text stringlengths 3.26k 8.19k | meta dict |
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1*c. Let a(x) = 29*x**3 - 9*x**2 - 23*x + 6. Let m(n) = -a(n) + 3*u(n). What is the second derivative of m(q) wrt q?
-138*q + 12
What is the first derivative of -778*y - 1521 - 84187*y**2 + 84190*y**2 - 6947 - 4516 wrt y?
6*y - 778
Let f(d) be the first derivative of -5*d**5 - 21*d**4/4 - 3425*d**3/3 - 703. Find the th... | {
"pile_set_name": "DM Mathematics"
} |
0
Let s be -4*(-7)/(21/6064992). Suppose 5*t + 6259968 = 2*t. Let h = s + t. What is h rounded to the nearest 1000000?
6000000
Let v = -0.061 + -1.339. Let u = v + 1.40000005. Round u to 7 dps.
0.0000001
Let n = 47 - 97. Let u = -50.0014 - n. What is u rounded to 4 dps?
-0.0014
Let h = 1379381986 + -1379382059.6999639.... | {
"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"
} |
*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"
} |
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"
} |
3. Let z(d) = 11*k(d) + 4*l(d). Calculate m(y) - 5*z(y).
-2*y**2 - y + 1
Let b(q) = 76*q**3 - 28*q**2 + 4*q + 5. Let l(o) = 153*o**3 - 49*o**2 + 7*o + 10. Give -7*b(j) + 4*l(j).
80*j**3 + 5
Let z(a) be the first derivative of -a**4/4 - a**2/2 - 6109. Let m(p) be the third derivative of -p**6/20 - 5*p**4/24 + 2*p**2. W... | {
"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"
} |
s.
3
Suppose 3*o + w = 5, -1 = -2*o + 5*w - 26. Suppose o = -2*v - 0 + 4. Suppose -5*t = -2*t - 4*q - 14, -2*t + 3*q + 9 = 0. Solve v*a - t = -0*a for a.
3
Suppose i = f, 3*i + 2*f - 15 = -0*i. Let b(o) = -o**2 + 6*o - 4. Let g be b(4). Solve i*v + g = 1 for v.
-1
Let s = -36 + 52. Suppose -s = -h - h. Solve -4 = -3*u... | {
"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"
} |
our dps.
0.0007
Let w = 121710 - 122239.57. Let u = w - -518.5752. Let v = u + 11. What is v rounded to three dps?
0.005
Let d = -1.32 + 1. Let k = d - -32.32. Let s = -31.99896 + k. What is s rounded to 4 dps?
0.001
Let v = -8070948520.00034 - -8070703574. Let k = 244965 + v. Let c = k - 19. What is c rounded to 4 dps... | {
"pile_set_name": "DM Mathematics"
} |
?
-90
Let i(g) = -122000*g. Let r(x) = -4*x**2 - x. Let f be r(-2). Let c = f + 9. Let m be i(c). What is m rounded to the nearest 100000?
600000
Suppose 0*w - 6984 = 2*x - 3*w, 0 = -4*w - 8. Let p = x + -5505. Round p to the nearest 1000.
-9000
Let u = -594.27 - -594.4700008. Let a = 0.1 - -0.1. Let n = a - u. What is... | {
"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"
} |
fferentiate y(r) wrt r.
16*r**3 + 9*r**2
Let m(c) be the first derivative of c**3 + 0*c + 168 + 169/6*c**6 + 0*c**5 + 0*c**2 + 0*c**4. Find the third derivative of m(r) wrt r.
10140*r**2
Let h(j) be the third derivative of 1/24*j**4 + 0*j + 53/40*j**6 + 152*j**2 + 1 + 61/60*j**5 + 0*j**3. Find the third derivative of h... | {
"pile_set_name": "DM Mathematics"
} |
f 3/2*r**4 + 0*r + 0*r**3 + n*r**2 + 1. Find the second derivative of q(g) wrt g.
36*g
Let t(k) = -881*k**2 - 2*k + 39. Let p(n) = -882*n**2 - 3*n + 28. Let v(x) = 4*p(x) - 3*t(x). What is the second derivative of v(y) wrt y?
-1770
Suppose 171*i - 152*i = 0. Let x(s) be the second derivative of 0 + i*s**2 - 2*s - 11/12... | {
"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"
} |
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"
} |
+ 3*g + 1. Let n(m) = 4*i(m) + q(m). Let o be n(1). Which is the biggest value? (a) o (b) 1 (c) 1/6
a
Let t = 2 - 0.1. Let r = 2.9 + -3. Let m = t - r. Which is the smallest value? (a) 1 (b) -4 (c) m
b
Suppose 5*m = -5 + 5. Which is the fourth biggest value? (a) 0.3 (b) 1 (c) m (d) 4
c
Let b = -146 + 145.9. L... | {
"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"
} |
1, s, g
Let c = 142.61 - 142. Let t = c - 0.01. Let r = t + -0.5. Sort 1, r, -2/17 in descending order.
