text stringlengths 1.4k 8.19k | meta dict |
|---|---|
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"
} |
*2 + 2*q + 1. Let t be m(-1). Let o be -28 + t/((-6)/4). Let h = o + 28. Let r(u) = 3*u**2 + 2*u. What is r(h)?
8
Suppose -2*q = -6, 3*p + 2*q - 6*q = 87. Let g = p - 34. Let d(t) = 3*t - 1. What is d(g)?
-4
Suppose x = -4*a + 11, -a - 2*x + 8 = -0*a. Let q(u) = -13*u**2 - 19*u + 11. Let v(r) = -5*r**2 - 8*r + 5. Let n... | {
"pile_set_name": "DM Mathematics"
} |
4*o - 3 - 1 = f. Let j = n + 41. Solve 4 = -2*c + j*c for c.
2
Let a(s) = -3*s - 124. Let q be a(-42). Solve q*j - 6 = -16 for j.
-5
Suppose -9*y + 8*y + 5 = 0. Suppose u = -2*t - 1, -y*u + 1 + 1 = 3*t. Solve 4 - u = -3*h for h.
-1
Suppose 0 = -14*u + 13*u - 2, 0 = 3*a + 4*u - 13. Solve 0 = 4*z - a - 9 for z.
4
Suppos... | {
"pile_set_name": "DM Mathematics"
} |
1)/3
Suppose -4 = -n + 2. Let m = -4 + n. Factor -c**2 + 3*c**2 + m + 0*c**2 + 4*c.
2*(c + 1)**2
Let a be (-74)/45 - (0 - 2). Let o(w) be the second derivative of -8/15*w**5 - 1/18*w**4 + 0 + 1/9*w**3 - 2*w + 0*w**2 + a*w**6. Find y, given that o(y) = 0.
-1/4, 0, 1/4, 1
Factor 56/5*l**2 + 3/5*l**4 + 0 + 16/5*l + 5*l**3... | {
"pile_set_name": "DM Mathematics"
} |
)/1852)?
21
What is 1625/(-650)*1*48/(-10)?
12
((-147)/56*20/(-35))/((-3)/10)
-5
(8/(-24)*(135/(-50))/3)/(-9)
-1/30
Calculate ((-14)/(-14))/(5/(-45)).
-9
What is ((-100)/(-300))/(1/78*2)?
13
What is the value of (-3)/(21/2541*33)?
-11
Calculate (-7)/(((-14)/21)/((-204)/(-63))).
34
Calculate 161/92*-2*4/(-56)*-26.
-13/2... | {
"pile_set_name": "DM Mathematics"
} |
k
Let f(x) = x**2 - 5*x - 16. Let u be f(8). Let w(l) = -l**2 + 8*l + 3. Let i be w(u). Suppose z = -i*z - 4. Is z less than 1/7?
True
Let s = -0.002 - -0.662. Let w = s + 0.04. Are -2 and w nonequal?
True
Let b be -156 + 3 + -3 + 3. Which is smaller: b or -145?
b
Let h be (-5 - (-64)/12)*(-72)/(-1324). Are 1 and h eq... | {
"pile_set_name": "DM Mathematics"
} |
.
4
Suppose 2*n + 100 = 7*n. Let q(z) = -z**3 - 7*z**2 + 7*z - 8. Let y be q(-8). Suppose y = -7*h + 2*h + n. What is the smallest common multiple of h and 16?
16
Let g = 27 - 19. Suppose 0 + 36 = 3*o. What is the least common multiple of g and o?
24
Suppose -2*d = 3 - 15. Calculate the lowest common multiple of 10 and... | {
"pile_set_name": "DM Mathematics"
} |
27)
Simplify (x**(-13/5)/x*(x/(x**(-2)*x))/x)/(x/(x/x**(8/7))*x)**(1/9) assuming x is positive.
x**(-298/105)
Simplify ((z/(z*z*z**(-9)*z))/(z*((z/(z*((z**(-21)*z)/z)/z))/z)/z))/((z*((z*z**9)/z)/z)/((z*z**20*z)/z)) assuming z is positive.
z**(-2)
Simplify (m**3)**12*(m*(m*m**(-2/7)*m)/m)**(5/3) assuming m is positive.
... | {
"pile_set_name": "DM Mathematics"
} |
(h) = -3*h**2 + 4*h + 35. Let d(c) = -7*g(c) + 4*o(c). List the prime factors of d(a).
3, 13
Let j = -13120 - -19407. List the prime factors of j.
6287
Let m(t) = 6*t**3 - 4*t**2 - 4*t - 115. Let j(o) = -7*o**3 + 5*o**2 + 5*o + 115. Let x(s) = -5*j(s) - 6*m(s). List the prime factors of x(0).
5, 23
Suppose 18*m - 37*m ... | {
"pile_set_name": "DM Mathematics"
} |
+ 626985 + 417654 = 0. Do d and -7009 have the same value?
False
Suppose s = 2*c + 80, 4*s - c - 307 - 6 = 0. Let v = s - 1797/23. Suppose 5*o - 5*l + 40 = 0, 5*l + 64 = 99. Which is bigger: o or v?
v
Suppose 4*r - 3*r = -6265. Let q be 1000/r - (-3)/(21 + 0). Let o = q + 1632/1253. Which is greater: o or 1?
o
Let k =... | {
"pile_set_name": "DM Mathematics"
} |
((sqrt(56)/sqrt(4))/sqrt(2) + sqrt(7)))*3.
-7*sqrt(7) - 3
Simplify -3 + ((sqrt(288) - 3*sqrt(288))*1)/(sqrt(40)/((2*sqrt(120))/sqrt(12))).
