text stringlengths 270 8.19k | meta dict |
|---|---|
y - 32593 + 10939. What are the prime factors of y?
2, 3, 401
Let q(w) = -w + 4 - 3*w + 4*w - 4*w. Let z be q(-3). Suppose g - z = -g. List the prime factors of g.
2
Suppose 5*h = -4*i + 1887, 4*h + 2*i + i = 1509. List the prime factors of h.
3, 5
Let x be -3 - 5*(-3 - -2). Suppose -x*v = 5*o - 13, -12 - 2 = -5*o - v.... | {
"pile_set_name": "DM Mathematics"
} |
5
What is the remainder when 148776 is divided by 21249?
33
Calculate the remainder when 10933 is divided by 837.
52
Calculate the remainder when 4391 is divided by 76.
59
Calculate the remainder when 15306 is divided by 3043.
91
What is the remainder when 2447 is divided by 32?
15
Calculate the remainder when 85056 i... | {
"pile_set_name": "DM Mathematics"
} |
1
Let d(l) = 12*l**3 - 4*l**2 - 5*l + 6. Let y(b) = b**3 + b**2 - b. Let p(n) = d(n) - 5*y(n). Let s(w) = 6*w**3 - 8*w**2 + 5. What is 5*p(c) - 6*s(c)?
-c**3 + 3*c**2
Let n(j) = 13*j**3 - 6*j**2 - 6*j + 6. Let c(s) be the first derivative of 25*s**4/4 - 11*s**3/3 - 11*s**2/2 + 11*s + 55. Determine 6*c(o) - 11*n(o).
7*... | {
"pile_set_name": "DM Mathematics"
} |
-243 - -728/3. What is the closest to -0.7 in 7, -5, h, 1/8?
h
Let i = -0.08 + 5.48. Let f = i - 5. Let n be 30/(-18) + 2 + 8/(-12). Which is the closest to n? (a) -1 (b) -4 (c) f
a
Suppose -460 = 5*y + 200. Let s be (2/(-8))/(3/y). What is the nearest to s in -4, 0.1, -2/15?
0.1
Let c = -4326/5 - -866. What is the ... | {
"pile_set_name": "DM Mathematics"
} |
125772.74
What is 21974190305323 take away -1?
21974190305324
What is 1.074584517909 plus 533?
534.074584517909
What is 724.792034 + 0.42212?
725.214154
What is the distance between -0.2 and -3.51428242590753?
3.31428242590753
Calculate 413014757852 + 6.
413014757858
5223643+-23061004
-17837361
Calculate 10 - -23240773... | {
"pile_set_name": "DM Mathematics"
} |
2.9 * 0
0
What is 57.8 times 6947?
401536.6
-5923*970
-5745310
55737*-193.8
-10801830.6
4*2402.944
9611.776
Multiply -21101 and -8.065.
170179.565
0.021648*-401
-8.680848
Work out -55.492974 * 2.
-110.985948
-11132879 times -2
22265758
What is the product of -50561763 and -0.1?
5056176.3
Multiply 70057.361 and -12.
-84... | {
"pile_set_name": "DM Mathematics"
} |
361*h - 11
What is the i'th term of 108, 90, 54, -6, -96, -222, -390, -606?
-i**3 - 3*i**2 - 2*i + 114
What is the b'th term of -147, -184, -225, -270, -319, -372?
-2*b**2 - 31*b - 114
What is the q'th term of 55, 52, 47, 40, 31?
-q**2 + 56
What is the b'th term of -58, -81, -130, -217, -354, -553, -826, -1185?
-2*b**3... | {
"pile_set_name": "DM Mathematics"
} |
75, 741, 1083, 1507?
c**3 + 23*c**2 - 2*c + 51
What is the j'th term of 7, 14, 25, 40?
2*j**2 + j + 4
What is the j'th term of 14437, 14436, 14435, 14434, 14433?
-j + 14438
What is the s'th term of 18, -9, -78, -213, -438, -777?
-4*s**3 + 3*s**2 - 8*s + 27
What is the z'th term of -21, -24, -27, -30, -33?
-3*z - 18
Wha... | {
"pile_set_name": "DM Mathematics"
} |
153*u**3 + 2991*u + 2.
20*u**3 - 918*u
What is the second derivative of -4*x**5 + 27*x**4 + x**2 - 4194*x?
-80*x**3 + 324*x**2 + 2
Find the second derivative of 812*b**2*z**4 - 4*b**2*z + 12*b**2 - 2*b*z + 2*z**4 wrt z.
9744*b**2*z**2 + 24*z**2
Find the second derivative of -16416*x**2 + 11879*x.
-32832
What is the sec... | {
"pile_set_name": "DM Mathematics"
} |
n*d**2 + p + u*d + m*d**3 and give m.
141
Express 7810*g - 6 + 32 - 28 + 2 in the form s*g + b and give s.
7810
Express (-4 + 5 - 2*b + 3*b)*(-1165*b**2 - 254054*b + 254054*b) in the form m*b**3 + q*b**2 + j + v*b and give j.
0
Express 12*c**2 + 4*c + 19*c**4 + 9*c**2 - 36*c**2 + 14*c**2 + 12 - 41*c**4 in the form f*c*... | {
"pile_set_name": "DM Mathematics"
} |
-4)/58?
2/29
Evaluate -2*(-1 - -5)*1424/39872.
-2/7
Calculate 2/(-5*4*(-1)/(-130)).
-13
What is 11 - (2 + -4)/((-53)/106)?
7
What is 656/108 + -2 + 8/(-6)*3?
2/27
What is (2/8)/(((-2)/(-6))/(128/(-60)))?
-8/5
Evaluate 11/33*3/(-2) + (-54)/4.
-14
(-348)/(-261)*(-1)/(-14)
2/21
Calculate (-30)/(-152) - (-192)/3648.
1/4
Ca... | {
"pile_set_name": "DM Mathematics"
} |
culate c.
-1, 0, 1
Let b be (20/16)/(1/4). Let s(z) be the second derivative of -7/20*z**b + 0 + 0*z**2 + 3*z + 0*z**3 + 1/6*z**4. Factor s(t).
-t**2*(7*t - 2)
Solve -4/3*p**3 + 10/3 + 31/3*p - 37/3*p**2 = 0 for p.
-10, -1/4, 1
Let t(x) be the first derivative of -2*x**6/21 + 16*x**5/35 - 5*x**4/7 + 8*x**3/21 - 5. Fact... | {
"pile_set_name": "DM Mathematics"
} |
**7/2520 + k**6/720 - 17*k**4/2 + 86*k. Let z(o) be the third derivative of w(o). What is z(1)?
-16
Let a(p) be the third derivative of -p**4/12 + 5*p**3/3 - 6*p**2 - 38*p. Suppose -13 - 13 = -j. Suppose -j = -5*f + 14. Determine a(f).
