text stringlengths 1.4k 8.19k | meta dict |
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f - 1. Let b be k(-3). Suppose 0 = b*s + d - 31, -4*s + s + 46 = 2*d. Calculate the lowest common multiple of 16 and s.
16
Suppose 0 = 3*y - 27 + 87. Let o = -14 - y. What is the least common multiple of 4 and o?
12
Suppose 3*s - s + 108 = 0. Let n = -47213/10 - -4725. Find the common denominator of n and (285/s)/1 + 1... | {
"pile_set_name": "DM Mathematics"
} |
Let p = 1465.2 - 1465. Let w be ((-4)/(-16))/(1/8). Suppose 5*j = -22 + w. Which is the smallest value? (a) j (b) p (c) -6
c
Let w = -0.33 - -19.33. Let o = w - 19.3. Suppose 5*d - 11 = -4*f + 14, 3*f = -2*d + 10. What is the second smallest value in 0, d, o?
0
Let r = -47419/42 - -1129. Let n = 27 - 23. Which is th... | {
"pile_set_name": "DM Mathematics"
} |
0 = -8*u + 11596 - 3324. Suppose -618 = 3*d - 2*t, 4*t + u = -5*d + 6*t. Let b = -18 - d. Does 19 divide b?
True
Let c(s) = -2*s**3 + 6*s**2 + 3*s + 5. Let a be c(4). Let q(p) = -24*p - 50. Does 31 divide q(a)?
True
Let r be (-1 - -5) + (-6 - (5 - 372)). Suppose -8*m + 10*m - 3*a - 141 = 0, 5*m + 5*a - r = 0. Is m a m... | {
"pile_set_name": "DM Mathematics"
} |
g order.
r, -2/9, a
Let z be -2 - (0 - -1)/(3/(-12)). Put 5, z, -1, -25 in increasing order.
-25, -1, z, 5
Let i = -271/7 + 39. Put -3, i, -4 in descending order.
i, -3, -4
Let d = 9 + 3. Let a be 2/6 - 19/d. Let s = 63.8 - 61.8. Put a, 0, s in decreasing order.
s, 0, a
Let w = 2 - 7. Sort w, -6.6, -0.1, -0.4 in decrea... | {
"pile_set_name": "DM Mathematics"
} |
e 25 = 5*l, 0 = -3*t + m*t - 3*l + 23. Is t a multiple of 3?
False
Suppose -1 - 16 = -x. Does 5 divide x?
False
Let s be ((-52)/6)/(4/(-60)). Let a = s - 79. Does 17 divide a?
True
Let p(t) = 96*t - 28. Is 13 a factor of p(3)?
True
Suppose -4*x - x + 147 = 2*a, 3*a + 84 = 3*x. Is 12 a factor of x?
False
Suppose -7 = 5*... | {
"pile_set_name": "DM Mathematics"
} |
a(12) a multiple of 10?
True
Does 13 divide (-6)/(-432)*-12 + 50894/12?
False
Let g = 457 + 107. Suppose -l + 0*l = -g. Suppose 0 = 6*d - 366 - l. Is 31 a factor of d?
True
Let z = 356 + -361. Let w(v) = -4*v**3 - v**2 - 15*v - 56. Is w(z) a multiple of 12?
False
Suppose 0 = -4*z + g + 9981, 3*g = 2*z - 3275 - 1728. Do... | {
"pile_set_name": "DM Mathematics"
} |
is bigger: i or 0?
0
Let u(k) = 4*k. Let q be u(-2). Let l = q + 12. Suppose d + 33 - 8 = 4*n, -l*d - 3*n = 5. Do -5 and d have the same value?
True
Let x = -0.8 + 1. Let n = 4 - 18. Let z = -16 - n. Which is smaller: x or z?
z
Suppose 0 = -9*w + 16 + 164. Which is smaller: 21 or w?
w
Let v = -70 - -50. Let z be 4/(8/... | {
"pile_set_name": "DM Mathematics"
} |
*4/12 - q**3 + 2*q**2 - 7*q. Let d be o(6). Solve 5*k = -x + 2, d*k - 5*k = -v*x - 16 for k.
1
Let u be -5 + (-12)/(-10)*360/16. Solve f + 8 - u = 3*o, 0 = -4*o - f - 14 for o.
-4
Let l be ((-10)/(-35))/((-3)/(-21)). Suppose 15 = l*v - 7*v. Let z be 2 + 3 + 6 + v. Solve -3*a = -7*a + 2*g - z, a - 7 = 5*g for a.
-3
Let ... | {
"pile_set_name": "DM Mathematics"
} |
7*d**2 + 10*d**4 + 234/7*d**3 - 2/7*d**5 = 0.
-3, -2, 1, 38
Let j(p) = p**2 + 3*p - 61. Let n be j(-10). Suppose 0 = 3*k + 7*u - 4*u - 12, n = 2*k + 3*u. Let 0 + 0*g + g**2 - 3/2*g**k = 0. What is g?
0, 2/3
Let s be 7690/(-3076)*44/(-10). Suppose 29/3*p**2 - s*p**3 - 3 - 40/3*p**4 + 17/3*p - 4/3*p**5 = 0. What is p?
-9... | {
"pile_set_name": "DM Mathematics"
} |
se z = 5*q + 15, -5*q = l - 1 - 1. What is the units digit of l?
7
Suppose 0 = -156*i + 102*i + 262386. What is the units digit of i?
9
Let g be ((-272)/32)/(1/22). Let d = g + 331. What is the units digit of d?
4
Suppose -l + 2*z = -300, 3 = -3*z - 0. Let x = 466 - l. What is the tens digit of x?
6
Let w(a) = -a**3 + ... | {
"pile_set_name": "DM Mathematics"
} |
. Let g be u(5). Let v be (-4)/g + (-7602)/(-63). Suppose -25*i - v = -30*i. What is the units digit of i?
4
Let s(z) = 108*z + 72. What is the tens digit of s(5)?
1
Suppose -3*p + 2*p = -2*h - 2, 3*h - 3*p = 0. What is the units digit of (14/35)/(h/(-180))?
6
Suppose -2*l + 4 = 4*r - 4, -4*l = r - 16. Suppose r = -3*p... | {
"pile_set_name": "DM Mathematics"
} |
= 2*y - 5*b, 15 = y - 3*b. List the prime factors of 1*(-2 - y) - -30.
2, 7
Suppose 5*x - 238 = 3*b + 239, 4 = 4*b. Suppose x = n + 2*n. Let i = n - 18. What are the prime factors of i?
2, 7
Let c be (1/3)/(1/12). Let g be 2/c*10*8. Suppose 4*o - g = -0*o. What are the prime factors of o?
2, 5
Let f = -64 - -81. What ... | {
"pile_set_name": "DM Mathematics"
} |
digit of m?
2
Let j(g) = g + 1. Let x be j(-7). Let a = -3 - x. What is the units digit of a?
3
What is the units digit of (24/9 + -3)*-45?
5
Let b(l) = 13*l - 10. What is the tens digit of b(3)?
2
Let h be -9 + (-1 - 0) + 3. Let p(l) = l + 9. What is the units digit of p(h)?
