text stringlengths 1.4k 8.19k | meta dict |
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11*s. Let a(j) = -29*j. Determine a(l(k)).
29*k**2
Let z(g) = 4*g**2. Let q be (-2)/(-1)*(-2)/(-2). Let n(r) = 7 - 2 - 3*r**q - 5. What is n(z(s))?
-48*s**4
Let o(k) be the second derivative of k**3/3 + 6*k. Let s(m) = 3*m**2 + m - 1. Let z(w) = w**2 + w - 1. Let i(n) = s(n) - z(n). Calculate i(o(h)).
8*h**2
Let k(u) ... | {
"pile_set_name": "DM Mathematics"
} |
16)/3
Factor 2*i**5 - 236*i**4 - 964*i**3 - 1456*i**2 - 974*i - 244.
2*(i - 122)*(i + 1)**4
Factor b**4/2 + 7*b**3 - 515*b**2/2 - 534*b - 270.
(b - 18)*(b + 1)**2*(b + 30)/2
Find w such that 4*w**5 + 788*w**4 - 1588*w**3 + 796*w**2 = 0.
-199, 0, 1
Factor -5*s**2/6 - 2690*s - 2170830.
-5*(s + 1614)**2/6
Factor u**4/3 - ... | {
"pile_set_name": "DM Mathematics"
} |
1
Let v(z) = z**3 - 14*z**2 + 175*z - 2081. Let m be v(13). Solve -8*l - m = -3*l for l.
-5
Let z be (27/297)/(2/88). Solve 0 = -z*d - 122*d + 504 for d.
4
Let x = -4415 + 4511. Solve x - 94 = -z for z.
-2
Suppose 4*y + 2*j = 582, 7*y - 3*y = 5*j + 631. Solve -y*f + 47*f = 816 for f.
-8
Suppose -4*d + 406 = -306. Let x... | {
"pile_set_name": "DM Mathematics"
} |
-76*j - 2223 = -t*j. Is 19 a factor of j?
True
Let b(q) = -q + 5. Let k be b(5). Let t be 1695/35 + (-40)/(-70). Suppose -r + 136 - t = k. Is r a multiple of 29?
True
Let p = 3017 + -114. Is p a multiple of 23?
False
Let x = 5744 + -4106. Does 78 divide x?
True
Let m(r) = 51*r + 3. Let z(y) = 154*y + 10. Let k(c) = -1... | {
"pile_set_name": "DM Mathematics"
} |
8. Put o, 3/2, z in ascending order.
o, 3/2, z
Let q be (-6)/9*-1 + -1. Let g = -0.1 - 0.1. Sort q, 2, g.
q, g, 2
Let r = 0.187 - 0.687. Let d = 3 + -5. Put -1/12, r, d in descending order.
-1/12, r, d
Let b = -0.6 - -0.3. Put 2/11, b, 0.3 in ascending order.
b, 2/11, 0.3
Let s(j) = 5*j**2 - j. Let r be s(1). Let b(f) ... | {
"pile_set_name": "DM Mathematics"
} |
6*s + 3*g - 54 = 0. Let h = -11 + 14. Suppose 0 = -4*t + h*n + 93, n = 2*n - 1. What is the greatest common factor of t and s?
24
Let c(f) = 32*f - 3. Let x be c(4). Let h(k) = k**2 + 47*k - 101. Let q be h(-49). Let u = x - q. Calculate the highest common divisor of 32 and u.
32
Suppose -3*r = y - 4*r + 2, -4*y - r = ... | {
"pile_set_name": "DM Mathematics"
} |
ue
Let o = 0.3 + -0.4. Let w be ((-76)/(-16) - 2) + -2. Is w greater than or equal to o?
True
Let u = -797/8 + 100. Let i = -41 + 40. Which is smaller: i or u?
i
Let u = -3.8 + -1.2. Let o = u - -3. Which is smaller: 1 or o?
o
Let i = 0.3 + -0.4. Let j be (1 + -4)*4/(-84). Let k = j + 4/21. Do k and i have different va... | {
"pile_set_name": "DM Mathematics"
} |
b) l (c) -6 (d) 2
c
Let l = 0.1 + 0. Suppose -5*i + 3*p + 19 = -p, 2 = -2*p. Which is the third smallest value? (a) l (b) i (c) -4/3
b
Let u = -281 + 264. Let m = -30 - -46. Let s = m + u. Which is the second biggest value? (a) s (b) -0.2 (c) -1/2
c
Let x be (-15)/(-70)*(52/(-24) + 1). Which is the smallest val... | {
"pile_set_name": "DM Mathematics"
} |
t i be (6/(-5))/(-2) - (-35)/(-100). Is i at least -0.065?
True
Let t(o) = -o - 2. Let q be t(-4). Let z be -2 + -3*(q + -3). Are 0.17 and z equal?
False
Let c be (42/140)/((-2625)/20). Which is greater: 1 or c?
1
Suppose 52*j = -1521 + 429. Which is smaller: -22 or j?
-22
Let d = -67/16 - -117/16. Which is smaller: d ... | {
"pile_set_name": "DM Mathematics"
} |
)/i*i*i)/i)**(-4/5))**(9/5) assuming i is positive.
i**(-74/25)
Simplify (((q**(1/3)*q)/q*q)**(11/5)/((q**(2/5)*q*q)/(q/(q*q**(2/9)))))/((q/q**(-1/4))/(q*q**(-1))*q**(-1/4)*q**(-2)*q) assuming q is positive.
q**(14/45)
Simplify ((c/(c*c**(1/5)*c))/c)/c*c*(c**(1/9)*c)/c*(c*c**(1/5))**30*((c**(-1/10)*c)/((c**4/c)/c))/((c... | {
"pile_set_name": "DM Mathematics"
} |
3100*t**2 - 11532*t = 0?
-3, 0, 31
Factor -2*x**3/11 + 36*x**2/11 + 80*x/11.
