text stringlengths 3.26k 8.19k | meta dict |
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f(r) - z(r).
2*r**2 - 20*r - 1
Suppose -5*h = -a + 14 + 1, -2*a + 5*h + 10 = 0. Let j(q) = -q**3 - 8*q**2 - 2*q + 6. Let w(p) = -p**3 - 7*p**2 - 2*p + 5. Determine a*j(b) + 6*w(b).
-b**3 - 2*b**2 - 2*b
Let x(i) = i**3 - i + 1. Let l(b) be the first derivative of 9*b**2/2 + 95*b + 41. Let p be l(-11). Let j(z) = 5*z**3 ... | {
"pile_set_name": "DM Mathematics"
} |
3. Let k(f) = 16*l(f) + 3*z(f). What is k(s(d))?
-8*d**4
Let w(q) be the third derivative of q**5/60 - 11*q**2. Let a(x) = -12*x. Let m(n) = 25*n. Let v(u) = 13*a(u) + 6*m(u). What is w(v(s))?
36*s**2
Suppose -3 = -3*y + 15. Let o(d) = -d - d + y*d. Let i(w) = 2*w**2. Calculate o(i(g)).
8*g**2
Let m(c) = 5*c. Let h = ... | {
"pile_set_name": "DM Mathematics"
} |
= 5 + 0. Suppose 3*p = 5*x - 4, 2*x = 3*x + h*p - 12. Determine g(x).
-5
Let t(a) = a**3 - 8*a**2 + 3. Let b be t(8). Let k(f) = -7 + 10 - 4*f**b + 5*f**3 - f. Determine k(0).
3
Let a(d) = d**2 + 3*d - 14. Let z(w) = 2. Let l(n) = a(n) + 3*z(n). Calculate l(-6).
10
Let y = 21 - 19. Let s be (y - 4/2)/(-1). Let u(i) = ... | {
"pile_set_name": "DM Mathematics"
} |
irst derivative of -2*p**2 - a*p**4 + 2*p**2 - 5 + 196*p**4 wrt p.
-36*p**3
Suppose -3*z = -51 - 6. Suppose z = w + 5*m, m + 0*m - 7 = -w. What is the second derivative of 6*c**4 + 5*c**5 + c - 6*c**w wrt c?
100*c**3
Let j(u) = -20*u**4 - 8*u**3 - 6*u - 1. Let v(r) = -39*r**4 - 15*r**3 - 12*r - 1. Let s(h) = 11*j(h) - ... | {
"pile_set_name": "DM Mathematics"
} |
46. Let p be 4/(-14) - w/35. What is the tens digit of -4 + p + 49 - 0?
5
Suppose 261*b = 217*b + 225016. What is the thousands digit of b?
5
Suppose 0 = 4*c - 7*c. Suppose z - 39 = -5*q, -5*z + q + 65 = -0*q. Suppose c = x + 13 - z. What is the units digit of x?
1
Suppose -43656 - 81896 = -38*x. What is the tens digit... | {
"pile_set_name": "DM Mathematics"
} |
75?
25
Suppose 4*j - 470 = -5*a, 2*j - 224 + 34 = 5*a. Suppose 3*n - 5*n + 88 = 0. What is the greatest common divisor of n and j?
22
Let v(i) = i**2 - 3*i - 9. Let u be v(5). Let p(f) = 14*f + 2. Let l be p(u). Calculate the highest common divisor of l and 176.
16
Suppose -2*r + 0*r - 10 = 0, -4*r = -2*s + 32. Let v =... | {
"pile_set_name": "DM Mathematics"
} |
3*g + 4*n = 0. Is 10 a factor of j(g)?
False
Let b(w) = 4*w**2 + w. Suppose 3*a = a - 4*p - 28, -2*p = -5*a - 10. Is b(a) a multiple of 15?
True
Let o(w) = w + 1. Let y(z) = 32*z + 3. Let t(a) = 5*o(a) - y(a). Let x be t(-2). Suppose 0*p = -2*p + x. Is p a multiple of 14?
True
Let f = 6 - 3. Suppose -26 = 2*g - 3*q, f*... | {
"pile_set_name": "DM Mathematics"
} |
third derivative of 8*r**2 - 132*r**4 - w*r**4 + 266*r**4 + 49*r**5 - 2*r wrt r?
2940*r**2
What is the third derivative of -1101*j + 1379*j**4 + 2212*j - 1075*j - 70*j**2 wrt j?
33096*j
Let g(d) be the second derivative of 299*d**6/6 + 3745*d**2/2 + 2091*d. What is the derivative of g(i) wrt i?
5980*i**3
Let l(a) = -67... | {
"pile_set_name": "DM Mathematics"
} |
n.
-1
Suppose 0 = 2*n - 4, -f - 3*n = 4*f - 21. Suppose -x = -5*c + 37, 3*x - x + 18 = f*c. Let u = 65 - 63. Solve -u*v + 0*v - c = 0 for v.
-4
Let c = -3 + 3. Suppose -o - 5*g - 20 = -3*o, 5*o - 4*g - 33 = 0. Suppose o*y = 8*y - 12. Solve c + 8 = -y*h for h.
-2
Let g(h) be the first derivative of -3/2*h**2 + 3*h - 1/... | {
"pile_set_name": "DM Mathematics"
} |
-121)/6 + o)/3.
144
Suppose 0 = q - 4*q - 5*y + 5, 5*y = -2*q + 10. What is the common denominator of q and (-74)/(-22) + (-2 - 1)?
11
Let z(p) = -p**3 - 2*p**2 + 2*p + 1. Let v be z(-2). Let d be (-16)/(-4) + v - 73. What is the common denominator of ((-834)/d)/((-2)/(-4)) and 7?
6
Let q(t) = -t**2 + 9*t - 12. Suppose... | {
"pile_set_name": "DM Mathematics"
} |
13
Let s = -331 + 330. Calculate the remainder when 151 is divided by (13 + -25)*(s + -5) - -5.
74
Let i(v) be the third derivative of -v**4/24 + 20*v**3 - 16*v**2 + 2*v. What is the remainder when i(-24) is divided by 29?
28
Suppose 32960 = 689*n - 29739. Suppose 5*v - v = 0. Calculate the remainder when n is divided... | {
"pile_set_name": "DM Mathematics"
} |
) + 3*i(v). Factor k(a).
3*(a + 1)*(a + 8)
Let w = -3344185/11 + 304017. Solve w*m**2 - 10/11*m + 8/11 = 0 for m.
1, 4
Suppose 5*o + q + 178 - 64 = 0, 88 = -4*o - 4*q. Let l be 32 + o + 2*-3. Suppose 10/9*k**4 - 8/9 - 2/9*k**5 - 2/9*k**2 - 14/9*k**l + 16/9*k = 0. What is k?
-1, 1, 2
Let i(r) be the second derivative of... | {
"pile_set_name": "DM Mathematics"
} |
. Let v(m) be the third derivative of m**4/6 - 25*m**2. Determine s(v(j)).
-160*j**2
Let k(d) = -4*d**2. Let p(y) = -3*y**2. Let t(u) = -6*k(u) + 7*p(u). Let l(q) = 7*q. What is t(l(j))?