2
What is the tens digit of (1 + -4)/((-30... | {
"pile_set_name": "DM Mathematics"
} |
*4
Let k(m) = -4*m. Let z(d) = -107*d + 24*d + 326*d. Determine z(k(s)).
-972*s
Let n(y) = -39959*y**2. Let q(b) = -b**2. Give q(n(m)).
-1596721681*m**4
Let j(n) = -n**2 - n + 12. Let w be j(3). Let i(v) be the third derivative of w + 0*v - 1/30*v**5 - v**2 + 0*v**3 + 0*v**4. Let q(d) = -2*d. What is i(q(b))?
-8*b**2
L... | {
"pile_set_name": "DM Mathematics"
} |
= 4*g - 35200, 21*g + 5*n + 8800 = 22*g. Is g a multiple of 100?
True
Let s = -78 + 122. Suppose 0 = -a - 3*r + 4, 3*a = a + 3*r + s. Is a a multiple of 3?
False
Let s be -50*(168/30 - 5). Let z be 114/4*(-4)/3. Let n = s - z. Is 8 a factor of n?
True
Suppose 0 = 9*o - 13*o + 60. Let h be 4*(o/2 + 3). Suppose 3*m - h =... | {
"pile_set_name": "DM Mathematics"
} |
59/(-58795)?
50
((-62)/(-5859)*-21)/(-4*(-4)/(-32))
4/9
Evaluate (54/(-4068))/(189/(-42))*-1*2.
-2/339
Calculate ((33/77)/(115/18515))/3.
23
((-375)/(-350))/(-6*(-3)/252)
15
What is -4*(4*(-10)/((-240)/(-261)))/(-6)?
-29
Evaluate (1/637*14)/((2/210)/((-121)/(-363))).
10/13
Evaluate (-110)/60*50/(-275)*(-10)/1.
-10/3
Wh... | {
"pile_set_name": "DM Mathematics"
} |
968567.30438. Let u = d + -6521402751. Let x = 29 + u. Round x to seven dps.
-0.0000004
Let z = 34 - 31. Suppose 0*q - 321000 = z*q. Round q to the nearest ten thousand.
-110000
Let a = 646 + -643.824. Round a to one dp.
2.2
Let j = 3364 - 3363.999997669. Round j to seven dps.
0.0000023
Let o be (-5)/(-4)*12/3. Suppose... | {
"pile_set_name": "DM Mathematics"
} |
-3*q + 2*q + o = -5*l. List the prime factors of q.
2, 3, 31
Suppose v + 3*z = 62, -v + z + 50 = -0*v. Suppose 534 = 2*a - 2*m, -4*m - v = -a + 199. Let f = a + -158. List the prime factors of f.
2, 3, 19
Let t be (-89)/(-1*(-1)/(-2)). Let m(q) = 34*q + 1051. Let w be m(-34). Let j = t + w. What are the prime factors o... | {
"pile_set_name": "DM Mathematics"
} |
2 - -1. Sort m, v, c in decreasing order.
c, m, v
Let y = 28.56 + -28. Let n be (-3)/((-59)/236 - (-4 + (-12)/(-4))). Put 0.5, 3/5, n, y in increasing order.
n, 0.5, y, 3/5
Suppose -2 + 5 = -3*g. Let b = 5.001 - 4.001. Put b, -1/3, -1.1, g in descending order.
b, -1/3, g, -1.1
Let q = 5/7533 - 23399/1205280. Put q, -1,... | {
"pile_set_name": "DM Mathematics"
} |
+ 867*s - 1170 = 0 for s.
-39, -3, 1, 10
Suppose y**3/3 + 250076*y**2/3 + 250075*y/3 = 0. What is y?
-250075, -1, 0
Factor 2*s**2 + 4802*s + 156288.
2*(s + 33)*(s + 2368)
Factor -2*o**3/9 - 2282*o**2/9 - 654350*o/9 - 647522/3.
-2*(o + 3)*(o + 569)**2/9
Suppose -4*i**4 + 2468*i**3 + 4984*i**2 - 19808*i = 0. What is i?
... | {
"pile_set_name": "DM Mathematics"
} |
0003
Suppose 0 = -5*r - d + 8, -3*r + 5*d = 2*r - 20. Let j = -8 + 8. Suppose j*f = -r*f + 1200000. What is f rounded to the nearest 100000?
600000
Let o(y) = -5*y - 27. Let w be o(-6). Let l be ((-25994)/2 - w)*(-1 - 0). Round l to the nearest one thousand.
13000
Let m = -0.05500033 + 0.055. What is m rounded to seven... | {
"pile_set_name": "DM Mathematics"
} |
(-14)) and g.
180
Let t be ((-4)/(-2))/(-8) - 1431/(-108). Let m = 29 - t. Calculate the lowest common multiple of (-2)/(-1*2/22) and m.
176
Let m(x) = 2*x + 36. Let z be m(-26). What is the lowest common multiple of 9 and 0*(-4)/z + 4?
36
Calculate the least common multiple of 10554 and 2*2/38 - 8*(-151)/76.
84432
Let... | {
"pile_set_name": "DM Mathematics"
} |
third smallest value in f, i, g?
f
Let u = 6 + -5. Let i be (4 + -3)*u/(-2). Let h = -221/14 + 31/2. Which is the smallest value? (a) i (b) -3/5 (c) h
b
Let c be 236/(-4)*(-1)/(-280). Let p = c - 3/40. Let f = -0.6 - -0.3. What is the second smallest value in f, p, -0.2?
p
Let v = 14 + -10. Which is the smallest val... | {
"pile_set_name": "DM Mathematics"
} |
nearest to d? (a) -4/3 (b) h (c) -0.4
c
Let o be (3 - 1)/(4 + -2). Let z(u) = u**3 - 2*u**2 - u - 2. Let k be z(3). Let n be 4/(-190)*(-9 + k). Which is the nearest to 0.1? (a) o (b) -3 (c) n
c
Let q be ((-1)/(-2))/(6/(-12)). Let k = 159/52 - 30/13. What is the nearest to q in k, -2/23, 3?
-2/23
Let o(t) = t**3 +... | {
"pile_set_name": "DM Mathematics"
} |
3 - 26*f**2 - f + 32. Let p be j(26). Solve -3*z - 17 = 4*x, 3*x + 2*z - 6*z - p = 0 for x.
-2
Let a = 2 - 5. Let z be 21 + -3 + a + 2. Let l be ((-2)/(-4) + 0)*(z + -9). Solve l*f = -2*n - 10, n + 0*n = -5*f - 5 for n.
-5
Suppose -2652 = 4*v - 4*a, 0 = 2*v - 0*v - a + 1323. Let g be v/24*(-8)/(-5). Let u = -41 - g. So... | {
"pile_set_name": "DM Mathematics"
} |
-2227. Solve -h + 0*m - m = n, -m = -h for h.
-2
Suppose -2*y + 0 = m - 8, 5*y = -4*m + 20. Suppose 0 = 3*k - m - 12. Solve 5*j - 28 = k*u - 2, 3*j + 2*u = -2 for j.