-6
Suppose -90 = -8*i - 282. Let b = -22 - i. Let x(g) = -b - g + 4 + 2*g - 2*g. Cal... | {
"pile_set_name": "DM Mathematics"
} |
2. Let p = 1.9 - 1.5. Which is the closest to j? (a) 4 (b) -1.9 (c) p
c
Let x be (-146)/1 + 41 + -37. Let o = x - -177. Which is the nearest to o? (a) -1 (b) 0.3 (c) 0.2
b
Let f = -1.04 + -0.26. Let c = f + 0.3. Let z = 10822.6 - 10823. What is the closest to -0.2 in z, c, 3?
z
Let j = 41344/7 + -5906. What is th... | {
"pile_set_name": "DM Mathematics"
} |
4
Put 2, -14, -2/17 in increasing order.
-14, -2/17, 2
Sort -8, -34, 1 in descending order.
1, -8, -34
Sort 1, -16, 0, 2, -5 in descending order.
2, 1, 0, -5, -16
Sort 0, -0.1, 1.4 in decreasing order.
1.4, 0, -0.1
Put -5, 52, 6 in descending order.
52, 6, -5
Sort 2, -11, 0, 40 in decreasing order.
40, 2, 0, -11
Put -1... | {
"pile_set_name": "DM Mathematics"
} |
f?
5
Let y = -240 - -245. Let g = -1.3 - -0.3. Which is the smallest value? (a) g (b) -4/7 (c) y
a
Let i = -4 + 4.4. Let u = -8/45 - 1/45. Which is the third smallest value? (a) u (b) i (c) -3
b
Let p(o) = o**3 - 2*o - 1. Let d be p(-1). Let l = -0.12 + -0.18. What is the smallest value in l, -5, d?
-5
Let f = 87... | {
"pile_set_name": "DM Mathematics"
} |
4*z
Collect the terms in -5861*f**3 - 17839*f**3 + 23701*f**3.
f**3
Collect the terms in 7512 + 9*i**2 - 14997 + 7485.
9*i**2
Collect the terms in 34*f**2 - 73*f**2 + 34*f**2 - 6*f**3.
-6*f**3 - 5*f**2
Collect the terms in 2*z + 2*z**2 + 59*z - 117*z + 56*z.
2*z**2
Collect the terms in 338919*c**3 - c**2 - 338963*c**3 ... | {
"pile_set_name": "DM Mathematics"
} |
Do 173 and 175 have the same value?
False
Is 85339 smaller than 85314?
False
Which is bigger: 11897 or -2?
11897
Which is smaller: 311 or -355?
-355
Which is smaller: 0.744 or 0.1085?
0.1085
Is -47 less than or equal to -8?
True
Which is smaller: 4800 or 4570?
4570
Which is smaller: -93219 or -93216?
-93219
Do 0.005 an... | {
"pile_set_name": "DM Mathematics"
} |
8 - -19) + -22?
-8
What is -20 - (-6 - -7 - (8 - 1))?
-14
Calculate -119 - -111 - (-2 + 23).
-29
What is (-7 - (-4 + -3)) + -11?
-11
What is the value of 2 + (1 + 2 - 12)?
-7
What is the value of (-1 + -7 - -19) + (-5 - -3 - -19)?
28
Evaluate 2 + 2 - (39 + -37) - 4.
-2
What is the value of 5 + -4 + -4 - (5 - 14) - 4?
2... | {
"pile_set_name": "DM Mathematics"
} |
e third smallest value? (a) -5/3 (b) w (c) 2
c
Let x = 35 - 29. Let a = -0.05 + -0.05. Let b = a + 4.1. What is the second biggest value in 5, b, x?
5
Let j = -28.5 - -12.9. Let d = j + 16. What is the third biggest value in 2, 0.2, 1/3, d?
1/3
Suppose 3*k - 3*v - 9 = -0*k, -5*k - 3*v - 25 = 0. Let o be 2/(-21) - (3... | {
"pile_set_name": "DM Mathematics"
} |
at comes next: 62886, 63131, 63368, 63591, 63794, 63971, 64116?
64223
What is the next term in -15378, -36506, -57636, -78768, -99902, -121038?
-142176
What comes next: -17129, -11015, -805, 13507, 31927, 54461, 81115?
111895
What is next in -300669, -299679, -298687, -297693, -296697, -295699, -294699?
-293697
What is... | {
"pile_set_name": "DM Mathematics"
} |
Let c = -311 + 312. What are the prime factors of -8 - (c - 5) - (-800)/2?
2, 3, 11
Let o be (0 - -4) + (1 - 1) + -3. Let u be -1 + o*(-3)/(-9)*9. Suppose 2*s - u*w = -2*s + 482, 0 = -4*w + 12. What are the prime factors of s?
2, 61
Let x = 30615 - 10884. What are the prime factors of x?
3, 6577
Suppose -4 = -2*m, -337... | {
"pile_set_name": "DM Mathematics"
} |
number?
False
Is 2831 composite?
True
Is 4890251 a composite number?
False
Is 269867 prime?
False
Is 71773 a composite number?
True
Is 208381 composite?
True
Is 6121 a composite number?
False
Is 4201 prime?
True
Is 40813 prime?
True
Is 1732099 composite?
True
Is 29219 a composite number?
True
Is 24803 a prime number?
F... | {
"pile_set_name": "DM Mathematics"
} |
ided by 61?
55
What is the remainder when 5225 is divided by 40?
25
Calculate the remainder when 1976 is divided by 46.
44
What is the remainder when 666 is divided by 218?
12
What is the remainder when 118 is divided by 52?
14
What is the remainder when 4739 is divided by 4734?
5
What is the remainder when 56 is divid... | {
"pile_set_name": "DM Mathematics"
} |
d be 175 + -1 - j*8/(-4). Let a = d - 77. What are the prime factors of a?
3, 11
Let o = -254 + -21. Let t(c) = 94*c - 90. Let m be t(6). Let r = o + m. What are the prime factors of r?
199
Suppose -3*f - 8*k + 10*k - 12 = 0, 2*k = 2*f + 6. What are the prime factors of (-24 + 26)/((-2)/f)?
2, 3
Suppose -18*q + 3952 =... | {
"pile_set_name": "DM Mathematics"
} |
i(1) is divided by d(9)?
15
Let b be 40/30*-3 + 5 + -1. Suppose 8 = 2*s - b. Calculate the remainder when 22 is divided by s.
2
Suppose -9*a - 29 = -56. Suppose 27 = t - a*l, 4*t - 2*t + 2*l = 14. What is the remainder when 225 is divided by t?