-2*x*(x - 20)*(x + 2)/11
Factor 6*f**4 - 21*f**3 + 6*f**2 + 9*f.
3*f*(f - 3)*(f - 1)*(2*f + 1)
Suppose -5*c**2 - 720*c - 25920 = 0. What is c?
-72
Factor -2*w**3 - 24*w**2 - 34*w + 180.
-2*(w - 2)*(w + 5)*(w + 9)
Determine a, given that -a**4... | {
"pile_set_name": "DM Mathematics"
} |
/5 + 10*m**4 + 56*m**3/3 + 16*m**2 - 975*m. Factor p(n).
4*(n + 2)**3*(2*n + 1)
Suppose -y + a + 40 = 0, -2*y + a = 2*a - 68. Let j be (y/27)/((-3)/(-18)). Factor -j*x**2 + 8*x + 1 - 9 + 17*x**2 - 11*x**2.
-2*(x - 2)**2
Let u be 39/12 - (8 + 189/(-28)). Suppose 5*m = -4*s - 10, 3*s - 10 = -u*s + 5*m. Factor s - 5/4*f**... | {
"pile_set_name": "DM Mathematics"
} |
t + 10 = 0, -4*n + n + 44 = -t. Calculate the greatest common divisor of n and 117.
13
Let v = 191 - 125. What is the highest common factor of v and 22?
22
Let f = -84 + 91. Calculate the greatest common factor of 1 and f.
1
Let y be 1/((-4)/192*-6). What is the highest common divisor of y and 12?
4
Let u(o) = 3*o**2. ... | {
"pile_set_name": "DM Mathematics"
} |
((-1854)/c)/(4/(-6)) is divided by 26.
25
Suppose 3*z + z = 44. Suppose 2*t - 3*x = z + 26, 5*x = 5*t - 100. Let c = -15 + 23. Calculate the remainder when t is divided by c.
7
Let l = -94 - -97. Suppose -l*k - 27 = -3*z - z, -z + k = -6. Calculate the remainder when 38 is divided by z.
2
Let k(z) = 4*z**2 + 3*z**3 + 0... | {
"pile_set_name": "DM Mathematics"
} |
j**3/21 + j**2/7 + 3*j. Factor b(m).
2*(m + 1)**2/7
Let 28*d**3 + 60*d**2 + 108/7 - 468/7*d = 0. What is d?
-3, 3/7
Let x = 16 - 10. Let u(o) be the third derivative of 1/12*o**5 + 2/3*o**3 + 0 + 3*o**2 + 0*o + 1/3*o**4 + 1/120*o**x. Factor u(n).
(n + 1)*(n + 2)**2
Let a = 3 + 0. Solve 3*c**3 + 3*c - 3 + 3*c**2 + c**a ... | {
"pile_set_name": "DM Mathematics"
} |
44877952 = 0. Calculate z.
-9639, -584
Factor 6*s**2/7 + 297098*s/21 + 132040/21.
2*(s + 16505)*(9*s + 4)/21
Suppose -10*v**5/13 - 2954*v**4/13 + 51720*v**3/13 - 22840*v**2/13 - 117440*v/13 - 3072 = 0. Calculate v.
-312, -1, -2/5, 2, 16
Factor -2*v**2/3 + 6374684*v/3 - 5079574512482/3.
-2*(v - 1593671)**2/3
Find q such... | {
"pile_set_name": "DM Mathematics"
} |
, c, -1 in decreasing order.
3, -1, -2, c
Let j = -1 - 0. Suppose 22 = -5*k + 12. Sort j, 3/2, k in decreasing order.
3/2, j, k
Let m be ((-2)/3 - 0)/(-6 + 2). Sort -3, 6, 1/8, m in decreasing order.
6, m, 1/8, -3
Let g(z) = z**3 + 10*z**2 + 10*z + 6. Let u = 13 + -36. Let i = u - -14. Let a be g(i). Put -1, a, -5 in d... | {
"pile_set_name": "DM Mathematics"
} |
hen k is divided by 36/2 + (-12)/n?
13
Calculate the remainder when (2 + 0)*(-21)/(-6) is divided by 6.
1
Let y(s) = -s**2 + 8*s + 13. Suppose -h = 5*o - 117, 4*h + 17 - 5 = 0. Calculate the remainder when o is divided by y(8).
11
Suppose 15 + 51 = 2*f. Calculate the remainder when 96 is divided by f.
30
Let z(n) = n**... | {
"pile_set_name": "DM Mathematics"
} |
*w**2 + 20014*w/11 + 10006/11 = 0.
-5003, -1
Factor -81*x**4/4 + 3405*x**3/2 - 126*x**2.
-3*x**2*(x - 84)*(27*x - 2)/4
Find q such that -2*q**4/9 + 36950*q**3/9 - 25284748*q**2 + 467262118408*q/9 - 467034592624/9 = 0.
1, 6158
Factor 3*i**2/7 - 6489948*i/7 + 3509952086892/7.
3*(i - 1081658)**2/7
Solve 2*q**5 - 340*q**4 ... | {
"pile_set_name": "DM Mathematics"
} |
9 + -7. Suppose 24 = -n*r + 5*r. What are the prime factors of r?
2
Suppose 0 = l + 12 + 1. Suppose -4*i + 5 = -83. Let a = i + l. List the prime factors of a.
3
Let v = 8 - 16. Let j(d) = -d**3 - 9*d**2 - 8*d - 2. Let q be j(v). What are the prime factors of q/(-12) + (-214)/(-12)?
2, 3
What are the prime factors of (... | {
"pile_set_name": "DM Mathematics"
} |
8 + 5)*(-1)/(-8). Let y = 5/24 + m. Which is the smallest value? (a) y (b) u (c) -5
c
Let q be (-402)/(-16)*(-2 - -1). Let n = 25 + q. Let l = 12.22 + -12.72. What is the biggest value in n, -1/5, l?
n
Let q be (4/12)/(6/(-27)). Let o = -60 + 59. Which is the third smallest value? (a) 6 (b) o (c) 1 (d) q
c
Let z... | {
"pile_set_name": "DM Mathematics"
} |
(-14)?
