text stringlengths 270 8.19k | meta dict |
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182. Sort l, -1/3, -247 in decreasing order.
l, -1/3, -247
Let y = 589.4 - 589. Sort y, -1/5, 0.06 in descending order.
y, 0.06, -1/5
Let o(x) = 11*x - 7. Let m be o(2). Let z be ((-9)/m)/(3/15). Put z, -2, 1, 4 in ascending order.
z, -2, 1, 4
Let b = 169.27 + -168. Let z = b + -0.27. Put 0.3, -0.07, z, -4 in increasin... | {
"pile_set_name": "DM Mathematics"
} |
0000?
320000
Round 0.1124 to two decimal places.
0.11
What is -0.004 rounded to zero decimal places?
0
What is 536.8 rounded to the nearest 100?
500
Round -224200 to the nearest one thousand.
-224000
What is -466 rounded to the nearest 10?
-470
What is -24871000 rounded to the nearest 100000?
-24900000
Round 0.00021177... | {
"pile_set_name": "DM Mathematics"
} |
+ k*v**2 and give k.
2
Rearrange (-7*y**2 - 5*y**2 - 4*y**2)*(-3 + 0 + 0) to v*y**2 + q + a*y and give v.
48
Express (-2*b + b - b)*(12*b + 16*b - 10*b)*(-4*b + 0*b + 3*b) in the form x + c*b**3 + f*b + l*b**2 and give c.
36
Express x**4 + x**4 + 0*x**3 + 2*x**3 - 2 in the form k + i*x**2 + p*x + v*x**3 + u*x**4 and gi... | {
"pile_set_name": "DM Mathematics"
} |
number?
False
Suppose 2*f + f = -4*r + 1189, r + 2020 = 5*f. Suppose k = 856 + f. Is k prime?
True
Let l(s) = -44*s**3 + 14*s**2 - 8*s - 25. Is l(-6) prime?
False
Suppose 3*j - 66 = -3*v, -2*j + 4*j + 4*v - 54 = 0. Let o = -100 - j. Let h = o - -266. Is h a composite number?
False
Let r be (-4)/((-12)/3)*2. Suppose -3... | {
"pile_set_name": "DM Mathematics"
} |
(-3))/(((-18)/4)/3).
-2
What is (2*9/(-6))/((-2)/1)?
3/2
Calculate (-30)/4*3/((-45)/10).
5
What is (-9)/(6/(-16)*(-8)/(-2))?
6
Calculate ((-1)/(-6))/((-2)/(-12)).
1
What is the value of (-3*(-2)/42)/(38/(-114))?
-3/7
Calculate 10/((-10)/(-1))*(-2)/(-4).
1/2
What is the value of (-4)/112*2*-2?
1/7
What is (-2)/((26/(-39... | {
"pile_set_name": "DM Mathematics"
} |
= 2*v**3 + 2*v**2 + 5*v - 7. Let d(u) = -4*f(u) - t(u). What is the units digit of d(-8)?
7
Let r(f) = -2630*f - 1365. What is the units digit of r(-9)?
5
Suppose 0 = 5*d - f - 170, -d + 2*f + 25 = -0*f. Suppose 3*i = -7*i + 590. Let a = i + d. What is the tens digit of a?
9
Let m(h) = -127*h - 36. Let z(g) = -254*g -... | {
"pile_set_name": "DM Mathematics"
} |
t value? (a) -0.1 (b) -563 (c) -0.2 (d) -5
b
Which is the smallest value? (a) 2/9 (b) -5.68 (c) -5/7 (d) 0 (e) -2 (f) 1/2
b
What is the biggest value in 3010, 4, -5, -1/6?
3010
What is the third biggest value in 1/5, -4/9, -2, -1150, -5, 8?
-4/9
Which is the sixth biggest value? (a) 3 (b) 2/4005 (c) 5/2 (... | {
"pile_set_name": "DM Mathematics"
} |
5, -1, -266
Put 3, -2, -33, -19, 5 in ascending order.
-33, -19, -2, 3, 5
Put -1, -197, -4, 4, -2 in decreasing order.
4, -1, -2, -4, -197
Sort 2/73, 17, 64 in decreasing order.
64, 17, 2/73
Sort -4, 0, 15, 1367, 2, 1.
-4, 0, 1, 2, 15, 1367
Put -0.29, 1299, 0.1, -5, 0.3 in increasing order.
-5, -0.29, 0.1, 0.3, 1299
So... | {
"pile_set_name": "DM Mathematics"
} |
-3, 3, -15775623?
3
Which is the third biggest value? (a) -3 (b) -5/2 (c) -7/122 (d) 1/2 (e) -5 (f) 5 (g) 3/5
d
Which is the fifth biggest value? (a) 389 (b) 0.55 (c) -0.01 (d) -1 (e) -0.5
d
Which is the third biggest value? (a) -3 (b) 0.02 (c) 77 (d) -4 (e) 0.5 (f) -781
b
What is the third smallest v... | {
"pile_set_name": "DM Mathematics"
} |
termine k(0).
162
Let o(f) = f**2 - 1092*f + 6519. What is o(6)?
3
Let a(k) = 157*k - 31233. What is a(199)?
10
Let v(l) = 2*l**3 - 44*l**2 + 96*l - 41. Calculate v(2).
-9
Let i(w) = -605*w - 4815. Give i(-8).
25
Let u(q) = 4*q**2 - 14*q + 15. What is u(-4)?
135
Let k(b) = 29*b**2 + 322*b + 11. Give k(-11).
-22
Let t(c... | {
"pile_set_name": "DM Mathematics"
} |
alculate the remainder when o is divided by 9.
7
Suppose k - 16 = -4*r, -4*k - 20 = -3*r - 2*r. Suppose 2*a = 5*o + 51, -r*a + 4*o = a - 102. What is the remainder when 34 is divided by a?
16
Suppose 0*o + 3*o - 195 = 0. Let r = o + -30. What is the remainder when r is divided by 11 - (0 + 1 + -2)?
11
Let z(r) = 0*r**2... | {
"pile_set_name": "DM Mathematics"
} |
What is the second smallest value in -1, -4, 0.025, j, -1/3?
-1
Let h = 27921 - 4271351/153. Let s = h + -32/9. Let o = -7/11 + 85/99. Which is the third biggest value? (a) 3/5 (b) -3/17 (c) s (d) o
c
Let j = -21271 + 191251/9. Which is the smallest value? (a) 2 (b) 0.1 (c) j
c
Let r = -10 - -6. Suppose 61*f + ... | {
"pile_set_name": "DM Mathematics"
} |
(b) -1 (c) 1/12 (d) -2.5 (e) 3/4
b
What is the second biggest value in 1, -1/3, 1244, -7/12, 1/6?
