text stringlengths 270 8.19k | meta dict |
|---|---|
t 5, 3, d.
d, 3, 5
Let n = 42 - 45. Let l be 6/(-9) + (-4)/3. Let t(p) = p - 1. Let h be t(-3). Put l, n, h in descending order.
l, n, h
Let s = -5 + 5. Let h = 8 - 5. Let k = h - s. Put -5, k, -0.1 in increasing order.
-5, -0.1, k
Let w = -10 - -14. Let o = -4.4 + w. Let t = 27/4 - 85/12. Sort o, -1/5, t.
o, t, -1/5
S... | {
"pile_set_name": "DM Mathematics"
} |
29692, 629690?
-2*f + 629700
What is the f'th term of -270, -233, -196, -159?
37*f - 307
What is the k'th term of -496, -680, -852, -1006, -1136?
k**3 - 191*k - 306
What is the c'th term of -8737, -35023, -78833, -140167, -219025, -315407, -429313?
-8762*c**2 + 25
What is the p'th term of 1755, 2082, 2409, 2736, 3063, ... | {
"pile_set_name": "DM Mathematics"
} |
**3 - 40*b**2 - 18. Let i(x) = 6*l(x) + t(x). What is the third derivative of i(d) wrt d?
-2232*d - 6
Suppose 0 = -2*q + 8, -10*j + 15*j = -3*q + 27. Find the second derivative of 68*l**2 - l**5 - 287*l - 15*l - j*l - l**5 wrt l.
-40*l**3 + 136
What is the third derivative of 5*k**3 - 94*k**2 - 4*k**3 + k**3 - 1721431*... | {
"pile_set_name": "DM Mathematics"
} |
n - f, -7 = -4*a + 2*n + 13. Solve 4*b - 8 = 4*q, -1 - 5 = -2*b + a*q for b.
1
Let d = -53 - -53. Suppose d = 16*a - 48 - 16. Solve 3*g - a*u - 4 = 0, 0 = 3*g - 7*g + 5*u + 4 for g.
-4
Suppose 5*r - 3 - 2 = 0. Let j = -294 - -297. Solve 0 = 4*u - 3*d - r, d + 26 = 4*u + j*d for u.
4
Let d(j) = j**2 - j + 1. Let z(y) = ... | {
"pile_set_name": "DM Mathematics"
} |
+ 8. Let c be g(6). What is the units digit of (-8)/10*c/(-8)?
4
Let y(j) = j**2 + j + 2. Let u be 2/(-6) + (-13)/(-3). Suppose -2*k - 20 = -5*x, u = 3*k + x - 0*x. What is the units digit of y(k)?
2
Let k(v) = -53*v + 10. What is the tens digit of k(-2)?
1
Let n(f) = -3*f + 0*f + 5*f - 2. What is the units digit of n(... | {
"pile_set_name": "DM Mathematics"
} |
m) = -m - 1. Let d(h) = 3*h + 2. What is i*a(j) - d(j)?
j + 2
Let n(i) = 6*i**3 + i**2. Let s(g) be the second derivative of -g**5/10 - 2*g. Suppose 2*d = -5*f - 24, -5*f = -55 + 75. Give d*n(t) - 7*s(t).
2*t**3 - 2*t**2
Let y(g) = -7*g**2 + 3*g + 2. Let q(v) = -20*v**2 + 8*v + 6. Let u = -133 + 136. Calculate u*q(o) -... | {
"pile_set_name": "DM Mathematics"
} |
s the next term in 44, 40, 34, 26?
16
What is next in 279, 293, 307, 321, 335?
349
What is the next term in 2534, 2536, 2538?
2540
What is the next term in 118, 125, 134, 145, 158, 173, 190?
209
What is the next term in -188, -761, -1710, -3029, -4712, -6753, -9146, -11885?
-14964
What is the next term in -2, -13, -32,... | {
"pile_set_name": "DM Mathematics"
} |
List the prime factors of l(1).
2, 43
What are the prime factors of 490584/138 - 3/(-69)?
3, 5, 79
Let y = 66 + -61. List the prime factors of (10/6)/y*297.
3, 11
Let c be (-174)/(-4) - 1/((-6)/9). List the prime factors of (c/10 - 2)*52.
2, 5, 13
Suppose 10*y + 24 = 14*y. List the prime factors of (-3836)/(-42) + (-2... | {
"pile_set_name": "DM Mathematics"
} |
t of a?
9
Let l(i) = i**3 - 10*i**2 - 11*i + 9. Let d be l(11). Let q(w) be the second derivative of -w**4/12 + 13*w**3/6 - 7*w**2 + w. What is the units digit of q(d)?
2
Suppose -133*n = -124*n - 5400. What is the hundreds digit of n?
6
Let f(w) = 3*w**2 + 12 - w**2 - 3 - w + 6*w. What is the units digit of f(8)?
7
Wh... | {
"pile_set_name": "DM Mathematics"
} |
+ -5*(2 - 3). Suppose w = r*p + 1. What is the units digit of p?
2
Let v(n) = -5*n**2 - 15. Let g(r) = -9*r**2 - r - 31. Let b(u) = -4*g(u) + 7*v(u). What is the hundreds digit of b(-14)?
1
Let u = 500 - 33. What is the hundreds digit of u?
4
Let o(r) = 20*r + 77. What is the hundreds digit of o(11)?
2
Suppose 2*c + 2... | {
"pile_set_name": "DM Mathematics"
} |
/21 and -41/378.
378
Find the common denominator of 52/7 and 57/1136.
7952
Calculate the least common multiple of 550 and 350.
3850
Calculate the common denominator of 137/4440 and -113/54.
39960
Calculate the common denominator of -50/143 and 31/52.
572
Find the common denominator of 69/530 and 53/110.
5830
Find the c... | {
"pile_set_name": "DM Mathematics"
} |
Suppose -v = -k - s. Solve -2 = -v*c + 3 for c.
1
Suppose -4*x - 1 = 7. Let l be -1*9/(-1 + x). Suppose -l*a - 3 = -12. Solve a = -m - 0 for m.
-3
Let t be (-1 + (-2)/(-4))*0. Let u be (-3)/(45/12)*5. Let l be (-6 + 7)/((-1)/u). Solve t*m + l = -m for m.
-4
Let w = 8 - 5. Suppose 6 = 2*z - v, 0*v = w*v - 12. Solve 12 =... | {
"pile_set_name": "DM Mathematics"
} |
d/12 - 4/(-24). Let r(n) = 26*n - 3. Let m be r(u). Calculate the highest common factor of m and 17.
17
Let x be (2 + (-48)/27)*9. Let m(i) = i**2 + 3*i + 9. Let k be m(-6). Let w = 45 - k. Calculate the highest common divisor of w and x.
