text stringlengths 270 8.19k | meta dict |
|---|---|
*x**5 + s*x - 8*x**5 wrt x?
-20*x**3
Let t(a) = 10*a**4 - 5*a**2 - 3. Let i(h) = h**4 - h**2. Suppose -n + 3*n = 10. Let d(w) = n*i(w) - t(w). Differentiate d(f) with respect to f.
-20*f**3
Let r = 5 + -9. Let w = -2 - r. What is the third derivative of 3*l**2 - 3*l**2 - 2*l**5 - l**w wrt l?
-120*l**2
Let p(y) be the f... | {
"pile_set_name": "DM Mathematics"
} |
Let j(i) = i**2 + 3. Let k be (-2)/6 + (-32)/(-6). Suppose v + 2*z - k = 0, -5*v - z - 2*z - 3 = 0. What is the tens digit of j(v)?
1
Let m = -4 - -4. Let t = 1 - m. Let s = t + 8. What is the units digit of s?
9
Let l = 11 + -7. Suppose 0 = -2*s + 3*q - 6*q + 16, 2*s - 20 = -l*q. Suppose 11 = 5*c + h, s*h - 3 = -1. W... | {
"pile_set_name": "DM Mathematics"
} |
**2 - 11*u - 3. Calculate -2*l(o) - 5*t(o).
o**2 + 11*o - 1
Let s(j) = 0*j - 11*j - 3 + 6*j**2 + 14. Let u(q) = 2*q**2 + 4*q + 2*q - 8*q**2 - 6 + 3*q**2. Determine -6*s(k) - 11*u(k).
-3*k**2
Let h(k) = 6*k**2 + 1. Let d(p) = 35*p**2 - 14*p + 9. Give -d(q) + 4*h(q).
-11*q**2 + 14*q - 5
Let p(a) = 4*a**3 + a**2 - 6*a + 3... | {
"pile_set_name": "DM Mathematics"
} |
0.069
Round 40232.71 to the nearest 100.
40200
Round -0.04895272 to 3 dps.
-0.049
Round -0.0212564 to two dps.
-0.02
What is 79.26692 rounded to one decimal place?
79.3
Round 0.0021741613 to six dps.
0.002174
What is -110123 rounded to the nearest one hundred?
-110100
What is -0.0000339329 rounded to five decimal place... | {
"pile_set_name": "DM Mathematics"
} |
0, a = 3*a + v*x + 22 for a.
-5
Suppose 0 = -4*q + 20. Suppose 0 = q*l - 7*l + 16. Solve 0*m = 5*v - m - l, 0 = 3*v + 3*m + 6 for v.
1
Suppose 0 = 3*z - 4*p + 13, -4 + 14 = -2*z + 3*p. Let s(u) = -u**3 - u - 5. Let j be s(-3). Solve -j + 6 = -3*r + 5*l, -r + z = l for r.
3
Let i = 4 + -1. Suppose -2*b + 6 = -0*b. Suppo... | {
"pile_set_name": "DM Mathematics"
} |
-10449545 and -23610.
-10473155
What is -69088538389 take away -1.1?
-69088538387.9
1.47 + 18446786513
18446786514.47
What is 0.00179 take away 10.816109?
-10.814319
Put together 801692.4 and -210.
801482.4
Calculate -25555784 + -125773.
-25681557
Add together 449.57160532012 and -4.
445.57160532012
Calculate 271957 +... | {
"pile_set_name": "DM Mathematics"
} |
6))/(1/(-3)). Let k be c/(-9) + 2/9. Sort k, -5, i.
-5, k, i
Let c be 14/(-18)*(-2)/7. Let s = 27 - 85. Let p = s + 58. Put c, p, 2 in increasing order.
p, c, 2
Let q(x) = 2*x + 2. Let z be q(1). Suppose 4*y + 2 = -2*w, -3*y + 10 = -z*w - 5*y. Let g be w*-1*(-1)/3. Put g, -5, -2 in increasing order.
-5, -2, g
Let f = 2... | {
"pile_set_name": "DM Mathematics"
} |
ext: 441, 444, 447, 450, 453, 456?
459
What comes next: -362, -360, -358, -356, -354?
-352
What comes next: -182, -187, -194, -203, -214, -227, -242?
-259
What is next in 62, 65, 68, 71, 74, 77?
80
What comes next: -5, -3, -1?
1
What comes next: 29, 42, 55, 62, 57, 34, -13, -90?
-203
What is the next term in -343, -685... | {
"pile_set_name": "DM Mathematics"
} |
pose -4 = h*t - 16. What is the remainder when 76 is divided by (t - 152/28)*-14?
16
Let o = 72 + -68. Suppose 15 = o*r + z, 6*r + 24 = 11*r - 4*z. Calculate the remainder when 21 is divided by r.
1
Suppose 45*y - 2908 = 41*y. What is the remainder when y is divided by 26?
25
Let b be (-18)/81 + (-76)/(-18). Suppose -b... | {
"pile_set_name": "DM Mathematics"
} |
= 3*z. What is the lowest common multiple of 18 and (z - (-3 - -1)) + f?
180
Let g = 7727 + -7483. What is the least common multiple of 3 and g?
732
Suppose 0 = -s + 2*g + 1500, 22*g - 24*g + 12 = 0. What is the lowest common multiple of s and 396?
16632
Let q be (-10)/(3 - -7) + -1655. Let w = q - -84452/51. Let f = -... | {
"pile_set_name": "DM Mathematics"
} |
, -5*o - 15 = 0. Let a = z + -13. Suppose a = y + 20. Calculate the remainder when 11 is divided by y.
5
Suppose -37*d + 39*d - 4 = 0. Suppose 4*c - 215 = 5*v, 0*v - 114 = -d*c - 4*v. Calculate the remainder when c is divided by 14.
13
Calculate the remainder when 169 is divided by (-1)/3*(-3 - 39) - -5.
17
Suppose -3*... | {
"pile_set_name": "DM Mathematics"
} |
- 5*u**2 + 9*u - 7. Determine -18*i(c) - 2*p(c).
-2*c**2 + 2*c
Let w(a) = 2*a**2 - 3*a - 2. Let g(r) = 7*r**2 - 11*r - 8. Give -6*g(o) + 22*w(o).
2*o**2 + 4
Let t(c) = -18*c**3 + 4*c + 4. Let a(n) = -36*n**3 + 9*n + 9. Give -4*a(g) + 9*t(g).
-18*g**3
Let c(j) = -j**3 + 6*j**2 + 6*j - 6. Let r(z) = -z**3 + 7*z**2 + 7*z ... | {
"pile_set_name": "DM Mathematics"
} |
Let h(n) = 671*n. Give s(h(x)).