1
Which is the second biggest value? (a) -2 (b) 24 (c) 18/19 (d) 0.4 (e) -0.02646
c
Which is the third biggest value? (a) -1/8 (b) -13/3412 (c) 1 (d) 2 (e) -4 (f) 3 (g) -2/3
c
What is the second smallest va... | {
"pile_set_name": "DM Mathematics"
} |
e 59*u - 56*u + s - 94 = 0, 0 = -5*u + 2*s + 142. Calculate the lowest common multiple of 165 and u.
330
Let k be 2/(-8)*-10*2. Suppose -k*p + 36 = -29. What is the lowest common multiple of -5*(-77)/140*4 and p?
143
Let h = -12 + 15. Suppose -w + 2*k = -5*w + 48, 0 = -h*w + 2*k + 29. What is the common denominator of ... | {
"pile_set_name": "DM Mathematics"
} |
t d(z) = 543*z - 136. Let l be d(-22). Let q = l - -43851. Is q composite?
False
Is (144550 + 47)/(4 - 1) composite?
True
Let o = -80 + 82. Suppose j = -4*b + 4234, o*b + b = -j + 3175. Is b a composite number?
True
Let s be (-1992)/(18/12*1). Let f = -787 - s. Is f a prime number?
True
Let a be (-56)/21*36/(-16). Supp... | {
"pile_set_name": "DM Mathematics"
} |
fourth root of 28278 to the nearest integer?
13
What is the square root of 122197 to the nearest integer?
350
What is the cube root of 14431 to the nearest integer?
24
What is 1205 to the power of 1/2, to the nearest integer?
35
What is the seventh root of 5132 to the nearest integer?
3
What is 2402 to the power of 1/... | {
"pile_set_name": "DM Mathematics"
} |
Which is the second biggest value? (a) 10 (b) 5 (c) 0.3 (d) -1
b
What is the third smallest value in 5, 2/3, 4401/7?
4401/7
What is the smallest value in 1/6, -4/5, -0.2, 0.3, 1/10?
-4/5
Which is the second smallest value? (a) 10 (b) -0.2 (c) 3 (d) 0.07
d
Which is the smallest value? (a) -2 (b) 1 (c) -0.1 ... | {
"pile_set_name": "DM Mathematics"
} |
, 84, 121, 194, 315, 496?
2*l**3 - l + 70
What is the n'th term of -53, -56, -59?
-3*n - 50
What is the s'th term of 24, -83, -360, -891, -1760, -3051, -4848, -7235?
-14*s**3 - s**2 - 6*s + 45
What is the c'th term of 20, 23, 28, 35, 44, 55?
c**2 + 19
What is the g'th term of -324, -305, -250, -141, 40, 311, 690?
3*g**... | {
"pile_set_name": "DM Mathematics"
} |
What is prob of picking 3 l?
7/15
Three letters picked without replacement from wwppwp. What is prob of picking 1 w and 2 p?
9/20
Three letters picked without replacement from mlmctve. What is prob of picking 1 c, 1 v, and 1 t?
1/35
Three letters picked without replacement from eefauu. Give prob of picking 2 e and 1 f.... | {
"pile_set_name": "DM Mathematics"
} |
3*v**6 - v**6 wrt v.
-1680*v**3
Let t(f) be the third derivative of 221*f**4/24 - 148*f**3/3 + 332*f**2. Differentiate t(x) wrt x.
221
Suppose -5*j + 105 = 5*u, -8*j + 5*u + 105 = -3*j. What is the second derivative of 18*n**4 - 23*n - j*n**4 + 37*n**4 wrt n?
408*n**2
Let m be 1 - -8 - (13 + -10). What is the third der... | {
"pile_set_name": "DM Mathematics"
} |
205/43 and -74 have the same value?
False
Is 107040 equal to 2033754/19?
False
Is 113029 > 113029?
False
Which is greater: -1.53926 or -0.2?
-0.2
Is -51 at most as big as -7402/145?
False
Which is bigger: -35 or -2934/83?
-35
Is -433786 > -433786?
False
Is 5/12 at least 2133?
False
Which is smaller: -1 or 204387?
-1
Wh... | {
"pile_set_name": "DM Mathematics"
} |
te the remainder when 231 is divided by m(-6).
15
Suppose -2*f = -3*i, f + 4 = 5*f - 5*i. Let q(a) = -12*a**2 - 4*a - 2. Let k be q(-2). Let w = f - k. Calculate the remainder when w is divided by 13.
9
Let g(o) = 2*o**2 - o - 1. Suppose -10*w + 72 = -48. What is the remainder when g(-4) is divided by w?
11
Suppose 0 =... | {
"pile_set_name": "DM Mathematics"
} |
ger: -2/3 or -84?
-2/3
Is -0.0257 <= 0?
True
Is -1/3 != -666?
True
Which is smaller: 0 or 1/1245?
0
Are -0.83 and 0.02 equal?
False
Is -0.241 > -0.13?
False
Is 3.3 <= 0.08?
False
Which is bigger: 1 or 1/3210?
1
Do 66 and 66 have different values?
False
Which is greater: 0.229 or 2/17?
0.229
Which is greater: -124 or -1... | {
"pile_set_name": "DM Mathematics"
} |
(-34). Let b = 557/5 + q. Is -7 > b?
False
Let v = 70 + -31. Let c = v + -33. Is 0.2 greater than c?
False
Suppose t = -6*t - 84. Let s be t/36*(-1797)/(-1). Let g = -7791/13 - s. Is 0 <= g?
False
Let l = 4.39 + -4.5. Let o = l - -0.31. Are 0.1 and o equal?
False
Let p = 15 + -14.9. Let i = -8.8 - p. Let s = -9 - i. Is... | {
"pile_set_name": "DM Mathematics"
} |
j**2 - 3. Let p(z) be the third derivative of y(z). Let q(l) = l**2. What is p(q(v))?
-v**2
Let y(s) = -10*s - 9. Let j(t) = t + 1. Let v(o) = -18*j(o) - 2*y(o). Let h(n) be the second derivative of -n**4/6 - 157*n. Determine h(v(m)).
-8*m**2
Let t be (-25)/(-10) - 273/126. Let w(h) be the first derivative of 0*h - 5 +... | {
"pile_set_name": "DM Mathematics"
} |
*((-128)/12)/8.
16/7
Calculate (12/14)/(30/16*((-25012)/(-1820))/37).
16/13
What is the value of (4/(-7))/((-232)/(-354032)*109)?
-8
What is 55*(2356/1520)/(-31)?
-11/4
Calculate (-58)/(-290)*11/121*-3.
-3/55
What is the value of 7/2*((-48)/(-30))/((-5040)/(-300))?
