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. -8246*l Let a(p) be the third derivative of p**5/10 + 13*p**2 - p. Let k(l) = 12*l. What is a(k(q))? 864*q**2 Let g(p) = 6*p + 4. Let h(v) = -v - 1. Let i(m) = -m**3 + 7*m**2 - 5*m - 2. Let b be i(6). Let k(a) = b*h(a) + g(a). Let t(n) = 2 - 2*n - 2. Determine t(k(x)). -4*x Let z(c) = -2*c. Let s(j) be the second der...
{ "pile_set_name": "DM Mathematics" }
- 8*a**2*d What is the derivative of -666*i**3*n - 3*i**3 - 3*i**2 + 4*n + 1391 wrt i? -1998*i**2*n - 9*i**2 - 6*i Find the third derivative of -1977*r**2*z**6 + 75*r**2*z**2 - 29*r**2*z - 2*z**6 wrt z. -237240*r**2*z**3 - 240*z**3 What is the second derivative of 39*a*p**3 + 8*a*p*r - 4*a*p + 2*p**4*r + 2*p**2*r - r -...
{ "pile_set_name": "DM Mathematics" }
, 216? 171 What is the next term in 56, 35, 0, -49, -112, -189? -280 What is the next term in 69, 257, 563, 981, 1505, 2129? 2847 What is next in -18, -29, -38, -45, -50? -53 What is the next term in -1095, -4383, -9865, -17541, -27411, -39475? -53733 What is the next term in 4, 21, 50, 97, 168, 269? 406 What is the ne...
{ "pile_set_name": "DM Mathematics" }
44*t - 45304 = 0. -7, 1618 Solve 2*x**2/5 + 16488*x/5 + 115318/5 = 0. -8237, -7 Find q, given that 2*q**3/11 - 114*q**2/11 + 1960*q/11 - 9408/11 = 0. 8, 21, 28 Suppose -2*w**2 - 17896*w - 374934 = 0. What is w? -8927, -21 Factor -5*v**3 + 393025*v**2 - 7723629040*v + 7723236020. -5*(v - 39302)**2*(v - 1) Find z such th...
{ "pile_set_name": "DM Mathematics" }
t value in -2/13, o, 4? 4 Let m = -0.1 - -0.1. Let p = 0.15196 - -0.24804. What is the biggest value in m, -4, p, 4/7? 4/7 Let o be ((-4)/14)/(2/4). Let v = 82.946 - 83. Let g = v + 0.054. Which is the third biggest value? (a) -4 (b) o (c) g a Let u be (-1)/(-3)*(-24)/(-40). Suppose k + 11 = 6*v - 2*v, -5*k = -4*v +...
{ "pile_set_name": "DM Mathematics" }
16*sqrt(7) + 17 Simplify sqrt(119)/(1*sqrt(63)) - ((-5*(sqrt(153) + (sqrt(153) - (sqrt(153) + 3))))**2 + sqrt(153)). -4050 + 1342*sqrt(17)/3 Simplify 1 + (((sqrt(84) + -3*sqrt(84))*2 - sqrt(84))/sqrt(12) + 3 + sqrt(21)/sqrt(147))**2. -204*sqrt(7)/7 + 1226/7 Simplify 2*(sqrt(588)*-3)/(sqrt(150) + sqrt(150) + sqrt(150)*1...
{ "pile_set_name": "DM Mathematics" }
-2*t - 335. Let r(u) = -2*u**2 + 10*u - 10. Let f be r(7). Let h = f - t. Calculate the highest common factor of 9 and h. 9 Suppose -4*b + 32 = -2*b. Suppose -c = -2*c + 24. Calculate the greatest common factor of b and c. 8 Let c(l) = -l - 6. Let s be c(-4). Let q = s - -4. Calculate the greatest common factor of q an...
{ "pile_set_name": "DM Mathematics" }
-49559, -49560? -s - 49554 What is the p'th term of 36050, 36042, 36034? -8*p + 36058 What is the f'th term of -1400, -1599, -1798, -1997? -199*f - 1201 What is the n'th term of -3532, -7061, -10590, -14119, -17648? -3529*n - 3 What is the k'th term of -839603, -839605, -839607, -839609, -839611? -2*k - 839601 What is ...
{ "pile_set_name": "DM Mathematics" }
s -1 greater than or equal to -50/85571539? False Is -4.3892 greater than or equal to -2? False Which is greater: 1 or -233/59412? 1 Which is bigger: 62018612/25 or 2480743? 62018612/25 Which is smaller: 879/9472 or 1? 879/9472 Does -2/1503 = -1967588? False Is -89322335 less than or equal to -89322335? True Is 63127 a...
{ "pile_set_name": "DM Mathematics" }
- 4*n, -2*b - 189 = -7*b - 2*n. Let z(u) = u**3 + 10*u**2 - 6*u - 52. What is the remainder when b is divided by z(-10)? 5 Suppose k = -0 - 1. Calculate the remainder when ((-100 - 0) + -2)/k is divided by (150/4)/(-15)*5616/(-520). 21 Let i(d) = -d**3 + 18*d**2 + 322*d - 36. Calculate the remainder when 226 is divided...
{ "pile_set_name": "DM Mathematics" }
vative of j**6/20 - 4*j**3 - 35*j**2. What is the derivative of x(z) wrt z? 18*z**2 Differentiate -10*r**2 + 19 - r**2 - 8*r**2 with respect to r. -38*r Let f(o) be the first derivative of 3 + 0*o**4 + 3/2*o**2 + 0*o**5 + 0*o**3 + 0*o + 2/3*o**6. Find the second derivative of f(a) wrt a. 80*a**3 Suppose -3 = -4*t - 155...
{ "pile_set_name": "DM Mathematics" }
at is the units digit of m? 6 Let u = -126 - -212. What is the units digit of u? 6 Suppose -a - a = 34. What is the tens digit of a/(-1) + (3 - 1)? 1 Let a(h) = h**2 - h. Let s be a(3). What is the tens digit of 1/s + (-1938)/(-36)? 5 Let x(k) = 3*k**3 - 8*k**2 + 2*k - 1. Suppose 4*r + 4 = -4. Let f(t) = 10*t**3 - 24*t...
