text stringlengths 1.4k 8.19k | meta dict |
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2/(x/2). Suppose -5*r + 4*h + 43 = -187, -h + q = 0. Is 35 a factor of r?
False
Let r be ((-32)/(-20))/(2/5). Suppose -4*a = 3*m + 33, 0 = 3*a - r*a - 3*m - 6. Is 2/(-1)*a/1 a multiple of 16?
False
Suppose 4*b + 3*k = 8019, -392*b + 3*k - 4011 = -394*b. Is 12 a factor of b?
True
Suppose -5*g = -4*z + 117, g - 6*g - 3*z... | {
"pile_set_name": "DM Mathematics"
} |
. List the prime factors of i.
3, 37
Let l be (12/(-10))/(3/50). Let q = 85 + l. What are the prime factors of q?
5, 13
Let y(o) = -12*o - 47. Let r(d) = -12*d - 46. Let x(b) = 3*r(b) - 2*y(b). List the prime factors of x(-14).
2, 31
Let r be ((-6)/(-33) + (-120)/176)*22. What are the prime factors of ((-44)/(-8))/r + ... | {
"pile_set_name": "DM Mathematics"
} |
).
7
Let o(g) be the third derivative of -g**4/12 + g**3/2 + 20*g**2. Suppose -b - 2*b - 2 = 5*y, y - 18 = 4*b. Determine o(y).
-1
Let l(f) = -f**3 + 2*f**2 + 2*f - 3. Let j be 2/(-1)*(-3)/2. Let o be l(j). Let c(r) = -r + 4. Let m(q) = -2*q + 5. Let g(u) = o*c(u) + 5*m(u). Determine g(1).
-3
Let w(r) = 6*r**2 + r - 1.... | {
"pile_set_name": "DM Mathematics"
} |
/(-6)*2*9/132
-2/11
(3/3)/(43/(-172))
-4
What is (-3)/1*-1*1?
3
Evaluate (-3)/((60/(-16))/5).
4
Calculate ((-14)/(-35))/(3/3*2).
1/5
Evaluate (-1)/(((-112)/21)/(-8)).
-3/2
Evaluate ((-8)/(-40))/(-1*1).
-1/5
Evaluate ((-6)/(-1))/(2/(-4)*-4).
3
Calculate (1*5/(-1))/(-1).
5
(385/10)/(-11)*24/(-14)
6
What is the value of (... | {
"pile_set_name": "DM Mathematics"
} |
7 divide v?
False
Let u be (-22)/(-187) - (-925)/85. Does 27 divide (u/(-33))/(3/9)*-262?
False
Let a = -4883 + 6676. Is 45 a factor of a?
False
Let b be (-2)/((-4)/12*3). Suppose r + r - b = 0. Is 3 a factor of 2/(r - (-5)/(-15))?
True
Let a(u) = 4*u + 22. Let o be a(0). Is 9 a factor of 2*5/20*o*15?
False
Let i = -97... | {
"pile_set_name": "DM Mathematics"
} |
+ -306. What is the closest to 0.1 in 5, w, 0.2?
0.2
Let x = 0.568 + 0.242. Let r = x + -1.11. What is the closest to -2 in 13, r, -4?
r
Let s = 86 + -85.652. Let n = -0.1172 + 0.0692. Let g = n + s. What is the nearest to 1 in -2, -0.3, g?
g
Let m = -11.7 - -14.7. Let g = 24.9 - 24.6. Let j be (-6)/9 + (1 - 0). Which ... | {
"pile_set_name": "DM Mathematics"
} |
**2 - sqrt(242)))*6 + 0.
99*sqrt(2) + 4616
Simplify (-4 + (3 + 2*sqrt(1584) + 3 + (2*sqrt(1584) - sqrt(1584)))*1*-1)**2.
720*sqrt(11) + 14356
Simplify 4 + (((5*sqrt(190)*-1 + sqrt(190) + -4*(-1*sqrt(190) + sqrt(190)))*4)/(((sqrt(30)*-4)/sqrt(3) - sqrt(10)) + sqrt(30)/(sqrt(3)*4)))**2.
4172/19
Simplify 6*(sqrt(2156) + 4... | {
"pile_set_name": "DM Mathematics"
} |
*((c*c**(5/4)*c)/(c*c**(-12)/c))**(-11) assuming c is positive.
c**(-7577/28)
Simplify (v/v**0)**(-1/6)/(v**(-1/4))**(34/5)*v*(v/((v**(1/5)*v*v*v)/v))/v*v*(v/(v/(v**(2/13)/v)))/v*v**(-8)/((v*v**6*v)/v*v*v*v) assuming v is positive.
v**(-722/39)
Simplify ((z*z*z**(-2/7))**(-28))**(-5/2)*(z**0)**39*(z/(z/((z/(z*z**(-3/2)... | {
"pile_set_name": "DM Mathematics"
} |
at is the derivative of n(o) wrt o?
