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s. 13 Express 4*w**2 + 478*w**4 - 2*w**3 + 0*w**3 + 13 - 476*w**4 in the form j*w**2 + o*w**4 + p*w**3 + i*w + h and give o. 2 Rearrange 860*l**3 - 454*l**3 - 1 - 403*l**3 - 605*l to the form b + w*l + s*l**2 + u*l**3 and give b. -1 Express 2 + 2*r**3 - 14625*r**4 + 16*r**2 - 2*r**3 + 14628*r**4 as x + k*r**2 + d*r + v...
{ "pile_set_name": "DM Mathematics" }
culate the remainder when 35 is divided by 8. 3 What is the remainder when 613 is divided by 109? 68 What is the remainder when 92 is divided by 53? 39 What is the remainder when 873 is divided by 135? 63 Calculate the remainder when 95 is divided by 50. 45 What is the remainder when 237 is divided by 24? 21 What is th...
{ "pile_set_name": "DM Mathematics" }
53 (base 6) to base 11. -922 251 (base 14) to base 15 20d 121441 (base 5) to base 9 6304 2321 (base 7) to base 8 1520 Convert -1261 (base 7) to base 15. -224 Convert 199c (base 13) to base 2. 111100000111 What is 14340 (base 6) in base 12? 13b0 Convert -30520 (base 8) to base 7. -51543 Convert 39ad (base 16) to base 4....
{ "pile_set_name": "DM Mathematics" }
uppose k*a + 0 = 30. What are the prime factors of a? 2, 3 Suppose 0 = -4*b + 9 + 11. Let g be ((-28)/(-10))/((-1)/b). List the prime factors of g/(-8)*(-40)/(-5). 2, 7 Let k(n) = -n**3 + 3*n**2 + 4*n + 3. Let v be k(4). Suppose -v*o + 80 = o. List the prime factors of o. 2, 5 Let s = -85 - -175. List the prime factors...
{ "pile_set_name": "DM Mathematics" }
/5 (b) 1/4 (c) 4 (d) z a Let r = 136.73 + -136.83. What is the biggest value in -123, r, 3? 3 Let h = 14 - 14.9. Let v = 3 - 3. Let p = 45270 + -45268. What is the second smallest value in p, v, h? v Let c be (-6)/(12/(-23))*-10. Let f = c - -116. Let q be 2/(f/10*4). What is the third biggest value in 0.4, 0.07, q?...
{ "pile_set_name": "DM Mathematics" }
3 - 4009*g**2 + 5490*g**3 - 6593*g**2 wrt g. 50364 Find the second derivative of -1 - 23*j + 3382*j**3 - 467*j**5 - 3382*j**3 + 4880*j**5 wrt j. 88260*j**3 Let q(w) = 2*w**3 + 4*w**2 + w + 1. Let f(y) = -399*y**3 + 31*y**2 + 5*y - 10. Let u(b) = f(b) - 5*q(b). What is the third derivative of u(v) wrt v? -2454 Let i(w) ...
{ "pile_set_name": "DM Mathematics" }
/63? -2/9 160/64 - 10/(-4) - 7 -2 Calculate (42/70)/(-1 + 12/15). -3 Evaluate (0 - 0)*55/(-330). 0 Calculate (-4)/(60/(-51)) + (-2)/5. 3 (-1 - 0) + (21 - 24) -4 Calculate 8*(-2)/4 + 0. -4 Calculate (-583)/(-106) - 1/(-2). 6 -6 - 22/(-2) - 54/14 8/7 93/(-18) - 63/(-54) -4 Calculate (-57)/(-6) - 36/8. 5 What is the value...
{ "pile_set_name": "DM Mathematics" }
1655? -2/3 Which is smaller: 14/1537 or 1? 14/1537 Which is smaller: 1 or 1/10126? 1/10126 Which is smaller: -1198/7 or -171? -1198/7 Which is smaller: 3/127 or 1? 3/127 Is -26932/3 > -8977? False Are 1/26 and 3 non-equal? True Is -1/4 bigger than 0.015? False Which is smaller: -0.007 or 207? -0.007 Is 468 > 465? True ...
{ "pile_set_name": "DM Mathematics" }
= -k. Let h(f) be the first derivative of -159*f**2/2 - 26*f - 3128. Give h(w(d)). 159*d - 26 Let q(y) = -12*y - 130. Let w be q(-16). Let g(t) = -61*t**2 - w*t**2 + 248*t**2 - 61*t**2 - 67*t**2. Let v(p) = 2*p + 9. Determine g(v(c)). -12*c**2 - 108*c - 243 Let w(g) = 111*g - 10. Let z(n) = 383*n. What is w(z(v))? 4251...
{ "pile_set_name": "DM Mathematics" }
- 4 for q. -1 Solve 21 = 3*p, 318*i - 15 = 316*i - 3*p for i. -3 Solve -56 = 5*m - 71, 0 = -3*x + 3*m - 18 for x. -3 Solve 2*x = -3*n - 9, 70*n = 4*x + 68*n - 6 for x. 0 Solve 3*v - 21 = 2*k, -238*v - 57 = 9*k - 244*v for k. -3 Solve -58*n - 29 = -54*n - 3*d, -5*n = 2*d + 42 for n. -8 Solve -10 = -f - 5*g, 0 = -f + 4*...
{ "pile_set_name": "DM Mathematics" }
e Suppose 42 = -257*g + 251*g. Does g = 154? False Let l = -3.886 + 0.398. Let k = -3.52 - l. Which is greater: 1/3 or k? 1/3 Suppose -13*a + 195 + 26 = 0. Suppose -a*c = -27*c - 10. Is c at least 2/859? False Let k = -41 - 1. Let u = -10.5 - -11. Let d = u - -0.5. Which is greater: k or d? d Let o(r) = -7*r - 3. Let j...
{ "pile_set_name": "DM Mathematics" }
False Suppose -3*r + 4*b - 39 = -7, 4*r + 4*b = -24. Is r/(10/(-5)) - -2179 a prime number? False Suppose -15 = -y - 10*k + 5*k, 0 = 5*y - 3*k - 19. Let f(s) be the third derivative of s**5/60 - s**3/2 + s**2. Is f(y) a composite number? True Suppose 5*k = 7*k - 4. Suppose k*c - 3*q - 752 = -2*c, -2*q = -8. Is c prime...
