text stringlengths 3.26k 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"
} |
+ 63. Suppose -k + 1 = 3. Which is the second smallest value? (a) f (b) k (c) w
c
Let p = -1.18 + 1.08. Let j = -69.3 + 61. Let n = j + 8. What is the second smallest value in p, n, -1/5?
-1/5
Let n = 0 - -0.4. Let u(s) = s**3 - 8*s**2 + 5*s + 10. Let w be u(7). Let z = w + 10/3. Which is the biggest value? (a) 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"
} |
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"
} |
alculate the remainder when 158 is divided by z(0).
52
Let q = 274 + 411. Suppose -2*w - 5*x = -q, 5*w - 1047 = 2*w - x. What is the remainder when w is divided by 27?
26
Let w(m) = 9562*m - 4821. Calculate the remainder when w(3) is divided by 204.
201
Let c = 199 + -194. Suppose -4*o = 5*s - 231 - 108, -5*s + c*o + 3... | {
"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"
} |
-i - 7 = -8*i. Calculate i*v(q) + 3*h(q).
q**3
Let k(p) = -20*p**3 + 17*p**2 + 23*p + 14. Let q(w) = w**3 - 18*w**2 - 17. Let j be q(18). Let v(n) = -7*n**3 + 6*n**2 + 8*n + 5. Give j*v(b) + 6*k(b).
-b**3 + 2*b - 1
Suppose -4*q = 20, -q + 5 = 4*u - 6. Let v(a) = -a**2 - 4*a - 4. Let i(c) = -3*c - 3. Calculate u*i(r) -... | {
"pile_set_name": "DM Mathematics"
} |
-4
Suppose 2*c = -2*s + 38, s = -4*c + 2*c + 23. Let w = 37 - s. Solve 5*g + 3 + w = 0 for g.
-5
Let n(a) = a**2 + 12*a + 4. Let j be n(-12). Suppose 0 = 2*l - j*l + 4. Solve 0*b = l*b for b.
0
Suppose -5*w = -3*w. Suppose i - 6 = -4*q, 3*q - i = 8 - w. Suppose -5*x + 15 = 2*o, 5*o + 4 = 4*x - 8. Solve k - q = -o for ... | {
"pile_set_name": "DM Mathematics"
} |
e h = 4*l + 4*y - 146, 239 = 3*l - y. Is l a prime number?
True
Let a(c) = 7*c**3 - 16*c**2 - 9*c + 115. Is a(11) composite?
True
Let j(b) = b**3 - b**2 + 3*b + 1. Let o(y) = -y**2. Let a(l) = j(l) + 2*o(l). Let v be a(5). Suppose -v = -n - n. Is n a composite number?
True
Suppose -5*d + t + 590312 = 0, -4*t - 115288 =... | {
"pile_set_name": "DM Mathematics"
} |
Let c(l) = -l**2 + l - 1. Determine s*j(h) - 28*c(h).
-4*h**2
Let n(a) = 7*a - 7. Let o(s) = s. Let r(g) = -n(g) + 3*o(g). Let d(w) = 6*w - 4*w - 3 - 3*w + 4. Calculate 5*d(x) - r(x).
-x - 2
Suppose 5 = 3*i - 1. Suppose 0*v + 12 = i*v. Let o(r) = 7*r**2 + 6*r + 5. Let b(n) = -6*n**2 - 5*n - 4. What is v*b(j) + 5*o(j)?
... | {
"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"
} |
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"
} |
7) a multiple of 25?
True
Suppose -2*s - 5*i - 5 = 0, 6*s - i - 28 = s. Suppose -3*n - s*y + 167 = -n, 0 = 3*n - y - 225. Is n a multiple of 19?
True
Is 16 + -18 + -1 + -1 + 2620 a multiple of 18?
False
Let q(z) = z**2 + 1. Let d be q(-2). Suppose 5*f + l - 1050 = d*l, 0 = -5*f + l + 1035. Is f a multiple of 10?