2
Suppose o = -2*m - 2*m + 12, -5*m + 22 = 3*o. Let c be 10/((-20)/(-4)) - 4/(-4... | {
"pile_set_name": "DM Mathematics"
} |
llest value? (a) t (b) -2 (c) n
a
Let y = 35.074 - 0.074. Let l = y - 33. Which is the second biggest value? (a) l (b) 16 (c) -2/7 (d) -5
a
Let v = 0.019 - 9.319. Let g = v - -0.3. Let n = -6 - g. Which is the second biggest value? (a) n (b) -2 (c) 0.4
c
Let h = -1 + 1.2. Let r = 65 + 15. Let s = -76 + r. Wha... | {
"pile_set_name": "DM Mathematics"
} |
7*n + 3*n - 8 = 0. Let d = 47.3 - 44. Let g = d - 4.3. What is the nearest to g in -4, n, -0.3?
-0.3
Let d(m) = -m**3 + 1 - 2*m**2 + 6*m**2 + 4*m**2 - 13*m. Let q be d(6). What is the closest to 2/13 in q, 0.5, -4?
0.5
Let s = -1543/645 - 1/129. Which is the closest to -0.1? (a) -0.5 (b) s (c) -2/9
c
Suppose 2*h = 6... | {
"pile_set_name": "DM Mathematics"
} |
Let w be 91/12*(-132)/(-9). Let j = w - 111. Put j, p, -4 in decreasing order.
p, j, -4
Let z = -21 + 19.2. Let u = z + 2.2. Sort u, -1, -1/3 in ascending order.
-1, -1/3, u
Let t be (5/(-2))/(6/(-4) - -1). Sort -3, -4, t, -5.
-5, -4, -3, t
Suppose -4*c - o = 27, 9*c + o = 4*c - 35. Let k be (2/c)/(5/(-20)). Put -0.5,... | {
"pile_set_name": "DM Mathematics"
} |
e
Does 290 divide 5532910?
True
Does 139 divide 1305187?
False
Is 924749 a multiple of 323?
True
Is 231472 a multiple of 14?
False
Is 3356077 a multiple of 622?
False
Is 74698 a multiple of 13?
True
Is 11309400 a multiple of 36?
True
Is 4 a factor of 31924?
True
Does 17 divide 3287314?
False
Is 1034 a factor of 3066065... | {
"pile_set_name": "DM Mathematics"
} |
Suppose -2*b = -4*n + 24, p*n - 3*b = -6*b + 41. Is 4 a factor of n?
False
Suppose -c - 2*q = 0, 3*c - 2*q - 4 + 20 = 0. Let p(i) = -2*i**3 - 6*i**2 - 2*i - 2. Is p(c) a multiple of 19?
True
Suppose -7*y + 8*y - 28 = 0. Does 7 divide y?
True
Suppose -p = -2 - 0. Let a be 1/p - (-1)/(-2). Suppose v + 45 = 2*c - a*c, 5*... | {
"pile_set_name": "DM Mathematics"
} |
478. Is a a composite number?
False
Suppose -318750 - 341110 = -10*f. Is f prime?
False
Let y = -56 - -653. Let h = 848 - y. Is h prime?
True
Let n(g) = -4*g**2 + 94*g - 9. Let a be n(27). Suppose -5*v + 0*v + 2950 = 0. Let b = v + a. Is b composite?
True
Let k(d) = 86*d**2 + 5*d + 3. Is k(-2) a prime number?
True
Sup... | {
"pile_set_name": "DM Mathematics"
} |
0, -1515, -1534, -1557, -1584?
-2*m**2 - m - 1479
What is the y'th term of -42, -78, -94, -78, -18, 98, 282?
2*y**3 - 2*y**2 - 44*y + 2
What is the d'th term of 420, 408, 398, 390, 384, 380?
d**2 - 15*d + 434
What is the x'th term of 1191, 1198, 1217, 1254, 1315, 1406, 1533, 1702?
x**3 + 1190
What is the k'th term of 2... | {
"pile_set_name": "DM Mathematics"
} |
**2 + o. Let n be q(1). Suppose 40 = -3*i + y - n*y, 3*i + 25 = y. Let c = i + 15. What are the prime factors of c?
5
Suppose -198 + 657 = 3*a. Let j be 6/21 + a/(-21). Let h(d) = d + 9. List the prime factors of h(j).
2
Let h(o) = 3*o**2 - 6*o - 11. What are the prime factors of h(6)?
61
Suppose 0 = n - 6*n - 50. Let ... | {
"pile_set_name": "DM Mathematics"
} |
w - 546717924 = 0?
-23382
Solve -r**4 - 7*r**3/2 + 6*r**2 + 63*r/2 + 27 = 0 for r.
-3, -2, -3/2, 3
What is s in -4*s**3/7 + 78136*s**2/7 - 156260*s/7 + 78128/7 = 0?
1, 19532
What is z in -12*z**4 - 232240*z**3 - 1124041512*z**2 - 3744457200*z - 1123267500 = 0?
-9675, -3, -1/3
Factor h**2/7 + 89*h/7 - 6950/7.
(h - 50)*(... | {
"pile_set_name": "DM Mathematics"
} |
p(15). Suppose 0 = -4*v + c + 45. Calculate the smallest common multiple of v and 20.
180
What is the smallest common multiple of (-6*(-121)/(-99))/(4/(-6)) and 191?
2101
Let v be -16 - -16 - (30 - 0). Calculate the common denominator of 18 and (-2)/v*(-25)/15.
9
Suppose 0 = -4*j + k + 3*k + 172, -7*j + 306 = -2*k. Ca... | {
"pile_set_name": "DM Mathematics"
} |
f 16?
True
Suppose 42 = -3*c + 5*c. Does 7 divide c?
True
Let v = -3 + 3. Let g = 10 + v. Is 5 a factor of g?
True
Let v(q) = 4*q**2 + 8*q - 22 - 3*q**2 + 6. Let i be (-2)/(-1) + (-13)/1. Does 9 divide v(i)?
False
Suppose s = -4*o + 117, 3*s + 2*o = 7*s - 414. Suppose 2*n - 17 = -5*v + 93, -5*n = 4*v - s. Is 13 a facto... | {
"pile_set_name": "DM Mathematics"
} |
*d**3 - 9*d**2 + 8*d**2 + 5*d**4 to a*d**2 + i*d**3 + f*d + h*d**4 + u and give i.
2
Rearrange (2 + 1 - 4)*(-106*r - 151*r - 251*r) to the form n*r + j and give n.
508
Express -1539 - 188*l**2 + 1539 as g*l**2 + q + m*l and give g.
-188
Rearrange -16699 - 6*g**3 + g**3 + 16689 + 2*g**2 to the form u*g**2 + s + d*g + o*... | {
"pile_set_name": "DM Mathematics"
} |
Put 76, 1, 295036 in ascending order.
1, 76, 295036
Put 5, 3, -80, -18, -46 in decreasing order.
5, 3, -18, -46, -80
Put 12371, 2, -67, -1, 5 in ascending order.