9
Let f(p) = 4*p**2 - 4*p - 182. Calculate the remainder when f(11) is div... | {
"pile_set_name": "DM Mathematics"
} |
+ 2*j**3 + 8*j**2.
4*j**2*(j + 2)
Let j be (14/(-32))/((-1)/4). Suppose 10 = -3*f + 2*d + 14, 0 = 3*f + 2*d - 8. Factor -1/2*h - j*h**3 + 0 - 9/4*h**f.
-h*(h + 1)*(7*h + 2)/4
Determine c, given that 3*c**4 + 5*c**4 - 24*c**3 + 7*c**4 - 27*c**2 + 12 + 24*c = 0.
-1, -2/5, 1, 2
Suppose -214*a + 205*a + 18 = 0. Determine y... | {
"pile_set_name": "DM Mathematics"
} |
common denominator of -102*(4/x)/(-28) and 75/(-2)*(-68)/935.
77
Let g = -148081/48 + 3083. Let p = 4973 - 49653/10. Calculate the common denominator of p and g.
240
Suppose x - 2*x + 71 = 5*l, 5*x + 50 = 2*l. Calculate the smallest common multiple of 15 and l.
15
Suppose -v = -94 - 48. Calculate the lowest common mul... | {
"pile_set_name": "DM Mathematics"
} |
*g, 5*a + 20 = -v*g for g.
-7
Let w(t) = t**2 - 30*t + 108. Let r(k) = -2*k**2 + 57*k - 218. Let v(q) = 2*r(q) + 5*w(q). Let z be v(33). Solve 5*x = -5*s - 50, -19 = z*s + 6 for x.
-5
Let k(t) = -t**2 - 29*t - 208. Let o be k(-13). Suppose o = 23*x + 7*x. Solve x = -5*b + 4*q - 23, 2*b - q + 3 = -5 for b.
-3
Suppose -6... | {
"pile_set_name": "DM Mathematics"
} |
prob of sequence xff?
1/170
Calculate prob of sequence jl when two letters picked without replacement from {j: 2, l: 3}.
3/10
Three letters picked without replacement from {v: 1, n: 1, c: 1, i: 2}. Give prob of sequence nvi.
1/30
Two letters picked without replacement from {b: 1, x: 13, p: 3}. What is prob of sequence... | {
"pile_set_name": "DM Mathematics"
} |
What is the hundreds digit of m?
7
Suppose -5*z - 2172 = -4*s - z, -2*z - 2182 = -4*s. What is the tens digit of s?
4
Let g(k) = 2*k - 2 - k**2 - 4*k + k + 4. Let v be g(-5). What is the units digit of v/(-3) - 2 - -28?
2
Suppose -2*k + 1929 = -3*n, -4*n = -k - 154 + 1116. What is the units digit of k?
6
Suppose 7 = 4... | {
"pile_set_name": "DM Mathematics"
} |
- 6*v - 182
What is the g'th term of -977141591, -977141590, -977141589, -977141588, -977141587, -977141586?
g - 977141592
What is the x'th term of -4092, -3717, -3064, -2109, -828, 803, 2808?
4*x**3 + 115*x**2 + 2*x - 4213
What is the f'th term of 252000, 249092, 246184, 243276?
-2908*f + 254908
What is the t'th term ... | {
"pile_set_name": "DM Mathematics"
} |
divided by 13?
6
Let y(c) = -4*c - 1. Let r(x) = 28*x + 1. Let p(s) = -r(s) - 6*y(s). What is the remainder when ((-60)/14)/(1/(-7)) is divided by p(0)?
0
Let t be 10/(-20)*(-76)/1. Suppose 6*b - t = -x + 8*b, -4*x = -2*b - 182. Calculate the remainder when x is divided by 25.
23
Let a be 254/(-4) - 111/(-74). What is ... | {
"pile_set_name": "DM Mathematics"
} |
7*y**3
Collect the terms in 556*o**3 - 1147*o**3 + 572*o**3.
-19*o**3
Collect the terms in 463 - 1454*r**2 - 463 - 1297*r**2.
-2751*r**2
Collect the terms in 184*z**3 + 17*z**2 - 347*z**3 + 167*z**3.
4*z**3 + 17*z**2
Collect the terms in -1902*t + 965*t + 938*t.
t
Collect the terms in -8656*h**3 + 4223*h**3 + 4437*h**3... | {
"pile_set_name": "DM Mathematics"
} |
5*t**5) - 4*t**2 + 31*t**5 + 15*t**2 - 11*t**2.
32*t**5
Expand (-2*u**3 - u + u)*(-51*u**2 - 52*u**2 - 17*u**2) - u**5 - 2*u**5 + 6*u**5.
243*u**5
Expand (-r + 3*r + 2*r + (-r + 0*r + 4*r)*(-6 - 5 - 4))*(2*r + 0*r + 0*r)*(5 - 5 + 1) + r**2 - 6*r**2 + 4*r**2.
-83*r**2
Expand 3462 - 3462 + 284*p**5 + (p - p**4 - p)*(4*p ... | {
"pile_set_name": "DM Mathematics"
} |
- 5*z - 22, -2*u - 5*z = -180. Suppose q + u = 3*k, k + q = 2*q + j. What are the prime factors of k?
2, 3, 5
What are the prime factors of (-8 + 12 + -5)/((-2)/1526)?
7, 109
Let i = -2580 + 4767. What are the prime factors of i?
3
Let u = -80 + 114. List the prime factors of 10/(-8)*(12/6 - u).
2, 5
Let r be 20/35 + 3... | {
"pile_set_name": "DM Mathematics"
} |
factor of j and 231.
21
Let j = -5 - 9. Let k be (j/(-4))/((-2)/(-4)). Let s be ((-52)/(-6) + -8)*42. What is the greatest common divisor of s and k?
7
Let p(f) = -f**3 + 9*f**2 + 11*f - 2. Let h be p(10). Suppose -h*m + 4 = -10*m. Let i be 3/(1*m/(-18)). Calculate the highest common factor of i and 3.
3
Suppose 104*k ... | {
"pile_set_name": "DM Mathematics"
} |
s + 14*d = 176, -4*s - 5 = 229*d - 230*d for s.
2
Solve 30 = -2*l - f, -4*l - 11 = -f + 45 - 2 for l.
-14
Solve -5*p = 5*s - 50, 2*s - 35 = -p - 29 for p.
14
Solve 3*c = -v - 1, 17*c + 4*v - 12 = 13*c for c.
-2
Solve 2*a - 8*s = -14, -2*a - 25*s - 6 = -29*s for a.
1
Solve -5*p + 33*k + 25 = 31*k, -5*p - 4*k + 55 = 0 fo... | {
"pile_set_name": "DM Mathematics"
} |
Determine p*z(x) + 4*n(x).