2
Let f(s) = s**3 - 18*s**2 + 18*s - 18. Let h be f(17). Let r(c) = -5*c**3 - 3*c**2 - 4*c - 2. Let m be r(h). Solve -4*t - d + 2 = 0, 2*d - 5*d = m*t + ... | {
"pile_set_name": "DM Mathematics"
} |
+ (-6)/21.
5/6
What is 6/28*(69/(-90) + (-48)/(-480))?
-1/7
What is (-6)/(-4) + ((-129)/24)/((-1)/4)?
23
What is ((-2000)/4500)/(2/(-45))?
10
What is 6912/9216*(-208)/6?
-26
(99/44*50 + -11)/((-56)/(-16))
29
Calculate 1*(-170)/45 + 4 - 780/108.
-7
Evaluate (10 - (-2 - -3))*(11 + -38 + 26).
-9
What is the value of 700/... | {
"pile_set_name": "DM Mathematics"
} |
Let p(g) = 1. Let q(j) = -2*j**2 + 2*j - 7. Suppose 0 = -0*c - 4*c + 8. Suppose 7*i - c*i - 30 = 0. Calculate i*p(r) + q(r).
-2*r**2 + 2*r - 1
Let j(n) = 8*n**3 + 3*n**2 - 3*n + 1. Let u(g) = -9*g**3 - 4*g**2 + 4*g - 2. Determine 4*j(q) + 3*u(q).
5*q**3 - 2
Let t(y) = -8*y. Let j be ((-2)/3)/(4/6). Let k(f) = 7*f - 9. ... | {
"pile_set_name": "DM Mathematics"
} |
s -12*c(h) + w(h)?
-2*h**2 + 4*h - 2
Let o(l) = l**3 + l**2 - 1. Let c(j) = 3*j**3 + 16*j**2 - 3*j - 1. Let g(x) = -4*x**3 - 36*x**2 + 7*x + 1. Let b(y) = 14*c(y) + 6*g(y). Give 3*b(k) - 24*o(k).
30*k**3
Let l(o) = 4*o + 2. Let t(k) = 28*k + 28. What is 4*l(x) - t(x)?
-12*x - 20
Let u be (-12)/(-30)*(5 - 8 - 2). Let l(... | {
"pile_set_name": "DM Mathematics"
} |
**(-2340)
Simplify g**(-8)/g**(-2/53)*g/g**34*g**(-3/14) assuming g is positive.
g**(-30553/742)
Simplify v*v/v**(-3/20)*v*v*v*v**(2/15)*v**(-3/5)*v**(-9) assuming v is positive.
v**(-259/60)
Simplify (r/r**(-9))/r*r**(-8)/r*(r/(r**9/r))**(-45) assuming r is positive.
r**315
Simplify ((w**(-9/8)/w)/(w**(-7/5)*w))/(w*w*... | {
"pile_set_name": "DM Mathematics"
} |
f t**5/30 + t**4/6 - t**3 - 11*t**2 + 3. Let r be d(6). Suppose -p = 5*p - r. Solve 6*h = h + p for h.
3
Suppose -44*j + 179 = -43*j. Let p = j + -175. Solve 7*g - 5*g = p for g.
2
Let a(l) be the third derivative of -37*l**6/120 + l**5/30 - 5*l**4/24 + l**3/2 + 31*l**2. Let b be a(1). Let n = -35 - b. Solve -2*p - 6 =... | {
"pile_set_name": "DM Mathematics"
} |
65 = 33. Suppose -296 = -g*q + 5*v, -v = 2*q + 11 - 283. Does 69 divide q?
True
Let l be 20/3 + 4*4/(-24). Suppose 0 = u + l*u. Suppose u = -2*i + n + 39, 0*n - 39 = -3*i - 5*n. Is i a multiple of 6?
True
Let m = -5 - -8. Suppose 107*n - 114*n = -21. Suppose 0 = -n*d - 12, -m*y + 2*d = -d - 84. Is 22 a factor of y?
Fal... | {
"pile_set_name": "DM Mathematics"
} |
3)/u + (-12)/6. What is the biggest value in n, m, 2/5?
n
Let q = 0.01 + 1.99. Let u(h) = h**3 + 6*h**2 + 5*h - 1. Let w be u(-5). Let l = -15.6 - -16. Which is the second smallest value? (a) q (b) w (c) l
c
Let h = -304 - -904/3. What is the third smallest value in h, 1, 0.4?
1
Let a = -0.29 + 5.29. What is the thi... | {
"pile_set_name": "DM Mathematics"
} |
5)**(-2/15)*(p/(p*p**(-4/7)))**(-2/7) assuming p is positive.
p**(-122/147)
Simplify (s**6)**(6/13)*(s*s**(1/12)*s*s)**(-29/5) assuming s is positive.
s**(-11789/780)
Simplify ((k**(1/11)*k)/(k/((k/(k*k**(-3)))/k*k)*k))/((k/(k*k/(k/k**(-7)))*k)/(k/k**(3/16))) assuming k is positive.
k**(-897/176)
Simplify ((d*d*d**(-9/... | {
"pile_set_name": "DM Mathematics"
} |
/10)
Simplify (n**2/n**2)/(n**(-3/8)/((n*n/(n*(n/((n*n/(n**(3/8)/n))/n*n))/n*n)*n*n)/n))*(n**(-6)*n*n/(n**(-1/4)*n))**(-49) assuming n is positive.
n**(947/4)
Simplify (c**(-1/16)*c)/c*c**11*c**(1/4)/c**17 assuming c is positive.
c**(-93/16)
Simplify ((b**(1/4))**(-1/57)/(b**(-12)/b*b*b*b*b**(-2/35)))**(-1/12) assuming... | {
"pile_set_name": "DM Mathematics"
} |
11. Let r = 32 + x. Let a be 2 - (144/(-15))/(-4). What is the nearest to 1/3 in r, a, 2/19?
2/19
Let n = -4/57 + 199/399. Let m = 4/21 - 2/35. Which is the closest to 0? (a) -1/3 (b) m (c) n
b
Let f be (-2)/((-8)/18) - (0 - -4). Let n be 2*4/((-128)/(-6)). Let d = -77 + 691/9. Which is the nearest to f? (a) d (b... | {
"pile_set_name": "DM Mathematics"
} |
2 + -5. Let m(x) = -1890 + 1890 - 2*x. What is the units digit of m(h)?
4
Suppose -3*t - 12 + 3 = 3*u, 4*u + 2*t + 8 = 0. Let j = 1 - u. Suppose -d = j*d - 27. What is the units digit of d?
9
Suppose 0 = -n - 1 + 15. What is the units digit of n?
4
Suppose 4*v - 2*v + 4 = 0. What is the units digit of (0/(-3))/v + 3?
3... | {
"pile_set_name": "DM Mathematics"
} |
**4/2 - 2752*s**3/3 - 11857*s. Find the second derivative of a(l) wrt l.
-12*l**2 - 12*l + 756
Let b(i) be the second derivative of 2081*i**4/6 + 3113*i**3/2 - 11221*i. What is the second derivative of b(v) wrt v?
8324
Let w(q) = q**3 - 2*q**2. Let x(d) = 236*d**4 - 3*d**3 + 6*d**2 + d + 1201. Let b(m) = 3*w(m) + x(m).... | {
"pile_set_name": "DM Mathematics"
} |
a = 28 + -25. Suppose -d + 3*d + 4*f - 84 = 0, a*f + 112 = 2*d. What is the tens digit of d?