1/3
(-16)/(-14)*(98/210)/(1/(-5))
-8/3
What is ((-7)/(... | {
"pile_set_name": "DM Mathematics"
} |
the third derivative of t**4/12 - 4*t**3/3 - 3*t**2. Let g be p(5). Solve g*i + 7 = -3 for i.
-5
Let y(x) = -x**3 + 35*x**2 + 34*x + 72. Let b be y(36). Let n be -1 - (0 - (82 + -1)). Suppose b*v + 4*v = n. Solve -3*q = q + v for q.
-5
Suppose 5*u = -5*i + 55, -u + 3*i + i = -31. Solve -19 + u = 4*p for p.
-1
Let n(o) ... | {
"pile_set_name": "DM Mathematics"
} |
erms in -11*n + 0 - n + 0.
-12*n
Collect the terms in 120*d**2 + 120*d**2 - 362*d**2 + 123*d**2.
d**2
Collect the terms in -7*i**3 - 19*i**3 + 7*i**3 - 6*i**3.
-25*i**3
Collect the terms in 348 + 349 + 349 - 7*l**3 - 1046.
-7*l**3
Collect the terms in 9*i + i - 13*i.
-3*i
Collect the terms in -44*g + 19*g + 17*g.
-8*g
... | {
"pile_set_name": "DM Mathematics"
} |
common multiple of 1926 and 14124.
42372
Find the common denominator of -43/2280 and 161/570.
2280
What is the least common multiple of 50787 and 321651?
964953
What is the least common multiple of 30 and 228306?
1141530
Calculate the common denominator of 29/6318 and 49/1020.
1074060
What is the smallest common multip... | {
"pile_set_name": "DM Mathematics"
} |
and r.
4
Let c = -24 - -26. Suppose 7 = -g - 4*y, -2 = -0*g + c*g + 5*y. Calculate the highest common divisor of g and 63.
9
Let j(z) = z**3 - z**2 + z - 1. Let f be j(2). Suppose 5*h = -d + 6*d + 215, f*h = -3*d - 113. Let p = 86 + d. What is the greatest common factor of p and 15?
15
Let k be (4 - 1) + -1 + 3. What i... | {
"pile_set_name": "DM Mathematics"
} |
What is the g'th term of 12598, 25227, 37856, 50485?
12629*g - 31
What is the f'th term of -163, -369, -617, -907, -1239, -1613?
-21*f**2 - 143*f + 1
What is the a'th term of 3845, 7615, 11385, 15155?
3770*a + 75
What is the d'th term of 2380, 2525, 2670, 2815, 2960?
145*d + 2235
What is the d'th term of -18262, -7355... | {
"pile_set_name": "DM Mathematics"
} |
nd 19 have the same value?
True
Which is smaller: -2734/5 or -548?
-548
Is -15 greater than -53?
True
Which is bigger: 1627 or 2/3?
1627
Which is bigger: -476 or -477?
-476
Which is greater: 1 or -1306?
1
Which is smaller: -8/9 or -2.1?
-2.1
Which is bigger: 635 or 637?
637
Which is bigger: -2/3 or -968?
-2/3
Which is ... | {
"pile_set_name": "DM Mathematics"
} |
Let w = 10/3 - 11/3. What is the nearest to w in 2, -2, -0.5?
-0.5
Let x = 0.05 - 5.05. Let w be 2*(-2)/(-4) - 2. Let r be -1 + w + -1 + 2. Which is the closest to r? (a) -2/5 (b) 0.5 (c) x
a
Let p = -362 - -363. Let g = -3.2 + -0.8. Which is the nearest to p? (a) -2/11 (b) 2/7 (c) g
b
Let n be 10/45 + 86/18. Su... | {
"pile_set_name": "DM Mathematics"
} |
(11) + (1 + sqrt(19))*-6)**2).
192*sqrt(19) + 2240
Simplify 6*((sqrt(21)/sqrt(343))**2 - (sqrt(75) + -5)**2)*2.
-58764/49 + 600*sqrt(3)
Simplify ((sqrt(68) + sqrt(68)*1 - sqrt(187)/(sqrt(11)*3))*-3*4)**2.
32912
Simplify sqrt(52) + (sqrt(52) + -4 + -4 - sqrt(52)) + (5 + sqrt(468))**2 + sqrt(52).
64*sqrt(13) + 485
Simpli... | {
"pile_set_name": "DM Mathematics"
} |
08) + sqrt(1008)*2 + sqrt(1008) + -3 + -2.
-5 + 48*sqrt(7)
Simplify (2*sqrt(90))/((6*2*sqrt(2) - sqrt(2) - sqrt(2) - sqrt(2) - sqrt(2)) + sqrt(2) - sqrt(2) - sqrt(2))*-2.
-12*sqrt(5)/7
Simplify -4 + 1*sqrt(147) + -1.
-5 + 7*sqrt(3)
Simplify ((sqrt(2448) + (sqrt(2448)*3 - sqrt(2448)))**2 + sqrt(2448))*-5.
-110160 - 60*s... | {
"pile_set_name": "DM Mathematics"
} |
eplacement from kiikkkik. Give prob of picking 2 i and 1 k.
15/56
Two letters picked without replacement from wbwqqqwbww. What is prob of picking 1 q and 1 b?
2/15
Four letters picked without replacement from {x: 6, o: 6}. What is prob of picking 1 o and 3 x?
8/33
Four letters picked without replacement from {w: 5, e: ... | {
"pile_set_name": "DM Mathematics"
} |
l a composite number?
False
Let s = -3 - -21. Let h = -3 + s. Is h a composite number?
True
Let s(h) = -h**2 - 21*h - 19. Is s(-11) a composite number?
True
Let y = 8 - 5. Is (89/y)/(1/3) composite?
False
Let g = -56 + 129. Let q = -35 + g. Is q prime?
False
Let y(d) = -2*d - 6. Suppose 6*s = 3*s + 9. Let l be (s - (3 ... | {
"pile_set_name": "DM Mathematics"
} |
ly 3.88 and 0.39.
1.5132
Work out 101.056 * 2.4.
242.5344
Product of 24196 and -0.16.
-3871.36
-0.4 times 0.324
-0.1296
What is the product of 884 and 0?
0
-0.5*25.27
-12.635
Calculate -8.69617*0.06.
-0.5217702
What is -7.307 times 0.074?
-0.540718
What is 4 times -0.27563?
-1.10252
What is -104 times 58?
-6032
Product... | {
"pile_set_name": "DM Mathematics"
} |
ivided by -3836970?
-5
Calculate -192362856 divided by -6.
32060476
Divide 11689909 by -11.
-1062719
670115106 divided by -4136513
-162
1458503 divided by 3
1458503/3
What is 6 divided by -490592?