-24*sqrt(2) - 3
Simplify 2*(sqrt(192) + -4*(sqrt(192) + -1)**2) + (sqrt(192) + (4*-2*sqrt(192) - sqrt(192)) + 3*sqrt(192)*-2)**2.
144*sqrt(3) + 36088
Simplify 2 + ((sqrt(250) - (sqr... | {
"pile_set_name": "DM Mathematics"
} |
/(10/25). Let x = -8.47 - -8.6. What is the nearest to 0 in p, -1/2, x?
p
Let t = 144.16 + -2.16. Let g = t - 142. Which is the closest to 4? (a) g (b) 10 (c) -0.4
a
Let h = 439 - -895. Let q be 1 + h/(-1460)*2. Let w = -2/73 - q. What is the closest to -4/5 in 3/4, w, 5?
3/4
Let q be -3 - -4 - (-25)/(-10) - 0. Let ... | {
"pile_set_name": "DM Mathematics"
} |
7, q, 0.5, 0.4 in ascending order.
0.4, 0.5, 6/7, q
Suppose 0 = -5*g - 98 - 357. Let s = g - -77. Let n be s*(-2)/(-4)*(-2)/7. Put n, -4, -6 in descending order.
n, -4, -6
Suppose 0 = 2*g + 74*h - 69*h + 7, 2*g + 6 = -4*h. Sort g, -216, 1/2, 2 in descending order.
2, 1/2, g, -216
Let o(j) = 2*j**3 + 3*j**2 + 2*j. Let k... | {
"pile_set_name": "DM Mathematics"
} |
j = h + 42, 8*h = 4*j + f*h - 163. What is the units digit of j?
7
Let n = -61 + 65. Suppose 10 = 4*k - 2*k, -k - 279 = -n*g. What is the tens digit of g?
7
Suppose 5*s = 4*h + 1589 - 483, -h - 440 = -2*s. Let g = s + -143. What is the tens digit of g?
7
Let a be (-20 + 118)/((-1)/1). Let h = a - -173. What is the ten... | {
"pile_set_name": "DM Mathematics"
} |
. Calculate q*k(t) + 6*a(t).
2*t - 1
Let h be 4/(143/65 + 2/(-10)). Let d(i) = 8*i - 6*i - i + 2*i**h - 5*i. Let c(u) = -4*u**2 + 9*u + 1. Determine 2*c(g) + 5*d(g).
2*g**2 - 2*g + 2
Let w(c) = 3*c**3 - c**2 + 4*c. Let u(o) = 4*o**3 - o**2 + 4*o. Determine -4*u(a) + 5*w(a).
-a**3 - a**2 + 4*a
Let g(d) = -15*d - 1. Let ... | {
"pile_set_name": "DM Mathematics"
} |
79, l - 2*d - x = 258. What is the highest common divisor of l and 36?
36
Let u(z) = 4*z**2 - 46*z - 578. Let l be u(-8). Calculate the greatest common divisor of l and 134.
2
Suppose 12*u = -397 - 23. Let l(h) = -3*h**2 - 103*h + 74. Let g be l(u). Let s(z) = -2*z + 2. Let b be s(-4). Calculate the greatest common fac... | {
"pile_set_name": "DM Mathematics"
} |
108494738.
2*(s - 513)**2*(s - 349)**2
Determine y, given that -2*y**2/5 - 7638*y - 686772/5 = 0.
-19077, -18
Factor 2*k**3/9 - 225854*k**2/9 + 2125455530*k/3 - 708460082.
2*(k - 56463)**2*(k - 1)/9
Factor -18*i**3 - 100704*i**2 - 67130*i - 11188.
-2*(i + 5594)*(3*i + 1)**2
Suppose 4*c**4/7 - 26540*c**3 + 2157230904*c*... | {
"pile_set_name": "DM Mathematics"
} |
/(a/a**1)*a)**(-3/8)*((a**0)**(-10))**(-24/7) assuming a is positive.
a**(29/8)
Simplify ((d*d*d**(2/23)*d*d*d**(-4)*d)/(d**(-2/49)/(d*d*d/(d/d**(-16))*d)))**36 assuming d is positive.
d**(-481680/1127)
Simplify ((m*m*m**1)**(3/10)/(m**4/(m*((m**(-1/5)/m)/m)/m)))/(m**(-3/10)*m**(-1/3))**(-28) assuming m is positive.
m*... | {
"pile_set_name": "DM Mathematics"
} |
u be ((-105)/60)/((-1)/(-4)). Let n(d) = 2*d - 11*d**3 + 3*d - 7*d**2 + 2*d. What is u*z(o) - 3*n(o)?
-2*o**3
Let c(n) = -3*n**3 - 2*n - 4. Let q(f) be the third derivative of 0*f - 1/4*f**4 - 11/6*f**3 + f**2 - 1/15*f**6 + 0 + 0*f**5. What is 11*c(y) - 4*q(y)?
-y**3 + 2*y
Let w(j) = 11*j**2 + 8*j + 2. Suppose 35 = 2*... | {
"pile_set_name": "DM Mathematics"
} |
What is (-4 - 3)/7*4/(-22)?
2/11
What is ((-8)/(-9))/((-12)/(-54))?
4
What is the value of (-8)/(224/(-70))*(-36)/(-15)?
6
Evaluate (3/(-3))/(-4) - 35/20.
-3/2
(3/(-5))/((-36)/40)
2/3
What is the value of (-118)/15 + 44/(-330)?
-8
3*-1 + (-8 + 4 - -3)
-4
What is (-12)/36*(-24)/(-56)?