147*j**2
Let y(c) = c. Let r(h) = 12*h. Let d(v) = -2*r(v) + 27*y(v). Let m(u) = -3*u**2. Calculate d(m(o)).
-9*o**2
Let l(w) be the ... | {
"pile_set_name": "DM Mathematics"
} |
*f - 360. Let z = -1 - -10. What is the greatest common factor of z and f?
9
Let x(k) = 10*k - 2. Let n be x(4). Calculate the greatest common divisor of n and 19.
19
Let v(s) = -12*s + 2. Let x be v(-2). What is the greatest common divisor of x and 13?
13
Let j(m) = 4*m**2 - 2*m + 3. Let r be j(2). What is the greates... | {
"pile_set_name": "DM Mathematics"
} |
) + 7*q(f).
-f
Let n(t) = -1. Let c(l) = -2*l + 17. Give -c(r) - 4*n(r).
2*r - 13
Suppose -4*b + 17 = 2*p - 3, -3*b - 3*p = -12. Let w(k) = 8*k**2 + 1 + b + 8*k + 5. Let r(d) = d**2 - 3*d + 1 + 4*d + 0. What is 10*r(t) - w(t)?
2*t**2 + 2*t - 2
Suppose -5*p + 0*p = 5. Let f(d) = -3*d**2 + 0*d**3 + 3 + 4*d - d + 4*d**3. ... | {
"pile_set_name": "DM Mathematics"
} |
/2*o**2 + 873/2*o - 1269/2 = 0.
3, 47
Let f(c) be the second derivative of c**6/120 + 11*c**5/2 + 16133*c**4/16 - 55*c**3/3 - 6050*c**2 - 389*c - 3. Factor f(q).
(q - 1)*(q + 1)*(q + 220)**2/4
Let r = -27723/4 + 6932. Let b(z) be the first derivative of -r*z**2 + 2*z + 27 - 1/4*z**3. What is y in b(y) = 0?
-4, 2/3
Let ... | {
"pile_set_name": "DM Mathematics"
} |
t d(l) = l - 1. Let t(b) = -3*d(b) + g(b). Let p(z) = -5*t(z) - 3*u(z). What is the units digit of p(6)?
7
Let t(j) = 2*j**2 - 2*j + 3. What is the tens digit of t(3)?
1
What is the tens digit of 44 - (3 + -7 - -8)?
4
What is the units digit of ((-42)/(-18))/(1/6)?
4
Suppose 16 - 48 = 4*l. Let i = -3 - l. What is the u... | {
"pile_set_name": "DM Mathematics"
} |
Let r = 4482.9 - 4946. Let s = 828 + -338. Let g = r + s. Round g to the nearest integer.
27
Let p = -1630229939206.000000561 - -1630229938334. Let q = -872 - p. Round q to seven decimal places.
0.0000006
Let z = 6.01 - 1.11. Let c = -4 + z. Let l = 0.76 - c. Round l to one dp.
-0.1
Let d = 39978.9999935111 - 39979. Ro... | {
"pile_set_name": "DM Mathematics"
} |
4*x - 50. Determine q(7).
-78
Let t(a) = -18*a - 187. What is t(-14)?
65
Let g(b) = -b**2 - 2472*b - 9852. Determine g(-4).
20
Let u(o) = 2*o**3 + 368*o**2 - 2285*o + 27. Determine u(6).
-3
Let y(m) = -55*m**2 + 313*m + 110. Calculate y(6).
8
Let p(d) = 3*d**3 + 37*d**2 - 30*d - 30. Calculate p(-13).
22
Let t(m) = 49*m... | {
"pile_set_name": "DM Mathematics"
} |
q a multiple of 32?
True
Let w(c) = -152*c - 10. Let n be w(5). Is 32 a factor of (-3)/9*(2 + n)?
True
Let x(g) = -g**2 - 20*g - 54. Let h be x(-17). Is ((-3)/(-9))/(h/(-7407))*1 a multiple of 33?
False
Is 34072*(-33)/(-24) - -22 a multiple of 11?
True
Let o(y) = 11*y + 88. Let k be o(-17). Let p = k + 187. Is 44 a fa... | {
"pile_set_name": "DM Mathematics"
} |
- w/5. Solve 1 = d - a*q, -4*d + 3*q = -q - 12 for d.
4
Suppose -w = -5*w. Let k(r) = r + 3. Let c be k(-3). Suppose -2*j + 3 + 1 = c. Solve w = -2*p + 2*y + 6, j*p - y - 1 - 7 = 0 for p.
5
Suppose 0*g = 3*g. Suppose 2*d - 21 - 17 = g. Solve -3*v + 0*v = -5*t + d, -4*t = v - 5 for v.
-3
Suppose -r = 3*f + 15 - 3, 4*f +... | {
"pile_set_name": "DM Mathematics"
} |
mon divisor of 7 and p?
7
Let x(r) = r**3 - 3*r**2 + 2*r + 4. Let n be x(3). Calculate the greatest common divisor of n and 2.
2
Let y be (-20 - 24)*(1 + 0)/(-1). Calculate the greatest common divisor of y and 22.
22
Suppose f - 6*f = -5*t + 60, 5*t - 4*f = 60. Let v = 17 - t. Calculate the greatest common divisor of 2... | {
"pile_set_name": "DM Mathematics"
} |
re the prime factors of r?
3
Suppose 5*o + 214 = 2*x, -o + 591 = 5*x + 83. What are the prime factors of x?
2, 3, 17
Suppose 0 = -3*t + 112 - 7. Suppose -k + 4 = -5*h + t, -h - k = -11. Let q(j) = -j**2 + 8*j + 6. What are the prime factors of q(h)?
13
Suppose 0 = 5*x + 5*a - 655, 5*x + 6*a - 640 = 4*a. What are the pr... | {
"pile_set_name": "DM Mathematics"
} |
is the closest to -12? (a) 3/4 (b) -1/6 (c) x (d) 5
c
Let k = -335 - -335.4. Which is the closest to -0.4? (a) k (b) 0 (c) 1/9
b
Let r be (1/9)/((-16)/(-72)). Let k = -6 - -40/7. Which is the closest to -24? (a) r (b) -0.2 (c) k
c
Let o be (9/4 - 1) + -1. Let l = -23.1 + 23.5. Let c = 143/2 - 70. What is the... | {
"pile_set_name": "DM Mathematics"
} |
ven dps?
0.0000003
Suppose 74*q + 4200000 = 76*q. Suppose 11*v = 6*v + q. What is v rounded to the nearest 100000?
400000
Suppose -9*q + 48600 = -q. Suppose 2*c + 3525 + q = 0. Round c to the nearest one thousand.
-5000
Let n(w) be the first derivative of w**4/4 - 5*w**3/3 - 3*w**2 + 6*w - 3. Let s be n(6). Suppose 2*b... | {
"pile_set_name": "DM Mathematics"
} |
of 3*k**4/2 - 2*k - 3. Differentiate q(n) with respect to n.