-67, -1, 2, 5, 12371
Sort 5, 4316, -2, -41.
-41, -2, 5, 4316
Sort 1, 27626, 8, 0, 3, 2 in increasing order.
0, 1, 2, 3, 8, 27626
Put -556619, 4, -8 in decrea... | {
"pile_set_name": "DM Mathematics"
} |
ion?
-4000000
Let a = 358.05 - 366. Let u = a + 8. Round u to one decimal place.
0.1
Let a = 6.14 + -0.14. Let h = 6.25 - a. Round h to one dp.
0.3
Let t = 2.73 - 2.557. Let c = -0.717 - t. Round c to one dp.
-0.9
Let o be (-3 - 3) + 8 + -24. What is o rounded to the nearest integer?
-22
Suppose m = 4*w + 1837, -8 = 5*... | {
"pile_set_name": "DM Mathematics"
} |
ve of -t**4/6 + 28*t**2. Let y(g) = 28*g**2. Calculate q(y(w)).
-112*w**2
Let t(y) = -y + 9. Let z(u) = -2*u + 15. Let g(d) = -5*t(d) + 3*z(d). Let q(v) = -45*v. Give g(q(i)).
45*i
Let j(i) = i**2. Let c be (30/(-9))/((-2)/3). Suppose c*v = 4*o - 10, -34 = -3*v - 5*o - 3. Let t(y) = 3*y**2 - 2*y**2 - 5*y**v. Calculate ... | {
"pile_set_name": "DM Mathematics"
} |
28
Solve -5*u - 58 + 11 = -w + 21, w + 3*u = 33 + 11 for w.
53
Solve 5*j - 64*k + 422 = 82, -43*j + 4*k = -38*j + 40 for j.
-4
Solve 2*j - 19*t = -973 + 1173, 5*t = -50 for j.
5
Solve n - 550*t + 555*t + 11 = 3, 3*t + 2 = 2*t for n.
2
Solve 2*i + 20 = 3*f, 24*f + i + 19415 - 19507 = 0 for f.
4
Solve 1226 - 2487 = 2*x +... | {
"pile_set_name": "DM Mathematics"
} |
urth biggest value? (a) z (b) -34 (c) o (d) -3
b
Let q be (-1325)/1400 - 3/(-8). Let z = 3758/323 - 196/17. Which is the third smallest value? (a) q (b) -7 (c) z (d) -0.4
d
Let d = 0.7 + -0.5. Let i = -1 + 5. Let s = -4.3 + i. Which is the third biggest value? (a) d (b) s (c) 0
b
Let s = 6567.4 + -6567. Whic... | {
"pile_set_name": "DM Mathematics"
} |
*(u + 1)**2
Let n(y) be the first derivative of y**4/14 - 2*y**3/21 + 33. Suppose n(d) = 0. Calculate d.
0, 1
Let s be (-6)/21 + (-1393)/(-245). Solve -s*c**5 + 72/5*c**4 + 12/5*c + 24/5 - 3/5*c**3 - 78/5*c**2 = 0.
-2/3, 1, 2
Let z = 0 - 0. Let q be (0/(-1) + z)/1. Factor 0*h - 1/4*h**5 + 1/2*h**4 + q*h**2 + 0 - 1/4*h*... | {
"pile_set_name": "DM Mathematics"
} |
by y?
4
Let x(w) = 2*w**3 - 9*w**2 + 21. Suppose -3 = -y - 0*y. Suppose -j = -2*i + 28, 6*i - y*i = -4*j + 31. Calculate the remainder when i is divided by x(4).
3
Let p(m) = 2*m**3 - 87*m**2 - 40*m - 118. What is the remainder when p(44) is divided by 8?
2
Let y(d) = -d**2 + 5*d + 11. Let z be y(5). Let i = 7 + z. Wha... | {
"pile_set_name": "DM Mathematics"
} |
of y?
1
Let n = -6 + 15. Suppose 3*s - 2*p + n = 77, 4*s - 3*p - 89 = 0. What is the tens digit of s?
2
Suppose 2361 = 5*q - 3*b - 6577, 3*q + b - 5360 = 0. What is the thousands digit of q?
1
Let r(l) = -3*l - 2*l + 8 + 3*l - l. Let y be r(4). What is the tens digit of (-11 - -13)/(y/(-58))?
2
Let q(h) = -h**3 + 6*h**... | {
"pile_set_name": "DM Mathematics"
} |
n a composite number?
False
Let z(y) = -y**3 - 10*y**2 - 8*y + 10. Let o be z(-6). Let r = 1311 - o. Is r composite?
True
Let m(z) = -38*z**3 + 4*z**2 + 2*z - 1. Is m(-3) prime?
False
Is 2*130225/(-20)*(-12)/10 a composite number?
True
Is 73831/8 + -1 + 9/8 a prime number?
False
Let u(j) = 6*j**2 + 10*j - 7. Let r(b) =... | {
"pile_set_name": "DM Mathematics"
} |
z, 24, -5/8?
-5/8
Let f be (-11)/(-14) + 1/(-2). Let y = 125 - 247/2. Which is the biggest value? (a) f (b) y (c) -3
b
Let n = -30 + 34. Suppose -n*o + 2*t - 8 = 0, -o + 4*t - 5 = 2*t. Which is the fourth biggest value? (a) 0.2 (b) -4 (c) -3.1 (d) o
b
Let m = -44 - -26. Let h = -20 - m. Which is the smallest val... | {
"pile_set_name": "DM Mathematics"
} |
ve.
u**(1375/36)
Simplify t**(-16)*t/t**(-3) assuming t is positive.
t**(-12)
Simplify s**(-4)*s*((s/s**(-1))/s)/s*s*s**(-4)*s*s**4 assuming s is positive.
1/s
Simplify (f/(f**(-2/11)/f)*f**0)**(-4) assuming f is positive.
f**(-96/11)
Simplify q*q**(-1/18)*q*(q**(-15)*q)/q assuming q is positive.
q**(-235/18)
Simplify ... | {
"pile_set_name": "DM Mathematics"
} |
z) = -z**2 - 18*z - 30. Let s = 39 + -42. Let q be (-4 - s)*(14 + 2). Let o be x(q). Solve 1 = u, o*n + 3*u + 22 = -3*n for n.
-5
Let h be (20 - -6) + 6/2*(-12 - -9). Solve 5*s + 40 = -20*t + h*t, t - 15 = 4*s for s.
-5
Let i = 10 + 32. Suppose -5*b + 5 = t - 4, 2*b - i = -2*t. Let q = -98 - -102. Solve -2*y + y + 12 =... | {
"pile_set_name": "DM Mathematics"
} |
w - 2*w + (-4 + 4 - 1)*(-3 + 3 + 2*w) + 2 - w - 2 + 2 - w - 2.
-7*w
Expand (7 - 8 + 9)*(-5*r**2 + 8*r**2 - r**2).
