text stringlengths 270 8.19k | meta dict |
|---|---|
s the common denominator of 67/1385074 and -37/66?
45707442
What is the lowest common multiple of 78 and 434742?
5651646
Find the common denominator of -17/10649790 and 54/25.
53248950
What is the smallest common multiple of 8368665 and 131790?
16737330
What is the common denominator of -137/85131540 and 19/12?
8513154... | {
"pile_set_name": "DM Mathematics"
} |
t replacement from cocooocctc?
2/45
Four letters picked without replacement from yyttyyyyytyyyy. What is prob of sequence yyyt?
45/364
What is prob of sequence sys when three letters picked without replacement from {y: 10, s: 3, b: 2}?
2/91
Calculate prob of sequence ouq when three letters picked without replacement fr... | {
"pile_set_name": "DM Mathematics"
} |
3*h.
-2*h
Collect the terms in -57*m + 41*m + 52*m.
36*m
Collect the terms in 896*q**2 - 1775*q**2 + 893*q**2.
14*q**2
Collect the terms in 3*c - c + 0*c - c.
c
Collect the terms in -2*q**3 + 6*q**3 - 5*q**3 + 0*q**3.
-q**3
Collect the terms in -90*a**2 + 190*a**2 - 107*a**2.
-7*a**2
Collect the terms in -9*x**3 + 4*x*... | {
"pile_set_name": "DM Mathematics"
} |
= 88*g + 32 for g.
-4
Solve 44*s + 64 = 28*s for s.
-4
Solve 0 = -29*t + 26*t - 15 for t.
-5
Solve -45*n + 10 = 10 for n.
0
Solve 3 = -6*l - 21 for l.
-4
Solve -57*a = 9 + 447 for a.
-8
Solve -14*h + 144 = 10*h for h.
6
Solve 2*n = -6*n - 2*n for n.
0
Solve 6*r = 3*r + 6 for r.
2
Solve 0 = -223*g + 204*g for g.
0
Solv... | {
"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"
} |
1010 + -110001010?
-101100000
In base 15, what is -6d19 - 4?
-6d1d
In base 10, what is -12 + 3937?
3925
In base 9, what is -2143 + 476?
-1556
In base 12, what is 2345 + -10?
2335
In base 5, what is -14 - -234400?
234331
In base 12, what is 107808 + -3?
107805
In base 15, what is 103c - -4?
1041
In base 10, what is 3 - ... | {
"pile_set_name": "DM Mathematics"
} |
ue
Let d = 524 - 521. Is 2287 - 9/(d - 2) a multiple of 17?
True
Let v = 5455 - 5156. Is v a multiple of 19?
False
Let k = 35 - 35. Suppose 5*t - 23 = m, -5*t + k*t - 2*m = -29. Suppose -2*d + 7*d + t*n = 270, -5*n - 138 = -3*d. Is d a multiple of 3?
True
Let f = 13793 + -11855. Does 51 divide f?
True
Let p = 9823 - 68... | {
"pile_set_name": "DM Mathematics"
} |
s + j*q and give j.
-413
Rearrange (3 - 5 + 4)*(-159*q**2 + 173 + 298*q**2 - 135*q**2) to the form i*q + d + g*q**2 and give g.
8
Express (0 + 75*r**2 - 107*r**2 + 2)*(-5 + 1 + 5 + (3 + 3 - 5)*(-4 + 3 + 3) - 3 + 0 + 4 - 3 + 1 + 0 - 1 - 2 + 4) in the form q*r**2 + o*r + m and give m.
6
Express -19*s - 1792*s**2 + 1796*s... | {
"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"
} |
.04
Sort 8, -20, -2, -26, -4, 4, 79 in increasing order.
-26, -20, -4, -2, 4, 8, 79
Sort -4, -23, -105, -200, -9.
-200, -105, -23, -9, -4
Sort -1, 23, -4, 3162/23, 0.5 in increasing order.
-4, -1, 0.5, 23, 3162/23
Put 1, -139946, -4/7 in descending order.
1, -4/7, -139946
Sort 7.1, -41, -6194.
-6194, -41, 7.1
Sort -202... | {
"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"
} |
inutes are there between 10:05 PM and 7:43 AM?