1, r, -2/17
Let s = -3 - 4. Let u = 5 + s. Sort u, 3/7, 5.
u, 3/7, 5
Suppose -w + 6*w = 40. Suppose 4*r - 16 - 1 = 3*a, -2*a + r = w. Suppose -o - 3 - 4 = -5*d, 5*o = 4*d - 14. Put a, o, 3 in decreasing order.
3, o, ... | {
"pile_set_name": "DM Mathematics"
} |
Let u(r) = r**3 + 15*r**2 + r + 18. Let i be u(-15). Suppose i*k - 86 = -23. Suppose 2*c = -0*m - m + 9, 0 = -3*c - 3*m + k. Solve 0*g - 2*g = c for g.
-1
Let i(a) = -183*a + 1481. Let s be i(8). Solve 46*f = -s*f for f.
0
Let q = -15090 - -15096. Solve -46 = 13*p + q for p.
-4
Suppose -20*i - 31 + 112 + 159 = 0. Solv... | {
"pile_set_name": "DM Mathematics"
} |
(f - 1)*(f + 222316)
Let 2*k**5/3 - 58*k**4/3 - 496*k**3/3 - 104*k**2 + 288*k = 0. Calculate k.
-6, -2, 0, 1, 36
Determine i so that -5*i**3 - 8040*i**2 + 8055*i + 16090 = 0.
-1609, -1, 2
Let -16*u**4 - 212*u**3 + 1884*u**2 + 2612*u + 532 = 0. What is u?
-19, -1, -1/4, 7
Factor j**3 - 1949*j**2 - 9854*j + 164136.
(j - ... | {
"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"
} |
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"
} |
se 0*m = 4*m. Suppose 14 = -z + 3*c, -2*z + m*c = 4*c - 22. Determine o*r(i) + z*n(i).
i - 2
Let k be 4*3/(-18)*-3. Let h(j) = k + 3 - 3 - j. Let y(c) = -4*c + 9 - 1 + 0*c. Calculate 9*h(z) - 2*y(z).
-z + 2
Let y(k) = -3*k**3 - 7*k**2 - 10*k. Let o(s) = -s**3 - 3*s**2 - 5*s. Calculate -7*o(t) + 3*y(t).
-2*t**3 + 5*t
Le... | {
"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"
} |
o) = p*a(o) + 12*d(o). Determine t(w(y)).
9*y**4
Let f(z) = 6*z**2. Let a(m) = -4*m + 3*m - 10*m + 0*m. Calculate a(f(o)).
-66*o**2
Let q(u) = -u**2. Let z(c) = -21*c - 21. Let r(i) = -10*i - 10. Let f(g) = -5*r(g) + 2*z(g). Determine q(f(d)).
-64*d**2 - 128*d - 64
Let q(y) = y**2. Let s(v) = -19084*v. Give q(s(f)).
36... | {
"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"
} |
9. Give f(24).
-11
Let g(i) = 7*i**2 + 338*i + 82. What is g(-48)?
-14
Let a(n) = -23*n**2 + 5*n + 4. Give a(-1).
-24
Let c(o) = 49*o + 18. Calculate c(-2).
-80
Let f(o) = -43*o**3 - 224*o**2 - 49*o - 24. Determine f(-5).
-4
Let d(x) = -x**3 + 2*x**2 + 20*x - 23. What is d(-6)?
145
Let g(w) = -69*w**3 + 5*w**2 - 7*w + ... | {
"pile_set_name": "DM Mathematics"
} |
. Determine v(-47).
-3
Let d(r) = -9*r + 580. Give d(63).
13
Let f(p) = -p**2 - 265*p + 2183. Give f(8).
-1
Let c(x) = 10*x**3 + 34*x**2 - 67*x + 15. Determine c(2).
97
Let l(j) = -4342*j + 221450. Determine l(51).
8
Let w(x) = -252*x - 32760. Give w(-130).
0
Let u(t) = -t**3 - 2*t**2 - 33*t - 99. Calculate u(-3).
9
Le... | {
"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"
} |
+ 8. Let a be r(-2). Let s be 144 + 2 + -1 + a. Suppose 4*o = 2*b - 444, s = 2*b - 3*o - 300. What is the hundreds digit of b?