16*r**2
Expand (2*s**3 - 2*s + 2*s)*(1 - 6*s + 3*s - s).
-8*s**4 + 2*s**3
Expand (p - 2 + 2)*(3*p - 3*p + 2*p) + (-2 - 2 + 3)*((3*p + 0*p - 2*p)*(p - 3*p + 3*p) + 0 + 0 - 2*p**2 + 0*p**2 + p**2 + p**2 + 3*p... | {
"pile_set_name": "DM Mathematics"
} |
et n = -53 - g. Let x be 3 - 7/((-21)/48). Is n at least x?
False
Suppose 3*v + 16 = 1, -789 = -3*n + 3*v. Let l be -2 - ((n + -3)/(-5) + 4). Is 44 equal to l?
False
Let x = 1159265061/5377 - 215597. Which is smaller: -1 or x?
-1
Let d = -0.3 - -0.8. Let u = -4255 - -4818.1. Let n = 563 - u. Which is smaller: n or d?
n... | {
"pile_set_name": "DM Mathematics"
} |
suming b is positive.
b**(-187147/42750)
Simplify ((d**(-11)/d)/d**(-2/15))**(18/7)*(d/(d**(5/6)*d))/((d/(d*(d*d**(2/3)/d)/d))/d)*d/(d*d**(1/4)*d)*d**0 assuming d is positive.
d**(-13411/420)
Simplify ((c/(c*c*(c/(c/c**(-2/57)))/c)*c*(((c*c*c/(c**(-14)/c))/c)/c)/c)/(c**(10/7)/c*c/(c/(c/(c**(-16/7)*c)))))**(2/5) assumin... | {
"pile_set_name": "DM Mathematics"
} |
(c) -13 (d) 1349 (e) -1/3 (f) 4/7
b
Which is the nearest to 17/75? (a) 23 (b) 2 (c) -3 (d) -85 (e) -0.1
e
What is the nearest to -1 in -15, 0, -0.11, 2?
-0.11
Which is the closest to -0.1? (a) -1/18932 (b) 0.5 (c) -0.148
c
Which is the nearest to 0.1? (a) 65 (b) 21414 (c) 21 (d) -2
d
Which is the neares... | {
"pile_set_name": "DM Mathematics"
} |
f 1806228 and 15?
9031140
Calculate the smallest common multiple of 36264 and 149589.
1196712
Calculate the lowest common multiple of 7661 and 376.
61288
What is the common denominator of -37/437436 and 101/12?
437436
Find the common denominator of -16/12705 and 74/19635.
215985
What is the lowest common multiple of 15... | {
"pile_set_name": "DM Mathematics"
} |
q, g, -1?
g
Let v = 6 + -16/3. Let l = 14.2 + -4.2. Which is the biggest value? (a) 0.2 (b) l (c) v
b
Let y = -233 - -1861/8. Which is the fourth biggest value? (a) y (b) -3 (c) -1.7 (d) -1
b
Let k = -8 - -8.3. Let j = -28 + 28.1. Which is the third smallest value? (a) j (b) k (c) 0
b
Let l = -2.1 - -2. Let t... | {
"pile_set_name": "DM Mathematics"
} |
- 2*q)*(0 + 4 - 2) - 293*q + q**2 + 328*q + q**2).
-8*q**3 - 35*q**2
Expand -93*h + 90*h - 3 + 1 + (-2 - h + 2)*(-1 + 2 + 1).
-5*h - 2
Expand (4*g + g - 6*g)*((-2 + g + 2)*(-3 + 4 - 2) - 58 + 97*g + 31 + 28).
-96*g**2 - g
Expand ((-3 - h + 3)*(2 + h - 2) + 0 - 3 - 2*h**2 + 2)*(-63 - 86*h**2 + 63).
258*h**4 + 86*h**2
Ex... | {
"pile_set_name": "DM Mathematics"
} |
4*y + 2*k. Put q, 5, y in ascending order.
y, 5, q
Let s(a) = 3*a - 117. Let m(z) = 2*z - 57. Let c(n) = -7*m(n) + 4*s(n). Let h be c(-32). Let p(w) = w - 3. Let q be p(6). Sort q, 4, h in decreasing order.
4, q, h
Let c = 75 + -56. Suppose 0 = -3*a - 5*l + c, 3*l = a + l + 12. Suppose -5*r + 2*b = -19, -10 - 2 = -4*b.... | {
"pile_set_name": "DM Mathematics"
} |
sqrt(480) + sqrt(480))*5)/(((sqrt(70)/(sqrt(21)/sqrt(3)) - sqrt(10)) + sqrt(1210) + -1*sqrt(1210) + sqrt(1210))*-1).
-500*sqrt(3)/11
Simplify 1 + ((5*(-2 + sqrt(425) + 0 - sqrt(425) - (5*(sqrt(425) - 2*sqrt(425)) + sqrt(425))))**2 - (-6*-1*sqrt(425) - (0 + (sqrt(425) + 1)**2))).
-2020*sqrt(17) + 170527
Simplify 0 + (3*... | {
"pile_set_name": "DM Mathematics"
} |
t is the l'th term of -24, -36, -44, -48, -48, -44?
2*l**2 - 18*l - 8
What is the l'th term of -1440, -1438, -1436, -1434, -1432?
2*l - 1442
What is the l'th term of 56, 112, 164, 212, 256, 296, 332?
-2*l**2 + 62*l - 4
What is the k'th term of -74, -101, -128?
-27*k - 47
What is the l'th term of 335, 345, 369, 413, 483... | {
"pile_set_name": "DM Mathematics"
} |
2*t. Calculate i(22).
-8
Let f(i) = -2 + 8 - 5*i - 7. Suppose 4*c + 34 - 16 = -5*h, 2*c + 2*h + 8 = 0. Calculate f(c).
9
Let z(q) = -1 - 9*q + 11*q - 2 - 12 + 2. Determine z(6).
-1
Let i(s) = 31*s**2 - 31*s - 3. Let f(v) = -7*v**2 + 7*v. Let h(w) = 9*f(w) + 2*i(w). Let a(t) = -t**3 + t**2 - t. Let j be a(0). Calculate ... | {
"pile_set_name": "DM Mathematics"
} |
the first derivative of r**5/120 + r**3/3 - 3. Let d(q) be the third derivative of w(q). Let v(h) = 3*h. Calculate d(v(i)).
3*i
Let c(w) = w**2. Let t(u) = -7*u - 7. Let q(p) = 3*p + 4. Let z(s) = 7*q(s) + 4*t(s). Calculate z(c(j)).
-7*j**2
Let d(g) = -2*g**2. Let x(c) = 1. Let q(o) = -3*o + 3. Let i(z) = q(z) - 3*x(z... | {
"pile_set_name": "DM Mathematics"
} |
term in -1028, -2182, -4106, -6800, -10264, -14498, -19502?
-25276
What comes next: 44284, 88682, 133104, 177550?