-2684*x + 14
Let y(q) = 5*q - 5*q - 3*q + q. Suppose 2 = a - 2. Let s(l) = -4*l + l + 6*l - a*l. Calculate s(y(x)).
2*x
Let f(h) = 12*h. Let z(u) = 3243*u. Give z(f(b)).
38916*b
Let c = -4 + 7. Let t(r) = -7*r + 10*r + c*r. Let x(j) be the first derivative of j**3 - 6. What is t(x(u))?
... | {
"pile_set_name": "DM Mathematics"
} |
+ 3)).
-7*r**5 - 14*r**4
Expand -2 + 2 + 2 + 2*z + (40*z + 55*z - 65*z)*(4 + 2 - 4).
62*z + 2
Expand (-2*x**2 - 3*x + 3*x)*(4*x - x - x) - 5*x**3 + 11*x**3 + 2*x**3 - 4*x**3 + 4*x**3 - 3*x**3 + 221*x**2 - 2*x**3 - 221*x**2.
-x**3
Expand 2*v - v**2 - 2*v + (v - v + 2*v)*(-70*v + 19*v - 5*v).
-113*v**2
Expand (-1 + n**5 ... | {
"pile_set_name": "DM Mathematics"
} |
Suppose 3*b = -3*l - 2*b + 16, -5*l - 3*b = -g. What is the closest to -1 in l, k, 0.1?
0.1
Let l be 2 - 4/(-2)*4/8. Let o = 0.1 - 0. What is the nearest to 0 in 2/5, l, o?
o
Let f = 59 + -57. What is the closest to -3/5 in 3, -3, f?
-3
Let t = 2.32 - 2.82. Let z be 2/(-2)*(-8)/(-2). Let i = -1 - 4. What is the closest... | {
"pile_set_name": "DM Mathematics"
} |
igit of j(t)?
5
Suppose -2*n = 5*s + 9, 6*n + 5*s = 3*n - 6. Suppose n*f = 4*k + 60, f + 3*f = -4*k + 80. What is the units digit of (-66)/(-8) - 5/f?
8
Let d = 491 - 199. What is the units digit of d?
2
Suppose 0 = 4*f - 8*f + 448. Let d = f + -9. What is the tens digit of d?
0
Let c = -9 - -6. Let l(t) = t**2 + 3*t. ... | {
"pile_set_name": "DM Mathematics"
} |
3 e?
4/91
What is prob of picking 1 z and 1 l when two letters picked without replacement from vvvvvevzvlvevlvv?
1/60
What is prob of picking 2 f when two letters picked without replacement from {f: 3, s: 7}?
1/15
Three letters picked without replacement from hccttttvtttcttctttct. Give prob of picking 3 t.
143/570
Calc... | {
"pile_set_name": "DM Mathematics"
} |
(j) = j**3 - 16*j**2 - 15*j - 31. Let b be r(k). Does 43 divide (b - (-2295)/25)/(4/10)?
False
Suppose 7*g + 16 = 3*g, -5*g = a - 6240. Is 10 a factor of a?
True
Let k(r) = -13*r**3 - 11*r**2 - 71*r + 4. Is k(-7) a multiple of 88?
False
Let h = -4601 + 5401. Is h a multiple of 8?
True
Suppose 18 - 8 = 2*n. Suppose -3*b... | {
"pile_set_name": "DM Mathematics"
} |
-1)/(-3) + (-1)/3. Let w = -3 - r. Let v = -1 - w. Solve -i = v*s + 1, 0 = -0*i + 5*i + 4*s + 17 for i.
-5
Let c(m) be the second derivative of -m**3/6 + 3*m. Let t be c(-6). Let f = -6 + 10. Solve -3*d = f*x - 16, 0*x - d + t = 2*x for x.
1
Let m = -10 - -15. Solve -5*p = -0*p - 20, 0 = -m*h - 3*p - 8 for h.
-4
Suppos... | {
"pile_set_name": "DM Mathematics"
} |
2/3 (b) -1 (c) -59 (d) -0.3 (e) s
a
Let o be 4/(-6)*2/4. Let g = 165 + -165.039. Let k = g + 1.039. What is the second smallest value in k, 2/5, o, 0.2?
0.2
Let q = 2 + -2.1. Let l = -30296 - -30293. Which is the smallest value? (a) 0.3 (b) l (c) 3 (d) q
b
Let o = -15658 - -12880. Which is the biggest value? ... | {
"pile_set_name": "DM Mathematics"
} |
Let s(p) be the second derivative of j(p). Let h(v) = -2*v. Determine s(h(b)).
-8*b**2
Let a(x) = -79*x**2 + 4. Let v(g) = g. Determine a(v(c)).
-79*c**2 + 4
Let r(f) = -66*f**2 + 10. Let d(l) = -8*l**2. Calculate d(r(s)).
-34848*s**4 + 10560*s**2 - 800
Let k(n) be the third derivative of n**6/180 + n**3/2 + n**2. Let... | {
"pile_set_name": "DM Mathematics"
} |
uppose -f*q - 2*q - 8 = l. Put q, 3, -1 in decreasing order.
3, -1, q
Let u be (6/5)/(3/((-30)/2)). Sort 0, u, -4 in increasing order.
u, -4, 0
Let b = -0.3 - -0.2. Let q = 26 - 128/5. Sort q, b, -1 in increasing order.
-1, b, q
Let i = 31.2 - 31. Put 5, i, 0, -3 in increasing order.
-3, 0, i, 5
Let h = -30818793/13029... | {
"pile_set_name": "DM Mathematics"
} |
7, -2*r - 5*z = -295. Calculate the highest common divisor of 30 and r.
30
Suppose -5*b + 255 = -425. Calculate the highest common divisor of b and 17.
17
Suppose -22 = -4*m + 14. Let i = -4 + 6. Let x be (-3)/6*(i + -20). What is the highest common divisor of x and m?
9
Suppose -5*b + 0 = -10. What is the greatest com... | {
"pile_set_name": "DM Mathematics"
} |
.
136
Let w(f) = f**3 - f**2 + 64*f - 62. Calculate w(1).
2
Let h(a) = a**3 + 74*a**2 + 85*a + 693. Calculate h(-73).
-183
Let z(d) = 57*d + 114. Determine z(-3).
-57
Let g(o) = -7*o**2 - 200*o + 77. Determine g(-29).
-10
Let x(l) = l**2 - 25*l + 55. What is x(25)?
55
Let f(d) = -2*d - 172. Determine f(18).
-208
Let d(... | {
"pile_set_name": "DM Mathematics"
} |
41. Is z a composite number?
True
Suppose -5*t - 5*c = -11640, 2*c + 11668 = 5*t - 0*c. Suppose 0 = 3*i - 1787 - t. Is i a composite number?