2
Suppose t + 2482 = 2*n, 3728 = 3*n + 3*t - 7*t. Suppose 0 = -9*z - n + 7585. What is the units digit of z?
5
Let s(w) = w**2 - 9*w. Let a be s(9). Suppose 2*x + 6*y = 2*y + 174, -3*x - 4*y +... | {
"pile_set_name": "DM Mathematics"
} |
). Suppose 74 = -v*o + 23. Sort o, 2, g in increasing order.
o, g, 2
Let y = 6732 - 6733. Put y, -235, -2 in decreasing order.
y, -2, -235
Suppose 13*r - 80 = -7 - 8. Let x = -40 + 21. Let h = x - -22. Put h, 2, 1, r in decreasing order.
r, h, 2, 1
Let h = -422.1 - -430.1. Sort 2/5, 45, h in ascending order.
2/5, h, 45... | {
"pile_set_name": "DM Mathematics"
} |
0. Let u = 12 + t. Let p(d) = d**3 - d**2 - d - 3. Give p(u).
-3
Let h(n) = -n**3 + 10*n**2 - 9*n - 10. Let j be 4*2 - 3*8/(-24). Calculate h(j).
-10
Let u be (892/28 - -4) + 1/7. Let g be 24/u - 20/(-6). Let v(w) = w**3 - 3*w**2 - 4*w - 1. What is v(g)?
-1
Let y be 130/35 + 6/21. Let b(t) = t + 2. What is b(y)?
6
Let ... | {
"pile_set_name": "DM Mathematics"
} |
9
Suppose 0 - 50 = -10*l. Suppose l*p - 2*d = 291, -2*p + 58 + 70 = 5*d. Calculate the remainder when p is divided by 10.
9
Let g be 22/33 - 4/6. Suppose g = -57*r + 42*r + 360. Let c = -5 - -10. What is the remainder when r is divided by c?
4
Let a(j) = j - 16. Let d be a(21). Suppose 15*w + d*w - 320 = 0. Calculate ... | {
"pile_set_name": "DM Mathematics"
} |
82174 - 2782174. What is v rounded to the nearest 1000000?
-1000000
Let l = 0.309 - 130.309. Let v = 2.14 - 124.44. Let n = l - v. Round n to zero dps.
-8
Let p = 10 - 8. Suppose -p*l = -l - 130000. Round l to the nearest one hundred thousand.
100000
Let n = 18 - 18.095. What is n rounded to two dps?
-0.1
Let v = 8 + -... | {
"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"
} |
nits digit of (70/(-20))/(w/78)?
3
Let y be (-12 + 4)*(-2 - -1). Let i be (-2 - (-2 - y/(-4))) + 5. Suppose -i*l = 101 - 386. What is the tens digit of l?
9
Suppose 15125 = -2*r + 5*k + 93689, 0 = -k - 8. What is the thousands digit of r?
9
Let k = -860 + 28658. What is the hundreds digit of k?
7
Suppose 6*c + 17714 = ... | {
"pile_set_name": "DM Mathematics"
} |
5*f + 10*l - 8*l = -21. Let b(t) = -10*t**2 - 465*t - 5290. Let p(r) = -5*r**2 - 233*r - 2645. Let w(q) = f*b(q) + 5*p(q). Factor w(y).
5*(y + 23)**2
Determine w, given that -25/4*w**2 + 70*w - 5/4*w**3 + 75 = 0.
-10, -1, 6
Let s(n) be the second derivative of -n**5/60 - 7*n**4/36 + 23*n**3/6 - 39*n**2/2 - 2221*n. Wha... | {
"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"
} |
*a + 7. Let l(v) = -v - 10. Let m be l(-4). Let p(k) = 4*k - 13. Give m*p(t) - 11*z(t).
-2*t + 1
Let w(i) = -2*i**2 + 2. Let m(o) = -3*o**2 + 2. Let a = -21 + 30. Let k = -14 + a. Give k*w(t) + 4*m(t).
-2*t**2 - 2
Let i(k) = -4*k + 3*k + 3 + k + 4*k. Let v(w) = -10*w - 17. Let h(c) = 5*c + 8. Let r(y) = -9*h(y) - 4*v(y... | {
"pile_set_name": "DM Mathematics"
} |
540 = 5*b + 9*k - 10*k. Let c = b + 3537/5. What is the second smallest value in -16, w, c?
w
Let y = -280.9 + 268. What is the second biggest value in 1, y, 0.5?
0.5
Suppose -5*k - 37 + 74 = 2*h, 0 = 4*k + 12. Let w = -0.2 + -0.8. What is the second biggest value in 4, h, w?