5
Let s = 4 + 4. Suppose -2*n - 2*n + s = 0. Suppose -j = -n*k - 49, -3*j - 2*k + 179 = -0*j. What is the tens digit of j?
5
Let t = -984 + 984. Let z be (-192)/(-14) + (-4)/(-14). Suppose t = -18*j + z*j + 28. What is the uni... | {
"pile_set_name": "DM Mathematics"
} |
*u for u.
-2
Let x = -96 + 101. Suppose -x*l + 9*l = 60. Suppose 5*y - 21 = -b, -y + 0*b - l = 5*b. Solve -y*o = -3*o + 2 for o.
-1
Let j be (-59)/(-3) + (-22)/6. Solve 42*w = j*w for w.
0
Let r(q) = 2*q**3 + 16*q**2 + 23*q + 24. Let b be r(-6). Solve 58*a + 86 = -b for a.
-2
Let b(g) = -g**3 - 6*g**2 + 73*g + 21. Let ... | {
"pile_set_name": "DM Mathematics"
} |
et j be 6/8 - (-507)/c. Let p = j + -38. Solve -6 = -p*a + 3*a for a.
3
Let o(a) = -3*a**3 + 16*a**2 - 17*a + 1. Let w(r) = 7*r**3 - 31*r**2 + 34*r - 1. Let u(f) = 5*o(f) + 2*w(f). Let d be u(17). Solve s = d*s for s.
0
Suppose g - 2*j - 8 = -0, -2*j = 4*g - 12. Let k be ((-8)/32)/((-3)/36). Suppose 2*p + 2*f - k*f = 2... | {
"pile_set_name": "DM Mathematics"
} |
= 3*l - 4*m - m, -3*m - 6 = 0. Suppose -2*s - 2*u - 292 = 2*u, 0 = 4*s + 2*u + 590. Let d be 103/s - (-27)/36. Is l smaller than d?
False
Let m(f) be the third derivative of -f**6/120 + 2*f**5/5 + 9*f**3 - 19*f**2. Let x be m(24). Which is smaller: 55 or x?
x
Let i be (-3*(-6)/(-18))/1*7. Let h = 25 + -17. Let k = 1 - ... | {
"pile_set_name": "DM Mathematics"
} |
order.
p, -4, -1
Suppose 20 = -4*u - 0*u. Let a be 6*1/(-50)*u. Sort a, 0.1, -2 in decreasing order.
a, 0.1, -2
Let g = -0.09 - -9.09. Let q = -8.6 + g. Let m be ((-2)/3)/(4/6). Put q, 5, m in decreasing order.
5, q, m
Suppose 4*x + 1 = 17. Let o = -13 - -9. Put o, 2, x in ascending order.
o, 2, x
Let v = 0.1 + -0.1. ... | {
"pile_set_name": "DM Mathematics"
} |
7)
Simplify 6*-1*(sqrt(76)/sqrt(4) + sqrt(19)) + sqrt(76)/(sqrt(64) - sqrt(4)) + sqrt(190)/(sqrt(30)/sqrt(3)).
-32*sqrt(19)/3
Simplify (0 + (-6*1*sqrt(242) - 6*sqrt(242)*1))**2.
34848
Simplify (sqrt(96) + sqrt(96) + sqrt(96) + -1*(sqrt(96)*-2 - sqrt(96)))/(6*(sqrt(2) + sqrt(18))).
sqrt(3)
Simplify -6*(4*-2*sqrt(1617))/... | {
"pile_set_name": "DM Mathematics"
} |
rt n, o, 10.
o, n, 10
Let q = 0 + -25. Let w be (-21)/5 - 5/q. Let b be 2/6*171/57. Put w, -5, 4, b in descending order.
4, b, w, -5
Let j be 5 - (-1 - -9)*102/(-24) - -6. Put -1, j, 0, 5, -2 in increasing order.
-2, -1, 0, 5, j
Suppose 6*l + 74459 = 74429. Sort -1/4, l, -1/2, -0.6, 3 in decreasing order.
3, -1/4, -1/2... | {
"pile_set_name": "DM Mathematics"
} |
der.
-4, j, f
Let i(y) = 2*y + 13. Let g(p) = -2*p - 19. Let o be g(-7). Let n be i(o). Let r be (14/(-6) + 1)*-3. Put r, 1, n in decreasing order.
r, n, 1
Let p(i) = -2*i**2 - 60*i + 62. Let m be p(-31). Sort -2, -5, 22, m in increasing order.
-5, -2, m, 22
Let o = -5.7 + -75.3. Let m = 83 + o. Let p be 1*(28/2)/(-2).... | {
"pile_set_name": "DM Mathematics"
} |
vided by j.
32
Let m(w) = -8*w + 2. Let j(t) = -59*t - 4. Let h be j(-1). Calculate the remainder when m(-2) is divided by (42/4)/(-4 + h/10).
4
Let k(o) = o**2 - o - 17. Let v = -432 + 437. What is the remainder when 87 is divided by k(v)?
0
Suppose -1499 - 767 = -11*i. Let u = i - 199. What is the remainder when 77 i... | {
"pile_set_name": "DM Mathematics"
} |
2 + l. Let g(z) = 3*p(z) + u(z). Let r = -2559 + 2563. What is the units digit of g(r)?
3
Let m(k) = -1042*k - 1. Let b be m(-1). Suppose -1110 = -3*r + b. What is the tens digit of r?
1
Let s be (78/(-5))/(6/(-15)). Suppose 28675 = s*k - 2*k. What is the tens digit of k?
7
Let g(s) be the first derivative of -s**2/2 -... | {
"pile_set_name": "DM Mathematics"
} |
e c?
True
Let s(h) = -h**2 + 8*h - 1. Does 15 divide s(4)?
True
Let k = 9 - -47. Is k a multiple of 19?
False
Suppose o + 36 = 5*o. Let b = o - 4. Suppose b*h = 73 + 2. Is 15 a factor of h?
True
Let b be 1 + 3 - 2/1. Suppose b*h = 8 + 4. Does 6 divide 134/h - (-4)/6?
False
Let d = -9 - -34. Suppose d = 3*j - 41. Suppos... | {
"pile_set_name": "DM Mathematics"
} |
rt(132)*2*-6 - sqrt(132))*-6)/(sqrt(72)/(1*sqrt(6)) + sqrt(48)/(sqrt(12)/sqrt(3))))**2 + -3.
14253
Simplify (sqrt(1694)*-1)/(sqrt(242) + (sqrt(242) - 1*sqrt(242))) + 5.
-sqrt(7) + 5
Simplify -2*(sqrt(25)*2)/sqrt(5) - (sqrt(320) + 5 + (0 + sqrt(320))**2).
-325 - 12*sqrt(5)
Simplify ((sqrt(132)*-4)/sqrt(4))/(sqrt(3) - -3... | {
"pile_set_name": "DM Mathematics"
} |
2
Let w(s) = 31*s + 3. Let d be w(3). Suppose 5*f = -r + 3*f + 8, f - 10 = -2*r. Let b be (4/6)/(r/d). Solve j = -5*n + 2*n + 7, -5*j + b = -4*n for n.