18*n**2
Suppose 3 = 3*h - 3*z, -z - 11 = -4*h - 4*z. Find the second derivative of -5*v + h*v + 4*v - 2*v**3 wrt v.
-12*v
What is the third derivative of -7*l**3 - l**2 + 14*l**2 + 7*l**3 - 17*l**4 wrt l?
-408*l
Let m(a) = -7*a + 22. Let d(y) = -4*y + 11. Let... | {
"pile_set_name": "DM Mathematics"
} |
- 165*m**2 - 39*m = 0. What is m?
-3/19
Factor 54/5*p**2 + 4/15*p**5 + 24*p**3 + 0 + 74/15*p**4 + 0*p.
2*p**2*(p + 9)**2*(2*p + 1)/15
Let h(c) be the second derivative of -c**5/40 - 7*c**4/36 - 17*c**3/36 - c**2/2 - 136*c. Factor h(t).
-(t + 1)*(t + 3)*(3*t + 2)/6
Let g be 4 + 0*3/6. Suppose 4*b**5 + 5*b**3 + g*b**2 -... | {
"pile_set_name": "DM Mathematics"
} |
2/11 (c) 0.2 (d) k
c
Let v(o) = -4*o + 13. Let l be v(3). Let n(y) = -y**2 + y + 1. Let t be n(l). Let f = -3 - 0. Which is the nearest to -0.1? (a) t (b) -5 (c) f
a
Let c = -11.4 - -11. Let g = c + 3.4. Let f = g - 7. What is the nearest to 1 in -0.4, -2/7, f?
-2/7
Let i = -246 + 247. Let y be ((-23)/(-28))/(1/4... | {
"pile_set_name": "DM Mathematics"
} |
o*h(c) + w*y(c).
c + 2
Let t(h) = h**3 - 3*h**2. Let g(f) be the first derivative of 0*f**2 + 0*f - 4/3*f**3 + 1/4*f**4 + 2. Give 3*g(q) - 4*t(q).
-q**3
Let y(h) = -5*h - 1. Let r(m) = 3*m + 3*m + 3*m + 1. Let g = 11 - 6. Give g*y(w) + 3*r(w).
2*w - 2
Let k(s) = 7*s + 4. Let j(m) = -15*m - 9. Let t(r) = 2*j(r) + 5*k(r)... | {
"pile_set_name": "DM Mathematics"
} |
21
Let i = -154 - -65. Let g = 88.99999965 + i. What is g rounded to seven dps?
-0.0000004
Let i be 1410 - (-6 + 66)/(-10). Round i to the nearest 100.
1400
Let r = 11.3 + -11.364. Round r to two dps.
-0.06
Let a(u) = -2*u**2 - 10*u + 3. Let g be a(-6). Let n be 2 + 1740001 + 6 + g. Round n to the nearest 100000.
17000... | {
"pile_set_name": "DM Mathematics"
} |
6. Let z = g + -0.16. Is o at least as big as z?
True
Let c be (-2)/(-3)*12/(-508). Let t = -365/1016 + c. Which is smaller: t or 0?
t
Let a = 41110248/35 + -1174261. Let v = a + -2084/7. Let j = -20 + v. Which is bigger: j or -1?
j
Suppose -3*j - 37 = -3*y + 2*j, -4*y + 3*j = -31. Let u be (12/(-9))/(y/(-6)). Let n be... | {
"pile_set_name": "DM Mathematics"
} |
14, 0 = 5*i - 3 - 7. Suppose 5*k = -41 + 106. What is the remainder when k is divided by t?
5
Let x(i) = 9*i**2 - 2*i - 3. Suppose 3*a = -a - 16. Let q be (12/15)/(a/10). Calculate the remainder when x(q) is divided by 20.
17
Suppose 24 = -8*t + 2*t. What is the remainder when (-495)/18*(-3)/((-15)/t) is divided by 9?
... | {
"pile_set_name": "DM Mathematics"
} |
) = -4*d**2 - 6*d - d**3 + 4*d**2 + 7*d**o - d**2. Give f(4).
8
Suppose 4*s - f = 3*s - 7, -s = -2*f + 10. Let t(b) = 2*b**2 + 2*b + 4. Let u(o) = -3*o**2 - o - 5. Let r(w) = s*t(w) - 3*u(w). What is r(4)?
-5
Let a(u) = -u**3 - 4*u**2 - 2*u. Suppose 4*y + 3*s - 5 = 1, 0 = 5*y - 4*s - 23. Let l be (-1*0/3)/(16 + -18). S... | {
"pile_set_name": "DM Mathematics"
} |
3*c = -z - h, -c + 1 = -3*z + 2 for c.
2
Suppose -3*f = 4*c - 0*c + 275, -3*c - 3*f - 207 = 0. Let k = -65 - c. Solve -y + 11 = -0*y - 3*t, k*t = 3*y - 15 for y.
2
Let t(r) = r**3 + r + 2. Let p be t(0). Suppose -5*u + 7 = -4*b - 1, 4*b - u - 8 = 0. Solve 0 = -p*y - b*n - 23, -n + 3 = -4*y - 8 for y.
-4
Let m(c) = -c**... | {
"pile_set_name": "DM Mathematics"
} |
*b(o) + 11*s(o). Let q be g(-5). Solve -l - 5*c - 1 = 0, 5*l - q + 8 = -4*c for l.
-1
Let n be 1/((-3)/15) + 9. Solve -f + 15 = 4*f - 5*d, n*f + 4*d = -4 for f.
1
Suppose -3*p + 2*p = 0. Solve -3*y = -4*t - 22, p = 2*t - y - 4*y + 18 for t.
-4
Let w be 5/2*(-6)/(-3). Solve 5*b - 3*m = -12 - 9, 19 = -w*b + 2*m for b.
-3... | {
"pile_set_name": "DM Mathematics"
} |
7*n + 4*l = 32. Let q = n + p. Is q even?
False
Let m be (3/2)/(18/48). Suppose 194 = -m*r + 2*s, -4*r - 3*s - 209 = -0*s. Let u = 105 + r. Is u a multiple of 20?
False
Let k = 83 + 10. Is k a multiple of 9?
False
Let m(s) = s**2 - 7*s + 4. Let k(b) = -b**2 + 12*b - 3. Let u be k(11). Is m(u) a multiple of 6?
True
Let... | {
"pile_set_name": "DM Mathematics"
} |
.
2
Suppose 0 = b - 6*b - 3*z + 25, -3*z = 0. Suppose -2*p = 5*m - 65, 140 = b*p + 2*m + 9. Calculate the remainder when 122 is divided by p.
22
Suppose -536 = 4*f - 572. What is the remainder when f is divided by 1?
0
Let x = 27 - 30. What is the remainder when 41 is divided by 105/9 - (-2)/x?
8
Let g(a) = -2*a + 5. L... | {
"pile_set_name": "DM Mathematics"
} |
-4*k(s) + p(s).
-2*s**2 + s + 150
Let k(v) = 2*v**3 - 2*v**2 + 10*v. Let p(r) be the third derivative of r**6/30 - r**5/12 + 5*r**4/6 - 445*r**2. What is -5*k(o) + 2*p(o)?