-1/7
What is the value of -29 - -27... | {
"pile_set_name": "DM Mathematics"
} |
*sqrt(77))/sqrt(7))*5)**2.
-200*sqrt(11) + 4425
Simplify (1*sqrt(132)*-5 - 4*(sqrt(132) + 2*sqrt(132)))/(sqrt(84)/(sqrt(700)*-1)) + -2.
-2 + 170*sqrt(11)
Simplify (sqrt(176) + -1 + 2 - -5*(-1*sqrt(176) - sqrt(176)))**2 + -5*((sqrt(77)*2 + sqrt(77))/sqrt(7))**2*4.
-72*sqrt(11) + 12277
Simplify (1*sqrt(68)*2 + sqrt(68) +... | {
"pile_set_name": "DM Mathematics"
} |
remainder when 25 is divided by o?
12
Let m(g) = -3. Let x(b) = b + 7. Let l(p) = 7*m(p) + 3*x(p). Let w be l(-1). Calculate the remainder when 25 is divided by (-38)/w + 3/9.
12
Suppose 0 = -0*p + 2*p - 6. Let l be ((-2)/p)/(3/54). Calculate the remainder when (-2)/(-3) - 88/l is divided by 3.
2
Let f = -11 + 13. Supp... | {
"pile_set_name": "DM Mathematics"
} |
/l))/(l**(1/6))**40 assuming l is positive.
l**(-29/3)
Simplify (r**(-1/10)/((((r**(-1/4)*r)/r)/r)/r))/(r/(r**(2/5)/r))**(-8) assuming r is positive.
r**(299/20)
Simplify q*q/(q*q*q*(q*q**2)/q*q)*q*q**(2/21) assuming q is positive.
q**(-61/21)
Simplify ((j**(-4)/j)/(j*j**10*j))**(-28) assuming j is positive.
j**476
Sim... | {
"pile_set_name": "DM Mathematics"
} |
1 a factor of (47 - 53) + j + 892?
False
Let k = -219 + 212. Is (-6 - -6)/k + 50 even?
True
Let c = -20719 - -23129. Is 5 a factor of c?
True
Suppose 43 = z - 2. Suppose -4*n - w + 404 = 0, -n - z = 2*w - 139. Suppose c - 2*c = -n. Is c a multiple of 16?
False
Suppose -7*p + 12*p = -2630. Let g = 814 + p. Does 48 divid... | {
"pile_set_name": "DM Mathematics"
} |
for r.
-2
Let r be (-2)/(-4) + 15/10. Let l be (4 - (-9)/(-3))*r. Solve -z + 0*z - l = 0 for z.
-2
Let o(h) be the first derivative of 3*h**2/2 - 12*h - 8. Let p be o(5). Let y(x) = 2*x**2 + 3*x + 3. Let n be y(-3). Solve -6*r + p*r - n = 0 for r.
-4
Let d = 34 - 30. Solve 6 + 14 = -d*o for o.
-5
Let k = -1 + 3. Solve ... | {
"pile_set_name": "DM Mathematics"
} |
(k) = -2*k. Let z(p) = -31323*p. What is z(n(u))?
62646*u
Let g(c) = 7*c**2. Let m(k) = 19*k. Calculate m(g(h)).
133*h**2
Let v be (-26)/(-7) - 6/(-21). Let o be (2 + (0 - 2))/((-1)/1). Let h(g) = -4 + o*g + g + v. Let x(k) = -k**2. Determine h(x(i)).
-i**2
Let s(l) = -l. Let m(o) be the second derivative of 31*o**4/12... | {
"pile_set_name": "DM Mathematics"
} |
*2.
10*sqrt(7)/3 + 252
Simplify (-1*sqrt(324) - sqrt(288)/sqrt(128))/(5*(sqrt(12) + sqrt(60)/sqrt(5)*1 - -3*sqrt(60)/sqrt(5))).
-13*sqrt(3)/100
Simplify 3*3*(-4 + 5*(-4 + sqrt(605)*2 + sqrt(605) + sqrt(605) + sqrt(605))**2 + 0)*-6.
-4087854 + 118800*sqrt(5)
Simplify (3*sqrt(133)*2)/(sqrt(567) - (sqrt(567) + (sqrt(567) ... | {
"pile_set_name": "DM Mathematics"
} |
= -12 + 15. Suppose 5*g = -4*v + d, 3*g - 6*g = -2*v + 7. Solve 4*x - v = y - 0*y, -5*y + 5*x = -5 for y.
2
Let j be ((-1)/2)/(1/(-6)). Let u = j + -1. Let p be (1460/(-300) + 5)*(1 - 6)*-9. Solve -5 = u*k + b, 4*b + p = -3*k - 4 for k.
-2
Suppose -w + 27 = 3*n + 12, -4*n - 4*w + 12 = 0. Solve b - 2 = 0, -z + n = -4*b... | {
"pile_set_name": "DM Mathematics"
} |
tors of 65 + (-3 - b)*v?
2, 17
Let r = -6 + 12. Let j = -3 - r. List the prime factors of ((-4)/3)/1*j.
2, 3
Let i(k) = -k**3 - 6*k**2 + k + 9. Suppose -6*l = -6 + 42. What are the prime factors of i(l)?
3
Suppose 0*j - 5*j + 6795 = -4*x, 2*x - 1373 = -j. List the prime factors of j.
29, 47
Let f = 154 + -88. Let u be ... | {
"pile_set_name": "DM Mathematics"
} |
5*n + 4. Let r be a(5). What is the highest common factor of 44 and r?
4
Suppose 2*a + 440 = 6*a. Let p = -15 - -25. What is the greatest common factor of a and p?