4
Let m = 9.1795 + -0.1795. Let s = -10.08 ... | {
"pile_set_name": "DM Mathematics"
} |
(r) be the third derivative of r**2 + 0 + 0*r + 1/24*r**4 - 1/3*r**o + 1/60*r**5. What is u in f(u) = 0?
-2, 1
Suppose 7*y = 4 + 10. Suppose -2*n = -y*b - 10 - 12, -4*n + 2*b + 42 = 0. Factor -12*a**3 + 2*a**4 + n + 16*a**2 + 12*a - 11 - 17.
2*(a - 3)**2*(a - 1)*(a + 1)
Let y = 3440/3 + -24071/21. Let f(t) be the first... | {
"pile_set_name": "DM Mathematics"
} |
j**3 + j**2 + 2
Let a(c) = 2*c + 2. Let n(q) = q - 1 + 1 + 1. Suppose -3*j - j = 8, 2*b + 4 = 2*j. Let g(h) = -h**2 - 5*h + 2. Let o be g(b). Calculate o*n(t) - 2*a(t).
2*t + 2
Let y(l) = -2*l**3 + 2*l**2 - 9. Let q(i) = 5 + 15*i**2 + i**3 + i**2 - 17*i**2. What is -11*q(f) - 6*y(f)?
f**3 - f**2 - 1
Let q(t) = -2*t**3 ... | {
"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"
} |
a(h) = -h**3 - 11*h**2 - 14*h - 2. Determine a(-10).
38
Let l(f) = -f**2 + 10*f + 4. Calculate l(8).
20
Let j(r) = 49*r + 838. Determine j(-17).
5
Let c(k) = k**3 + 4*k**2 - 9*k - 3. What is c(-7)?
-87
Let h(q) = 5*q**2 - 6. Give h(4).
74
Let v(u) = -u**3 + 13*u**2 + 4*u - 40. Calculate v(13).
12
Let l(q) = 2*q**2 + 6*... | {
"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"
} |
u(d).
-6
Let h(y) = 4*y - 1. Let w(i) = 4*i - 1. Suppose 3*b - 4 = 11. Let p(a) = b*h(a) - 6*w(a). What is p(-2)?
9
Let v(g) be the second derivative of g**3/6 - 3*g**2 + 3*g. Determine v(5).
-1
Suppose -4*v + 3*v = -2. Let c(y) = -y**3 - y. Determine c(v).
-10
Let r(q) be the third derivative of q**8/6720 + q**7/420 ... | {
"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"
} |
t t(l) = -2*l**2 + 8. Let z(b) = 3*q(b) - 5*t(b). Differentiate z(u) wrt u.
-4*u
Let i(b) = -19*b**5 - 8*b**4 + 8*b**2 + 6*b. Let h(l) = -6*l**5 - 3*l**4 + 3*l**2 + 2*l. Let t(c) = -8*h(c) + 3*i(c). Find the second derivative of t(z) wrt z.
-180*z**3
Suppose 8*i - 3*i = -5*p + 10, i - p - 2 = 0. Let s(o) be the first d... | {
"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"
} |
-z**5/15 - 6*z**2. Let g(r) be the third derivative of 5*r**4/8 + r**2 - 40*r. Determine g(t(n)).
-60*n**2
Let f(a) = -4*a - 7*a + 9*a. Let y(c) = 3532 - c**2 - 3*c**2 - 3542 + 2*c**2. What is y(f(v))?
-8*v**2 - 10
Let t(z) = 3*z**2 + 3. Let k(c) = -1. Let j(d) = 3*k(d) + t(d). Let p(r) = 33*r**2 + 24*r**2 - 53*r**2. ... | {
"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"
} |
j(h)?
4
Let t = -2306 + 4247. What is the tens digit of t?
4
Suppose 3*d + y = 519, -d - 3*d - 2*y = -690. What is the hundreds digit of d - (4 + -5 + 2)?
1
Let p(a) = -a**3 + 4*a**2 + 6*a - 4. Suppose f - d = -4*d + 35, 0 = 3*f - 4*d - 40. Suppose f = 6*n - n. What is the units digit of p(n)?
0
Suppose -13*z - 5*z = -... | {
"pile_set_name": "DM Mathematics"
} |
t x = n + -14. What is the second derivative of -k**3 + k**3 + 21*k**4 - x*k - 17*k**4 wrt k?
48*k**2
Let x(z) be the second derivative of -1919*z**6/30 + 319*z**3/6 - 11*z**2/2 - 5259*z. What is the second derivative of x(q) wrt q?