222020
What is the next term in -24737694, -24737685, -24737676?
-24737667
What comes next: -96355132, -96355133, -96355134, -96355135?
-96355136
What is the next term in 97371, 194592, 291813, 389034, 4862... | {
"pile_set_name": "DM Mathematics"
} |
8513518 for x.
26
Solve 67395 = 7274*w - 71321 + 44154 for w.
13
Solve 14065 = 1611*z - 8489 for z.
14
Solve -405*u + 20*u = 293*u + 659*u + 44121 for u.
-33
Solve -40030 = 2711*o - 3155*o - 4567*o + 270652 for o.
62
Solve -4690 = 1412*l + 6606 for l.
-8
Solve 6291 + 1315 = 421*b - 7971 for b.
37
Solve 77*d = 525214 -... | {
"pile_set_name": "DM Mathematics"
} |
is 5a + 6?
60
In base 2, what is -1 - 10010?
-10011
In base 15, what is 1 - 58?
-57
In base 9, what is -31 - 31?
-62
In base 16, what is 2f7 - 0?
2f7
In base 14, what is 3 + -ca5?
-ca2
In base 10, what is 16 - -20?
36
In base 8, what is 143 + -7?
134
In base 5, what is -30 + -2?
-32
In base 10, what is 2 + 132?
134
In ... | {
"pile_set_name": "DM Mathematics"
} |
Is 96 a factor of 268?
False
Is 759 a multiple of 23?
True
Is 4835 a multiple of 9?
False
Does 16 divide 1504?
True
Does 34 divide 9919?
False
Is 71 a factor of 1478?
False
Is 14 a factor of 1432?
False
Is 60 even?
True
Is 42 a factor of 14209?
False
Does 28 divide 22303?
False
Does 30 divide 22650?
True
Is 9 a factor... | {
"pile_set_name": "DM Mathematics"
} |
ked without replacement from {o: 1, r: 1, e: 1}. What is prob of picking 1 r and 1 o?
1/3
Calculate prob of picking 1 q and 2 l when three letters picked without replacement from llqllllllqlll.
5/13
Calculate prob of picking 2 a when two letters picked without replacement from hawhwhhawwk.
1/55
Three letters picked wit... | {
"pile_set_name": "DM Mathematics"
} |
/(2*3). Let n = 5/11 + t. Which is the closest to n? (a) 1/2 (b) g (c) 0.1
c
Let y be 5*(68/(-20) - -4). Suppose y*w = 5*z + 20, -5*w = -0*z + 4*z - 21. Which is the nearest to w? (a) 2/13 (b) 2 (c) 1/10
b
Let n = -3 - -2.9. Let p = 2245 + -2245. Which is the nearest to n? (a) -2/13 (b) 0.2 (c) p
a
Let z = -18... | {
"pile_set_name": "DM Mathematics"
} |
from bbbfubuub. What is prob of sequence ufub?
5/504
Two letters picked without replacement from {p: 7, d: 2}. Give prob of sequence dd.
1/36
What is prob of sequence xx when two letters picked without replacement from xlooilqoqioxl?
1/78
Calculate prob of sequence ekfk when four letters picked without replacement from... | {
"pile_set_name": "DM Mathematics"
} |
5*u)*(46 + 17 - 4) to the form m*u + o and give m.
-413
Express 22 - 41 + 18 - 7*f**2 - 32*f**3 in the form j*f**2 + k*f + a*f**3 + d and give d.
-1
Rearrange 264*l**3 - 12 - 3*l**2 + 4*l - 261*l**3 - 21 + 5*l**2 - 8*l to v + f*l + k*l**3 + o*l**2 and give f.
-4
Express (21 - 30 - 17)*(-19*y - 26*y + 57*y)*(5*y**2 - 4... | {
"pile_set_name": "DM Mathematics"
} |
, w
Suppose 0 = -2*o - b - 83, o + b - 26 + 64 = 0. Sort 1, o, 7, 2, -4 in descending order.
7, 2, 1, -4, o
Suppose 126 = z - 4*s, 4*s + 260 = 4*z - 244. Suppose z*x - 127*x = 3. Suppose a = -3*a - 20. Sort 5, a, -1, x.
a, x, -1, 5
Let h = 2 + -2.2. Suppose -3*u - 3*d + 57 = 0, 18*u - 16 = -4*d + 60. Put u, 0.05, h, -4... | {
"pile_set_name": "DM Mathematics"
} |
(-5) + (-844)/(-20)?
2, 3, 7
Let t be 4/(-14) - (-161)/49. Suppose 4*u = -y, 8*u - t*u - 15 = -5*y. What are the prime factors of y?
2
Let y be (0 + 3)*2/6. Suppose y = 3*s + 25. What are the prime factors of (6/4)/((-2)/s)?
2, 3
Let m(a) = a**2 + 6*a + 3. Let d be m(-6). Suppose 0 = -2*l, 2*p - 14 - 4 = d*l. What are ... | {
"pile_set_name": "DM Mathematics"
} |
-1011101111011 (base 2) to base 3
-22020122
Convert 16e12f (base 16) to base 13.
406656
What is 862088 (base 9) in base 4?
1331110100
What is -3b3520 (base 12) in base 16?
-ef628
249234 (base 10) to base 2
111100110110010010
Convert 1132040031 (base 5) to base 6.
131552031
What is 618409 (base 10) in base 5?
124242114
... | {
"pile_set_name": "DM Mathematics"
} |
test common factor of p and 30?
10
Suppose 22 = 4*q + 2*u, 4*q + u + 2 - 23 = 0. Suppose q*p - 56 = p. What is the greatest common divisor of p and 70?
14
Suppose i + 3 = 7. Let p be (2/(-4))/((-2)/i). Calculate the highest common factor of 4 and p.
1
Let a = 44 - 20. Calculate the greatest common divisor of 60 and a.
... | {
"pile_set_name": "DM Mathematics"
} |
et 3/2*v**2 + 2 - g*v**3 + 15/4*v = 0. What is v?
-1, 8
Let k(b) = -3*b**2 - 56*b + 49. Let q(t) = -5*t**2 - 85*t + 74. Let o(n) = -2*n**2 + 22*n - 12. Let m be o(10). Let l(h) = m*k(h) - 5*q(h). Factor l(v).
(v - 22)*(v - 1)
Let w(j) = 5*j**2 - 3*j**2 - j**2 + 6*j. Let x(s) = s**2 + 5*s - 12. Let p(z) = -3. Let k(q) =... | {
"pile_set_name": "DM Mathematics"
} |
second derivative of l(v) wrt v?
-260*v**3
Let k(t) be the second derivative of 1/2*t**2 + 1/5*t**5 + 0 - t + 0*t**4 + 0*t**3. What is the derivative of k(z) wrt z?
12*z**2
Let i = -18 - -9. Let z(d) = 5*d**2 - 6. Let p(h) = 20*h**2 - 25. Let q(x) = i*z(x) + 2*p(x). Differentiate q(g) with respect to g.