-3/245296
Divide 5001311 by 14413.
347
-1836 divided by 1033
-1836/1033
423 divided by -39906
-47/4434
-3225394 divided by ... | {
"pile_set_name": "DM Mathematics"
} |
-72. Solve 17 = x + 2*c + 4, x + a*c - 21 = 0 for x.
5
Let q(k) = k**3 - 9*k**2 - 2*k + 8. Let s be q(8). Let g = s + 86. Solve -2*y + 5*n = 2*y + g, 4*n - 8 = 0 for y.
-1
Let m be 2/(4/22)*3. Let z = m + -13. Let w be -1*1*(-11 - -10). Solve z = -4*l, 3*i + 22 = -4*l - w for i.
-1
Suppose -10 = -3*j - 4. Let c be (2 -... | {
"pile_set_name": "DM Mathematics"
} |
i)**(1/26)*((i*i**1/i*i)/i)**(-1/4)*(i/i**(-2/3))**(-2/19) assuming i is positive.
i**(4819/2964)
Simplify (h/(h**28*h)*h**(2/45)*(h/(h*h**(-1/29)))/(h**(-5/8)*h))**(-36) assuming h is positive.
h**(295411/290)
Simplify (n**6/n**(-21))/(n**(-7/2)*n*n*(n/(((n**8*n*n)/n)/n)*n)/n) assuming n is positive.
n**(71/2)
Simplif... | {
"pile_set_name": "DM Mathematics"
} |
f is positive.
f**(426/5)
Simplify (((b*b*b*b**(-26))/b**(-2/5))**(10/3))**(2/47) assuming b is positive.
b**(-452/141)
Simplify (d/d**(2/13)*d/(d**(-2/13)*d*d)*(d**2)**(-1/4))**28 assuming d is positive.
d**(-14)
Simplify (w/(w**(-2/67)*w)*w**(-1/10)/w)/(w**(1/12)*w**30) assuming w is positive.
w**(-125237/4020)
Simpl... | {
"pile_set_name": "DM Mathematics"
} |
r(1). Is 289 - l*3/12*0 a prime number?
False
Suppose 82 = 2*p + 90. Let d(f) = -300*f**3 - 6*f**2 + 4*f - 9. Is d(p) composite?
False
Let d(m) = 14*m**3 + 9*m**2 + 231*m - 32. Is d(26) a composite number?
True
Let n(p) = -6*p**3 - 14*p**2 - 88*p - 13. Is n(-14) composite?
False
Let s = -57995 + 416554. Is s a composi... | {
"pile_set_name": "DM Mathematics"
} |
3*q**2 + 6. Let w(v) = -1. Let g be -2 - 0 - 1 - -4. Let h(l) = g*s(l) + 6*w(l). Give h(m(f)).
27*f**2
Let k(t) = 2*t**2. Let l(c) = -2*c**2 + 63*c. Give l(k(i)).
-8*i**4 + 126*i**2
Let i(q) be the second derivative of q**4/12 - 5*q. Let h(f) = 9*f - 4. Let b(m) = -9*m + 5. Let s(g) = -4*b(g) - 5*h(g). What is i(s(k))... | {
"pile_set_name": "DM Mathematics"
} |
+ 2*d**2. What is p(6)?
9
Let f be ((-205)/123)/(2/6). Suppose i + 0 = -4. Let b(d) = -d**2 - d + 1. Let n(a) = a**3 + 8*a**2 + 3*a + 2. Let w(r) = i*b(r) - n(r). Give w(f).
14
Let m(n) = -20*n + 1. Let o(s) = 11*s - 1. Let v(w) = 3*m(w) + 5*o(w). What is v(-2)?
8
Let t = 41 - 31. Let q(i) = i + 1 + t - 8. Determine q(... | {
"pile_set_name": "DM Mathematics"
} |
nd the common denominator of 25/4 and 1/(i/(-135)) - -1.
44
Let y be (-87490)/1224 + 1/(-4). Let s be 1/(-1) + (-5875)/(-85). Let u = s + y. What is the common denominator of u and 35/4?
36
Let m(b) = -b**3 + 8*b**2 - 6*b. Let s be -3 - (3 + -3 + -10). Calculate the smallest common multiple of m(s) and 11.
77
Let j(w) ... | {
"pile_set_name": "DM Mathematics"
} |
10:39 PM?
3:59 AM
What is 573 minutes after 12:57 PM?
10:30 PM
How many minutes are there between 6:45 AM and 11:45 AM?
300
How many minutes are there between 8:55 AM and 11:02 AM?
127
What is 524 minutes after 11:04 AM?
7:48 PM
How many minutes are there between 7:09 AM and 8:18 AM?
69
What is 420 minutes before 6:24 ... | {
"pile_set_name": "DM Mathematics"
} |
prime number?
False
Is 49771429 composite?
False
Is 55949 composite?
False
Is 70125203 a prime number?
False
Is 4714657 composite?
False
Is 1179031 composite?
True
Is 1095373 composite?
True
Is 1018841 composite?
True
Is 148197941 a prime number?
False
Is 11665469 composite?
True
Is 127445767 a prime number?
True
Is 1... | {
"pile_set_name": "DM Mathematics"
} |
8*s for s.
0
Solve -27 = 11*l + 17 for l.
-4
Solve 12*o + 2*o = 28 for o.
2
Solve -15*g + 14*g = -5 for g.
5
Solve -72 - 24 = 12*m for m.
-8
Solve 0 = z - 0*z - 3 for z.
3
Solve -524*x = -523*x + 2 for x.
-2
Solve -10*g + 24 = -2*g for g.
3
Solve 71 = q + 67 for q.
4
Solve -20 = 8*z - 4 for z.
-2
Solve 0 = 4*x - 70 + 6... | {
"pile_set_name": "DM Mathematics"
} |
75. Let v = w - h. What is the common denominator of v and -13/14?
56
Let j = 52 + -47. Calculate the smallest common multiple of 31 and j.
155
Let t(x) = x**2 + 4. Let w be -2*21/30*-5. Let d = 13 + w. Calculate the least common multiple of t(-4) and d.
20
Let u(p) = 3*p**2 - 6*p. What is the common denominator of 55/... | {
"pile_set_name": "DM Mathematics"
} |
). What is the closest to -2 in 0.4, 4, 1/5, t?
t
Let m be 6 - 7/((-7)/(-2)). Suppose -5*p + g + 3 = -m, -13 = p - 5*g. Suppose p + 18 = 4*n. What is the nearest to 1 in n, -4, -2/13?
-2/13
Suppose 3*d + 8 = -g, -30 = 3*d + 2*d + 5*g. Let q = -1.37 - -1.37. Let h = -0.9 + -3.1. Which is the closest to q? (a) d (b) 2 ... | {
"pile_set_name": "DM Mathematics"
} |
(8)))**2.