10
Suppose 0 = 3*f + 11 - 2. Let s be 14/(-1)*9/(-6). Let k = s + f. Calculate the highest common factor of k and 27.
9
Let g(x) = -3*x - 2. Let n be g(-3).... | {
"pile_set_name": "DM Mathematics"
} |
e (-91)/(-2)*134/469.
13
What is (1/(-6))/(-15*20/5400)?
3
Evaluate (3 - 0) + (49/7 - -1).
11
Calculate 99/(-17) + 13/(26/(-6)) + 9.
3/17
Calculate 5 + (-6)/(-2) + -10.
-2
What is the value of ((-1602)/(-27412))/((-6)/(-28))?
3/11
-65 - (462 + -42)/(-15)
-37
2/(6/(-7) + (-2592)/(-3402))
-21
Calculate -10 - 136/((34160/... | {
"pile_set_name": "DM Mathematics"
} |
Simplify (sqrt(288) + (-3 + sqrt(288))**2)*-3.
-891 + 180*sqrt(2)
Simplify 6*(3 + sqrt(19)) + ((sqrt(171)*3)**2 - sqrt(171)).
3*sqrt(19) + 1557
Simplify 1*(-1 + 3*sqrt(176))**2.
-24*sqrt(11) + 1585
Simplify sqrt(26)/sqrt(50)*2.
2*sqrt(13)/5
Simplify (-2*(0 + sqrt(252)))**2.
1008
Simplify (sqrt(304) + 5 - sqrt(190)/sqrt... | {
"pile_set_name": "DM Mathematics"
} |
*r**2 - 9. Calculate the remainder when a(5) is divided by 19.
15
Suppose 4 = 5*j - p, -2*j + 4 = j - p. Suppose j = -y + o + 51, -3*y + 2*y + 63 = 2*o. What is the remainder when y is divided by 19?
17
Suppose -z - w + 3*w + 8 = 0, -5*z + 5*w = -15. Let p be (-5)/2*(z + 0). Suppose p*t - 38 = 3*t. Calculate the remain... | {
"pile_set_name": "DM Mathematics"
} |
c**(3/5)*c**(-3/25) assuming c is positive.
c**(12/25)
Simplify p**(-5)*p**(2/11) assuming p is positive.
p**(-53/11)
Simplify (n/n**(-2))**(2/15)/(n*n*n**(-1))**(-12/11) assuming n is positive.
n**(82/55)
Simplify (y**(2/19))**1 assuming y is positive.
y**(2/19)
Simplify d**(2/3)*d/d**5*d*d*(d/(d/((d*d**1/d)/d)*d*d))... | {
"pile_set_name": "DM Mathematics"
} |
, 4*s = -3*g - 3. Suppose -s*x - 7 = -7. Let u = -3.07 - 0.93. What is the nearest to 2/7 in x, u, 16?
x
Let q be (-26)/4 + 6/(12/5). What is the closest to 1.1 in -1, 12, 0, q?
0
Let q = 875.338 + -870. Let x = -0.908 + q. Let y = 0.43 - x. Which is the closest to 0.2? (a) 3 (b) 1 (c) y
b
Let x = -13.2 + 13. Suppos... | {
"pile_set_name": "DM Mathematics"
} |
5, l + 4*a = 3602. Does 199 divide l?
True
Let u(n) = -7*n + 7. Let k(w) = -15*w + 13. Let h(t) = -4*k(t) + 9*u(t). Let q be h(6). Is 22 a factor of (21/9)/q*-66?
True
Suppose -14*h + 26212 = -10*h. Is h a multiple of 110?
False
Let y(z) = 7*z**2 - 100*z - 559. Is y(-7) a multiple of 95?
False
Suppose -19*x = 68*x + 51... | {
"pile_set_name": "DM Mathematics"
} |
fy -3 + sqrt(13) + (1 + sqrt(13)*-2 + sqrt(13))**2 + (sqrt(208) + -1 + 3)**2.
15*sqrt(13) + 223
Simplify (4*(sqrt(88) - (sqrt(88) - -2*sqrt(88))) - sqrt(88))/(sqrt(8) - sqrt(512)*-4).
-3*sqrt(11)/11
Simplify -4*(sqrt(3) + ((sqrt(3) - (sqrt(6)/sqrt(50))**2) + sqrt(3) - sqrt(3))) - (sqrt(54)/sqrt(2)*-2)/sqrt(9).
-6*sqrt(... | {
"pile_set_name": "DM Mathematics"
} |
0.
-1, 0, 1
Let m be 69/2*4/3. Let y be (-4)/14 + m/14. Factor y*o + 4*o**2 - 6*o**2 - o.
-2*o*(o - 1)
Let x be (4/7)/((-52)/28 - -2). Factor -2/9*b + 0 + 2/9*b**3 - 2/9*b**x + 2/9*b**2.
-2*b*(b - 1)**2*(b + 1)/9
Let h(f) be the second derivative of 0*f**2 + 1/36*f**4 - 4*f + 0*f**3 + 0. Factor h(g).
g**2/3
Suppose 2 =... | {
"pile_set_name": "DM Mathematics"
} |
positive.
r**(-169/7)
Simplify (k**(-17)/(k*(k/(k/(k*k**(-2/19))))/k*k*k))/(k/(k**(-9)/k)*k)**(1/16) assuming k is positive.
k**(-1569/76)
Simplify o*o**(-20)*o**(-21)*o**(-29)*o**(-30) assuming o is positive.
o**(-99)
Simplify (l**(3/4))**(-2)*(l*l*l**(-2))**(-9) assuming l is positive.
l**(-3/2)
Simplify ((v**(2/5)/v... | {
"pile_set_name": "DM Mathematics"
} |
-452 + 694. Is z a multiple of 11?