False
... | {
"pile_set_name": "DM Mathematics"
} |
3). Is r not equal to 4/9?
True
Suppose -7*p = -11*p + 36. Which is smaller: p or 0?
0
Let y = 15 + -9. Let a(f) = f**3 - 7*f**2 + 6*f. Let s(p) = p**3 - 7*p**2 + 6*p - 1. Let o(h) = -4*a(h) + 3*s(h). Let b be o(y). Which is bigger: b or -0.1?
-0.1
Let d = 121 - 131. Let g = -15/7 + 52/21. Which is smaller: d or g?
d
... | {
"pile_set_name": "DM Mathematics"
} |
00
Let z = -95874.9147146 + 96020.9147. Let i = 146 - z. Round i to five dps.
0.00001
Let c = -108 - -113. Let f(s) be the first derivative of -s**4/4 + s**3/3 + 5*s**2/2 + 7*s - 3. Let z be f(c). Round z to the nearest 10.
-70
Let w = -114.21 + 0.21. Let i = -2152969882.0000279 - -2152969996. Let y = w + i. Round y to... | {
"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"
} |
03)?
-6
Let x(p) = p**2 + 257*p - 19404. What is x(61)?
-6
Let c(j) = 19*j - 229. Determine c(17).
94
Let t(i) = -1140*i + 410400. Determine t(360).
0
Let s(w) = -30*w**2 - 368*w - 134. Determine s(-12).
-38
Let c(r) = 30*r - 41. Give c(8).
199
Let t(p) = -15*p**2 + 60*p - 188. Calculate t(4).
-188
Let z(s) = -s**2 - 4... | {
"pile_set_name": "DM Mathematics"
} |
10, k, -2
Suppose -24*r + 274 = -25*r. Let h = -266 - r. Put 3, h, 1 in ascending order.
1, 3, h
Let a be 4*(-2 + 110/54). Let o = 35/54 - a. Let w(i) = -1753*i - 7005. Let d be w(-4). Sort d, -1, o, -0.1 in decreasing order.
d, o, -0.1, -1
Let g(h) = -4*h**3 + 55*h**2 + 11*h + 46. Let r be g(14). Sort 16, r, 135, 5 in... | {
"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"
} |
t m(o) = -9*o**3 - 2*o**2. Let p(w) = 69*w - 347. Let i be p(5). Let y(f) = -91*f**3 - 21*f**2. Determine i*y(b) + 21*m(b).
-7*b**3
Let y(m) = m**2 + 2*m + 22. Let o(q) = -q - 3. What is 14*o(r) + 2*y(r)?
2*r**2 - 10*r + 2
Let w(c) = -7*c**3 + 5*c**2 - 45*c + 30. Let z(j) = j**3 - j**2 - 5. What is -w(f) - 6*z(f)?
f**3... | {
"pile_set_name": "DM Mathematics"
} |
9). What is the third biggest value in j, 3, -3/4?
-3/4
Let w = 6280 + -6280.3. Which is the fifth smallest value? (a) 1 (b) 3/8 (c) w (d) 2 (e) 7/2
e
Let x = 0.5 + 8. Let l = x + -5.5. Which is the second smallest value? (a) l (b) -4 (c) -3 (d) -3/4
c
Let m = 20751 - 20751. What is the second smallest value 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"
} |
= -1 + 1 + 8*u - 11*u. Calculate the remainder when 16 is divided by g(-3).
7
Let k(q) = -4*q - 2 + 5*q**2 + 4 - q**3 + 3. Let t be k(4). Suppose 5*l - 38 = -t*y - 3, -y + 1 = -2*l. Calculate the remainder when 8 is divided by y.
3
Let z(a) = 9*a + 5. Let p = 421 - 407. Calculate the remainder when z(4) is divided by ... | {
"pile_set_name": "DM Mathematics"
} |
f - 1. Let b(s) = -2*j(s) + 7*z(s). What is the second derivative of b(w) wrt w?
