text stringlengths 270 8.19k | meta dict |
|---|---|
0
What is 2215775 rounded to the nearest 10000?
2220000
What is -1.8784661 rounded to 3 dps?
-1.878
Round 25192300 to the nearest 1000000.
25000000
What is 110401.74 rounded to the nearest 100?
110400
Round 0.000154142 to 7 dps.
0.0001541
Round -0.137007 to one decimal place.
-0.1
What is 467503 rounded to the nearest ... | {
"pile_set_name": "DM Mathematics"
} |
= -t - x, t = 4*g + 11 for g.
-3
Suppose 0 = -10*a - a + 33. Solve 8 = 4*o + 24, -22 = -5*c + a*o for c.
2
Let d be 4/(-14) + (-23)/(-7). Let y be 0/(-1 + -2) - -1. Suppose 0 = -4*i + 19 + y. Solve -d*x - x = -q + 24, -i*x = 4*q + 9 for q.
4
Let v = 26 - 18. Solve 0 = t + 3*p + 12, p + v = -p for t.
0
Suppose 5*g = s ... | {
"pile_set_name": "DM Mathematics"
} |
- 13. Let g(m) = -2*m - 5. Let d(q) = q + 4. Give n*d(p) - 2*g(p).
p - 2
Let m(v) = -v + 2. Let y(j) = 3*j - 4. Determine -5*m(f) - 2*y(f).
-f - 2
Let g(f) = -7*f**3 - 8*f**2 + 2*f - 3. Let l(w) = -6*w**3 - 7*w**2 + 2*w - 2. What is -5*g(c) + 6*l(c)?
-c**3 - 2*c**2 + 2*c + 3
Let u(k) = -8*k - 3. Let g(m) = -m. Let y =... | {
"pile_set_name": "DM Mathematics"
} |
.
t**(22/3)
Simplify (((t**(2/47))**(-1))**(-46))**33 assuming t is positive.
t**(3036/47)
Simplify (((q/(q/(q*q**2/q)))**(-18))**27)**44 assuming q is positive.
q**(-42768)
Simplify (s**(1/2))**(1/2)*(s**(-2/11))**12 assuming s is positive.
s**(-85/44)
Simplify (b*((b*b**4/b)/b)/b*b)**(-2/55)/((b/b**24)/b*(b**(-30)*b)... | {
"pile_set_name": "DM Mathematics"
} |
ich is the third smallest value? (a) o (b) w (c) -0.1
b
Let u = -69 - -62. Let s = 0.39 - -0.01. What is the second smallest value in u, 0.1, s?
0.1
Let s = -3047 - -3049. Let j = -0.1 - 0.2. Which is the third biggest value? (a) s (b) j (c) -2/5 (d) 0.5
b
Let g = 48 - 47.94. Let y = 3.94 + g. Which is the small... | {
"pile_set_name": "DM Mathematics"
} |
is the first derivative of 3*b*r**3 - 16*b*r**2 - 30*b - 14*r**3 + 87 wrt r?
9*b*r**2 - 32*b*r - 42*r**2
Find the second derivative of 13*g**4 + 19*g**2 + 13*g - 48.
156*g**2 + 38
Find the second derivative of -f**2*n**2*v + 170*f**2*n**2 + 2*f**2*v + 6*f*n**2 + 21*f*n*v - 3*f*v + n**2*v wrt f.
-2*n**2*v + 340*n**2 + ... | {
"pile_set_name": "DM Mathematics"
} |
+ 33*u**2 + 750*u**5 - 23*u**2 + 12 - 5 wrt u?
45000*u**2
Let c(w) = w**5 - 4*w**3 - 308*w**2 + 5*w + 18. Let m(s) = s**5 + 2*s**3 - s**2 + s. Let h(d) = c(d) + 2*m(d). What is the second derivative of h(g) wrt g?
60*g**3 - 620
Suppose 0 = 8*g + 417 - 1241. Find the first derivative of -3*u + 6 + 57*u**4 - g*u**4 + 30... | {
"pile_set_name": "DM Mathematics"
} |
i. Is 12 a factor of q?
True
Let a be 4 - 696/44 - (-8)/(-44). Let f(p) = -3*p - 9. Is 9 a factor of f(a)?
True
Let r(j) = -j. Let h(w) = -9*w + 45. Let b(p) = -h(p) + 15*r(p). Is b(-15) a multiple of 15?
True
Is (15/6)/(-5)*7992/(-4) a multiple of 37?
True
Let g(o) = 2*o**3 - 46*o**2 - 14*o - 176. Does 10 divide g(24... | {
"pile_set_name": "DM Mathematics"
} |
2. Let j(g) = 3*g**2 - 4 + 0*g**2 - 4*g**2. What is b*j(p) - 3*z(p)?
2*p**2 - 1
Let t(b) = -13*b**2 - 3*b. Let s(w) = 13*w**2 + 2*w. Give 3*s(m) + 2*t(m).
13*m**2
Let b(g) = 7*g - 3. Suppose -4*i - v = v - 12, 0 = 2*i + 5*v + 10. Let n(r) = -8*r + 4. Calculate i*n(y) + 6*b(y).
2*y + 2
Suppose 19 = -2*k + g - 1, -5*g = ... | {
"pile_set_name": "DM Mathematics"
} |
*s
Let u(j) = 2*j**2. Let y(o) be the first derivative of 2*o**3/3 + o + 1. Let g(z) be the first derivative of y(z). Give u(g(r)).
32*r**2
Let w(y) be the second derivative of 0*y**2 - 3*y + 0 + 1/6*y**4 + 0*y**3. Let b(i) = -i**2. Give w(b(o)).
2*o**4
Let j(p) = 3*p. Let w(t) be the first derivative of t**2/2 + 3. Wh... | {
"pile_set_name": "DM Mathematics"
} |
- 1. Let j(q) be the third derivative of r(q). Give v(j(t)).
-4*t**2
Let f(m) be the second derivative of m**4/6 + 30*m**2 + 2*m + 1854. Let c(t) be the first derivative of 2*t**3/3 - 1. Determine f(c(s)).
8*s**4 + 60
Let x(m) = 126631*m**2. Let w(r) = 298*r. Calculate w(x(p)).
37736038*p**2
Let m(p) = 2*p. Let j(t) be... | {
"pile_set_name": "DM Mathematics"
} |
, 0 = -2*g + m + 10. Factor g*w**4 + 2*w**3 + w**3 + 0*w**3.
3*w**3*(w + 1)
Let k be (-3)/(-5) + (-358)/30. Let a = 12 + k. Factor 0 - 2/3*w**2 + a*w.