True
Suppose -2117 = -12*i - 665. Does 29 divide i?
False
Let l(q) = 17*q + 7. Let t(j) = 2*j - 8. Let r(s) = s - 1. Let d(x) = 12*r(x) - 2*t(x). Let n(i) = -7*d(i) + 3*l(i). Is n(-5) a multiple of 10?
False
Let t(b) = -74*b - 1040. Is 7 a factor of t(-15)?
True
Does 20 divide ((-28)... | {
"pile_set_name": "DM Mathematics"
} |
n - 1. Let a be d(v). What are the prime factors of 19 - (a + (-3)/(-3))?
3, 7
Let c(w) = -4*w**2 - 3*w + 12. Let h(z) = -9*z**2 - 5*z + 25. Let x(d) = 7*c(d) - 4*h(d). List the prime factors of x(-5).
3, 7
Let n(q) = q**2 + q + 6. Let s be n(13). Suppose -5*j = -4*j + 5*o - 88, -2*j = 4*o - s. List the prime factors o... | {
"pile_set_name": "DM Mathematics"
} |
Let z(o) = o**2 + 7*o + 6. Let q be z(-5). Let g = -11 - -11. Put q, g, -3 in descending order.
g, -3, q
Let c = 8 + -7.8. Let d = 1090.2 - 1091. Sort c, d, 0 in increasing order.
d, 0, c
Let s(x) = -x**3 + 8*x**2 - x + 6. Let h be s(8). Let k be (-9)/3 + (2 - h). Sort -5, -4, k in increasing order.
-5, -4, k
Let l = 0... | {
"pile_set_name": "DM Mathematics"
} |
o 12 and i have different values?
True
Suppose 7*r - 3 = -10. Let c = 565 + -2813/5. Let g = 7/3 - c. Which is smaller: r or g?
r
Let y = -4.14 + 4.04. Let u = -113 + -31. Is y greater than u?
True
Suppose -4*n - 8 = 4*w - 0*n, 5*n + 17 = 2*w. Suppose 0 = -2*i + 2*k + 3358, 0 = -28*i + 27*i + 5*k + 1691. Let v = i + -7... | {
"pile_set_name": "DM Mathematics"
} |
r a.
-5
Suppose -s = 4*g + 15 + 26, -4*s - 20 = 0. Let b = g + 12. Solve b = -2*l + 5*l for l.
1
Let o(j) = -2*j**3 - j**2 + 2*j - 1. Let f = 3 - 2. Let d be o(f). Let u be (-9)/d + (-1)/2. Solve -u*y = -2*y + 10 for y.
-5
Suppose 33*s - 36*s = 0. Solve s*y + 4 = -2*y for y.
-2
Suppose 2 = 4*p - 3*p. Solve -2 - 2 = -p*... | {
"pile_set_name": "DM Mathematics"
} |
**3 - o**p wrt o?
-60*o**2
Suppose 4*p - 8 = -4*k, 5*k - 2*p + 2 + 2 = 0. Let x(v) = v**3 + v**2 + v + 6. Let w be x(k). What is the third derivative of 3 + 3 + 4*n**4 - w + n**2 wrt n?
96*n
Let h be ((-3)/(-9))/(4*1/4). Let u(m) be the third derivative of 0 + 0*m - 1/24*m**4 + 2*m**2 - h*m**3. What is the first deriva... | {
"pile_set_name": "DM Mathematics"
} |
Calculate the remainder when c is divided by n.
1
Suppose 505*h - 509*h = 3*x - 771, 956 = 5*h - 4*x. Calculate the remainder when h is divided by 61.
9
Calculate the remainder when 140 is divided by 3/(4 + 235/(-60)).
32
Suppose 68 = 10*i - 7*i - 4*y, y - 11 = -i. What is the remainder when 59 is divided by i?
11
Supp... | {
"pile_set_name": "DM Mathematics"
} |
*sqrt(19)
Simplify (2 + sqrt(468))*5 + sqrt(468) + (5 + (sqrt(468) + 0)**2 - sqrt(468)).
30*sqrt(13) + 483
Simplify (2*sqrt(245)*-1)**2 + (-2 + sqrt(5) + 0)*5.
5*sqrt(5) + 970
Simplify 6*6*(sqrt(27))**2 + -2.
970
Simplify 5*(((-2*sqrt(132))/sqrt(12))**2 - sqrt(11)).
-5*sqrt(11) + 220
Simplify sqrt(54)/sqrt(2) + sqrt(3)... | {
"pile_set_name": "DM Mathematics"
} |
- 2*w**5/15 + w**2 + 5. Let f(g) be the second derivative of o(g). Factor f(s).
2*s**2*(s - 2)**2*(s - 1)
Suppose -4 = -j + 1. Suppose 2*g**4 - j*g**4 + 2*g**2 - 2*g + 2*g**3 + g**4 = 0. What is g?
-1, 0, 1
Suppose 0 = r - 2*z + 2, r + r + 16 = z. Let y be r/28*24/(-30). Factor -2/7*c**3 + y*c + 0 + 2/7*c**2 - 2/7*c**4... | {
"pile_set_name": "DM Mathematics"
} |
) + sqrt(152))*1)/(sqrt(8) - sqrt(64)/(sqrt(24)/sqrt(3) + sqrt(8) + sqrt(8))).
3*sqrt(19)/2
Simplify -4 + sqrt(1331)*-2.
-22*sqrt(11) - 4
Simplify ((sqrt(7) - (sqrt(7) + -1)) + -4)*2.