-x + 1
Let c(x) = 8*x. Suppose 3*g - 21 = -5*b + 9, -g = 0. Let t(n) be the third derivative of -3*n**4/8 + 3*n**2 + 4652*n. What is b*c(w) + 5*t(w)?
3*w
Suppose -8*i = 1957 - 805. Let z = i + 146. Let f(o) = 4*o**2 - 6*o - 10. Let a(m) = -m**2 + 2*m + 3. What is z*f(q) + 7*a(q)?
q**2 + 2*q +... | {
"pile_set_name": "DM Mathematics"
} |
e 2*u + 2 = 6. Find the third derivative of 0*p**2 + 3*p**4 - 2*p**2 + 11*p**2 + 2*p**u wrt p.
72*p
Let x(p) = p**2 + 5*p + 5. Let u be x(-5). Let l be 0 - (-2 + (-2 - -2)). What is the third derivative of -l*n**2 + n**2 - n**2 - 2*n**u wrt n?
-120*n**2
Differentiate -77*g + 76*g + 21*g**3 - 97 - 9*g**3 wrt g.
36*g**2 ... | {
"pile_set_name": "DM Mathematics"
} |
*y + a, 0 = -4*z + 5*y + 11 for z.
-1
Suppose 5*n = -2*j - 0 + 28, -4*j = 3*n - 14. Let k be (-2)/1 - (-60)/n. Let c be (-8)/32 + 138/k. Solve -3*g - x - c = -0*x, 2*g + x + 12 = 0 for g.
-5
Let f(s) = -s**3 + 6*s**2 - 4*s - 1. Let u be f(4). Let z = 11 - 8. Let r = 0 + z. Solve -m + 0 = b + r, 4*b - 5*m = u for b.
0
L... | {
"pile_set_name": "DM Mathematics"
} |
**(1/8))) assuming u is positive.
u**(9/40)
Simplify k/(k/(k/(k*k**(2/11)*k)))*k/k**7*k**(-7)/k**2 assuming k is positive.
k**(-178/11)
Simplify a*a*a/a**14*a/(a*a**10*a)*a assuming a is positive.
a**(-21)
Simplify ((s*(s**(-27)/s)/s)/s*s)**(-28) assuming s is positive.
s**784
Simplify (j**(1/2)/((j/(j*j*j*(j/(j**(-1/5... | {
"pile_set_name": "DM Mathematics"
} |
Let l = -28/11 + 218/77. What is the common denominator of l and (-182)/10 - (-2)/10?
7
Let d(y) = y**2 + 4*y + 3. Let i be d(-4). Suppose -i*r = -3*z + 48, -3*z + 3*r - r = -45. Calculate the smallest common multiple of z and 11.
143
Suppose -3*b + 15 = -27. Let o be (16/10)/((-3)/(-30)). Let h = 22 - o. What is the s... | {
"pile_set_name": "DM Mathematics"
} |
*g - 770. What are the prime factors of j?
2, 79
Let h(z) = 2*z**2 + 0*z**2 + 15*z**3 - 12 - 8*z**3 - 6*z**3 - 7*z. Let l be h(-3). Suppose l = 3*j - 5 - 22. List the prime factors of j.
3
Let t(j) = 2*j - 53. Let r = -41 + 41. Let x be t(r). Let y = x - -177. List the prime factors of y.
2, 31
Let n(m) = -9*m + 71. Le... | {
"pile_set_name": "DM Mathematics"
} |
order.
-6, -2, 0, x
Let y = -26 - -28. Let t be 0*((-5)/y)/(-5). Let s be (20/(-12))/(1/3). Sort s, 4, t.
s, t, 4
Let z be (-1)/1 + (-69)/(-63). Let q = -5 + 1. Let k = -9 - q. Sort k, 1, z in increasing order.
k, z, 1
Let w be (-12)/(-14)*(2 + 9/6). Sort w, 1, -3/7, -0.02 in increasing order.
-3/7, -0.02, 1, w
Let y ... | {
"pile_set_name": "DM Mathematics"
} |
mmon denominator of -49/299 and -14/325?
7475
What is the common denominator of -163/1716 and 23/234?
5148
Calculate the smallest common multiple of 871 and 5.
4355
What is the lowest common multiple of 198 and 540?
5940
Calculate the smallest common multiple of 18 and 1389.
8334
Calculate the least common multiple of ... | {
"pile_set_name": "DM Mathematics"
} |
2 + m + t*o**3 + s*o and give m.
0
Rearrange -62*i**3 + 1901 + 60*i**3 + i - 1905 + 10*i**2 + 7*i**4 to the form o*i + t + y*i**2 + l*i**4 + x*i**3 and give x.
-2
Express 102*q**2 + 1547*q + 67*q**2 - 1553*q as u*q + z*q**2 + g and give z.
169
Rearrange -151*f**3 + 19*f**2 - 19*f**2 + 37 - f**4 + 146*f**3 - f to o*f**4... | {
"pile_set_name": "DM Mathematics"
} |
for l.
-1
Solve -17*x - 23 = 5*a - 16*x, a + 11*x + 37 = 0 for a.
-4
Solve 5*j - 10 = -5*l, 487*j = l - 491*j + 980*j for l.
4
Solve 4*b = -m + 16, -58 = -b - 3*m - 65 for b.
5
Solve 18*p - 5 = 5*p + 8*p, -p - 2*p = -t for t.
3
Solve -1175*o - 24 = -1169*o, -4*o = 4*m + 20 for m.
-1
Solve f + 7884 = -3*i + 7888, 3*f = ... | {
"pile_set_name": "DM Mathematics"
} |
d = -5*b + 18, -7 + 4 = -d. Let w = -3 - -2. Let j(m) = -2*m**2 + m + 2. Let o be j(w). Sort o, 1, b.
o, 1, b
Let o be ((-2)/(-4)*-1)/(-1). Let n = -20 - -9. Let u = n - -6. Sort 1, o, u.
u, o, 1
Suppose 0 = 2*m - 4, -4*y - 5*m + 2 = -2*y. Let z = -173 + 176. Put -5, z, y in ascending order.
-5, y, z
Let x = 31 + -33.... | {
"pile_set_name": "DM Mathematics"
} |
16. Let q be w(7). Let d = q - -9. Which is the closest to d? (a) 0 (b) i (c) 2
a
Let h = -17 - -103/6. Let n = -725/1659 + 2/237. What is the closest to 3 in -5, h, n?
h
Let q = -0.16 + 1.36. Let h = 0.2 - q. Which is the closest to h? (a) -0.5 (b) 4 (c) 0
a
Let j = -13 + 15. What is the closest to -2/5 in j, -... | {
"pile_set_name": "DM Mathematics"
} |
x or d?
d
Let w be ((46608/(-63))/1)/2. Let c = 370 + w. Which is smaller: c or -1?