-23028*q**2
Suppose 5*c - 50 = 3*i, 1 + 11 = c - i. Find the second derivative of -x**3... | {
"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"
} |
11*g**2. Let b(h) be the first derivative of r(h). Give q(b(y)).
3200*y**4
Let b(q) = 2363*q. Let r(u) = 87*u**2 + 3. Let a(p) = -115*p**2 - 4. Let t(g) = -3*a(g) - 4*r(g). Determine b(t(m)).
-7089*m**2
Let u(n) = -11524*n**2. Let d(l) = 873*l. Calculate u(d(f)).
-8782774596*f**2
Let l(f) be the first derivative of 7*f... | {
"pile_set_name": "DM Mathematics"
} |
hat is k?
0, 2, 35
Determine r so that 3*r**3/4 - 33*r**2/4 + 93*r/4 - 63/4 = 0.
1, 3, 7
Let -3*r**4/11 - 58*r**3/11 - 316*r**2/11 - 342*r/11 - 81/11 = 0. What is r?
-9, -1, -1/3
Let -2*g**5/7 - 10*g**4/7 + 12*g**3/7 = 0. Calculate g.
-6, 0, 1
Factor c**2 - c - 6.
(c - 3)*(c + 2)
Determine y, given that 6*y**4 - 44*y**... | {
"pile_set_name": "DM Mathematics"
} |
18
Let q(n) = -n**3 + 7*n**2 + 6*n - 5. Suppose 11*y = 16*y - 25. Let u be q(y). Calculate the highest common factor of 25 and u.
25
Suppose -3*v - 38 = 1. Let f = v + 28. Suppose 8*d + 105 = f*d. What is the highest common divisor of d and 30?
15
Let b be 285 + 4 + (-14 - -21). What is the highest common factor of b ... | {
"pile_set_name": "DM Mathematics"
} |
).
k*(k - 3)*(k - 1)*(k + 1)
Let l(g) = -g**2. Let w(v) = -v**3 + 3*v**2 + 5*v + 2 - 5*v**2 + 0 + 2*v**3. Let b(a) = 6*l(a) - w(a). Factor b(y).
-(y + 1)**2*(y + 2)
Determine j, given that -9/2*j**4 + 0 + 5/2*j**2 - 1/2*j - 3/2*j**3 = 0.
-1, 0, 1/3
Let y(b) be the second derivative of 0 + 2/3*b**3 + 3*b + 1/60*b**5 + b... | {
"pile_set_name": "DM Mathematics"
} |
ivisor of c and 110?
22
Let m = 78 + 26. Let h = m - 94. Calculate the greatest common divisor of h and 50.
10
Suppose l - 658 = -3*z, z + 10*l - 5*l = 210. Calculate the greatest common factor of 20 and z.
20
Let m(r) = -17*r + 34. Let d be m(-6). What is the highest common divisor of d and 24?
8
Let o(d) = -5*d**2 - ... | {
"pile_set_name": "DM Mathematics"
} |
/8. Let w = r + 13. Calculate the remainder when z(2) is divided by w.
1
Let o = -28 - -47. What is the remainder when 56 is divided by o?
18
Let j = -39 + 70. What is the remainder when 121 is divided by j?
28
Suppose 0*a = -5*a + 20, 0 = -4*l + 4*a + 16. Calculate the remainder when 21 is divided by l.
5
Let o be ((-... | {
"pile_set_name": "DM Mathematics"
} |
on multiple of o and 7?
56
Let c = 887 + 3961. Calculate the least common multiple of c and 16.
4848
Let x = 2123/40 - 523/8. Calculate the common denominator of x and -71/10.
10
Suppose -5*m + 21 + 14 = 0. Let i be m/2 + 18/36. Suppose -i*n - 2*r + 63 + 45 = 0, -n = -3*r - 34. What is the least common multiple of n an... | {
"pile_set_name": "DM Mathematics"
} |
ve h(b(u)).
-u**4
Let f(x) = -5*x**2. Let c(u) be the first derivative of 2*u**2 - 74. Give c(f(v)).
-20*v**2
Let b(i) = -5 - 5 - 312*i + 10. Let k(q) = -2*q**2. Calculate k(b(j)).
-194688*j**2
Let l(y) be the third derivative of -16*y**5/15 - y**3/3 + 413*y**2 + 2*y. Let x(u) = -7*u. What is x(l(q))?
448*q**2 + 14
Let... | {
"pile_set_name": "DM Mathematics"
} |
derivative of v(y) wrt y?
-66*y
Let r(u) be the third derivative of u**8/56 - u**5/12 - 5*u**2. Find the third derivative of r(d) wrt d.