{ "pile_set_name": "DM Mathematics" }
9. 15 4 divided by -40 -1/10 Divide 135 by -45. -3 What is 15 divided by -4? -15/4 Divide -22 by -34. 11/17 -294 divided by 3 -98 -370 divided by 5 -74 Calculate 1 divided by -35. -1/35 -812 divided by 28 -29 -66 divided by 55 -6/5 What is 3174 divided by 6? 529 What is -6530 divided by -6? 3265/3 Calculate 1051 divid...
{ "pile_set_name": "DM Mathematics" }
of 17? False Is 3280 a multiple of 40? True Is 988 a multiple of 52? True Is 61 a factor of 9993? False Is 440 a multiple of 4? True Is 9 a factor of 1395? True Does 16 divide 2672? True Is 427 a multiple of 7? True Does 2 divide 169? False Does 14 divide 238? True Does 42 divide 9599? False Is 1755 a multiple of 26? F...
{ "pile_set_name": "DM Mathematics" }
v be 1*2 + (-7 - -10). Suppose 0 = -o + 2*k + v, 11 + 9 = 4*o - 5*k. Suppose -o*n + 2 = -8. What is the units digit of n? 2 Suppose 26*q = -21*q + 28294. What is the tens digit of q? 0 Suppose h - d - d = 6, 3*h + 2*d = 2. Suppose -7*l = -h*l. Suppose -5*r = -4*u - 34, 4*u - 16 = -l*u. What is the tens digit of r? 1 S...
{ "pile_set_name": "DM Mathematics" }
t is the highest common divisor of 1980 and 450? 90 What is the greatest common factor of 10365 and 6? 3 What is the greatest common factor of 208 and 64? 16 Calculate the greatest common factor of 264 and 1512. 24 What is the highest common divisor of 26 and 481? 13 Calculate the highest common factor of 3627 and 117....
{ "pile_set_name": "DM Mathematics" }
mplify (3*(4 + -2*sqrt(171) + (sqrt(171) - -3*(sqrt(171) + -4))))**2. -864*sqrt(19) + 6732 Simplify (-4*sqrt(70)*6 - sqrt(70))/((-5*sqrt(70) - sqrt(70))/sqrt(7))*-2. -25*sqrt(7)/3 Simplify (2 + sqrt(5) + -2 - sqrt(25)/(sqrt(5)*-2)) + -1 + -2*(2 + sqrt(5)). -5 - sqrt(5)/2 Simplify 6*(sqrt(100)/sqrt(5)*-3)/(4*sqrt(100))....
{ "pile_set_name": "DM Mathematics" }
6 In base 9, what is -343 - -87? -245 In base 14, what is -4 + -26? -2a In base 2, what is -1000010011 - -10? -1000010001 In base 5, what is 3 + -1010? -1002 In base 2, what is 100 - 11010101000? -11010100100 In base 4, what is -100030 + -11? -100101 In base 7, what is -30 - 30? -60 In base 14, what is 2 + -cb3? -cb1 I...
{ "pile_set_name": "DM Mathematics" }
decimal places? -0.0066 What is -6.937052398 rounded to two dps? -6.94 Round -0.0000643817718 to 5 decimal places. -0.00006 Round -62151.212 to the nearest 1000. -62000 Round 27335969.32 to the nearest 100000. 27300000 What is -0.000000209501697 rounded to seven dps? -0.0000002 What is 6554046.105 rounded to the neare...
{ "pile_set_name": "DM Mathematics" }
irst derivative of j(r). Factor o(q). q**3*(q + 1) Let z = 101 - 98. Let g(t) be the third derivative of 3/8*t**4 - 3/20*t**5 - t**2 + 1/40*t**6 + 0 - 1/2*t**z + 0*t. Determine d, given that g(d) = 0. 1 Let y(w) be the first derivative of -2*w**5/15 + 7*w**4/3 - 22*w**3/3 - 112*w**2/3 - 128*w/3 - 45. Solve y(n) = 0 for...
{ "pile_set_name": "DM Mathematics" }
ram in micrograms? 75 What is 95.39972 hours in microseconds? 343438992000 How many kilometers are there in 5402.005mm? 0.005402005 How many kilograms are there in 6/25 of a tonne? 240 How many grams are there in 6.859857kg? 6859.857 How many microseconds are there in 670169.2 milliseconds? 670169200 How many microgram...
{ "pile_set_name": "DM Mathematics" }
11044164*n wrt v? 4473*n*v**2 - 4540*n Find the first derivative of -113*f*q - 56703625*f + 3921*q**2 wrt q. -113*f + 7842*q What is the second derivative of -j**2*u**2 - 41601395*j**2 - j*u**2 + 1724*j*u + 3*j + 5*u**2 + u + 473 wrt j? -2*u**2 - 83202790 Find the second derivative of -117*g**3*u**3 - 141*g**3*u**2 + 4...
{ "pile_set_name": "DM Mathematics" }
igit of l(1)? 4 Suppose -5*g = 3*l - 331, 2*l + 321 = 5*g - 0*l. What is the tens digit of g? 6 Suppose -4*k = -2*b + 6, b = 4*b + k - 16. Suppose -24 = -b*p + 96. What is the units digit of p? 4 Let j = -7 + 13. Let g(n) = -4*n + 2 + 4 + 5*n. What is the tens digit of g(j)? 1 Let m(i) = i**3 + 11*i**2 + 7*i + 11. What...
{ "pile_set_name": "DM Mathematics" }
Collect the terms in 20*m**3 + 8665*m**2 + 45*m**3 - 8665*m**2. 65*m**3 Collect the terms in 174*a**3 + 742*a**3 + 405*a**3 - 139*a**3. 1182*a**3 Collect the terms in 841030*k**2 - 420513*k**2 - 420513*k**2. 4*k**2 Collect the terms in 243*u**2 + 0*u - 68*u**2 + 121*u**2 - 2*u. 296*u**2 - 2*u Collect the terms in 130 -...
{ "pile_set_name": "DM Mathematics" }
(b) -0.89 (c) -0.27 c Which is the third biggest value? (a) 3/11 (b) 0.3 (c) 4 a What is the biggest value in 7, 3/5, 17, 8? 17 Which is the fourth biggest value? (a) -5 (b) 2/81 (c) -3 (d) -4 a What is the second biggest value in -69, 3, -1/7? -1/7 What is the second smallest value in 1, -3/2, -2? -3/2 Which...