1
Let q(t) = t**3 + 2*t**2 - 9*t + 5. Let y be q(-3). Solve v - y = 5*i, 5*i - 9 = -4*v - 42 for i.
-5
Let n be 50*(-2 - 95/(-50))*-4. Solve 2*p + 2 = -0, 5*p = -5*f + ... | {
"pile_set_name": "DM Mathematics"
} |
et r be ((-82)/(-3))/(4/6). Does 56 divide 0 + 1002 - r/(205/(-30))?
True
Suppose 7*i = 52257 - 9123. Is i a multiple of 78?
True
Suppose 13*y + 95 = -6*y. Let l(c) = -200*c + 312. Is 11 a factor of l(y)?
False
Let y(q) = -q**3 + 4*q**2 - 2*q - 3. Let z be y(3). Suppose -4*j + m = 5*m - 196, z = 3*m - 9. Is j a multipl... | {
"pile_set_name": "DM Mathematics"
} |
+ v. Is p a prime number?
True
Is (-262108)/(-16) + 18/(-24)*1 a prime number?
True
Let p be (10/(-4) + 2)*(346 + -2). Let l = p - -299. Is l prime?
True
Let c = -278 - -523. Suppose 0*v - v = 0. Suppose 2*t = -7*g + 3*g + 944, g + 5*t - c = v. Is g prime?
False
Suppose -18*v + 68950 = -8*v. Suppose v = 11*g - 4*g. Is... | {
"pile_set_name": "DM Mathematics"
} |
ding order.
8, h, 0, -0.3
Let h = -1788 + 1798. Sort h, 0.1, -7.
-7, 0.1, h
Let h(i) = i**3 + 6*i**2 + 5. Let c be h(-6). Suppose 14*o + 2*o = -48. Sort c, 3, o, 1 in ascending order.
o, 1, 3, c
Let y = -702 + 5613/8. Put -2, -0.1, y, 2/13 in descending order.
2/13, -0.1, y, -2
Let q be 22/(-3)*(16/(-2) + 5). Let y(z) ... | {
"pile_set_name": "DM Mathematics"
} |
(-2)/2)
-3/7
Calculate 22/4 - (-42)/(-7).
-1/2
(-46)/(-69) - (-5)/(-3)
-1
What is (-25)/(-10)*36/(-30)?
-3
Calculate 61 - 56 - (1 - -9).
-5
Evaluate (-7)/((-14)/4)*(8 - 6).
4
Evaluate ((-4)/(-2) + 1)/(22 - 19).
1
Evaluate (-45)/(-55) - (-6)/33.
1
What is the value of (-513)/(-63) - 2/14?
8
Calculate -3 - (-15)/6*(-12)/... | {
"pile_set_name": "DM Mathematics"
} |
e y = -1 + o. Solve g = -g + y for g.
4
Suppose -7 + 3 = -3*q - 4*u, 3 = -4*q + 3*u. Let c be ((-16)/(-12))/(4/18). Suppose c*g - 8 - 10 = 0. Solve -g*i = -q*i - 6 for i.
2
Let l be (-110)/(-5)*(2 + 6/(-4)). Suppose 10*s - 5*s = 0. Suppose 0 = u - 3 - s. Solve l = -4*f + u for f.
-2
Let x be ((-4)/(-6))/1*333/74. Solve... | {
"pile_set_name": "DM Mathematics"
} |
/(c/c**(-3)*c) assuming c is positive.
c**(-41/40)
Simplify s**(2/33)/s**(-22/7) assuming s is positive.
s**(740/231)
Simplify ((((w*w/(w**0*w)*w*w*w)/w*w)/w*w)/w)**15/((w/w**2)/w*w*w*(w/w**1)/w) assuming w is positive.
w**46
Simplify p/(p**(-7)/p)*p/(p/(p/(((p*p**(-3/8))/p*p)/p)*p))*(p*p**6)/((p*p*p**(1/13)*p*p)/p) as... | {
"pile_set_name": "DM Mathematics"
} |
*p + f, i + 2 = -4*p. Is i a composite number?
True
Suppose 60 = -p + 6*p. Suppose -5*l - p = -177. Is l a composite number?
True
Let g = 24 - 13. Suppose -3*j - 4*o - 16 = o, o + g = 2*j. Suppose j*y = -5*f + 120, f = 4*y + 2*f - 143. Is y a composite number?
True
Let q(o) = 8*o**3 - 4*o**2 + 6*o - 3. Suppose 0 = -2*z... | {
"pile_set_name": "DM Mathematics"
} |
)/3 - ((-17845)/903 - -20)?
-4/7
(0 - (-4 + 6))*(-3 - (-135)/42)
-3/7
Evaluate -16 - (15/(-3) + (-260)/(-26) + -8).
-13
Calculate (17 - (-3700)/(-160)) + (-36)/(-6).
-1/8
Evaluate (-184)/138 - (-6 + (-1400)/(-147)).
-34/7
((-1384)/156 + 9)/(6*(-30)/(-648))
6/13
(2*4/(-16))/(12/16 + -1)
2
Evaluate (-41)/200 + 596/7450.
... | {
"pile_set_name": "DM Mathematics"
} |
6*w**2
Let r(p) be the second derivative of p**4/6 + p**3/3 + p**2/2 + 2625*p + 2. Let j(q) = 1. Calculate -2*j(b) - r(b).
-2*b**2 - 2*b - 3
Let g(a) = 14*a - 5. Let b = 89 + 34. Let u(n) = n - 68 + b - 56. What is -g(t) + 5*u(t)?
-9*t
Let o = 7 - 15. Let x be ((-15)/20)/((-1)/8*2). Let n(b) = 5*b - 1. Let t(k) = -2*k... | {
"pile_set_name": "DM Mathematics"
} |
implify ((g/(g*g**(-1/3)*g)*g)**(-11)/(g**1/(g*g**6)))**20 assuming g is positive.
g**(140/3)
Simplify (k**(-38)*k**(5/6))**(-2/155) assuming k is positive.
k**(223/465)
Simplify ((n**(2/5)*n)/n)**24*(n**(-1)/n)/n**(-2/7) assuming n is positive.
n**(276/35)
Simplify (t**(2/9))**12/(t**6)**(-18) assuming t is positive.
... | {
"pile_set_name": "DM Mathematics"
} |
j - 1)**3*(9*j - 2)
Determine o, given that 10/9*o**3 + 44/3*o**2 + 16/9 - 50/9*o**4 + 88/9*o = 0.
-1, -2/5, 2
Factor -5/2*z**3 + 0 + 0*z + 0*z**2 - 15/2*z**4.
-5*z**3*(3*z + 1)/2
Let d(m) be the second derivative of 1/2*m**2 - m + 1/12*m**4 - 1/3*m**3 + 0. Let d(x) = 0. Calculate x.
1
Let g(a) be the third derivative ... | {
"pile_set_name": "DM Mathematics"
} |
3
Let z(n) = n**3 + 7*n**2 - 6*n - 44. Let g be z(-5). Calculate the remainder when 1/6 + (-6)/(g/(-461)) is divided by 13.