-1
Let g be 6/(-4)*(-8)/(-18). Let t(i) = -2*i**3 - 2*i**2 + 3*i + 2. Let v be t(2). Let n be -8 - -5 - v/6. Which is smaller: n or g?
g
Let c(q) = -11*q**2 + 1. Let l be c(-1). Let s be (-7)/30 + (-4)/l. Which is smaller: -1 or s?
-1
L... | {
"pile_set_name": "DM Mathematics"
} |
base 2, what is 1111100 - -110111110011000001?
110111110100111101
In base 16, what is -c8 - ae19b?
-ae263
In base 6, what is 1510445 + -2111?
1504334
In base 8, what is 775362413 + -1?
775362412
In base 3, what is 11 + 1000022010010121?
1000022010010202
In base 2, what is 11 - 1011100110101000101000110?
-10111001101010... | {
"pile_set_name": "DM Mathematics"
} |
lify ((j**(1/3)/j)/(j**(-2/37)*j))**(-3) assuming j is positive.
j**(179/37)
Simplify (p/p**(-34)*p)/p**29*((p*p**(-39)*p)/p*p)/(p/(p/p**0)) assuming p is positive.
p**(-30)
Simplify (s/s**(-3))/s**(-2)*(s*s**(-1/17)*s)**(-30) assuming s is positive.
s**(-888/17)
Simplify (((z*z*z**(-6))/z*z**(-2/13)*z)**(1/4))**(4/9) ... | {
"pile_set_name": "DM Mathematics"
} |
late the remainder when 349 is divided by 114.
7
Calculate the remainder when 77 is divided by 39.
38
What is the remainder when 627 is divided by 30?
27
Calculate the remainder when 13 is divided by 4.
1
Calculate the remainder when 4450 is divided by 27.
22
Calculate the remainder when 4436 is divided by 185.
181
Wha... | {
"pile_set_name": "DM Mathematics"
} |
o the power of 1/2, to the nearest integer?
109
What is 1179 to the power of 1/4, to the nearest integer?
6
What is the third root of 83422 to the nearest integer?
44
What is the cube root of 4434 to the nearest integer?
16
What is 59395 to the power of 1/2, to the nearest integer?
244
What is the seventh root of 435 t... | {
"pile_set_name": "DM Mathematics"
} |
e of 11?
False
Does 33 divide 3541?
False
Is 74605 a multiple of 43?
True
Is 44 a factor of 5382?
False
Does 24 divide 336?
True
Is 14 a factor of 196?
True
Does 230 divide 20622?
False
Does 47 divide 18283?
True
Is 52 a factor of 1560?
True
Is 58463 a multiple of 19?
True
Is 17 a factor of 1802?
True
Is 31668 a multip... | {
"pile_set_name": "DM Mathematics"
} |
11
-241242 (base 5) to base 12
-5217
What is 160b (base 14) in base 6?
30111
Convert 4420 (base 6) to base 5.
13040
Convert -10001101001111 (base 2) to base 5.
-242124
What is -34 (base 13) in base 16?
-2b
Convert -a4 (base 12) to base 2.
-1111100
What is -3c5 (base 13) in base 10?
-668
-14b2 (base 12) to base 15
-ac8
... | {
"pile_set_name": "DM Mathematics"
} |
**2 - 11*r**2 + 3*r**2 + w.
-5*(r - 1)*(r + 1)
Let d = 3587/18 - 286/9. Let k = d - 167. Determine o so that 0 + o**2 - k*o = 0.
0, 1/2
Let l(k) be the third derivative of -2/39*k**3 + 0 + 1/195*k**6 + 4*k**2 - 4*k - 1/30*k**5 + 11/156*k**4. Factor l(x).
2*(x - 2)*(x - 1)*(4*x - 1)/13
Let h(o) = -6*o**3 - 18*o**2 - 8*o... | {
"pile_set_name": "DM Mathematics"
} |
sqrt(36)/sqrt(4)) - sqrt(10)))/((sqrt(180)/sqrt(3)*-2)/((-1*sqrt(144))/sqrt(12))).
sqrt(2)/12
Simplify (0 + ((sqrt(128) + sqrt(128)*1 + -2)**2 - (-4*sqrt(128)*1)**2 - (sqrt(128) + 1*(sqrt(128) + sqrt(128) + -1) - sqrt(128) - (5 + 1 + sqrt(128))**2)))*4.
-5468 + 64*sqrt(2)
Simplify (-1*(-2*sqrt(425)*2 + (sqrt(425) + -1)... | {
"pile_set_name": "DM Mathematics"
} |
or m.
-1
Suppose 4*w - 32 = 20. Let x = 0 + 0. Let s be (x - 1)/((-1)/w). Solve -s = -2*v - 3 for v.
5
Let k(b) = b + 18. Let f be k(0). Suppose -f = -5*v + 32. Solve 0*n = 5*n - v for n.
2
Let h(k) = 2*k - 3. Let m be h(6). Suppose -4*n = m - 41. Suppose -n*w = -4*w - 20. Solve -5*p - 20 = w for p.
-5
Let n = -14 + 6.... | {
"pile_set_name": "DM Mathematics"
} |
ate the remainder when -6 + 472/6*y/20 is divided by 14.
11
Suppose -59*c = -230*c + 17100. Calculate the remainder when 289 is divided by c.
89
Let t(d) = 5*d**2 - 2*d - 6. Let g be t(-2). Suppose 0*p = p + 2*w - 17, 0 = -4*p - w + 68. What is the remainder when 1492/18 + 2/g is divided by p?
15
Let u = 346 - 356. Wha... | {
"pile_set_name": "DM Mathematics"
} |
base 13, what is 4 - -9a?
a1
In base 14, what is 120 - 1?
11d
In base 2, what is 1011111 + 11101?
1111100
In base 13, what is -c07 - 4?
-c0b
In base 11, what is 0 + -1547?
-1547
In base 7, what is -16115 + -1?
-16116
In base 10, what is 3 - 629?
-626
In base 8, what is 2 + -110?
-106
In base 9, what is -5 - -124?
118
I... | {
"pile_set_name": "DM Mathematics"
} |
e (0 - 8 - 1)*(2 - 1). Let z(o) = o**3 + 9*o**2 + 2*o + 21. Let q be z(n). What is the third smallest value in 1/7, -2/7, -1, q?
1/7
Let i be 4/(-14) + 37/7. Suppose -809*s + 800*s + 18 = 0. What is the smallest value in s, -2, i, 0.4?
