text stringlengths 270 8.19k | meta dict |
|---|---|
er when 192147 is divided by 4140.
1707
Calculate the remainder when 47202498 is divided by 5741.
5737
Calculate the remainder when 112586 is divided by 1735.
1546
What is the remainder when 30734 is divided by 2047?
29
Calculate the remainder when 47081 is divided by 23501.
79
Calculate the remainder when 12100354 is ... | {
"pile_set_name": "DM Mathematics"
} |
4*s + 2*g + 2*g + 12 = 0. Which is the smallest value? (a) 0 (b) -1 (c) s
b
Let t = -31/5 - -27/5. What is the second biggest value in 0.4, t, -1?
t
Let q = -0.6 - 3.4. Let d = 7 + q. Let s = -44 + 45. What is the smallest value in d, s, 1/5?
1/5
Let z = -1 + 0.4. Let a = -3.6 - z. What is the smallest value in 1/6... | {
"pile_set_name": "DM Mathematics"
} |
9995 millimeters to centimeters.
3.749995
What is 2325221.1us in minutes?
0.038753685
How many grams are there in 33/5 of a kilogram?
6600
How many nanograms are there in nine tenths of a microgram?
900
Convert 881133.5 years to centuries.
8811.335
What is twenty-seven halves of a litre in millilitres?
13500
How many k... | {
"pile_set_name": "DM Mathematics"
} |
23*a*l**3 + 4*l**2 wrt a?
-40*a**3 - 264*a**2*l**3
What is the second derivative of 4252*g**2*m**3 + 434*g*m**3 + 5*m**3 wrt g?
8504*m**3
Differentiate 99*a*i**3 + 422*i**3 wrt a.
99*i**3
What is the derivative of k**4*o**3 + 57*k*o**3 - 151*o**3 wrt k?
4*k**3*o**3 + 57*o**3
What is the third derivative of -7*c**6 - 1... | {
"pile_set_name": "DM Mathematics"
} |
a be q(-1). Let n be -6*(-2 - a/(-9)). Let m be n/22 + (-6)/33. Solve m + 16 = -4*d for d.
-5
Let b be (-25)/15*(-7)/(70/6). Suppose 25 = 4*x + 5*z, -1 = -4*x + 2*z + 17. Solve 21 = -x*j + b for j.
-4
Suppose -o + 51 = 2*o. Suppose -3*n = 43 - 55. Suppose 0*x - n*x + 20 = 0, 5*l = x + 5. Solve o = -l*p + 7 for p.
-5
S... | {
"pile_set_name": "DM Mathematics"
} |
eatest common divisor of 58 and u?
29
Let m(n) = n**2 + 4*n - 8. Let u be m(6). Suppose 4*r - v = 859, -5*r + v + 1127 = u. What is the highest common divisor of 24 and r?
24
Suppose 3*u = -2*u - 20. Let l be (-114)/u - 1/2. Calculate the greatest common divisor of l and 14.
14
Let c(f) = 5*f**2 - 31*f + 39. Let o be c... | {
"pile_set_name": "DM Mathematics"
} |
alculate f*w(a) + g*v(a).
-a**2
Let q(k) = 2 + 1 - 1 - 2*k + k**2. Let l = 9 - 5. Let m(x) = x**2 - 2*x + 3. Suppose 0 = 4*a - a + 15. Determine a*q(g) + l*m(g).
-g**2 + 2*g + 2
Let t(r) = r - 8. Let l(p) = -1. What is 5*l(c) - t(c)?
-c + 3
Suppose 0 = 3*s - k + 3, -s - k = -4 + 1. Let r = 0 + s. Let f be r - ((-2 - -1... | {
"pile_set_name": "DM Mathematics"
} |
22*m - m**4 - 17 - 8*m**2 + 2 to n*m + i*m**3 + z*m**4 + p*m**2 + h and give n.
22
Express (-26 + 26 + 29*l**3)*(-5*l - 17*l - 23*l)*(2 - 2 - 3) in the form r*l**4 + j + o*l + s*l**3 + y*l**2 and give r.
3915
Rearrange 305*u - 38*u**2 - 2096*u - 41*u**2 + 78*u**2 to i*u + y + w*u**2 and give w.
-1
Rearrange 2808*b - 26... | {
"pile_set_name": "DM Mathematics"
} |
22)/w*w*w)/w*w)/(w**23*w) assuming w is positive.
w**(-6871/154)
Simplify ((r**(-8)/r*r/(r*((r/r**(-2/5))/r)/r)*r)/(r**(-1)/r)**(-16))/((r/r**(1/2)*r)**14/(r*r*(r*r/(r*r**(-1/3)))/r)**(-1)) assuming r is positive.
r**(-941/15)
Simplify (y/(y**(-2)*y)*y**(-5/3)*y)**(-50)*((((y**(-3/7)/y*y)/y)/y)/y*y**(-1))/(y**0*y*y*y**... | {
"pile_set_name": "DM Mathematics"
} |
*k**3 - 312/7*k - 26*k**2 - m*k**5 = 0?
-2, -1, -2/7, 3
Let f(q) be the first derivative of q**8/9240 + 13*q**7/1155 + 169*q**6/495 - 63*q**3 + 2. Let k(i) be the third derivative of f(i). Factor k(x).
2*x**2*(x + 26)**2/11
Factor 2/13*p**2 - 290/13*p - 588/13.
2*(p - 147)*(p + 2)/13
Let m(c) be the second derivative o... | {
"pile_set_name": "DM Mathematics"
} |
(-2/5)))**(-2/29)*(m/m**(4/9)*m*m/m**(-2/7))/(m**1*m)**7 assuming m is positive.
m**(-99793/9135)
Simplify (y/(y*((y/((y*y*y*y*(y**(-3/2)/y*y)/y*y)/y))/y)/y*y)*y**(-6))**23*(y**(-2/5)*(y/y**4)/y)/(((y*y**(-7))/y)/y*y/y**8*y) assuming y is positive.
y**(-939/10)
Simplify ((z*(z/(z/z**(2/5)*z*z))/z*z*z)/z*z)**3*(z*z/z**6... | {
"pile_set_name": "DM Mathematics"
} |
ct the terms in -657 + 37*g + 657 - 37*g + 1249*g**2.
1249*g**2
Collect the terms in -199815*o - o**3 - 2 + 2 + 199808*o.
-o**3 - 7*o
Collect the terms in -286*s**2 + 155*s**2 + 140*s**2 + 10.
9*s**2 + 10
Collect the terms in -108818*f**2 + 108843*f**2 + 0 + 1.
25*f**2 + 1
Collect the terms in 985*v**2 - 990*v**2 + 177... | {
"pile_set_name": "DM Mathematics"
} |
5
Suppose 61*b - 1993 - 613 = 871. Solve 0 = 8*t + 5*u + b, -7 = -5*u - 32 for t.