-2*w*(w - 1)/3
Let v be (0 + 1)/(1/2). Find w, given that -3*w**3 + 4*w + 8 - w**2 - 9*w**3 - 15*w**v = 0.
-1, 2/3
Suppose -2*q = q. Suppose q*s = 4*s. Let s - 2/3*n**5 ... | {
"pile_set_name": "DM Mathematics"
} |
.2 - -3.8. Let d = 3.999928 - c. What is d rounded to 5 dps?
-0.00007
Let q = 0.08 + 0.002. Let j = 32.263 + -32.1. Let p = q - j. What is p rounded to two dps?
-0.08
Let u = -0.02 + 0.01. Let x = -0.01002 - u. Round x to 5 dps.
-0.00002
Let i = -14.99 + -0.01. Let n = i + 15.012. Round n to two dps.
0.01
Suppose 3*o -... | {
"pile_set_name": "DM Mathematics"
} |
6, -64077, -113982, -178161?
-7137*w**2 + 54*w - 6
What is the r'th term of -15898, -16289, -16680, -17071, -17462, -17853?
-391*r - 15507
What is the y'th term of -53599, -53565, -53527, -53479, -53415?
y**3 - 4*y**2 + 39*y - 53635
What is the m'th term of 45, -781, -3527, -9153, -18619, -32885?
-160*m**3 + 294*m - 89... | {
"pile_set_name": "DM Mathematics"
} |
-3014 + 3014. Solve a*b - x = -h*b for b.
3
Let q be (2 - 2)*69/(-207). Solve -6*f + 8*f - 10 = q for f.
5
Suppose 5*o - 4*l = 44 - 12, 4*l = -3*o. Suppose 4*q + 49 = 65. Solve -12 = -q*x + o for x.
4
Let u(n) = -2*n. Let a be u(-2). Suppose 5*h + 124 = 9*h + 5*l, -4*h + 3*l + 156 = 0. Suppose 5*s - 109 = -5*o + h, -5*... | {
"pile_set_name": "DM Mathematics"
} |
nd 10:15 AM?
672
What is 135 minutes after 1:08 AM?
3:23 AM
What is 209 minutes after 5:27 PM?
8:56 PM
How many minutes are there between 2:47 AM and 6:59 AM?
252
How many minutes are there between 8:58 PM and 3:11 AM?
373
How many minutes are there between 11:33 AM and 10:48 PM?
675
How many minutes are there between ... | {
"pile_set_name": "DM Mathematics"
} |
What is the remainder when 581300 is divided by 5644?
5612
Calculate the remainder when 99388589 is divided by 6.
5
Calculate the remainder when 4110953 is divided by 101.
51
What is the remainder when 180649 is divided by 3229?
3054
What is the remainder when 1043701 is divided by 3574?
93
Calculate the remainder whe... | {
"pile_set_name": "DM Mathematics"
} |
(-84)/(-60) - (-15)/25 - 4/4. Suppose -1/6*o**2 - 5/6*o + q = 0. Calculate o.
-6, 1
Suppose -9 - 79 = -22*x. Let b = 75 + -52. Suppose -7*g**x - 15*g**2 + 2*g**4 + 20 - 3*g + 23*g - b*g**3 + 3*g**3 = 0. Calculate g.
-2, -1, 1
Let q(m) be the first derivative of 33*m**4/14 - 62*m**3/21 - 200*m**2/7 - 24*m/7 - 3465. Fin... | {
"pile_set_name": "DM Mathematics"
} |
es after 8:25 AM?
11:01 AM
How many minutes are there between 2:09 PM and 4:54 PM?
165
What is 508 minutes after 8:54 PM?
5:22 AM
What is 670 minutes after 2:50 PM?
2:00 AM
What is 646 minutes after 3:18 AM?
2:04 PM
What is 627 minutes after 2:32 PM?
12:59 AM
How many minutes are there between 2:03 PM and 7:08 PM?
305
... | {
"pile_set_name": "DM Mathematics"
} |
und 0.16491 to 2 decimal places.
0.16
Round -235100000 to the nearest 1000000.
-235000000
What is -419900 rounded to the nearest 100000?
-400000
What is 0.000000302 rounded to 7 decimal places?
0.0000003
What is 0.0042245 rounded to 4 decimal places?
0.0042
What is 0.00037835 rounded to six dps?
0.000378
Round 0.000006... | {
"pile_set_name": "DM Mathematics"
} |
5*o - 2*o + 3. Suppose -9*d = -8*d - 11. What is the lowest common multiple of (-2)/((-2)/o) + 3 and d?
22
Let u(k) = -k**2 - 6*k + 10. What is the lowest common multiple of u(-6) and 10?
10
Let r(w) = w**3 + 4*w**2 - 6*w + 6. Let g be r(-6). Find the common denominator of -5 + 8 + g/16 and -49/3.
24
Let g = -4 + 6. Su... | {
"pile_set_name": "DM Mathematics"
} |
is the units digit of n?
7
Let y(g) = -g**2 + 6*g - 6. Let j be y(6). Suppose b - 2*a - 1 = -0*b, 0 = -3*b + 3*a + 18. Let q = j + b. What is the units digit of q?
5
Let n be 560/(-30) + 2/(-6). Let f = 2 - n. What is the tens digit of f?
2
Suppose 5*v = 540 + 295. What is the hundreds digit of v?
1
Let c(y) = 6*y**3.... | {
"pile_set_name": "DM Mathematics"
} |
= 81 - u. Does 9 divide y?
False
Let f be 78/8 - 3/(-12). Does 8 divide (f/25)/(1/70)?
False
Suppose 10878 = 4*j - 0*h - 2*h, -2*j = h - 5433. Is j a multiple of 73?
False
Suppose -4*r + 2*r = 4*s + 24, -4*r = 5*s + 42. Let d be 46/4 - (-1)/2. Is r/(1 - 16/d) a multiple of 9?
False
Let q = -399 - -829. Is q a multiple ... | {
"pile_set_name": "DM Mathematics"
} |
t common factor of 497 and 170968.
497
What is the highest common divisor of 393 and 6943?
131
Calculate the highest common divisor of 181 and 240187.
181
Calculate the highest common divisor of 272 and 3536.
272
Calculate the greatest common divisor of 7798 and 3633.
7
Calculate the highest common factor of 458188 and... | {
"pile_set_name": "DM Mathematics"
} |
Let n(a) = 5*a. Let w(j) = -5*n(j) - 2*r(j). Let x(y) be the first derivative of 77 + 0*y - 2/3*y**3 + 0*y**2. Give x(w(t)).
-18*t**2
Let f(i) = i**2. Let b(h) be the third derivative of -h**5/10 - 2*h**3/3 - 1046*h**2. Give b(f(q)).