False
Let y be ((-70)/4)/(6 - 292/48). Suppose 12 - y = -3*w. Does 11 divide w?
True
Suppose 104 = 2*q - 5*l, 4*l + 32 = q - 26. Suppose b - 3*x + 30 + 5 = 0, -5*b + 3*x - 151 = 0. Let k = b + q. Is 13 a factor of k?
True
Let z(x) = -8 + 4*x**2 - 3*x**2 + 0*x**2 - 2*x**2 - x**3. Is 8 a factor of z(-4)?
True
Let ... | {
"pile_set_name": "DM Mathematics"
} |
= -22. Let x be (-12)/(-3)*l/14. Suppose 4*z - 2*o + 18 = 0, z + 0*o + 12 = -2*o. Are x and z non-equal?
False
Let u = 15.55 + -15.55. Let o = -0.05 - 1.95. Let a = o + 5. Which is greater: a or u?
a
Suppose 36 - 8 = 4*w. Let r be w/(-2)*(-14)/49. Let u = -21/8 + 113/40. Is r less than u?
False
Let d = 478 + -1941/4. W... | {
"pile_set_name": "DM Mathematics"
} |
alue? (a) -5 (b) h (c) 2/5 (d) 1
b
Let q = -0.06 - 0.94. Let l be 57/(-90) - (-1)/3. Let o = l + 11/20. What is the second biggest value in q, o, 4?
o
Let v = -1.7 + 1.63. Let k = v - -4.87. Let s = 5 - k. Which is the smallest value? (a) 4 (b) -2/5 (c) s
b
Let k = -5.39 - -0.39. What is the second smallest valu... | {
"pile_set_name": "DM Mathematics"
} |
35*s(k). What is x in v(x) = 0?
-1, 12
Let a = -74 + 73. Let r be (a - 123/(-24)) + -4. Factor -1/8*o**3 + 0 + r*o - 1/8*o**2 + 1/8*o**4.
o*(o - 1)**2*(o + 1)/8
Factor 6*k - 2*k - 17*k - 11*k + 3*k**2 - 6*k.
3*k*(k - 10)
Suppose 0 = 5*z + 4*a + 65, -3*a + 30 = -5*z - 0*z. Let r = z - -14. Factor 5*c**r - 4*c**5 - 2*c**... | {
"pile_set_name": "DM Mathematics"
} |
?
True
Suppose -8 - 7 = -3*m. Let p be (-26)/(-4)*(m - 3). Is 11 a factor of (p + -3)/(1/4)?
False
Let b(k) = k - 6. Let p be b(8). Suppose 2*u - p = 8. Suppose m = y + 23, 0*m - m - 5*y = -u. Is m a multiple of 10?
True
Let w(j) = j**2 + 10*j - 8. Let y(f) = -f**3 - 6*f**2 - 5*f + 2. Let d be y(-4). Let t be w(d). Is ... | {
"pile_set_name": "DM Mathematics"
} |
5)/(-2) + -1.
2
Evaluate (0/(1 + 6) - 0)/(-2).
0
Calculate ((-16)/(-60)*5)/((-1)/3).
-4
What is the value of (-6)/10 + 213/355?
0
What is the value of ((-2)/1 + (-36)/(-15))*-1?
-2/5
What is (8/(-2))/((-27)/((-2916)/(-48)))?
9
3*(-2)/(-6) - (9 - 10)
2
Calculate (-15)/6*4*6/(-24).
5/2
Evaluate 1430/(-440) - 3/4.
-4
Eval... | {
"pile_set_name": "DM Mathematics"
} |
**2 - 13*b + 26. What is the lowest common multiple of x(12) and 12?
84
Let v = -395 + 2339/6. Let i be 11388/8*2/1. Calculate the common denominator of v and (-4)/18*i/(-52).
6
Let a be ((-2)/3)/((-2)/(-66)). Calculate the common denominator of -51/10 and (-4565)/a*(-1)/25.
10
Calculate the common denominator of (-36)... | {
"pile_set_name": "DM Mathematics"
} |
+ 14. Let r be b(-5). What is the first derivative of 359 + 3*h**4 + 3*h - 6*h**4 - 7*h**r - 375 wrt h?
-40*h**3 + 3
Find the first derivative of -73*k**2 + 106 - 2486*k + 2486*k + 3*k**3 wrt k.
9*k**2 - 146*k
Let o = 32 - 53. Let g be ((-1)/3)/(o/315). Find the second derivative of -16*v**g + 39*v**5 - 10*v**5 - 2*v w... | {
"pile_set_name": "DM Mathematics"
} |
i and 4?
20
Let y be -1 - (0 - 18250131/(-33)). Let q = y + 553616. Let a = 583 - q. What is the common denominator of 97/4 and a?
44
Let w(f) = f**3 + 6*f**2 + 4*f + 2. Let c be w(-5). Suppose g - 13 = c. Calculate the least common multiple of g and 18.
180
Let k = -54 + 62. Calculate the smallest common multiple of k... | {
"pile_set_name": "DM Mathematics"
} |
ng p is positive.
p**(-186867/55)
Simplify ((l**(-2/13)/l**0)**45)**(-9) assuming l is positive.
l**(810/13)
Simplify ((u*u/(u/u**(-1/6))*u)/u*u/u**(-3/7)*(u**(-1/7)/u)/((((u/u**12)/u)/u*u)/u))**(3/10) assuming u is positive.
u**(593/140)
Simplify (((m**(-3)*m)/m)/m)**(3/7)/(m*m**0)**11 assuming m is positive.
m**(-89/... | {
"pile_set_name": "DM Mathematics"
} |
.1 - -27428. Is -55.7 at most z?