360*d**2
Let b(h) = 2*h**2 + 43*h + 88. Let z(f) = f**2 + 22*f + 44. Let p(s) = -3*b(s) + 5*z(s). Differentiate p(u) wrt u.
-2*u - 19
Find the second derivative of -10*c**2 - 12*c + ... | {
"pile_set_name": "DM Mathematics"
} |
) = -4*k**2 - 2*k - 2*k + 4*k. Let s(c) be the second derivative of -1/12*c**4 + 0 + 0*c**3 - 17*c + 0*c**2. Give s(p(x)).
-16*x**4
Let c(q) = -1375*q - 34*q - 78*q. Let l(u) = 2*u. Calculate c(l(v)).
-2974*v
Let l(u) = u**2 + u + 1. Let n(w) = 5*w + 0*w - 6 + 3*w - 14*w. Let q(g) = -6*l(g) - n(g). Let i(c) = c**2. Cal... | {
"pile_set_name": "DM Mathematics"
} |
8/14)/((-12)/(-42)). Let f be (x - 0 - 1)*-5. Let q(i) = i**2 - 6. Is q(f) a prime number?
True
Let d(m) = -4*m + 12. Let i be d(8). Let j be (-10564)/i - 2/10. Suppose -j = -4*r - 148. Is r a composite number?
True
Let f = -4 + 9. Suppose 18 = f*g + 8. Suppose 0 = 3*i + m - 6, m + 3 = g*i + 2*m. Is i a composite numbe... | {
"pile_set_name": "DM Mathematics"
} |
*p**2 + 3*p + 39. Calculate the remainder when m(c) is divided by 7.
4
Let r(o) = 14*o - 177. Calculate the remainder when r(16) is divided by 12.
11
Calculate the remainder when (6/24)/(1/104) is divided by 21.
5
Suppose 9*v + 10 = 4*v. Let t(n) be the second derivative of n**4/3 - 5*n**3/6 - n**2 + 2*n. What is the r... | {
"pile_set_name": "DM Mathematics"
} |
**2. Let t be m(8). Is (81 - t) + (-1 - 1) composite?
False
Let j(z) = -z**3 - 8*z**2 - 9*z + 7. Suppose 2*m + 0*r = -5*r - 9, 3*r = 3. Is j(m) prime?
False
Let k(b) = 6*b**2 - 51*b + 34. Is k(-23) a composite number?
True
Let v(t) = t - 1. Let q be v(6). Suppose 3*a - d + 6*d - 72 = 0, 0 = -5*a + q*d + 80. Is a a comp... | {
"pile_set_name": "DM Mathematics"
} |
(9/(-20)). Is d <= -3?
False
Let x(n) = -2*n + 1. Let t be x(-2). Suppose -d - 4*v = t, -v - 6 = d + 4*v. Let b = d + 2. Are 0.03 and b non-equal?
True
Let a = 47/84 - -4/21. Let l = 32 - 31. Is a greater than or equal to l?
False
Let x = -11.5 - 36.5. Let b = x - -49.9. Let w = -2 + b. Which is smaller: -0.4 or w?
-0.... | {
"pile_set_name": "DM Mathematics"
} |
v a multiple of 24?
True
Let h = 68 - -4. Let d = h + -2. Is 5 a factor of d?
True
Let p(d) = -2*d**2 - 3*d + 2. Let h be p(0). Suppose -h*a = -7*a + 285. Is a a multiple of 4?
False
Let p(f) = -2*f + 10*f**2 + f**3 + 9*f - 19*f - 11. Is p(-10) a multiple of 24?
False
Let o = 58 - 4. Suppose -57*w + 540 = -o*w. Does 1... | {
"pile_set_name": "DM Mathematics"
} |
. Give 7*o(y) + 2*w(y).
y**3 - y
Suppose 5*r - 3*y + 27 = 0, 2*r + 4*y + 9 = 7*y. Let o(w) = 4*w**3 + w - 3. Let m(q) = 3*q**3 - 2. Calculate r*m(t) + 4*o(t).
-2*t**3 + 4*t
Let o(g) = 2*g**2 + g + 2. Suppose -1 = -2*x + 1. Let p = x - -1. Let z(m) = -1 + 0*m**p + m**2 - 2*m**2. Give 2*o(u) + 6*z(u).
-2*u**2 + 2*u - 2
L... | {
"pile_set_name": "DM Mathematics"
} |
(h) = -3*h**2 + 15*h + 6. Let w(f) = 3*g(f) - 2*l(f). What are the prime factors of w(17)?
2, 3
Let c = 4 - -8. Suppose 0 = f - 16 - c. Let g = 39 - f. What are the prime factors of g?