578
How many minutes are there between 1:27 AM and 12:43 PM?
676
What is 504 minutes after 2:50 PM?
11:14 PM
How many minutes are there between 11:48 PM and 1:58 AM?
130
How many minutes are there between 4:09 AM and 4:45 AM?
36
How many minutes are there between 6:42 PM a... | {
"pile_set_name": "DM Mathematics"
} |
o the form y*q**2 + c + l*q + x*q**3 and give x.
-2
Rearrange 4 - 18 + 4*u**2 - 223*u + 223*u to a*u**2 + h*u + o and give a.
4
Express -4*g**3 + 0*g**2 + 176*g**4 + g**2 - 1 - 175*g**4 in the form i*g**3 + d*g**2 + b + r*g**4 + n*g and give b.
-1
Express (3*w - 3*w - 2*w**2)*(0*w - 3*w + 2*w) - 3*w**3 + 14*w**3 + w**3... | {
"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"
} |
4. Suppose 5*a - o*n - 1318 = 0, 2*n = -4*a - 0*a + 1058. Is a a multiple of 12?
True
Suppose -5*h + 0 = -4*u + 5, 0 = -h + 3*u - 1. Let p = 4 + h. Suppose 5*s = p*z + 285, 0 = s - 4*s + 2*z + 170. Is s a multiple of 15?
True
Let i(w) = w**3 - 24*w**2 - 32*w - 44. Let h be i(26). Is -1 + -2 + 0 + 5 + h a multiple of 33... | {
"pile_set_name": "DM Mathematics"
} |
1, v: 1, p: 3}?
1/140
Three letters picked without replacement from {b: 14, f: 4}. Give prob of sequence bbf.
91/612
Four letters picked without replacement from sssdfdssfffgdssdsd. What is prob of sequence dfss?
7/459
Calculate prob of sequence tsso when four letters picked without replacement from osooostsosssoossooo... | {
"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"
} |
o(p) + 3*t(p). What is l(-1)?
9
Suppose 3*b - 2*l = 16, 31 = -b - 5*l + 8. Suppose 0 = -2*y - 3*y. Let r(g) = 2*g + 3*g + y + 2 - 4. Calculate r(b).
8
Let s = 11 + -5. Suppose -25 = s*x - x, -u - 2*x - 13 = 0. Let f(g) = -g + 2. What is f(u)?
5
Let h be -4*-5*3/(-100)*-5. Let v(a) be the second derivative of -a**4/12 +... | {
"pile_set_name": "DM Mathematics"
} |
9, 503
List the prime factors of 4908759.
3, 821, 1993
What are the prime factors of 254433?
3, 84811
What are the prime factors of 474690?
2, 3, 5, 15823
List the prime factors of 329948.
2, 82487
What are the prime factors of 329819?
7, 53, 127
What are the prime factors of 473979?
3, 11, 53, 271
What are the prime f... | {
"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"
} |
1597, 1638, 1703, 1792?
1905
What comes next: -349, -2598, -8697, -20572, -40149, -69354?
-110113
What is the next term in 4916, 9779, 14656, 19553, 24476, 29431, 34424?
39461
What is next in -87026, -174034, -261042, -348050?
-435058
What comes next: -1811, -7443, -16829, -29969, -46863, -67511, -91913?
-120069
What i... | {
"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"
} |
-2
Solve 77 = 146*a - 215 for a.
2
Solve 162*l + 682 = -290 for l.
-6
Solve -1319*b + 3799 = -1450*b for b.
-29
Solve -220*k - 478 = 622 for k.
-5
Solve -487*r - 4843 = -947 for r.
-8
Solve -25 + 259 = 26*s for s.
9
Solve -16 = 973*o + 1930 for o.
-2
Solve -59*w + 33*w + 12*w - 56 = 0 for w.
-4
Solve -79*f - 186*f - 68... | {
"pile_set_name": "DM Mathematics"
} |
**2 - p
Collect the terms in -28202*w**3 + 94128*w**3 - 2*w**2 + 0*w**2.
65926*w**3 - 2*w**2
Collect the terms in -8770010167253 + 8770010167253 - 4*p.