True
Let x = 859039/279 - 3079. Let b = 659/1116 + x. Let v = -131 + 131. Which is smaller: b or v?
v
Suppose -60 = -5*n + 5*k, -38 = -4*n - 0*n + 2*k. Let q be (0 - 0)/(17 + -19). Suppose 3*t - n + 28 = q. Is t equal to -5?
False
Let b = 137.1 - 133. Let x = b + 103.9. Is x greater tha... | {
"pile_set_name": "DM Mathematics"
} |
hich is the smallest value? (a) k (b) -3 (c) w
b
Let z = 201.2 - 188. Let v = -13.3 + z. Which is the third biggest value? (a) v (b) -5 (c) -3/8 (d) -26
b
Suppose 0 = d + 6*d - 14. Suppose 2*o - m + 11 = -2*m, o + d = -4*m. Let k be 2 - 0 - (-15)/o. Which is the biggest value? (a) -3.5 (b) 2 (c) k
b
Let t be ... | {
"pile_set_name": "DM Mathematics"
} |
m**4 + 3/2*m**n.
-m*(m - 1)**3/2
Let c be 6*2/4*840/63. Suppose 8*r + 0 = c. Factor -3*s**3 + 3/4*s**r + 3/2*s**2 + 0*s**4 + 9/4*s - 3/2.
3*(s - 1)**3*(s + 1)*(s + 2)/4
Let d(u) = -2*u**2 - 1. Let z(h) = 17*h**2 + 206*h - 10600. Let n(c) = 36*d(c) + 4*z(c). Let n(w) = 0. What is w?
103
Let c = 7/221 + 628/1105. Factor ... | {
"pile_set_name": "DM Mathematics"
} |
ositive.
f**(4095/2)
Simplify ((g*g**3)/(g/g**(-9)))**42*((g*g**1*g)**(-4/27))**(6/5) assuming g is positive.
g**(-3788/15)
Simplify ((l*l*l**1*l)**39/(l*(l/(l*l/(l*l*l**(3/2)*l*l*l)))/l*l**(-2/5)))/(l**(-2/19)*l*l**(5/2)*l**(1/3)/(l**(-7)/l)) assuming l is positive.
l**(39664/285)
Simplify (d/(d**6*d)*d)/d*((d/(d**(2/... | {
"pile_set_name": "DM Mathematics"
} |
*3 + 3*j**2 - 8*j**2. What is c(-3)?
-15
Let j(s) = s + 5. Let c = 1 - -2. Suppose -1 - c = w. What is j(w)?
1
Let z(l) = l - 2. Let s(g) = g**2 + 5*g + 4. Let h be s(-6). Let y be 2/10 + (-62)/h. Let q be -2 + y/2 - 0. Give z(q).
-7
Let b = 8 - -3. Let x(v) = -v - 9. Let w(k) = -3. Let i(c) = b*w(c) - 4*x(c). Determin... | {
"pile_set_name": "DM Mathematics"
} |
+ 1)**2*(h + 2)*(h + 5)
Let l(s) be the second derivative of -s**6/1260 - 11*s**5/420 + 13*s**4/42 - 55*s**3/2 - 2*s - 4. Let c(i) be the second derivative of l(i). Factor c(y).
-2*(y - 2)*(y + 13)/7
Let b(m) = -m**3 + 15*m**2 - 14*m. Let k be b(14). Suppose k = 13*d - 5*d - 96. Factor d*v**3 + 21*v**5 - 14*v**5 - 11*... | {
"pile_set_name": "DM Mathematics"
} |
s positive.
i**(-1837/45)
Simplify ((k*k**(-5/6)*k*k)/k**(-10))/((k/(k*k**(-1/6)*k))/(k/(k*k/k**20))) assuming k is positive.
k**32
Simplify (g*g*g**12*g/(g**13/g))/(g/g**5*g)**47 assuming g is positive.
g**144
Simplify ((g*g**(-1/7))/(g*g*((g**(1/10)/g*g*g)/g)/g*g*g))/(g**(5/4)*g**3/g) assuming g is positive.
g**(-769... | {
"pile_set_name": "DM Mathematics"
} |
or p.
-1
Let c(l) = -l - 4. Let f be c(7). Let y = f - -8. Let w be 2*((-33)/(-6) + y). Solve 19 = w*g - 6 for g.
5
Let p be (-6)/12 + (-15)/(-2). Let u = p + -4. Let l(z) = -z**3 - 8*z**2 + 7*z - 12. Let d be l(-9). Solve -u*t = -t - d for t.
3
Suppose -2*b = -7*b. Let s(j) = -j**3. Let g be s(b). Let c be (-1 - (2 - ... | {
"pile_set_name": "DM Mathematics"
} |
r = -28 + 35. Let v(o) = 4*o**2 + 4. Let x(n) = -9*n**2 - 9. Give f*x(z) + r*v(z).
z**2 + 1
Let y(m) = -2*m**2 - 34*m - 1. Let u be y(-17). Let x(b) = 3*b**2 + b - 1. Let f(p) = -p**2 + p - 1. What is u*f(i) + x(i)?
4*i**2
Let j be (4/5)/((-20)/(-50)). Let q(m) = 2 - m + 3*m**3 - j*m**3 - m**2 + 2*m - 1. Let f(t) = 6*... | {
"pile_set_name": "DM Mathematics"
} |
*y + 2*s = -2130, -253 = -p*y + 5*s + 620. What is the hundreds digit of y?
4
Suppose -99*i = 45*i - 50976. What is the tens digit of i?
5
Let d be (-54)/(-81) - (-4670)/(-3). Let t = 2193 + d. What is the tens digit of t?
3
Let c(z) = -z**2 + 5*z + 19. Let j be c(6). Let u(r) = 6*r - 30. What is the tens digit of u(j)... | {
"pile_set_name": "DM Mathematics"
} |
be the first derivative of -x**4/3 + x**2 - 9*x - 51. Let d(y) be the second derivative of t(y). Determine d(o(b)).