-6*q**4 - 4
Let w(g) = g. Let v(x) = -366*x + 15. Let b(k) = -182*k + 6. Let a(q) = 78... | {
"pile_set_name": "DM Mathematics"
} |
ed by -303381
-684
142943298 divided by -3
-47647766
-13037 divided by -245
13037/245
Calculate -892931230 divided by 5.
-178586246
What is -7218822 divided by 189969?
-38
Divide -108781308 by -171.
636148
Calculate -356264472 divided by -3.
118754824
Calculate -348 divided by -136728.
29/11394
-37216566 divided by 186... | {
"pile_set_name": "DM Mathematics"
} |
2. Let v be b(8). Which is bigger: v or o?
v
Let k = 2014783/67 + -30073. Is 1/3 at most k?
False
Suppose 5*w + 33 - 48 = 0. Let d = 7 - w. Are 16/5 and d non-equal?
True
Let w = -1143/7 + 161. Let a = 65 + -59. Suppose -2*m = -4*l + 10, -2*m - a = 5*l - 5. Is w at least as big as m?
True
Let r(f) = f + 14. Let j be r(... | {
"pile_set_name": "DM Mathematics"
} |
i = q + 508/5. Is d less than or equal to i?
False
Let i(s) = -4*s - 4*s - 2 + 3*s + 4*s. Let u be -5 + (-1 + -1)/(-1). Let d be i(u). Which is smaller: 0 or d?
0
Suppose 0 = u - 2*a - 15 - 7, -2*a - 48 = -2*u. Do -0.1 and u have different values?
True
Let f = -2/67 - 185/536. Which is smaller: f or 1?
f
Let n be 2/(-... | {
"pile_set_name": "DM Mathematics"
} |
9/143
Two letters picked without replacement from mduddmduudumdududu. What is prob of picking 1 m and 1 u?
7/51
What is prob of picking 1 c and 1 m when two letters picked without replacement from mjcjjjjjcwcjc?
2/39
Three letters picked without replacement from {h: 12, q: 3}. Give prob of picking 3 h.
44/91
Two lette... | {
"pile_set_name": "DM Mathematics"
} |
sqrt(5)
Simplify -3 + (4*(sqrt(500)*2 + 3)*-6)**2 + -3.
69120*sqrt(5) + 1157178
Simplify (((-3 + sqrt(180))*-6 - -3*(sqrt(180) + 3 - sqrt(180)))*3)**2.
-17496*sqrt(5) + 64881
Simplify 4*((sqrt(500) - (sqrt(500) - -1*sqrt(500))) + 4 + sqrt(500) - ((sqrt(500) + sqrt(500) + 0)*-5 + sqrt(500)))**2.
2880*sqrt(5) + 162064
Si... | {
"pile_set_name": "DM Mathematics"
} |
5}. Give prob of sequence qqq.
1
What is prob of sequence kc when two letters picked without replacement from trckvvvvvrsvtrvrvvrr?
1/380
What is prob of sequence rth when three letters picked without replacement from {o: 8, h: 5, t: 1, r: 5}?
25/5814
Four letters picked without replacement from xjxsjava. What is prob ... | {
"pile_set_name": "DM Mathematics"
} |
Which is the closest to 5/6? (a) -2/161 (b) -6 (c) 5 (d) -3
a
What is the closest to 1 in -5, -141, 2, -4/9?
2
Which is the nearest to -0.04? (a) -0.023 (b) -26 (c) 5
a
Which is the nearest to -0.1? (a) -0.4 (b) 0 (c) -2 (d) 27942
b
Which is the nearest to -48? (a) -4 (b) 15 (c) -1/3 (d) 0.04
a
Which is... | {
"pile_set_name": "DM Mathematics"
} |
l + -0.83. Round o to five dps.
-0.00011
Let x = 0.9 + 189.1. Let c = -190.0111 + x. Round c to three decimal places.
-0.011
Let u = 21 + -36. Let s = u - -8. Let z = 5 - s. Round z to the nearest ten.
10
Let j = 81.7 + -82.794. What is j rounded to 1 decimal place?
-1.1
Let q = -19.6 - -19.6226. Let r = -0.2484 - q. ... | {
"pile_set_name": "DM Mathematics"
} |
/32
Calculate -37323 divided by 1131.
-33
What is -16080 divided by -6?
2680
Calculate -104715 divided by 1611.
-65
Calculate -51590 divided by -5159.
10
Divide -9394 by -122.
77
1 divided by -470908
-1/470908
Calculate -16750 divided by 1.
-16750
What is 89401 divided by -13?
-6877
Divide 1097 by -1139.
-1097/1139
Div... | {
"pile_set_name": "DM Mathematics"
} |
is smaller: k or s?
s
Suppose -h + 16 = 3*g - 55, 25 = g + h. Are g and -49 unequal?
True
Let v = 28510 - 27400. Which is greater: v or -1?
v
Suppose -j - 1187*w + 1183*w = 1633, 0 = -w - 3. Which is smaller: j or -1622?
-1622
Suppose 29*l - 3 = 26*l. Let q = 3327944/99 + -33615. Let u = 9/11 - q. Which is smaller: l o... | {
"pile_set_name": "DM Mathematics"
} |
**2 - 2*b + 1
Expand (78 + 44 - 11)*(4*j**2 - 4*j**2 + 2*j**3).
222*j**3
Expand 3*g + 0*g - 2*g + (g + 1 - 1)*(-2 + 6 - 2)*(25 - 8 + 26 + 0 + 0 + 1 + (2 - 4 + 4)*(0 - 1 + 3) + 1 + 3 - 2).
101*g
Expand (-2*s + 0 + 0)*(s + 0*s - 5*s)*(-2 - 2 + 2).
-16*s**2
Expand (4*s + 2*s - 4*s)*(-s + 1 - 1 + (0 - 4 + 2)*(3*s - 3*s + s... | {
"pile_set_name": "DM Mathematics"
} |
m l + w*q**2 + h*q**3 + k*q and give h.
-1
Rearrange -3*o + 13 - 4630*o**3 + 2318*o**3 + 17 + 7 + 2320*o**3 to j*o + b*o**2 + n*o**3 + t and give t.
37
Express -18 - 10 - 3*y**2 + 4*y**4 - 2*y**3 - 3*y + 37 - 11 as z*y**4 + s*y**2 + w + c*y**3 + d*y and give c.
-2
Rearrange 927*h**2 + 1392*h**2 + 956*h**2 - 239*h**2 to... | {
"pile_set_name": "DM Mathematics"
} |
closest to d in a, -4, -5?