{ "pile_set_name": "DM Mathematics" }
tive of 568*k + 201*k + 57 + 164*k - 398 + 239*k wrt k? 1172 Suppose -595 - 585 = -10*g. Let l(i) be the first derivative of -12*i**2 + g*i**4 - 241*i**4 + 115*i**4 - 33. Find the second derivative of l(s) wrt s. -192*s Let n(o) = -o**3 + o**2 + o - 1. Let j(a) = -422*a**5 + 9*a**3 - 11*a**2 - 9*a + 228. Let x(w) = -j(...
{ "pile_set_name": "DM Mathematics" }
349 What is -100554 minus -0.211773? -100553.788227 What is 0.3 plus 385099014? 385099014.3 What is the distance between 25.6865 and 2091.4? 2065.7135 What is -0.1 take away 490800560? -490800560.1 What is 5 minus 24190176? -24190171 -241+-773373.58 -773614.58 Work out -3802370 - -2881. -3799489 Calculate 639.839649 + ...
{ "pile_set_name": "DM Mathematics" }
at is the millions digit of 11670805? 1 What is the thousands digit of 576925? 6 What is the ten thousands digit of 192187? 9 What is the hundreds digit of 30247? 2 What is the units digit of 224562? 2 What is the units digit of 372021? 1 What is the tens digit of 72026? 2 What is the tens digit of 941762? 6 What is th...
{ "pile_set_name": "DM Mathematics" }
67151 a composite number? False Is 75155 prime? False Is 352679 composite? True Is 44819 composite? False Is 207409 composite? False Is 7903 a composite number? True Is 34233 a composite number? True Is 34781 a prime number? True Is 992513 composite? False Is 11797 composite? True Is 188179 a prime number? True Is 3377...
{ "pile_set_name": "DM Mathematics" }
*2 + 1/6*z**3 + 0 + i*z**4. z*(z - 3)*(z + 2)**2/6 Let n(z) = -25*z**4 - 52*z**3 + z**2 + 10*z. Let d(b) = -275*b**4 - 570*b**3 + 10*b**2 + 110*b. Let p(k) = -6*d(k) + 65*n(k). Factor p(h). 5*h*(h + 1)**2*(5*h - 2) Let l(f) be the third derivative of -f**5/60 + 169*f**4/12 + 340*f**3/3 - 53*f**2 + 3. Factor l(d). -(d -...
{ "pile_set_name": "DM Mathematics" }
to 6 dps? 0.000009 What is -334544 rounded to the nearest one thousand? -335000 What is -132.033 rounded to the nearest integer? -132 What is -0.009308602 rounded to 3 decimal places? -0.009 What is -0.00184237 rounded to five dps? -0.00184 What is -2.15918 rounded to 2 dps? -2.16 What is 0.1384373 rounded to four dec...
{ "pile_set_name": "DM Mathematics" }
d biggest value in -3/5, 1/3, -8, q? -3/5 Let q = -0.205 - -83.205. Let b = q - 83.6. Let w = -519/5 + 103. What is the third biggest value in w, 0.5, b? w Let l = -1733 + 1751. What is the smallest value in l, -25, 0.5? -25 Let o = 12736 - 12733. What is the fifth biggest value in o, -17, 4, -3/4, -2? -17 Let v(i) be ...
{ "pile_set_name": "DM Mathematics" }
Put b, 2/7, 3/5 in increasing order. b, 2/7, 3/5 Suppose -4*x = -2*x - 2. Let s = -0.7 + 0.4. Let a = -0.2 - s. Sort x, 4, a. a, x, 4 Let l = 0.7 - 0.3. Let v = 8.4 - l. Let t = v + -8. Put 1, t, -3 in decreasing order. 1, t, -3 Let h(m) = m**3 - 22*m**2 - 21*m - 49. Let k be h(23). Put k, 4, -2 in increasing order. k...
{ "pile_set_name": "DM Mathematics" }
(12 + 24/18 + -12)? 42 Let l be 12/10 - 142346/(-87568). Let y = l - 3/5473. Find the common denominator of y and 13/12. 120 Let q(z) = 8*z**2 + 120*z + 56. Calculate the smallest common multiple of q(-16) and 32. 736 Let g be ((-99)/44)/(-2 + (-13)/(-8)). Suppose 7 = g*m + 43. What is the common denominator of 71/6 an...
{ "pile_set_name": "DM Mathematics" }
3 a Which is the nearest to 0.2? (a) -24.5 (b) 0.5 (c) -1.1 b What is the nearest to 11/9 in 2, -8, 282? 2 What is the nearest to 3 in 0, -2, -13586? 0 What is the nearest to 2 in 0.3, 5, 2/7, -1.1, -0.3? 0.3 What is the closest to 2 in 6965, 12, 3? 3 Which is the nearest to -9? (a) 8/11 (b) -3 (c) -774 b Which i...
{ "pile_set_name": "DM Mathematics" }
. 959407.85 Work out 0.18719 * -0.3. -0.056157 Work out -212.8 * -32.696. 6957.7088 What is the product of -0.7 and 4611380? -3227966 Product of 0.709648 and 35. 24.83768 Calculate -4103.148014*-0.4. 1641.2592056 Work out -6 * 232599. -1395594 -4 * -3248646.2 12994584.8 Product of 4 and -70.9851. -283.9404 What is 99 t...
{ "pile_set_name": "DM Mathematics" }
c. -3 Solve -i = 2*r + 4*i - 6, 4*r = -3*i - 2 for r. -2 Solve -3*q + 7 = 4*x, 0 = 4*q - 2*x + 39 - 41 for q. 1 Solve 3 = -c + 2*q, 0 = -5*c + c + 4*q - 12 for c. -3 Solve 0 = u + 4*f + 42 - 26, 5*u - 5*f = -5 for u. -4 Solve -o - 6 = -4*u + 2, -5*o = 2*u + 18 for o. -4 Solve 56*u + 12 = 55*u - 4*j, j + 3 = -3*u for u...
{ "pile_set_name": "DM Mathematics" }
ate p(z). -7 Let i(l) be the first derivative of l**4/4 + l**3/3 + 3*l - 8. Give i(0). 3 Let r(f) = 3 - 4*f + 2*f - 2*f + 5*f. Calculate r(-2). 1 Let z(o) = -10*o**2 - 2*o + 1. Let l(u) = -11*u**2 - 2*u + 2. Let q(k) = -2*l(k) + 3*z(k). Let p = 1 + -3. Let v be p - 1 - 2*-1. What is q(v)? -7 Let d(k) = 4*k**3 + 1. Let ...