{ "pile_set_name": "DM Mathematics" }
j. Let p(o) = 323*o**2 + 2*o. What is w(p(g))? 2261*g**2 + 14*g Let f(q) = -17*q**2 - 765. Let h(g) = -2*g**2. Give f(h(x)). -68*x**4 - 765 Let p(m) = 6*m. Let x(w) = -23628*w. What is x(p(k))? -141768*k Let h(t) = 16*t - 1. Let o be h(1). Let x(l) = o*l - 30*l + 6*l. Let c(v) = v. Determine x(c(a)). -9*a Let m(k) = -k...
{ "pile_set_name": "DM Mathematics" }
8, 8 = -a - 3*a. Let z be 2 - (-1 - (1 + t)). Let r(h) = -h**2 + 4*h + 1. What is r(z)? 1 Let t = 261 + -253. Let z(l) be the third derivative of -l**4/24 + 5*l**3/6 + l**2. Determine z(t). -3 Let m(p) = -3*p - 10. Let f be m(-5). Let t = 3 - f. Let h(l) = l**3 + 3*l**2 + 4*l + 2. What is h(t)? -2 Let x(f) = -f**2 - 8*...
{ "pile_set_name": "DM Mathematics" }
e tenths of a decade? 36 What is 18.71997 hours in milliseconds? 67391892 How many micrometers are there in 929568.6 meters? 929568600000 How many nanometers are there in 5/8 of a micrometer? 625 How many days are there in 9.9994905 nanoseconds? 0.00000000000011573484375 How many milliseconds are there in 85.23731 hour...
{ "pile_set_name": "DM Mathematics" }
*y + l + 709. What is the tens digit of y? 4 Let a be (-3 - -3)*1/(-1). Let w = a + 0. What is the tens digit of -25*(-2 + (w - -1))? 2 Suppose -287 - 22 = -3*v. What is the tens digit of v? 0 Suppose -28*w - 85 + 1485 = 0. What is the units digit of w? 0 Let o be (-10)/8*(3 - 7). Suppose 3*h = 5*h - o*c - 154, -3*c - ...
{ "pile_set_name": "DM Mathematics" }
e of 16 and q? 16 What is the common denominator of ((-258)/(-96))/(6/(-8)) and 33/26? 156 Let z(o) = -2*o - 3. Suppose 14 = -2*a - 4*c, -2*c - 11 = 4*a + 11. Calculate the least common multiple of z(a) and 6. 42 Let r = 61 + -547/9. What is the common denominator of -57/5 and r? 45 Let d = -2433540 - -442901751/182. L...
{ "pile_set_name": "DM Mathematics" }
tive of -p**2/2 - 5*p - 582. Give d(-15). 10 Let t(o) = -o**3 - 6*o**2 - 4*o. Suppose 5*x + 2*k = -21, 0 = 19*x - 24*x + 5*k. What is t(x)? -15 Let p(m) = -2*m**2 + 11*m + 6. Suppose -5*f + 5 = -4*q, 0 = -5*q - 2*f + 23 + 12. Suppose 0 = -q*o - 2*c + 34, -3*c - 38 = -5*o - 14. Give p(o). 0 Let b(n) = 2*n**2 + 4*n + 2. ...
{ "pile_set_name": "DM Mathematics" }
)). -1 Evaluate 24/(-6)*5/15*-3. 4 What is the value of 6/6*9/3*1? 3 (-6)/16*-4*2 3 Evaluate 3*8/(-14)*35/(-30). 2 (10/(-25)*-10)/38 2/19 What is the value of 5/5*(-250)/50? -5 Evaluate (-20)/(-32)*45/(-75). -3/8 (1*(-16)/6)/((-80)/(-120)) -4 Evaluate ((-6)/(-24)*-2)/(1/(-10)). 5 What is (15/45)/(-14*1/(-24))? 4/7 ((-8...
{ "pile_set_name": "DM Mathematics" }
3/281, 0.1, 2/29 Put 1, -884, -828, 2 in descending order. 2, 1, -828, -884 Put 26/19, -1/4, -1, -0.2, 36 in descending order. 36, 26/19, -0.2, -1/4, -1 Sort 433, 27, -2, -14, 2 in descending order. 433, 27, 2, -2, -14 Put 4, -9, -3, 1, -59, 3 in decreasing order. 4, 3, 1, -3, -9, -59 Sort -2, 2, 3, -3, -470, 0.96 in a...
{ "pile_set_name": "DM Mathematics" }
6. What is t(0)? 436 Let j(m) = 4177*m + 827048. Determine j(-198). 2 Let r(s) = -1026*s**2 + 82085*s - 406. Give r(80). -6 Let b(v) = -4329*v + 60622. What is b(14)? 16 Let q(p) = -p**3 - 55*p**2 - 27*p - 15512. Give q(-59). 5 Let r(t) = -t**2 + 5726*t + 74650. Calculate r(-13). 43 Let l(h) = -14545*h - 509008. Give l...
{ "pile_set_name": "DM Mathematics" }
((sqrt(66) - 5*sqrt(66))*-2)/sqrt(6). 8*sqrt(11) Simplify (sqrt(14) - (sqrt(224) - sqrt(224)*-1))/(2*-1*sqrt(7)). 7*sqrt(2)/2 Simplify ((sqrt(102) - (sqrt(102) - (sqrt(102) - (sqrt(102) - 2*sqrt(102))*-1)))/(sqrt(6) - sqrt(24)*-3 - sqrt(6)))**2. 0 Simplify (sqrt(567) + 3 - (2 + sqrt(7))*2)**2. -14*sqrt(7) + 344 Simpli...
{ "pile_set_name": "DM Mathematics" }
(u) be the third derivative of -u**6/40 - u**5/10 + u**3/6 + 10*u**2. Determine -4*l(n) + 3*o(n). -n**3 + 2*n**2 - 1 Let m(d) = -3*d**2 + 2*d + 2. Let i(z) = 8*z**2 - 7*z - 7. Give -2*i(p) - 7*m(p). 5*p**2 Let h(u) = -3*u - 2. Let f(q) = 4*q + 2. Let b be 6*4/(-8)*1. Give b*h(i) - 2*f(i). i + 2 Let r(n) = 3*n**3 - 9*n*...
{ "pile_set_name": "DM Mathematics" }
+ 1 = -2*j - 8*u for j. -3 Suppose -8*x = 2697 - 2817. Let w be (-9 - (-2 + 2))*4/(-12). Solve -2*s - 9 + 34 = -3*j, -x = w*j for s. 5 Suppose -h = -2*y + 25 - 5, 2*y - 2*h = 14. Solve 3*d = -6, -d = y*u - 15*u - 2 for u. -2 Let h be (-216)/504*28/(-3). Solve -5*t - 11 = 4*b, h*t = -4*b + 2*t - 2 for b. 1 Let t = -188 ...