2475
Simplify -3 + sqrt(288)*-1 - (4*sqrt(10)/sqrt(5) + 2).
-16*sqrt(2) - 5
Simplify ((sqrt(156) + -2*sqrt(156))*4 - sqrt(156) - sqrt(156)*1*-5)/((sqrt(588) - (sqrt(588) + sqrt(588)*-2)) + (-2*sqrt(132))/sqrt(11)).
0
Simplify -2 + -5*(1 + 3 + 2*sqrt(475)).
-50*sqrt(19) - 22
Simplify (3 + 3 + (sqrt(637) - (sqr... | {
"pile_set_name": "DM Mathematics"
} |
for a.
-4
Solve 3*s - 2*q = s - 10, 5*q = 15 for s.
-2
Solve 2*i + 14 = -2*j, -i + 20 = -5*j - 3*i for j.
-2
Solve -y = -131*p + 128*p + 1, 5*y = -3*p - 5 for y.
-1
Solve -2*a - y - 9 = 2*y, 3*y = -4*a - 15 for a.
-3
Solve -4*r = g + 3*g, 0 = -2*r - 6 for g.
3
Solve 9 + 1 = -2*x, f - 8 = 2*x for f.
-2
Solve 0 = p + 20... | {
"pile_set_name": "DM Mathematics"
} |
6243 + 29978. What is the smallest common multiple of 162 and m?
67230
Suppose -40 = 9*y - 130. Let d(p) = 7*p - 5. Let h be d(y). Suppose 55 = 4*w - v, -2*w + v - h = -6*w. Calculate the least common multiple of 11 and w.
165
What is the common denominator of 65/1008 and 31/((-33480)/(-3296))*12/(-448)?
5040
Calculate... | {
"pile_set_name": "DM Mathematics"
} |
.
-2
Solve 0*v - 2*l + 13 = v, 5*v - 35 = -4*l for v.
3
Solve 2*m + 12 = -l, 90*l = 5*m + 93*l + 32 for m.
-4
Solve -1 = k, a + 7*k = 6*k + 1 for a.
2
Solve -13*p + 16*p - 7 = -5*b, 4*b = 3*p - 16 for b.
-1
Solve -2*x - 5*v - 38 = -17, -3*x - 18 = 3*v for x.
-3
Solve -26*h = -3*m - 23*h - 27, 5*m - 4*h + 43 = 0 for m.
... | {
"pile_set_name": "DM Mathematics"
} |
/693)
Simplify (((z/(z/(z*z*((z/z**1)/z*z*z)/z)))**38)**0)**(-3/22) assuming z is positive.
1
Simplify ((q*(q*(q*(q/(q*q*q**(-2/69)))/q*q)/q)/q)**(-24))**(2/25) assuming q is positive.
q**(-32/575)
Simplify (b*b**(3/17)*b*b*b)/(b/(b*(((b*b*b**(-21))/b)/b)/b))*(b**(-4/5))**(-11/4) assuming b is positive.
b**(-1328/85)
S... | {
"pile_set_name": "DM Mathematics"
} |
*h = 7*h. Solve -6*k + 4*k + 6 = h for k.
3
Suppose 95*j - 12 = 93*j. Suppose -7*f = -j*f - 4. Solve s + 6 = f*s for s.
2
Let j be 31/7 + ((-1600)/140 - -12). Suppose h = 5*h - 24. Solve j*v - 1 + h = 0 for v.
-1
Let a(k) = k**3 - 8*k**2 + 3*k - 11. Let t be a(8). Suppose 10*b - t*b = -6. Solve -j - b = -4 for j.
2
Let... | {
"pile_set_name": "DM Mathematics"
} |
14) to base 10
-289134
Convert 492013 (base 12) to base 3.
2020020002120
-1000000010010000111 (base 2) to base 10
-263303
What is 53402003 (base 6) in base 16?
17f973
310125506 (base 7) to base 16
114d151
Convert -1200476 (base 8) to base 5.
-40443443
Convert -ac09 (base 14) to base 13.
-10745
Convert -542462 (base 10... | {
"pile_set_name": "DM Mathematics"
} |
h**4 + 3*h + 0 + 1/30*h**l. Differentiate m(p) wrt p.
4*p**3
Let i = 1 - -3. What is the second derivative of -2*f - 3*f**i + 4*f**4 - 2*f**4 - 2*f wrt f?
-12*f**2
Let q(m) be the third derivative of m**6/120 - 7*m**3/6 - 20*m**2. What is the derivative of q(z) wrt z?
3*z**2
Find the second derivative of -125*c + 0*c**... | {
"pile_set_name": "DM Mathematics"
} |
e nearest to 1/4? (a) v (b) r (c) -1/11
b
Let g = 5.7 + -6. What is the nearest to g in 0.5, 2/5, 5?
2/5
Let g = 0.49 + -0.89. Let i = -1 - -2. Which is the nearest to i? (a) -3 (b) g (c) 1/6
c
Let s = -0.13 - -0.33. What is the nearest to 0 in 0.4, 1/3, s?
s
Let z be (-72)/30 + 1 - 4/(-10). What is the nearest t... | {
"pile_set_name": "DM Mathematics"
} |
ve 3*a - a = -2*h - 2, l*h + 3 = -5*a for a.
1
Suppose 14 = -214*p + 228. Suppose 0 = -2*n + n - 5*v - 17, 20 = -5*v. Solve 0 = -n*w + z + p, w + 16 + 5 = -5*z for w.
-1
Suppose 83*j - 38*j = 180. Solve 3*p - 8 - 8 = n, -j*n = -3*p + 19 for n.
-1
Let y(f) = -f**3 + 10*f**2 - 8*f - 6. Let r be ((-2)/5)/((-3)/(-90)). Let... | {
"pile_set_name": "DM Mathematics"
} |
Is 43 greater than 43?
False
Is -0.1 greater than or equal to 55.7?
False
Which is greater: 1 or -1/541?
1
Which is bigger: 1/451 or -1?
1/451
Does -152 = -64?
False
Are 570/31 and 18 equal?
False
Which is smaller: 4/2309 or -1?
-1
Are -38 and -37 non-equal?
True
Which is bigger: -3 or 34?
34
Is 369/68 less than 5?
Fa... | {
"pile_set_name": "DM Mathematics"
} |
**2 - 6*n**2 - 4 + 17*n**d wrt n.
-8*n
Let o(s) be the second derivative of -19*s**5/4 + 143*s**4/12 - 177*s. What is the third derivative of o(c) wrt c?
