text stringlengths 270 8.19k | meta dict |
|---|---|
-3*g + 339 = -c*n. What is the hundreds digit of g?
1
Suppose -490601 - 515223 = -64*b. What is the units digit of b?
6
Suppose h + 2*l + 415 = 1511, 5*h - 5473 = -3*l. Suppose 11*x - 2206 = h. Suppose -3*r + 27 = -x. What is the hundreds digit of r?
1
What is the thousands digit of ((-165)/20)/11 + (-28031)/(-4)?
7
Le... | {
"pile_set_name": "DM Mathematics"
} |
p(h) = z*u(h) + 27*l(h). Determine p(k(a)).
-108*a**4
Let j(f) be the first derivative of -2061*f**3 - 1473. Let p(w) = -w. What is p(j(s))?
6183*s**2
Suppose 3*z - 6 = 3*c, 0*z + 4*c = 2*z - 12. Let u(b) = -14*b**2 + 2. Let q(t) = -14*t**2 + 3. Let r(o) = z*q(o) + 3*u(o). Let y(n) = -10*n. Calculate y(r(x)).
140*x**2... | {
"pile_set_name": "DM Mathematics"
} |
derivative of 2*h**j + 2*h**2 - 5*h**2 - h**4 - 2*h**3 wrt h?
-24*h
What is the second derivative of -30*y**3 + 28*y**3 - y + 11*y wrt y?
-12*y
What is the first derivative of -1561*y**3 + 14*y**4 - 23 + 1561*y**3 - 2*y**4 wrt y?
48*y**3
Let m be ((-10)/5)/1 - -5. Let q(u) be the first derivative of 0*u**4 + 0*u**3 + 0... | {
"pile_set_name": "DM Mathematics"
} |
ase 12?
-2
-55 (base 10) to base 16
-37
-7 (base 16) to base 2
-111
Convert -2 (base 9) to base 15.
-2
What is ac (base 13) in base 2?
10001110
333 (base 7) to base 12
123
What is -1 (base 15) in base 5?
-1
What is 220 (base 4) in base 15?
2a
10 (base 3) to base 10
3
Convert -2 (base 6) to base 7.
-2
-8 (base 16) to ba... | {
"pile_set_name": "DM Mathematics"
} |
0.
2, 5
List the prime factors of 65310.
2, 3, 5, 7, 311
List the prime factors of 17327.
17327
What are the prime factors of 52479?
3, 7, 17
What are the prime factors of 17502?
2, 3, 2917
List the prime factors of 1619.
1619
List the prime factors of 931.
7, 19
List the prime factors of 33692.
2, 8423
List the prime ... | {
"pile_set_name": "DM Mathematics"
} |
11, what is -2 - -11013a180?
11013a179
In base 6, what is 31 - -22121333?
22121404
In base 3, what is 21112 + -2211201222?
-2211110110
In base 7, what is -1142 + 22601?
21426
In base 2, what is 100001101000000000100011010 + 110?
100001101000000000100100000
In base 9, what is -247768485 - 3?
-247768488
In base 2, what i... | {
"pile_set_name": "DM Mathematics"
} |
).
0
Evaluate ((-4)/88)/((-12)/66).
1/4
What is the value of ((-2)/(-22))/((-294)/(-1617))?
1/2
What is the value of ((-4)/5)/((-546)/65)?
2/21
What is -2*5*1/20?
-1/2
What is the value of ((-10)/(-12))/((-1330)/(-152))?
2/21
3/(-4*(-6)/(-16))
-2
((-18)/60)/(2/4)
-3/5
(-30)/12*7/7
-5/2
Evaluate (16/(-10))/(3*12/(-90)).... | {
"pile_set_name": "DM Mathematics"
} |
9, 1359250?
54380*j**2 - 49*j - 5
What is the o'th term of 1211, 562, -87, -736?
-649*o + 1860
What is the j'th term of -323656972, -323656968, -323656962, -323656954, -323656944?
j**2 + j - 323656974
What is the b'th term of 338182, 338170, 338160, 338152?
b**2 - 15*b + 338196
What is the k'th term of -11021, -11004, ... | {
"pile_set_name": "DM Mathematics"
} |
aller: m or -1?
-1
Let q = 42.7 + -46.7. Let m = -0.3 + 0.2. Is m > q?
True
Let s = 6 - 9. Let j be 550/(-48) + (-1)/s. Let f = 1715/152 + j. Which is smaller: f or 1?
f
Suppose -2*d + 50 = 32. Suppose -h + 5*o = 16, 3*o - 3 = 3*h + d. Is 2/11 greater than or equal to h?
True
Suppose -3*x - n = -0*x - 16, x + 8 = 3*n. ... | {
"pile_set_name": "DM Mathematics"
} |
= 0. Calculate l.
-2, 1/19
Determine k, given that 152*k**3 - 1086*k**2 - 1062*k + 176 = 0.