-4*p
Collect the terms in -303*m**2 + 14*m + 895*m**2 - 293*m**2 - 295*m**2 - 9*m.
4*m**2 + 5*m
Collect the terms in -128*n + 29*n + 33*n + 19*n + 20*n + 26*n + 8*n**2.... | {
"pile_set_name": "DM Mathematics"
} |
3 - 14*i**2 + i + 6. Give -q(w) + 6*u(w).
w**3 + 20*w**2 - w
Let i(x) = -3*x**2 - 5*x - 5. Let d(t) be the third derivative of -t**5/20 - t**4/4 - t**3 - 8*t**2. What is -5*d(v) + 6*i(v)?
-3*v**2
Let t(u) = -u + 83. Let a be t(0). Let r = 57 - a. Let i(f) = -2*f**2 - 2. Let h(b) = -9*b**2 - 9. Calculate r*i(p) + 6*h(p)... | {
"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"
} |
+ b. Is n(h) a multiple of 36?
False
Suppose -5*u + 27738 = 111*g - 115*g, -2*u - 4*g + 11084 = 0. Is 6 a factor of u?
False
Let o = 31765 - 1860. Is 74 a factor of o?
False
Let n(v) = -65*v + 11 + 52 - 138 + v. Is n(-2) even?
False
Let n(m) = -m**2 + 29*m - 165. Let r be n(21). Suppose 0*s + r*d + 793 = s, -3172 = -4... | {
"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"
} |
e smallest value? (a) -5/57 (b) o (c) -0.3 (d) 0.4
c
Let s = 0.4 - 0.2. Let t = -72 + 62. Let w = 15 + t. Which is the second biggest value? (a) w (b) s (c) -2/5
b
Let g = -1.43 - -1.4. Let v = -5863/4140 + -5/828. Let m = 6/5 + v. Which is the smallest value? (a) 4 (b) g (c) m
c
Let p = -0.04 - -0.1. Let n =... | {
"pile_set_name": "DM Mathematics"
} |
- 7036
What is the b'th term of 4388, 4384, 4356, 4292, 4180?
-2*b**3 + 10*b + 4380
What is the q'th term of 24426, 24415, 24400, 24381?
-2*q**2 - 5*q + 24433
What is the y'th term of 1412312, 1412318, 1412324, 1412330, 1412336, 1412342?
6*y + 1412306
What is the x'th term of -62, -163, -318, -533, -814, -1167, -1598?
... | {
"pile_set_name": "DM Mathematics"
} |
ee letters picked without replacement from siiiipsssisisiiii.
3/136
Calculate prob of picking 1 u and 1 t when two letters picked without replacement from btsrbusbrtbsuobo.
1/30
Calculate prob of picking 1 l, 1 z, and 1 h when three letters picked without replacement from {l: 1, z: 3, s: 3, y: 2, m: 3, h: 1}.
3/286
Wha... | {
"pile_set_name": "DM Mathematics"
} |
**2 + 4*q - 2. Suppose 21*m + 84 = 9*m + 24. Determine m*v(y) - k(y).
9*y**2 + y + 2
Let i(q) = 8*q**3 - 53*q**2 - 42*q + 12. Let h(a) = 2*a**3 - 13*a**2 - 11*a + 3. What is 9*h(v) - 2*i(v)?
2*v**3 - 11*v**2 - 15*v + 3
Let a(j) = 3*j**2 - j - 1. Let w(l) be the first derivative of 7*l**3/3 - l**2 - 3*l - 1845. Let d be... | {
"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"
} |
+ 4*r + 3. Let c be 1/(-3) - 13/n. Let x(p) = -p + 6. Let m be x(4). Solve m*f - h = -9, -f - 6 = c*f + 3*h for f.
-3
Suppose -p - 3*w = -29, 0*w = 2*p - 4*w - 8. Let o = p - -9. Solve -y = -4*a + o - 6, -5*a = -25 for y.
3
Let f(x) = -2*x + 5 - 3*x - x + 4*x. Let w be f(0). Solve 8*c + 41 = 4*c - 5*g, w = -g for c.
-... | {
"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"
} |
7
What is 88 minutes after 10:38 AM?