-570
Let h(c) = -c**3 + 9*c**2 + 5. Let f be h(9). Let d = -2 + f. What is the third derivative of -d + 3 - j**6 - 2*j**6 + 3*j**2 wrt j?
-360*j**3
Let g = -10 - -28.... | {
"pile_set_name": "DM Mathematics"
} |
hout replacement from xpzpyypyppdpzz. What is prob of picking 2 p?
15/91
Four letters picked without replacement from {j: 5, p: 5, x: 2}. Give prob of picking 2 j, 1 p, and 1 x.
20/99
Two letters picked without replacement from {p: 7, s: 2}. What is prob of picking 2 s?
1/36
What is prob of picking 1 w and 1 n when two... | {
"pile_set_name": "DM Mathematics"
} |
*c**2 + 1247*c**2.
-5*c**2
Collect the terms in 2080 - 2080 - 4*l.
-4*l
Collect the terms in -3585 + 1789 + 1796 + 13*y.
13*y
Collect the terms in -v + 17*v + 14*v.
30*v
Collect the terms in -214*f**2 + 109*f**2 + 104*f**2.
-f**2
Collect the terms in -15095 + 15095 + 8*o.
8*o
Collect the terms in x**3 + 2 - 21 - 8.
x**... | {
"pile_set_name": "DM Mathematics"
} |
mes next: -30127, -120116, -270101, -480088, -750083?
-1080092
What comes next: 2755, 8555, 18219, 31747, 49139?
70395
What comes next: -1492641, -1492620, -1492561, -1492446, -1492257, -1491976, -1491585?
-1491066
What is the next term in 4217, 17702, 40467, 72530, 113909, 164622, 224687?
294122
What is the next term ... | {
"pile_set_name": "DM Mathematics"
} |
d 4852201.8 to the nearest one hundred thousand.
4900000
What is -61.70681 rounded to the nearest ten?
-60
Round 0.00000330588 to 7 decimal places.
0.0000033
What is 0.001121421 rounded to 6 dps?
0.001121
Round 5040.09 to the nearest one hundred.
5000
What is 77589000 rounded to the nearest one million?
78000000
Round ... | {
"pile_set_name": "DM Mathematics"
} |
nearest to z? (a) -2 (b) 0.4 (c) r
b
Let w be (12/(-2) + 14)*(2 - 3). Let d be ((-2)/w)/((-2)/(-16)). Which is the nearest to -3? (a) 5 (b) d (c) -4
c
Suppose 2*b + 3*o + 19 = 0, 2*b - 4*o - 2 = -0. What is the closest to -2 in -15, -2/9, -3/7, b?
-3/7
Let u = 55 + -36. Let m = -22 + u. What is the closest to 0.1... | {
"pile_set_name": "DM Mathematics"
} |
*sqrt(17) + 823376
Simplify 2 + ((sqrt(432) + -1*sqrt(432))/sqrt(2))/((sqrt(972) + 2*sqrt(972) + sqrt(972))*-2) + 2.
4
Simplify ((-1*(sqrt(4500) + -2) + sqrt(4500) + (sqrt(4500) - (sqrt(4500) + -1))*6 + sqrt(4500) + -3)*-1 + -5)**2.
600*sqrt(5) + 4600
Simplify ((-5 + 2 + -5*(4*(0 + sqrt(605)) + ((sqrt(605) + 1 + sqrt(6... | {
"pile_set_name": "DM Mathematics"
} |
- 20, 0 = -y - o - 0*o + 4. Sort f, 3/5, 0.5, y in decreasing order.
f, y, 3/5, 0.5
Let p = 1 - -4. Suppose -w + 12 = -p*w. Let n(m) = 379*m - 2655. Let z be n(7). Put -1, w, 0, z in ascending order.
w, z, -1, 0
Let l = -129.89 - -1.89. Let q = l - -127.5. Put -3, 3, -3/32, q in increasing order.
-3, q, -3/32, 3
Let b ... | {
"pile_set_name": "DM Mathematics"
} |
ivide 3655746 by -6.
-609291
-330 divided by -3960
1/12
What is 871 divided by 871?
1
What is -1 divided by -159127?
1/159127
0 divided by 5342
0
Calculate 806 divided by -403.
-2
55504 divided by -2
-27752
Divide -426378 by 2.
-213189
What is -52148 divided by 26074?
-2
What is -10 divided by -434?
5/217
-9060712 divi... | {
"pile_set_name": "DM Mathematics"
} |
+ 550. Let p(a) = -a**3 - 9*a**2 + 2*a - 11. Calculate p(i).
-29
Let i(b) = 2*b**2 + 6*b - 5. Let d be i(2). Suppose 18*n - 13*n = d. Let k(j) = j**3 - 2*j**2 - 5*j + 3. Give k(n).
-3
Let l(v) = -v + 8. Suppose -r - 5*s - 5 = 0, -2*r - 5 = -0*r + 5*s. Suppose -j - 2*j - 2*j = r. Calculate l(j).
8
Suppose -p = p - 6. Le... | {
"pile_set_name": "DM Mathematics"
} |
0. What is the nearest to 2/13 in z, -0.1, -3?
-0.1
Let s = -36 - -36.5. Which is the nearest to -1/4? (a) s (b) -3 (c) -2
a
Let n = -0.1 + 3.1. Let i = 35.6 - 36. Which is the nearest to -0.1? (a) -3 (b) i (c) n
b
Let u be 54/60 + 3/(-2). Let o = 42 - 211/5. Which is the closest to o? (a) u (b) 5 (c) -3/2
a
L... | {
"pile_set_name": "DM Mathematics"
} |
16*b**2 + 0 + 3/8*b**4 - 1/2*b**3 + 0*b + 9/20*b**5. Is a(7) composite?
True
Let d(j) = -53*j - 4. Let y(w) = 109*w + 9. Let n(v) = -9*d(v) - 4*y(v). Suppose 2*s = 8 - 4. Is n(s) composite?
True
Suppose -8*b - 138 = -5*b. Let s = b + 48. Suppose -s*q = -4*q + 1094. Is q composite?
False
Suppose 74*c - 134*c - 994891 =... | {
"pile_set_name": "DM Mathematics"
} |
t + 30*t**2 - 2 + 23*t**2 - 76*t**2. Let m(y) = y**2 + y. Determine 3*m(s) + r(s).
5*s**2 - 3*s - 2
Let s(p) = 2049*p + 4. Let o(h) = 12285*h + 26. Calculate -2*o(x) + 13*s(x).
2067*x
Let q(o) = 72*o**3 - 32*o. Let w(v) = -11*v**3 + 5*v. Let g(u) = u**3 - 27*u**2 + 24*u + 84. Let h be g(26). Give h*w(l) + 5*q(l).
8*l**... | {
"pile_set_name": "DM Mathematics"
} |
.