200
What is the second derivative of -3 - 1 + 7*a**3 + 4*a**3 + 59*a + 4 - 3*a**2 wrt a?
66*a - 6
Let t(g) = -2912*g**3 + 6*g**2 - 20*g - 9. Let d(n) = 728*n**3 - 2*n**2 + 5*n + 2. Let f(i) = -9*d(i) - 2*t(i). What is the third derivative ... | {
"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"
} |
= 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"
} |
- 4*t**4 + 2*t**4. Let i(g) = -7*g**4 + 5*g - 7. Let y(l) = 5*b(l) + 2*i(l). What is the first derivative of y(h) wrt h?
4*h**3
Suppose 2*t = -t. Suppose -2*z = g + z - 8, -3*g + 4*z - 2 = t. What is the second derivative of 2*s**3 + g*s - 2*s**3 - 2*s**4 wrt s?
-24*s**2
Let j(r) be the first derivative of 6*r**5/5 + 3... | {
"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"
} |
i = -7. What is y(a)?
15
Let o(g) = g. Let y(u) = u**2 - 6*u. Let r be y(7). Suppose 0 = -2*l + 1 + 3. Suppose 5*f - l = -r. Give o(f).
-1
Let q(y) be the second derivative of -y**5/20 + y**4/4 + y**3/6 - 2*y**2 + 17*y. Calculate q(3).
-1
Let r(q) = -3*q**2 - 26*q - 23. Let d(z) = -z**2 - 9*z - 8. Let a(v) = -11*d(v) +... | {
"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"
} |
+ 6*c**2 + 2. Let v(z) be the second derivative of -z**5/20 + 7*z**4/12 + z**2 + 103*z - 3. Give 5*s(k) - 4*v(k).
-k**3 + 2*k**2 + 2
Let w(j) = -j + 92 + 98 - 194. Let m(b) = -b**3 + b**2 + b + 10. Let z be m(3). Let f(i) = i + 3. Calculate z*w(u) - 6*f(u).
-u + 2
Let b(q) = -12*q - 6. Let c(i) = 11*i + 7. Suppose 0 = ... | {
"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"
} |
e -2*u - 91 = -5*u + l, -4*l - 124 = -w*u. What are the prime factors of u?
2, 3, 5
Let l = 404 + 353. What are the prime factors of l?
757
Suppose -138 = v - 3*v. Let x = v + 29. What are the prime factors of x?
2, 7
Suppose 2*m - 4*z + 28 = -0, 3*z = 15. What are the prime factors of 2/m*-3*3222/27?
179
Let o(t) = -2... | {
"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"
} |
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"
} |
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"
} |
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"
} |
ve -1 - r = -m for m.
3
Let h = 14 - 12. Suppose 4*y + 4*f = 16, -2*y - 3*f = -3 - 6. Solve y = b + h*b for b.
1
Suppose -7 - 5 = -4*d. Solve -2*y + d = -1 for y.
2
Suppose 3*z - z - 14 = 0. Let u(f) = -f**2 + 6*f - 2*f**2 + 2*f**2 + 10. Let r be u(z). Solve -2*x - 20 = r*x for x.
-4
Let k(g) = -4*g - 16. Let c be k(-4... | {
"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"
} |
o (b) -1/5 (c) 0.4
b
Let v = 31 - 405/13. Suppose -2*t - 2*o = -6*t, 2*o = -2*t - 6. Which is the closest to -2/3? (a) v (b) t (c) 2/9
b
Let w = 75/4 - 18. What is the closest to 1 in w, -0.2, -2?
w
Let o = 3 - 4. Let h = -0.6 + -3.4. Which is the closest to o? (a) h (b) 1 (c) 0
c
Let u = -1.5 + 1.1. Which is ... | {
"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"
} |
ppose 16/11 - g*s - 4/11*s**2 + 2/11*s**3 = 0. What is s?