-10*g
Let r(f) ... | {
"pile_set_name": "DM Mathematics"
} |
etermine w*m(l) - 2*z(l).
-2*l**3 + 2*l**2 - 1
Let t(g) = -g**2 + g - 1. Let s = 1907 + -1902. Let w(j) = 2*j**2 + 6*j - 4. Give s*t(z) - w(z).
-7*z**2 - z - 1
Let c(z) = -84547*z**2 - 295*z - 3245. Let y(d) = 2285*d**2 + 8*d + 88. Give -8*c(h) - 295*y(h).
2301*h**2
Let l = -3 + 2. Let w(h) = -1. Let u(x) = x + 3. Let ... | {
"pile_set_name": "DM Mathematics"
} |
of 0, 26, 92, 204, 368?
p**3 + 14*p**2 - 23*p + 8
What is the x'th term of -75, -325, -741, -1323, -2071?
-83*x**2 - x + 9
What is the t'th term of 93, 154, 211, 264?
-2*t**2 + 67*t + 28
What is the w'th term of 198, 210, 224, 240, 258?
w**2 + 9*w + 188
What is the r'th term of -4546, -9092, -13638?
-4546*r
What is the... | {
"pile_set_name": "DM Mathematics"
} |
- 12 - 6. Let d be (-65)/(-15) - 4/(-6). Let r(x) = -5*x**3 - x**2 - 7. Give d*r(i) - 4*n(i).
-i**3 + 3*i**2 - 3
Let t(j) = j**3 - 34*j**2 - 68*j - 142. Let d be t(36). Let u(o) = 9*o**2 - 21*o + 4. Let r(x) = 2*x**2 - 4*x + 1. What is d*u(p) - 11*r(p)?
-4*p**2 + 2*p - 3
Let d(s) = 585*s - 4. Let x(u) = 6*u. Determine ... | {
"pile_set_name": "DM Mathematics"
} |
t replacement from krkzrg.
2/15
Four letters picked without replacement from iiklnktkktnkik. Give prob of picking 1 i, 2 k, and 1 l.
45/1001
Calculate prob of picking 1 o, 1 v, and 1 p when three letters picked without replacement from wwwowpwvw.
1/84
What is prob of picking 2 s and 1 m when three letters picked withou... | {
"pile_set_name": "DM Mathematics"
} |
.3 - 0.2. Suppose -5 = -2*w - 7. What is the nearest to 1 in 1/5, q, w?
1/5
Let x = -1.06 - -0.86. Let h = -2 + 0. Let l be 3/(-9) + (-1 - -1). Which is the nearest to l? (a) 3 (b) h (c) x
c
Let i = 194 - 196. What is the nearest to -8 in i, 4, -4?
-4
Let z = -0.9 - -2.9. What is the closest to z in -6, -2/11, -0.4?... | {
"pile_set_name": "DM Mathematics"
} |
*2 + 2*c + 42
What is the d'th term of -104424, -104421, -104418, -104415, -104412, -104409?
3*d - 104427
What is the a'th term of -4038, -4016, -3944, -3798, -3554, -3188, -2676?
4*a**3 + a**2 - 9*a - 4034
What is the r'th term of -157, -271, -401, -553, -733, -947, -1201?
-r**3 - 2*r**2 - 101*r - 53
What is the k'th ... | {
"pile_set_name": "DM Mathematics"
} |
4*a(d).
4*d + 1
Let m(y) = -2*y + 0*y - 2*y + 1 + 5*y. Let j(v) = -v**3 + 2*v**2 - 5*v - 5. Suppose 134 = -58*r - 156. What is r*m(p) - j(p)?
p**3 - 2*p**2
Let c(r) = 3*r + 4. Let p(i) = -222 + 105 + 8*i - 12*i + 101 - 9*i. What is 9*c(o) + 2*p(o)?
o + 4
Let x(c) = -587*c - 7. Let h(z) = -51*z - 1. Calculate -2*h(f) + ... | {
"pile_set_name": "DM Mathematics"
} |
11*p
Collect the terms in 2*u**2 + 0*u**2 + 2*u**2.
4*u**2
Collect the terms in 42*j - 34 + 34.
42*j
Collect the terms in 5*x**3 + 4*x**3 - 21*x**3 - 5*x**3.
-17*x**3
Collect the terms in -418 + 589*r**2 + 418.
589*r**2
Collect the terms in z**2 + 68 - 68.
z**2
Collect the terms in -8*g**2 + 47*g**2 + 57*g**2.
96*g**2
... | {
"pile_set_name": "DM Mathematics"
} |
descending order.
t, 1/2, k, v
Let o = 2819 - 2823. Put -1, -6, 3, -2, o in descending order.
3, -1, -2, o, -6
Let x = -263 + 219.5. Let u = x + 43. Sort -1.7, u, 1/3.
-1.7, u, 1/3
Let i(r) = 2*r**2 + 56*r + 79. Let n be i(-27). Sort 2/25, n, -1 in descending order.
n, 2/25, -1
Let m be (21/6)/(441/630). Sort -3/5, 2,... | {
"pile_set_name": "DM Mathematics"
} |
12*v**2 - 16*v.
(v - 2)**4/2
Let c(g) be the first derivative of -g**3/2 - 549*g**2/2 - 100467*g/2 + 1342. Solve c(z) = 0 for z.
-183
Suppose 2*x = 1 + 3. Suppose 11*n = 10*n + 4. Factor 6 + 2*r**x - n*r + r**2 - 7*r**2 - 2 + 4*r**3.
4*(r - 1)**2*(r + 1)
Let x(q) = 10*q**2 - 951*q + 479. Let p(d) = -30*d**2 + 2855*d -... | {
"pile_set_name": "DM Mathematics"
} |
0 a factor of 1217?
False
Is 16728 a multiple of 102?
True
Is 2 a factor of 758?
True
Is 11 a factor of 28188?
False
Is 3248 a multiple of 23?
False
Does 52 divide 40924?
True
Is 9176 a multiple of 3?
False
Does 72 divide 13769?
False
Does 5 divide 529?
False
Does 79 divide 1327?
False
Is 33263 a multiple of 29?
True
D... | {
"pile_set_name": "DM Mathematics"
} |
w many minutes are there between 12:57 PM and 9:47 PM?
530
What is 408 minutes after 10:35 AM?
5:23 PM
What is 646 minutes after 4:52 PM?
3:38 AM
How many minutes are there between 11:02 AM and 5:01 PM?
359
What is 313 minutes before 9:49 PM?
4:36 PM
How many minutes are there between 5:23 PM and 10:09 PM?
286
What is ... | {
"pile_set_name": "DM Mathematics"
} |
256564*y**3 - 8229161954*y**2 + 65820981072*y - 131633752608.
-2*(y - 64137)**2*(y - 4)**2
Determine r so that -324*r**4 - 8604*r**3 - 12328*r**2 + 6768*r - 800 = 0.