-4
Let l = 10564/52545 - 11/10509. Let u be 8/(-5) + (-4)/10. Let o be 1/(u - 10/(-6)). Which is the closest to o? (a) l (b) -4/9 (c) 0
b
Let y be (-57)/(-45) - (-81)/(-135). Which is the closest to 1/52? (a) y (b) 2/9 (c) -1/2
b
Let p = -0.3 + 0.8. Let m = -133.677 + 129.677. Which is... | {
"pile_set_name": "DM Mathematics"
} |
0 + 2.
-4
What is (-2 - (8 - 19)) + -4?
5
Evaluate -10 - (3 - (-7 - -16)).
-4
Evaluate -7 + (2 - (-5 + 4)) - -7.
3
What is -5 - (-13 + 5) - 0?
3
-5 + 10 - (5 + -1)
1
Evaluate 0 - 0 - (1 + 0).
-1
What is the value of 25 + -16 + 1 + -8?
2
What is (3 - (0 - -6)) + 3?
0
Evaluate (3 - -5) + (-10 + 10 - 3).
5
Evaluate 2 + (4... | {
"pile_set_name": "DM Mathematics"
} |
t l.
-20*l**3
Let x = 2 - -1. Find the first derivative of 5*m**3 + 3*m**4 - 2*m**3 - x*m**3 + 2 wrt m.
12*m**3
Let r(k) = 5*k**2 + 4*k. Let j(c) = 16*c**2 + 13*c. Let i = -11 + 13. Let d(p) = i*j(p) - 7*r(p). What is the second derivative of d(g) wrt g?
-6
Suppose -w = -5*n + w + 10, n = 2*w + 2. Find the third deriva... | {
"pile_set_name": "DM Mathematics"
} |
in the form m + l*n**2 + i*n and give l.
-110
Rearrange 472*v + 10288 + 10287 - 20577 to n*v + m and give m.
-2
Rearrange 7 - 3 + 236*d**2 - 6 - 1499*d - 235*d**2 to the form o*d + u + y*d**2 and give u.
-2
Rearrange -2 + 8*f**3 + 236776*f**2 - 6*f**3 + 39*f - 236773*f**2 to the form v + s*f + l*f**3 + n*f**2 and give ... | {
"pile_set_name": "DM Mathematics"
} |
+ 47*v**3 - 268453*v.
47*v**3
Collect the terms in 285*n + 323*n + 318*n + 327*n + 328*n - 1914*n + 335*n.
2*n
Collect the terms in -132*v - 6210 - 1386 + 841.
-132*v - 6755
Collect the terms in -4581*g + 2 + 2292*g + 2291*g - 2 - 1020*g**2.
-1020*g**2 + 2*g
Collect the terms in 29195*v + 5639*v - 8621*v.
26213*v
Coll... | {
"pile_set_name": "DM Mathematics"
} |
- 1)*(f + 1)/7
Suppose -17*m + 30 = -14*m. Suppose i - 18 = -3*l, -5*i + 4*l = -l + m. What is o in -1 - 42*o + 39*o + 7 - i*o**2 = 0?
-2, 1
Let t be ((-60)/(-16))/(9*35/126). Factor -t*h + 1 + 1/2*h**2.
(h - 2)*(h - 1)/2
Let f(v) = -7*v**3 - 8*v**2 - 3*v - 2. Let h be f(-1). Let j(c) be the second derivative of 0 + h*... | {
"pile_set_name": "DM Mathematics"
} |
- 67*d = 4253 + 6931 - 1315 for d.
71
Solve 310*d - 4114 - 26390 = 728*d + 2518 for d.
-79
Solve -82*c = -625*c - 10317 for c.
-19
Solve 549*x + 14780 = -6474 + 7930 - 14675 for x.
-51
Solve 59*s + 93*s - 1343 + 306 - 787 = 0 for s.
12
Solve 114*u = -2026355 + 2025671 for u.
-6
Solve -36*h - 250*h + 1587 = 5759 + 6982... | {
"pile_set_name": "DM Mathematics"
} |
st the prime factors of 4/(-16)*40/i + 289.
2, 3, 7
Suppose -26 = -4*q - 5*p, -5*q + 7*p = 10*p - 26. Suppose 0*h = -4*h - q, -5*b = h - 8809. List the prime factors of b.
2, 881
Let x = -53116 - -83598. What are the prime factors of x?
2, 15241
Let p(u) = -39*u - 38. Let j(c) = -3*c + 23. Let g be j(15). What are the ... | {
"pile_set_name": "DM Mathematics"
} |
ect the terms in 2*c**3 - 287 + 95*c - 284 - 289 + 858.
2*c**3 + 95*c - 2
Collect the terms in -20087*p**2 + 3348*p**2 - 11536*p**2.
-28275*p**2
Collect the terms in -1061360*k**2 + 530876*k**2 + 530496*k**2.
12*k**2
Collect the terms in 23*u - 2 + 1 - 20*u + 140*u**2 - 27*u**2 - u.
113*u**2 + 2*u - 1
Collect the terms... | {
"pile_set_name": "DM Mathematics"
} |
55618528?
True
Does 63 divide 14351904?
True
Is 3658 a factor of 56592918?
True
Is 186 a factor of 1684730635?
False
Is 258589827 a multiple of 130?
False
Is 31315065 a multiple of 200?
False
Is 22291142 a multiple of 19?
True
Is 48459777 a multiple of 157?
True
Does 114 divide 296409690?
True
Does 2 divide 68051261?
F... | {
"pile_set_name": "DM Mathematics"
} |
olve 295 = -179*y - 242 for y.
-3
Solve 436*a = 449*a + 65 for a.
-5
Solve 28*c - 20*c = 152 for c.
19
Solve 11*i = 23*i - 24 for i.
2
Solve 314*g + 170*g + 4866 = -4330 for g.
-19
Solve -259*k - 3 = -59*k + 1797 for k.
-9
Solve 42*s = 327*s + 125*s for s.
0
Solve 0 = 39*a - 40 - 80 + 3 for a.
3
Solve -513 = 2134*j - 2... | {
"pile_set_name": "DM Mathematics"
} |
prime factors of n.
5
Let x = -27 - -32. Let a(n) = n**3 - 5*n**2 + 6*n - 4. What are the prime factors of a(x)?
2, 13
Let k be 3*((-2)/2 - -2). Suppose 2*n = 3*n - 2. Suppose d = k + n. What are the prime factors of d?
5
Suppose 2*r - 3*p + 12 = 0, r + 2*r = -3*p + 12. Suppose 0*b = -2*n - b + 23, -3*n + 4*b + 29 = r... | {
"pile_set_name": "DM Mathematics"
} |
3 + 540*j**2
Expand -32*q**4 - 2*q**3 - 754*q - 1 + 754*q + (12*q**3 - 54*q**3 - 10*q**3)*(-3*q - 3*q + 4*q).