8*b**2
Let s(v) be the first derivative of 44*v**3 + 52 - 18*v**3 - 22*v**3. Let w(n) = 4*n. Calculate s(w(f)).
192*f**2
Let u(p) = -14*p. Let h(s) be the second derivative of -10*s**3/3 + 5*s**2/2 + 6302... | {
"pile_set_name": "DM Mathematics"
} |
.
5
Let v = -29 - -24. Let d be (2 - -2)*(-10)/v. Suppose -h - 21 = -d*h. Let s(o) = -2*o**2 + 4*o - 1. Give s(h).
-7
Let k(b) = -5*b**2 - 2*b - 4. Let v(u) = u**2 - u. Let f(r) = -8*r**2 - 8*r - 7. Let j(q) = f(q) - 3*v(q). Let t(i) = -6*j(i) + 13*k(i). Give t(-7).
11
Let m be 12/(-4)*-1*-16. Let s be (-4)/(-12)*m/(-2... | {
"pile_set_name": "DM Mathematics"
} |
is the remainder when 80 is divided by r?
8
Suppose 5*l - 177 = -g, 4*l + 3*g + 0*g - 146 = 0. Suppose 3*q = -44 - 25. Let j = l + q. What is the remainder when 45 is divided by j?
9
Let t(r) = -r + 82. Let m be (-1)/(-2)*-2*0. Calculate the remainder when t(m) is divided by 22.
16
Let f = 1373 - 1361. What is the rema... | {
"pile_set_name": "DM Mathematics"
} |
ify ((((d*d/(d/(d**(3/7)/d*d))*d)/d)/d**(-6))**32)**(-1/28) assuming d is positive.
d**(-416/49)
Simplify ((i*(i/i**(-30))/i)**(-3/5))**(-3/28) assuming i is positive.
i**(279/140)
Simplify s**29*s*s*s*s**(-22)*s*s*(s**(-4/5)*s)/(s/(((s/(s*s**30*s))/s)/s)) assuming s is positive.
s**(-109/5)
Simplify (s**(2/13)*s/(s*s*... | {
"pile_set_name": "DM Mathematics"
} |
- -113. Solve h*c + 2*p - 10 = 0, c + o*p - 4 = -c for c.
2
Let i be ((-748)/85)/(2/(-10)). Let a = i + -39. Let z = 11 + a. Solve -3*p + 3*v - 6 = 0, -2*v = 2*p - 0*v - z for p.
3
Let x = -5475 + 5486. Solve -4*o + 3*j = x - 39, 0 = -4*o - 4*j for o.
4
Suppose -32*n + 36*n - 4 = 0. Let k(d) = 9*d - 5. Let g be k(n). ... | {
"pile_set_name": "DM Mathematics"
} |
81. Sort z, 5/3, -4.
-4, z, 5/3
Let w = 23435 + -23437. Put 0.04, -220, w in descending order.
0.04, w, -220
Let u = -43.08 + 43.21. Sort u, 2, 1, 12 in decreasing order.
12, 2, 1, u
Suppose 4*o + 5*y + 125 = 0, 9*y - 6*y = -3. Let g be (0 + 3 - o)*(-1)/(-18). Sort -5, -4, 5, g in increasing order.
-5, -4, g, 5
Let k =... | {
"pile_set_name": "DM Mathematics"
} |
for n.
3
Let k be -9 + (19/(57/(-66)))/(-2). Solve k*x + 1 = r, 4*r - 77*x - 9 = -74*x for r.
3
Let f(h) = -h**3 - 16*h**2 - 19*h - 70. Let g be f(-15). Let w(q) = -q**3 - 11*q**2 + q + 120. Let i be w(g). Solve -i = -2*b - 3*d - 0*d, 4*b + d = 20 for b.
5
Let m(t) = 22*t + 599. Let r be m(-27). Solve -4*i - 2*w + 16 =... | {
"pile_set_name": "DM Mathematics"
} |
4)) + 314/(-8).
-40
Calculate 546/1183*(-65)/(-3).
10
Calculate ((-36)/252)/(1/2)*(-14)/6.
2/3
Calculate 8/(448/105) + 1/(-2)*5.
-5/8
What is (-24)/(-16) + 3/(-12)*14?
-2
What is -17 - (20/55 - (-7)/(-154)*52)?
-15
Evaluate (-1)/4*3*(-96)/1116.
2/31
Evaluate (30/(-24))/((-5)/6)*76/(-57).
-2
Calculate ((-2)/(-4))/(1/6*(... | {
"pile_set_name": "DM Mathematics"
} |
when g is divided by 139?
127
Let i(j) = -3*j + 62. What is the remainder when 237 is divided by i(-2)?
33
Let f(z) = -1022*z - 13272. What is the remainder when 1576 is divided by f(-13)?
8
Let a(d) = 50*d + 401*d + 3*d. Let r be a(-1). What is the remainder when (-6)/45 + r/(-30) is divided by 8?
7
Let l(g) = -g**3 ... | {
"pile_set_name": "DM Mathematics"
} |
) + -1 - (-7)/63*4?
4
(8 + (-10 - -3))*((-102)/(-36))/(-17)
-1/6
7/((-66)/(-6) + -12)
-7
What is the value of ((-4)/15)/((-74)/185) - 289/51?
-5
94/(-564)*(-816)/8
17
What is (1 - 0) + (-805)/851?
2/37
Evaluate 180/54*(-46)/(-10) - 1/3.
15
What is the value of (-4 - 0) + 6 - 42/63?
4/3
Calculate 213/(-1320) - (-32)/880... | {
"pile_set_name": "DM Mathematics"
} |
h - 40 - 20 = 0. Let d be q(h). Let k be ((-6)/14)/(6/(-4)). Which is smaller: k or d?
k
Let y(v) = -v**3 - 12*v**2 - 21*v + 8. Let s be y(-10). Suppose -16*n + 6 = -s*n. Which is greater: -6 or n?
n
Let q be (-2304)/9*(-4)/(-6). Let g = -9692/57 - q. Which is bigger: g or 1?