-2, 2
Let p(d) be the first derivative of -d**6/2 - 33*d**5/5 - 15*d**4/2 + 106*d**3 - 399*d**2/2 + 147*d + 14459. Factor p(l).
-3*(l - 1)**3*(l + 7)**2
Let n(k) = 6*k**2 + 223*k + 49. Let q(t) = 17*t**2 + 891*t + 193. Let f(b) = 9*n(b) - 2*q(b). Factor f(s).
5*... | {
"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"
} |
20).
0
Let c(j) = j**2 - 6*j + 11. Give c(6).
11
Let n(w) = 24*w + 91. Determine n(-3).
19
Let l(n) = 9*n**2 - 1. What is l(1)?
8
Let s(j) = -j**2 - 7*j - 8. Calculate s(-7).
-8
Let g(p) = -p**3 + 4*p**2 + 13*p - 21. What is g(6)?
-15
Let b(f) = 9*f + 1. Determine b(1).
10
Let h(z) = -2*z**3 - 12*z**2 - 13*z - 7. Calcu... | {
"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"
} |
6). Let t = x - -149. What is the tens digit of t?
5
Let i(d) = 14*d - 10*d + 222 - 25*d**3 + 26*d**3. What is the units digit of i(0)?
2
Suppose 5*f = 175 + 365. Suppose f = 6*y - 2*y. Suppose 0 = j - y - 13. What is the tens digit of j?
4
Suppose -77434 - 5922 = -14*k. What is the tens digit of k?
5
Suppose 3*u - 659... | {
"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"
} |
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"
} |
erivative of -n**6/360 + 3*n**5/40 - n**4/4 + n**2. Let x(t) be the second derivative of b(t). Determine x(6).
-3
Suppose 0 = 2*s + 89 - 93. Let v(q) be the third derivative of 1/2*q**3 + 0 - q**s + 0*q + 1/6*q**4. Calculate v(-2).
-5
Let y(r) = -22*r**3 + 10*r - 8. Let b(z) = 10*z**3 - 4*z + 3. Let u(o) = -5*b(o) - 2*... | {
"pile_set_name": "DM Mathematics"
} |
+ 148*b. Let z(j) = s(j) - 12*w(j). Let q(h) be the second derivative of -7*h**3/6 + h. Calculate z(q(n)).
21*n
Let t(u) = -1285*u**2. Let s(g) = -82*g. Determine s(t(b)).
105370*b**2
Let g(x) = 7*x. Let t(o) = 928*o + 111. Give g(t(q)).
6496*q + 777
Let p(q) = 2*q**2. Let v(u) be the third derivative of 0 + 0*u**3 + ... | {
"pile_set_name": "DM Mathematics"
} |
w - 0*o + 85. What is the units digit of w?
5
Let b(g) = -3*g - 2. Let l be b(-4). Let s = -4 + l. Let p(y) = -y**2 + 7*y + 8. What is the tens digit of p(s)?
1
Let i(t) be the second derivative of 4*t**3/3 - t**2/2 - 3*t. Let a be i(-5). Let k = a - -58. What is the units digit of k?
7
Let m = 46 - 105. Let c = m - -8... | {
"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"
} |
7*x(q).
6464*q**3
Let b(v) = 2*v**3 + v - 4. Let t(g) = 7*g**3 + 7*g - 27. Determine -35*b(u) + 5*t(u).
-35*u**3 + 5
Let b(i) = -691 - 674 + 1365 - 8*i**2. Let k(f) = f**2. Calculate -b(v) + 6*k(v).
14*v**2
Let r(l) = l + 2. Let k(d) = -4. Suppose -4*v + 5*v = -5*y - 8, 2*y - 13 = 5*v. Let m(t) = y*k(t) + r(t). Let f(c... | {
"pile_set_name": "DM Mathematics"
} |
Let u(c) be the third derivative of t(c). Find the second derivative of u(y) wrt y.