72*q**4 - 2*q**3 - 1
Expand (-73*h**2 + 116*h**2 + 221*h**2)*(-4*h + h + h) - 2*h**3 + 3*h**3 - 2*h**3 + (-h - 4*h + 3*h)*(-h**2 + h**2 - h**2).
-527*h**3
Expand (v**2 - 21355*v + 24144802 - 24144802)*(3*v**2 +... | {
"pile_set_name": "DM Mathematics"
} |
(b) 2 (c) -0.1
c
Which is the closest to 8? (a) -34427 (b) 0.02 (c) 0.4
c
Which is the closest to -0.4? (a) -4/3 (b) -1/23 (c) -82 (d) -0.0005 (e) -5
b
What is the closest to -1/3 in 1185, -1, 1/9?
1/9
What is the closest to -3/79 in 3, 0.16, 140/9?
0.16
Which is the nearest to -2/31? (a) -3/83 (b) -2/9 (... | {
"pile_set_name": "DM Mathematics"
} |
)*5 + (sqrt(192) - (5*sqrt(192) + sqrt(192)))*2).
-20 + 40*sqrt(3)
Simplify -4*(sqrt(22) + sqrt(22) + ((sqrt(22) - sqrt(550)) + sqrt(22))*5)/(sqrt(1100) + sqrt(1100) + sqrt(1100)*2).
13*sqrt(2)/10
Simplify (-3 + (-4*(sqrt(320)*-1 + 5))**2)*-6.
-33102 + 7680*sqrt(5)
Simplify 2 + sqrt(13) + sqrt(208) + sqrt(208) + 3 + sq... | {
"pile_set_name": "DM Mathematics"
} |
f 5735?
5
What is the tens digit of 321?
2
What is the tens digit of 3665?
6
What is the thousands digit of 13219?
3
What is the tens digit of 6881?
8
What is the hundreds digit of 2038?
0
What is the units digit of 4885?
5
What is the units digit of 76575?
5
What is the hundreds digit of 44916?
9
What is the thousands... | {
"pile_set_name": "DM Mathematics"
} |
of h**4/8 + 7*h**3/6 + 3*h**2. Let k(m) = 6*j(m) - t(m). Differentiate k(p) with respect to p.
3
Let r be (4/(-1))/(4/(-2)). Let t be (-1*1)/(r/(-2)). Find the second derivative of -t + 1 - a - 3*a**3 wrt a.
-18*a
Let c(g) = -g + 10. Suppose -82 = -5*u - 3*w - 30, -3*w = -5*u + 28. Let v be c(u). What is the third deri... | {
"pile_set_name": "DM Mathematics"
} |
)
Simplify (d*d**(-3))/(d/d**(-13/3))*d**16/(d/(d*d*d/d**(3/16))) assuming d is positive.
d**(503/48)
Simplify (d*d**(2/5)/d)**(-49)*d*d**(9/5)/d*d*d*d**17 assuming d is positive.
d**(6/5)
Simplify (d*d**(-1/4))**(-2/31)*d**(-11)/((d/(d/(d/(d/(d*d*d**(-2/23)/d)))))/d) assuming d is positive.
d**(-15631/1426)
Simplify (... | {
"pile_set_name": "DM Mathematics"
} |
4908112?
True
Is 9303576 a multiple of 1584?
False
Is 869661280 a multiple of 562?
True
Does 14 divide 11994178?
True
Is 1084454735 a multiple of 893?
True
Is 10 a factor of 1298311370?
True
Is 110 a factor of 59201225?
False
Does 2895 divide 3304040340?
True
Is 355378 a multiple of 195?
False
Is 20 a factor of 4793728... | {
"pile_set_name": "DM Mathematics"
} |
he remainder when 40112 is divided by 2192.
656
What is the remainder when 119785 is divided by 17090?
155
What is the remainder when 521121 is divided by 521110?
11
Calculate the remainder when 9494279 is divided by 78465.
14
What is the remainder when 29288104 is divided by 135?
124
What is the remainder when 2973373... | {
"pile_set_name": "DM Mathematics"
} |
*n = 3*r + 26. Suppose 0 = -2*j + v + 3, -2*j + 3*v = n - 5. Differentiate -2*i - 8 - 29*i**2 + 43*i**2 + j*i with respect to i.
28*i
Let l be 4 + 4518/63 - (-4)/14. What is the third derivative of 181*f**2 - 4*f**3 - 263*f**2 + l*f**3 wrt f?
432
What is the first derivative of 3094 - 6016 + 4*i**3 + 4192 + 26*i wrt i?... | {
"pile_set_name": "DM Mathematics"
} |
1}. Give prob of picking 3 u.
1/165
Calculate prob of picking 2 j and 1 v when three letters picked without replacement from {v: 1, j: 2, r: 1}.
1/4
Three letters picked without replacement from iiiaikk. Give prob of picking 2 i and 1 a.
6/35
Calculate prob of picking 2 m, 1 o, and 1 x when four letters picked without ... | {
"pile_set_name": "DM Mathematics"
} |
r of c and g?
7
Suppose -11 = 5*n - 41. Calculate the highest common factor of 30 and n.
6
Suppose 0 = 9*y - 11*y + 16. What is the highest common divisor of 40 and y?
8
Suppose 0 = 3*i - 153 + 36. What is the greatest common divisor of i and 156?
39
Let v(s) = 2*s + 7. Let q be v(0). Let z = q - -4. What is the highes... | {
"pile_set_name": "DM Mathematics"
} |
ascending order.
0, 2, 10
Sort 2, -5, -1, -4 in decreasing order.
2, -1, -4, -5
Sort -8, -2, 2, -1 in decreasing order.
2, -1, -2, -8
Sort 0, -4, -3/8, 3 in ascending order.
-4, -3/8, 0, 3
Sort 0.06, 2/25, 1 in decreasing order.
1, 2/25, 0.06
Sort -1/2, -4, 3, 0.1, -6/11.
-4, -6/11, -1/2, 0.1, 3
Put 3, -3, 1773 in des... | {
"pile_set_name": "DM Mathematics"
} |
89, -692?
-695
What is the next term in -91, -182, -275, -370, -467, -566, -667?
-770
What is the next term in -1708, -3416, -5122, -6826, -8528, -10228, -11926?
-13622
What comes next: -29, -45, -71, -107, -153, -209?
-275
What is the next term in -1218, -1217, -1216, -1215, -1214?