-25, -2, 2/9
Determine t, given that -3*t**2 + 1338*t + 111888 = 0.
-72, 518
Let -2*c**5/5 - 6004*c**4/15 - 202126*c**3/15 - 386496*c**2/5 - 715176*c/5 - ... | {
"pile_set_name": "DM Mathematics"
} |
r when 376639 is divided by 75323?
24
Calculate the remainder when 41030 is divided by 47.
46
Calculate the remainder when 6363 is divided by 584.
523
What is the remainder when 24915 is divided by 921?
48
Calculate the remainder when 190431 is divided by 22.
21
Calculate the remainder when 148375 is divided by 761.
74... | {
"pile_set_name": "DM Mathematics"
} |
- 2)**2*(x - 1)
Let u(s) = s**2 - s + 1. Let v(b) be the third derivative of b**5/5 - 7*b**4/8 + 4*b**3 - 4*b**2. Let i(k) = -15*u(k) + v(k). Factor i(z).
-3*(z - 1)*(z + 3)
Let l(u) be the third derivative of -1/12*u**3 - 1/20*u**5 + 0*u - 1/12*u**4 + 0 - 3*u**2 - 1/420*u**7 - 1/60*u**6. Determine g so that l(g) = 0.... | {
"pile_set_name": "DM Mathematics"
} |
194149
List the prime factors of 3488441.
11, 307, 1033
List the prime factors of 833585.
5, 293, 569
List the prime factors of 48620.
2, 5, 11, 13, 17
What are the prime factors of 23185565?
5, 13, 356701
List the prime factors of 27694668.
2, 3, 23, 100343
List the prime factors of 2118515.
5, 7, 8647
What are the pr... | {
"pile_set_name": "DM Mathematics"
} |
)*y*g/24. Solve -p + 1 = -s, -s = -9*p + 4*p - i for s.
-3
Let v(q) = q + 2. Let h be v(-4). Let o(x) = -2*x. Let a be o(h). Suppose -94*j + 282 = -0*j. Solve 0 = t + j*t + a*z - 24, 4*t - 2*z = 0 for t.
2
Suppose -5*l - 2*r + 99 = 0, -4*r - 29 = -3*l + 20. Solve -98*o + 3*k = -103*o + 5, 3*k - l = 2*o for o.
-2
Let u(... | {
"pile_set_name": "DM Mathematics"
} |
the third smallest value in -2, 4, f?
4
Let z = 31 - 28.6. Let m = -2.2 + z. Which is the biggest value? (a) -3/5 (b) m (c) 0.4
c
Let d be ((0 + -1)*7)/2. Which is the biggest value? (a) -2/5 (b) d (c) -3
a
Let s = -13 + 9. Let d be 0*(0 - (-2)/(-4)). Suppose -5*o + 3*v - 11 = 0, -3*o + v - 5 = -d. What is the bi... | {
"pile_set_name": "DM Mathematics"
} |
False
Suppose 2*n - 3*n = 3, 0 = -4*q - 2*n + 74. Suppose -y - q = -5*c, 3*c = -3*y - 0*y + 30. Suppose -w + 0*w + 8 = -s, 3*w - y*s = 14. Does 13 divide w?
True
Suppose -2*g - 15 = -4*c + 3, c + 18 = -4*g. Let j(k) = 8 + k**2 + 0*k - 2 + 2*k. Is j(g) a multiple of 10?
False
Let a(v) = v**3 - v**2 + 3. Let k be 0 + 1 -... | {
"pile_set_name": "DM Mathematics"
} |
+ 0*u**2.
-2*u*(u - 1)*(u + 1)/7
Let k(g) be the third derivative of -5*g**7/42 - 17*g**6/8 - 39*g**5/10 + 79*g**4/6 - 12*g**3 + 95*g**2. Factor k(z).
-(z + 2)*(z + 9)*(5*z - 2)**2
Suppose 3*l + 0*p - 4*p - 134 = 0, -2*p + 122 = 3*l. Factor 76*c - 432 - 219*c**2 - 580*c + 41*c**4 - 44*c**4 - l*c**3.
-3*(c + 3)**2*(c +... | {
"pile_set_name": "DM Mathematics"
} |
*3 - f**2 + 3. Let r = -6 + 6. Let q be t(r). Solve -q*u + 6*u = -6 for u.
-2
Suppose -6*y = 3*y - 63. Solve -y = -2*s + 1 for s.
4
Let o(j) = j**2 - 7*j - 12. Let u be o(9). Let c be 8 - u/15*5. Solve 2 = i + c for i.
-4
Suppose 2*i + i - 6 = 0. Let m = -2 + i. Suppose 0 = 5*z - 14 - 1. Solve -d + z*d - 10 = m for d.
... | {
"pile_set_name": "DM Mathematics"
} |
19 - 2/7).
408
Suppose -8 = -2*o - 4*m + 44, -3*m + 47 = 2*o. Suppose 2*h - 10 = 14. What is the smallest common multiple of 5*(-7)/((-70)/h) and o?
48
Suppose -2*l + 4*l - 32 = 0. What is the lowest common multiple of l and 18?
144
Find the common denominator of 3*(-3)/(-12) - (-392)/(-144) and 77/36.
36
Suppose -2*l ... | {
"pile_set_name": "DM Mathematics"
} |
) r
a
Let n = 58 + -349/6. Which is the second smallest value? (a) -1 (b) 8 (c) n
c
Let v be 3 - 2*(-28)/(-24). What is the third biggest value in 4, v, -3/7, -3/5?
-3/7
Let w = -3.2 + -10. Let i = w - -13. Which is the second biggest value? (a) i (b) -2/5 (c) -4
b
Let s = 21 + 3. Let o be 7/(-15) - s/(-36). Whic... | {
"pile_set_name": "DM Mathematics"
} |
5)/(1/(-6)). Solve 0 = -4*q - p + 15, 3*p = -z*q + q + 5 for q.
5
Let h = -16841 - -16848. Solve -4*b + 2 + 3 = h*n, -3*b + 3 = 5*n for b.
-4
Let v(r) = 3*r**2 + 8*r - 6. Let f be v(-4). Suppose -7*m + 11 = -f. Solve -m*w + 5*h = 0, -3*w = w - 4*h for w.
0
Let n(v) = -16*v + 48. Let u be n(3). Solve -2*m + u = c - 13, ... | {
"pile_set_name": "DM Mathematics"
} |
- sqrt(6)) + sqrt(6) + (sqrt(24) - sqrt(96))).
2*sqrt(2)/5
Simplify (-4 + 3*(-1 + sqrt(448) + sqrt(448)))**2 - (-3 + (sqrt(700) - -2*sqrt(700))**2 + sqrt(700))*2.
-692*sqrt(7) + 3583
Simplify (-3*sqrt(128))**2 - sqrt(128)*3 - (4 + (1*(sqrt(288) + 0))**2).