False
Is -833473*14/84*-6 a composite number?
True
Let d = 340 + -340. Is 4*3246/(-72)*(-51 + d) prime?
False
Let u(h) be the third derivative of -7*h**4/12 + 47*h**3/6 - 21*h**2.... | {
"pile_set_name": "DM Mathematics"
} |
nearest 1000000.
10000000
Let v = -29.071 - -31.23. Let l = 2.2 - v. Round l to two dps.
0.04
Let y = 7 + -4. Let s be y + 1 + 51*-2. What is s rounded to the nearest 10?
-100
Let z = -160.00000712 - -160. What is z rounded to 6 decimal places?
-0.000007
Let c(a) = -2*a**2 + 3*a. Let h be c(3). Let d = h - -9. Round d... | {
"pile_set_name": "DM Mathematics"
} |
the ten thousands digit of 1681995?
8
What is the ten millions digit of 18053510?
1
What is the units digit of 132539?
9
What is the thousands digit of 4870912?
0
What is the thousands digit of 5340655?
0
What is the thousands digit of 1208840?
8
What is the units digit of 7937097?
7
What is the thousands digit of 279... | {
"pile_set_name": "DM Mathematics"
} |
*x - 0 + 1. Let s be 1 - (a - (8 - 2)). Solve -n = s*n + 5 for n.
-1
Suppose 6*u = 1 + 53. Suppose 0 = u*j - 6*j. Solve -2*k + 7 + 1 = j for k.
4
Let d(b) = b**3 - 9*b**2 + 4*b - 10. Let n = 18 - 9. Let l be d(n). Let t be (-4)/l + (-216)/(-52). Solve -k + t = -1 for k.
5
Let r(o) = o**2 + 2*o - 26. Let a be r(-8). Sup... | {
"pile_set_name": "DM Mathematics"
} |
28 + 241 - 2*q - 562)*(5*q - 2*q - 110 + 107)*(3*q - 6*q + 2*q) to h*q**3 + j*q + b + o*q**2 and give j.
1821
Express (67 + 127 - 87)*(-7*w**2 + 8 - 8) + 16*w**2 + 17*w**2 - 40*w**2 as c*w + b + z*w**2 and give z.
-756
Rearrange 107*d + 132*d - 1 + 36*d + 130*d - 59*d - 8*d**2 to g*d + m*d**2 + q and give q.
-1
Express... | {
"pile_set_name": "DM Mathematics"
} |
565.
57
Calculate the highest common factor of 37257 and 25629.
3
Calculate the highest common divisor of 25700896 and 1248.
416
Calculate the greatest common divisor of 640 and 47016520.
40
Calculate the highest common divisor of 18791 and 1037461.
989
What is the greatest common divisor of 3470 and 21952955?
1735
Wha... | {
"pile_set_name": "DM Mathematics"
} |
ommon denominator of -2/35 and -169/6083406?
30417030
Calculate the common denominator of 181/708630 and 91/5934.
30471090
What is the common denominator of 43/102846 and 27/244?
205692
What is the least common multiple of 280104 and 14608?
46497264
Find the common denominator of -17/42 and -18/962989.
40445538
What is... | {
"pile_set_name": "DM Mathematics"
} |
)*(-l + 19*l - 3*l + (4 - 2 - 3)*(-2*l + 4*l + 0*l)) as q + t*l**2 + i*l and give q.
0
Express (1 - 3 + 1)*(27*y - 66*y - 149*y)*(-251 + 106*y**3 + 251) as h + p*y**3 + a*y + k*y**4 + s*y**2 and give k.
19928
Express -158*m - 6*m**2 - 142*m + 32*m - 2 + 22*m + 1 in the form o*m + g + a*m**2 and give g.
-1
Rearrange 659... | {
"pile_set_name": "DM Mathematics"
} |
c(v) + 6*i(v)?
v
Let k(c) be the first derivative of -c**2/2 - 2*c + 2. Let t(a) = 2*a + 3. Determine 7*k(b) + 4*t(b).
b - 2
Let h(k) = -17*k + 9. Let b(g) = 6*g - 3. Suppose 5*z - 7*z + 8 = 0. Let y(m) = z*h(m) + 11*b(m). Let q(j) = 2*j - 2. What is -5*q(a) - 4*y(a)?
-2*a - 2
Let k(n) = -2*n**3 - 4*n**2 + 4*n. Let h(y... | {
"pile_set_name": "DM Mathematics"
} |
. Is -33 at most n?
True
Let u be -4 - (-3)/((-6)/(-16)). Suppose -u*z - 8 = 0, -7*m + 2*m = -3*z - 106. Which is smaller: m or 21?
m
Let x = -6 + 4. Let i be (21/6)/((-1)/x). Suppose -3*z = 2*g - 13, 3*g - i*g - 5*z = -29. Is g <= 11?
True
Suppose 46*p - 40*p - 1200 = 0. Is 201 >= p?
True
Suppose -3*b = 2*z + 8, 0*z =... | {
"pile_set_name": "DM Mathematics"
} |
*x = 4641. What is the highest common factor of 13 and x?
13
Let i(q) = 8*q**3 - 4*q**2 + 3*q. Let l be i(2). What is the highest common divisor of l and 378?
54
Let f = 147 - 105. Let h(o) = o**2 - 59*o + 226. Let w be h(4). Calculate the greatest common divisor of f and w.
6
Let n be 2/6 - (0 - (-1673)/(-3)). Calcula... | {
"pile_set_name": "DM Mathematics"
} |
ivided by 20.
14
Calculate the remainder when 13 is divided by 3.
1
What is the remainder when 633 is divided by 219?
195
What is the remainder when 292 is divided by 74?
70
What is the remainder when 77 is divided by 4?
1
Calculate the remainder when 1257 is divided by 17.
16
What is the remainder when 1078 is divided... | {
"pile_set_name": "DM Mathematics"
} |
((-6)/24)
-5
What is the value of (-9)/(-42)*12/(-9)?
-2/7
(((-21)/(-6))/7)/(21/(-126))
-3
(36/24)/((-3)/8)
-4
What is the value of (8/14)/((-176)/(-88))?
2/7
Evaluate 0*(-3)/(-12)*-2.
0
What is (-78)/13*(-7)/14?
3
What is 16/24*6/3*-3?
-4
Evaluate ((27/(-6))/3)/(12/(-8)).
1
((-8)/(-18))/((-20)/30)
-2/3
What is the val... | {
"pile_set_name": "DM Mathematics"
} |
t is the value of 0/(3*(-4)/(-12)*-2)?
0
What is the value of 20/(-15)*3 - (-2 + 7)?
-9
What is 26/14 + ((-8)/28)/(-2)?
2
Calculate 3*8/(-6)*-1.