1
Let j = -7.91 - -8. Let a = j + -4.09. Le... | {
"pile_set_name": "DM Mathematics"
} |
. What is v rounded to two dps?
-0.08
Let b = 0.04696 - 26.06596. Round b to the nearest integer.
-26
Let p be 30436/(8/(-44) - 124/(-440)). What is p rounded to the nearest 1000?
304000
Let z = -32655.9977037 - -32656. Round z to five dps.
0.0023
Let h = -2008 - -2013.4. Let u = 197.8 + -217. Let n = h + u. Round n to... | {
"pile_set_name": "DM Mathematics"
} |
b - 2*p + 0*p - 16 = c, 3*p + 39 = 3*b. Let o be 2*(-75)/b*-7. What is the highest common factor of 21 and o?
21
Let k(i) = -i**2 + 18*i - 59. Let v(y) = -y**2 + 11*y - 12. Let q be v(2). Let u be k(q). What is the highest common divisor of 91 and u?
13
Let n be -9 + 36/(5 + 1). Let p(w) = 20*w**2 + 2*w + 6. Let z be p... | {
"pile_set_name": "DM Mathematics"
} |
(n**(-16/7)/n)/n)/n)/(n/(n*n**(16/5)*n))*n**(-5/4)/(n/n**(-33)))**32 assuming n is positive.
n**(-40696/35)
Simplify ((s*s**(1/2)*s)**(-4/3))**13*(s**(3/5)/s**4)/(s*s/(s*(s**0/s)/s)*s)**35 assuming s is positive.
s**(-2801/15)
Simplify (a/((a*a**(-2/9)*a)/a))**(-6)*a**3*a**(-7)/a*a**2*(a*a/(a/a**0))/a*(a**(-2)*a)**(-37... | {
"pile_set_name": "DM Mathematics"
} |
e 2*s = 4*i + 48, -3*s - 3*i + 7*i + 80 = o. What is the remainder when s is divided by 12?
8
Let v be 10 - ((-6)/(-1) + -30 + 29). What is the remainder when (-273)/(-14)*(v - 0 - 3) is divided by 19?
1
Let n(k) = -9*k - 21. Let j be n(-3). Suppose j*t + 1707 - 6003 = 0. Calculate the remainder when t is divided by 16... | {
"pile_set_name": "DM Mathematics"
} |
7
Suppose -j + 6 = 2*j. Let l(z) = 4 + 2*z - 3 - 2*z**j + 2. Let g = 9 - 6. Determine l(g).
-9
Let n be 2/7 - 48/(-28). Suppose -s - g = 4, -9 = n*s + g - 0*g. Let l(a) = 4*a**2 - 43*a - 7. Let r(c) = c**2 - 8*c - 2. Let x(w) = l(w) - 5*r(w). Give x(s).
-7
Let u(b) = -5*b**2 - b. Let r be (-3)/(21/(-35)) - 7. Let d(v) ... | {
"pile_set_name": "DM Mathematics"
} |
29*k**2 + 3. Let u(c) = 3*w(c) + 2*y(c). What is the derivative of u(p) wrt p?
-58*p
Let t(r) be the third derivative of -13*r**5/60 + 13*r**4/24 - 6*r**2. What is the second derivative of t(v) wrt v?
-26
Let x(h) be the second derivative of -1/10*h**5 - 1/2*h**2 + 0 + 0*h**4 + 0*h**3 + 2*h. Differentiate x(f) with res... | {
"pile_set_name": "DM Mathematics"
} |
ose -2*v + 3*b = 5*b - 10, 4*b = 2*v + 8. Let i(r) = r**2 - 6*r + 8. Suppose -9 = -3*d - 0. Let t be i(d). Put -5, t, v in ascending order.
-5, t, v
Let c be ((-9)/5)/(9/(-30)). Let r be 12/(-54) - (-4)/c. Put 3, r, 1/3 in ascending order.
1/3, r, 3
Suppose 0 = 4*u, 5*p = -5*u - 4 - 21. Let l(m) = -m**3 + 18*m**2 + 17*... | {
"pile_set_name": "DM Mathematics"
} |
3, 0
Let n = 80 - 76. Determine g, given that 27/5*g**3 - 21/5*g**2 - 3*g**n + 6/5*g + 0 + 3/5*g**5 = 0.
0, 1, 2
Let n = 71223/12035 + -213/83. Let t = -16/29 + n. Find r such that 0 + 4/5*r**2 - 18/5*r**3 + t*r**4 + 0*r = 0.
0, 2/7, 1
Factor -5*h**4 - h + 16*h**3 - 2*h + 8*h + 5*h**2 - 21*h**3.
-5*h*(h - 1)*(h + 1)**2... | {
"pile_set_name": "DM Mathematics"
} |
a?
a
Suppose 0 = 2*m + 3*m - 65. Let j = -6608 + 6612. Which is bigger: j or m?
m
Let b = -7 - -14. Suppose 5*z - b*z = -8. Let k be (-15)/9 + z/2. Is k greater than 2/7?
True
Let x = 71.5 + -71.5. Let j = -7 + 8. Which is smaller: j or x?
x
Let x be ((-27)/(-150))/(2/4). Let r = 288 + -21598/75. Let z = x - r. Which ... | {
"pile_set_name": "DM Mathematics"
} |
Is j at least 2?
True
Let j be (1 - -2) + 1/(-1). Let g be j - 3 - (-1579)/(-8). Let z = -198 - g. Which is smaller: z or 1?
z
Let u be 10/(6/(-3))*1. Let v be u*2/6*-3. Is v > -0.1?
True
Let k = -1945/14 - -139. Suppose 4*w + 20 = -3*v + 7*v, 4*w - v = -8. Which is greater: k or w?
k
Let j be 2/3*15*(-1)/13. Is j at l... | {
"pile_set_name": "DM Mathematics"
} |
- 70*m**2 - m - 13. Suppose z(p) = 0. Calculate p.