-2*o**3 - 10*o
Suppose -x = 1, f - 11*x = -15*x - 2. Let v(r) = -r**3 - r + 1. Let s(l) = l - 1. Determine f*v(a) + 2*s(a).
-2*a**3
Let x(f) = f + 2... | {
"pile_set_name": "DM Mathematics"
} |
ator of -97/364 and (-138)/115*((-237)/27 - -1).
1092
Let j = -12/3289 - -48338/628199. Let f = -1784/1719 - j. Find the common denominator of ((-3)/(-4))/(7/(-48)) and f.
63
Let w be (-1108)/192*1 - -6. Let h = -29/240 - w. Find the common denominator of h and -121/12.
60
Suppose 0 = x - 15*x + 504. Let t(d) = -d + 42... | {
"pile_set_name": "DM Mathematics"
} |
- p*r = 3*r - 20. Is 15 a factor of d?
True
Let d = -5 - 1. Let f = 12 + d. Is 5 a factor of f?
False
Let v(m) = 19*m - 6. Let i be v(6). Suppose 4*a - 12 = i. Is 14 a factor of a?
False
Suppose 0 = 3*l + 4*h + 3 - 13, -3*l + 1 = -5*h. Suppose l*w = 17 + 13. Is w a multiple of 10?
False
Suppose 15 = i - 0*i. Suppose -2... | {
"pile_set_name": "DM Mathematics"
} |
*v + 11 = -2*j + 1, 0 = l*v + 8 for j.
3
Let p(f) = 12*f - 26*f + 7*f + 3*f - 3*f + 136. Let w be p(18). Solve r - 2*t + 2 = 0, -2*t + w = r + 4 for r.
2
Suppose -70*w = 108*w - 40*w. Solve -10*u = -7*u + 2*d + 5, w = -3*d + 15 for u.
-5
Let h be 4*(1/2)/(25/100). Suppose -25*s + 27*s = h. Solve 0 = s*z - 5*b - 13, -1 ... | {
"pile_set_name": "DM Mathematics"
} |
+ 5. Let q be 6/(-12) - o/2. Solve q - 29 = -5*n for n.
5
Let r(z) = 2*z + 2. Let s be 69/15 - 0 - (-8)/20. Let n be r(s). Solve n + 13 = -5*y for y.
-5
Suppose -806 = -3*n - 28*n. Solve -13*y + 0 = -n for y.
2
Suppose z - 3*m - 11 = 0, -m = -2*z - z + 1. Suppose 25*i + 16 + 9 = 0. Let s be i*(z - 1) + 0. Solve 0 = d -... | {
"pile_set_name": "DM Mathematics"
} |
to -1? (a) z (b) -0.1 (c) k
b
Let z = 0.7 - 0.2. Let s = 185.12 - 181. Let x = -0.12 + s. Which is the closest to x? (a) -5 (b) z (c) 2
c
Let r = -10.56 + 6.56. Let f = -1 + 0.9. What is the nearest to f in 5, r, -6/11?
-6/11
Let x = 2.65 - 2.65. What is the closest to 0.2 in -0.1, x, -0.4?
x
Let j be (-64)/36 + ... | {
"pile_set_name": "DM Mathematics"
} |
(4*(-4)/8)/2. Let d = 3/2 + p. Factor -2*o**2 + 3*o**3 - 2*o**4 + d*o + 1/2*o**5 + 0.
o*(o - 1)**4/2
Let m = 20 - 18. Suppose 5*a - 5*j = -10, -3*j - m + 8 = 5*a. Factor a + 4/5*i**3 + 2/5*i**2 + 0*i + 2/5*i**4.
2*i**2*(i + 1)**2/5
Find a, given that 5*a + 10/3 + 5/3*a**2 = 0.
-2, -1
Find n, given that -4/17*n + 6/17*... | {
"pile_set_name": "DM Mathematics"
} |
- 14. Let y = i - 21.7. Which is the third biggest value? (a) 5 (b) -1/3 (c) y
b
Let v = -4 + 5. Let k = -6 + 5. Which is the biggest value? (a) v (b) k (c) -0.1
a
Let b = 8.9 + -9. Let f be (-212)/105 - (-4)/10. Let s = -9/7 - f. What is the smallest value in -5/2, s, b?
-5/2
Let d = 0.14 + 1.26. What is the big... | {
"pile_set_name": "DM Mathematics"
} |
pose 2*g = 5*l + 350, -2*l = l - 3*g + 210. Let r be ((-56)/l)/((-1)/(-10)). Solve 5*c + r = 3 for c.
-1
Let f(v) = -v**2 + v + 2. Let h be f(5). Let d be (0 - h/(-2))*-1. Let z = -81 + 83. Solve -z*n - d = -1 for n.
-4
Suppose 0*h = h - w - 16, -18 = -2*h - 5*w. Solve 7*v - h + 35 = 0 for v.
-3
Let b(u) = -u**3 + 2*u*... | {
"pile_set_name": "DM Mathematics"
} |
+ 77795. Determine n(-272).
3
Let o(i) = -i**2 - 280*i - 17833. Determine o(-98).
3
Let h(w) = 3*w**3 - 45*w**2 - 21*w + 81. What is h(4)?
-531
Let s(c) = 107471*c - 214884. Calculate s(2).
58
Let q(r) = 196*r - 5864. Determine q(20).
-1944
Let d(b) = -b**2 - 151*b - 5618. Calculate d(-72).
70
Let a(s) = -s**3 - 6*s**... | {
"pile_set_name": "DM Mathematics"
} |
ch is the third biggest value? (a) y (b) 0 (c) z
c
Let i = 7.3 + -7. Let g = -0.8 + i. What is the second smallest value in g, 2/9, -1?
g
Let q be (9/(-8))/((-6)/(-4)). Which is the third smallest value? (a) q (b) -2 (c) -6
a
Let y = -38/9 + 400/99. Let u = 3 - 6. Which is the third smallest value? (a) y (b) 0 ... | {
"pile_set_name": "DM Mathematics"
} |
+ 4. Let z(d) = -7 + 6*d**3 + d**3 - 9*d + 2*d**3. What is p*z(m) - 7*v(m)?
-m**3 + m
Let p(h) = -6*h**2. Let o(a) = -a**2. Calculate -36*o(t) + 4*p(t).
12*t**2
Suppose -4*w + 19 = 3. Let l(s) = -2*s**3 + 2*s**2 - 3*s - 3. Let d(h) = 2*h**3 - 3*h**2 + 4*h + 4. Calculate w*l(b) + 3*d(b).
-2*b**3 - b**2
Let v(t) = t - 1 ... | {
"pile_set_name": "DM Mathematics"
} |
p**2 + 7. Calculate the remainder when q(5) is divided by i.
1
Let s = 57 - 34. Let c = 2 - 14. Calculate the remainder when s is divided by -1*(-2 - -3)*c.
11
Suppose 2*w - 160 = -2*r, 3*w + 0*w = r - 84. What is the remainder when r is divided by 41?