{ "pile_set_name": "DM Mathematics" }
e remainder when 15799345 is divided by 112. 65 What is the remainder when 12568629 is divided by 8135? 54 Calculate the remainder when 1163782 is divided by 581884. 14 What is the remainder when 7270422 is divided by 4718? 4702 What is the remainder when 15524956 is divided by 156? 148 What is the remainder when 23696...
{ "pile_set_name": "DM Mathematics" }
1, b: 1, i: 2, n: 1, f: 1}. Give prob of sequence fv. 1/42 Three letters picked without replacement from {u: 3, v: 3, i: 7}. What is prob of sequence ivu? 21/572 Four letters picked without replacement from {n: 1, c: 3, a: 5}. Give prob of sequence aanc. 5/252 What is prob of sequence fmmc when four letters picked wit...
{ "pile_set_name": "DM Mathematics" }
cked without replacement from {w: 9, n: 11}. What is prob of sequence wnww? 77/1615 What is prob of sequence dd when two letters picked without replacement from vgdvgdgvv? 1/36 What is prob of sequence nd when two letters picked without replacement from {d: 8, y: 4, n: 2}? 8/91 Two letters picked without replacement fr...
{ "pile_set_name": "DM Mathematics" }
a factor of 103168048? True Does 25 divide 3510848787? False Is 5208246 a multiple of 8? False Is 538 a factor of 78539930? True Does 8 divide 8327214? False Is 80 a factor of 1001182880? True Is 1149090968 a multiple of 8? True Does 3269 divide 2640919481? False Is 317770065 a multiple of 1341? True Does 732 divide 50...
{ "pile_set_name": "DM Mathematics" }
t? -2208, 1, 17 Suppose 3*s**2 + 392780838*s + 12856398891665187 = 0. What is s? -65463473 Let -20*i**2 + 20555256*i + 4111052 = 0. Calculate i. -1/5, 1027763 Factor -m**2 - 17468602*m - 76288013958601. -(m + 8734301)**2 Determine x so that -345*x**4/2 + 30367*x**3/2 - 173461*x**2/2 + 258117*x/2 - 2583 = 0. 7/345, 3, 8...
{ "pile_set_name": "DM Mathematics" }
= 5*a**2 + 4*a - 4. Let p(l) = 4*n(l) + 9*o(l). Let x be 6/((-1)/((-2)/4)). Give p(x). 5 Let b(s) = -s**2 + s - 1. Let v(c) = -10*c**2 - 4*c + 5. Let p(m) = -5*b(m) - v(m). Give p(1). 14 Let t(x) be the first derivative of -2*x**3/3 + 3*x**2/2 + x - 2. Let h(m) = -m**2 + 2*m. Let z(l) = 5*h(l) - 3*t(l). Calculate z(-3...
{ "pile_set_name": "DM Mathematics" }
0. 0, 1, 3 Suppose 76*o - 68 = 42*o. Suppose -8/9 + 4/9*r**3 - 4/3*r + 0*r**o = 0. Calculate r. -1, 2 Let f = -32/277 + 17557/149580. Let p(v) be the third derivative of 0*v**5 - f*v**6 + 0 - 2*v**2 + 2/27*v**3 + 0*v + 1/36*v**4. Let p(b) = 0. Calculate b. -1, 2 Let c = 10686 - 10684. Factor 54/7*a + 243/7 + 3/7*a**c....
{ "pile_set_name": "DM Mathematics" }
224 is divided by 86. 80 What is the remainder when 1283928 is divided by 121? 118 Calculate the remainder when 182267235 is divided by 30377872. 3 What is the remainder when 1821381 is divided by 146? 31 Calculate the remainder when 14785615 is divided by 22. 9 Calculate the remainder when 645686 is divided by 454. 98...
{ "pile_set_name": "DM Mathematics" }
12) to base 8 -16616 What is 1001102102 (base 3) in base 12? bba8 80c8 (base 16) to base 3 1200020001 Convert 1021201 (base 3) to base 11. 782 Convert 324 (base 12) to base 15. 20a -3317 (base 9) to base 13 -1162 What is -700 (base 11) in base 12? -5a7 Convert 14321 (base 7) to base 4. 331133 199 (base 10) to base 16 ...
{ "pile_set_name": "DM Mathematics" }
(-10)/6*18/(-3). 8 Calculate the remainder when 36 is divided by (1/2)/((-1)/(-38) + 0). 17 Suppose -3*o - 5*a = -111, 4*a - 9*a = 4*o - 153. Calculate the remainder when o is divided by 15. 12 Suppose 0 = 4*y + k - 0*k - 1109, 2*k + 266 = y. Suppose 0 = -4*c + y - 60. What is the remainder when c is divided by 19? 16 ...
{ "pile_set_name": "DM Mathematics" }
olve -3*d = f*d + 10 for d. -2 Let g = 19 - 13. Suppose 0 = 2*n - g*n. Let w = -17 + 25. Solve -2*u + n*u + w = 0 for u. 4 Let q = 2006 + -1978. Solve 4*i + 3*i = q for i. 4 Suppose 18 = 6*z - 18. Let r(c) = 5*c**2 - 2*c + 1. Let y be r(1). Suppose -y*p = -7*p. Solve -z*o + o + 15 = p for o. 3 Suppose -3*d = 5*f - 21, ...
{ "pile_set_name": "DM Mathematics" }
culate the greatest common factor of z and o. 9 Suppose 5*l + 3*j - 874 = 0, l - 4*j - 185 = -1. Let a be 4/(-16) + 2172/(-16) + 4. Let k = -116 - a. What is the highest common divisor of l and k? 16 Let d = -5 - -7. Suppose -2*t = -3*p - 5*t + 99, -t = -d*p + 78. Calculate the greatest common factor of 148 and p. 37 L...
{ "pile_set_name": "DM Mathematics" }
368 What is the o'th term of 79, 315, 707, 1255, 1959, 2819, 3835? 78*o**2 + 2*o - 1 What is the h'th term of -23, -21, -11, 13, 57, 127? h**3 - 2*h**2 + h - 23 What is the b'th term of 39, 63, 73, 63, 27, -41? -b**3 - b**2 + 34*b + 7 What is the x'th term of -106, -208, -306, -400, -490? 2*x**2 - 108*x What is the c't...