-16/3, -3, -1
Let w be 18/(-27)*3*6/(-4). Factor -5 - 15 - 8*q + 5*q**2 + 15*q**w + 10 + 5*q**4 - 7*q.
5*(q - 1)*(q + 1)**2*(q + 2)
Let m = 2199 + -24188/11. Let z(s) be the first derivative of -1/33*s**6 + 7/11*s**2 + 16/33*s**3 + m*s**4 - 4/55*s**5 + 4/11*s + 15. Fac... | {
"pile_set_name": "DM Mathematics"
} |
+ 10 = t + x, 5*y = -3*t for t.
-5
Suppose 232*n - 213 = 457 + 258. Solve -5*j = 2*u + 21, -3*u - 49 = -n*j - 52 for u.
-3
Suppose -15*b + 86 = -4. Suppose 92*m - 90*m = b. Solve h - 12 = m*k, -5*k + 2*h - 16 = -h for k.
-5
Let a(o) = 24*o - 4. Let f(p) = p. Let j(h) = a(h) - 12*f(h). Let d be j(5). Let n = 61 - d. Sol... | {
"pile_set_name": "DM Mathematics"
} |
/sqrt(3))*2).
8*sqrt(17)
Simplify 3 + 5*(2 + 1*(sqrt(704) + -4))**2.
-160*sqrt(11) + 3543
Simplify (sqrt(204)/((sqrt(72)*-1)/sqrt(6)))**2 + sqrt(153)/(sqrt(9) + (sqrt(729) - (sqrt(729) - sqrt(729)*1))).
sqrt(17)/10 + 17
Simplify (sqrt(1539) - (sqrt(1539) + sqrt(1539)*-4 + -2))**2 + 4*(sqrt(2299) + -2)**2.
-32*sqrt(19) ... | {
"pile_set_name": "DM Mathematics"
} |
d - n = 3*d. Which is the biggest value? (a) j (b) d (c) 5
c
Let u = 17.71 - 17.71. Which is the third smallest value? (a) u (b) 9 (c) 26
c
Let h = 0 + -19. Let t = h + 23. Which is the smallest value? (a) t (b) -4 (c) 0.3
b
Let v be (-52)/104 + (-38)/(-12) + -2. What is the third biggest value in 1, -1, v, -6... | {
"pile_set_name": "DM Mathematics"
} |
ded by 16?
12
Let x = 26 - 3. Calculate the remainder when 204 is divided by x.
20
Let d(m) = m**2 + 5*m. Let w be d(-5). Let r(k) = k**3 - k + 4. Let a be r(w). Let o = 7 - a. Calculate the remainder when 7 is divided by o.
1
Let b be (-4)/3*(-3)/(-2). What is the remainder when 1/(2/152) - b is divided by (-137)/(-7)... | {
"pile_set_name": "DM Mathematics"
} |
et j = 147/374 - -3/187. Is j bigger than -1?
True
Let r be (14/(-385))/((-34)/(-10)). Which is smaller: -1 or r?
-1
Let u be -1 + (-1 - 1) + 1. Let k be 33/u*8/12. Is -12 greater than k?
False
Let l = -73.3 + 62.3. Which is smaller: -0.09 or l?
l
Let s(y) = -y**3 - 5*y**2 - 4*y - 17. Let d be s(-5). Suppose 30 = 7*n +... | {
"pile_set_name": "DM Mathematics"
} |
is divided by (-10)/r*1*33?
47
Suppose 2*b + 5*c - 142 = 0, 130*b - 135*b - 3*c + 355 = 0. Calculate the remainder when 917 is divided by b.
65
Suppose -3*c - 17*k = -12*k + 5, -5*c - 3*k + 13 = 0. Suppose -5*n - 4*h + 443 = 0, 108 + 180 = 3*n - c*h. What is the remainder when n is divided by 33?
25
Suppose j + m - 961... | {
"pile_set_name": "DM Mathematics"
} |
(b) be the first derivative of -9*b**2/2 + 5. What is the units digit of i(-2)?
8
Suppose 2*a + 12 - 52 = 0. What is the units digit of a?
0
Let m(t) = t**3 - 7*t**2 + t + 3. Let j(k) = k**2 - k. Let h(l) = -3*j(l) + m(l). What is the units digit of h(10)?
3
Let f(t) = -3*t + 4 - 5 + 2 + 4. What is the units digit of f... | {
"pile_set_name": "DM Mathematics"
} |
3 a factor of x?
False
Let s(v) = v + 10. Let c be 1*6 + 0 - 1. Let u(i) = 2*i + 21. Let o(j) = c*s(j) - 2*u(j). Does 8 divide o(0)?
True
Suppose -5 = -0*l + l. Let o = l + 13. Is 8 a factor of o?
True
Let s be (-860)/(-18) - 2/(-9). Suppose 0 = -3*n + n + s. Is 12 a factor of n?
True
Suppose 4*z + 5 = 17. Suppose -z*o... | {
"pile_set_name": "DM Mathematics"
} |
)/(y**(2/3))**3) assuming y is positive.
y**(-34/33)
Simplify (a**(-2/7))**(-13)*((a/(a/a**(-6)))/a)/a**(-5)*((a**(-2/17)*a)/a**(6/7))**(17/7) assuming a is positive.
a**(87/49)
Simplify ((t*t**(1/8))/t**(-3/8))/(((t*t*t**(3/4))/t)/((t/t**(-1/3))/t))*((((t**(-1)/t)/t*t)/t)**(-8/9))**(2/31) assuming t is positive.
t**(9... | {
"pile_set_name": "DM Mathematics"
} |
v(w) = -45*w + 680. Let x be v(15). What is the closest to -2 in x, -2/13, 0, -6?