40
Let y(l) = -4*l - 29. What is the remainder when y(-14) is divid... | {
"pile_set_name": "DM Mathematics"
} |
Let h(i) = -i**3 + 6*i**2 - 5*i + 2. Let v be h(5). Suppose -5*z = -3*g + 12, -3*g - v*z = -6*z - 9. Put g, f, 1 in descending order.
1, g, f
Let o = 4 - 3.9. Put 11, -1, o in decreasing order.
11, o, -1
Let b(s) = -s**3 - s. Let y(m) = 2*m**2 - m. Let h be y(1). Let o be b(h). Let j = -1 - -1. Put j, o, -1 in increasi... | {
"pile_set_name": "DM Mathematics"
} |
3.4 + 2261945.399895. Let v = 48 + n. What is v rounded to 5 dps?
-0.00011
Let c = 125.029912 - 1.024812. Let n = -122 - 2. Let x = c + n. What is x rounded to 3 dps?
0.005
Let b = -145 + 146.22. Let v = b + -1.273. What is v rounded to 2 decimal places?
-0.05
Suppose -2*d + 6*d - 160 = 0. Let y be ((-48)/d)/((-1)/(-46... | {
"pile_set_name": "DM Mathematics"
} |
u(i) be the first derivative of -9*i**4/2 + 2*i**2 + 5. What is the second derivative of u(p) wrt p?
-108*p
Suppose 5*l = 2*p - 4, -2*p = -7*l + 4*l. Let j(z) = 3*z - 5. Let d(t) = -3*t + 6. Let m(n) = l*d(n) - 3*j(n). Differentiate m(q) with respect to q.
-3
Let k(c) = 2*c - 11. Suppose j + 32 = 5*j. Let o be k(j). Fi... | {
"pile_set_name": "DM Mathematics"
} |
) = 7*x**3 - 11*x**2 - 17*x - 5. Determine 5*b(h) - 3*d(h).
-h**3 + 3*h**2 + 6*h
Let r(g) = -5*g**2 + g - 5. Let z(f) = -9*f**2 + 123*f - 12. Calculate 2*r(s) - z(s).
-s**2 - 121*s + 2
Let w(u) = 379*u**2 - 10*u - 28. Let r(v) = 126*v**2 - 4*v - 10. What is -8*r(z) + 3*w(z)?
129*z**2 + 2*z - 4
Let f = 478 + -474. Let m... | {
"pile_set_name": "DM Mathematics"
} |
3*(w - 1)**2*(w + 3)
What is d in 4/5*d**2 - 12*d - 64/5 = 0?
-1, 16
Let t be 4*-1*4*(-45)/432. Find a such that -1/3*a**5 + 2*a**2 + 0*a + t*a**3 + 0 - 2/3*a**4 = 0.
-3, -1, 0, 2
Suppose -5*k + 2*u + 48 = 0, 0 = 3*k - 2*u - u - 27. Factor -3*y**3 - 2*y**3 + k*y**3 + 4*y - 9*y**3.
-4*y*(y - 1)*(y + 1)
Let d(z) be the ... | {
"pile_set_name": "DM Mathematics"
} |
6*q + (-2)/(-2) prime?
False
Let s(n) = 2*n - 1. Let x(l) = -5*l + 1. Let t(c) = -7*s(c) - 3*x(c). Is t(6) prime?
False
Let i = 471 - 52. Is i a prime number?
True
Suppose 705 = 4*q + q. Is q composite?
True
Suppose -8*j + 20387 = 11*j. Is j a composite number?
True
Suppose 0 = 2*i + 1934 - 6712. Is i a prime number?
T... | {
"pile_set_name": "DM Mathematics"
} |
= 1593 + -4784/3. What is the third biggest value in -1/3, -4, q, -0.08?
q
Let w = 9.5 + -10. Let f = -2.882 + 2.582. What is the fourth smallest value in f, -2/7, w, 5?
5
Let z = 18 + -18. Let j be 0 + -6 - 552/(-115). What is the fourth biggest value in 4, j, 3/4, z?
j
Let d = 131.937 + -132. Let w = d - 0.037. What ... | {
"pile_set_name": "DM Mathematics"
} |
Let g be h(11). Suppose g*n - a = n. Solve -n = -5*x + 4 for x.
1
Suppose s = 3*a - 4, -s - 1 + 2 = 2*a. Let w be (-21)/(-2) + s/2. Solve m = 3*m + w for m.
-5
Let u = -20 + 39. Suppose u + 9 = 5*o - 2*p, -3*p + 33 = 5*o. Solve -9 = 5*c + o for c.
-3
Let l = -4 - -9. Suppose -l*v + 4*v - 3*y - 5 = 0, 3*v = -4*y. Solve ... | {
"pile_set_name": "DM Mathematics"
} |
22*t + 11. Suppose 9 - 12 = -z. Let g be -4 - -10 - (-6)/z. Calculate the remainder when q(g) is divided by 31.
28
Suppose -25*v = -17*v - 1384. What is the remainder when 327 is divided by v?
154
Suppose 334*h = 428491 - 115199. Calculate the remainder when h is divided by 936.
2
Let r = 17606 - 17470. What is the rem... | {
"pile_set_name": "DM Mathematics"
} |
uppose -33*j + 174 = 2*j + 34. Put -0.068, j, -3, 7 in decreasing order.
7, j, -0.068, -3
Let r be (349525/(-33))/25 - 1*-5. Let l = r - -419. Put -0.02, -4, l, -0.1 in ascending order.
-4, -0.1, -0.02, l
Suppose -3*j + 0*s = 5*s - 23, -5*s = -j - 19. Suppose 33 = 4*y + 5*q, -3*y + 5*q = -0*q + 19. Sort j, y, 4 in asce... | {
"pile_set_name": "DM Mathematics"
} |
ate -13 + 36*j**q + 30*j**4 - 45*j**4 wrt j.
84*j**3
What is the third derivative of 503*q**2 - 8*q**4 + 17551*q**3 - q**4 + 9*q**5 - 17551*q**3 wrt q?
540*q**2 - 216*q
Let m(a) = -a**3 - 2*a**2 - 2. Let d be m(-3). Suppose 2*o + 10 = d*o. Find the second derivative of 7*p**2 - 5*p - 12*p**o + p wrt p.
-10
Let y(o) = 9... | {
"pile_set_name": "DM Mathematics"
} |
= 3*i**2 + 13*i - 10. Let z(d) = -4*u(d) - 7*y(d). Calculate z(8).
-2
Let r = -11 + 18. Let v(d) = -9*d**3 + 3 - 8*d + 11*d**3 - 6*d**2 - d**3. What is v(r)?
-4
Let r(z) = 3*z + 1. Let k be (-8)/(-100) - (-992)/100. Determine r(k).
31
Let d(n) = -n**2 - 5*n + 12. Let u be d(-6). Let r(k) = k - 7. Let i be r(u). Let s(... | {
"pile_set_name": "DM Mathematics"
} |
c.
2, 5
Let o(x) = -8*x + 27. Let m = 128 + -34. Suppose -7*w - 25 - m = 0. What are the prime factors of o(w)?