-24*y
Let a(u) be the first derivative of 10*u**7/7 - 8*u**3/3 - 11. What is the third derivative of a(o) wrt o?
1200*o**3
What is the derivative of -38 + 85 + 41*d**3 - 23 wrt d?
123*d**2
Let a(z) = -z + 1. Let n be a(-4). Suppose 0 =... | {
"pile_set_name": "DM Mathematics"
} |
-539 + 133. Let b = n - -566. Is 7 a factor of b?
False
Let i(t) = t**3 + 11*t**2 - 12*t + 3. Let l be i(-12). Let y be 8 + l - (-5 - -6). Let o = y + 20. Is 30 a factor of o?
True
Suppose -74 = -2*t + 42. Suppose 0 = -5*p - 17 - 163. Let x = t + p. Is x a multiple of 6?
False
Suppose f = -4*n + 2 + 8, -3*f - 3*n = -12... | {
"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"
} |
= -677 + 681. What is v(l)?
19
Let t(z) = z**3 - 9*z**2 + 4*z + 7. Let q(y) be the first derivative of y**3/3 + 18. Let w(o) = 2*q(o) + t(o). Calculate w(6).
-5
Let q(s) = s**2 - 6*s - 2. Let f = 317 - 312. What is q(f)?
-7
Let s(j) = 2*j + 0*j**2 - 3*j - 6*j**3 - 2*j**2. Let h(p) = -3*p**2 - 38*p - 25. Let v be h(-12)... | {
"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"
} |
- 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"
} |
p) = 79*p. Calculate d(m(f)).
6241*f**2 + 502519*f
Let d(h) = -168*h**2. Let v(q) = -1459*q**2. Give d(v(f)).
-357618408*f**4
Let p(i) = 260*i**2 + 12. Let w(n) = -n**2. What is p(w(y))?
260*y**4 + 12
Let h(s) = s**3 - 4*s**2 + 6*s - 5. Let u = 32 + -27. Let g be h(u). Let n(c) = 21*c**2 - g + 50. Let y(r) = -r. Calcul... | {
"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"
} |
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"
} |
2*l
Let c(s) = -4*s - 2. Let v(t) = 5*t + 2. Suppose -n + 5*n + 14 = -2*j, 3*n = 0. Calculate j*c(k) - 6*v(k).
-2*k + 2
Let g(t) = -5*t**3 + 2*t - 2. Suppose 24 = -36*a + 48*a. Let w(h) = -15*h**3 + 7*h - 7. Give a*w(s) - 7*g(s).
5*s**3
Let i(c) = -15*c + 7*c**2 + 5*c + 8*c + 1. Let b(a) = -a**2 + a. Calculate 5*b(s) +... | {
"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"
} |
aces.
-0.00004
Suppose -2*b - b - 3 = 0, 0 = -2*f + 4*b + 14. Suppose -f*n - 4*v = -3*v - 724, 708 = 5*n - 3*v. What is n rounded to the nearest 10?
140
Let s = -1 + 1. Let c(d) = -13627*d + 3. Let z be c(-1). Suppose s = p - z + 3530. What is p rounded to the nearest one thousand?
10000
Let j = 78 - 78.00159. What is ... | {
"pile_set_name": "DM Mathematics"
} |
4, 2*d + 8 = -2*d - 4*m. Let j = d + 5. Solve 5*u + 15 = -5*b, j*b - 3*u - 14 = 6*b for b.
-5
Let o(x) = -6 + x**2 - x + 2 + 9. Let q be o(0). Solve 2*g + q*r = -30, 3*g - r + 3 + 8 = 0 for g.
-5
Suppose 0*z - 13 = -z. Suppose -4*l - c = -z - 3, 5*c + 15 = -l. Solve 4*v - 2*o = -l*o - 11, 2*o + 9 = -3*v for v.