112
Calculate the least common multiple of 1053 and 351.
1053
Find the common denominator of 145/168 and 10/861.
6888
What is the common denominator of -25/228 and 55/8?
456
Calculate the smallest common multiple of 48 and 420.
1680
Calculate the lowest common multiple of 22 and 4284.
47124
What is the least common m... | {
"pile_set_name": "DM Mathematics"
} |
6)/(10/(-15)). Find the third derivative of 6*c**6 + 4*c**6 - 15*c**6 + 9*c**x wrt c.
-600*c**3
Let v = 8 + -5. Find the second derivative of -q**2 + 4*q - 2*q + 6*q - v*q wrt q.
-2
Let z(r) = 19*r**5 - 12*r**2 - 15*r + 4. Let o(h) = -h**5 - 3*h**2 + 1. Let c(l) = 12*o(l) - 3*z(l). What is the second derivative of c(v)... | {
"pile_set_name": "DM Mathematics"
} |
3/3 - 4*p. What is the second derivative of a(g) wrt g?
-4
Let p(x) = 17*x**3 + 6*x**2 - 44. Let a(o) = 16*o**3 + 5*o**2 - 43. Let k(g) = -6*a(g) + 5*p(g). What is the derivative of k(z) wrt z?
-33*z**2
Suppose 3*t - 2 = -p, p = 2*t - 0*p - 8. Suppose -4*u = 4*r - 24, 0*u + 3*r - 8 = t*u. What is the third derivative o... | {
"pile_set_name": "DM Mathematics"
} |
0 to the nearest one million.
-37000000
What is 0.0325125 rounded to two dps?
0.03
Round 0.044213 to 4 decimal places.
0.0442
Round -0.00000806 to 6 dps.
-0.000008
What is 0.0826 rounded to 2 decimal places?
0.08
Round -648.875 to the nearest one hundred.
-600
Round 146100 to the nearest one hundred thousand.
100000
Wh... | {
"pile_set_name": "DM Mathematics"
} |
3 + 172*x**3 - x - x to the form l + p*x + k*x**3 + s*x**2 and give l.
-1
Rearrange -50 - 4*v**2 + v**2 - 45 - 6*v**3 + 97 - 5*v + 5*v**3 to p + y*v**2 + w*v**3 + i*v and give i.
-5
Rearrange -96*v + 2807*v + 3252*v + 0 + 2 + 2398*v to c*v + l and give l.
2
Rearrange a**3 + 9618*a - 18258*a**2 + 18258*a**2 to y*a**2 + ... | {
"pile_set_name": "DM Mathematics"
} |
next: -395, -2776, -9235, -21812, -42547, -73480, -116651, -174100?
-247867
What is the next term in 2912412, 2912409, 2912408, 2912409?
2912412
What comes next: 140, 606, 1366, 2396, 3672?
5170
What is next in -22668, -45038, -67410, -89784, -112160, -134538, -156918?
-179300
What is the next term in -15157, -11242, -... | {
"pile_set_name": "DM Mathematics"
} |
-3/4?
-3/4
What is the closest to 286 in 2/11, 4/9, 65/2?
65/2
What is the closest to -3/2 in 0.1, 19/8, -0.318, -4, -1/2, -1/7?
-1/2
Which is the nearest to -3? (a) -0.2 (b) 6 (c) -22 (d) 1 (e) 49
a
What is the nearest to -204 in -1/9, -0.5, 0.16, -60?
-60
What is the closest to -27.9 in -1, -5/3, 13?
-5/3
Which... | {
"pile_set_name": "DM Mathematics"
} |
ative of -o**2 + 4439*o - 912.
-2*o + 4439
Find the third derivative of 2*g*k**3*u**2 - 12*g*k**3 - g*k**2*u**2 - 2*g*k**2*u + k**5*u - 11*u**2 - 2*u wrt k.
12*g*u**2 - 72*g + 60*k**2*u
Find the second derivative of 8*k**3*l**4 - 3*k**3 - 8*k**2*l - 5*l**4 wrt l.
96*k**3*l**2 - 60*l**2
Find the second derivative of 212... | {
"pile_set_name": "DM Mathematics"
} |
v(z(x)).
-7*x**2
Let q(v) = -3*v. Let k(x) = -3*x**2 - 98*x. Determine q(k(w)).
9*w**2 + 294*w
Let s(i) = i**2. Let m(b) be the first derivative of b**2/2 + 8*b - 3. Let g(d) = -3. Let p(h) = 8*g(h) + 3*m(h). Give s(p(j)).
9*j**2
Let f(d) = -d. Let t(b) be the first derivative of 25*b**2/2 - 9. What is t(f(p))?
-25*p
... | {
"pile_set_name": "DM Mathematics"
} |
= -o - u. Suppose -3*b = -0*b. Solve -m + o*m - 5 = b for m.
-5
Suppose 0 = -2*i + 10*i - 16. Solve -i*x - 13 = -3 for x.
-5
Suppose 0*h - 2 = 3*h + 5*c, 0 = 2*h - c - 16. Suppose s - h = -0*s. Let d be s/(-2 - 46/(-20)). Solve 8*p - d = 3*p for p.
4
Suppose -m = 2*f + 1, -2*m - 3 = -3*f - 1. Solve f = -4*y - 2 - 2 for... | {
"pile_set_name": "DM Mathematics"
} |
/20*-2)/(11/j). Let n(u) = u**2 - 4*u + 5. Give n(t).
17
Let g be (-10)/4*(-66)/55. Suppose 3*l - 2*o - 25 = 26, g*o - 66 = -5*l. Let c(m) = 2*m + 7*m**2 + 0 - m**2 + 1 - l*m**2. Determine c(-1).
-10
Let w(b) = -3*b + 5*b + 0 - 10*b**3 - 13 - 17*b**2 - 4*b**3. Let y(l) = 7*l**3 + 8*l**2 - l + 6. Let h(m) = 6*w(m) + 13*... | {
"pile_set_name": "DM Mathematics"
} |
25 = 5. Let x(s) = -s**2 + 5*s + 4. Determine x(y).
8
Let b(g) = 4*g**3 - 5*g**2 - 6*g - 4. Let k(q) = -5*q**3 + 5*q**2 + 7*q + 4. Let i(t) = 6*b(t) + 5*k(t). What is i(-5)?
1
Let b(p) be the first derivative of p**6/360 + p**5/60 + p**4/12 + 2*p**3/3 + 1. Let x(q) be the third derivative of b(q). Determine x(-4).
10
L... | {
"pile_set_name": "DM Mathematics"
} |
(d) 19 (e) -2/15
e
Which is the fourth biggest value? (a) 1 (b) 2 (c) 2/7 (d) 15.2
c
Which is the smallest value? (a) -0.3 (b) -3/7 (c) -0.5 (d) -1 (e) 54/19 (f) -7
f
What is the biggest value in -1.154, -6, -10?