163
Let t(x) = -x**2 + 5*x + 8. Let p be t(5). Suppose -3*k - 7 - p = 0. List the prime factors of 0 + (k*1)/(4/(-52)).
5, 13
Suppose 4*q - 20 = 0, 4*c - 3*q = 2*c - 7. Suppose -196 = -3*s - c*g, -3*s + 172 ... | {
"pile_set_name": "DM Mathematics"
} |
*a - 3. Let g(q) be the second derivative of 7*q**4/12 + q**3/2 + 9*q**2/2 - 9*q. Is g(k) a prime number?
True
Suppose 85*m - 19*m - 77117 = -m. Is m prime?
True
Let r = 830 - 588. Suppose -3*k + 2609 = r. Is k composite?
True
Let f = 2547 + -134. Is f - ((-108)/(-48) - (-2)/(-8)) a composite number?
False
Suppose q = ... | {
"pile_set_name": "DM Mathematics"
} |
Are g and q equal?
False
Let x = -76 + 96. Suppose -2*n - x = 3*n. Let f be (-2)/((-16)/(-22)) - 2. Does f = n?
False
Let b = -16.7 + 15. Let f = -0.7 - b. Is 170 less than f?
False
Let n be ((-20)/110 - 434/33)*12/(-8). Is 7 at most as big as n?
True
Let z be (-1 + -2)*334/(-7348). Let t be (1 - 1)*(-2)/4. Is t at le... | {
"pile_set_name": "DM Mathematics"
} |
0. What is g(123)?
-94
Let q(u) = -21*u**2 - 961*u - 146. Determine q(-46).
-376
Let v(l) = -16418*l - 98449. What is v(-6)?
59
Let b(a) = a**2 - 1018*a + 244698. Determine b(389).
17
Let o(h) = h**2 + 335*h + 19700. Calculate o(-259).
16
Let v(j) = -54969*j - 604665. Determine v(-11).
-6
Let w(h) = 2942*h + 21600. Wha... | {
"pile_set_name": "DM Mathematics"
} |
, b
Let a be (-10)/66 - 8/44. Sort -2/7, 1/178, a in descending order.
1/178, -2/7, a
Let g = 137/1144 - -3/88. Let j = 5.07 - 0.07. Put g, j, 8 in decreasing order.
8, j, g
Suppose 2*v + 3*v = 10. Suppose v*b + 5*g = -28, -5*b = -2*b - g + 8. Put -3, 27, b in increasing order.
b, -3, 27
Let i be -1 - (1 + -1) - -10. S... | {
"pile_set_name": "DM Mathematics"
} |
mon divisor of z and j?
8
Suppose 5*b = -0*d - 2*d + 56, -b - 2 = 0. Let q = 27 - 16. Let y be (-1 + -2 - -3) + q. Calculate the greatest common divisor of d and y.
11
Suppose 12*d - 539 = 5*d. Let l(i) = -i**3 - 7*i**2 + 17*i - 8. Let j be l(-9). Let q = j - -6. What is the highest common factor of q and d?
7
Let o be... | {
"pile_set_name": "DM Mathematics"
} |
= 2*c**2. Let h(q) be the first derivative of -97*q**3 + 2080. What is v(h(t))?
169362*t**4
Let u(p) = -241684*p + 3. Let w(j) = -2*j. Determine u(w(l)).
483368*l + 3
Let p(k) = -5*k**2. Let v(l) = -10471582*l + 1. Calculate v(p(u)).
52357910*u**2 + 1
Let l(h) = 9 + 15 - 2*h - 42 + 18. Let a(q) = -445*q. Give l(a(v)).
... | {
"pile_set_name": "DM Mathematics"
} |
3. Do y and 5 have the same value?
True
Let q be ((-36)/(-90))/((-2)/(-13)). Let j = -3 + q. Which is greater: 1/5 or j?
1/5
Suppose 3*h - 15 = 8*h - 3*v, 0 = -4*v + 20. Suppose 2*x = -x - 3*w + 6, 5*x + 2*w - 7 = 0. Which is bigger: x or h?
x
Suppose 24 = -2*f + 26. Which is smaller: 2/191 or f?
2/191
Let z = -0.026 ... | {
"pile_set_name": "DM Mathematics"
} |
3 in ascending order.
-26, a, 3
Let q = -5 + 8. Let c = -119 + 116. Let o = q + c. Sort o, -0.5, -1 in descending order.
o, -0.5, -1
Suppose 0 = -4*b - 16, -2*b = -h - b + 8. Let y be (56/(-35))/(h/10). Put 3, 1, y in decreasing order.
3, 1, y
Suppose 0 = -15*x + 75 - 30. Put 5, 44, x, 2 in ascending order.
2, x, 5, 44... | {
"pile_set_name": "DM Mathematics"
} |
u be ((-6)/8)/((-1)/4). Let p(h) = h**2 + 9*h - 313. Let k be p(-23). Suppose k*x = -269 + 287. Solve 0 = u*o - x*o + 1 for o.
-1
Let d be (479/5)/(312/546 + 39/(-105)). Solve -12 = -d*y + 481*y for y.
-6
Suppose -p - 1021 = -5*i + 913, -4*i + 1544 = -4*p. Suppose 10*q - 123 = i. Suppose -56*l = -q*l. Solve l = -3*v - ... | {
"pile_set_name": "DM Mathematics"
} |
m. Is m a prime number?
False
Let o be (-36)/(-30)*(1 - -5034). Suppose 5*i = 2*s + i - o, 4*s - 2*i = 12078. Is s composite?
False
Let s = -22 + 47. Suppose s = 5*h - 5. Suppose -h*o = -4*o - 4*d - 338, 803 = 5*o + 4*d. Is o composite?
False
Let d = -7499 + 21340. Is d a composite number?
False
Let j = 33150 + -17591.... | {
"pile_set_name": "DM Mathematics"
} |
ative of 11 + k*s - 3*s**2 - 2*s - 5. What is v(n(m))?
-108*m**2
Let f(x) = 22*x. Let h(m) = m - 1. Let q(g) = 7*g - 8. Let u(v) = -40*h(v) + 5*q(v). Calculate f(u(c)).
-110*c
Let d(a) = 6*a**2 + 4*a + 1. Let i(l) be the second derivative of l**3/6 - 2142*l. Determine i(d(s)).
6*s**2 + 4*s + 1
Let k be 2*(-11)/((-154)/... | {
"pile_set_name": "DM Mathematics"
} |
Calculate the remainder when b is divided by z.
21
Suppose 0 = -3*d + 4*p + 1936, 0*d + 2*p - 1930 = -3*d. Suppose -3*s - 11*s = -d. Calculate the remainder when s is divided by 24.
22
Calculate the remainder when 35 is divided by (1 - 1272/(-108)) + 2/9.
9
Suppose 0 = -2*j + 4*j - 52. Let o = 221 + -119. Calculate the... | {
"pile_set_name": "DM Mathematics"
} |
116. Let i be l(29). Suppose 0*k + 0 - 2/5*k**4 + 4/5*k**3 + i*k**2 = 0. Calculate k.
0, 2
Let y = 1578/7 - 4717/21. Let t = 8/7 - y. Find u such that -4/3 - t*u**2 - 4/3*u = 0.