{ "pile_set_name": "DM Mathematics" }
, -5*x = 3*u - 0*x - 280. What are the prime factors of u? 2, 3, 5 Suppose -7*a = -5*a. Suppose o - 3*q + 8 = a, -q - 25 = -6*q. What are the prime factors of o? 7 Let u(b) = 10*b**2 - 2*b - 5. What are the prime factors of u(-2)? 3, 13 Suppose 6*s + 32 = 2*s. What are the prime factors of (-13)/(4/s + 0)? 2, 13 Suppos...
{ "pile_set_name": "DM Mathematics" }
7774? 2455*l**2 + 50*l - 906 What is the v'th term of 5184, 6100, 7048, 8028, 9040, 10084, 11160? 16*v**2 + 868*v + 4300 What is the y'th term of 132472, 132539, 132600, 132655, 132704, 132747, 132784? -3*y**2 + 76*y + 132399 What is the b'th term of 71821, 71803, 71785, 71767? -18*b + 71839 What is the u'th term of 48...
{ "pile_set_name": "DM Mathematics" }
sqrt(4) - sqrt(9)) - sqrt(9)) + sqrt(9) + sqrt(18)/sqrt(8)))**2 + 5. 2805 Simplify -1*(-5 + (3 + -5*sqrt(1100))*5). -10 + 250*sqrt(11) Simplify ((sqrt(612)*1*3 + sqrt(612))*1 - ((sqrt(612) - (sqrt(612) - (0 + (sqrt(612) - 1*sqrt(612)))) - sqrt(612)) + (0 + sqrt(612))*5))**2. 0 Simplify (-2 + (4 + sqrt(1152) + -4 - sqrt...
{ "pile_set_name": "DM Mathematics" }
y. Let s(v) = v**3 + 6*v**2 + 6*v. Let q = 338 + -337. What is q*s(d) + 6*x(d)? -5*d**3 Let f(n) be the first derivative of n**2/2 - 15*n - 23. Let y be f(20). Let g(o) = -4*o**2 + 2*o. Let r(h) = 8*h**2 - 5*h. Determine y*g(b) + 2*r(b). -4*b**2 Suppose 459 = -6*l + 3*l. Let x be (2/(-2))/(17/l). Let f(b) = -2*b + 2. ...
{ "pile_set_name": "DM Mathematics" }
xpand (-2*x**2 - 4*x**2 + 5*x**2 + (2*x - 6*x + 3*x)*(-2 + 2*x + 2))*(2*x**2 - x**2 - 3*x**2 + (1 - 8*x + 9*x - 2)*(2*x + 58*x + 15*x)*(10 - 3 + 0)). -1569*x**4 + 1575*x**3 Expand (266*b + 45*b + 2363 - 2367)*(2*b**4 - b + b). 622*b**5 - 8*b**4 Expand (11*d + 12*d**2 - 44*d**2 + 30*d**2 + 57)*(-6*d**3 - 3*d**3 + 2*d**3...
{ "pile_set_name": "DM Mathematics" }
f**3 + 13*f**m - 4*f**3 wrt f. 18 Suppose 5*o + 3*y = 5, -o + 2*y + 0*y + 1 = 0. Differentiate t**2 - o + 2 + 3*t**2 - t**2 with respect to t. 6*t Suppose 0 = -7*m + 4*m + 9. Find the first derivative of 2*t**3 - 7*t**m - 21 + 23 wrt t. -15*t**2 Let b(h) = 2*h - 6. Let n be b(4). Suppose -i - 1 = -2*w - n, 3*i = 3*w + ...
{ "pile_set_name": "DM Mathematics" }
-2). What is the second smallest value in n, -1/3, y? -1/3 Let w = -9275/2 - -4638. Let l = 59.9 + -58. Which is the second biggest value? (a) -0.5 (b) 4/3 (c) w (d) l b Let z be (3 - -10) + -6 - (-1 - -12). Which is the third smallest value? (a) z (b) -1/10 (c) 1/3 (d) 0 d Let l = 5535 + -5535.2. Which is the ...
{ "pile_set_name": "DM Mathematics" }
84 What is the p'th term of -38352, -38349, -38346, -38343? 3*p - 38355 What is the v'th term of -2033407, -2033405, -2033393, -2033365, -2033315, -2033237, -2033125? v**3 - v**2 - 2*v - 2033405 What is the h'th term of -291, -418, -615, -912, -1339, -1926? -5*h**3 - 5*h**2 - 77*h - 204 What is the r'th term of -493, -...
{ "pile_set_name": "DM Mathematics" }
63 + 9417. Does 10 divide b? False Let u(l) = -4*l**3 + 20*l**2 - 4*l - 16. Let y(f) = f**3 - f - 1. Let q(w) = -u(w) - 5*y(w). Is 13 a factor of q(-21)? True Does 49 divide (130 + 2)/((-296)/(-288) - 1)? False Let m(z) = 99*z - 456. Is 3 a factor of m(13)? True Let t = 10847 - 3171. Is t a multiple of 202? True Let i(...
{ "pile_set_name": "DM Mathematics" }
culate the smallest common multiple of 10928 and 5980. 16337360 Calculate the least common multiple of 749808 and 28536. 21744432 Calculate the common denominator of 32/30291 and -137/426420. 187198380 Calculate the lowest common multiple of 71167635 and 71167635. 71167635 Calculate the smallest common multiple of 9752...
{ "pile_set_name": "DM Mathematics" }
itre? 250 What is 283.0446 micrometers in kilometers? 0.0000002830446 How many micrograms are there in 1909.253 grams? 1909253000 What is 1/6 of a year in months? 2 Convert 76.50372ml to litres. 0.07650372 How many nanograms are there in sixty-four fifths of a microgram? 12800 Convert 228.9454 millilitres to litres. 0....
{ "pile_set_name": "DM Mathematics" }
. Let d(o) = 4*o**3 - 2*o**2 - 6*o. Let a(w) = -5*w**3 + 2*w**2 + 5*w. Let z(n) = 5*a(n) + 4*d(n). Calculate z(p). 10 Let p be (-40)/7 - (-2)/(-7). Let o(i) be the second derivative of -i**3/6 - 7*i**2/2 + 308*i. Determine o(p). -1 Let y(s) = s**2 + 7*s + 9. Let a(v) = -v**3 + 5*v**2 - 5. Let r be a(5). Let w be y(r). ...