12:06 PM
How many minutes are there between 12:38 PM and 1:05 PM?
27
How many minutes are there between 8:17 AM and 4:51 PM?
514
How many minutes are there between 8:25 PM and 8:13 AM?
708
How many minutes are there between 2:01 PM and 8:46 PM?
405
What is 418 minutes before 1:11 AM... | {
"pile_set_name": "DM Mathematics"
} |
to the nearest integer?
10
What is the third root of 1285592 to the nearest integer?
109
What is the cube root of 422010 to the nearest integer?
75
What is the ninth root of 1894119 to the nearest integer?
5
What is the tenth root of 18427651 to the nearest integer?
5
What is 270513 to the power of 1/8, to the nearest... | {
"pile_set_name": "DM Mathematics"
} |
3*k**4)*(-5 + 3 + 1).
-6*k**5 + 2*k**4
Expand (a - a + 2*a)*(22*a**3 - 2*a**4 - 22*a**3) + (1 - 1 + 1)*(a**3 - a**3 - 2*a**5) - 2*a**5 - 3*a**5 + 4*a**5.
-7*a**5
Expand (u**2 + 0 + 0)*(5*u**2 + 9*u**2 + u**2).
15*u**4
Expand (1 + 0 + a - 2)*(25*a - 25*a + 9*a**4).
9*a**5 - 9*a**4
Expand (14*x**3 + 9*x**3 - 21*x**3 + 1... | {
"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"
} |
?
2, 5, 22567
List the prime factors of 282404.
2, 17, 4153
What are the prime factors of 181230?
2, 3, 5, 7, 863
What are the prime factors of 1180187?
463, 2549
List the prime factors of 192163.
59, 3257
What are the prime factors of 921560?
2, 5, 23039
List the prime factors of 423754.
2, 211877
What are the prime f... | {
"pile_set_name": "DM Mathematics"
} |
5*s**2 - 10*s - 3. Let z be h(7). Suppose -21 - 9 = -4*b - 5*u, z = 3*b + 5*u. List the prime factors of b.
5
Suppose 4*l - 5*r - 535 = 0, -3*r - 1 - 8 = 0. What are the prime factors of l?
2, 5, 13
Let h(a) = 2*a**2 + 14*a + 12. List the prime factors of h(-11).
2, 5
Let k = -423 - -604. What are the prime factors of... | {
"pile_set_name": "DM Mathematics"
} |
16 = -2*d + 3*d. Let r(h) = 15 - l + h**3 - h**2. What is r(-1)?
-2
Let b(z) = 4 - 3 + z - 11*z**3 - 3*z + z**2. What is b(1)?
-11
Let c(v) = -4*v - 3*v + 3*v + 5*v - v**2 + 1. Let a be (0/(-2))/1 + 2. Give c(a).
-1
Let a(l) = 9*l**2 - l**2 + 0*l + l - 2*l**2. Let q(m) = -m**3 - 4*m**2 - 2*m + 2. Let n = -8 + 5. Let g ... | {
"pile_set_name": "DM Mathematics"
} |
xpand (2 + 1 - 4)*(0 - 1 + 2)*(1 + o - 1 + (-2 - 2 + 3)*(1 + 3*o - 1) - o - o + 0*o).
4*o
Expand u**3 + u**3 - u**3 + (-2 + 2 + 3*u)*(-3 + 4 + 2)*(-3 + 3 + u**2).
10*u**3
Expand (0 - 3 + 1)*((0*d - 2*d + d)*(2*d**2 + 1 - 1) + d - d + d**3 + 0*d - 6*d**3 + 0*d).
14*d**3
Expand (-2*n**2 + 3*n**2 + n**2)*(-n**2 - 6 + 6) +... | {
"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"
} |
, -1, -0.2?
1/9
What is the closest to -4 in 4, -0.3496, -1/6, -2/3, 1?
-2/3
Which is the closest to 2/37? (a) -202/5 (b) -1/6 (c) 61
b
What is the closest to 1/10 in 3, 0.04, -3.52, -13/3?