-6
Simplify 1*sqrt(13)*1 + (sqrt(65)*1)/sqrt(5).
2*sqrt(13)
Simplify ((-2 + sqrt(304))*-4)**2.
-256*sqrt(19) + 4928
Simplify (sqrt(330)/... | {
"pile_set_name": "DM Mathematics"
} |
composite?
False
Suppose 0 = t + 5, -j + 3*t - 4*t = -726. Is j prime?
False
Suppose -5*b + 31 = 1. Let o = 20 - b. Suppose o = a - 23. Is a a prime number?
True
Let h be (-1)/5 - 63/(-15). Suppose -4*q + 54 = 4*p - 178, 5*q - 235 = -h*p. Is p a composite number?
True
Let w(m) = -m**2 - 7*m + 10. Let u be w(-8). Let j... | {
"pile_set_name": "DM Mathematics"
} |
. What is the highest common factor of 1242 and o?
23
Let k(j) = -3*j + 40. Let d be k(11). Suppose -d*w + 134 = -377. Calculate the greatest common factor of 146 and w.
73
Let x = -8288 + 14904. What is the greatest common divisor of x and 8?
8
Let f = -25054 - -25103. What is the greatest common divisor of f and 2989... | {
"pile_set_name": "DM Mathematics"
} |
igit of x?
9
Suppose 8*x = 5*x + 30. Let v = -9 + x. What is the units digit of (2 - 1)*v - -1?
2
Suppose -2*x - 2*z = -0*x - 2452, 3*z = x - 1246. What is the tens digit of x?
3
Let x = 1 - 0. Suppose -38 = -6*v - 56. What is the units digit of (v + 2)*(-23)/x?
3
Suppose 2*u + 3*l - 2318 = 0, 4*u + 34*l = 33*l + 4636.... | {
"pile_set_name": "DM Mathematics"
} |
-5 + 22*sqrt(5)/27
Simplify 3 + (((sqrt(150) + sqrt(150)*-2)*-6)/(-6*sqrt(40)/sqrt(4)))/(5*((1*sqrt(240) + sqrt(240) - sqrt(240))/sqrt(4))/sqrt(12)).
-sqrt(3)/5 + 3
Simplify -6*(3 + -2 + (sqrt(55) - sqrt(220)/sqrt(4))/sqrt(11) + sqrt(45) + sqrt(135)/sqrt(3)*6 + sqrt(45)).
-144*sqrt(5) - 6
Simplify (3*-3*(sqrt(72) - -1... | {
"pile_set_name": "DM Mathematics"
} |
composite?
False
Let d(o) = -14*o**2 - 5*o + 22. Let x(b) = 29*b**2 + 10*b - 43. Let i(h) = -13*d(h) - 6*x(h). Is i(-13) composite?
False
Suppose -5 = -j, 2*h = h + 5*j + 164. Suppose 18 = 4*i - 2*b, i - 4*i - 5*b = 19. Suppose i*g - h = -23. Is g prime?
True
Suppose -16*w = -17*w, a - 2833 = -2*w. Is a a prime number... | {
"pile_set_name": "DM Mathematics"
} |
f x(f)?
7
Let w(f) = 7*f + f - 3 - 6*f. What is the units digit of w(3)?
3
Let a = 0 + 0. What is the units digit of (3 - -9)*(2 + a)?
4
Suppose -h = -5*p - 20, 3*p - 1 + 5 = -h. Let i be 4*(h/2)/(-5). What is the units digit of (-6)/(i - (-12)/9)?
9
Let m(c) = c**3 - 5*c**2 - 3. Let v be m(5). What is the units digit ... | {
"pile_set_name": "DM Mathematics"
} |
, k, q
Let q = 45/14 + -43/14. Put -1/18, q, 0.3 in decreasing order.
0.3, q, -1/18
Let q = -637.7 - -638. Sort 0.1, -3, q, -9.
-9, -3, 0.1, q
Let w be -7 - 64/(-8) - -6. Put -3.4, w, -1/3 in descending order.
w, -1/3, -3.4
Let f = -107 + -43. Let k = 150 + f. Suppose -2*s - p = 3, -5*s - 4*p - 5 = -2. Put s, 3, k in d... | {
"pile_set_name": "DM Mathematics"
} |
/(sqrt(90)/(sqrt(10) + 2*sqrt(30)/sqrt(3))).
39*sqrt(17)
Simplify (4*3*sqrt(612) - (sqrt(612) + 2 + -3))**2*-4.
-296212 - 528*sqrt(17)
Simplify -4*5*((sqrt(171) + -3*(1*sqrt(171) + sqrt(171)))/sqrt(9) + 5)**2*-2.
-2000*sqrt(19) + 20000
Simplify 2*3*sqrt(34)/(sqrt(2) + sqrt(10)/sqrt(5))*-4*-2.
24*sqrt(17)
Simplify ((sqr... | {
"pile_set_name": "DM Mathematics"
} |
se -3*z = 17*z - 3*z. Suppose 0 = 2*h - z*h, h = -4*r. Solve r = 2*v - 2*y, v - 4*y = -v - 2 for v.
1
Let v be 0 - 0 - (1 - 11). Suppose 4*l - 1074 = -1122. Let n be 25/(-10)*1*l/v. Solve n = 3*z - 3*p, z + 2*z = -4*p + 24 for z.