{ "pile_set_name": "DM Mathematics" }
2))? 3 Suppose 5*n + 7 + 3 = 0. Let q(r) = 22*r**2 - r - 2. What is the tens digit of q(n)? 8 Let x(n) be the first derivative of -n**4/4 - n**3 + n**2 - 2*n - 1. Let q be 3 + -9 + -5 + (-6)/(-1). What is the tens digit of x(q)? 3 Suppose -5*p = 7*v - 2*v - 5, 0 = -3*v - 5*p - 5. Suppose 5*u - v*g = 255, 4*u - 3*u - 4*...
{ "pile_set_name": "DM Mathematics" }
c = g + -5. What is the lowest common multiple of 9 and c? 18 Let t = -1/1474 - -41277/7370. Find the common denominator of t and -51/40. 40 Let p = -1867/812 + 13/348. Calculate the common denominator of p and -17/126. 126 Let b(g) = -2*g**2 - 21*g + 7. Let r be b(-10). What is the common denominator of (46/4)/((-1)/2...
{ "pile_set_name": "DM Mathematics" }
f be b(m). What is the biggest value in f, 2/13, -2/3? 2/13 Let q = 0.32 - 2.62. What is the biggest value in -4, q, 0.1? 0.1 Let z = 17 - 19. Let r = -32/7 + 263/56. Which is the smallest value? (a) -4/3 (b) r (c) z c Let g = -0.88 - 74.12. Let o = g - -73. What is the third biggest value in -3/7, 0.1, 3/8, o? -3/7...
{ "pile_set_name": "DM Mathematics" }
ed without replacement from {p: 6, x: 2}. Give prob of picking 2 p. 15/28 Two letters picked without replacement from {l: 3, s: 5, v: 2, a: 6, w: 1}. What is prob of picking 1 a and 1 w? 3/68 Four letters picked without replacement from {j: 4, w: 1, d: 1, y: 2, v: 1}. Give prob of picking 1 y, 1 w, and 2 j. 2/21 Calcul...
{ "pile_set_name": "DM Mathematics" }
. Calculate j(6). 10 Let c(w) = w**3 + 10*w**2 + w + 12. Let v be c(-10). Let m(z) = 14*z**3 - 2*z. Let t(k) = -6*k**3 + k. Let a(o) = 4*m(o) + 9*t(o). Calculate a(v). 18 Let w(i) = -i**2 + i + 10. Suppose 0 = -4*u - k + 2, -6 = -u - u - 3*k. Suppose 5*s - 9*s + 8 = u. Let z be (-2)/8*2 + 1/s. Give w(z). 10 Let t be (-...
{ "pile_set_name": "DM Mathematics" }
ple of d(9) and 9. 18 Let z = -5251/36417 + -2/597. Let g be (-20)/(-976)*(-2063)/(-10). Let n = z - g. Calculate the common denominator of 97/4 and n. 8 Let x = -9155/8 - -1135. Calculate the common denominator of 34/97 and x. 776 Let i = -25 - -35. Calculate the least common multiple of 1 and i. 10 Find the common de...
{ "pile_set_name": "DM Mathematics" }
10.41 188815 * -3 -566445 Multiply 0.205 and -34. -6.97 5121 times -6 -30726 -45 * -11296 508320 Calculate -0.02*0.1241. -0.002482 17515 * -19 -332785 What is 1004 times -85.2? -85540.8 -97927 times 0.6 -58756.2 Work out -2.1 * 1.994. -4.1874 0.2 * 8414 1682.8 Work out 1.4 * -50.2. -70.28 -52.82 * -8 422.56 Multiply -1...
{ "pile_set_name": "DM Mathematics" }
placement from {r: 1, x: 5, y: 3, u: 1, e: 4}. Give prob of sequence xee. 5/182 What is prob of sequence nvvn when four letters picked without replacement from {v: 4, n: 16}? 8/323 What is prob of sequence gdq when three letters picked without replacement from qqdpghqghgg? 2/165 Calculate prob of sequence be when two l...
{ "pile_set_name": "DM Mathematics" }
mainder when 3817543 is divided by 1272504? 31 Calculate the remainder when 15720423 is divided by 102. 81 What is the remainder when 2076664 is divided by 833? 828 What is the remainder when 62873 is divided by 1591? 824 Calculate the remainder when 400156 is divided by 57157. 57 Calculate the remainder when 433041 is...
{ "pile_set_name": "DM Mathematics" }
a composite number? True Suppose -5*s + 4 = -3*v + 2*v, 4*v + s - 47 = 0. Suppose 15*x = v*x + 3692. Is x prime? False Suppose 12 = 3*m - 2*k, -5*k + 0 = 5*m + 5. Suppose 0 = 3*q - m*u + 2, -q - 4*u = -0*u - 18. Suppose -3*j - q*w + 1118 = -3*w, 5*w = 5*j - 1880. Is j composite? True Let h(j) = 389*j - 409. Is h(24) pr...
{ "pile_set_name": "DM Mathematics" }
3*j + 4*p - 14, z*j + 4 = 7*j - 2*p. Solve 5*g - 12 = -3*q, 0 = -4*q + j*q + g + 8 for q. 4 Suppose -137*y - 162*y - 1035 = -344*y. Solve -4*a - r + 7 = 0, -5*a - y*r + 19*r = -17 for a. 1 Let m = 13962 + -13946. Solve v + k = -2, 12*v + k = m*v + 3 for v. -1 Let n be 2 + 195/(-26)*4/(-10) + -5. Solve 3*z - 2*l - 13 = ...
{ "pile_set_name": "DM Mathematics" }
1326 Calculate -69 divided by -26603. 69/26603 Calculate 6426 divided by 17. 378 -668168 divided by 5 -668168/5 4707 divided by -1569 -3 -21636 divided by 5409 -4 -4 divided by 784256 -1/196064 What is 2 divided by 23679? 2/23679 Divide -24588 by 36. -683 2 divided by 6684 1/3342 Calculate 20356 divided by -5. -20356/5...
{ "pile_set_name": "DM Mathematics" }
olve 114*u - 43 = 119*u - 4*q, u = -19*q + 229 for u. 1 Solve 21249*k - 2*x = 21252*k - 8, 4*x = 16 for k. 0 Solve 0 = -249*k + 2*m + 2726 - 2682, -3*k - m - 22 = 0 for k. 0 Solve 0 = 14*v - 10*v - n - 79 + 77, -2*n - 6 = -10*v for v. 1 Solve 2*r - v = -2, 928 = -r + 4*v + 899 for r. 3 Solve 104*n - 213 = -3*u, -32046*...