{ "pile_set_name": "DM Mathematics" }
, 0, 0.10783? 0.10783 What is the nearest to -8.6 in -2.4, -4, 0.1, -13, 1/4? -13 Which is the closest to 6063? (a) 0.3 (b) -9 (c) -0.4 (d) -2/7 (e) -5/6 a What is the nearest to -1.8 in 6/5, -1, -0.493? -1 Which is the nearest to -33/16? (a) -3/7 (b) 0 (c) 348/5 (d) -0.6 d What is the closest to 265.7 in -3, ...
{ "pile_set_name": "DM Mathematics" }
y b*b**13*b/((b**(-3)/b*b)/b)*(b**(-2/7))**(1/12) assuming b is positive. b**(797/42) Simplify (((l**(-2/7)/l)**(2/41))**38)**(5/9) assuming l is positive. l**(-380/287) Simplify (p**(14/5)*(p**(1/16)*p)/p)**(-1/8) assuming p is positive. p**(-229/640) Simplify ((w/((w*w**6)/w))/(w**35*w))/(w**(-34)/(w**(-12)*w)) assum...
{ "pile_set_name": "DM Mathematics" }
*(-477/40) Simplify (((o/(o*o**(-2/13)/o))**(-6/7))**38)**(-49) assuming o is positive. o**(23940/13) Simplify s/(s/(s*(s/(s*s**(-3)*s))/s))*(s*s*(s**(-11)/s)/s*s)/s*(s/(s*s**(-34)/s*s*s))/(s*s**17*s*s) assuming s is positive. s**4 Simplify (g/g**(5/6)*g**(-3/4)/g)/(g*g*g*g**11*g*g*(g*g**(-10)*g*g)/g) assuming g is pos...
{ "pile_set_name": "DM Mathematics" }
2 - 3*r**2). r**4 Expand (3 - 3 + 2*y)*(-30 + 18 + 43) + (-1 + 2 - 2)*(-2 + 2 - 2*y) + 3*y + 0*y - 4*y - 2 + 2 + y. 64*y Expand 3*m - 3*m - m**3 + (m**2 + 3*m**2 - 3*m**2)*(-11 - 6*m + 11) - 3*m**2 - m**3 + 3*m**2 + (m**3 - m + m)*(3 - 2 - 2). -9*m**3 Expand -l + l + l**3 + (2 - 1 + 1)*(1 + l**3 - 1) + (-5*l + 0*l + l)...
{ "pile_set_name": "DM Mathematics" }
? 2 What is the units digit of 16079? 9 What is the thousands digit of 3607558? 7 What is the hundred thousands digit of 456424? 4 What is the hundred thousands digit of 33833912? 8 What is the thousands digit of 27868? 7 What is the units digit of 1656285? 5 What is the tens digit of 194866? 6 What is the thousands di...
{ "pile_set_name": "DM Mathematics" }
(-5). Suppose p - x = -p. Solve 4*l = 3*k - 10, p*l + l = 3*k - 9 for k. 2 Suppose 2*x = 5*x - 48. Let f = 30 - x. Let q = -10 + f. Solve -u = 0, u + 4 = q*c + 2*u for c. 1 Suppose 2*a - 29 = -9. Suppose 5*q - 3*q = a. Solve q*x + 19 = -3*m, x + 1 = -2*m - 0 for x. -5 Let x be (-4)/(-16) + (3 - (-140)/16). Solve -2*j -...
{ "pile_set_name": "DM Mathematics" }
. Let t(w) = -w**2 - 4*w + 1. Let x = 75631 - 75629. Let j(i) = -5*i**2 - 21*i + 6. Calculate f*t(k) + x*j(k). k**2 + 2*k + 1 Let u(t) = 159*t**3 + 5*t**2 - 3*t - 2. Let s(c) = 488*c**3 + 17*c**2 - 10*c - 7. Give -4*s(x) + 14*u(x). 274*x**3 + 2*x**2 - 2*x Let o(u) = -2*u**2 - 8. Let x(k) = -8*k**2 - 33. Suppose 8*l = 3...
{ "pile_set_name": "DM Mathematics" }
es are there between 9:31 PM and 4:11 AM? 400 What is 373 minutes after 8:11 PM? 2:24 AM What is 667 minutes after 1:27 AM? 12:34 PM What is 39 minutes after 3:58 AM? 4:37 AM How many minutes are there between 8:59 PM and 1:55 AM? 296 What is 309 minutes after 11:38 AM? 4:47 PM What is 443 minutes after 6:23 AM? 1:46 P...
{ "pile_set_name": "DM Mathematics" }
of 472, 476, 482, 490, 500, 512? g**2 + g + 470 What is the f'th term of -2217, -2219, -2221, -2223, -2225, -2227? -2*f - 2215 What is the i'th term of 35, 26, 17, 8? -9*i + 44 What is the m'th term of 5, -21, -57, -103, -159, -225, -301? -5*m**2 - 11*m + 21 What is the z'th term of -10, 2, 14, 26, 38, 50? 12*z - 22 W...
{ "pile_set_name": "DM Mathematics" }
-161683, -161671, -161657, -161641, -161623, -161603? l**2 + 7*l - 161701 What is the z'th term of 4114, 4615, 5134, 5671, 6226, 6799? 9*z**2 + 474*z + 3631 What is the t'th term of 161084, 161890, 162696, 163502, 164308, 165114? 806*t + 160278 What is the i'th term of 3855587, 7711170, 11566753? 3855583*i + 4 What is...
{ "pile_set_name": "DM Mathematics" }
6 + -15082/1465. Let i = -2349/5 + 474. Calculate the common denominator of i and t. 10 Suppose k = -3*b + 183, 719 = 4*k - 4*b + 3*b. Let z = 16/37 - -2468/111. Find the common denominator of z and k/33 - 6/2. 33 Suppose 2*c + 5*j = 4, -5 = -c - 0*c - j. Let k = 72 - 70. Calculate the smallest common multiple of c and...
{ "pile_set_name": "DM Mathematics" }
re? 100 How many hours are there in 21/2 of a week? 1764 Convert 189.7793ms to microseconds. 189779.3 What is 32/5 of a meter in centimeters? 640 What is one fifth of a meter in millimeters? 200 How many millilitres are there in one tenth of a litre? 100 How many kilograms are there in five eighths of a tonne? 625 How ...