0.04
Which is the nearest to 0? (a) 0.1 (b) -45 (c) 1 (d) -7 (e) -307
a
Which is the closest to 1? (a) 1070 (b) 1.1 (c)... | {
"pile_set_name": "DM Mathematics"
} |
20 = 5*t for a.
-1
Solve -2691*w + 2695*w - b - 23 = 0, 4*b + 7 = -w for w.
5
Solve 3*v - 129*r + 18 = -135*r, -2*r - 6 = -v for v.
0
Solve -202 = g + 5*x - 212, 5*x - 25 = 2*g for g.
-5
Solve -4*t - 45 = -5*y, 2*t = y + 156 - 171 for t.
-5
Solve -31*q + 27*q - 67 = -5*w, 0 = -3*q - 5*w + 46 for q.
-3
Solve y + 2*s - 1... | {
"pile_set_name": "DM Mathematics"
} |
alculate l(19).
19
Let o(v) = v**2 + 129*v + 2526. What is o(-24)?
6
Let w(p) = -4*p**2 + 192*p - 1441. What is w(38)?
79
Let a(t) = -t**2 - 76*t - 981. Calculate a(-12).
-213
Let p(f) = -f**2 + 60*f - 461. Calculate p(20).
339
Let b(z) = 10*z**2 - 95*z - 93. Calculate b(-1).
12
Let z(p) = -p**3 + 32*p**2 - 65*p + 141.... | {
"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"
} |
?
11250
Convert 2.268944mg to grams.
0.002268944
What is 17/4 of a gram in milligrams?
4250
What is 47/4 of a milligram in micrograms?
11750
How many micrometers are there in twenty-seven fifths of a centimeter?
54000
What is 1/6 of a hour in minutes?
10
How many millilitres are there in 67.3471l?
67347.1
How many nano... | {
"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"
} |
29661*d - 17 + 29661*d wrt d?
66*d
Differentiate 13*k**3 + 98*k**3 - 42 + 65*k**3 + 19*k**3 wrt k.
585*k**2
Suppose -2*v + 5*v = 0. Let q = 22 + v. Find the second derivative of 25*d**4 - q*d**4 + 4*d - 2*d**2 + 2*d**2 wrt d.
36*d**2
Let b(z) be the second derivative of -z**5/6 + 5*z**4/12 - 5*z**2 + 15*z. Let p(r) be ... | {
"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"
} |
s the o'th term of 24, 48, 68, 84, 96, 104?
-2*o**2 + 30*o - 4
What is the b'th term of 9, 17, 25, 33?
8*b + 1
What is the d'th term of -2414, -2412, -2410, -2408, -2406, -2404?
2*d - 2416
What is the g'th term of 802, 1601, 2400?
799*g + 3
What is the x'th term of 991, 1993, 2997, 4003, 5011, 6021?
x**2 + 999*x - 9
Wh... | {
"pile_set_name": "DM Mathematics"
} |
- 41*x**2 + 169*x - 52*x**2 + 133*x**2 to the form d*x + o*x**2 + p and give o.
4
Rearrange (7*d - 3*d - 2*d)*(-22*d + 7*d - 40 + 12*d) to y*d**2 + x + w*d and give w.
-80
Express ((0 - 4 + 3)*(3*n + n - 3*n) + 3*n - 4*n + 0*n)*(1 + 4 - 2 + (0 - 6 + 4)*(3 + 0 - 2))*(5 - 2 + 1) in the form t + o*n and give o.
-8
Expres... | {
"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"
} |
three letters picked without replacement from {o: 4, e: 1, z: 8}.
1/143
Calculate prob of sequence bbm when three letters picked without replacement from lhnlbbunummn.
1/330
Calculate prob of sequence psms when four letters picked without replacement from {m: 1, p: 2, s: 1}.
0
Three letters picked without replacement ... | {
"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"
} |
n 37226 is divided by 37172?
54
What is the remainder when 1569468 is divided by 1320?
1308
Calculate the remainder when 344801 is divided by 6049.
8
What is the remainder when 2184 is divided by 14?
0
Calculate the remainder when 1317 is divided by 1253.
64
What is the remainder when 14361 is divided by 342?
339
What ... | {
"pile_set_name": "DM Mathematics"
} |
cking 1 p and 1 b when two letters picked without replacement from piggbggbgbpzgopp?