-4
Let i = -4810 - -4838. Solve n - 4*m - 8 = 3*n, -3*n + i = -4*m for n.
4
Suppose -u - 5*p = -38, 3*u - 3*p = p + 19. Suppose 9*j + u*j = 44. Solve d + v = -d - 5, -4*v = j*d + 2 for d.
-3
Suppose 25 - 69 = -4*u - 4*p, -5*p - 64 = -2*u.... | {
"pile_set_name": "DM Mathematics"
} |
*4)**2.
-1824*sqrt(13) + 675808
Simplify ((sqrt(306) - (sqrt(306) + -4*sqrt(306)*-2 - sqrt(306)))/(sqrt(6) - sqrt(726)*-1))/(-1*(sqrt(363)*-1 + sqrt(363)) + 2*sqrt(363)*-4).
7*sqrt(17)/1056
Simplify (5 + (1 + -3 + -1*sqrt(1573) - (-1 + sqrt(1573) + -5 + 3)) + 0)**2*-2.
-12656 + 528*sqrt(13)
Simplify 3 + (sqrt(70)/((sqr... | {
"pile_set_name": "DM Mathematics"
} |
l).
2*l + 2
Let q(a) = a**3 - 4*a**2 + 4*a - 6. Let m(c) = 9*c**2 - 4*c**3 - 9*c + 5 + 2*c**3 + 8. What is 4*m(b) + 9*q(b)?
b**3 - 2
Let n(i) be the third derivative of i**4/24 - i**3/6 + 2*i**2. Let d(g) = g. What is -d(c) - n(c)?
-2*c + 1
Let i(l) be the first derivative of l**2/2 + l + 15. Let a(y) = 3*y**2 - 4*y - ... | {
"pile_set_name": "DM Mathematics"
} |
+ 5*a - 17, 9 = -3*z + a. What is the nearest to -0.1 in 1, z, 5?
1
Let q be (-1 - 9/(-7))*-1. Let y = 1.9 + -2. What is the closest to y in 5, 1, q?
q
Let x be 24*44/32*-2. What is the closest to -1 in -2, 2, x?
-2
Let s = 3.5 - 0.5. Let c = 0.7 - 0.8. Let j be 1 + 10*(-2)/14. What is the closest to c in j, s, -0.3?
-... | {
"pile_set_name": "DM Mathematics"
} |
3/(4 + (-44)/8). What is the hundreds digit of (((-7668)/63)/3)/(q/7)?
1
Let p = 5672 - 3285. Suppose 4*n - 24758 = -24742. Suppose n*v = -7*v + p. What is the units digit of v?
7
Let z(r) = 512*r + 1028. Let c be z(-2). Suppose 0 = -s + 10 - 2. Suppose -5*p + c*q = -195, s = -3*q - 7. What is the units digit of p?
5
... | {
"pile_set_name": "DM Mathematics"
} |
rue
Is 38628 a multiple of 116?
True
Does 44 divide 396?
True
Does 233 divide 18407?
True
Does 15 divide 5670?
True
Is 48678 a multiple of 38?
True
Is 247 a multiple of 5?
False
Does 27 divide 2727?
True
Does 32 divide 14786?
False
Does 12 divide 909?
False
Is 46 a factor of 3450?
True
Is 2380 a multiple of 14?
True
Is... | {
"pile_set_name": "DM Mathematics"
} |
.1, -29
Put -617, -19, 5 in descending order.
5, -19, -617
Put -14, 0, 7, -5, -6 in decreasing order.
7, 0, -5, -6, -14
Sort 4, -1.2, -5, -2/37.
-5, -1.2, -2/37, 4
Put -75, -3, 3, 5, 6 in descending order.
6, 5, 3, -3, -75
Sort -3, -1390, -4, 0, 4.
-1390, -4, -3, 0, 4
Put 2388, -5, 5, -3 in ascending order.
-5, -3, 5, ... | {
"pile_set_name": "DM Mathematics"
} |
4*h - 25*h = 2*h + 103938. What are the prime factors of h?
2, 3, 1019
Suppose -6*b + 178 = 4. Let j(s) = 53*s + 4. List the prime factors of j(b).
23, 67
Let d(v) = 366*v**2 + 18*v + 15. What are the prime factors of d(3)?
3, 19, 59
Suppose -4*a = -29653 + 10857. List the prime factors of a.
37, 127
Let c = 18 + -14. ... | {
"pile_set_name": "DM Mathematics"
} |
0, 1
Let h(v) = -v**2 - 16*v + 9. Let y(t) = t**2 - 1. Let j(s) = 5*h(s) + 30*y(s). Suppose j(n) = 0. What is n?
1/5, 3
Let m(k) be the first derivative of -k**5/5 - 5*k**4/2 - 12*k**3 - 27*k**2 - 27*k - 30. Factor m(x).
-(x + 1)*(x + 3)**3
Suppose -5*d - 21 = -l - 3*l, -3 = -d - l. Let g be d/(-6) - 6/(-18). Factor 0... | {
"pile_set_name": "DM Mathematics"
} |
+ 7. What is p(c)?
0
Suppose -3*u - 3*f = u - 140, -2*u + 2*f = -70. Suppose 2*p = 5*h - 15, -4*h - 5*p + u = -2*p. Let m(v) = 2*v - 6. Give m(h).
4
Suppose 3*r + 9 = 4*m, 0*r + 5 = m + 2*r. Suppose -m*w - o - 8 = 2*w, -17 = 5*w + 4*o. Let d(b) = 7*b**2 + 2 - 2 + b. Give d(w).
6
Let i be 0 + 1 + 3/(-1). Let t(g) be the... | {
"pile_set_name": "DM Mathematics"
} |
t is the product of 11271.3 and -5?
-56356.5
What is the product of -24 and -35989?
863736
What is 293229 times -3?
-879687
What is the product of -79848 and 3?
-239544
What is 0.015 times 806.45?
12.09675
36 * -1468
-52848
Multiply 8 and -15593.
-124744
Work out 4 * 9211.
36844
-1435*0.032
-45.92
Multiply 0.12 and -10... | {
"pile_set_name": "DM Mathematics"
} |
e prob of picking 4 p.
1/35
Two letters picked without replacement from wmowwowavoav. What is prob of picking 1 a and 1 o?
1/11
What is prob of picking 1 h, 1 b, 1 f, and 1 j when four letters picked without replacement from {j: 5, f: 2, h: 4, b: 2, n: 1}?
80/1001
Four letters picked without replacement from jixpjxpjjj... | {
"pile_set_name": "DM Mathematics"
} |
e the greatest common factor of 3531 and 99.
33
What is the highest common factor of 72 and 338?
2
Calculate the greatest common divisor of 11395 and 129.
43
What is the greatest common divisor of 42 and 294?