4
What is (-1)/1 - (-3 + -3) - 11?
-6
(2 + 7/(-3))*(-6 + 9)
-1
Evaluate 6*(-18)/297 - (-74)/22.
3
Calculate 5*(-3)/(-90) - 34/24.
-5/4
What is 42/(25/(125/30))?
7
Evaluate (-4... | {
"pile_set_name": "DM Mathematics"
} |
is the hundreds digit of 63376?
3
What is the units digit of 115346?
6
What is the ten thousands digit of 46756?
4
What is the units digit of 4021?
1
What is the tens digit of 58932?
3
What is the units digit of 6349?
9
What is the units digit of 1455?
5
What is the hundreds digit of 1117?
1
What is the tens digit of 1... | {
"pile_set_name": "DM Mathematics"
} |
t in 127169, 254369, 381569, 508769, 635969, 763169?
890369
What is the next term in 2653, 5216, 7693, 10072, 12341, 14488?
16501
What is the next term in 1504, -3325, -11374, -22643, -37132?
-54841
What is the next term in -3744, -3958, -4332, -4878, -5608, -6534, -7668, -9022?
-10608
What comes next: -640, -1000, -15... | {
"pile_set_name": "DM Mathematics"
} |
-3, 0.02?
-3
What is the closest to 0.1 in 2, 0, 574, 4, 5/4, 3/5?
0
What is the closest to -1 in -0.5, 100, -39, -5?
-0.5
Which is the nearest to 0? (a) -0.2 (b) -147339 (c) -1
a
What is the nearest to -3/13 in -5, -0.3, -2/11, 0.02, -0.1, 17.8?
-2/11
Which is the closest to -30? (a) -5 (b) -0.4 (c) 3 (d) 22202... | {
"pile_set_name": "DM Mathematics"
} |
609, 7202?
10371
What comes next: 491012, 491013, 491014, 491015?
491016
What is the next term in 28276, 28275, 28250, 28195, 28104, 27971, 27790, 27555?
27260
What is the next term in 2076, 8339, 18784, 33405, 52196?
75151
What comes next: -12321, -24980, -37639, -50298?
-62957
What is the next term in -9671, -9683, -... | {
"pile_set_name": "DM Mathematics"
} |
divide 134689357?
False
Is 578984519 a multiple of 44?
False
Is 244301596 a multiple of 308?
True
Is 20022520 a multiple of 1505?
True
Does 1204 divide 141945580?
True
Is 1567 a factor of 47240349?
True
Is 28 a factor of 219551163?
False
Is 1775 a factor of 208161350?
True
Is 26 a factor of 79567204?
False
Does 33 div... | {
"pile_set_name": "DM Mathematics"
} |
3939561 to the nearest integer?
13
What is the tenth root of 5518770 to the nearest integer?
5
What is the ninth root of 942509 to the nearest integer?
5
What is the fifth root of 712869 to the nearest integer?
15
What is the cube root of 186917 to the nearest integer?
57
What is 28634074 to the power of 1/2, to the ne... | {
"pile_set_name": "DM Mathematics"
} |
- 142
What is the o'th term of 78926, 157851, 236776, 315701, 394626, 473551?
78925*o + 1
What is the f'th term of -793, -1572, -2349, -3124, -3897?
f**2 - 782*f - 12
What is the k'th term of -918821, -1837640, -2756459, -3675278, -4594097?
-918819*k - 2
What is the t'th term of -100, -592, -1410, -2548, -4000, -5760, ... | {
"pile_set_name": "DM Mathematics"
} |
g o is positive.
o**(-257419/55)
Simplify ((g/g**(-12)*(g/(g/((g/(g**7*g))/g)))/g)/(g*g**(1/3)*g)**42)**(-3/20) assuming g is positive.
g**(141/10)
Simplify (d/(d*d**(-9/5))*d**(-4/3))/((d/d**(2/25)*d*d)/d**(2/31)) assuming d is positive.
d**(-5554/2325)
Simplify (((b/((b**(3/5)*b*b)/b))**19)**33)**(-2/13) assuming b i... | {
"pile_set_name": "DM Mathematics"
} |
m*u**3 + z*u + x*u**2 and give m.
14
Rearrange ((u - 3*u + 3*u)*(3 + 0 - 1) - 2*u + 2*u + 2*u - 3)*(0*u**3 + u**3 + 0*u**3) to f*u**2 + y*u**4 + m*u**3 + a*u + w and give m.
-3
Rearrange (-3 + 5 - 1)*(4*n - 2*n - 3*n) - 5*n + n + n - 5*n + 8*n - 2*n to m*n + s and give m.
-3
Express (1 - 1 - o**2)*(-3 + 5 + 6)*(-2 + 1... | {
"pile_set_name": "DM Mathematics"
} |
et y = 191 - 58. Let r(l) = 133 - l - y. Give -g(z) + 5*r(z).
-z - 1
Let f(c) = 30*c**3 - 7*c**2. Let z(h) = 30*h**3 - 6*h**2. Calculate 4*f(n) - 5*z(n).
-30*n**3 + 2*n**2
Let w(h) = 6*h + 178. Let d(t) = -t. Give 3*d(b) + w(b).
3*b + 178
Let h(s) = 22*s**3 + 2*s**2 + 3*s - 5. Let r(g) = 21*g**3 + 3*g**2 + 4*g - 7. Det... | {
"pile_set_name": "DM Mathematics"
} |
fferentiate 166*k**4*u + 352*k**3*u - 237077*u wrt k.
664*k**3*u + 1056*k**2*u
Find the second derivative of 130993*k**3*p**2 - 1032*k**3*p + 13*k*p wrt p.
261986*k**3
What is the third derivative of -86061*f**5 - 168832*f**2?
-5163660*f**2
What is the second derivative of -477*p*r**2*v - 2*p*r**2 - 4*p*r*v**2 - 9*p*v ... | {
"pile_set_name": "DM Mathematics"
} |
3/2, -0.03, 27.8?
-0.03
What is the closest to -1/3 in -608, -1/3, 4, 0.5, -2?
-1/3
What is the nearest to -0.1 in 2.69, 3, -26, -2?
-2
What is the nearest to 1 in 174062, 4, 2/7, -0.5?
2/7
Which is the closest to 0? (a) 3.76 (b) -78 (c) 4 (d) 2/13
d
Which is the nearest to -39? (a) 2/7 (b) 1/8 (c) -2/21
c
Whic... | {
"pile_set_name": "DM Mathematics"
} |
z.
-2
Suppose 22 = 2*t - 2*j, 4*t + 17*j = 22*j + 49. Suppose -5*r + 22 = 2. Let y(z) = z**2 - 3*z + 1. Let g be y(r). Solve 3 = -3*s - g*p - t, 0 = 5*p + 15 for s.