-2007
What is the third derivative of 854*p**2 - 5 + 8 - 1319*p**4 - 920*p**2 wrt p?
-31656*p
Let q be (2/15*6)/((-22)/(-715)). What is the second derivative of -q*o**2 - 91*o**3 + 26*o + 2 + 186*o**3 - 98*o**3 wrt o?
-18*o - 52
Find the second derivative of -833*h + 176*h - 267*h + ... | {
"pile_set_name": "DM Mathematics"
} |
sqrt(153)/(sqrt(45)/sqrt(5)))**2).
3
Simplify -2*-5*(4 + (sqrt(300) + 5)**2).
1000*sqrt(3) + 3290
Simplify 2*((4*sqrt(3))**2 + -4 + sqrt(108)*-3).
-36*sqrt(3) + 88
Simplify 4 + (-2 + 6*(sqrt(1872) - (sqrt(1872) + -2 + sqrt(1872))))**2.
-1440*sqrt(13) + 67496
Simplify (((sqrt(352)*2 + sqrt(352))/sqrt(8))/sqrt(144) + 0)*... | {
"pile_set_name": "DM Mathematics"
} |
Simplify (((z**9/z)/z**(-17))**(4/5))**21 assuming z is positive.
z**420
Simplify (a*(a*a**8)/a*a**(1/9))/(((a*(a**(-11)*a)/a*a)/a)/a**5) assuming a is positive.
a**(217/9)
Simplify (u/(u/(u/((u/(u/(u*u/(u*u*u**(-2)*u))))/u))*u))**(-4)/((u**11*u)/u**(2/23)) assuming u is positive.
u**(-274/23)
Simplify ((z*z**(-18)/z)... | {
"pile_set_name": "DM Mathematics"
} |
at is the common denominator of -67/458 and 1 - (-20 + (-28)/7)?
458
Suppose -s = -2*n + 35 - 255, -2*s + 447 = 3*n. What is the least common multiple of 14 and s?
1554
Suppose o + 5*g = -0*g + 22, 5*o = -2*g + 18. Suppose 0 = -0*i - i + o. Find the common denominator of 31/10 and i/(-9) + 3028/(-144).
20
Calculate the... | {
"pile_set_name": "DM Mathematics"
} |
235. Let u = 138 - q. Solve -10 + u = k for k.
-3
Let r be (399/14 + -6)*(-72)/(-60). Solve 78 = -r*u + 14*u for u.
-6
Let c(f) = 12*f + 4. Suppose 3*a + a = 52. Let r be a/(-26) + 6/4. Let v be c(r). Solve 0*g = -4*g - v for g.
-4
Let m(j) = -j**3 + 17*j**2 + 4*j - 24. Let x be m(17). Suppose -9*b - 2*b + x = 0. Solv... | {
"pile_set_name": "DM Mathematics"
} |
is the value of 2375/1900*(-6)/(-5)?
3/2
What is (((-180)/5)/(-18))/((-4)/(-16))?
8
Evaluate (12/(924/(-143)))/(2/(-14)).
13
153/187*(-4)/18
-2/11
Calculate ((-588)/(-882))/(4/2)*9.
3
(15/20)/((-13)/(468/45))
-3/5
What is the value of 420/(-280)*(-168)/(-18)?
-14
Evaluate ((-282)/(-188))/((-2)/(-8)).
6
Evaluate 18/(-9... | {
"pile_set_name": "DM Mathematics"
} |
iple of 2 and c(-8).
16
What is the lowest common multiple of 22 and (60/9)/((-2)/(-6))?
220
Let r = -25/51 + -299/153. Suppose 4*f - 76 = o, 2*f - 2*o = -3*f + 92. What is the common denominator of r and 7 + -4 - (-28)/f?
45
Let v(y) = -3*y**2 + 2*y**2 + 3*y + 4 + 0*y. Let u be v(4). Suppose 2*r = -2, -3*n + u*n + 25 ... | {
"pile_set_name": "DM Mathematics"
} |
5. Let b be (-105)/(-10)*6/k. Let y be (-3)/1 + (-196)/b. Solve -y = 4*u + 3*v, -2*v + 5*v = -2*u - 17 for u.
-4
Suppose 8 = t + t. Suppose 9*g - 5*g = 0. Let z be g/5*-1 - -2. Solve d + o = -0 - 1, z*d - o - t = 0 for d.