-1213
What is the next term in -2825... | {
"pile_set_name": "DM Mathematics"
} |
(a) -1 (b) q (c) y (d) -14
b
Let t be 2 - 3 - (-4)/5. Let h be (2/26)/((7/(-7))/89). Let j = 7 + h. What is the closest to 0 in -5, j, t?
j
Suppose -7 = 308*t - 301*t. Which is the nearest to 0.9? (a) -2/3 (b) -2/15 (c) 3 (d) t
b
Let h = -1.2 + 2.2. Let p = 13.019 + -12.969. What is the nearest to p in 0.3, -3, ... | {
"pile_set_name": "DM Mathematics"
} |
ked without replacement from bzhbzzznz. What is prob of picking 1 z and 1 h?
5/36
Three letters picked without replacement from ffxlllxlxxlfxlxxlx. What is prob of picking 2 l and 1 x?
7/34
Four letters picked without replacement from jfjjrrjrrrrjjrrfr. What is prob of picking 2 r and 2 j?
27/119
Four letters picked wi... | {
"pile_set_name": "DM Mathematics"
} |
the third biggest value in 6881341, -0.1, -2/9?
-2/9
What is the third biggest value in 143, 6, -0.1, -1/289, -0.3?
-1/289
Which is the third smallest value? (a) -34 (b) 4 (c) 358.1 (d) 3/4 (e) 12
b
What is the biggest value in 240, 0, -5, 13/5124?
240
What is the fourth smallest value in -35, -3, 2002, 0.2, 0.3?... | {
"pile_set_name": "DM Mathematics"
} |
.726
Work out -0.4 + -3.204.
-3.604
Work out 31365 + 0.2.
31365.2
Total of 1478 and -1207.
271
21 - -5.74
26.74
What is -0.0442 + -5?
-5.0442
-4 - 0.213073
-4.213073
Add together -529.497 and 5.
-524.497
Subtract -15979 from -0.0391.
15978.9609
What is -5271 plus -1.07?
-5272.07
What is 0.1 - 241.8?
-241.7
What is -602... | {
"pile_set_name": "DM Mathematics"
} |
-182/3 + 60. Let r = 13.5 - -76.5. Let i = 78 - r. Which is the third biggest value? (a) m (b) 2/7 (c) i
c
Let t = -1726 + 1828.1. Let l = 102 - t. Suppose -3*c + 5*c + 3*m = -2, 2*c - 4*m - 12 = 0. What is the second biggest value in l, c, 1?
1
Let y = -0.85 - -7.87. Let l = 2.02 - y. Let q be (-35)/(-84) + 1/3. W... | {
"pile_set_name": "DM Mathematics"
} |
- 5*q + v, 0 = -5*a + q - 30. What is x(a)?
18
Let c(h) = 3*h**2 - 2*h - 3. Suppose 5*n = -2*b + 8, 14*b + 4*n - 5 = 11*b. Determine c(b).
2
Let f(d) = 7*d**3 - 11*d**2 - 8*d + 7. Let a(q) = 6*q**3 - 10*q**2 - 8*q + 7. Let y(b) = 6*a(b) - 5*f(b). Let g be 9/((-1)/6*27/(-3)). Calculate y(g).
-5
Let j be 2/4 + (-20)/8 - ... | {
"pile_set_name": "DM Mathematics"
} |
ommon factor of 216 and 783.
27
What is the highest common divisor of 332 and 20?
4
Calculate the highest common divisor of 143 and 22.
11
What is the highest common divisor of 144 and 6096?
48
Calculate the highest common divisor of 38 and 380.
38
What is the highest common divisor of 16 and 9032?
8
What is the highes... | {
"pile_set_name": "DM Mathematics"
} |
0 = -2*j + 6. Suppose 5*f - 80 = -5*o, 2*f - i = -2*f - 2*o. Calculate the remainder when (-154)/(-4) - (-2)/(-4) is divided by f.
12
Let t = -8 + 11. What is the remainder when t*118*4/24 is divided by 30?
29
Let o(i) = 2*i - 4. Let y(a) be the second derivative of 13*a**3/6 + a**2 + 2*a. Calculate the remainder when... | {
"pile_set_name": "DM Mathematics"
} |
is 3 - -452323500?
452323503
In base 8, what is -115 + 45063566?
45063451
In base 12, what is b4 - -48928?
48a20
In base 13, what is -747418 + -5?
-747420
In base 3, what is -222100 - -200220020?
122220220
In base 10, what is 3639146 - 2?
3639144
In base 8, what is -25416 - 145?
-25563
In base 7, what is 1265 - 1566?
-... | {
"pile_set_name": "DM Mathematics"
} |
-0.29 - 0.71. Which is bigger: i or -17?
i
Let k(j) = 3*j**2 - j. Let i be k(1). Let n be i - (-2 - -3)*9. Which is bigger: -1/4 or n?
-1/4
Let f = -47/184 - -3/23. Suppose -1 - 3 = -4*t. Is f < t?
True
Let w = -9 - -4. Let x = -12 - -21. Let l = -10 + x. Which is smaller: l or w?
w
Let l be 4/(-2) - 320/(-162). Which ... | {
"pile_set_name": "DM Mathematics"
} |
= -0.109 - -4.109. Let i = -222 + 1551/7. Let s = 15248/9 + -1694. Which is the fourth biggest value? (a) h (b) 0.4 (c) i (d) s
c
Let q = -3.97494 - 0.02506. What is the third biggest value in q, 4, 5/8, 0.2?
0.2
Let b = -123 + 144. Let o = 0.286 - 3.286. What is the second smallest value in 4, o, b?
4
Suppose 8*g... | {
"pile_set_name": "DM Mathematics"
} |
replacement from uvhu.
1/12
What is prob of sequence ddri when four letters picked without replacement from rrriidiiiiiiidi?
1/546
Three letters picked without replacement from {e: 2, v: 1, j: 1, n: 6, q: 4, f: 4}. What is prob of sequence nfv?
1/204
Calculate prob of sequence ctb when three letters picked without repl... | {
"pile_set_name": "DM Mathematics"
} |
i be u(1). Suppose 4*y - 4 = i. Suppose 4*h - 72 = y. What are the prime factors of h?
19
Let l(g) = 21*g**2 - 14*g + 46. What are the prime factors of l(5)?
3, 167
Suppose i + 0*i - 6 = -2*d, -4*i = d + 11. Let k(n) = 11*n**2 - 2*n + 35. List the prime factors of k(d).
2, 3, 5
Let m(z) = 2*z**2 + z**2 + 11 + z**3 + 1... | {
"pile_set_name": "DM Mathematics"
} |
der when 406445307 is divided by 10?
7
Calculate the remainder when 61000542 is divided by 146.
136
Calculate the remainder when 2306096 is divided by 1003.
199
What is the remainder when 83832 is divided by 41382?