2
Let x(b) = -4*b + 2. Suppose -2*a - 8 = 2*d, -3*d + 1 = -5*d + 5*a. Let n be x(d). Let g be n/7 + 5*1. Solve 2*u + 2*k - g = -5, 0 = -3*u - 4*k + 4 for u... | {
"pile_set_name": "DM Mathematics"
} |
when four letters picked without replacement from {j: 3, o: 4, s: 2}?
2/7
What is prob of picking 1 i and 1 l when two letters picked without replacement from {i: 2, l: 11}?
11/39
What is prob of picking 1 c and 1 x when two letters picked without replacement from oaxooacxoc?
4/45
What is prob of picking 1 k and 1 o wh... | {
"pile_set_name": "DM Mathematics"
} |
c**3 + 7*c**2 + 4 + c + w*c**3. Give i(-6).
4
Let o(f) = -2*f**2 - f + 2. Let p be o(0). Let b(l) = 21 + l**p - 36 + 22. Give b(0).
7
Let m be (2 + -2)*(-7 - (-140)/21). Let l(f) = 3*f - 3. Calculate l(m).
-3
Let j(p) = 2*p - 2. Let o be j(2). Suppose 49 = o*n + 5*n. Let w(l) = 3*l**2 + 7*l + 10. Let m(t) = 2*t**2 + 7*... | {
"pile_set_name": "DM Mathematics"
} |
t is 2 times 7?
14
Work out 0 * -1702.
0
0.5 * -207.8
-103.9
-4.9 * 0.018
-0.0882
Product of 6 and 1.7.
10.2
Product of -0.05 and 10.
-0.5
6.581 times 2
13.162
Work out 42 * -138.
-5796
0.01 * -0.38
-0.0038
What is the product of 0.788 and -0.5?
-0.394
0.154*2
0.308
-1 * 2.6
-2.6
Multiply 881 and -10.
-8810
Work out 0.... | {
"pile_set_name": "DM Mathematics"
} |
z?
True
Is 24/(-5)*4495160/(-1308) a multiple of 16?
True
Let q(p) = 2*p**3 - 57*p**2 + 57*p - 11. Let j be q(29). Let f = j - 1295. Does 66 divide f?
True
Let w be 6/8 + (-2 - (-303)/(-4)). Let n be 22/w - (-32)/14. Suppose -348 = -4*i + 2*q - 7*q, n*i + 2*q = 174. Is i a multiple of 9?
False
Let p = 812 - 132. Suppo... | {
"pile_set_name": "DM Mathematics"
} |
2726 for k.
10
Solve -831*q + 6177 + 16428 - 4486 = -5980 for q.
29
Solve 43*q + 1519 = -23*q - 40*q + 247 for q.
-12
Solve 3881*a + 37120 + 10373 + 62551 = -10267 for a.
-31
Solve -15349 = 1219*u + 14685 + 12791 - 8693 for u.
-28
Solve -3687717 + 3687717 = -299*y for y.
0
Solve 16*i = 59292 - 58492 for i.
50
Solve -1... | {
"pile_set_name": "DM Mathematics"
} |
. Let b(l) = -l**2. Calculate b(j(n)).
-121*n**4
Let q(c) be the first derivative of 1/3*c**3 + 0*c**2 + 1 + 0*c. Let z(w) = 6*w + 36 - 36. What is q(z(v))?
36*v**2
Let c(a) = 7*a - 3. Let l(f) = -36*f + 16. Let t(r) = 16*c(r) + 3*l(r). Let d(u) = -14*u - 14*u + 29*u. What is d(t(q))?
4*q
Let z(w) be the second derivat... | {
"pile_set_name": "DM Mathematics"
} |
w = -200/1539 - -2/81. Sort 2/13, w, 1/2 in increasing order.
w, 2/13, 1/2
Suppose 4 = -3*u - 3*z + 196, 8 = -4*z. Let c be (u/77)/((-2)/14). Sort c, 0, 1 in decreasing order.
1, 0, c
Let v be 3*(4 - 1)/3. Let p be (-6)/(-4) + 990/(-484). Sort 2, p, v, 2/5 in decreasing order.
v, 2, 2/5, p
Let c = -0.439 - 1.561. Put ... | {
"pile_set_name": "DM Mathematics"
} |
Which is smaller: -2/2357 or u?
-2/2357
Let r(c) = -18*c + 59. Let b be r(7). Let m = 68 + b. Which is bigger: m or -1/53?
m
Let s be 4 + (3 - -1) + -9. Let w = -1427/1068 - -1/356. Is s >= w?
True
Suppose 10 = 2*h, -2*f + 4*h = -0*h. Suppose -10 = 5*o - f*o. Suppose -5*g = o + 3. Which is smaller: -3 or g?
-3
Let p = ... | {
"pile_set_name": "DM Mathematics"
} |
3*i wrt i.
6
Suppose -2*v = -6*v. Let c(m) be the first derivative of 0*m**2 + 1/3*m**3 - 1 + v*m - 1/2*m**4. What is the third derivative of c(t) wrt t?
-12
Let p(h) be the third derivative of h**6/120 - h**5/20 + h**4/12 - h**3/2 - 2*h**2. Let n be p(3). Differentiate -7*v - n + 7*v + 3*v**2 + 2 with respect to v.
6*... | {
"pile_set_name": "DM Mathematics"
} |
is divided by 16?
14
Suppose 6*t - 458 = -14. Calculate the remainder when 1183 is divided by t.
73
Suppose -6*b - 25 = -11*b. Suppose b*f - 7 = 3*f + 3*d, -3*d + 13 = 2*f. Calculate the remainder when f is divided by (-1)/(-7) + 4 + (-3)/21.
1
Suppose -61*b + 18216 = 75*b + 48*b. Calculate the remainder when b is div... | {
"pile_set_name": "DM Mathematics"
} |
ominator of -61/12 and p?
132
Let c = -1903/2 - -7543/8. Calculate the common denominator of c and -15/14.
56
Let i(n) be the second derivative of n**5/20 - 2*n**4/3 + 13*n**3/6 + n**2/2 - 4*n. Calculate the lowest common multiple of i(6) and 5.
35
Suppose -25 = -5*j - 5*r, j = 6*r - 3*r + 5. Suppose -s = -0*s + 2*a - ... | {
"pile_set_name": "DM Mathematics"
} |
000
What is 7.116124ng in kilograms?
0.000000000007116124
What is twenty-one fifths of a litre in millilitres?
4200
How many years are there in 3/5 of a decade?
6
How many milliseconds are there in 3/25 of a second?
120
What is 17/4 of a decade in months?
510
Convert 998415.2t to nanograms.