42
What is the highest common factor of 936 and 1368?
72
Calculate the highest common factor of 57 and 81.
3
Ca... | {
"pile_set_name": "DM Mathematics"
} |
ose -1 + 1 = 3*a. Suppose k - 10*k + 4725 = a. Suppose k = 8*d - d. Is 15 a factor of d?
True
Suppose 7280 = 4*q - 19*t + 9*t, 2*q - 3636 = 4*t. Is q a multiple of 22?
False
Let h(x) = 21*x**2 - 19*x + 44. Is h(8) a multiple of 3?
True
Suppose 21*d - 6960 = 9*d. Let t = 828 - d. Is 31 a factor of t?
True
Does 57 divide... | {
"pile_set_name": "DM Mathematics"
} |
is -161 + -6?
-167
In base 6, what is -13 - 14523?
-14540
In base 16, what is -2 - -11f?
11d
In base 10, what is 1 + 66?
67
In base 3, what is -12101 + 1022?
-11002
In base 5, what is 3 - 32212?
-32204
In base 16, what is 9 - -2?
b
In base 9, what is -54 - -1?
-53
In base 5, what is 34131 + 1?
34132
In base 5, what is... | {
"pile_set_name": "DM Mathematics"
} |
rentiate -460*l*m**2 + 1280*l*m - 52*m**2 - 18*m + 124 wrt l.
-460*m**2 + 1280*m
What is the first derivative of -197622816*j**4 + 143429491 wrt j?
-790491264*j**3
Differentiate 4*c**2*l + 341*c**2 - 866*c + 1218*l + 2700 wrt c.
8*c*l + 682*c - 866
Find the second derivative of 2989*j*w**2 - 41719*j*w - 129*w**2 + 44 w... | {
"pile_set_name": "DM Mathematics"
} |
16911
In base 10, what is 18262984 + -11?
18262973
In base 16, what is -1d - -5746ec?
5746cf
In base 12, what is 1 - -10189636?
10189637
In base 10, what is 10043090 - 7?
10043083
In base 6, what is 3551203 - 4?
3551155
In base 11, what is 6a495453 - 2?
6a495451
In base 12, what is -11 + 3b9202a?
3b92019
In base 7, wha... | {
"pile_set_name": "DM Mathematics"
} |
4/35
Calculate prob of sequence ieeq when four letters picked without replacement from ieeiiiqqeeqiiq.
12/1001
What is prob of sequence kv when two letters picked without replacement from xkxhvvv?
1/14
What is prob of sequence rlri when four letters picked without replacement from lrrrllrlifrllllrrl?
7/1360
Calculate ... | {
"pile_set_name": "DM Mathematics"
} |
= 4*j, 589 = 3*h - 4*j. What is the hundreds digit of h?
1
Suppose 2*t - 13 = 3*q, 4*q + 2*t = q - 29. Let s = q + 31. What is the tens digit of s - (-2 + 2)/(-4)?
2
Let t(v) = -11*v + 23. What is the tens digit of t(-9)?
2
Let l be (4/6)/(2/(-18)). Let s = l - -11. Suppose 1 - s = -j. What is the units digit of j?
4
... | {
"pile_set_name": "DM Mathematics"
} |
9*w - 8 + 7*w wrt w.
16
What is the second derivative of 308*k**4 - 1110*k**4 - 4 - 203*k + 4 - 91*k wrt k?
-9624*k**2
What is the second derivative of 2*q**3 + 5 - 60299*q**2 - 2 + 58300*q**2 + 6 - 97*q wrt q?
12*q - 3998
Let j(w) be the first derivative of -1662*w**3 - 89*w**2/2 - w + 10648. Find the second derivati... | {
"pile_set_name": "DM Mathematics"
} |
reasing order.
u, 1, c
Let s = -0.01 - -0.31. Let m = s - 0.4. Sort 1/4, 0, m.
m, 0, 1/4
Let v be -11 + 15 - 0/(-1 - -2). Let l = -1.3 - -0.3. Sort l, 0.06, v in ascending order.
l, 0.06, v
Let b be 26/8 - 2/8. Suppose 0 = -12*o + 8*o + 76. Let u = o + -14. Sort -5, b, u in descending order.
u, b, -5
Let l = -6 - -7. L... | {
"pile_set_name": "DM Mathematics"
} |
et x be ((-63)/18 + 4)*126/(-4). Which is greater: -17 or x?
x
Let a be -7 + 13 - (0 - 4). Which is bigger: a or 8?
a
Suppose 3*g + 0 = -5*h + 6, 0 = 3*h. Suppose 3*z + 19 = -4*u, 5*z = u - g*u - 9. Let d be (-6 - -6) + z/2. Is d bigger than 4?
False
Let m = 78548/437 - 3259/19. Is m at least 8?
True
Suppose 5*b - 2*r ... | {
"pile_set_name": "DM Mathematics"
} |
l). Find the second derivative of v(k) wrt k.
-2
Let y(b) be the second derivative of -11*b**5/20 - 5*b**3/6 - 5*b. What is the second derivative of y(z) wrt z?
-66*z
Let k(j) be the second derivative of -4*j + 0*j**4 + 1/14*j**7 + 0*j**6 + 0 + 5/6*j**3 + 0*j**2 + 0*j**5. Find the second derivative of k(x) wrt x.
60*x*... | {
"pile_set_name": "DM Mathematics"
} |
, 0 = -n - 3*j + 41. Suppose -2*m + 3*m = n. Suppose w = g - 8, -3*g + m = 5*w + 9. List the prime factors of g.
3
Let d(l) = 19*l**2 - 46*l - 246. What are the prime factors of d(-6)?
2, 3, 7, 17
Let l = -154 + 490. Suppose 4*v = 3*u + 336, 5*v - 2*u = v + l. What are the prime factors of v?
2, 3, 7
Let i(d) = d + 0*d... | {
"pile_set_name": "DM Mathematics"
} |
-26 - -26. Suppose -3*w = -0*w - 36. Let n be w/(-78) + (-129)/(-1092). Is m > n?
True
Suppose -4*v + 2*o - 19 = -183, -4*o = -2*v + 76. Suppose -9*i + 116 = 3*r - 14*i, -5*r + 214 = 2*i. Is v greater than or equal to r?
True
Let j = -1.7 + 1.6. Let u = -579.6 - -579. Which is smaller: j or u?
u
Let v be (2/18)/(218/12... | {
"pile_set_name": "DM Mathematics"
} |
What is the fourth smallest value in 0.3, -1/4, -3, -0.1282?
0.3
Which is the biggest value? (a) 2.7 (b) 5 (c) 458
c
What is the third biggest value in -1/12, 157, 5, -5, 9, 13?