-1.154
What is the biggest value in 2, 0, 0.21, 55, 1/3?
55
Which is the smallest value? (a) 3/... | {
"pile_set_name": "DM Mathematics"
} |
= t - 26 for z.
-5
Suppose 5*f - 2*n = -67, -f - n = 2*f + 49. Let d be (-51)/(-9) - (-10)/f. Solve -d*q = -0*q for q.
0
Suppose 0 = -4*g + 65 + 47. Let d(r) = r**2 + 17*r - 3. Let c be d(-16). Let y = g + c. Solve -3*m = -0*m + y for m.
-3
Let v be (2/(-1))/4*-12. Suppose -f - a = -4*a - 12, 4*a + 12 = 0. Suppose 2*b ... | {
"pile_set_name": "DM Mathematics"
} |
culate the common denominator of -107/4740 and 101/24.
9480
Find the common denominator of -119/8310 and 41/14958.
74790
What is the lowest common multiple of 6072 and 207?
18216
Calculate the common denominator of 155/42 and 38/1599129.
3198258
Calculate the smallest common multiple of 21592 and 64.
172736
What is the... | {
"pile_set_name": "DM Mathematics"
} |
, 2, 121
Suppose 2*p**4/13 + 136*p**3/13 + 220*p**2 + 17864*p/13 + 15138/13 = 0. Calculate p.
-29, -9, -1
Factor 213*b**3 + 15117*b**2 - 426*b.
3*b*(b + 71)*(71*b - 2)
Suppose -y**4 + 1093*y**3 - 7592*y**2 - 10876*y + 17376 = 0. What is y?
-2, 1, 8, 1086
Suppose -g**3 - 394591*g**2 + 789185*g - 394593 = 0. Calculate g.... | {
"pile_set_name": "DM Mathematics"
} |
ment from vqvhvqvvqvhqv.
2/39
Three letters picked without replacement from {i: 7, a: 4}. What is prob of sequence iii?
7/33
Three letters picked without replacement from aaapaxajaajiaiaa. What is prob of sequence xpi?
1/1680
Four letters picked without replacement from mvxgmvvggmgxgxzzvg. Give prob of sequence mxgm.
1... | {
"pile_set_name": "DM Mathematics"
} |
rue
Which is bigger: -2073597 or -2073598?
-2073597
Which is bigger: -360 or -209?
-209
Is -132232 < -132232?
False
Which is smaller: 16 or 45825?
16
Which is smaller: 292/2147 or 0?
0
Which is smaller: -13 or 31/26?
-13
Is -163569 at most -163568?
True
Is 1/3 greater than 5108/51?
False
Which is bigger: 12560 or 12562... | {
"pile_set_name": "DM Mathematics"
} |
x(i) = 0. What is i?
0, 2
Let h(a) be the third derivative of a**8/2240 + a**7/840 + a**4/12 - a**2. Let j(i) be the second derivative of h(i). Solve j(g) = 0.
-1, 0
Let j(t) be the third derivative of 13*t**2 - 1/600*t**5 - 3/5*t**3 + 0 + 0*t - 1/20*t**4. Factor j(f).
-(f + 6)**2/10
Let b(u) = -17*u**5 + 17*u**4 + 20*... | {
"pile_set_name": "DM Mathematics"
} |
232*q**4 - 479*q**4 + 608*q - 13*q**3 - 4 + 225*q**4 + 4 wrt q.
-264*q**2 - 78*q
Suppose -42 = -5*c - 2*c. Suppose c*y + 3*y = 18. What is the third derivative of 147*z + 9*z**y - 147*z - z**2 - 9*z**4 wrt z?
-216*z
Let x(v) = 9*v**2 - 2*v + 2. Let r(g) = 387*g**2 - 11*g + 16. Let m(d) = r(d) - 2*x(d). Differentiate m... | {
"pile_set_name": "DM Mathematics"
} |
east common multiple of 49 and 7070.
49490
Find the common denominator of 35/72 and 107/48.
144
What is the common denominator of -8/39 and -31/52?
156
What is the smallest common multiple of 750 and 270?
6750
Calculate the common denominator of 95/632 and 56/711.
5688
| {
"pile_set_name": "DM Mathematics"
} |
*a - 21, 0 = -x*a - 3*a - 3*r - 3 for a.
-4
Let g = -134 - -78. Let p = g + 60. Solve 3*b + 22 = b + 4*h, 0 = -3*b - p*h + 7 for b.
-3
Suppose -5*h = -4*b - 28, -8*h + 13*h + 4*b = 12. Solve -2*u + 3*a - 3 = 3, -9 = 3*u + h*a for u.
-3
Let s(a) = a. Let q be s(4). Let n be -4*((-15)/q + 1). Let h = 14 - n. Solve 0 = 5*... | {
"pile_set_name": "DM Mathematics"
} |
15*o**2
Let c(m) = -42*m**2 + 15*m. Let f(r) = 23*r**2 - 8*r - 2. Determine -3*c(j) - 5*f(j).
11*j**2 - 5*j + 10
Let h(u) = 3547 + 3546 + 3*u - 7100. Suppose 3*s + s - 40 = 0. Let o(r) be the third derivative of r**4/12 - 2*r**3/3 + r**2. Calculate s*o(j) - 6*h(j).
2*j + 2
Let l(c) = -2027*c**3 + 5*c**2 + 10*c + 15. Le... | {
"pile_set_name": "DM Mathematics"
} |
uppose -138 = -n + 3*b, 4*n - 2*b - 45 = 557. What is the hundreds digit of n?
1
Suppose 5*i + 6*f + 49 = 3*f, 0 = 2*i - 5*f + 1. Let a = i + 6. What is the units digit of 60/25 + a/5?
2
Suppose -2*c - 3*c + 78 = -4*o, 3*o - 99 = -5*c. What is the tens digit of c?
1
Let g = 30 + -22. Suppose -g - 20 = -7*w. What is the... | {
"pile_set_name": "DM Mathematics"
} |
*2 assuming s is positive.
s**(-18664/45)
Simplify (((q/(q**(2/31)/q)*q)**(-1/12))**22)**(3/26) assuming q is positive.
q**(-77/124)
Simplify ((z**(-24))**(38/5)*(z**(-6)/z)/z*z**(1/20))**30 assuming z is positive.
z**(-11421/2)
Simplify (((((u**(2/5)/u)/u)/u*u*u*u)/(u**7/u)*(u*u**(-1/3))**(-32))**(-45))**(3/25) assumi... | {
"pile_set_name": "DM Mathematics"
} |
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