998415200000000000000
What i... | {
"pile_set_name": "DM Mathematics"
} |
est one thousand?
-12579000
Round -227.244944 to the nearest integer.
-227
Round 1.387930337 to 4 decimal places.
1.3879
What is -2422708.12 rounded to the nearest ten thousand?
-2420000
Round -5924542 to the nearest one hundred thousand.
-5900000
Round 8664468.24 to the nearest ten thousand.
8660000
Round -0.001023794... | {
"pile_set_name": "DM Mathematics"
} |
is the closest to -1/3? (a) t (b) q (c) -5
b
Let g = 21.09 + -21. Let x = 0.01 + g. Which is the closest to x? (a) -0.1 (b) -5 (c) -0.3
a
Let k = 0.17 - -1.83. Let q = 191/119 - 20/17. What is the closest to 0 in -1/11, q, k?
-1/11
Let i = 3 + -3.07. Let r = -0.42 - i. Let j = r - -0.05. What is the closest to 2 ... | {
"pile_set_name": "DM Mathematics"
} |
m**2 - 5*m. Determine 10*b(a) + 6*g(a).
106*a**2
Let v be ((-31)/(-6) - -2) + (-78)/468. Let o(k) = -k - 2. Let w(n) = 2*n + 4. Give v*o(f) + 4*w(f).
f + 2
Let s(a) = -45*a**2 + 23*a**2 + 21*a**2 - 5 + 6. Let y(d) = 3*d**2 - 12. What is -4*s(p) - y(p)?
p**2 + 8
Let f(a) = -14800*a**3 - 518*a**2. Let z(k) = 143*k**3 + 5... | {
"pile_set_name": "DM Mathematics"
} |
Solve 5*d + 0*d + 2*c = 9, -3*d - 4*c = 3 for d.
3
Solve 3*r - 5 = 5*o, -3*o + 0*o - 17 = r for r.
-5
Solve -4*f + 6 = -f - 2*q, 0 = -f - q + 2 for f.
2
Solve c + 6 - 19 = -3*d, -3*c + d = 11 for c.
-2
Solve -22 = -2*m + 5*l, -5*m + l + 9 = -0*l for m.
1
Solve -j - 2 = 2*h + 4, -2*h = -j + 10 for h.
-4
Solve 0 = 5*h + ... | {
"pile_set_name": "DM Mathematics"
} |
= 18*y**2 + 10*y - 10. Let z = -2401 - -2431. Let d(k) = -k**2 - k + 1. Calculate z*d(o) + 3*i(o).
24*o**2
Let l(n) = -70*n**3 + 10*n**2 + 7*n - 2. Let j(t) = -73*t**3 + 8*t**2 + 6*t - 1. What is 4*j(h) - 3*l(h)?
-82*h**3 + 2*h**2 + 3*h + 2
Let g(n) = 1935*n**2 + 20*n - 5. Let d(b) = -1936*b**2 - 16*b + 4. What is 5*d... | {
"pile_set_name": "DM Mathematics"
} |
4, -z*c = -2*j - 20. Let w(k) = k + 7. Calculate w(j).
3
Let w(v) = -12*v + 3. Let h be w(7). Let t = -87 - h. Let g(b) = b**2 + 8*b + 1. What is g(t)?
-11
Let w(z) be the first derivative of -2*z**3/3 - 4*z**2 - 10*z - 366. Determine w(-5).
-20
Let h(v) be the third derivative of 0*v**3 - 1/12*v**4 + 15*v**2 + 0*v + ... | {
"pile_set_name": "DM Mathematics"
} |
Suppose 0 = -x*o + o + 174. What is the units digit of o?
8
Let z be (-680)/(-3) - 2/3. Let c = z - 120. What is the units digit of c?
6
What is the tens digit of 3071/8 + 3/24?
8
Suppose a = 6*a - 5. Let s be 1*(a/1 + -1). Suppose -5*h + 3*h + 90 = s. What is the units digit of h?
5
Suppose -12*j = -2264 - 44740. Wha... | {
"pile_set_name": "DM Mathematics"
} |
*t**5 + 6*t**5 - t**5 - 4 + (-t + 3*t - t)*(2*t**4 + 0*t**3 + 0*t**3) + 0*t**5 + t**5 + 0*t**5 + 2*t**5 - 6*t**5 + 3*t**5.
16*t**5 - 4
Expand 0*n + 2*n**3 + 0*n + (0*n**2 + 3*n**2 + n**2)*(-15*n + n - 32*n) + 5*n**3 - 5*n**3 + 7*n**3.
-175*n**3
Expand 0 + 0 + z**3 - 9*z**3 - 10*z**3 - 22*z**3 + (3 - 2 + 1)*(2*z**3 + 0*... | {
"pile_set_name": "DM Mathematics"
} |
third derivative of c**4/8 - c**2 + 257*c. Calculate j(n).
-6
Let v = -49 - -42. Let d(a) = 3*a**2 - 10*a + 9. Let f(i) = -2*i**2 + 5*i - 5. Let y(x) = v*f(x) - 4*d(x). What is y(-4)?
11
Let r(f) = 3*f - 16. Suppose 6*u - 65 = u. Let l = 19 - u. Let s be r(l). Let o(m) = -2*m**3 + m + 2. What is o(s)?
-12
Suppose 0 = ... | {
"pile_set_name": "DM Mathematics"
} |
48502 is divided by 23.
21
What is the remainder when 106079 is divided by 856?
791
What is the remainder when 10654221 is divided by 1861?
1857
Calculate the remainder when 1192445 is divided by 1183.
1164
Calculate the remainder when 7846091 is divided by 27149.
30
What is the remainder when 1605187 is divided by 129... | {
"pile_set_name": "DM Mathematics"
} |
0) + -107 + (-2 - -54).
-83
Evaluate (181 - 151) + (-81 - 7).
-58
What is the value of 7 + 1 + (-15 - (-20 - (4 + -21)))?
-4
What is the value of -22 - (74 + -57 + 2)?
-41
-137 + (9 - -14) + -2
-116
Evaluate 13 + ((-12 - -26) + -25 - 8) - 14.
-20
Evaluate 24 + -33 + 22 + (9 - 97) + 3 + 0.
-72
(-43 - -126) + 10 + (5 - 7... | {
"pile_set_name": "DM Mathematics"
} |
rst derivative of 114*p**3 + 2*p**2 - 2*p - 1. Find the second derivative of l(r) wrt r.
684
Find the third derivative of -7429*f**3 - 4*f**4 - 12*f**2 + 7429*f**3 wrt f.