{ "pile_set_name": "DM Mathematics" }
many hours are there in 0.8511271 weeks? 142.9893528 What is 5/4 of a litre in millilitres? 1250 What is three fifths of a litre in millilitres? 600 How many minutes are there in 15/4 of a hour? 225 How many years are there in one fifth of a millennium? 200 How many months are there in 4/15 of a century? 320 How many ...
{ "pile_set_name": "DM Mathematics" }
/(-252). 3/4 What is the value of 2 + 2/(-6) + (-130)/60? -1/2 (8/(-6))/(-4*(-4)/24) -2 What is 0 + 4 - (-1 - -1)? 4 Calculate 65/(-25) + 2 - (-66)/(-15). -5 Evaluate ((-21)/(-84))/((-39)/24). -2/13 (-2)/(4*1)*4/(-9) 2/9 What is (-15)/(1155/(-44))*-1? -4/7 Calculate (-11)/(-35) - 5/(25/3). -2/7 What is 8/12*(6 + 0)? 4 ...
{ "pile_set_name": "DM Mathematics" }
Calculate -2*m(u) - s(u). u + 32 Let l(g) be the first derivative of 5/2*g**2 + 32 + 7*g. Let b(p) = 23*p + 21. Let y(m) = 11*m + 11. Let c(k) = 2*b(k) - 5*y(k). Give -6*c(h) - 11*l(h). -h + 1 Suppose 3*y - 172 = 5*o, 3*y + 5*o = 3*o + 137. Let z(v) = 0*v**2 + y*v - 43*v - 2*v**2 - 3*v**3. Let s(a) = 2*a**3 + 2*a**2 - ...
{ "pile_set_name": "DM Mathematics" }
o = 2 + p for o. -5 Let a be (-12*(3/(-2) - -1))/(27 - 25). Solve -a*h - 3*h = h for h. 0 Let v(o) = -59*o - 337. Let r(l) = 19*l + 112. Let b(g) = 19*r(g) + 6*v(g). Let p be b(-15). Solve -p = -3*s - 13 for s. -4 Let i(r) = 7*r - 205. Let y be i(30). Suppose 3*z - 20 = y*o, -18 = -4*z + 5*o - 7*o. Solve z*c - 4*c = 0 ...
{ "pile_set_name": "DM Mathematics" }
g - 44 + 24 = 0. Suppose -g*r = -w - 17, r - 7 = w + 1. Solve 2 = -8*p + r*p for p. 2 Suppose 0 = -3*q + d + 15, -q + 0*d + 4*d + 16 = 0. Let y = -41 + 41. Solve y*g = q*g for g. 0 Let w be 624/(-36) - (-4)/(-6). Let b = -14 - w. Let k be 2*b/((-4)/(-2)). Solve 0 = -k*z + z for z. 0 Suppose -u + 8 = 3*u + 3*v, 2*u = 3*...
{ "pile_set_name": "DM Mathematics" }
ird biggest value? (a) -4 (b) 4 (c) 0.1 (d) 5.8 (e) 0.6 (f) 0.7 f Which is the third biggest value? (a) -3 (b) -186747 (c) 2 b What is the fourth smallest value in -0.46083, -5, 0.3, 0.4? 0.4 Which is the biggest value? (a) -14/3 (b) 420 (c) -17 b What is the second biggest value in 3, 2/3, 0.01, -0.13? 2/3...
{ "pile_set_name": "DM Mathematics" }
0.009 Suppose 4*s = -3*h + 1 - 9, -s - 25 = -5*h. Let p be ((-6)/h)/(2/(-9462908)). Let x = p - -15202819. What is x rounded to the nearest 1000000? 22000000 Let m = -86 - -169. Let l = 50.3 - m. What is l rounded to zero decimal places? -33 Suppose 90*d - 120871 - 328679 = 0. Round d to the nearest one thousand. 5000...
{ "pile_set_name": "DM Mathematics" }
- 1 - 4*h wrt h? -24*h**2 Let u(j) be the first derivative of j**8/84 + j**4/24 + 22*j**3/3 + 13. Let q(m) be the third derivative of u(m). Differentiate q(s) with respect to s. 80*s**3 Suppose k - 28 = -6*k. What is the derivative of -6 - 5 - 7*b**k + 2 + 3 wrt b? -28*b**3 What is the second derivative of 22*d**2 + 8*...
{ "pile_set_name": "DM Mathematics" }
1858. Determine i(-77). -67 Let j(k) = k**3 - 38*k**2 + 193*k + 3. What is j(6)? 9 Let f(l) = -31*l**2 + 39*l + 143. What is f(-4)? -509 Let s(k) = k**3 - 3*k**2 + 32*k - 8. What is s(5)? 202 Let z(x) = 483*x - 10647. Give z(22). -21 Let d(q) = -q**3 - 27*q**2 + 53*q - 130. Give d(-29). 15 Let f(b) = b**3 + 64*b**2 - ...
{ "pile_set_name": "DM Mathematics" }
= 78/5 + h. Let i = 1.766 - 0.766. What is the nearest to i in 0.3, 4, m? 0.3 Let f = -2010 - -2012. Which is the closest to -3/5? (a) -5/3 (b) -0.4 (c) f b Suppose 3*k + 4*o + 19 = 2*o, 3 = k - 4*o. Let y = -1 - -1. Let w = -323 - -968/3. Which is the closest to w? (a) y (b) -3 (c) k a Let m be (-4)/7*(-1)/2. L...
{ "pile_set_name": "DM Mathematics" }
3081222? 1027074*r What is the v'th term of -1003, -1007, -1011, -1015, -1019, -1023? -4*v - 999 What is the t'th term of -95827, -95830, -95835, -95842, -95851? -t**2 - 95826 What is the u'th term of 220, 419, 630, 859, 1112, 1395, 1714? u**3 + 192*u + 27 What is the n'th term of -58283, -116566, -174849, -233132? -5...
{ "pile_set_name": "DM Mathematics" }
- 5 = 4*q. What is the remainder when 18 is divided by q? 3 Let c = 6 - 2. What is the remainder when 17 is divided by c? 1 Suppose 0 = 3*d + 5*y + 10, -y = 4*d + d + 24. Calculate the remainder when (3 + d)*(-74)/4 is divided by 13. 11 Let k be (-1)/(-4) - 7/(-4). Calculate the remainder when 44 - k/((-2)/3) is divid...