-2
Let u = 24 + -21. Let d = 142 - 138. What is the fourth smallest value in 0.5, d,... | {
"pile_set_name": "DM Mathematics"
} |
-8.5 + -0.5. Let o = x - -8.6. What is the third smallest value in o, -0.6, -4?
o
Let n be -2 - (12 + -6)*52/(-162). What is the second biggest value in 0.5, n, -4?
n
Let x be (-1)/(-5) + (-5)/15. Let b be 8/(-5) + 2/1. What is the third smallest value in x, b, 4?
4
Let p = -0.8 + -4.2. Let k be 0*2/4*1. Suppose k = j... | {
"pile_set_name": "DM Mathematics"
} |
, l: 3}. What is prob of picking 1 a and 1 w?
2/51
What is prob of picking 3 q when three letters picked without replacement from {q: 12, f: 6}?
55/204
Two letters picked without replacement from dqqb. What is prob of picking 1 d and 1 q?
1/3
Two letters picked without replacement from {d: 1, q: 2, n: 5, e: 4, w: 4}. G... | {
"pile_set_name": "DM Mathematics"
} |
, 3*s = 3*n + 3 for s.
2
Let o(u) = -4*u**2 + 5*u - 11. Let s(q) = q**2 + q + 1. Let r(a) = o(a) + 5*s(a). Let d be r(-11). Solve 2*z + 2*j = 6*z - 8, -3*z - 7 = d*j for z.
1
Let b(u) = u**3 + u**2 - 2*u + 3. Let s be b(-5). Let f = s + 91. Solve f*l + 2*d = 18, 3*l + 4 = 5*d - 2 for l.
3
Let a(w) = -w**3 + 8*w**2 + 22... | {
"pile_set_name": "DM Mathematics"
} |
n g, 3, 5?
g
Let g = 19665 - 137657/7. What is the nearest to g in -2/1213, -2, -3/4?
-2/1213
Let t be (-106)/(-90) - 203/145. Which is the nearest to t? (a) -0.4 (b) 5 (c) -4/15
c
Suppose 0 = j + 4*j + x - 17, -9 = 3*x. Suppose -w - 5 = 4*h, -15 = -w + j*w. Let q be (-24)/(-35) + (-4)/10. Which is the closest to -0... | {
"pile_set_name": "DM Mathematics"
} |
0. Suppose 4005 = 5*b + 2*l - 7*l, u = 4*b + 3*l. Round b to the nearest 1000.
1000
Suppose -4133 = -3*u - n - 1256, 0 = 5*u - 5*n - 4815. Round u to the nearest one hundred.
1000
Let m = -26 + -17. Let u = 42.9999967 + m. Round u to 6 decimal places.
-0.000003
Let w = 336 - 333.03. Let y = -3 + w. Let m = 0.18 + y. R... | {
"pile_set_name": "DM Mathematics"
} |
alse
Let o = -32/2833 - 373796/14165. Suppose -5*r = -4*u + 151, -2 = u - 6. Which is greater: o or r?
o
Let f = -0.12 - -3.62. Let s = 270 - 285.3. Let n = 16.3 + s. Which is bigger: f or n?
f
Suppose 57*w = -56*w + 3835 + 798. Which is greater: -32 or w?
w
Suppose 70*a - 62*a = 976. Let w = 121 - a. Is -3/220 greater... | {
"pile_set_name": "DM Mathematics"
} |
et j(v) = -v**2 - 1900*v - 63067. Determine j(-34).
377
Let u(b) = -45*b - 3375. What is u(-72)?
-135
Let o(c) = c**3 - 19*c**2 - 104*c - 30. Determine o(-12).
-3246
Let r(o) = o**3 - 10*o**2 - 711*o + 8275. Determine r(12).
31
Let l(b) = 13*b**2 + 1086*b - 57989. Calculate l(37).
-10
Let y(c) = -c + 1495. Determine y(... | {
"pile_set_name": "DM Mathematics"
} |
p**2 - 7*p + 3. Let h be x(8). Solve y = q, -2*z = -0*z + 5*q - h for z.
5
Suppose -12 = -2*r - 4. Suppose 0 = m + r*m. Solve 2*x = -4*w - 8, m = -5*w + x + 6 - 30 for w.
-4
Suppose 0 = -4*v + 2*v + 6. Let i = v + 0. Let x = 4 + 18. Solve 0 = -2*s + 10, -c - i*s + x - 5 = 0 for c.
2
Let p be -2 + ((-6)/(-30) - 27/(-15)... | {
"pile_set_name": "DM Mathematics"
} |
9*o**3
Expand (0 + 0 + g**2)*(-3 - 3 - 1).
-7*g**2
Expand (-54 - 5*f + 54)*(5*f - 2*f - f) + 0*f + 0*f + 2*f**2 + 2.
-8*f**2 + 2
Expand -4*p**2 + 0*p**2 + 3*p**2 + (-p + p + p)*(p - 4*p + p) + 2*p**2 - 6*p**2 + 3*p**2 + 10*p - 10*p - 3*p**2.
-7*p**2
Expand (14 - 12 + 10)*(l - 2*l + 3*l).
24*l
Expand (-2*w - 2*w + 6*w)*... | {
"pile_set_name": "DM Mathematics"
} |
0).
-34
What is -51 + (41 - 59) - -114?
45
What is (3 - (-2 + (-18 - -11))) + -37 + 12 - 83?
-96
What is 61 + (143 - 42 - 207)?
-45
Calculate 1 + 72 + 6 + -3 + -30 + 5 + 19.
70
What is 46 + 26 + (-96 - -50)?
26
25 + (8 - 96) + 182
119
What is (-7 + -8 - -17) + 13 - (-3 - 46)?
64
What is the value of 21 + 4 + (-13 - (7... | {
"pile_set_name": "DM Mathematics"
} |
(m) be the first derivative of -2*m**2 + 5*m - 49. Let q = -251 + 254. Let c(o) = 4*o - 4. Give q*c(y) + 2*f(y).
4*y - 2
Let s(r) = -11*r**3 + 5*r**2 - 5*r - 5. Let x be (-6)/(-10)*((-949)/(-39) + -16). Let d(b) = 104*b**3 - 48*b**2 + 48*b + 48. What is x*d(p) + 48*s(p)?
-8*p**3
Let r(j) = 3*j + 3. Let i(t) = 71*t + 88... | {
"pile_set_name": "DM Mathematics"
} |
-5.6. Let d = 28/5 + -24/5. Which is the third smallest value? (a) d (b) k (c) -0.4
a
Suppose g - 2*v = -11, 0 = -0*v - 2*v + 10. Let u = 147 + -1027/7. Which is the second smallest value? (a) 3/2 (b) g (c) u
c
Suppose -k = -2*k - 4. What is the smallest value in 1, k, 1/11?
k
Let r = -0.18 + 10.18. Let j be -2 +... | {
"pile_set_name": "DM Mathematics"
} |
42 + 2*u**2 - 98*u - 44 - 5*u**2.