-96*f
Let c(v) = 9*v**3 - 3*v. Let f(t) = -18*t**3 + 5*t - 1. Suppose 0 = 6*q + 14 + 16. Let h(u) = q*c(u) - 3*f(u). What is the first derivative of ... | {
"pile_set_name": "DM Mathematics"
} |
- w + 2. Let z be y(7). Let j be (3 - -2)*2/(-5). Put z, b, j in ascending order.
z, j, b
Let a = 9 + -14. Let y be 143/(-44) - 2/(-8). Sort y, a, -1/5 in descending order.
-1/5, y, a
Let w = -204 - -205. Put -4, w, -1, 5 in decreasing order.
5, w, -1, -4
Let q = 0.06 + 0.04. Sort q, -2/7, 0.2 in decreasing order.
0.2... | {
"pile_set_name": "DM Mathematics"
} |
econd derivative of 19*o**2 - 36*o**2 + 17*o**t - 2*o**4 + 13*o wrt o?
-24*o**2
What is the second derivative of -348890*t**3 + 1533*t + 3*t**2 - 11 + 11 + 348996*t**3 wrt t?
636*t + 6
Let a(r) = 34*r**3 + 25*r**2 - 3982*r + 5. Let g(l) = 40*l**3 + 25*l**2 - 3983*l + 6. Let z(v) = 6*a(v) - 5*g(v). Find the second deriv... | {
"pile_set_name": "DM Mathematics"
} |
1. Let n be p(1). Let o be (1 + n)*2/6. Put o, 0.1, z in decreasing order.
o, 0.1, z
Suppose 4*p - 4*c = -16, 0 = -2*c + 4*c. Sort -2, p, -5, 0 in increasing order.
-5, p, -2, 0
Let o be (14/(-4) + 1)*2. Let f be o/((-30)/4)*3. Let q(b) = b + 2. Let r be q(f). Sort 3, r, 2 in decreasing order.
r, 3, 2
Let h(i) = i**2 +... | {
"pile_set_name": "DM Mathematics"
} |
What is the smallest common multiple of l(-6) and 15?
165
Let s = -9203 - -368077/40. What is the common denominator of s and -73/64?
320
Suppose 7*q + 5*q - 2592 = 0. Calculate the smallest common multiple of q and 16.
432
Let o = 1343 - 1341. What is the lowest common multiple of 7 and o?
14
Suppose -5*c + o = -33 - ... | {
"pile_set_name": "DM Mathematics"
} |
:00 PM and 4:44 AM?
344
How many minutes are there between 8:10 PM and 11:14 PM?
184
How many minutes are there between 2:25 PM and 2:34 PM?
9
What is 546 minutes before 6:28 PM?
9:22 AM
How many minutes are there between 2:17 AM and 7:35 AM?
318
What is 560 minutes before 2:38 PM?
5:18 AM
What is 298 minutes after 7:2... | {
"pile_set_name": "DM Mathematics"
} |
mine f(49).
-24
Let n(i) = -7*i**3 + 492*i**2 + 352*i + 216. Determine n(71).
3
Let o(k) = -198*k**2 - 12*k - 14. Calculate o(-1).
-200
Let o(w) = -319*w + 1910. Give o(6).
-4
Let x(n) = 3*n**2 - 40*n + 39. Determine x(16).
167
Let j(z) = -z**3 - 27*z**2 - 3*z + 603. What is j(-26)?
5
Let f(y) = -2*y**3 + 2*y**2 + 27*y... | {
"pile_set_name": "DM Mathematics"
} |
(v/(v*v*v**(1/3))*v)) assuming v is positive.
v**(173/168)
Simplify (((g*g/((g/g**4)/g))/((g*g/g**9*g*g)/g))/(g**(-2/5))**(-41))/((g**(-2/9))**(-3/4)/(g**6/((g*g/g**2*g*g)/g))) assuming g is positive.
g**(13/30)
Simplify (h*h**(2/31)/h*h*h**(-7/3)*h*h/h**(-2/15)*h/(h**(-1/31)*h*h)*h)**(-6/11) assuming h is positive.
h*... | {
"pile_set_name": "DM Mathematics"
} |
by -139?
168
39 divided by -2294
-39/2294
-291066 divided by 3
-97022
What is -15048 divided by -3762?
4
Divide -110344 by 55172.
-2
Calculate 4506924 divided by 5734.
786
What is -9628 divided by 1?
-9628
Calculate 346392 divided by -86598.
-4
Divide 39 by 319.
39/319
Divide 1635060 by -2290.
-714
Divide -109869 by -... | {
"pile_set_name": "DM Mathematics"
} |
j'th term of -38, -132, -288, -506, -786, -1128, -1532?
-31*j**2 - j - 6
What is the q'th term of -159, -127, 55, 381, 845, 1441?
-q**3 + 81*q**2 - 204*q - 35
What is the c'th term of -1011, -961, -897, -813, -703, -561, -381, -157?
c**3 + c**2 + 40*c - 1053
What is the q'th term of 336, 711, 1088, 1467, 1848, 2231, 26... | {
"pile_set_name": "DM Mathematics"
} |
o -0.2? (a) 837 (b) -2/15 (c) 60 (d) -2
b
What is the nearest to 0 in 1/7, -4, 19/32, 39, 0.5?
1/7
What is the closest to -24 in -1/2, -0.4, -0.019, -9, 0.4?
-9
What is the nearest to 5/6 in -10, -0.4, -2/3, -0.5, -51?
-0.4
What is the nearest to 1 in -179.5, 1, 2, 0.1?
1
What is the nearest to 11765 in -5, 0.118, ... | {
"pile_set_name": "DM Mathematics"
} |
term of -309, -450, -267, 402, 1719, 3846?
27*t**3 - 330*t - 6
What is the l'th term of 4041, 3977, 3879, 3753, 3605?
l**3 - 23*l**2 - 2*l + 4065
What is the w'th term of 96, 277, 420, 501, 496?
-4*w**3 + 5*w**2 + 194*w - 99
What is the h'th term of 19, 270, 723, 1378, 2235, 3294, 4555?
101*h**2 - 52*h - 30
What is th... | {
"pile_set_name": "DM Mathematics"
} |
178)
Simplify (r/r**(2/13)*(r**(-11)/r)/r)**(-7)*((r*(r**(-2/7)/r)/r)**7)**(-3/31) assuming r is positive.
r**(34637/403)
Simplify (r/r**(1/3))**(-45)/(r**(-1/2)*r**7)*(r**(-1/9)/(r**5*r*r))/((r/r**(2/17))/r*r*r**4) assuming r is positive.
r**(-14839/306)
Simplify (r**(-25)*r**(-3/11))/(r**(-3/5)*((r/((r**(-14/5)/r*r)/... | {
"pile_set_name": "DM Mathematics"
} |
8/9)/(-8)*((-1416)/(-294) + -5)?