4
Suppose -l + 31 = 160*t - 164*t, 4*l + 4*t = -16. Solve -13*d + 6 = -10*d, 0 = l*u - 5*d... | {
"pile_set_name": "DM Mathematics"
} |
hat is the third smallest value in k, b, -2/13?
k
Let h = 180.1 + -180. Let p be (-3)/12*16/(-12). Let y = -0.2 - -0.4. Which is the third biggest value? (a) y (b) p (c) h
c
Let d = 29 + -6. Let h = -18 + d. Let v = 0.32 + -0.02. Which is the second smallest value? (a) h (b) 10 (c) v
a
Let i(r) = 2*r + 12. Let h(... | {
"pile_set_name": "DM Mathematics"
} |
j + 45/2*j**b - 75/4*j**3 + 0.
-3*j*(5*j - 3)**2/4
Let a(x) be the second derivative of -x**5/4 - 25*x**4/3 + 5*x**3/6 + 50*x**2 + 115*x. What is u in a(u) = 0?
-20, -1, 1
Let c = 41 + -19. Suppose -4*t + c = 2*h, 12 + 7 = h + 4*t. Factor 2/3*y**h + 10/9*y**2 + 0 + 4/9*y.
2*y*(y + 1)*(3*y + 2)/9
Let u(t) = t**4 + 63*t*... | {
"pile_set_name": "DM Mathematics"
} |
ppose -5*w - 4*p = -2*w - 130, 0 = -4*w - 5*p + 174. Is 13 a factor of w?
False
Let d = 19 - -93. Does 28 divide d?
True
Let c(w) = w**2 + 11*w + 1. Let j be c(-8). Let o be (-4)/(-8) - j/(-2). Let n = 20 + o. Is n a multiple of 9?
True
Let g = -49 + 133. Let u = g - 39. Suppose 5*y - u = -0*y. Is 8 a factor of y?
Fals... | {
"pile_set_name": "DM Mathematics"
} |
(-656)/24)*1/8. Let a = -2/3311 - -122579/119196. Let n = -7/9 + a. What is the closest to n in 0.5, h, -1?
0.5
Let d = -0.3 - -0.29. Let g be (10/(-25))/((-871)/335). Let y = 0 - -0.3. What is the nearest to 3 in y, g, d?
y
Let i = 0.23171 - -0.06829. What is the nearest to 0.3 in i, -0.3, 43, -0.1?
i
Let a = -945 - -... | {
"pile_set_name": "DM Mathematics"
} |
-144 + 146. Find z, given that -15*z**2 + 17*z**k - 4*z - z**4 + 1 + 4*z**3 - 5*z**2 + 3 = 0.
-1, 1, 2
Let z = 143 - 141. Let s be z/(-13) - 3*(-20)/390. Solve 3/4*g + s + 9/4*g**3 - 3*g**2 = 0 for g.
0, 1/3, 1
Let n(h) = -10*h**2 - 315*h + 325. Let x = 280 - 283. Let k(j) = -5*j**2 - 157*j + 162. Let b(d) = x*n(d) + 5... | {
"pile_set_name": "DM Mathematics"
} |
69.1. Let j = u + -68.97. Which is the smallest value? (a) -2 (b) -3 (c) 2 (d) j
b
Let f = 37 - 35. Let a = -1.6 + f. What is the biggest value in a, -0.2, -2/3?
a
Let x = 878.7 + -879. Let y = -0.3 + 0.1. Which is the third smallest value? (a) x (b) 4 (c) y
b
Let l = -0.102 - -0.602. What is the third smallest ... | {
"pile_set_name": "DM Mathematics"
} |
*l + 18 = 0. Suppose -d - l = 2*q - 3*q, 3*q - d = 14. Suppose 3*p + q*i + 82 = 6*p, -4*i + 8 = 0. What are the prime factors of p?
2, 3, 5
Let y = 227 + -162. What are the prime factors of y?
5, 13
What are the prime factors of (3/1)/((-282)/(-151058))?
1607
Suppose 0 = 4*k + c - 3526, k + c - 872 = -4*c. List the pri... | {
"pile_set_name": "DM Mathematics"
} |
6)/4*(0 - 2)*1. Suppose 3*w = 2*b + b - 12, -d*b + 27 = 2*w. What is the remainder when 17 is divided by b?
3
Suppose 0 = 29*d + 28343 - 99741. What is the remainder when d is divided by 112?
110
Let y(g) = -g**3 - 7*g**2 + 17*g - 3. Calculate the remainder when 137/5 + (-4)/10 is divided by y(-9).
3
Suppose -2*f + 7*f... | {
"pile_set_name": "DM Mathematics"
} |
ose -y = -r - 4*r. Suppose 4*h = -2*k + 1 + r, 5*h - 15 = 0. What is the highest common factor of 12 and k?
4
Let p = 18 + -16. Calculate the greatest common factor of p and 4.
2
Suppose 20 = -0*m + 4*m - 4*d, -2*m = 5*d - 38. Suppose -4*r + 106 = 5*b, 3*b - r + 94 = 8*b. Calculate the greatest common factor of m and b... | {
"pile_set_name": "DM Mathematics"
} |
the thousands digit of m(-13)?
3
Let f = -17 - -17. Suppose -3*y + 144 - 57 = f. What is the units digit of y?
9
Let c(r) = r**3 + 8*r**2 + 11*r + 15. Let d be c(-6). What is the tens digit of 8*d*(-4)/(-24)?
2
Let a be 4/(-22) + (-24)/(-11) - 11. Let i = a - -105. What is the tens digit of i?
9
Suppose -47 = -3*d - 2.... | {
"pile_set_name": "DM Mathematics"
} |
plify 2 + -4 + (5 + sqrt(320) - (sqrt(5) + 2*sqrt(40)/sqrt(8)) - (-2 + 2 + 1 + sqrt(5) + ((sqrt(220)/sqrt(4))/sqrt(11))**2)).