-2/13
Let q = 0.8377 - -0.1623. What is the closest to q in 0, 3, 4/7, 1/6?
4/7
Suppose 7 + 25 = 4*w. Suppose 2 = j, -2*z = 3*j - 4*j - 8. Suppose -2*v - z*r = -w, 0 = 2*r - 2 - 2. Which is the nearest to 0.2? (a) v (b) -0.3 (c) 2
b
L... | {
"pile_set_name": "DM Mathematics"
} |
9*k - 3. Let m be p(5). Suppose -134 = 3*z + z - 3*g, z = 5*g - m. Find the common denominator of 19/11 and 31*(-3 - z/11).
11
What is the smallest common multiple of 20 and -22*(-4)/(-8)*-2?
220
Let d(k) = 6*k - 11. What is the smallest common multiple of 3/6*(2 - -26) and d(3)?
14
Let c(z) = 0*z - 7*z + 6 + 2*z - z**... | {
"pile_set_name": "DM Mathematics"
} |
4
Let u(n) be the third derivative of 4/27*n**3 - 5/108*n**4 + 0*n + 0 + 1/540*n**5 + 1/1080*n**6 + 22*n**2. Factor u(r).
(r - 2)*(r - 1)*(r + 4)/9
Let p = 42 + -38. Factor -8*i**5 + 0*i**3 + 2*i**p - 11*i**5 + 20*i**5 + i**3.
i**3*(i + 1)**2
Let f = -161/6081 - -6403/12162. Suppose 3/5 + 1/10*m**2 + f*m = 0. Calculat... | {
"pile_set_name": "DM Mathematics"
} |
2, 17
Suppose j + 2*k = 2*j + 213, 2*k + 402 = -2*j. Let a = 321 + j. List the prime factors of a.
2, 29
Suppose 0 = 11*y - 53806 + 13711. What are the prime factors of y?
3, 5
Let p(t) = t**3 + 4 - t**2 - 3 + 5*t**2. Let c be p(-4). What are the prime factors of ((-35)/(-3))/(c/3)?
5, 7
Let m(a) = -a**3 + 9*a**2 - 14... | {
"pile_set_name": "DM Mathematics"
} |
first derivative of f(q). What is the derivative of b(w) wrt w?
-18*w**2
Let j(t) be the second derivative of -43*t**8/56 + 13*t**4/6 + 56*t. Find the third derivative of j(i) wrt i.
-5160*i**3
Suppose c = -0*c - 5. Suppose 2 - 8 = -t. Let q(y) = 3*y - 5. Let b(p) = 3*p - 4. Let n(z) = c*q(z) + t*b(z). Differentiate n(... | {
"pile_set_name": "DM Mathematics"
} |
q + l*x, 2*q - 151 = -5*x. Does 21 divide q?
True
Let y = -22 + 20. Let d(g) = g**3 + 5*g**2 + 2. Let t be d(-5). Is 15 a factor of t*((-81)/y)/3?
False
Let p = -89 - -252. Suppose -5*o + p + 92 = 0. Is o a multiple of 17?
True
Suppose -2*j - 3*j = -45. Let w be 3/j + 8/3. Suppose -2*z = w*z - 25. Is 4 a factor of z?
F... | {
"pile_set_name": "DM Mathematics"
} |
67. Let m be k(a). Solve 0 = 11*h - m + 51 for h.
-4
Let d be (-8)/(5 - 1) - -4 - -173. Let p = 195 - d. Solve -4*n + p = -8*n for n.
-5
Let v(x) = -x**3 - 10*x**2 + 10*x + 2. Let s be v(-10). Let n be (-4)/14 - 714/s. Let h be -5*(1 + n/(-5)). Solve 0 = -h*p + p for p.
0
Suppose 196*m + 3 = -4*s + 199*m, 5*s - 3*m + ... | {
"pile_set_name": "DM Mathematics"
} |
t, z, -0.1?
-0.1
Let n = 58 - 58. Suppose 0 = -f + 5*z - 28, -5*f - z = 2 + 8. Let o be 10/f*(-3)/5. Which is the closest to n? (a) o (b) 6 (c) 3
a
Let u be -28*(-204)/(-432) - -13. What is the nearest to 3/25 in -23, 2/11, 0, u?
2/11
Let p = -12905/42 - -1843/6. Let i = -0.85 - -0.15. What is the nearest to -0.1 i... | {
"pile_set_name": "DM Mathematics"
} |
et r(u) = u**3 - 10*u**2 - 38*u + 305. What is the remainder when 60 is divided by r(11)?
4
Suppose x = -2*q - 28, x + 116 = -3*x - 4*q. Let j = -26 - x. Suppose -j*z + 84 = 24. Calculate the remainder when z is divided by 6.
3
Suppose -12*w + 17*w = -4*u + 478, 4*w - 5*u - 407 = 0. Calculate the remainder when w is di... | {
"pile_set_name": "DM Mathematics"
} |
- 1096. Give s(-18).
8
Let o(y) be the first derivative of 45*y**2/2 - 525*y - 7085. Determine o(12).
15
Let w(j) be the first derivative of -2*j**3/3 + 5*j**2 - 9*j + 7. Suppose 50*b = 52*b - u - 11, -2 = -2*u. Calculate w(b).
-21
Let t = -28 - -31. Suppose -r - 1 + t = 0. Let m be (-95)/(-15) - r/6. Let k(p) = p**3 -... | {
"pile_set_name": "DM Mathematics"
} |
= -12 + 17. Let h = 58 + -59. Let t = 0.0756 + -0.0256. What is the third smallest value in h, j, t, 4?
4
Let d = -0.1992 - -5.1992. Which is the third biggest value? (a) 174 (b) d (c) 3
c
Let s be (2/(-3))/((-30)/(-585)). Let g = s - -11. Let l = 8 + -5. What is the second biggest value in l, g, 4, -5/6?
l
Let j = ... | {
"pile_set_name": "DM Mathematics"
} |
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