9
Which is the second biggest value? (a) -2/17 (b) -13 (c) 3 (d) 9 (e) 1/2
c
Which is the biggest value? (a) -0.06 (b) 90/11 (c) 0.... | {
"pile_set_name": "DM Mathematics"
} |
/5 of a gram in milligrams?
9600
What is 305.9571 litres in millilitres?
305957.1
How many millilitres are there in 422.2148l?
422214.8
Convert 43.30984um to centimeters.
0.004330984
How many decades are there in 0.2585033 millennia?
25.85033
What is one sixth of a week in minutes?
1680
How many seconds are there in 0.... | {
"pile_set_name": "DM Mathematics"
} |
8
What is the least common multiple of 66 and 99?
198
What is the least common multiple of 9 and 145?
1305
Calculate the common denominator of 85/112 and 85/112.
112
Find the common denominator of 83/2223 and -29/104.
17784
Calculate the lowest common multiple of 2472 and 11.
27192
What is the lowest common multiple of... | {
"pile_set_name": "DM Mathematics"
} |
z) wrt z.
4
What is the second derivative of -1 + 1 - 2962*u**5 + 19*u + 1471*u**5 + u**3 + 1485*u**5 wrt u?
-120*u**3 + 6*u
Let s(f) be the third derivative of 0*f**4 + 0*f**5 + 0 + 2*f + 32/105*f**7 + 0*f**6 - 67/6*f**3 - f**2. Find the first derivative of s(j) wrt j.
256*j**3
Let i(q) be the first derivative of 5/3*... | {
"pile_set_name": "DM Mathematics"
} |
- 3*p**2 - 430*p**2 + 3 + 244*p**2 - 3.
-190*p**2
Expand -2*z**3 + 7*z**4 + 2*z**3 + 15*z**4 - z**4 + 10*z**4 + (-2*z**2 + z**2 + 2*z**2)*(-2*z**2 - 1 + 1).
29*z**4
Expand h**5 + 2*h**5 - 4*h**5 + (h - 7*h - 2*h)*(0 + 0 - 7)*(h**4 + h**4 - 5*h**4).
-169*h**5
Expand ((5 - 4 + 0)*(-y + y - 2*y) + 4*y + 3 - 3)*(82 - 194 -... | {
"pile_set_name": "DM Mathematics"
} |
+ 12*f**2 + v*f + 109 - 140*f = 0. Calculate f.
-2/3, 11
Let q(r) be the first derivative of 3/20*r**5 + 0*r**4 + 0*r + 30 + 3/4*r**2 - 3/4*r**3. Let q(n) = 0. Calculate n.
-2, 0, 1
Let b(q) be the second derivative of 27*q**4 + 48*q**3 + 32*q**2 - 2*q + 7. What is l in b(l) = 0?
-4/9
Let l be 10/45*-5*(-132)/5. Let o ... | {
"pile_set_name": "DM Mathematics"
} |
when p(3) is divided by l?
10
Let b be (-24)/(-6) - (-26)/1. Let w = 38 - b. Calculate the remainder when 45 is divided by w.
5
Let q(o) = -3*o - 6. Let a be q(-4). Let w(d) = d - 2. Let h be w(a). Suppose b - 22 = h*c, -2*b - 2*c - 6 = -0*b. What is the remainder when 6 is divided by b?
0
Let l(a) = -a**2 - 16*a - 8. ... | {
"pile_set_name": "DM Mathematics"
} |
12, -2/11, 1, 5, 33?
33
What is the biggest value in -1.19, -0.3, 1/3?
1/3
Which is the second biggest value? (a) 2/5 (b) 1 (c) -3/5 (d) 12 (e) -27
b
Which is the second smallest value? (a) -3 (b) 0.2 (c) 1046
b
Which is the second smallest value? (a) 184 (b) 1/3 (c) -0.3
b
Which is the third smallest value?... | {
"pile_set_name": "DM Mathematics"
} |
3, 5?
2/9
Let q = -19 - -22. Which is the biggest value? (a) -2/5 (b) q (c) 0 (d) -4
b
Let x be -1 + (33/10 - 3). Let v = x + 19/20. What is the third biggest value in v, -5, -4?
-5
Let c = -0.24 + 0.44. What is the smallest value in -0.3, c, -5?
-5
Let d = 30449/75 + -406. Let l = d - -377/150. Which is the smalle... | {
"pile_set_name": "DM Mathematics"
} |
c*c**(-2/19)*c**11 assuming c is positive.
c**(-4039/285)
Simplify ((d/(d*d**(-15))*d*d*(d*d**(-9)*d)/d)**(-12/17))**(2/85) assuming d is positive.
d**(-216/1445)
Simplify (l**(1/3)*l/l**(-1/24))/(l/(l*l**(-2/5)/l))**(3/2) assuming l is positive.
l**(-29/40)
Simplify (i*i*i/(i*i**(21/2)*i)*i*i/(((i**17/i)/i)/i)*i)/(i**... | {
"pile_set_name": "DM Mathematics"
} |
tens digit of (-1 + z/(-12))*-4?
1
Suppose y - 51 = -0. Suppose 33 + y = 4*k. What is the units digit of k?
1
Let a = -72 + 102. Let t = -14 - -14. Suppose t*j - a = -3*j. What is the tens digit of j?
1
Let m(t) = -t**3 + 4*t**2 + 7*t - 5. Let b be m(5). Suppose -p = -b*z + 62, 2*z - 3*z = -5*p - 22. What is the tens d... | {
"pile_set_name": "DM Mathematics"
} |
e of 16?
False
Suppose 0 = 4*i - 2*u - 62, -3*i + 8*i = u + 76. Let c = i + -27. Does 16 divide c/16*36*-1?
False
Let k be -2 + (2 - 0) - (-943 - 1). Suppose -12*l - k = -28*l. Is l a multiple of 30?
False
Suppose 0 = 4*c - 4*o - 116, 2*o - 4 = 6*o. Suppose 3*d - 70 = 2*t, 2*d = -4*t + 80 - c. Is 6/16 + (663/d)/1 a mul... | {
"pile_set_name": "DM Mathematics"
} |
nth root of 17914 to the nearest integer?
4
What is the square root of 3579 to the nearest integer?
60
What is 2140 to the power of 1/2, to the nearest integer?
46
What is the square root of 158 to the nearest integer?
13
What is 9227 to the power of 1/3, to the nearest integer?
21
What is 21198 to the power of 1/6, to... | {
"pile_set_name": "DM Mathematics"
} |
+ 9. Let r be h(7). What is the second derivative of -d - 2*d**r - 16*d**k + 2*d**2 - 6*d wrt d?
-192*d**2
Let v(j) be the first derivative of 8*j**5 - 56*j**3/3 + 6322*j - 4263. Find the first derivative of v(b) wrt b.