-3 + 4*sqrt(5)
Simplify (5*(2*sqrt(76)*1 + 5*sqrt(76)*2))/(((sqrt(264)*-2)/sqrt(6))/(sqrt(176)*-5)).
600*sqrt(19)
Simplify -1 + (0 + -1 + sqrt(147))**2 + -1 + -5 + -6*(sqrt(147)*-1)**2 + 3.
-738... | {
"pile_set_name": "DM Mathematics"
} |
ded by v?
12
Let q be 2 - ((-3)/(-2))/((-3)/6). Suppose -2*m + q*o = 3 + 1, -5*m + 20 = -5*o. What is the remainder when 54 is divided by m?
6
Let h(n) = 2*n + 76. Let a(q) = -3*q - 153. Let g(k) = -3*a(k) - 5*h(k). Calculate the remainder when g(13) is divided by 34.
32
Let k(d) = -d**3 + 6*d**2 + 8*d + 8. Let q = 139... | {
"pile_set_name": "DM Mathematics"
} |
(389/30)
Simplify (w**(-11)/(((w/w**(-18))/w)/w))/(w/(w/(w/(w*w*w**5))))**(5/7) assuming w is positive.
w**(-166/7)
Simplify (h**(-14))**(-11)*(h*h**(-4/11)/h)**(-6) assuming h is positive.
h**(1718/11)
Simplify ((z**(-2/5)/z)**(-3/4)/(((z*z*z*z*z**0*z)/z)/z)**(-46))**4 assuming z is positive.
z**(2781/5)
Simplify ((a*... | {
"pile_set_name": "DM Mathematics"
} |
e of v(p). What is the third derivative of n(b) wrt b?
96*b
Let s(a) = 12*a**2 - 2*a + 1. Let j be s(1). What is the second derivative of b - j - 10*b**2 + 11 wrt b?
-20
Let r be 436/(-6)*(-15)/10. What is the third derivative of -r*i**2 + 5*i**5 + i**5 + 114*i**2 wrt i?
360*i**2
Let f(q) = q**3 - 4*q**2 + q + 3. Let g... | {
"pile_set_name": "DM Mathematics"
} |
*(-48)
Simplify (k**3/k*k/k**(-2/9))**30/((k*k/(k/(k**(1/7)*k)*k)*k**(1/3))/(k**(-1/4))**(-23)) assuming k is positive.
k**(8479/84)
Simplify (((c**19*c/(c**(-1/30)*c))**(-1/13))**(2/3))**(-8) assuming c is positive.
c**(4568/585)
Simplify (h**(-9/2)/(h/((h**(2/15)*h)/h*h*h))*(h/(h/(h*h**(-2/7))*h))**(-4/21))**26 assum... | {
"pile_set_name": "DM Mathematics"
} |
(-5 + 0 + sqrt(396))**2).
-183*sqrt(11) + 1281
Simplify -3 + (sqrt(49)/(sqrt(14)/sqrt(2)))**2 + (sqrt(42) + (sqrt(42) - sqrt(504)/(sqrt(192) + sqrt(12) - sqrt(12))))/sqrt(6).
4 + 7*sqrt(7)/4
Simplify 1*(4 + -3*1*(-2 + sqrt(171)) + -5).
-9*sqrt(19) + 5
Simplify ((sqrt(320) + sqrt(320) + -1 + sqrt(320) + 2 - sqrt(320) -... | {
"pile_set_name": "DM Mathematics"
} |
15
Let t = -1 + 5/4. Let u be 84/(-12) + (-1 - -9) - (-9)/(-12). Factor -u*x - t*x**2 + 0.
-x*(x + 1)/4
Let j = -94739/4368 + 282/13. Let d(f) be the third derivative of -5*f**2 + 0*f**4 - 1/105*f**7 + 0 + 0*f**3 + 0*f**5 + j*f**8 + 0*f + 1/120*f**6. Factor d(p).
p**3*(p - 1)**2
Suppose -74*s - 3 = -75*s. Let -4*y - 4*... | {
"pile_set_name": "DM Mathematics"
} |
n 7 is divided by s.
3
Suppose 0 = -5*j + 2*j + 39. Calculate the remainder when 258 is divided by j.
11
Let o(t) = t**3 - 7*t**2 + 4. Suppose -x - 4*a + 15 + 4 = 0, 0 = -5*x - 3*a + 44. Calculate the remainder when 15 is divided by o(x).
3
Let m be ((-32)/20)/(2/35). Let z be (4/8)/(2/m). What is the remainder when 47... | {
"pile_set_name": "DM Mathematics"
} |
ose -58*g - 13 = -45*g. What is the closest to 5 in b, 4, g?
4
Let t = -1.5 + 1.2. Let y = 13.74 - 14. Let m = -2.26 - y. Which is the closest to -0.4? (a) m (b) -5 (c) t
c
Let p = -0.037 + -0.063. Which is the nearest to 0? (a) -4 (b) 14 (c) p
c
Let o be 2 - -2 - (-2)/(-1 - 1). Let q = 4798447/145 + -33093. Let ... | {
"pile_set_name": "DM Mathematics"
} |
/7) assuming q is positive.
q**(-1644/287)
Simplify ((g**14*g*g**(-6/5))**(10/7))**42 assuming g is positive.
g**828
Simplify (s**(-17)/s*s**0)/(((s/s**16)/s)/s)**32 assuming s is positive.
s**526
Simplify (c*(c/c**(-7))/c*c)**(-2/3)*c**(-1/4)*c**(-2) assuming c is positive.
c**(-33/4)
Simplify ((d/(d*d**(-9/5)))/(d**9... | {
"pile_set_name": "DM Mathematics"
} |
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