1
Let v(r) = 2*r + 7. Let o be v(-5). Let y be (-1)/(o + 10/4). Suppose -2*n = y*m + 2, 2*n - m = ... | {
"pile_set_name": "DM Mathematics"
} |
is the tens digit of a?
3
Suppose a = -a + 480. Suppose 2*x - 41 = 9. Suppose -4*y + 310 = 2*h, 5*h + a + x = 3*y. What is the tens digit of y?
8
What is the tens digit of (17/5)/((-6)/(-30180))?
0
Let h(v) = -v**3 + v**2 + 2*v + 486. Let p be h(0). Suppose 3*u - 21 - p = 0. What is the units digit of u?
9
Let a(i) = -... | {
"pile_set_name": "DM Mathematics"
} |
ve of 0*k**3 + 0 - 2*k + 1/126*k**7 + 0*k**2 - 1/30*k**6 + 0*k**5 + 1/9*k**4. Factor y(x).
x**2*(x - 2)**2*(x + 1)/3
Let y(k) be the first derivative of -k**5/25 + k**4/20 + 3. Determine f, given that y(f) = 0.
0, 1
Factor 9/5*y**4 + 9/5*y**3 + 0*y + 3/5*y**5 + 0 + 3/5*y**2.
3*y**2*(y + 1)**3/5
Let j(v) = -v**2 - v + 1... | {
"pile_set_name": "DM Mathematics"
} |
c - w - 16. Suppose 4*k - 15 = 3*q, -4*q - c = k - 3*k. Solve k*j - 7 = 2 for j.
3
Suppose y - 6*y = 0. Suppose -3*a + 164 = 4*b, y*b - 232 = -4*a - 2*b. Let h = a - 56. Solve -h*q - 2 - 6 = 0 for q.
-2
Let w = -37 + 42. Suppose 0*l - l + 11 = 3*g, -21 = -2*l - w*g. Let x be 15/((-12)/l + 3). Solve b - x = -b for b.
5... | {
"pile_set_name": "DM Mathematics"
} |
4/5) assuming d is positive.
d**(288/115)
Simplify (c**6*(c/(c**(3/4)*c*c*c))/c*(c**5/c)/(c**(2/13)/c))**(-5) assuming c is positive.
c**(-1845/52)
Simplify (o/o**(-3/2))**15/((o**(3/2)*o)/((o/o**6)/o)) assuming o is positive.
o**29
Simplify ((s**(3/8)*s/(s**(1/7)/s))**(2/27))**(-26/5) assuming s is positive.
s**(-325/... | {
"pile_set_name": "DM Mathematics"
} |
- 60. What is the units digit of 9/u + 8/5?
1
Suppose 0 = -3*z - 5*z + 112. Let k(a) = -6*a + 30. Let b be k(z). Let w = b - -113. What is the units digit of w?
9
Suppose 13*r + 32 = 17*r. What is the units digit of (-2)/(16/(-2650)) + (-10)/r?
0
Let n(l) = -l**3 + 7*l**2 + 25*l - 55. Let j be n(9). Suppose -3287 - 346... | {
"pile_set_name": "DM Mathematics"
} |
+ 1/(38 + -43).
-17
Calculate (-18 + 3718/195)*((-9)/6 + 3).
8/5
(-18)/27*(-3)/(-16)*-2
1/4
What is the value of (4/(-3))/(148/1776)?
-16
What is the value of (-15)/(-13) + 20/(-130) - (-354)/590?
8/5
(5 + 4)/1035*(-75 + 77)
2/115
Calculate -34 + 40 - (-86)/(-16).
5/8
What is (-7 - 36)*-1 - (10 - -5)?
28
9216/4224 - (-... | {
"pile_set_name": "DM Mathematics"
} |
= 4*x - 1. Let l(u) = -6*d(u) - 2*g(u). Let o(z) = -8*z + 8. Let c(h) = 9*l(h) - 2*o(h). Differentiate c(n) wrt n.
-2
Find the third derivative of 76 + 20*x**3 + 17*x**2 - 76 wrt x.
120
Let c(w) be the second derivative of -5*w**4/12 - w**3 + 5*w. Find the second derivative of c(u) wrt u.
-10
Let m be (5/4)/((-2)/(-8)... | {
"pile_set_name": "DM Mathematics"
} |
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