-1, 11/76, 8
Factor -2*a**3/9 + 992*a**2/9 + 14182*a/9 + 16660/3.
-2*(a - 510)*(a + 7)**2/9
Factor -3*x**2 + 102294*x - 511395.
-3*(x - 34093)*(x - 5)
Factor -25*t**4/2 + 330535*t**3/2 - 132211*t**2/2 + 13221*t/2.
-t*(t - 13221)... | {
"pile_set_name": "DM Mathematics"
} |
-1 - 1 - (g + 5). What is the highest common factor of m and 8?
8
Let b(f) = -178*f**2 - f - 3. Let o(h) = 355*h**2 + 2*h + 7. Let x(p) = -7*b(p) - 3*o(p). Let l be x(-1). Calculate the highest common divisor of l and 20.
20
Let d = 201 + -51. What is the highest common factor of d and 60?
30
Suppose 10 = -2*t - 0. Let... | {
"pile_set_name": "DM Mathematics"
} |
three letters picked without replacement from {m: 5, n: 3}.
15/56
Two letters picked without replacement from {a: 1, e: 7, m: 1, x: 2, v: 3}. What is prob of picking 1 m and 1 e?
1/13
Calculate prob of picking 2 z and 2 r when four letters picked without replacement from {r: 3, z: 5}.
3/7
Three letters picked without r... | {
"pile_set_name": "DM Mathematics"
} |
190). Solve 20 = -2*f + t*f for f.
4
Suppose -2*y + 1 = 5*k - 4, -4*y - 1 = -k. Let j be 4 + -1 - (-25)/(-5). Let d be (0 + 0)/(y + j). Solve d = 2*a + 4 - 2 for a.
-1
Suppose -p - 2 = s + p, 3*p + 2 = -2*s. Let c be ((-9)/1)/3 + 19. Solve -2*g = s*g + c for g.
-4
Suppose 97 = -5*h + 7*m - 5*m, -8 = 2*m. Let j be -1 + ... | {
"pile_set_name": "DM Mathematics"
} |
= 3*i for i.
-5
Let f be 302*-1*((-14)/(-4))/(-7). Suppose z = -f + 153. Solve 5*l + 14 = -q, 3*q + 6 = z*l + l for l.
-2
Let r = 46 - 42. Suppose -8*t + 7*t = -4. Solve 2*b - t*i = -r, 2*b - 4 = i + 1 for b.
4
Suppose v + 3 = -2*o, 0 = o - 4*o - 9. Solve 0 = 2*y - v*y, 4*s + 4*y - 16 = 0 for s.
4
Let l(r) = -r - 1. Le... | {
"pile_set_name": "DM Mathematics"
} |
116, -3*x - 3*z = -90. Calculate the remainder when x is divided by 1/(-2) - 31/(-2).
13
Suppose -2*w = -4*c - 46, 3*w = 5*c + 57 + 8. What is the remainder when w is divided by 3?
0
Let p be 150*15/(-18)*-3. Suppose 2*z + 3*z = p. Calculate the remainder when (3/(-9))/(-1)*z is divided by 9.
7
Let x(c) = c - 6. Let t ... | {
"pile_set_name": "DM Mathematics"
} |
Let q(g) = -1 + 8 - 7 + 16*g. Let b(h) = 2*h - 50. Let i(x) = 2*x - 60. Let p(f) = -6*b(f) + 5*i(f). Give q(p(k)).
-32*k
Let x(u) = u + 307. Let h(b) = -5*b**2 - 4*b. Give x(h(q)).
-5*q**2 - 4*q + 307
Let l(f) = -2*f. Let c(d) = -5*d - d - d + 5*d. Let q(i) = 6*c(i) - 7*l(i). Let g(x) = 18*x**2. Determine g(q(s)).
72*s... | {
"pile_set_name": "DM Mathematics"
} |
23
Calculate the remainder when 142 is divided by 61.
20
Calculate the remainder when 119 is divided by 33.
20
Calculate the remainder when 464 is divided by 129.
77
Calculate the remainder when 62 is divided by 44.
18
Calculate the remainder when 16534 is divided by 23.
20
What is the remainder when 105 is divided by ... | {
"pile_set_name": "DM Mathematics"
} |
ide 28709238?
True
Is 46538646 a multiple of 33?
True
Does 1399 divide 302529553?
True
Does 3940 divide 258628778?
False
Is 2726280 a multiple of 72?
True
Does 15 divide 366823157?
False
Is 813849768 a multiple of 3816?
True
Is 337523101 a multiple of 499?
True
Is 41584159 a multiple of 17?
True
Is 421 a factor of 2586... | {
"pile_set_name": "DM Mathematics"
} |
tween 12:46 AM and 4:01 AM?
195
How many minutes are there between 9:18 PM and 12:35 AM?
197
How many minutes are there between 10:45 AM and 11:52 AM?