{ "pile_set_name": "DM Mathematics" }
it of 6381468? 6 What is the tens digit of 14255? 5 What is the hundreds digit of 6968609? 6 What is the tens digit of 4265645? 4 What is the units digit of 177982? 2 What is the hundred thousands digit of 797989? 7 What is the thousands digit of 131607? 1 What is the hundreds digit of 2547872? 8 What is the thousands ...
{ "pile_set_name": "DM Mathematics" }
((-16)/u)/((-2)/8). Solve 3*a - 6 = 2*k, 3*k - q - 15 = -m*a for k. 3 Let n(h) = 28*h + 52*h - 195 - 2*h - 188. Let q be n(5). Solve -4*s + 8 = 2*w, 9 + q = -5*s + 4*w for s. 0 Let p(u) = -370*u - 8505. Let f be p(-23). Solve -2*v = 4*m + 4, -5*m - 3 = -f*v + 2 for v. 0 Let g = 183 + -204. Let w = 55 - 26. Let j = w +...
{ "pile_set_name": "DM Mathematics" }
ebmmm? 2/35 Three letters picked without replacement from {i: 2, e: 1, c: 1, o: 1, f: 2, y: 2}. What is prob of picking 1 f, 1 o, and 1 i? 1/21 Two letters picked without replacement from issni. What is prob of picking 1 n and 1 s? 1/5 Two letters picked without replacement from sqqtsqsqststmqsqqt. Give prob of picking...
{ "pile_set_name": "DM Mathematics" }
2 What comes next: -91, -93, -95, -97, -99, -101? -103 What comes next: 25, 107, 253, 469, 761? 1135 What is the next term in 36, 71, 106, 141? 176 What is the next term in -262, -528, -794, -1060, -1326? -1592 What comes next: 27, 59, 95, 135, 179, 227? 279 What is next in -3917, -3915, -3911, -3905? -3897 What is nex...
{ "pile_set_name": "DM Mathematics" }
**2 + 12*i + 10. What is the units digit of a(20)? 2 Let w(q) = 10*q + 28. Let r be w(-6). What is the units digit of -3 - (3/6*-2 + r)? 0 Suppose 5*q - 25 = -3*n, -4*q - 2*n - 25 = -9*q. Suppose s = 8 - q. What is the units digit of s? 3 Let a be 0 - -5 - (5 + -4). Let g(h) = 4*h**2 + 2*h + 9. What is the tens digit o...
{ "pile_set_name": "DM Mathematics" }
3 + (-5 + -3*sqrt(13))**2 - (-4 + (sqrt(13) + -1 - sqrt(13)) - (sqrt(13) + (sqrt(13) + (sqrt(13) - sqrt(13)*-1))*3 + sqrt(13)))**2. -1456 - 50*sqrt(13) Simplify ((-4 + (-1 + sqrt(1008) - sqrt(1008) - sqrt(1008)) - (-3*(sqrt(1008) + 1*sqrt(1008) + sqrt(1008)) - sqrt(1008)))*6)**2. -38880*sqrt(7) + 2940228 Simplify (5*sq...
{ "pile_set_name": "DM Mathematics" }
equence mmm when three letters picked without replacement from {m: 9}. 1 Calculate prob of sequence wxl when three letters picked without replacement from {i: 1, x: 4, o: 3, w: 2, v: 2, l: 2}. 2/273 Two letters picked without replacement from pyynany. What is prob of sequence ya? 1/14 Calculate prob of sequence nq when...
{ "pile_set_name": "DM Mathematics" }
be the second derivative of v**4/12 + v**3/2 - v**2/2 + v. Let z be r(-4). Suppose -z*x - 8 = -5*x. What is the units digit of x? 4 Suppose 4*h - 51 - 533 = 0. What is the units digit of h? 6 Let t(l) = l - 3. Let j be t(-5). Let c = j - -12. What is the units digit of c? 4 What is the units digit of ((-508)/(-16))/((...
{ "pile_set_name": "DM Mathematics" }
what is -11 - -515053? 515042 In base 13, what is 3bc5 - -4? 3bc9 In base 6, what is -2011 + -1145? -3200 In base 3, what is -10202202 + -1? -10202210 In base 14, what is -5 + 1abb2? 1abab In base 11, what is -39581 - -4? -39578 In base 15, what is 8 - 80b? -803 In base 11, what is 1904 + 2a? 1933 In base 13, what is ...
{ "pile_set_name": "DM Mathematics" }
6, what is -61f4 + 60? -6194 In base 3, what is -122222 + -11011001? -11211000 In base 11, what is 22986 + 3a? 22a15 In base 7, what is 614361 + -4? 614354 In base 16, what is d3 - -4a? 11d In base 16, what is -19aeca + -1? -19aecb In base 4, what is -301 - -103112233? 103111332 In base 10, what is -343 + 414? 71 In ba...
{ "pile_set_name": "DM Mathematics" }
265? 5, 53 What are the prime factors of 995? 5, 199 What are the prime factors of 1347? 3, 449 List the prime factors of 36579. 3, 89, 137 What are the prime factors of 109521? 3, 43, 283 What are the prime factors of 473? 11, 43 What are the prime factors of 758? 2, 379 List the prime factors of 143287. 143287 What ...
{ "pile_set_name": "DM Mathematics" }
se -4*g + 3*g = -1, -m - 5*g = -19. Suppose 4*r - m = -2*d, -r - 3*r = -3*d + 41. Let y = 17 - d. Is y a multiple of 4? False Does 47 divide 114 - (2/(-4))/((-1)/(-6))? False Suppose 13*c + 252 = 19*c. Is 40 a factor of c? False Let j be (-1)/4 + (-828)/16. Let d be 4/10 - j/20. Suppose -9 = -q + d. Is 5 a factor of q?...
{ "pile_set_name": "DM Mathematics" }
26 In base 13, what is 4 + b0? b4 In base 2, what is -100 + -11101101010? -11101101110 In base 7, what is -4 + 6642? 6635 In base 14, what is 28a - -1? 28b In base 15, what is -3 + -13a? -13d In base 12, what is 21 - 8? 15 In base 10, what is 4 + 64? 68 In base 13, what is -10c - 0? -10c In base 3, what is -211 - 20122...
{ "pile_set_name": "DM Mathematics" }
reasing order. 5, n, p Let k = -56.56 - -56.58. Put 0.5, -0.3, k, 0, 435 in descending order. 435, 0.5, k, 0, -0.3 Suppose 0*j + 30 = -2*v + 2*j, -v = 2*j + 12. Let q be (-3)/(-7 + 40/6). Sort 3, q, v in increasing order. v, 3, q Let f(h) = 36*h - 456. Let d be f(23). Put -4, 5, d in ascending order. -4, 5, d Let f = 7...