{ "pile_set_name": "DM Mathematics" }
pose 4*v - 10942 = 334. Is v a prime number? True Let m(d) = -2*d - 4. Let q be m(-6). Suppose 0 = b - 27 + q. Is b a composite number? False Suppose -4*v + i + 3 + 13 = 0, v - 3*i = -7. Suppose 3*o - 7 = -v*l + 3, 2*o = 4*l - 8. Let u(t) = -t + 145. Is u(o) a prime number? False Suppose -4*i - 4 = 0, -6*i + 4*i - 17 =...
{ "pile_set_name": "DM Mathematics" }
16 = -2*k + 2*r, -4*r - 23 = -5*k. Suppose 4*b + 3*y - 4*y - 41 = 0, k*b + 2*y = 28. What is the remainder when 19 is divided by b? 9 Let j be ((-1)/1)/((-2)/4). Suppose -3*d + v + 17 = -4, j*v + 21 = 3*d. Suppose -d = -4*a + 13. Calculate the remainder when 9 is divided by a. 4 Let a = 25 + -17. Suppose d + 4 = 0, -5*...
{ "pile_set_name": "DM Mathematics" }
sqrt(17) - 2*sqrt(1700)) + 1*1*sqrt(17)). -6*sqrt(17) + 281 Simplify (-5 + (sqrt(75) + -2 + sqrt(75) - sqrt(75)))**2. -70*sqrt(3) + 124 Simplify ((-1*sqrt(330))/sqrt(6))/sqrt(5). -sqrt(11) Simplify (-2*(sqrt(605) + 1 + sqrt(605) + 3))**2. 704*sqrt(5) + 9744 Simplify sqrt(24)/(sqrt(24)/sqrt(2)) + sqrt(2) + sqrt(200). 12...
{ "pile_set_name": "DM Mathematics" }
and 30246? 151230 Find the common denominator of 45/296 and -89/526. 77848 What is the common denominator of -55/14028 and 139/23380? 70140 What is the lowest common multiple of 11288 and 4? 11288 Calculate the smallest common multiple of 777 and 1593. 412587 What is the common denominator of -161/5412 and 76/759033? 3...
{ "pile_set_name": "DM Mathematics" }
+ 4*u = 238. Let g = u + z. Is g a multiple of 19? True Let x = -16 - -33. Suppose 3*f = 2*f + x. Does 9 divide f? False Let w(g) = 14*g - 5. Let c(y) = -y**3 - 13*y**2 - 12*y + 3. Let z be c(-12). Is 24 a factor of w(z)? False Let o = -11 - 10. Let i = 2 - -49. Let a = o + i. Is 15 a factor of a? True Suppose 0 = -3*...
{ "pile_set_name": "DM Mathematics" }
hen j is divided by 4? 2 Suppose -143 = -4*v + 101. Let z = -39 + v. What is the remainder when 87 is divided by z? 21 What is the remainder when 65 is divided by 1 + (-44)/(-3 - -1)? 19 Suppose -28 = -2*f + 2*c, 10*f = 5*f - 3*c + 70. Let y(l) = -l**3 + 8*l**2 - 2*l - 6. What is the remainder when y(6) is divided by f...
{ "pile_set_name": "DM Mathematics" }
Suppose 4*j + 20 = x*k - 6, -2*k + 5*j = -30. Suppose 10*r + k = 5. Solve -4*q - 4*n = -8, r = 4*q - 0*q + 2*n for q. -2 Let q(n) = -n**2 + 214*n + 1112. Let k be q(-5). Solve -s + 2*t - k = 7*t, -2*s - 14 = 5*t for s. 3 Let i be ((-88)/(-33))/((-4)/6). Let n be (3 + -1 + -1 + i)*-1. Suppose 0 = n*j - 6, 5*q - 2*j + 4 ...
{ "pile_set_name": "DM Mathematics" }
many minutes are there between 11:12 AM and 6:45 PM? 453 What is 655 minutes before 2:07 PM? 3:12 AM What is 342 minutes before 3:35 AM? 9:53 PM How many minutes are there between 1:09 AM and 5:43 AM? 274 What is 693 minutes before 12:41 AM? 1:08 PM How many minutes are there between 6:06 PM and 5:48 AM? 702 How many m...
{ "pile_set_name": "DM Mathematics" }
p(s) = -35*s**2 + 40*s + 40. Let w(r) = -r**2 + r + 1. Let b(q) = 3*p(q) - 120*w(q). What is the units digit of b(2)? 0 Let h be (-5 + (-130)/(-5))*7. Suppose -3*l + h = n, 3*n = -3*l + 7*n + 132. What is the units digit of l? 8 Suppose -33 - 92 = -m - 2*t, 4*t + 107 = m. What is the units digit of m? 9 Let c = 2039 - ...
{ "pile_set_name": "DM Mathematics" }
AM and 7:11 PM? 557 How many minutes are there between 12:38 AM and 1:17 AM? 39 What is 618 minutes after 8:10 PM? 6:28 AM How many minutes are there between 6:53 PM and 12:02 AM? 309 How many minutes are there between 5:10 AM and 9:59 AM? 289 How many minutes are there between 8:29 AM and 3:41 PM? 432 How many minutes...
{ "pile_set_name": "DM Mathematics" }
the nearest integer? 33 What is the eighth root of 46499 to the nearest integer? 4 What is the cube root of 1954 to the nearest integer? 13 What is 12022 to the power of 1/10, to the nearest integer? 3 What is the fourth root of 8180 to the nearest integer? 10 What is the square root of 5713 to the nearest integer? 76 ...
{ "pile_set_name": "DM Mathematics" }
+ s*r - 1/4*r**2 = 0. Calculate r. -1, 0 Let m be (552/644)/((-9)/(-21)). Let o(s) be the third derivative of -1/660*s**6 + 0*s**3 + 0*s**4 - 17*s**m + 0 + 0*s - 1/165*s**5. Factor o(z). -2*z**2*(z + 2)/11 Let x(m) be the first derivative of 33*m + 129/4*m**2 - 3/8*m**4 + 267 + 10*m**3. Factor x(h). -3*(h - 22)*(h + 1...