160*b**3 - 112*b
Let n(t) be the third derivative of t**4/24 + 2*t**3/3 + 9*t**2. Let b be n(7). Di... | {
"pile_set_name": "DM Mathematics"
} |
**2 - 47923*y - 72
What is the g'th term of -1580, -1938, -2308, -2696, -3108, -3550, -4028?
-g**3 - 351*g - 1228
What is the m'th term of 238126, 476372, 714622, 952876, 1191134, 1429396?
2*m**2 + 238240*m - 116
What is the z'th term of 574775, 1149539, 1724303, 2299067?
574764*z + 11
What is the o'th term of -148932,... | {
"pile_set_name": "DM Mathematics"
} |
+ 8*k**2 - 47*k + 37. Let z(u) = h(u) + p(u). Factor z(o).
3*(o - 2)*(o - 1)*(o + 6)
Let x = -1155/194 - -626/97. Determine q so that -9/2*q + 0 - x*q**4 - 3/2*q**2 + 5/2*q**3 = 0.
-1, 0, 3
Suppose 2*k + 56 = 6*k. Suppose 6*v - k = -v. Factor -18*w - 12 + 0 + 0 - v*w + 8*w**2.
4*(w - 3)*(2*w + 1)
Solve -5489*b + 24 - 5... | {
"pile_set_name": "DM Mathematics"
} |
1)/w))**(7/2))**22)**(-2/17) assuming w is positive.
w**(-48/17)
Simplify (((m**3*m*m)/m)**(-14/11))**(-36)*(m/((m/m**(6/5))/m))/(m**(-8)/m)*(m**(-1/4))**45 assuming m is positive.
m**(40309/220)
Simplify ((v*v/v**(-10)*v*v**(1/15)*v*v**(-8)/(v*v*v**(2/3)/v*v*v))**(4/25))**(3/2) assuming v is positive.
v**(72/125)
Simp... | {
"pile_set_name": "DM Mathematics"
} |
+ 3 = -5*j - u for j.
-1
Suppose -49 = 5*w + c - 163, w = c + 24. Solve -w = -5*h + k, -h = h - 3*k - 4 for h.
5
Let w(n) = n**3 + 8*n**2 + 12*n + 7. Suppose -5*b - 45 = -3*s, 3*s - 9 = 6. Let q be w(b). Solve -2*y = 5*l - 27, -l - q*y = -2*y - 10 for l.
5
Let b be -2 + (-1 - -9 - 2). Suppose -10 + 131 = 11*s. Suppose... | {
"pile_set_name": "DM Mathematics"
} |
(-4))) prime?
True
Let c(r) = 621*r + 8. Is c(1) a prime number?
False
Let z = 2158 + 135. Is z prime?
True
Is (-5 - 24/(-6))/5*-15545 prime?
True
Suppose 2*x = -j + 1639, -2*x = -5*j + 7097 + 1062. Is j prime?
False
Suppose -d + 779 = -2*v, -2*v - 3*v = 3*d - 2326. Suppose -11*c + d = -8*c. Is c prime?
False
Let y(b) ... | {
"pile_set_name": "DM Mathematics"
} |
losest to 0 in 5, 3, w?
3
Let g be ((-536)/(-20))/(2/5). Suppose -69*w + 2 = -g*w. Let v be 8 + ((-40)/50)/(w/5). What is the closest to -1 in v, -2/13, 3?
-2/13
Let f(z) = 5*z**2 - 126*z + 760. Let n be f(11). Let s = -12/11 - -38/55. What is the closest to 1/2 in s, 2, n?
s
Let s = -152.708 - -152.7. Let k = -4 - -4.... | {
"pile_set_name": "DM Mathematics"
} |
{p: 1, e: 2, t: 7, y: 1, s: 3}. What is prob of sequence spt?
1/104
Three letters picked without replacement from {s: 2, z: 7}. Give prob of sequence szs.
1/36
Four letters picked without replacement from {q: 13, j: 5}. Give prob of sequence qjjj.
13/1224
Two letters picked without replacement from xxxxxxxxxxxxxaxxxxxx... | {
"pile_set_name": "DM Mathematics"
} |
Suppose 4*d**3/9 - 4588*d**2/9 + 428576*d/3 + 287760 = 0. What is d?
-2, 495, 654
What is d in -5*d**2 - 5885180*d - 11770340 = 0?
-1177034, -2
What is x in -5*x**5 + 14825*x**4 + 59410*x**3 - 89050*x**2 - 59405*x + 74225 = 0?
-5, -1, 1, 2969
Let -2*f**3/11 - 132*f**2 - 196138*f/11 - 575400/11 = 0. What is f?
-548, -1... | {
"pile_set_name": "DM Mathematics"
} |
88440925+5.1
-5888440919.9
What is 33090 + 557807.21?
590897.21
What is 48561584 plus 0.077977?
48561584.077977
What is 3347843571.6 + -3?
3347843568.6
Add together -12 and 429659793.8.
429659781.8
What is -0.086 less than -23713297907?
-23713297906.914
What is 18210912852 + 12044?
18210924896
Work out -276661.91848801... | {
"pile_set_name": "DM Mathematics"
} |
r = z for r.
1
Let x(q) = q**3 + 5*q**2 - q - 1. Suppose 16 + 9 = -2*f + 5*y, 3 = y. Let n be x(f). Suppose -5*c + 2*u + 75 = 7*u, -n*c = -4*u - 20. Solve -5*i - c = 5 for i.
-3
Suppose -103*o + 445 + 1542 + 176 = 0. Let k be (-1)/(-1*(-1)/(-17)). Let b = o - k. Solve h + b = 2 for h.
-2
Let z(o) = -o**3 - 7*o**2 - 4*o... | {
"pile_set_name": "DM Mathematics"
} |
ppose -5*s - 5*f = -250, 3*s - i*f + 2*f - 130 = 0. Is s a multiple of 10?
False
Let z(o) = -2*o**3 - o**2 + 3*o - 8. Let r(u) = -3*u**3 - 2*u**2 + 5*u - 15. Let x(f) = -3*r(f) + 5*z(f). Does 2 divide x(0)?
False
Suppose -2*w = -2*b + b - 141, -351 = -5*w + b. Let g = -23 + w. Does 17 divide g?
False
Suppose 365 + 127 ... | {
"pile_set_name": "DM Mathematics"
} |
)*4/(-34).
-2/17
What is the value of ((34639/(-2115))/67)/(33/(-18))?
2/15
Calculate 5/3*25/(-250)*(-4)/1.
2/3
What is the value of 6/20*(-104)/(-78)*50/4?
5
Evaluate ((-7)/(-6))/(-77*(-2)/88)*39.
26
Calculate (((-84)/147)/((-48)/(-56)))/((-2)/(-15)).
-5
Calculate 7*15*40/2100*27/(-2).
-27
(-84)/(-48)*((-4)/42)/(-2)
1... | {
"pile_set_name": "DM Mathematics"
} |
ulate b(-2).