-2
Let g(w) be the third derivative of -w**5/15 + 7*w**2. Factor g(y).
-4*y**2
Let g = 18/503 - 5416/123235. Let w = 20/49 + g. Find h such t... | {
"pile_set_name": "DM Mathematics"
} |
-7?
5
Let r(s) = 2*s**2 + s - 1. What is the remainder when 49 is divided by r(-3)?
7
Suppose 7*p - 2*p = 10. Suppose 6*v - p*v = 28. What is the remainder when 25 is divided by v?
4
Suppose 4*w - 205 = -3*m, -95 = -2*w - 2*m - m. Calculate the remainder when 109 is divided by w.
54
Suppose -3*a + 136 = 832. What is t... | {
"pile_set_name": "DM Mathematics"
} |
vided by k.
11
Suppose 3*d - 5*j - 32 = 0, -4*j - 10 = -d + 10. What is the remainder when d/(-10) - (-92)/5 is divided by 5?
3
Let l(u) be the first derivative of -2 + 0*u + 0*u**3 + 17/2*u**4 + 1/2*u**2. What is the remainder when l(1) is divided by 18?
17
Let w = 52 + -28. Calculate the remainder when w is divided b... | {
"pile_set_name": "DM Mathematics"
} |
isor of f and 27?
9
Suppose 0 = 3*d - 3*y - 9 + 3, -4*y + 8 = 0. Suppose 5*w + 25 = 0, 3*w - 6*w = 5*u. Suppose -u*a - d = -4*a. Calculate the highest common factor of a and 2.
2
Let t(l) be the first derivative of l**3/3 - 9*l**2/2 - 15*l - 5. Suppose 5*g = 55 - 85. Let k be t(g). Calculate the highest common factor o... | {
"pile_set_name": "DM Mathematics"
} |
? (a) -1 (b) 5 (c) -2.4 (d) z
d
Let z(a) = -a**3 - 88*a**2 + 7*a + 620. Let l be z(-88). What is the fourth biggest value in 7, -4/3, 1/30, -1, l?
-1
Let l = -76 - -80.09. Let q = l - 3.89. Which is the third smallest value? (a) -1 (b) 3 (c) q
b
Let r(l) = 50*l - 8. Let d be r(1). Let p be -4 - (d/7)/(-3). Suppo... | {
"pile_set_name": "DM Mathematics"
} |
o, 4*r = 0 for j.
5
Let b(j) = -330*j - 1648. Let o be b(-5). Solve 0 = 5*d - 6*y + 10*y - 29, -2 = -o*y for d.
5
Let f = 331 + -327. Suppose -f = -d + 25*s - 23*s, 5*s = 4*d - 13. Solve 0 = 2*l - 6*x + 2*x + 16, -2*l - 2*x = -d for l.
-2
Let p = 90 - -32. Let g = -164 + p. Let y be -1 + (-30)/g + (-60)/(-14). Solve 4*... | {
"pile_set_name": "DM Mathematics"
} |
Let n(r) = 2*r**2 + 1. Let d(y) = -1 - 2 + 0 + 2 + y. Let c be d(2). Give n(c).
3
Let z(a) = -a**2 - 3*a + 4. Let o be z(-4). Suppose -b + 4*b - 9 = o. Let p(j) = 0*j - 4 + 3*j - 2*j. What is p(b)?
-1
Let w(g) = -g - 3. Let z(s) = 1. Let k(r) = -3*w(r) - 15*z(r). Let o(b) = -b + 0*b - 6 - 6 + 2. Let a be o(-14). Calcu... | {
"pile_set_name": "DM Mathematics"
} |
. Determine s(q(n)).
1444*n**2
Let u(g) = 4*g. Let a(l) be the second derivative of -8*l + 2*l**3 - 2*l - 12*l + 8*l. Calculate u(a(o)).
48*o
Let p(m) = -2 + 6 + 25*m - 1 - 146*m. Let h(w) = -w**2. What is p(h(u))?
121*u**2 + 3
Let s(q) = -9*q. Suppose -11*d = v - 7*d - 8, v + 4 = 2*d. Let l(b) be the third derivative ... | {
"pile_set_name": "DM Mathematics"
} |
4. Is 0 at least as big as b?
True
Let t be (-3 - -2)*(-4)/(-4). Which is smaller: -3/14 or t?
t
Suppose l = -0 + 1. Let w = -4 - -2. Let b = w - -4. Do b and l have different values?
True
Suppose -t + 2 = -0*t. Suppose 5*g - 26 = -11. Let c = g - t. Is -2/5 > c?
False
Let j be 15/20 + 0 - (-1)/(-2). Let b be 3/12*(-10... | {
"pile_set_name": "DM Mathematics"
} |
11?
False
Let g(b) = -b**2 - 2*b + 7. Let y be g(-3). Suppose 2*c - p = 4*p + 431, 2*c = -y*p + 422. Does 13 divide c?
False
Is 9 a factor of ((-9648)/192)/(105/36 + -3)?
True
Let o(r) = -2*r**3 - 3*r**2 - 9*r - 15. Is o(-7) a multiple of 5?
False
Let g = 86 + -167. Let d = g + 141. Does 20 divide d?
True
Suppose -6000... | {
"pile_set_name": "DM Mathematics"
} |
Let x = 0.101 - 0.13. Let f = w + x. Round f to 2 decimal places.
-0.01
Let h(j) = 4169*j**3 + 42*j**2 - 7*j + 4. Let d be h(12). Round d to the nearest 1000000.
7000000
Let a be -1 + (-6 + 3 - -6). Let b(k) = 4*k - 15001*k**3 + k**2 - 4 + 6 - 3*k. Let m be b(a). What is m rounded to the nearest 100000?
-100000
Let j ... | {
"pile_set_name": "DM Mathematics"
} |
- u. Sort f, -3, t.
-3, f, t
Let j = -5.06 + 5. Let q = 215/88 - 21/8. Let f be (-18)/(-8) + 18/24. Sort f, j, q.
q, j, f
Suppose -4 = -2*j + 3*j. Let v be (-1)/(-6) - 95/30. Let x(f) = f**2 - f - 7. Let s be x(v). Sort 4, j, s in increasing order.
j, 4, s
Let z(a) = a - 9. Let w be z(0). Let n be 2/(-8)*(-8)/w. Let b ... | {
"pile_set_name": "DM Mathematics"
} |
63*n = -58*n + 295. Let v = 60 + n. Which is bigger: 2/127 or v?
v
Suppose -4*u - 9 = -5*c, -4*u + u + c = -7. Does 27/10 = u?
False
Let i be 14/15 + -1 + 0. Suppose -a - 12*a = -26. Suppose a - 2 = r. Is r bigger than i?