11
Let l(z) = z**3 - 11*z**2 - z + 13. Let u be l(11). Let g be 1 + -1 + (40 - u). Suppose 8 = 4*j, 4*f + j = -0*j + g. What are the pr... | {
"pile_set_name": "DM Mathematics"
} |
d(4). Which is the nearest to p? (a) v (b) -2 (c) j
c
Let w = -10 - -10.2. Let s = w + -10.2. Let l = s - -10.2. Which is the nearest to 2/9? (a) l (b) -4 (c) -1
a
Let h = -3 + 4. Let q be 3 + (-9)/6*2. Which is the nearest to q? (a) h (b) -5/4 (c) 4/3
a
Let w = -1.1 + 5.1. Let j = -13.93 - -14. Let f = -0.13... | {
"pile_set_name": "DM Mathematics"
} |
nd t?
17
Let g be (-4)/2 - 1*10. Let u be (1*9)/(g/(-72)). Calculate the highest common divisor of 6 and u.
6
Let f be ((-34)/8)/(55/(-440)). Calculate the greatest common divisor of f and 374.
34
Suppose v + 5*i = 3*i - 272, v = -3*i - 271. Let p be 36/(-306) - v/17. What is the highest common divisor of 40 and p?
8
S... | {
"pile_set_name": "DM Mathematics"
} |
ppose 53*b - 57*b + 2*u + 620 = 0, -b = -2*u - 161. What is the remainder when 747 is divided by b?
135
Let c = -248 - -422. What is the remainder when (1 - (-4)/(-6))/(2/c) is divided by -1 + 7 + 2/1?
5
Suppose 0 = 146*o - 1549 - 2023 - 516. What is the remainder when 189 is divided by o?
21
Let f = 969 + -846. Calcul... | {
"pile_set_name": "DM Mathematics"
} |
1, 2
Let d(g) be the first derivative of 5*g**3/3 - g + 7. Let n be d(-1). Factor -20*f**5 - 8*f**2 - f**4 + 4*f + 16*f**5 + 9*f**n.
-4*f*(f - 1)**3*(f + 1)
Factor -4/3*n + 0 + 10/3*n**2 + 2/3*n**5 - 2*n**3 - 2/3*n**4.
2*n*(n - 1)**3*(n + 2)/3
Let z(y) be the second derivative of 2*y**7/21 + 2*y**6/15 - 9*y**5/5 - 3*y*... | {
"pile_set_name": "DM Mathematics"
} |
test common factor of i and j?
27
Let h = 15 + -41. Let y be (-273)/h*(-2)/(-3). Calculate the greatest common divisor of y and 77.
7
Suppose 1236 = -2*z + 4*x, -x - 1845 = 3*z + 2*x. Let r be z/(-63) + (-6)/(-27). What is the greatest common divisor of r and 90?
10
Let f(d) = d**2 + 12*d - 18. Let k be f(-14). What is... | {
"pile_set_name": "DM Mathematics"
} |
arest to -2/7? (a) -0.1 (b) z (c) -0.2
c
Suppose -5*m = 0, -2*u - 2*u + 2*m = 0. Let i = -2 + 2. Let q = 1.8 - -0.2. Which is the nearest to i? (a) q (b) 0.2 (c) u
c
Let y = 10 - 10. Let c(r) = r**2 - 4*r + 4. Let n be c(3). Let g be 2/(2 + 16/(-10)). What is the nearest to y in n, g, -0.3?
-0.3
Let w = 10.89 + -... | {
"pile_set_name": "DM Mathematics"
} |
the units digit of s?
8
Let o = 247 - 140. What is the hundreds digit of o?
1
Suppose -m - 560 = -5*q - 6*m, -4*q = -4*m - 472. What is the units digit of q?
5
Suppose 7*g = 4*g + s + 14, -2*g + 3*s = -14. Let t(j) = j - 2. What is the units digit of t(g)?
2
Suppose -6 - 394 = -4*z. What is the tens digit of z?
0
Let ... | {
"pile_set_name": "DM Mathematics"
} |
).
6592*o**2 - 3
Suppose 2*z - 6 + 2 = 0. Let c(s) = z*s + 5*s - 13*s + 5*s. Let n(k) be the third derivative of -k**5/3 - 3*k**2. Give c(n(f)).
20*f**2
Let p(k) = 2*k**2. Let u(n) = 14979665*n**2. Calculate p(u(v)).