-7
Let g(n) = 4*n**2 + 75*n - 106. Determine g(-20).
-6
Let a(p) = -2*p**2 + 20*p - 8. Give a(0).
-8
Let c(r) = 3*r**2 + 10*r - 6. What is c(-4)?
2
Let p(g) = -g - 33. Calculate p(0).
-33
Let i(h) = -h**2 + 15*h + 53. What is i(-3)?
-1
Let q(l) = l**3 + 3*l**2 - 29*l + 2. What is q(4)?
-2
Let j(q) = 3*q + ... | {
"pile_set_name": "DM Mathematics"
} |
48 for z.
0
Solve 3*z - 81 = 5*o, 15*z + 37752 = -13*o + 37473 for o.
-18
Solve -4*j - 3*b = -2, 3*b + 10021 - 5013 = -10*j + 5022 for j.
2
Solve -3*r - 48 + 8 = 25679*a - 25681*a, 0 = 3*a + 12 for r.
-16
Solve -4 = -2*q - a, -4*q - 4177*a + 4180*a + 8 = 0 for q.
2
Solve 3*c - 4*c - 61 = -11*m - 5*c + c, 0 = 2*m - 48*c... | {
"pile_set_name": "DM Mathematics"
} |
is the smallest value? (a) 0.07 (b) 5/19 (c) 4 (d) 2 (e) -28
e
Which is the fifth smallest value? (a) 0.05 (b) 12 (c) -0.3 (d) -5 (e) -2/15 (f) -7/2
a
Which is the biggest value? (a) 5 (b) 0.05 (c) 8/107
a
Which is the biggest value? (a) 0.5 (b) 3 (c) -5 (d) -0.3 (e) 0 (f) -447
b
Which is the third ... | {
"pile_set_name": "DM Mathematics"
} |
denominator of 99/4 and t.
4
Let o = 220595505/622 + -354655. Find the common denominator of o and -101/2.
622
What is the common denominator of (-3)/(-6) + ((-4669)/312)/23 and 61/16?
624
Suppose 0 = l - 2 - 1. Let u(o) = -o**2 + 14*o - 11. Let i be u(11). Calculate the common denominator of l/4*(-92)/i and 121/40.
44... | {
"pile_set_name": "DM Mathematics"
} |
1, b: 2}.
3/14
Calculate prob of picking 1 w and 1 p when two letters picked without replacement from {w: 4, p: 14}.
56/153
Four letters picked without replacement from {w: 10, l: 1, p: 4, t: 4}. Give prob of picking 2 w, 1 p, and 1 t.
60/323
Calculate prob of picking 3 a and 1 h when four letters picked without replac... | {
"pile_set_name": "DM Mathematics"
} |
30 + 3 - -25.
66
Let q(v) = -v - 1. Let o be q(-5). Suppose -60 = -4*k - 0*i + 5*i, -i - 54 = -5*k. What is the smallest common multiple of k and ((-15)/o)/((-3)/16)?
20
Let y(f) = f**2 + 14*f + 21. Let w be y(-15). Suppose 0 = 3*p + 3*u - u - w, 2*u = 4*p - 48. What is the least common multiple of p and 14?
84
Suppose... | {
"pile_set_name": "DM Mathematics"
} |
et n = 21 - 26. Which is the nearest to 1/3? (a) -1 (b) -3 (c) n
a
Let a(t) = -t + 1. Suppose 0 = h - 2*h + 4. Let k be a(h). Let b = -145/453 + -2/151. What is the nearest to 1 in b, -5, k?
b
Let w(t) = -t**2 - 8*t - 3. Let m be w(-7). Let z = 0.2 + -0.1. Let u(q) = 2*q**2 - 5*q + 5. Let h be u(2). Which is the clo... | {
"pile_set_name": "DM Mathematics"
} |
89*n**2 + 1)*(3*n - 2*n + 0*n).
-3*n**3 - 5*n**2 - n
Expand (7 - p - 7)*(41 - 38 + 22).
-25*p
Expand 2*f - f - 2*f + (3 - 2 - 3)*(2 - 2*f - 2) - 5*f + 3*f + f - 3*f + 18*f + 17*f.
34*f
Expand -6*i + i**4 + 58*i + i**3 + 13*i + (-2*i**2 - 1 + 1)*(i**2 + 0*i**2 + i**2) + 0*i**4 + 6*i**4 - 5*i**4.
-2*i**4 + i**3 + 65*i
Ex... | {
"pile_set_name": "DM Mathematics"
} |
+ 9 = 3*h - 29. Find the second derivative of s*b**2 - 3*b**2 + b + 8*b**3 - h*b wrt b.
48*b
Let p(g) be the second derivative of 0 + 1/6*g**3 + 0*g**2 - 1/4*g**4 - 9*g. What is the second derivative of p(s) wrt s?
-6
What is the derivative of 59*i + 136 - 35*i**2 - 59*i - 114*i**2 wrt i?
-298*i
Suppose 0 = -4*f - 5*b ... | {
"pile_set_name": "DM Mathematics"
} |
. Let d(q) = -7*c(q) - 6*f(q). What is d(i)?
-1
Let k(a) = -a + 4. Suppose -5*b + 19*b - 2688 = 0. Let v = b + -189. Determine k(v).
1
Suppose 126*r - 134*r = -24. Let n(k) = -k**2 - 6*k. Let p(q) = 2*q**2 + 13*q + 1. Let i(j) = -5*n(j) - 2*p(j). Calculate i(r).
19
Let t = -6 + 8. Suppose -g - 4*x = -t*x - 11, 3*x = 4*... | {
"pile_set_name": "DM Mathematics"
} |
+ 32. Let k = -99066.9894 - -99035. Let z = k - w. What is z rounded to three dps?
0.011
Let r(p) = 4*p**2 - 8*p**2 - 1630 + 5*p**2 + 57630 + 2*p. Let k(z) = z - 9. Let w be k(9). Let v be r(w). What is v rounded to the nearest ten thousand?
60000
Let o = -5052 + 4946.55. Let b = o - 392.44. Let f = b + 494. What is f ... | {
"pile_set_name": "DM Mathematics"
} |
+ 7/2*b**2 + 0 + 1/6*b**3. Determine u(r).
-3
Let b = -125 + 179. Suppose -14*s + 232 = -594. Let w = s - b. Let a(m) = m**2 - 5*m + 3. Determine a(w).
3
Suppose -3*r = -2*r - 4, -6 = -3*d + 3*r. Let m(i) = -d*i**2 + 3*i**2 + 5*i**2 + 4*i + 1. Let l(s) = -1. Let k(f) = 2*l(f) + m(f). Give k(-3).
5
Let l(o) = -o**2 + 10... | {
"pile_set_name": "DM Mathematics"
} |
8:02 PM and 11:25 PM?