1/10
Two letters picked without replacement from vhvvvaeyaeyvg. Give prob of picking 1 e and 1 y.
2/39
Three letters picked without replacement from irclmfmfrmfmimr. What is prob of picking 1 f and 2 i?
3/455
What is prob of picking 1 ... | {
"pile_set_name": "DM Mathematics"
} |
u: 1}. What is prob of sequence uea?
1/105
Calculate prob of sequence nj when two letters picked without replacement from jnnj.
1/3
What is prob of sequence aq when two letters picked without replacement from vaqaavatav?
1/18
Two letters picked without replacement from vvrifvrirvsfsr. Give prob of sequence ff.
1/91
Tw... | {
"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"
} |
by -4.
-1/4
What is -7560 divided by -180?
42
-34789 divided by 4
-34789/4
Calculate 21 divided by 596.
21/596
Calculate 3588 divided by -3.
-1196
1524 divided by 762
2
Calculate 226 divided by -1.
-226
Divide 5025 by 67.
75
Divide -3 by -124.
3/124
62 divided by -1
-62
Divide 8463 by 651.
13
Calculate 4 divided by 14... | {
"pile_set_name": "DM Mathematics"
} |
(9 + -1 - (-3 - -22)) + -8?
-19
What is the value of 1 + -5 - (-76 - (-121 - 0))?
-49
Evaluate (-14 + 21 - -12) + 26.
45
What is the value of 0 - 23 - (0 - -2) - (-50 + 126 - 64)?
-37
What is the value of 8 + -46 - (-21 + 31 + -23 + 11 + -14)?
-22
Evaluate 3 - ((11 - 3) + -15 + -2 + 4 - -4).
4
What is the value of 24 -... | {
"pile_set_name": "DM Mathematics"
} |
prob of sequence gg when two letters picked without replacement from oooggoooooggguggugg?
4/19
Two letters picked without replacement from {v: 3, q: 13}. Give prob of sequence vv.
1/40
Two letters picked without replacement from ccbfb. Give prob of sequence bc.
1/5
What is prob of sequence rar when three letters picke... | {
"pile_set_name": "DM Mathematics"
} |
4
Solve -2*d - 3*p + 3 = 0, 3*p + 1472 - 1496 = 5*d for d.
-3
Solve 6 = 3*b + 3*i, -4*b - 2564 + 2569 = 3*i for b.
-1
Solve q + x = -18 + 20, 0 = -2*x + 8 for q.
-2
Solve -4*r + 2*z - 4 = 6, -r + 2*z + 5 = 0 for r.
-5
Solve 4*j - 91 = 3*a, 4*j + 0*a = -2*a + 66 for j.
19
Solve -3*t = -3*y - 54, 36*t + 4*y + 67 = 39*t ... | {
"pile_set_name": "DM Mathematics"
} |
101001111111100 + -100?
1101001111111000
In base 14, what is 477323 + 2?
477325
In base 7, what is -465511 + 41?
-465440
In base 3, what is -22111211000 + -1?
-22111211001
In base 6, what is 141 - -2153?
2334
In base 9, what is -27 + 28527?
28500
In base 9, what is -561 + 631?
60
In base 11, what is -39942 + 54?
-39899... | {
"pile_set_name": "DM Mathematics"
} |
(c) -5 (d) 1 (e) -10
d
Which is the second biggest value? (a) -5 (b) 5 (c) 1.3 (d) 9/7
c
What is the third biggest value in 3, 2, -2/99?
-2/99
What is the third biggest value in -2/117, 3, 0.08?
-2/117
Which is the third biggest value? (a) -11/3 (b) -2 (c) -14
c
Which is the fourth smallest value? (a) -0.1 (... | {
"pile_set_name": "DM Mathematics"
} |
Let s(f) = -6*f - 8. Determine s(-2).
4
Let r(y) = y**2 - 9*y - 9. What is r(13)?
43
Let c(u) = -u**2 + 10*u - 20. Calculate c(9).
-11
Let w(u) = 4*u**2 - 12*u - 6. Calculate w(6).
66
Let q(o) = -4*o + 103. Give q(23).