-5
Suppo... | {
"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"
} |
y + 486. Determine z(480).
6
Let t(q) = 2*q**3 - 46*q**2 - 119*q + 1425. Determine t(24).
-279
Let h(g) = -3*g**3 - 38*g**2 - 14*g + 107. Give h(-2).
7
Let r(p) = -206*p + 206. Calculate r(4).
-618
Let r(u) = 13433*u - 53760. Determine r(4).
-28
Let j(i) = -71183*i - 4. Calculate j(0).
-4
Let q(y) = -7114*y**2 + 35573*... | {
"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"
} |
the third biggest value in -3, h, u?
-3
Let t(j) = j**3 - 2*j. Let x be t(2). Let p = -55/72 + 7/18. Suppose 3*f + 4 + 5 = 0. Which is the third biggest value? (a) x (b) f (c) p
b
Let v = -0.2 + 0.3. Let m = 2152.3 - 2152. What is the third smallest value in m, 0.4, v, 5?
0.4
Let q(l) = -l**3 - 12*l**2 - 18*l + 21. ... | {
"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"
} |
late the remainder when w is divided by 5.
4
Suppose -5 = w + 2*s - 116, -4*w = -s - 426. Calculate the remainder when w is divided by 27.
26
Let p be -28 + -3 + (-1 - 2). Let u = p + 55. What is the remainder when 33 is divided by u?
12
Suppose -2*s + 3*o - 2*o = -34, -5*s = 5*o - 85. Suppose s*v - 156 = 11*v. What is... | {
"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"
} |
0*h**3 + 0*h**4 + 0*h. Calculate v(q(m)).
-20*m**4
Let o(q) = 1145802897*q**2. Let j(n) = 2*n. What is j(o(k))?
2291605794*k**2
Let g(i) = 40*i**2. Let k(c) be the first derivative of -c**4/12 - 62*c - 3. Let n(q) be the first derivative of k(q). Calculate g(n(j)).
40*j**4
Let v(u) = -2665*u. Let k(y) = 3*y**2 - 168. W... | {
"pile_set_name": "DM Mathematics"
} |
p**2 - 20*p - 20. Give d*u(v) + j*m(v).
-4*v**3
Let z(f) = 736*f**2 - 828*f + 138. Let g(y) = y**2 + 6*y - 1. Determine -138*g(w) - z(w).
-874*w**2
Let z(v) = -5*v**3 + 3*v**3 + 4*v**3 - 5. Let w(m) = -m**3 + 2. Let u(d) = 2*d + 17. Let b be u(-8). Suppose -5*h + b + 9 = 0. Calculate h*z(i) + 5*w(i).
-i**3
Let c(u) = -... | {
"pile_set_name": "DM Mathematics"
} |
Let x = -10 + 11.7. Let t = 255 - 256.92. Let w = t + x. What is w rounded to 1 decimal place?
-0.2
Let t = 2 + -0.5. Let j = -1.61 + t. Let c = j + 0.110038. Round c to five decimal places.
0.00004
Let z = 277 + -276.8818. What is z rounded to two decimal places?
0.12
Let u = 33171132.0000065 - 33171115. Let m = -5.6 ... | {
"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"
} |
g(o) - w(o)?
4*o**3 - 15*o**2 + o + 1
Let z(t) = 144*t**2 - 27. Let h(s) be the second derivative of s**2 - 93*s - 11/12*s**4 + 0*s**3 + 2. Calculate 27*h(p) + 2*z(p).
-9*p**2
Let r(c) = -62*c + 2. Let j(k) = 170*k - 7. Give 6*j(v) + 17*r(v).
-34*v - 8
Let y(l) = -3*l**2 + 5 - 6*l**2 - 8*l + 3 - l**3. Let d be y(-8). L... | {
"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"
} |
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