203
What is 121 minutes before 6:25 AM?
4:24 AM
How many minutes are there between 7:52 AM and 8:32 AM?
40
How many minutes are there between 5:38 AM and 11:52 AM?
374
What is 142 minutes before 3:39 AM?
1:17 AM
How many minutes are there between 3:14 AM and 5:33 AM?
139
What is 240 minutes after... | {
"pile_set_name": "DM Mathematics"
} |
assuming v is positive.
v**(-515/4)
Simplify ((w**(-16)*w)/w)**(-33)/(w**(-15)/(w*(w*(w**31*w)/w*w)/w*w)) assuming w is positive.
w**577
Simplify (((t/(t/(t/((t/(t*t**(-1/5)/t))/t))*t))/t)**(19/3))**(-2/29) assuming t is positive.
t**(76/145)
Simplify (o*(o*o*o*o**(2/7)/o*o)/o)**(2/11)/(o/o**7*o**(-3/4)/o) assuming o i... | {
"pile_set_name": "DM Mathematics"
} |
8:05 PM and 5:24 AM?
559
What is 704 minutes after 2:17 AM?
2:01 PM
What is 244 minutes before 1:53 AM?
9:49 PM
What is 155 minutes before 4:40 PM?
2:05 PM
What is 149 minutes after 9:30 AM?
11:59 AM
What is 709 minutes after 6:30 AM?
6:19 PM
What is 63 minutes after 1:05 AM?
2:08 AM
How many minutes are there between... | {
"pile_set_name": "DM Mathematics"
} |
nteger?
3
What is the cube root of 186763 to the nearest integer?
57
What is the third root of 5885225 to the nearest integer?
181
What is 3990144 to the power of 1/9, to the nearest integer?
5
What is the third root of 100772 to the nearest integer?
47
What is 699799 to the power of 1/9, to the nearest integer?
4
What... | {
"pile_set_name": "DM Mathematics"
} |
*2 + 4*i. Let r be o(-7). Calculate the greatest common divisor of 36 and r.
4
Let o(u) = -u**3 + 20*u**2 + 28*u - 48. Let l be o(21). Let q be 2/(-10) + (-92)/(-10). What is the greatest common divisor of l and q?
9
Let g = -10 - -19. Let n(s) = -17*s - 8. Let y be n(6). Let j = -47 - y. What is the greatest common di... | {
"pile_set_name": "DM Mathematics"
} |
e power of 1/3, to the nearest integer?
59
What is the eighth root of 167129 to the nearest integer?
4
What is 2830144 to the power of 1/2, to the nearest integer?
1682
What is the cube root of 570211 to the nearest integer?
83
What is the third root of 122350 to the nearest integer?
50
What is the cube root of 960034 ... | {
"pile_set_name": "DM Mathematics"
} |
/3)*z)*z**(1/6)/z*(z/(z*(z**(-1/3)*z)/z))/z*(z**(-4/5)/z**(1/6))/(((z*z*z*z**4*z)/z)/z*z**(2/13)/z) assuming z is positive.
z**(-1037/65)
Simplify ((f*f*f**(-1/2)*f)/((f/(f*f**5/f))/f)*(f**1/f)**6)/((f/(f/(f/(f*f/f**(2/7))*f*f)))**(-15))**(-9/11) assuming f is positive.
f**(-1275/154)
Simplify (((b*b*b**(4/15)*b*b*b*b)... | {
"pile_set_name": "DM Mathematics"
} |
y ((p*p**(-2/7))/p*p)**5*((p*p**(1/3))/p)**40 assuming p is positive.
p**(355/21)
Simplify (t**(-3)/t)/t*t*t**(-2)*t**(1/3)*t*t*t**(-4) assuming t is positive.
t**(-23/3)
Simplify (n*(n*(n*(n/n**6)/n)/n)/n)**(-1/3) assuming n is positive.
n**(5/3)
Simplify (((h*h**(-2/15))/h)/h)/h*h**(-2/7) assuming h is positive.
h**(... | {
"pile_set_name": "DM Mathematics"
} |
13). What is v rounded to the nearest 10000?
-60000
Suppose -86 - 114 = -3*f + 2*h, 2*f - 5*h - 115 = 0. Round f to the nearest one hundred.
100
Let b = -177.00109 - -177. Round b to four dps.
-0.0011
Suppose -5*z + 0*z = 2*w - 7849992, 5*w = -2*z + 3139980. Round z to the nearest 100000.
1600000
Suppose -3*o + 12 = 0,... | {
"pile_set_name": "DM Mathematics"
} |
*(-26)/k*2. Solve -5*p + 2 = -y for p.
3
Let b = 20 - 14. Let p be 2/4 + (-30)/(-12). Let l = 3 - 3. Solve b = -p*m - l*m for m.
-2
Let r = 32 + -30. Solve 20 = r*q + 2*q for q.
5
Let x = 178 + -173. Solve -5*s = -20 + x for s.
3
Suppose -3*r = -0*r - 3, 2*r = o - 2. Solve g - 6 = -o for g.
2
Let p be 1/(1*(-2)/(-4)). ... | {
"pile_set_name": "DM Mathematics"
} |
+ c**2 + c - 1. Let p be (-42)/7*1*2/(-4). Let h(x) = 30*x - 12*x + 4*x**2 - 4 - 13*x - 5*x**p. What is h(q) - 4*w(q)?
-q**3 + q
Let t(u) = -3*u + 1. Let s(d) = -8*d + 3. Let m be (-1)/4 + 45/4. Let g(z) = -4*z. Let q = -17 + 18. Let x be g(q). Give m*t(n) + x*s(n).
-n - 1
Suppose p - 3 = 1. Suppose -p*a = 4 + 4. Let b... | {
"pile_set_name": "DM Mathematics"
} |
is positive.
f**(-109/1120)
Simplify ((j**(-1/4))**34/((j*j*j*j**(-2/15)*j)/j**5))**(1/41) assuming j is positive.
j**(-221/1230)
Simplify ((((z**2/z)/z*z)/z)/z**(-2/7))/(z**(-15))**(-23) assuming z is positive.
z**(-2413/7)
Simplify (g**(-14)*g**9)**36 assuming g is positive.
g**(-180)
Simplify (y/(y*y/y**(-1/5))*y**... | {
"pile_set_name": "DM Mathematics"
} |
a) -6 (b) -5 (c) 3
c
Let d = -2.055 + 0.055. What is the nearest to 2/3 in -1, d, -5?
-1
Let w(o) = -o. Let z be w(2). Let g = z - 2. Let q = -39/2 - -19. What is the closest to q in g, 1/5, 2/5?
1/5
Let i = 9.06 - 0.06. Let t = 4 - i. Let s = 3/20 + -73/220. What is the nearest to -1/4 in s, t, 1/2?
s
Let t = 189 - ... | {
"pile_set_name": "DM Mathematics"
} |
nutes are there between 11:02 PM and 9:19 AM?