-3*u**2 - 98*u - 2
Collect the terms in -116*c + 357*c - 115*c - 120*c.
6*c
Collect the terms in -31369*t + 15684*t + 15682*t.
-3*t
Collect the terms in -12*k + 50*k**2 - 20*k + 23*k - 18*k + 34*k.
50*k**2 + 7*k
Collect the terms in -119*l + 81*l + 26*l.
-12*l
Collect the terms in -15... | {
"pile_set_name": "DM Mathematics"
} |
4*g + 16. Is v a composite number?
False
Let y(w) = 170*w**2 - 8*w - 5. Let l be y(-4). Suppose -l = -6*h + 2575. Is h a composite number?
False
Is (6/9)/(16/118488) a prime number?
True
Let x(t) = -63*t + 2. Suppose 4*g + 5 + 7 = -4*f, -5*g - 15 = f. Is x(g) prime?
True
Let h(g) = g**2 + 3*g - 7. Let j be h(-5). Suppo... | {
"pile_set_name": "DM Mathematics"
} |
lve 2*t - 3*l - 8 = 0, -t + 2 + 0 = -l for t.
-2
Solve 0 = -2*b + 4*b - 3*n - 25, 10 = -3*b - 5*n for b.
5
Solve 0 = 5*f - 3*y + 22, 30*f = 29*f - 2*y + 6 for f.
-2
Solve -3*t - 15 = 3*k, 4*k - t = -3*t - 12 for k.
-1
Solve 5 = 2*c - m, -3*c = -5*m + 6*m for c.
1
Solve 0 = -m + 3*z + 13, 30 = 4*m - 2*z + 8 for m.
4
Sol... | {
"pile_set_name": "DM Mathematics"
} |
many minutes are there between 5:08 PM and 4:50 AM?
702
What is 154 minutes after 9:21 AM?
11:55 AM
How many minutes are there between 4:25 PM and 12:41 AM?
496
What is 703 minutes before 10:35 AM?
10:52 PM
What is 402 minutes before 3:40 AM?
8:58 PM
How many minutes are there between 3:49 PM and 3:58 PM?
9
What is 505... | {
"pile_set_name": "DM Mathematics"
} |
**2 - 4*x - 2. Let y(c) = 2*c**3 + 3*c**2 - 3. Let z be y(-2). Let m(w) = -w - 3. Let b be m(z). What is the least common multiple of 8 and o(b)?
56
Suppose 1081 = 3*d + 5*p, 5*d + 6*p - 9*p = 1745. What is the smallest common multiple of 224 and d?
2464
Suppose 0 = 5*m, -o + 160 = o + m. What is the common denominator... | {
"pile_set_name": "DM Mathematics"
} |
rest ten?
-60
Round -19.6785 to 1 dp.
-19.7
Round 0.96 to the nearest integer.
1
What is -0.2206 rounded to two decimal places?
-0.22
What is 0.08474 rounded to 3 decimal places?
0.085
Round 4527000 to the nearest one hundred thousand.
4500000
What is -0.00011766 rounded to 4 dps?
-0.0001
What is 1555.8 rounded to the ... | {
"pile_set_name": "DM Mathematics"
} |
s picked without replacement from {o: 2, q: 10, i: 3, n: 3}.
45/272
Calculate prob of picking 2 x when two letters picked without replacement from xxmxxxxgxxxxx.
55/78
Two letters picked without replacement from {l: 1, u: 1, e: 1, j: 1, x: 1}. What is prob of picking 1 j and 1 e?
1/10
Three letters picked without repla... | {
"pile_set_name": "DM Mathematics"
} |
u = u - 5*q - 11. Let d(j) = -j**2 - 2*j - 7. Let n(m) = -m + 0*m - 1285*m**2 + 1284*m**2 - 6. Let p(g) = u*d(g) - 4*n(g). Give p(2).
3
Let j(y) be the third derivative of y**5/15 + 5*y**4/24 + 7*y**3/3 + 3*y**2. Let m(u) = u**2 + 2*u + 5. Let x(t) = 2*j(t) - 7*m(t). Calculate x(5).
-2
Let p(z) = -5*z**3 + 9*z**2 + 6*z... | {
"pile_set_name": "DM Mathematics"
} |
f 33238 to the nearest integer?
182
What is the ninth root of 2108 to the nearest integer?
2
What is the square root of 1605 to the nearest integer?
40
What is the cube root of 19111 to the nearest integer?
27
What is 13094 to the power of 1/2, to the nearest integer?
114
What is 838 to the power of 1/3, to the nearest... | {
"pile_set_name": "DM Mathematics"
} |
147) - sqrt(147))) + 4 + 0)*4 + 0)**2.
3584*sqrt(3) + 37888
Simplify (sqrt(13) + 2)*3 + sqrt(65)/sqrt(5)*-4 - (-4 + 1 + sqrt(832) + -4)**2.
-875 + 111*sqrt(13)
Simplify (2*(sqrt(2736) + 1)*-6 + 2)**2 + 5.
2880*sqrt(19) + 394089
Simplify sqrt(1584) - (2 + sqrt(1584) + -2)**2 - (sqrt(1584) - (sqrt(1584) + -1 + 4)).
-1581... | {
"pile_set_name": "DM Mathematics"
} |
- 1 for m.
4
Let b(s) = -s**3 - 13*s**2 + 32*s + 40. Let r be b(-15). Suppose v + 5*i = -v + 54, 2*v - i = 54. Solve 2*c - v + 7 = 2*u, -5*c + r = 3*u for c.
5
Let u(o) = -o**2 - 49*o - 323. Let g be u(-41). Solve g*w + 3*n = 19, 3*w = w - n + 8 for w.
5
Let y = 62 - 59. Suppose 0*a - 4*x - 13 = -y*a, 0 = a + 4*x + 1.... | {
"pile_set_name": "DM Mathematics"
} |
cement from {l: 1, o: 1, q: 2, v: 3, s: 3, i: 1}. What is prob of picking 2 q?
1/55
What is prob of picking 2 z when two letters picked without replacement from mmnzntznnnmzm?
1/26
What is prob of picking 1 e and 1 h when two letters picked without replacement from eztttzektohk?
1/33
What is prob of picking 2 n and 2 g... | {
"pile_set_name": "DM Mathematics"
} |
2*c**3 - 19*c**3 - 9*c**3 - a wrt c?
-18*c**2
Let a(l) be the second derivative of -l**7/14 - 2*l**6/3 + 53*l**3/3 + 14*l + 1. Find the second derivative of a(z) wrt z.
-60*z**3 - 240*z**2
Let f = 2865 - 2865. Let m(w) be the second derivative of 0*w**2 + f*w**4 - 5*w + 0 - 1/6*w**3 + 1/2*w**5. Find the second derivati... | {
"pile_set_name": "DM Mathematics"
} |
1?