12
Let j = 4252 + -4234. Let w = -16 - -57. Calculate the remainder when w is divided by j.
5
Suppose 9*h - 4*h = -165. Let u = h - -42. Suppose i - 15 = -0*i. What is the remainder when i is divi... | {
"pile_set_name": "DM Mathematics"
} |
d**2 + 28*d + 39. What are the prime factors of x(12)?
3, 7, 11
Let n(v) = v**2 + 7*v - 15. Suppose -r + 0*u + u - 16 = 0, -5*r - 40 = 3*u. What are the prime factors of n(r)?
29
List the prime factors of 40/(-12) - (-4492)/3.
2, 3, 83
Let m(j) = 7*j - 46. Let h be m(6). List the prime factors of (178/(-4))/(h/8).
89
S... | {
"pile_set_name": "DM Mathematics"
} |
ctor 3/7*i**2 + 0 + d*i.
3*i*(i + 1)/7
Suppose y = -0 + 4. Let l(t) = 2*t**2 + 4*t - 2. Let q(o) = -o. Let a(i) = y*q(i) + l(i). Solve a(s) = 0.
-1, 1
Let t(s) = -s**3 + s**2 + 1. Let j(r) = 8*r**3 + 16*r**2 + 48*r + 31. Let u(z) = j(z) + 5*t(z). Determine f so that u(f) = 0.
-3, -2
Let h(c) be the third derivative of ... | {
"pile_set_name": "DM Mathematics"
} |
= -48*a - 38. Let u be b(-1). Solve 5*y = u, -4*y = 2*o + 3 - 13 for o.
1
Let t be ((-1)/2)/((-44)/264). Solve 9*p + 27 = 4*p + l, -t*p - 5*l = 5 for p.
-5
Let v be (-30)/60 - (-10)/4. Suppose -5*i - k = -6, 0 = -i - v*k - 3*k - 18. Solve -p + i + 2 = -5*n, -5*n = 2*p - 8 for n.
0
Let m be 2*-2*(-18 - -16). Suppose -m ... | {
"pile_set_name": "DM Mathematics"
} |
3)?
False
Let k = -16 + 31. Suppose r - 5 = k. Is 6/10 - (-968)/r a multiple of 15?
False
Let j = 52 + -45. Suppose 0 = j*r - 684 - 828. Is r a multiple of 12?
True
Let q = 86 + 596. Is q a multiple of 62?
True
Is (3 - 66/42)/(4/5614) a multiple of 34?
False
Let v(y) = -10*y + 224. Does 6 divide v(6)?
False
Suppose 377... | {
"pile_set_name": "DM Mathematics"
} |
Which is the nearest to v? (a) -3/7 (b) 1/8 (c) 3
b
Let q be 2/20 - 0/1. Let m = -358/9 + 40. What is the closest to -1 in q, m, 0.2?
q
Let f = 7 - 8. Let d be 1 - f - (-6)/(-4). Let q = 0 - -4. Which is the nearest to -1? (a) d (b) q (c) -0.5
c
Let q = -69 + 45. Let g = q - -22. Let p = -1265/2919 + 2/417. What... | {
"pile_set_name": "DM Mathematics"
} |
s 1/2*21/84?
1/8
(-54)/(-189)*14/(-4)
-1
Calculate 4*(-2)/(-36) + 1092/189.
6
Calculate 1 + (7/((-7)/4) - 1).
-4
(-29)/((-87)/(-18)) + 8
2
(-12)/(-2 - -5)*7/7
-4
What is ((-4212)/3744)/((-2)/4 + 1)?
-9/4
-3*2 + (1 - -3)
-2
Calculate (-3)/(-12) - (1 - 39/84).
-2/7
Evaluate (6 - 8)/(0 + (4 - 9)).
2/5
Calculate (-2)/(-1) ... | {
"pile_set_name": "DM Mathematics"
} |
p**(-130/3)
Simplify d**(-1/2)*d*(d*d**(4/7)*d*d)/d*((d*d**19)/d)/d*d/d**1 assuming d is positive.
d**(295/14)
Simplify (b**0)**(-5)*b*b**(-1)/b*((b*b*b**1)/b)/b assuming b is positive.
1
Simplify ((f/(f/(f**(-2/69)/f)))/f)/f**(-2/43)*(f**(-3/4))**41 assuming f is positive.
f**(-388469/11868)
Simplify t**(-11)*t*(t**(-... | {
"pile_set_name": "DM Mathematics"
} |
0000
Let a = 1202.4529 + -1149.361. Let l = a - 52.81. Round l to one decimal place.
0.3
Let v(r) = 196 + 134500000*r**3 + 5*r**2 - 5*r - r**2 - 195. Let b be v(1). Round b to the nearest one million.
135000000
Let d = -10.5 - 157.94. What is d rounded to the nearest 10?
-170
Let p be 0*((-10)/15)/2 + 5. Suppose -5*c =... | {
"pile_set_name": "DM Mathematics"
} |
t b(p) = -p**2 - p + 3. Let g be b(4). Let x = g - -29. Let h = 16 - x. Calculate the least common multiple of h and 2.
4
Let k = 1231 - 951. What is the least common multiple of 35 and k?
280
Suppose -5*w + 10*w - 55 = 0. Suppose -3*i = -16 + 4. What is the smallest common multiple of i and w?
44
Let f be 6/(-30) - 12... | {
"pile_set_name": "DM Mathematics"
} |
37)))/n assuming n is positive.
n**(-125/259)
Simplify (d**1)**(-10)/(d**(-1/3)*d)**28 assuming d is positive.
d**(-86/3)
Simplify (k*k*(k/(k/k**(-1)))/k)**(-6/13)/((k/((k/((((k**(3/5)*k)/k*k)/k)/k))/k)*k)/k*(k*k**(-4))/k) assuming k is positive.
k**(17/5)
Simplify (o*o/o**3)**3 assuming o is positive.
o**(-3)
Simplify... | {
"pile_set_name": "DM Mathematics"
} |
/5, -3/5, b
Let w be (-24)/(-10) + 0 + -2. Let n = 47.8 + -53. Let y = n + 5. Sort -5/6, y, w in descending order.
w, y, -5/6
Let b = 2/7 - 31/84. Put -3, -0.4, b in descending order.
b, -0.4, -3
Let x = -1/45405 - 13141/90537570. Let v = x + 173977/2991. Let r = -58 + v. Sort r, 5, 0.
0, r, 5
Suppose 4*q + 5*w + 10 = ... | {
"pile_set_name": "DM Mathematics"
} |
iple of 15?
True
Let i(d) = 5*d**2 - 3*d - 4. Let b be i(4). Let t = 38 - b. Let j = -10 - t. Is 16 a factor of j?
True
Let r be ((-18)/(-5))/((-6)/(-60)). Suppose -4*i + 4*y + r = 0, 5*i + 2*y + 3 = 69. Is 6 a factor of i?
True
Suppose 0 = 2*y - 0 - 18. Suppose 0*q + y = 3*d + 3*q, -4*d + 12 = -5*q. Suppose a = -4*k +... | {
"pile_set_name": "DM Mathematics"
} |
v(-5) and z.
9
Let z(i) = i**3 - 2*i. What is the least common multiple of z(2) and 20?