{ "pile_set_name": "DM Mathematics" }
8614.649. What is v rounded to zero dps? -38 Let m = -51.9311 + 7.4421. What is m rounded to 1 decimal place? -44.5 Let w = 22 + 28. Let r = w + -6. Let k = -43.99992 + r. What is k rounded to 4 decimal places? 0.0001 Suppose 0 = 4*f - 3*t + 4*t + 93041474, -116301838 = 5*f - t. Let r = -9330368 - f. Round r to the nea...
{ "pile_set_name": "DM Mathematics" }
picking 4 m? 21/646 Two letters picked without replacement from ggaaaaaaaaagaaaagag. Give prob of picking 2 g. 10/171 Two letters picked without replacement from {y: 1, x: 2}. What is prob of picking 2 x? 1/3 Two letters picked without replacement from {d: 4, o: 1, r: 1, p: 4}. What is prob of picking 2 p? 2/15 Calcul...
{ "pile_set_name": "DM Mathematics" }
ere between 5:23 PM and 1:47 AM? 504 What is 254 minutes after 4:19 PM? 8:33 PM How many minutes are there between 6:33 AM and 9:57 AM? 204 What is 238 minutes after 1:34 AM? 5:32 AM How many minutes are there between 2:44 AM and 2:23 PM? 699 What is 719 minutes before 10:23 AM? 10:24 PM How many minutes are there betw...
{ "pile_set_name": "DM Mathematics" }
equal to 0? True Which is smaller: 9097/6 or 1515? 1515 Which is smaller: 128 or 122? 122 Which is smaller: 3750 or 3751? 3750 Which is bigger: 1 or 1/2213? 1 Is -49 greater than or equal to -52? True Is -20/3757 at least as big as -1? True Which is greater: 638 or 634? 638 Is -33 > 20? False Which is greater: 0.21041...
{ "pile_set_name": "DM Mathematics" }
ppose 52*s - 8 = 48*s. Let y be z(s). Is y >= 32? True Let j = 961 - 961.2. Let g = -2186/9 - -28388/117. Is g greater than j? False Let i = 5785 + -5707. Which is smaller: 71 or i? 71 Let x = 435 + -434. Is -1/1287 at least x? False Let a be (-18)/27 - ((-178100)/6)/(-10). Which is smaller: a or -2970? -2970 Let j(i) ...
{ "pile_set_name": "DM Mathematics" }
ppose 4*y = 94 + 346. Calculate the remainder when y is divided by 20. 10 Suppose 0 = 5*t - 3*j - 32, 3*t + 5*j + 8 = -0*j. Calculate the remainder when 13 is divided by t. 1 Let c = 393 + -349. What is the remainder when c is divided by 12? 8 Suppose 0 = 6*z - 70 + 478. Let w = z - -114. What is the remainder when w i...
{ "pile_set_name": "DM Mathematics" }
9 What is -41.316 rounded to 0 decimal places? -41 Round 40190 to the nearest 1000. 40000 Round -0.0001982 to four decimal places. -0.0002 Round 0.0001233 to 4 dps. 0.0001 What is -0.050134 rounded to three dps? -0.05 Round 169.91 to the nearest ten. 170 What is 51723.1 rounded to the nearest one thousand? 52000 What i...
{ "pile_set_name": "DM Mathematics" }
what is 1231 + -123500? -122236 In base 11, what is -767202a - 1? -7672030 In base 14, what is dcc4a2 + 3? dcc4a5 In base 13, what is -49b - 953c? -9a0a In base 2, what is -11 + -101110001010111100010? -101110001010111100101 In base 14, what is 21 - 51bc01? -51bbc0 In base 4, what is -10 + -211012132132? -211012132202 ...
{ "pile_set_name": "DM Mathematics" }
t integer? -133 Suppose -3*q = -q + 19420. Let p be ((-2)/6)/((-7)/109410). Let y = q + p. What is y rounded to the nearest 1000? -5000 Let n = -9611 - -9625.168. What is n rounded to zero decimal places? 14 Suppose -11 + 5 = -2*a. Suppose a*i = 3*m + 218391, -72809 = -m + 2*m + 3*i. Round m to the nearest ten thousand...
{ "pile_set_name": "DM Mathematics" }
illennium in decades? 540 How many months are there in sixty-eight thirds of a year? 272 How many millilitres are there in 17/2 of a litre? 8500 What is thirty-three fifths of a millennium in years? 6600 How many millilitres are there in 6278.567 litres? 6278567 What is 43/4 of a litre in millilitres? 10750 How many ki...
{ "pile_set_name": "DM Mathematics" }
- 1)*(c + 26)**2/9 Factor 2*x**4 + 41*x**3/2 + 7*x**2/2 - 15*x. x*(x + 1)*(x + 10)*(4*x - 3)/2 Find q, given that q**2 + 3104*q = 0. -3104, 0 Find a such that -a**3/8 + 5*a**2/8 + a/8 - 5/8 = 0. -1, 1, 5 Determine a so that -20*a**4 - 225*a**3 + 185*a**2 + 60*a = 0. -12, -1/4, 0, 1 Factor w**4/4 + 3*w**3/2 - 85*w**2/4...
{ "pile_set_name": "DM Mathematics" }
5*r = 5*w + 3 + 27. Let m be (1/3)/(4/84). Let z = m - 3. Put -2, z, r in increasing order. -2, r, z Let r = 8 + -3. Let f = -7 - 1. Let m = f + r. Put 2, -2/9, m in increasing order. m, -2/9, 2 Let v = 15 + -16. Let i = 17 - 16. Put i, -3, v in decreasing order. i, v, -3 Let w = -123 + 132. Let t be 4/(-10) + (-4)/(-...
{ "pile_set_name": "DM Mathematics" }
*(2/11)))**(14/5) assuming j is positive. j**(-1923/220) Simplify (((d**(-1/4))**(8/3)/((d/d**(-4/7))/d**(1/4)))**(-8/11))**10 assuming d is positive. d**(3340/231) Simplify ((m**(-1)*m)/(m*m**(1/17)*m))**(-20/9)/((m**(-7)/m**(8/5))/((m*m**(-2))/(m**(-5)*m))) assuming m is positive. m**(12374/765) Simplify ((p/(((p/p**...