11
Let u(f) = -f**3 + 7*f**2 + 8*f - 14. Give u(8).
-14
Let f(d) = 5*d**2 + 3*d + 1. Give f(-2).
15
... | {
"pile_set_name": "DM Mathematics"
} |
t is the u'th term of -29, -43, -59, -77?
-u**2 - 11*u - 17
What is the d'th term of -248, -518, -788?
-270*d + 22
What is the q'th term of 36, 66, 94, 120, 144, 166, 186?
-q**2 + 33*q + 4
What is the k'th term of 421, 431, 441?
10*k + 411
What is the y'th term of -222, -227, -240, -261, -290, -327, -372?
-4*y**2 + 7*y... | {
"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"
} |
0*y - 21 = 29*y, 3*r = -5*y + 13 for r.
-4
Solve -10308*t + 10307*t = -p - 7, 2*t = p + 12 for p.
-2
Solve 0 = 15*r - 13*r + 17*z - 53, r = z - 2 for r.
1
Solve -2 = 89*l - 87*l + 3*m, l = m - 6 for l.
-4
Solve 9637*x + 2*g - 74 = 9633*x, -4*g - 44 = -4*x for x.
16
Solve -3*p - 16*s + 8 = -18*s, -2*p + 7 = -3*s for p.
... | {
"pile_set_name": "DM Mathematics"
} |
95438?
782*n**3 - n**2 + n - 2292
What is the v'th term of 13743, 28256, 42767, 57276, 71783, 86288, 100791?
-v**2 + 14516*v - 772
What is the p'th term of 1403, 6627, 11851, 17075?
5224*p - 3821
What is the d'th term of -167133, -334247, -501335, -668385, -835385, -1002323?
2*d**3 + d**2 - 167131*d - 5
What is the w't... | {
"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"
} |
e -4*y = 487 - 499 for y.
3
Solve g = -4 - 1 for g.
-5
Solve -2*w + 8 = 10 for w.
-1
Solve -111 = -5*l - 111 for l.
0
Solve 2*y = 11*y + 18 for y.
-2
Solve 0 = -27*c + 25 + 29 for c.
2
Solve -105*z + 76*z - 29 = 0 for z.
-1
Solve 0 = 15*j - 5*j for j.
0
Solve -18*a + 16 = -22*a for a.
-4
Solve -16*k + 18*k = -4 for k.
... | {
"pile_set_name": "DM Mathematics"
} |
- -14064. Suppose a - 4496 = -5*b, 89*a = -5*b + 93*a + t. What is the units digit of b?
9
Suppose -3896*d - 44433 = -3905*d. What is the hundreds digit of d?
9
Let q = 27519 + -9660. What is the ten thousands digit of q?
1
Let x(u) = -u**3 + 53*u**2 + 88*u + 138. What is the tens digit of x(51)?
2
Suppose 2*j = -9*o ... | {
"pile_set_name": "DM Mathematics"
} |
prob of picking 1 u and 1 i when two letters picked without replacement from uucmuuuippppmc?
5/91
What is prob of picking 2 w when two letters picked without replacement from {w: 2, m: 7, p: 3, f: 3}?
1/105
Calculate prob of picking 4 e when four letters picked without replacement from jeeejjjjeeee.
7/99
Four letters p... | {
"pile_set_name": "DM Mathematics"
} |
70, -0.005 in decreasing order.
70, -0.005, -0.2, -59/3
Sort -12, -4, -1/5, 5, -0.22, -5/3.
-12, -4, -5/3, -0.22, -1/5, 5
Put 5, -12, -3, -97, 11 in increasing order.
-97, -12, -3, 5, 11
Sort -8832, 13, -68, 1.
-8832, -68, 1, 13
Sort 26, 0.9274, 5, 36 in decreasing order.
36, 26, 5, 0.9274
Sort 33, 30599, -4, 2, -7, 0... | {
"pile_set_name": "DM Mathematics"
} |
tonnes.
0.2368963
How many millimeters are there in one fifth of a centimeter?
2
How many centuries are there in 47535.26 years?
475.3526
How many nanoseconds are there in 0.8650698 minutes?
51904188000
What is 3/28 of a week in seconds?