4
Calculate the remainder when 9825 is divided by 36.
33
Calculate the remainder when 5073 is divided by 12.
9
What is the remainder when 407 is divided by 120?
47
Calculate the remainder when 3930 is divided by 127.
120
What is the remainder when 626 is divided by 35?
31
What is the remainder when 1537 is divided b... | {
"pile_set_name": "DM Mathematics"
} |
6
Let t(w) = 12*w - 13. Let q(y) = 35*y - 38. Suppose 0 = 18*o + 68 + 40. Let a = -32 + 49. Let v(p) = a*t(p) + o*q(p). Differentiate v(l) wrt l.
-6
Let u = -5 - -10. Find the second derivative of -24*k + 8*k**2 + 17*k**u + k - 8*k**2 wrt k.
340*k**3
Let w(z) be the first derivative of z**7/15 + 5*z**3/3 - 12*z**2 + 27... | {
"pile_set_name": "DM Mathematics"
} |
)/q))/q)**16*(q**(2/7))**(-1/24)*((q**(1/2)/q)/((q*q*q**(-1/4))/q))/(q**(-6)/q*q*q*q*q*q**(9/4)) assuming q is positive.
q**(131/12)
Simplify (((n*n/(n*n**32))/n)/(n*n**(-9/8)*n)*(n*n/(n**(1/11)*n))/(n**(-43)*n))**(-5/9) assuming n is positive.
n**(-4415/792)
Simplify ((b**(-1/4)/((b/((b/b**(-9))/b))/b))/(b**(-2/19)/b*... | {
"pile_set_name": "DM Mathematics"
} |
b of picking 1 i and 1 y when two letters picked without replacement from {l: 2, a: 3, y: 1, n: 4, i: 1, p: 1}?
1/66
Three letters picked without replacement from {t: 10}. Give prob of picking 3 t.
1
Calculate prob of picking 1 l, 1 a, and 2 h when four letters picked without replacement from tqqhphqlqqlla.
3/715
What ... | {
"pile_set_name": "DM Mathematics"
} |
. Calculate -3*h(p) + 7*y(p).
-5*p + 3
Let w(a) = 5*a - 6. Let t = -2 + 6. Let p be -12*(-1)/t*-2. Let o(f) = -14*f + 17. Determine p*o(i) - 17*w(i).
-i
Let x(m) = 4*m**3 + 3*m**2 - 4*m + 3. Suppose -4*j - 7 = 4*k - 3*j, -k + j = 3. Let s(n) = n**3 + n**2 - n + 1. Give k*x(f) + 6*s(f).
-2*f**3 + 2*f
Let d(f) = f**2 + 5... | {
"pile_set_name": "DM Mathematics"
} |
p) = -3*p**2 - 23*p - 7. Let h be ((-1)/(-2) - 0)/(17/(-238)). Let o be l(h). Is q(o) a composite number?
False
Is ((-765976)/(-6))/(268/201) composite?
False
Let h be -2*2/22 - 1002/(-66). Let f be (-60)/(-45)*h/2. Suppose f*q - 319 = 9*q. Is q a prime number?
False
Let t = -732 + 1125. Suppose -18*v + 14*v = -736. Le... | {
"pile_set_name": "DM Mathematics"
} |
520 to the nearest integer?
1627
What is the seventh root of 186791 to the nearest integer?
6
What is 14068730 to the power of 1/4, to the nearest integer?
61
What is 6903663 to the power of 1/3, to the nearest integer?
190
What is the square root of 354413 to the nearest integer?
595
What is 5012922 to the power of 1/... | {
"pile_set_name": "DM Mathematics"
} |
fy (x**(-1/6)/x*(x*x/(x*x*(x/(x**(-3/5)*x))/x))/x)/(x*x**0*(x*x**(-8))/x) assuming x is positive.
x**(157/30)
Simplify ((b*(b/((b/(b/b**(-2/3)))/b))/b*b)**(11/2))**(-6/13) assuming b is positive.
b**(-121/13)
Simplify (v**(-1/4)*v)**6 assuming v is positive.
v**(9/2)
Simplify (i**(-2/5))**26*i**(-2/5)*i/i**(-9) assumin... | {
"pile_set_name": "DM Mathematics"
} |
69*v**4 + 236*v**2 - 1 wrt v.
104856*v
Find the third derivative of -118*x**6 - 2*x**4 - 128*x**2 + 2*x.
-14160*x**3 - 48*x
What is the third derivative of 10758*l**4 - 3*l**2 + 7*l - 15 wrt l?
258192*l
Find the third derivative of -3*p**3*v*w**2 - 2*p**3*v*w + 826*p**3*v + 9*p**2*v*w**2 + 2*p*w**2 - 3*v*w**2 - v wrt p... | {
"pile_set_name": "DM Mathematics"
} |
= 0 for x.
-5
Suppose 0 = -2*z + 3*x + 25, -3*z + 2*z + 10 = -x. Suppose 1 = -z*t + 26. Solve t*b + 6 - 1 = 0 for b.
-1
Let i be 220/35 - (-4)/(-14). Let v(t) = t**3 - 6*t**2. Let p be v(i). Suppose -4*n = -2*z + 3 + 11, 3*z + 5*n = 10. Solve p = -0*c + z*c - 15 for c.
3
Let j(z) be the first derivative of -z**3/3 - z*... | {
"pile_set_name": "DM Mathematics"
} |
- w**2 - 3*w**2. Let d(t) = -2*t**2 - t + 4. Let x(k) = d(k) + 3*l(k). Determine -2*h(z) + x(z).
-z**2 - z + 3
Let c = -193 - -190. Let w(s) be the second derivative of -s**4/6 + s**3/2 - 3*s**2/2 - s. Let f(b) = 10*b**2 - 14*b + 14. Calculate c*f(l) - 14*w(l).
-2*l**2
Let h(t) = -43*t + 5. Let m(b) = -41*b + 4. What ... | {
"pile_set_name": "DM Mathematics"
} |
).
39*n**3 - 2*n + 1
Let f(k) = -3*k**3 + 11*k**2 - 5*k + 9. Let p(u) = 2*u**3 - 6*u**2 + 2*u - 5. Calculate 4*f(n) + 7*p(n).
2*n**3 + 2*n**2 - 6*n + 1
Let g(o) = -7*o - 129. Let w(i) = -6*i - 128. Determine 5*g(t) - 6*w(t).
t + 123
Let b(m) = 16*m**3 - 16*m - 30. Let g(o) = -3*o**3 + 3*o + 6. Determine 2*b(c) + 11*g(c... | {
"pile_set_name": "DM Mathematics"
} |
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