1/49
(-36)/126 - (-2835)/(-196) - -17 - (-497)/(-4)
-122
(92/(-1))/(-3 - ((-1)/6 + (-12825)/(-4050)))
46/3
What is the value of 7/(7125/513 - 10)?
9/5
What is the value of (-2 + 532/42 + 2)/(912/(-171))?
-19/8
Calculate (8 - 1) + 1415/(-170) + 9 + (-60)/8.
3/17
Calculate 24/(-3) - (1274... | {
"pile_set_name": "DM Mathematics"
} |
n base 3, what is 12 - 10000010211021222?
-10000010211021210
In base 15, what is 3e + 93d2?
9421
In base 2, what is -11010100001011000111110001100 + 101?
-11010100001011000111110000111
In base 6, what is 1 + -13522014322?
-13522014321
In base 11, what is 36276742a - 5?
362767425
In base 3, what is 0 - 201121100222021?
... | {
"pile_set_name": "DM Mathematics"
} |
- 9*k**2/10 - 4*k + 24/5 = 0. What is k?
-4, 1, 12
What is h in -5285*h**3 + 10560*h**2 - 5265*h - 10 = 0?
-2/1057, 1
Find h, given that 3*h**5 + 69*h**4 + 171*h**3 - 201*h**2 - 402*h + 360 = 0.
-20, -3, -2, 1
Factor 5*g**2 + 105*g + 100.
5*(g + 1)*(g + 20)
Solve 18*j**3 - 318*j**2 - 448*j - 152 = 0.
-2/3, 19
Determin... | {
"pile_set_name": "DM Mathematics"
} |
n multiple of 438 and g.
3504
What is the common denominator of -101/6 and ((5115/(-27))/11)/((-42)/9)?
42
Let j = 24225 + -3633767/150. What is the common denominator of j and 29/54?
1350
Suppose 141981 = 5*c - 2*w, -3*c = -w + 4*w - 85176. Let z = -624797/22 + c. Find the common denominator of z and -81/112.
1232
Sup... | {
"pile_set_name": "DM Mathematics"
} |
*q - 3. Calculate i(q).
-14
Suppose 84*n = 79*n + 10. Let s be -6 + (-4)/(-2) + n. Let l(g) = -2*g**3 - 3*g**2 - 2*g + 2. What is l(s)?
10
Suppose 301*b + 144 = 302*b. Let k = 146 - b. Let l(c) = -6*c**3 + 19*c**3 + 4*c**2 - 9*c**2 + 6*c**k. Determine l(-1).
-12
Let i be 4/124*(-1829)/(-118). Let t(o) be the first deri... | {
"pile_set_name": "DM Mathematics"
} |
909, 2192, 4311, 7476?
11897
What is the next term in 418, 426, 436, 448, 462?
478
What comes next: -69, -231, -499, -873, -1353?
-1939
What is next in 396, 421, 436, 435, 412, 361, 276, 151?
-20
What comes next: 25, 107, 253, 469, 761, 1135, 1597, 2153?
2809
What is next in 502, 2006, 4510, 8014?
12518
What comes next... | {
"pile_set_name": "DM Mathematics"
} |
d(o) = -13*o - 3. Let f be -8 + 5 + -3 + 16. Let g(j) = 43*j + 10. Let p(w) = f*d(w) + 3*g(w). Calculate p(l(q)).
131*q**2
Suppose -6*w + 100 = -w - 2*a, w - a - 23 = 0. Let s(y) = 17*y + w*y - 46*y + 13*y. Let b(z) = 327*z. Give b(s(u)).
654*u
Let w(i) = -94*i**2 - 8*i - 16. Let j(n) = -12*n**2 - n - 2. Let m(y) = -8... | {
"pile_set_name": "DM Mathematics"
} |
47.
5647
What are the prime factors of 28718?
2, 83, 173
List the prime factors of 32615.
5, 11, 593
What are the prime factors of 3934?
2, 7, 281
What are the prime factors of 35153?
35153
List the prime factors of 101832.
2, 3, 4243
List the prime factors of 3473.
23, 151
What are the prime factors of 30417?
3, 10139... | {
"pile_set_name": "DM Mathematics"
} |
w*j**4 - 3*j wrt j.
96*j**2
Let i(t) be the second derivative of 2/3*t**4 + 16*t**2 + 25*t + 0 + 0*t**3. Differentiate i(o) wrt o.
16*o
Let k(r) be the third derivative of -219*r**4/8 - 79*r**3/6 + 25*r**2. Differentiate k(t) with respect to t.
-657
Let o(h) = -187*h**4 - 2*h**2 - 6*h - 194. Let r(d) = -375*d**4 - 5*d*... | {
"pile_set_name": "DM Mathematics"
} |
ob of sequence zo.
5/36
Two letters picked without replacement from {s: 8, u: 4, p: 1}. What is prob of sequence ps?
2/39
What is prob of sequence vrv when three letters picked without replacement from {r: 6, p: 1, v: 4, q: 1, b: 1}?
6/143
Two letters picked without replacement from {h: 3, x: 2, w: 2, b: 2}. What is pr... | {
"pile_set_name": "DM Mathematics"
} |
5 + -11. Suppose 0 = 2*c - i - 2, c + d*i = -2*c + 14. Let j = 0 + -0.2. Put -4, j, c in increasing order.
-4, j, c
Let z = -8 - -10. Suppose -z + 3 = -w. Let r be -3 + 8/60 - 4/30. Sort 3, r, w in increasing order.
r, w, 3
Let w(n) be the first derivative of -n**3/3 + 3*n**2 + 4*n + 57. Let v be w(0). Put -5, v, 7 in ... | {
"pile_set_name": "DM Mathematics"
} |
than or equal to -29?
False
Suppose -29*q = 21*q. Is q at least 2/401?
False
Let t = 3 - 3.1. Let l = 30 - 25. Suppose l*j = -4*i - 69, 3*j + 48 = -7*i + 4*i. Which is smaller: t or i?
i
Let d be ((-10)/30)/(2/(-6)). Let q be (6/(-4))/((2/d)/68). Is -1 greater than or equal to q?
True
Let y = -2 - -22. Suppose c = -3*c... | {
"pile_set_name": "DM Mathematics"
} |
41. Does 33 divide f?
True
Suppose 4*w - 21 + 9 = 0. Let o(s) = -s**3 + 3*s**2 - 2*s + 6. Let z be o(w). Suppose z = -9*j + 5*j + 488. Does 23 divide j?
False
Let q be -8 - (-329)/21 - (-2)/6. Is 19 a factor of ((40/15)/q)/(7/399)?
True
Let t(k) = 303*k + 93. Does 134 divide t(5)?
True
Let w(b) = -3*b**3 - 8*b**2 + 27*... | {
"pile_set_name": "DM Mathematics"
} |
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