{ "pile_set_name": "DM Mathematics" }
16. Calculate r(-12). -8 Let g(a) = a**3 + 6*a**2 + 3*a + 7. Give g(-6). -11 Let f(b) = b**2 - 4*b - 3. Determine f(-4). 29 Let f(c) = 2*c**2 + 7*c - 13. Determine f(-6). 17 Let z(o) = -10*o - 218. Calculate z(-21). -8 Let r(l) = -l**3 + 6*l**2 + 4*l + 6. Calculate r(6). 30 Let t(v) = -v + 1. Give t(-3). 4 Let h(l) = ...
{ "pile_set_name": "DM Mathematics" }
871 = 2*c - c, -2*c = -g - 11697. List the prime factors of c. 5851 Let b = -1487 + 2321. What are the prime factors of b? 2, 3, 139 Let b = -826 - -1326. Suppose -3*r - 4*j = -385, 3*r + 2*j = -r + b. List the prime factors of r. 3, 41 Suppose 4*r - k - 642 = -6*k, -3*r + 472 = -k. Suppose -4*u + r = 5*g - 0*g, -3*g +...
{ "pile_set_name": "DM Mathematics" }
0 = l - 25 - 23. What is the tens digit of l? 4 What is the hundreds digit of ((-2 - -44) + 2)/((-2)/(-14))? 3 Let h be (-1)/(1/(6 + 0)). Let w be -3 - (-44 - h/3). Suppose -3*j + 8*j = -m + w, 33 = 4*j - m. What is the units digit of j? 8 Suppose 26*x - 5405 = 3*x. What is the hundreds digit of x? 2 Let n = 16 - 9. L...
{ "pile_set_name": "DM Mathematics" }
40, -10187, -21720, -39631? -232*g**3 + 291*g**2 + 5 What is the x'th term of 5479, 9048, 12617, 16186? 3569*x + 1910 What is the y'th term of 9126, 19589, 30050, 40509, 50966, 61421, 71874? -y**2 + 10466*y - 1339 What is the m'th term of 4027, 16747, 37947, 67627, 105787, 152427? 4240*m**2 - 213 What is the t'th term ...
{ "pile_set_name": "DM Mathematics" }
th root of 37092752 to the nearest integer? 18 What is 2028387 to the power of 1/6, to the nearest integer? 11 What is the cube root of 1920829 to the nearest integer? 124 What is the square root of 189688 to the nearest integer? 436 What is the cube root of 30664673 to the nearest integer? 313 What is 8235294 to the p...
{ "pile_set_name": "DM Mathematics" }
23 What is 1000011101011111011 (base 2) in base 13? 99265 Convert 423b4 (base 16) to base 14. 70c16 Convert 99178 (base 12) to base 5. 22434122 What is 100200001022 (base 3) in base 12? 92168 682b86 (base 12) to base 7 20100243 22111111101000 (base 3) to base 2 10001001110110100100010 What is -752173 (base 10) in base ...
{ "pile_set_name": "DM Mathematics" }
/14*f**7 + 7/20*f**5 + 0 + 32/3*f**4 + 0*f**2 - 40*f + 0*f**3. What is the third derivative of i(g) wrt g? -180*g**2 + 42 Let w(s) = -s**3 - 7*s**2 - 5*s - 8. Let i be w(-7). Let p = i + -16. What is the first derivative of -11*v + 0*v**4 - v**4 + p*v - 10 wrt v? -4*v**3 Let l(w) be the first derivative of w**6/3 - 13*...
{ "pile_set_name": "DM Mathematics" }
13. 195385 Convert -8f8976 (base 16) to base 7. -142646120 Convert 11ddb (base 16) to base 10. 73179 Convert -112020022221 (base 3) to base 9. -466287 2233364 (base 7) to base 6 5535545 Convert 34510a (base 12) to base 10. 838234 Convert 7c5d65 (base 14) to base 2. 10000001011101011000101 What is -1503016 (base 7) in b...
{ "pile_set_name": "DM Mathematics" }
-572262*l - 3 What is the t'th term of -385, -1801, -4207, -7639, -12133, -17725? -6*t**3 - 459*t**2 + 3*t + 77 What is the o'th term of -421, -1585, -3429, -5875, -8845? 13*o**3 - 418*o**2 - o - 15 What is the c'th term of -14614, -29746, -45468, -61780, -78682? -295*c**2 - 14247*c - 72 What is the b'th term of -2139...
{ "pile_set_name": "DM Mathematics" }
mainder when 2664 is divided by 669. 657 What is the remainder when 7973 is divided by 1930? 253 Calculate the remainder when 261055 is divided by 7. 4 What is the remainder when 68053 is divided by 188? 185 What is the remainder when 338 is divided by 170? 168 Calculate the remainder when 32168 is divided by 10708. 44...
{ "pile_set_name": "DM Mathematics" }
? False Let o(t) = 5*t**2 + 27*t - 45. Is o(-14) a composite number? False Suppose -5 = r - 2. Let z = r - -1. Let y = z + 13. Is y a prime number? True Is (-1 - 9/(-5))/(6/165) a prime number? False Suppose 0 = 2*w - 5*g - 90 + 12, -2*g = 0. Suppose -b = -w - 14. Is b a prime number? True Let y(k) = k + 6. Let t be y(...
{ "pile_set_name": "DM Mathematics" }
e) -2 (f) 4/7 c Which is the smallest value? (a) 1460 (b) 0.5 (c) 2/5 (d) 5 (e) 101 (f) 7 c What is the biggest value in 0.1, 0.8, -3109830? 0.8 What is the second biggest value in -414, 109612, -4? -4 Which is the biggest value? (a) 0.5 (b) -0.5 (c) 170 (d) -0.3 (e) -313.75 c What is the sixth biggest valu...
{ "pile_set_name": "DM Mathematics" }
4*v**3 - 6*v**3 + 5*v**3 + 1 + (39*v**2 + 421*v - 421*v)*(3*v + 3*v - 3*v). 120*v**3 + 5*v + 1 Expand -2*m**4 - m**4 + 4*m**4 + (-33*m**3 + 4*m**4 + 33*m**3)*(4 - 3 - 3) - 4*m**4 + 4*m**4 - 3*m**4 + 3*m**4 - 4*m**4 + 3*m**4. -8*m**4 Expand (2517*n - 4875*n + 1250*n + (-6*n + 5*n - n)*(-5 + 3 + 0) + 3*n - n - n)*(-5*n**...
{ "pile_set_name": "DM Mathematics" }