448780727024450*v**4
Let i(b) = 25380*b**2 + 5922*b + 658. Let f(t) = -193*t**2 - 45*t - 5. Let x(p) = ... | {
"pile_set_name": "DM Mathematics"
} |
) 0.4 (c) -2/7 (d) 1/4
a
Suppose -3 = m + 2*v, 5*m + 25 = 2*m - 2*v. Let p = 2.41 + -2.11. Which is the closest to p? (a) m (b) 1 (c) -2/3 (d) 3
b
Suppose -19*y + 17*y = 508. Let d be (2/12*-1)/((-1)/y). Let z = d - -42. Which is the closest to z? (a) -0.4 (b) 11/5 (c) -5
a
Let n = -3611/2410 - 2/1205. What is... | {
"pile_set_name": "DM Mathematics"
} |
-28307.2 - -28307. Let l = 0.2 + -0.3. What is the third smallest value in 0.3, 0.9, u, l?
0.3
Let s = -4744 - -4745.2. Let m = 0.54 - 0.04. Which is the second biggest value? (a) m (b) s (c) -0.1 (d) -4
a
Let u = 57.812 - 58.212. Let w be 6 - 0 - (-2)/(-2). Let l be (-10)/6*2/w. What is the fourth biggest value i... | {
"pile_set_name": "DM Mathematics"
} |
creasing order.
-4, r, 0.1, 1/5
Let l = 9 + 64. Let w = l + -76. Sort -20, w, 1/2.
-20, w, 1/2
Suppose 8*v + 24 = 4*v. Let u be (3 - 1)*v/20. Suppose -4*f + 4 = -0*f. Put f, 0.2, u in increasing order.
u, 0.2, f
Suppose 0 = -p + 2, 4*h + 64 = -5*p + 3*p. Let s = -14 - h. Put 5, 1, s in descending order.
5, s, 1
Let r =... | {
"pile_set_name": "DM Mathematics"
} |
n + 135. Let k(z) = 5*a(z) - 2*d(z). Determine w so that k(w) = 0.
-1, 43
Let n(v) = 5*v**2 + 1426*v + 576. Let p(y) = -18*y**2 - 4276*y - 1728. Let t(m) = 16*n(m) + 5*p(m). Factor t(c).
-2*(c - 144)*(5*c + 2)
Let j(l) = -4*l**3 + 29*l**2 + 36*l + 6. Let a(x) = -20*x**3 + 148*x**2 + 184*x + 32. Let w(h) = 3*a(h) - 16*j... | {
"pile_set_name": "DM Mathematics"
} |
e -8*u = -u + 483. Let s = u + -12. Let o = -66 - s. Solve 0*m + o = -5*m for m.
-3
Let w(j) = 94 - 41*j**2 + 12*j**2 + 5*j - 90. Let o be w(-1). Let r = o - -33. Solve 5 = -2*z - r*z for z.
-1
Let t be 102/30 - (2 - 24/15). Let i(l) = 3*l + 2*l - 5 - t*l**2 - 2*l**2 + l**2 + 2*l**3. Let g be i(2). Solve -4 = -g*x + x ... | {
"pile_set_name": "DM Mathematics"
} |
*p + 12. Solve -t - 1 = -w for t.
2
Let q be 148/12 - (-1)/(-3). Let z = q + -7. Solve 0 = -z*b - 0*b for b.
0
Suppose -6 = -5*r + v, 1 = -4*r - 6*v + v. Suppose a + 2 = -4*b, 0*a - 5*a - 5*b + 20 = 0. Solve r = y + a for y.
-5
Let f be (-1 + 1)/(0 - 1). Suppose f = -a - a. Solve 0 = w - 5 - a for w.
5
Suppose 0 = -3*n... | {
"pile_set_name": "DM Mathematics"
} |
s digit of a?
8
Let x(c) = c**2 + 34*c + 206. What is the units digit of x(-29)?
1
Let f be (2536/16)/(2/4). Suppose 5*a - 315 = -5*v, -4*a = -4*v + f - 97. Let q = 37 + v. What is the tens digit of q?
9
Suppose -k - 4 = -x, 20 = 5*x + k - 4*k. What is the hundreds digit of 740/x + 2 - -3?
1
Let y(r) = 32*r**2 + r + 6 ... | {
"pile_set_name": "DM Mathematics"
} |
) = 2*u - 9. Let c be w(7). Suppose -h + 2*h + c = 0, -24 = -a + 4*h. What are the prime factors of a?
2
Let s be -3 - -3 - 5*1. Let h be 3/s + (-23)/(-5). Suppose h*i + i = 35. List the prime factors of i.
7
Suppose -u - 3*u = -20. Suppose -4*s - 17 = 5*z - 5, 0 = u*s + 5*z + 10. What are the prime factors of s?
2
Sup... | {
"pile_set_name": "DM Mathematics"
} |
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