True
Suppose 4*w - 8 = 5*v, w = -w + 5*v + 4. Let a be (w/2)/(3/18). Suppose -3*o = 3*u - a, 6 + 7... | {
"pile_set_name": "DM Mathematics"
} |
**2 + b + 5. Let x be a(-5). Let y(d) = d - 1. Let p(n) = 2*n + 1. Let w be p(2). Let i be y(w). Sort x, i, 3 in ascending order.
x, 3, i
Let w = 5.7 - 6. Let i = -10 - -9.6. Put i, -4, w in descending order.
w, i, -4
Let v = -7.2 - -7.3. Put v, -3/7, -0.2 in descending order.
v, -0.2, -3/7
Let v = 16.2 - -3.6. Let a =... | {
"pile_set_name": "DM Mathematics"
} |
u**2 - 409*u + 6296. Determine g(38).
-582
Let p(k) = -4*k**2 - 633*k - 562. Calculate p(-157).
223
Let r(p) = -13*p**3 + 19*p**2 + 263*p - 1412. What is r(5)?
-1247
Let y(w) = -959*w**3 + 3*w**2 - 48*w - 50. Determine y(-1).
960
Let b(h) = h**3 - 23*h**2 + 29*h + 573. Give b(20).
-47
Let q(m) = -m**2 + 460*m - 22626. ... | {
"pile_set_name": "DM Mathematics"
} |
d, 2, -2
Let g = 0.1 + -0.6. Suppose 0 = -3*m + 81 + 105. Let h = -57 + m. Sort 1/5, g, h in descending order.
h, 1/5, g
Let w = 1.12 - 1. Let l = -0.38 - w. Put 0.9, -4/7, l in descending order.
0.9, l, -4/7
Let c = -1.55 + 3.55. Let l = 2.6 - 3. Let x = -106 - -531/5. Sort c, x, l in ascending order.
l, x, c
Let z(c... | {
"pile_set_name": "DM Mathematics"
} |
the smallest value in -1, g, -0.4?
g
Let x = 56 - 60. What is the fourth biggest value in -5, 0, x, 1/3?
-5
Let q = -0.29 - -0.39. What is the biggest value in q, 2, -2?
2
Let m be 77/396 - 1/(-4). Which is the third smallest value? (a) m (b) 0.5 (c) -0.2
b
Let r = 1 + 1. Let n(u) = -u**2 + 6*u + 3. Let k be n(6). S... | {
"pile_set_name": "DM Mathematics"
} |
4*n - 9. Let r(a) = 7*a**3 - 1. Let q(c) = g(c) - 2*r(c). Let k(m) = -14*m**3 + m + 2. What is 7*k(w) + 2*q(w)?
-14*w**3 - w
Let b(n) = -54*n**2 - 7*n - 71. Let o(d) = 22*d**2 + 3*d + 35. Give 2*b(s) + 5*o(s).
2*s**2 + s + 33
Let u(b) = b**3 + b**2 + b. Suppose -51*c = -36 + 24 + 165. Let a(i) = 2*i**3 + 7*i**2 + 3*i ... | {
"pile_set_name": "DM Mathematics"
} |
d + s*x = 6*d - 2322, -5*d + 5814 = -3*x. Suppose 0 = t - d - 937. Is t composite?
True
Let n(o) = -5*o**2 - 7*o + 26. Let r be n(4). Is (r/123)/(2/(-19299)) a prime number?
False
Suppose -9*b = -0*b - 36. Suppose -5322 = -4*h + 2*h. Suppose b*w + o - 4536 = 0, -3*w = 3*o - 750 - h. Is w a prime number?
False
Suppose 1... | {
"pile_set_name": "DM Mathematics"
} |
y. Solve 0 = -c*n + 3*n + 8 for n.
4
Let i be 2/((8/(-30))/(2/(-3))). Suppose 0 = 5*n + 4*x - 15, i*x = 6*x. Solve -2*o + 3*o + n = 0 for o.
-3
Let d = -558 - -589. Suppose 35*t - 68 = d*t. Solve 2*x - t = -25 for x.
-4
Let n be -9 + 0 + 3 + 7. Suppose -3*t - t = 3*y - 11, 0 = -y + n. Solve -v + t*v = -3 for v.
-3
Supp... | {
"pile_set_name": "DM Mathematics"
} |
a(y) = -419*y + 6 + 214*y - 1 + 30*y**2 - 29*y**2 + 214*y. Determine a(-14).
75
Let i(v) = -v**3 + 8*v**2 + 6*v + 4. Let d(c) = 4*c**2 + 11*c - 11. Let w(h) = -2*h - 46. Let j be w(-21). Let b be d(j). Determine i(b).
-23
Let c be (10/(-4))/((-40)/32). Suppose -17 = -g - 3*x, -g - 5*x + 7 = -c*g. Let w(j) = 5*j + 5 - ... | {
"pile_set_name": "DM Mathematics"
} |
, r = l + 5. Solve p + 2*n - 33 = 6*p, 0 = -2*p + r*n - 18 for p.
-5
Let x be ((-264)/(-68))/1 + -1 + (-133)/(-119). Solve -3 = 8*r - 6*r + v, x*r = v - 9 for r.
-2
Let c be (-10 - (-407)/44)/(6/(-16)). Suppose -6 = -c*j + 3*n + 5, 0 = -2*j + 5*n + 13. Solve 8*v - 2*k = j*v + 10, 5*v = -3*k + 7 for v.
2
Suppose -9 = -3... | {
"pile_set_name": "DM Mathematics"
} |
-1)/(-8). Sort 6, a, 2/3 in descending order.
6, 2/3, a
Let a be ((-12)/10)/(5/(-25)). Let n be ((-6)/9)/(2/a). Let j = -8092 - -8096. Put n, j, -6 in descending order.
j, n, -6
Let j = -169 + 174. Let l(y) = -y**3 + 6*y**2 - 2*y - 7. Let n be l(j). Put -5, n, -2 in decreasing order.
n, -2, -5
Let c be 14/(-30) - 2/10.... | {
"pile_set_name": "DM Mathematics"
} |
+ 0*c. Let u(l) = 5*l - 1. Let q(r) = 11*t(r) - 4*u(r). Let z(a) = 6*a + 11. Determine -8*q(o) + 3*z(o).
2*o + 1
Let m(x) = 7*x + 5. Let b(t) = -7*t - 6. What is -6*b(p) - 7*m(p)?
-7*p + 1
Let s(j) = -6*j**3 - 11*j**2 + 11*j - 3. Let a(h) = -2*h**3 - 4*h**2 + 4*h - 1. Let z(b) = -2*b**2 - 8*b + 6. Let p be z(-5). What... | {
"pile_set_name": "DM Mathematics"
} |
Let c(m) = -16*m**2 - 3*m + 16. Let i(j) = c(j) + 5*n(j). What is i(-6)?
-12
Let z(k) = 5*k - 4*k - k + k. Let a(q) = q**2 + 19*q + 33. Let d be a(-16). Let w be (-12)/(-2) - d/(-5) - 1. Determine z(w).
2
Let j(p) = p**3 - 17*p**2 - 3*p + 21. Suppose 0 = 5*s + 4*y - 109, -2*s - y + 37 + 3 = 0. Give j(s).
-30
Let r(y) b... | {
"pile_set_name": "DM Mathematics"
} |
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