{ "pile_set_name": "DM Mathematics" }
ries in decades? 350593.4 How many litres are there in 7.117422 millilitres? 0.007117422 How many months are there in seventeen quarters of a decade? 510 How many months are there in 6/25 of a millennium? 2880 How many milligrams are there in 0.5179092kg? 517909.2 What is 72.26568mm in nanometers? 72265680 What is 2981...
{ "pile_set_name": "DM Mathematics" }
-455*h - 106. Let s(v) = 73*v + 18. Determine 4*i(u) + 23*s(u). -141*u - 10 Let v(z) = 2*z**2 - z - 1. Let m(a) = 4*a**3 - 4*a**2 + 2*a + 28. Determine -2*m(k) - 4*v(k). -8*k**3 - 52 Let c = 28 + -24. Suppose -3*l + 3*g = 5 + 4, -4*g + c = 4*l. Let f(z) = -z**3 - 2*z**2 + 2*z. Let j(o) = -o**3 - o**2. Determine l*f(r)...
{ "pile_set_name": "DM Mathematics" }
. Suppose -j - m = -f*j. Is j a composite number? False Let a = 879 + -113. Suppose -5*j - 6 = -3*j. Is a + 0 - (6 + j) a prime number? False Suppose 4*w - 37211 = -3*x + 8*w, -5*x = 3*w - 62057. Is x a prime number? True Let t(y) = -487*y - 950. Is t(-9) composite? False Is -3 - (-2236 - 3/(-6)*-2) prime? False Let v(...
{ "pile_set_name": "DM Mathematics" }
rounded to the nearest one million? 11000000 Let d = -0.027 - 5.073. Let f = d - -5.0999977. Round f to 6 dps. -0.000002 Let s = 0.24700234 - 0.247. What is s rounded to 7 dps? 0.0000023 Let b = -4.3 + 2.4. Let q = b + 1. Let l = 5.5 + q. Round l to the nearest integer. 5 Let s = -7.85 + 8. Let x = 0.11 - 0.13. Let q =...
{ "pile_set_name": "DM Mathematics" }
is divided by 136. 38 What is the remainder when 21 is divided by 10? 1 What is the remainder when 822 is divided by 15? 12 Calculate the remainder when 2181 is divided by 1087. 7 What is the remainder when 2430 is divided by 38? 36 What is the remainder when 39 is divided by 14? 11 What is the remainder when 128 is di...
{ "pile_set_name": "DM Mathematics" }
e of i**7/1260 - i**6/540 - 2*i**3/3 - 4. Let g(h) be the third derivative of b(h). Factor g(o). 2*o**2*(o - 1)/3 Let p = -2 - -5. Factor -3*y**3 + p*y**3 - 2*y**4. -2*y**4 Let o be 3 + 0 + -2 + -1. Determine k, given that -1/4*k**4 + o*k + 0*k**2 + 0 + 1/4*k**3 = 0. 0, 1 Let t(p) be the third derivative of -p**6/210 -...
{ "pile_set_name": "DM Mathematics" }
k**2 + 10*k + 66948*k**2. 1303*k**2 Collect the terms in -1796 - 13*x**2 - 2*x**2 - 1778 - 1800 + 5374. -15*x**2 Collect the terms in -1487 - 1513 + 6029 - 113*d**2 - 1519 - 1510. -113*d**2 Collect the terms in -2022*q - 4381*q - 1622*q. -8025*q Collect the terms in -7703617*u - 4 - 67489048*u + 4. -75192665*u Collect ...
{ "pile_set_name": "DM Mathematics" }
-1 What is 1 + 7 + 8 - 7? 9 -6 - -9 - (1 + -3) 5 Evaluate (-2 - -1) + -16 - -11. -6 Calculate (-6 - -9) + -8 + (3 - -3). 1 What is -1 - 5 - -5 - (2 + 2)? -5 What is the value of 30 + -36 - (1 - 5)? -2 Evaluate 15 + (-8 - 7) - (0 - 5). 5 What is (0 - -3) + (-1 - 2) - 0? 0 What is -18 - -17 - (0 + 0 + 4)? -5 Calculate -...
{ "pile_set_name": "DM Mathematics" }
ify (sqrt(448) + 2)**2*-2. -904 - 64*sqrt(7) Simplify 2*(-2*sqrt(1331) - sqrt(1331))*3. -198*sqrt(11) Simplify ((4 + -1 + sqrt(7) + sqrt(7) + (sqrt(70)*2 - sqrt(70))/sqrt(10) + sqrt(7))*5)**2. 600*sqrt(7) + 3025 Simplify 6*(sqrt(160)/sqrt(2) - sqrt(5)) + 1. 1 + 18*sqrt(5) Simplify (sqrt(7) - (-2 + sqrt(7))*-5 - (0 + sq...
{ "pile_set_name": "DM Mathematics" }
29). Suppose 5*l - i = -0*b - 2*b, f = -2*b. Is 12 a factor of l? True Suppose -p = 12*p + 663. Let c = -35 - p. Does 3 divide c? False Let r = 319 - 299. Does 4 divide r? True Suppose -4*i + 3*o = 34, -2*i - 4 = -2*o + 12. Let j be 34/10 + i/25. Suppose -3*n = -5*z - 110, -4*n + z = -j*n - 34. Does 15 divide n? True S...
{ "pile_set_name": "DM Mathematics" }
Let q be 6/(-3)*(-2)/c. Does 2 divide (-3)/(4 + q) - -3? True Let n = 12 + -7. Suppose 4*m - 1 - 15 = 0, -y = n*m - 18. Is 4/(-1)*1/y a multiple of 2? True Does 39 divide 3/1 + 360/3? False Suppose -3*u - u = -24. Let q = -6 - -16. Let l = q + u. Is 7 a factor of l? False Let w(p) be the second derivative of -p**4/12 ...
{ "pile_set_name": "DM Mathematics" }
r o. -31 Solve 0 = -22*n - 105*n + 1016 for n. 8 Solve -9*a + 49 - 117 + 59 = 0 for a. -1 Solve 9282 = f + 9291 for f. -9 Solve -3*v + 12 = -15*v for v. -1 Solve 6956*t - 6974*t = 90 for t. -5 Solve 18*j = 113 + 301 for j. 23 Solve 28 + 42 = -11*s - 3*s for s. -5 Solve -400 = -23*l - 44*l + 17*l for l. 8 Solve -2517 = ...