1068
What is the remainder when 3894504 is divided by 133?
131
Calculate the remainder when 14591756 is d... | {
"pile_set_name": "DM Mathematics"
} |
23*z**3 - 19*z + 9*z with respect to z.
69*z**2
Let g(r) be the second derivative of r**4/6 + 1948*r**3/3 - 3749*r**2 - 12*r + 25. Differentiate g(x) wrt x.
4*x + 3896
Let i(g) = 2*g - 1. Let r(s) = 3*s + 84. Let p be 6 + -14*6/12. Let y(w) = p*r(w) - 2*i(w). Find the first derivative of y(m) wrt m.
-7
Let v(d) = d**3 ... | {
"pile_set_name": "DM Mathematics"
} |
?
False
Suppose 6*a - 3*z = 5*a - 109, -z + 381 = -4*a. Let k = a + 217. Is k composite?
True
Is (-133188)/(-110) - (6/(-5) + 1) a composite number?
True
Suppose 0 = 5*z - 2*p + 1369 + 4745, 4*p = -3*z - 3684. Is z/54*6/(-4) a prime number?
False
Let f(b) = -4*b + 13816. Let s be f(0). Suppose 4*k - 2*x = s, 2*k = -3*k... | {
"pile_set_name": "DM Mathematics"
} |
e y(-7). Let c(t) = -t**2 - 2*t + 1. Let p be c(-3). Sort p, r, 3 in decreasing order.
3, p, r
Suppose s + 3 = 2*d, -31 + 33 = -2*s. Let f = -8 - -4. Let y be 2*(-1)/f*-4. Sort y, 5, d in ascending order.
y, d, 5
Let k = -196 + -1. Let u = -1373/7 - k. Let n be (-532)/456 - -1*(-1)/(-1). Sort u, -0.3, n in decreasing o... | {
"pile_set_name": "DM Mathematics"
} |
2/7)*r**(2/9)/r)/(r*r**3*r*r**29) assuming r is positive.
r**(-2146/63)
Simplify (((t/(t/(t/t**(-5/9))))/t)/t*(((t**(1/16)/t)/t)/t)/t)**(-40) assuming t is positive.
t**(3155/18)
Simplify ((q/(q*q*q/q**(-3/2))*q**(-3))**(-3/8))**(2/9) assuming q is positive.
q**(13/24)
Simplify ((f**2/(f/f**(-2/37)))/(f**1*f)**(3/11))*... | {
"pile_set_name": "DM Mathematics"
} |
7, -42739, -43951, -45163, -46375?
-47587
What comes next: -2535, -9158, -20193, -35634, -55475, -79710?
-108333
What comes next: -22714, -21277, -19840, -18403, -16966?
-15529
What is the next term in -6186, -12285, -18310, -24261, -30138, -35941, -41670?
-47325
What is the next term in 1052772, 2105543, 3158364, 4211... | {
"pile_set_name": "DM Mathematics"
} |
tre in millilitres?
21750
What is 698.9043 weeks in days?
4892.3301
What is 5/4 of a millennium in years?
1250
How many millilitres are there in 6/25 of a litre?
240
How many millilitres are there in eleven quarters of a litre?
2750
How many days are there in 3642237.9 minutes?
2529.331875
How many months are there in ... | {
"pile_set_name": "DM Mathematics"
} |
of picking 1 g and 2 v.
3/110
Two letters picked without replacement from bpptfvvbpefp. What is prob of picking 2 p?
1/11
Four letters picked without replacement from eewnfeeeewefvewve. What is prob of picking 1 v, 1 e, and 2 f?
9/1190
Four letters picked without replacement from {k: 3, y: 13}. What is prob of picking... | {
"pile_set_name": "DM Mathematics"
} |
et c(x) = 36*x - 5. Let u(m) = -15*m**2 + 3. Calculate c(u(z)).
-540*z**2 + 103
Let w(h) = -4484788*h**2. Let a(i) = i**2. What is a(w(k))?
20113323404944*k**4
Let m(n) = -10*n. Let x(z) be the first derivative of -1/24*z**4 + 0*z - 5/2*z**2 - 6 + 0*z**3. Let v(u) be the second derivative of x(u). Determine m(v(q)).
10... | {
"pile_set_name": "DM Mathematics"
} |
*x**3/7 + 564*x**2/7 + 19008*x/7 - 62208/7.
4*(x - 3)*(x + 72)**2/7
Suppose 2*c**3 + 24*c**2 + 82*c + 60 = 0. What is c?
-6, -5, -1
Factor 5*i**5 - 60*i**4 + 205*i**3 - 190*i**2 - 180*i + 280.
5*(i - 7)*(i - 2)**3*(i + 1)
What is p in -5*p**4 + 38*p**3 - 101*p**2 + 108*p - 36 = 0?
3/5, 2, 3
Let 2*d**5/3 - 92*d**4/3 + 8... | {
"pile_set_name": "DM Mathematics"
} |
t of g?
6
Let c(z) = -15*z + 11. Let t(b) = 44*b - 32. Suppose -s = s - 34. Let x(f) = s*c(f) + 6*t(f). What is the units digit of x(5)?
0
Suppose -5*i + 22 = -28. Suppose 3*c + 1 - i = 0. Suppose c*u = -6, 4*s + u + 4 = 6. What is the units digit of s?
1
Let i = 14 + -6. Let y(g) = -4*g + 1. Let b be y(i). Let q = b -... | {
"pile_set_name": "DM Mathematics"
} |
ect the terms in -8*t**2 - 8*t**2 + 7*t**2 + 15*t**2 + 13*t**2.
19*t**2
Collect the terms in -10*h - 9 - 15*h - 11*h + 34*h.
-2*h - 9
Collect the terms in 13*b**3 - 37*b**3 + 9*b**3.
-15*b**3
Collect the terms in 37*b**2 - 124*b**2 + 46*b**2 + 44*b**2.
3*b**2
Collect the terms in -5*u - 36*u**2 + 5*u.
-36*u**2
Collect ... | {
"pile_set_name": "DM Mathematics"
} |
104. Determine p(7).
29
Let a(b) = 39*b**3 + 549*b**2 + 48*b + 50. Determine a(-14).
-34
Let g(q) = 32*q**2 + 346*q - 1366. Give g(4).
530
Let j(y) = -4*y**2 + 323*y - 1301. Calculate j(76).
143
Let n(b) = 3*b**3 - 108*b**2 + 901*b - 3162. What is n(26)?
-16
Let h(n) = -45*n**2 + 29*n + 62. What is h(-4)?
-774
Let z(o)... | {
"pile_set_name": "DM Mathematics"
} |
2.