-24*sqrt(2) + 860
Simplify -2 + 6*((sqrt(108) - (sqrt(108) + ((... | {
"pile_set_name": "DM Mathematics"
} |
t m = t + -23/49. Which is the second smallest value? (a) -1/5 (b) m (c) 1/5
a
Suppose -3*n - 5*l + 16 = -7, 3*l - 16 = -4*n. Which is the second smallest value? (a) 2 (b) 3 (c) n
a
Let b = -2.9 - 1.1. Let h be ((-28)/(-18) - 2)*-6. Let i = h + -17/12. What is the biggest value in -3/4, i, b?
i
Let j = -7 + 5. Le... | {
"pile_set_name": "DM Mathematics"
} |
Suppose 0 = h + 4*x - 16, 21*x = 5*h + 22*x - 99. Solve 4*a - 3*i - h = -2*i, a - 5 = 4*i for a.
5
Suppose 4*q - 6 - 6 = 0. Suppose 18 = 4*u + 3*h, -2*h - 40 = -5*u + 3*h. Suppose 3*n + u = b + q*b, -3 = -b. Solve 26 = -2*x - 4*k, 3*k + 23 - 2 = -n*x for x.
-3
Let q(y) = y - 17. Let r(c) = c + 4. Let a be r(18). Let w ... | {
"pile_set_name": "DM Mathematics"
} |
t y = 4 + t. Sort r, -0.4, y in descending order.
r, -0.4, y
Suppose -i - 6*x = -4*x + 3, -3*x - 2 = 4*i. Let j(p) = p**2 + 6*p - 4. Let o be j(-6). Let c be 2/(-12)*o + (-12)/21. Sort i, c, -0.2 in ascending order.
-0.2, c, i
Suppose -6 - 46 = 13*w. Put -1, 4, w, 1 in descending order.
4, 1, -1, w
Let i = 15.77 - 12.7... | {
"pile_set_name": "DM Mathematics"
} |
7.
3, 13, 2833
List the prime factors of 26634.
2, 3, 23, 193
List the prime factors of 82140.
2, 3, 5, 37
What are the prime factors of 1819?
17, 107
List the prime factors of 132.
2, 3, 11
What are the prime factors of 1048?
2, 131
List the prime factors of 63656.
2, 73, 109
What are the prime factors of 11015?
5, 22... | {
"pile_set_name": "DM Mathematics"
} |
- 4*z + 15. Suppose -3*c + 5 = k, -5*c + k + 23 = -k. Solve 15 = -j*m + c*m for m.
5
Suppose 0 = -0*b + b - 2. Suppose -4*p - 6 - 6 = 4*g, -13 = -4*g + p. Solve b*i - i = g for i.
2
Let c(b) = -b - 4. Let z be c(-7). Solve -z*n - 4 = n for n.
-1
Suppose 4*c = 34 - 14. Suppose m = c*m. Solve n = -m*n - 1 for n.
-1
Let i... | {
"pile_set_name": "DM Mathematics"
} |
-193 - 65 + 33 = -45*u. Solve -24 = -u*f - 4 for f.
4
Let k(h) = 103*h + 1403. Let g be k(-12). Solve -16 = 171*j - g*j for j.
-4
Let w = 3783 + -3644. Solve -146*o + w*o = 35 for o.
-5
Let z(n) = 3*n**2 + 131*n - 387. Let r be z(3). Solve r - 3 = -10*k for k.
-3
Let s be 54/4*(-638)/(-33). Let u = 266 - s. Solve 12 = ... | {
"pile_set_name": "DM Mathematics"
} |
2*d**3 + 7 - 2*d**3 - 7*d - d**3 in the form h*d**2 + b*d + f + m*d**3 and give b.
-7
Express -2 + 3 + 2*h**3 + 0*h**3 + (4*h + 0*h - 3*h)*(-h**2 - h + h) + 2*h**3 - 1 + 1 in the form w*h + l + u*h**3 + s*h**2 and give w.
0
Rearrange (-2*p**2 - 2*p**2 + 2*p**2)*(1 - 7 + 1)*(-2*p - 4*p - p) to a*p**2 + o*p + v*p**3 + d... | {
"pile_set_name": "DM Mathematics"
} |
= -d**3 - 6*d**2 + 7*d + 1. Let f be 24/(-16)*2*1. Let x = -4 + f. Let r be i(x). Solve o = -g + r, g + 5*o = 2*g + 23 for g.
-3
Let b(c) = -c**3 - 10*c**2 - 3*c - 25. Let u be b(-10). Solve 4*s - g + 5*g = -12, -3*s - 7 = u*g for s.
-4
Let f be (-72)/30*(-140)/42. Solve -2*j + f = 2*n, 3*n = -0*n - j + 2 for n.
-1
Le... | {
"pile_set_name": "DM Mathematics"
} |
wrt c?
60*c**2 - 258
What is the first derivative of 15509 - 4483*z - 5363 + 283*z + 45*z - 6437 wrt z?
-4155
Let u be 1/(-4) - (-9)/4. Let j(n) = -13*n + 3. Let g(o) = 15 + 16 - 34 + 12*o. Let c(w) = u*j(w) + 3*g(w). Find the first derivative of c(i) wrt i.
10
Find the third derivative of -397*g**4 - 362*g**5 + 856*g... | {
"pile_set_name": "DM Mathematics"
} |
o four decimal places.
0.0007
Let l = 0.058315 + 27119.941685. Let m = 27155.958 - l. Let n = m + -36. Round n to 2 decimal places.
-0.04
Suppose 3 = j - 0. Suppose w + 2*t = 730010, -2*w - j*t - 3649985 = -7*w. Round w to the nearest one hundred thousand.
700000
Let l = -17 + 8. Let f = l - -9.000029. What is f rounde... | {
"pile_set_name": "DM Mathematics"
} |
se -4*k - 12 = 0, 0 = 4*i - 9*i - 4*k + 2593. Let h = 4163/8 - i. Which is smaller: s or h?
s
Suppose -p = -4*p + k + 114, k = 0. Let r = -184/5 + p. Is 0 <= r?
True
Let b be -6*(-2 - (-5)/2). Suppose 0 = 2*j + 5*j + 2*j. Let s be j/((0 - b) + -6). Is 0 smaller than s?
False
Let w = -1 - -3. Suppose -m + 6 = w*m. Let y... | {
"pile_set_name": "DM Mathematics"
} |
culate the remainder when 2/6 - 154/(-6) is divided by n.
6
Suppose -3*f = -2*y + 1054, -7*y + 5*y + 1040 = 4*f. What is the remainder when y is divided by 66?
62
Let r = -2895 + 2942. Calculate the remainder when 67 is divided by r.
20
Let i(f) = f**3 + 19*f**2 - 3*f - 28. Let g(t) = -20*t - 4. Let v be g(-3). What is... | {
"pile_set_name": "DM Mathematics"
} |
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