64800
Convert 99.49485 tonnes to kilograms.
99494.85
How many seconds are there in... | {
"pile_set_name": "DM Mathematics"
} |
+ 1. Let v be 585/35 + 3 - 4/(-14). Let o be m(v). Which is bigger: -9/89 or o?
o
Suppose -13*l + 38412 = -49741. Is l at most as big as 6780?
False
Suppose 0 = 10*x + x + 31*x - 546. Suppose 0 = 4*z - 4. Which is greater: z or x?
x
Let m = 5 + -3. Let x = 1489/855 + 10/171. Which is bigger: x or m?
m
Suppose -38*l + 1... | {
"pile_set_name": "DM Mathematics"
} |
) = 47*b**2 - 34*b + 11. Let w(a) = j*t(a) + 11*n(a). What is the second derivative of w(g) wrt g?
-36
Let b(r) = -12*r**3 + 10*r**2 - 3*r + 2. Let c(s) = -12*s**3 + 11*s**2 - 4*s + 3. Let k(j) = 4*b(j) - 3*c(j). Find the third derivative of k(v) wrt v.
-72
Let j(d) be the second derivative of -1/3*d**3 + 0*d**5 - 3*d ... | {
"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"
} |
.
50
What is the highest common factor of 1924216 and 140?
28
Calculate the highest common factor of 2114942 and 13.
1
Calculate the greatest common divisor of 316722 and 195.
3
What is the highest common factor of 5444010 and 27621?
891
What is the greatest common divisor of 4434 and 81051303?
2217
What is the highest... | {
"pile_set_name": "DM Mathematics"
} |
est common divisor of 15498 and 12152154?
1722
Calculate the greatest common factor of 335815032 and 784.
392
What is the greatest common divisor of 2618 and 1540506?
374
Calculate the highest common factor of 116942 and 116354.
14
Calculate the greatest common factor of 28117 and 2856143.
907
What is the highest commo... | {
"pile_set_name": "DM Mathematics"
} |
-2, 312
Solve -o**3/4 - 2011*o**2/4 + 23119*o - 22616 = 0 for o.
-2056, 1, 44
Factor -5*m**4 - 260*m**3 + 3295*m**2 + 12090*m.
-5*m*(m - 13)*(m + 3)*(m + 62)
Factor -5*r**3 - 170*r**2 + 1435*r.
-5*r*(r - 7)*(r + 41)
Find b such that -b**5/3 + 44*b**4 + 45*b**3 - 266*b**2/3 = 0.
-2, 0, 1, 133
Determine f, given that -5... | {
"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"
} |
- -1001100010?
1001101011
In base 13, what is 5 + -12c?
-127
In base 15, what is 4 - d6?
-d2
In base 16, what is -5 - 1052?
-1057
In base 4, what is 11 - 200023?
-200012
In base 8, what is -10147 - 4?
-10153
In base 7, what is -566 - -11?
-555
In base 14, what is 41 + 111?
152
In base 13, what is b + -16?
-8
In base 11... | {
"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"
} |
- 9/5*j**5 + 0*j**4 - 4*j**2 + 0*j**3. What is the second derivative of h(s) wrt s?
-108*s**2
Let u = 0 - -5. Suppose -4*p + u*p - 2 = 0. Differentiate -p + 13*s - 10*s - 9*s with respect to s.
-6
Let c(n) be the first derivative of 3*n**5/20 + 17*n**4/12 - 4*n + 7. Let a(x) be the first derivative of c(x). Find the t... | {
"pile_set_name": "DM Mathematics"
} |
3 + 5*u**2 - 57*u + 5. Let p(c) = 2*c**3 + 6*c**2 - 58*c + 6. What is -5*p(x) + 6*s(x)?
2*x**3 - 52*x
Let n(u) be the second derivative of -u**4/6 + 7*u**3/6 + 5*u. Let a = 105 - 112. Let q(o) = o**2 - 4*o. Calculate a*q(y) - 4*n(y).
y**2
Let w(g) = -890*g**2. Let m(s) = s**2. Calculate -445*m(a) - w(a).
445*a**2
Let s... | {
"pile_set_name": "DM Mathematics"
} |
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