20
Let u(z) = -z + 3. Let i be 2/5 - 8/20. Let w be u(i). Calculate the common denominator of 95/6 and 43/20 - w/(-6).
60
Let n = -4 - -10. Let c = 17 + -1. Calculate the common denominator of 3/2 - 60/c and n.
4
What is the common ... | {
"pile_set_name": "DM Mathematics"
} |
Suppose -3*o - 4*b = b - k, -2*o + b = -6. Suppose 0 = -0*q - o*q + 2235. Is q composite?
True
Let m(c) = -2383*c - 1656. Is m(-11) prime?
False
Let z = 17087 - 7436. Is z composite?
True
Suppose 3051650 = 58*t + 21*t - 2262759. Is t composite?
False
Let a(g) = g**2 - 5*g + 6 - 2*g**2 - 3 - 17*g**3. Let z = -3997 + 39... | {
"pile_set_name": "DM Mathematics"
} |
mplify (sqrt(88)/(6*sqrt(44)/sqrt(4)))/((sqrt(4356) + sqrt(4356)*-2)/sqrt(9)).
-sqrt(2)/66
Simplify -1*(-2*-6*-1*5*1*sqrt(567))**2.
-2041200
Simplify ((1*sqrt(19))**2*-2 - (sqrt(190)*-4)/sqrt(10))*3.
-114 + 12*sqrt(19)
Simplify (-6*((sqrt(132) - (sqrt(132) + -4*sqrt(132))) + sqrt(132))*-3)/((sqrt(48)/sqrt(72))/sqrt(2))... | {
"pile_set_name": "DM Mathematics"
} |
5, 3*n = 3*i - 15. Let p(r) = -6*r + n*r**2 + 5*r - r**2 + 5 - 15. Calculate p(k).
-10
Let q be 3/(-1)*(-1)/9*3. Let p(j) = 29*j - 3. Give p(q).
26
Let a = 283 - 248. Suppose 0 = -4*f - 5*k - a, 2*k + 26 = 2*f - 6*f. Let d(p) = p**3 + 5*p**2 - 2*p + 7. Give d(f).
17
Suppose -2*u = -5*z + 46, -3*z - 5*u + 14 = -26. Supp... | {
"pile_set_name": "DM Mathematics"
} |
t h be (u/10)/((-2)/(-5)). Solve h*b - 3 - 3 = 0 for b.
3
Suppose 3*s + 5*v - v = -76, s - 4*v = -4. Let f = s - -25. Suppose 4*r - f*r = 0. Solve c + c + 10 = r for c.
-5
Suppose -4*q + 11 = -5*c - 10, 4*c = -20. Let j be q/3*-21 - -1. Solve -2*o - 2 = -j for o.
3
Let h(a) = 3*a**3 + 22*a**2 - 23*a - 30. Let n be h(-7... | {
"pile_set_name": "DM Mathematics"
} |
3*i + q = -5*i for i.
-4
Let s(q) = -7*q + 117. Let y be s(16). Solve 19 - 9 = -y*a for a.
-2
Suppose -4*h + 14 = 3*o, 1 = 4*o + 5*h - 18. Solve -3*v + 6*v - o = 0 for v.
2
Let o be 3 - 0 - (-12)/1. Suppose -10*v + o*v = 60. Solve w - 5*w = v for w.
-3
Let m = 31 - 19. Suppose 0 = 2*t + 2*t + 4*q + m, 0 = t + 2*q + 6. ... | {
"pile_set_name": "DM Mathematics"
} |
t z(b) be the first derivative of 1/3*b**3 - 2 + 3*b + q*b**2. Determine z(-4).
7
Let b be 2 - (-3)/((-9)/(-3)). Let z be b*1*7/(-3). Let s(d) = -7*d + 14. Let g(p) = -2*p + 1. Let w(y) = -4*g(y) + s(y). What is w(z)?
3
Let a(z) = -z + 23. Let n(r) = r**2 + 28*r + 45. Let v be n(-27). Calculate a(v).
5
Let x(r) = -2 - ... | {
"pile_set_name": "DM Mathematics"
} |
180 - m**5/120 - 9*m**4/8 + m**3/6 - 8*m. Let d(c) be the second derivative of h(c). What is the tens digit of d(8)?
9
Suppose 5*h + 121 = -104. Let c be 18/h - 734/(-10). Let i = -50 + c. What is the tens digit of i?
2
Suppose 32*v - 65040 = 2*v. What is the units digit of v?
8
What is the tens digit of 1/((-4)/8) + 5... | {
"pile_set_name": "DM Mathematics"
} |
t g(n) = -n**3 + 6*n**2 + 7*n + 3. Let u(h) = 17 + h**3 - 4*h**3 + 11*h**2 + 11*h - 2*h**3 + 6*h**3. Let q be u(-10). What is g(q)?
3
Let y be 4/(-1) - (3 - 10). Let h be y/(-9) + (-80)/(-15). Suppose -2*p + 2 = v - 2, 2*p = -h*v + 4. Let a(s) = 6*s**2 - 2*s - 1. Determine a(p).
19
Let m(p) = -3*p - 6. Let o(g) = -10*g... | {
"pile_set_name": "DM Mathematics"
} |
ive n(m).
-2
Let q(w) = -w**2 + 6*w - 6. Let y = -53 - -57. Determine q(y).
2
Suppose -5*v = 0, v - 4*v + 20 = 4*n. Let w = -37 + 38. Let j(o) = -o**3. Let u(y) = -5*y**3 - 4*y**2 - 4*y - 1. Let k(m) = w*u(m) - 6*j(m). Give k(n).
4
Let b be (-2)/(-4) + (-10)/4. Let q be b/(-4) - 17/(-2). Suppose 4*v + q = -7. Let f(w) ... | {
"pile_set_name": "DM Mathematics"
} |
. Let s = 0 + j. Put s, -0.1, d in descending order.
-0.1, s, d
Let d(r) = -2*r**2 + r - 9. Let z be d(0). Let n(m) = m**2 + 9*m - 1. Let p be n(z). Put p, 3, -4, 2 in ascending order.
-4, p, 2, 3
Let g = -18 - -22. Let q = 15 - g. Let s(f) = f**2 + 7*f + 4. Let m be s(-7). Put q, m, -2 in decreasing order.
q, m, -2
Le... | {
"pile_set_name": "DM Mathematics"
} |
-40)/12*(-12)/10. What is the remainder when 41 is divided by ((-14)/s)/((-5)/30)?
20
Let i(s) be the first derivative of 1/4*s**4 - s**2 + 2 - 2/3*s**3 - 3*s. What is the remainder when i(4) is divided by 12?
9
Suppose -p + 3 = 6. Let v(q) = -q**3 - 2*q**2 + q - 1. Let o be v(p). Let f = o + 57. Calculate the remainde... | {
"pile_set_name": "DM Mathematics"
} |
-4/13)
Simplify ((u*(u**(-7)*u)/u)/(u/(u/(u/((u**(5/6)*u)/u)))))**14 assuming u is positive.
u**(-259/3)
Simplify ((v**(-1))**(6/17))**28 assuming v is positive.
v**(-168/17)
Simplify (m**(-1/18)/m)/((m/(m*m**(1/13)))/m)*(m/m**8)/m**(-2/25) assuming m is positive.
m**(-40357/5850)
Simplify (q*q**(-2/3)*q*q)**(2/7)/(q**... | {
"pile_set_name": "DM Mathematics"
} |
24*z
Let r(c) = -c**2 + 2*c - 2. Let u(p) = 3*p**2 - 5*p + 5. Let x(w) = -5*r(w) - 2*u(w). Let f(n) be the first derivative of n**2 + 1. Determine x(f(g)).