{ "pile_set_name": "DM Mathematics" }
7*q**2 + 28*q**2 to a*q + z*q**2 + g and give z. 86 Rearrange -3*o - 2*o - o + (-3*o - 3*o + 4*o)*(2 - 3 + 0) + 98 - 98 - 17*o to f + w*o and give f. 0 Rearrange -3*o**2 + 16*o**4 - 4*o + 10*o**4 + 0*o**4 - 3*o + 3*o to n*o**4 + m + a*o**2 + x*o**3 + h*o and give h. -4 Express -164*z + 58*z + 53*z - 55*z**3 + 57*z + 33...
{ "pile_set_name": "DM Mathematics" }
1 + 21*g**6 - 61*g**6 + 66*g - 7*g**f + 8*g**2 - 1 wrt g? -4800*g**3 Let t(v) = 11*v**2 - 131*v - 8. Let y be t(12). Find the first derivative of -6*g**4 - 9095*g**3 + 10*g**y + 119 + 9095*g**3 + g - 46*g**4 wrt g. -168*g**3 + 1 Let b(m) be the third derivative of -4751*m**6/120 + 43*m**5/30 + 3*m**3 - 7*m**2 - m + 25...
{ "pile_set_name": "DM Mathematics" }
t. Put -2, l, 3 in decreasing order. 3, l, -2 Let k = -988 + 925. Put -2/103, k, -2/3 in increasing order. k, -2/3, -2/103 Let x be (-1)/((-20)/6) + (1134/(-180))/1. Sort x, 0.01, 0.2, 5, 0.16 in ascending order. x, 0.01, 0.16, 0.2, 5 Let b = 13.1561 - 12.6561. Let k = -1 - -0.6. Put k, b, 20 in descending order. 20, b...
{ "pile_set_name": "DM Mathematics" }
Let b = 629.5 + d. What is the nearest to 0.15 in -0.1, -1/3, b, 2? -0.1 Let i = -11032 + 11032.1. What is the nearest to i in -5, 4.9, -2/19, -0.1? -0.1 Let i = -205 + 117. Let m = i + 51. Which is the nearest to 0? (a) m (b) 1 (c) -4/3 b Let t be ((-30)/(-18))/(42/(-9) - -5). Suppose 20 = -3*n + 14*y - 10*y, 0 = ...
{ "pile_set_name": "DM Mathematics" }
s smaller: -15949 or -2? -15949 Is -388070 >= -388072? True Which is bigger: 15/48761 or -1? 15/48761 Is 1 not equal to 115088? True Is 46975 smaller than 46979? True Is -0.39105 greater than or equal to 2? False Is -599 at most as big as -590? True Which is smaller: -21/6337 or 1? -21/6337 Do 5 and -583883 have differ...
{ "pile_set_name": "DM Mathematics" }
(d) 3 d What is the third smallest value in -0.3, 36, 2, -5? 2 What is the smallest value in 3.7, 0.1, -2, -0.017? -2 What is the smallest value in 43, -3, 0, 2? -3 Which is the third smallest value? (a) -0.03 (b) 19 (c) 0.1 (d) -7 c Which is the second smallest value? (a) -2/11 (b) -0.03 (c) 0.3 b Which is the...
{ "pile_set_name": "DM Mathematics" }
82645? 82655 What is the next term in -19413, -19421, -19429, -19437, -19445? -19453 What is the next term in -981, -1968, -2961, -3960, -4965, -5976? -6993 What comes next: 743, 1629, 2515, 3401, 4287? 5173 What is the next term in -208318, -833283, -1874892, -3333145, -5208042, -7499583? -10207768 What is the next t...
{ "pile_set_name": "DM Mathematics" }
= 433209 - 271346. Is r a prime number? False Let u be 0/20 + -1 + 3. Suppose -275 = -2*r - 3*z, -z + u*z = -4*r + 545. Is 6*(-6)/12 + r a composite number? True Let y = -86 - -84. Is y/7 + 121671/63 prime? True Suppose -8*x = -0*x - 9720. Suppose 385 + x = 4*l. Is l - (-3)/(-6)*6 a prime number? True Let b = -14264 - ...
{ "pile_set_name": "DM Mathematics" }
219012, -8*g - 26 = -b for g. 1 Solve -3*p - 5*d = -62, 514 = 198591*p - 198570*p - 5*d for p. 24 Solve 18*a - 6*m = -m + 124, 0 = 10*m - 16 + 80 + 61 + 15 for a. 3 Solve -2*h - 3*j - 61 = -30 - 34, 3*j + 9 = 4*h + 6*j for h. 3 Solve 32*l - 37*l + 3*o - 15 - 31 = 0, -3 = -0*l - 5*l - 4*o for l. -5 Solve l - c = 8 + 17...
{ "pile_set_name": "DM Mathematics" }
= 0.17 - 16.17. Let s = 16 + r. Which is smaller: z or s? s Let v be (-36 - -3)*(-2)/6. Let y(l) = 7*l - 35. Let o be y(6). Let d be (-170)/(-119)*o/1. Is v >= d? True Suppose 3*a = -3*d + 201, -68*d = -4*a - 67*d + 293. Which is smaller: 67 or a? 67 Suppose 3*m + 5*a + 0 = 1, -4*a + 5 = 3*m. Let n(o) = 3*o - 10 + m*o...
{ "pile_set_name": "DM Mathematics" }
1. Let a be y(9). Suppose 0*u = a*u. Suppose 90 = -u*n + 5*n. What is the remainder when n is divided by 7? 4 Let d(z) = 2*z**2 - z + 1. Let g be 8224/(-112) + 8/(-14). Let a = 99 + g. What is the remainder when a is divided by d(2)? 4 Let h(n) = 12*n + 7. Let t(j) be the third derivative of 11*j**5/30 - j**4/12 - j**3...
{ "pile_set_name": "DM Mathematics" }
1? 2063 Which is smaller: -691 or -32/19? -691 Is -729 greater than or equal to -832? True Which is smaller: -32563/2 or -16283? -16283 Which is smaller: -1 or 10/3353? -1 Is 6713 < 422956/63? True Which is bigger: 1/114175 or 0? 1/114175 Which is smaller: -10/2851 or 0? -10/2851 Do -49/186902 and 0 have different valu...
{ "pile_set_name": "DM Mathematics" }