617
What is 466 minutes after 4:55 AM?
12:41 PM
How many minutes are there between 3:34 AM and 2:21 PM?
647
How many minutes are there between 8:10 AM and 5:51 PM?
581
What is 672 minutes after 9:15 AM?
8:27 PM
What is 111 minutes before 11:03 AM?
9:12 AM
What is 628 minute... | {
"pile_set_name": "DM Mathematics"
} |
4238 + 4233 - 12705 - 10*k + 4220. Calculate o(-18).
166
Let g be (-6)/(-24)*(-81 + 10) - 3/(-4). Let t(d) = -2*d**3 - 37*d**2 - 49*d + 30. Determine t(g).
-4
Let u(n) be the second derivative of -n**6/120 + n**5/20 + n**4/4 + 2*n**3/3 - 67*n**2/2 - 22*n. Let l(d) be the first derivative of u(d). What is l(5)?
-16
Let ... | {
"pile_set_name": "DM Mathematics"
} |
4*r = -n - x for n.
1
Suppose 2*m - 4 = -2*x + 5*m, -2*m + 8 = 0. Suppose 4*w + 5*c = -0*c - x, 2*w = -c + 2. Solve -3*d + 12 = 0, 10 + 8 = -2*t + w*d for t.
-3
Let s(i) = 7*i + 5*i - 14*i - 19. Let j be s(-11). Solve 3*l - 2*h = 2*l + j, 0 = -5*h + 5 for l.
5
Let s be 22 + (2 - 3)*2. Let o(t) = -t**2 - 3*t + 1. Let j ... | {
"pile_set_name": "DM Mathematics"
} |
r**2 - 105*r - 63
What is the w'th term of -427, -593, -861, -1225, -1679?
w**3 - 57*w**2 - 2*w - 369
What is the i'th term of 69, 151, 245, 351, 469, 599, 741?
6*i**2 + 64*i - 1
What is the x'th term of 111039, 222078, 333117?
111039*x
What is the a'th term of 571, 1169, 1767?
598*a - 27
What is the c'th term of 86, -... | {
"pile_set_name": "DM Mathematics"
} |
t) = -8*t**3 + 12*t**2 + 149*t - 748. Give g(5).
-703
Let s(p) = 21*p**3 - 4*p**2 + 4*p - 9. What is s(-3)?
-624
Let o(r) = -r**2 - 86*r + 899. Calculate o(-94).
147
Let o(l) = -158*l - 47. Calculate o(-4).
585
Let s(j) = 34*j**2 - 374*j + 17. What is s(11)?
17
Let h(v) = -9*v**3 + 146*v**2 + 15*v + 11. Calculate h(16)... | {
"pile_set_name": "DM Mathematics"
} |
1 - 1 + 3)*(z + 0 + 0) + 1 - 1 - 3*z) in the form p + l*z and give l.
252
Rearrange (79*s - 150*s - 112*s)*(-s - s - s) to the form v*s + n + u*s**2 and give u.
549
Express (-1 + 4 - 1)*(3*w**3 + w**3 - w**3)*(33*w + 30 - 30) in the form g*w**4 + h*w + z*w**3 + b*w**2 + s and give g.
198
Express 118*b**4 + 0*b**2 + 14*... | {
"pile_set_name": "DM Mathematics"
} |
52 - 110 for x.
2
Solve -236*o + 229*o + 217 + 12 = -4*t, 2*t + 3*t + 15 = 0 for o.
31
Solve -15*p = 2*s + 3*p - 56, 0*p - 2 + 3 = p - 1 for s.
10
Solve -2*t + 2581*p + 2 = 4*t - 5*t + 2579*p - 14, -4*p = -12*t + 92 for t.
6
Solve -3*t + 15 = 5*s, -2*t = -s - 7*t + 47 for s.
-3
Solve 5*f - 4547*w + 155 = -4549*w, -3*w ... | {
"pile_set_name": "DM Mathematics"
} |
69. Let z(r) = -r**3 + 3*r + 3. Let w(n) = 4*n**3 - 11*n - 11. Determine b*z(f) - 6*w(f).
-2*f**3
Let n(v) be the third derivative of -v**4/3 + 2*v**3/3 - 26*v**2. Let g(x) = -7*x + 3. Determine -7*g(j) + 6*n(j).
j + 3
Let m(a) = -a + 4. Let w(d) = -2*d + 9. Let v = -115 + 108. What is v*m(x) + 3*w(x)?
x - 1
Let f(k) =... | {
"pile_set_name": "DM Mathematics"
} |
3/2 + 2590*p**2 + 154425*p/2.
-5*p*(p - 1065)*(p + 29)/2
Let 11*z**5 - 101*z**4/3 + 24*z**3 - 4*z**2/3 = 0. What is z?
0, 2/33, 1, 2
Factor -3*q**3 - 252*q**2 - 3948*q + 8928.
-3*(q - 2)*(q + 24)*(q + 62)
Solve 2*p**2 - 46132*p - 46134 = 0.
-1, 23067
Find y, given that -2*y**3 - 11312*y**2 + 295126*y - 1920516 = 0.
-56... | {
"pile_set_name": "DM Mathematics"
} |
positive.
a**(4/5)
Simplify ((c**(-2/9)/c)**(7/10))**(3/4) assuming c is positive.
c**(-77/120)
Simplify w**(6/11)*w/(w*w**11/w*w) assuming w is positive.
w**(-115/11)
Simplify ((p**(-2/5))**(-22))**41 assuming p is positive.
p**(1804/5)
Simplify b**(-9/5)*b/b**(2/99) assuming b is positive.
b**(-406/495)
Simplify q*q*... | {
"pile_set_name": "DM Mathematics"
} |
positive.
x**(217/9)
Simplify (d**(-38)*((d**(-22)/d)/d)/d)**(-2/7) assuming d is positive.
d**18
Simplify ((x/(x**(-13)*x*x))/(x**(-14)/x))/((x**(-18)*x)/(x*x**(-2/3)/x)) assuming x is positive.
x**(130/3)
Simplify (((g*g**(-3/5))/(g/g**(-12/11)))/(g*g**(-2/19)*g*g*g**(2/23)*g))**(-27/4) assuming g is positive.
g**(36... | {
"pile_set_name": "DM Mathematics"
} |
401
What are the prime factors of 103993605?
3, 5, 83, 9281
List the prime factors of 6587956.
2, 1646989
What are the prime factors of 5865839730?
2, 3, 5, 23, 2833739
List the prime factors of 286236102.
2, 3, 19, 2510843
List the prime factors of 5480562660.
2, 3, 5, 41, 2227871
What are the prime factors of 3461048... | {
"pile_set_name": "DM Mathematics"
} |
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