-735 + 3*sqrt(3)
Simplify (-5*sqrt(432))/(sqrt(28)/(sqrt(7)*-2)) - ((sqrt(75) + -1 - -1*sqrt(48)) + sqrt(21)/((sqrt(126)/sqrt(2))/sqrt(9))).
1 + 50*sqrt(3)
Simplify -1*(5 + ((sqrt(539) + -2*sqrt(539)*-1)*-2 - (-5 + (sqrt(539) - (sqrt(539) + 0)) + sqrt(539))*1))**2*4.
-106044 + 3920*sqrt(11)
Simplify (sqrt(1936) + (s... | {
"pile_set_name": "DM Mathematics"
} |
((t/((t*(t/(t**(2/69)/t))/t)/t)*t*t**(-5/6))/(t**(-7)*t*t*t*t/(((t*t**(-31))/t)/t)))**(-17) assuming t is positive.
t**(22525/46)
Simplify t*(t*t**(-2/9))/t*t*t*t*t**8*(t**(-2))**(-17)*(t**1*t*t)**(-14/5)/(t*t/(((t**2/t)/t)/t))**(-2/155) assuming t is positive.
t**(52196/1395)
Simplify ((((s*s/s**3*s)**(-7/5))**(-30))... | {
"pile_set_name": "DM Mathematics"
} |
decimal places.
-14048
Round -178672.3 to the nearest one hundred thousand.
-200000
What is 65203.0787 rounded to the nearest 100?
65200
Round 3433.617484 to the nearest ten.
3430
What is -0.0001417859318 rounded to 5 decimal places?
-0.00014
What is -1717.326349 rounded to the nearest one hundred?
-1700
What is 0.0053... | {
"pile_set_name": "DM Mathematics"
} |
(sqrt(176) + 3*sqrt(176) + -3)))**2 + (4*sqrt(176) + -5 - (sqrt(176) + -2 + 3 + sqrt(176))**2).
-2160*sqrt(11) + 56539
Simplify ((-1 + sqrt(153)*-3 - (3 + sqrt(153) + sqrt(153))*3) + 0 + -1)**2*-2.
-25028 - 1188*sqrt(17)
Simplify ((-6*5*sqrt(468) + sqrt(468))*4)**2 - (sqrt(78)/(sqrt(36)/sqrt(6)) + -5 + (sqrt(13) + -2 ... | {
"pile_set_name": "DM Mathematics"
} |
k + 2763
What is the f'th term of -45329, -45480, -45615, -45728, -45813?
f**3 + 2*f**2 - 164*f - 45168
What is the b'th term of 8094434, 16188869, 24283304, 32377739, 40472174?
8094435*b - 1
What is the p'th term of -6932, -7274, -7618, -7964, -8312, -8662?
-p**2 - 339*p - 6592
What is the y'th term of -216630051, -21... | {
"pile_set_name": "DM Mathematics"
} |
be (-26)/(-6) + 3/(-9). Let d(o) = l*o - 5*o + 3*o. Give d(f).
-4
Let l(p) be the second derivative of p**5/20 + p**4/12 - p**3/3 - 3*p**2/2 + 17*p. Give l(-2).
-3
Let q(w) = 2 + 2*w**2 - 3*w**2 - w**2. Suppose 4*m - 2*m = -4. Determine q(m).
-6
Suppose 3*y + h = -2*y + 14, -3*y = -h - 2. Let b(p) = 4*p + 2. Let i(t) =... | {
"pile_set_name": "DM Mathematics"
} |
rom bggbbbc.
0
What is prob of picking 2 c, 1 x, and 1 y when four letters picked without replacement from {p: 2, c: 6, y: 3, x: 1}?
1/11
Three letters picked without replacement from qeneqeqeeeeeqeqeqee. What is prob of picking 1 n and 2 q?
5/323
Three letters picked without replacement from {z: 3, o: 6, d: 2, q: 1}. ... | {
"pile_set_name": "DM Mathematics"
} |
d 453058?
718
What is the highest common factor of 1598984 and 568?
8
What is the greatest common divisor of 13 and 53884883?
13
What is the greatest common factor of 96 and 14704192?
32
What is the greatest common divisor of 133 and 7363279?
133
What is the greatest common factor of 13669217 and 12952?
1619
Calculate ... | {
"pile_set_name": "DM Mathematics"
} |
w**(3/2)
Simplify (((q/(q/(q*q*q/q**(-9))*q*q)*q*q)/(q*q**(3/4)))**(9/7))**26 assuming q is positive.
q**(4797/14)
Simplify (((n/(n*n/(n*n**(1/2))))/n)/n**(-29))/(n**(31/4)*n/((n*n**(1/24))/n)) assuming n is positive.
n**(475/24)
Simplify (y/((y*y/(y**(-2/15)*y))/y)*y*y/(y*((y/(y*y**(-16)*y*y))/y*y)/y*y))/(y**(-1/7)*y*... | {
"pile_set_name": "DM Mathematics"
} |
6*p**3 - 1 to m*p**3 + c*p**2 + n + r*p and give m.
-848
Rearrange (-2 + q + 2)*(-4 - 3 - 2)*(-5 - q**3 + 5) + (-5*q - q + 3*q)*(-q**3 + 3 - 3) to the form n*q**3 + t*q**2 + j + r*q**4 + k*q and give r.
12
Express (-8*t**3 + 3*t**3 + 0*t**3)*(89 + 0*t - 87 + 7*t) as o*t**3 + y*t**4 + m + h*t + d*t**2 and give y.
-35
E... | {
"pile_set_name": "DM Mathematics"
} |
4
Expand (n - 3*n + n)*((6 - 4 - 1)*(6 - 5 - 3) + 3 - 3 + 2 - 2 + 1 - 1 + 3 - 1 - 1)*(1 - 1 - 2*n).
-2*n**2
Expand -2*t**5 - t**5 + 5*t**5 + 3*t - 3*t - 2*t**5 + t**5 + t**5 + 0*t**5 - 3*t + t**5 + 3*t + (0*t + 0*t - t**4)*(1 - t - 1) + 10*t**5 - 3*t**5 - 4*t**5.
7*t**5
Expand -h**3 + 0*h**3 - h**3 + (-5*h**2 + 2*h**2 ... | {
"pile_set_name": "DM Mathematics"
} |
m ikiikiikikkllkiii.
3/85
Three letters picked without replacement from {m: 4, q: 2, j: 1, c: 1, y: 1, p: 3}. What is prob of sequence qqj?
1/660
Three letters picked without replacement from qtmqqquqtmmqmqtmnn. What is prob of sequence muq?
35/4896
Three letters picked without replacement from zfaaaasqqqaqaaala. Give ... | {
"pile_set_name": "DM Mathematics"
} |
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