-4*g**2
Let o be (((-6)/(-9))/(-2))/(-10). Let y(n) be the third derivative of 0*n**4 + 0*n**3 + 0 + 0*n - 2*n**2 + o*n**5. Let z(c) = c. Determine z(y(s)).
2*s**2... | {
"pile_set_name": "DM Mathematics"
} |
8234 = j. What is the tens digit of x?
5
Let y(x) = x**3 - 9*x**2 + 12*x - 20. Let w be y(8). Let a be 3/(13/w + (-7)/21). Suppose 0 = -3*v - 0*v + 5*p + 568, a = 4*p. What is the tens digit of v?
9
Let i(h) = -h**3 - 15*h**2 - 21 + 17*h - 7*h**2 + 9*h**2. Let n be i(-14). What is the tens digit of (n/12 - -4)*-28?
3
S... | {
"pile_set_name": "DM Mathematics"
} |
4)/n)/n**(-1/6) assuming n is positive.
n**(14207/120)
Simplify ((l/l**(-2/7))/(l*l/(l/l**2)*l))/(((l**(-2/15)/l)/l)/(l**6/l))*(l**(-1/8)*l**(-4)/l)/((l/l**(-2))/(l*l/(l*l/(l**(-2/3)/l)))) assuming l is positive.
l**(-4513/840)
Simplify (l**(2/5)/l)/(l*l*l/(l*l**1*l))*l**2*l*l*l*l**(1/2)*l*l*l**(-2)*l*l*l**(-3)*l**(2/3... | {
"pile_set_name": "DM Mathematics"
} |
Simplify (-2*sqrt(180) - sqrt(180))**2 + ((3*sqrt(220))/sqrt(11))**2 + sqrt(20) - (-5 + -5*((1 + sqrt(320))*-3)**2).
722*sqrt(5) + 16250
Simplify -3*(sqrt(175) - sqrt(175)*4*-1) + (2*-5*((sqrt(175) - sqrt(175)*3) + sqrt(175)))**2 + 4.
-75*sqrt(7) + 17504
Simplify (((sqrt(330)*-1 + sqrt(330))*-4 - sqrt(330))/(-4*sqrt(4... | {
"pile_set_name": "DM Mathematics"
} |
)/(-1)*10/m. Suppose -6*a + 3*a + 2*v + 30 = 0, -2*v - 50 = -5*a. What is the greatest common factor of r and a?
10
Suppose 2*d + 0*c + 3*c = 12, -17 = -d + 4*c. Let y = -4 + 9. Suppose y*v - 405 = 3*x, -4*x + 324 = 3*v + v. What is the highest common factor of d and v?
9
Let s(m) = -m**3 + 15*m**2 + 12*m - 24. Let l b... | {
"pile_set_name": "DM Mathematics"
} |
prime factors of q.
7, 29
Suppose 2*m = -2*i + 21100, -3*m + 9516 = 4*i - 32679. What are the prime factors of i?
3, 5, 19, 37
Suppose 2*r - 14 = -f, -11*r = -3*f - 6*r - 13. List the prime factors of (4 - 6)/(f/(-302)).
151
Let i = 44 + -53. Let r = -7 - i. Suppose -4*h = -f + 47, 0*f + h - 130 = -r*f. List the prime ... | {
"pile_set_name": "DM Mathematics"
} |
60))/((4 - 2)/20). Suppose -f*l + 25 + 479 = 0. What is the remainder when 277 is divided by l?
25
Let i(z) = -z**3 + 6*z**2 - 10*z + 8. Let n be i(3). Suppose 2*l - n*y = 49, 3*y = 3*l - 50 - 10. What is the remainder when 67 is divided by l?
16
Let y = 60 + 126. Calculate the remainder when y is divided by 39 + 13/(3... | {
"pile_set_name": "DM Mathematics"
} |
94)/(-14) + 1695/(-2373)?
6
What is (-19)/(1520/(-110)) + 6/(-16)?
1
3/(-4)*120/(-54)*6
10
What is 2355/(-1413)*6/(-7)?
10/7
Evaluate (2/(-6) + -4)/((-6)/(-18)).
-13
What is (3 + 40/(-2))*(-1 - 0)?
17
Calculate 950/1575 - (-40)/(-45).
-2/7
Evaluate (2/126)/(26/674) - (-4257)/(-9933).
-2/117
Calculate 4/(-7) + (-71550)/... | {
"pile_set_name": "DM Mathematics"
} |
+ c*o + 6 = 0. List the prime factors of (-4 - o)/((-1)/5).
5
Let y(u) = 13*u + 25. List the prime factors of y(11).
2, 3, 7
Let f be 14 - (2/(-2) + 1). Suppose m + 2*p - f = -3*p, 0 = -p. List the prime factors of m.
2, 7
Let s(k) = 2*k**2 + 4*k + 3. Let o be s(-2). Suppose 5*b + c + o*c - 75 = 0, 1 = -b - 4*c. What ... | {
"pile_set_name": "DM Mathematics"
} |
et j(k) = 5*k**2 - 3*k + 0 + k**2 - 3 - 4*k**3. Let c(y) = r*j(y) + 3*v(y). Factor c(t).
-t**2*(t - 3)
Let r be 128 + (-5 - (-30)/2). Let y be r/(-23) + (6 - 0). Factor 0 + y*p - 2/3*p**4 - 2*p**2 - 8/3*p**3.
-2*p**2*(p + 1)*(p + 3)/3
Let d(v) be the second derivative of -v**6/15 + 6*v**5/5 - 25*v**4/3 + 28*v**3 - 45*v... | {
"pile_set_name": "DM Mathematics"
} |
2 - o**3 - 4*o**2 + 2*o**2 + 4. Does 8 divide i(-7)?
False
Suppose 0 = -u + 2. Let q be (u/(-2))/((-1)/79). Let o = q - 55. Is 15 a factor of o?
False
Let f = -43 - -89. Is f a multiple of 8?
False
Let a = -62 + 36. Let c = 40 + a. Is c a multiple of 9?
False
Is 30 a factor of ((-2)/(-9) - 176/(-18))*12?
True
Let o = -... | {
"pile_set_name": "DM Mathematics"
} |
= -v - 2. What is the tens digit of h(v)?
1
Let p(z) = -z**2 - 6*z - 5. Let s be p(-5). Let c be 3*(-1 + 2) + 0. Suppose -4*d + 29 + c = s. What is the units digit of d?
8
Suppose 5*m - 28 - 17 = 0. Suppose 13*f - m*f - 208 = 0. What is the tens digit of f?
5
Let z(o) = -1 + 1 - o. What is the units digit of z(-7)?
7
... | {
"pile_set_name": "DM Mathematics"
} |
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