67
How many minutes are there between 12:05 PM and 11:02 PM?
657
What is 238 minutes before 5:54 AM?
1:56 AM
What is 56 minutes after 3:31 AM?
4:27 AM
How many minutes a... | {
"pile_set_name": "DM Mathematics"
} |
59, 5079873, 5079613, 5079267?
-2*p**3 - p**2 + 7*p + 5080299
What is the d'th term of -1188, -2637, -4336, -6285, -8484, -10933, -13632?
-125*d**2 - 1074*d + 11
What is the v'th term of -116, -248, -358, -446?
11*v**2 - 165*v + 38
What is the o'th term of 784086, 1568148, 2352208, 3136266, 3920322, 4704376, 5488428?
-... | {
"pile_set_name": "DM Mathematics"
} |
11) assuming n is positive.
n**(-128/55)
Simplify (u/(u*u**(-1/4)*u)*u**(-3/5)*u)/(u**(-1/3)*u*u)**(1/23) assuming u is positive.
u**(-583/1380)
Simplify (w*(w/w**(2/33)*w)/w*w)/(((w/w**(10/3))/w)/w)*w*w**(6/11)*w*w/(w/w**(-4)) assuming w is positive.
w**(64/11)
Simplify (a**13*a/a**13)/((a/a**(-13))/(a**(-5/3)*a)) ass... | {
"pile_set_name": "DM Mathematics"
} |
:31 AM?
2:03 AM
How many minutes are there between 5:50 AM and 9:47 AM?
237
How many minutes are there between 8:29 AM and 4:23 PM?
474
How many minutes are there between 9:39 PM and 4:29 AM?
410
What is 556 minutes after 3:59 AM?
1:15 PM
How many minutes are there between 1:04 PM and 10:07 PM?
543
How many minutes are... | {
"pile_set_name": "DM Mathematics"
} |
is p(-3)?
-3
Let p(t) = t**2 + 7*t - 227. What is p(-19)?
1
Let n(i) = 2*i - 2. Determine n(13).
24
Let c(t) = -t**2 - t + 5. Determine c(4).
-15
Let u(b) = -b - 7. Determine u(11).
-18
Let n(y) = -6*y**2 + 4*y - 3. Give n(2).
-19
Let l(z) = -6*z**2 + 4*z + 3. What is l(-3)?
-63
Let i(j) = 2*j - 106. What is i(38)?
-30... | {
"pile_set_name": "DM Mathematics"
} |
-12. Let w = 9 - l. Let k = w - -11. What are the prime factors of k?
3
Let v = -1414 + 3069. List the prime factors of v.
5, 331
Let j(a) = -13*a**3 + 4*a**2 + a + 7. What are the prime factors of j(-5)?
11, 157
Suppose -4*q = -27 - 49. Let i be 4*((-44)/(-16) + -3). Let a = q + i. List the prime factors of a.
2, 3
L... | {
"pile_set_name": "DM Mathematics"
} |
e n*f(w) - 6*i(w).
-33*w**3 - 1
Let i(t) = 457*t. Let k(w) = 4. Calculate -i(z) - 2*k(z).
-457*z - 8
Let d(i) = -i**2 - 4*i - 8. Let t(w) = -163*w - 165*w + w**2 - 167*w + 666*w - 170*w. What is -d(k) - 2*t(k)?
-k**2 + 2*k + 8
Let o(c) = -19*c**3 - 2*c**2 + 4*c + 4. Let m be -10 - (-3 - (9 + -6)). Let v(g) = 18*g**3 + ... | {
"pile_set_name": "DM Mathematics"
} |
What is 14796 to the power of 1/5, to the nearest integer?
7
What is the third root of 14170 to the nearest integer?
24
What is 66278 to the power of 1/9, to the nearest integer?
3
What is 1171 to the power of 1/2, to the nearest integer?
34
What is 7302 to the power of 1/2, to the nearest integer?
85
What is 29294 to ... | {
"pile_set_name": "DM Mathematics"
} |
6695?
825344034
What comes next: -13765397, -27530792, -41296187, -55061582, -68826977, -82592372?
-96357767
What is next in 20135, 40225, 60319, 80417, 100519?
120625
What is next in 9776, 78435, 264772, 627629, 1225848, 2118271, 3363740, 5021097?
7149184
What comes next: -5563, -6760, -8755, -11548, -15139?
-19528
Wh... | {
"pile_set_name": "DM Mathematics"
} |
(b) 0 (c) -2
c
What is the third smallest value in -53/5, -1, -2/9, 0.5, -5?
-1
Which is the third biggest value? (a) -0.39 (b) 1/6 (c) -4
c
What is the fifth biggest value in -4/37, 0.1, 1, -1, -5?
-5
Which is the fourth smallest value? (a) 1/4 (b) 4/25 (c) -3/8 (d) -2/11
a
What is the second smallest value i... | {
"pile_set_name": "DM Mathematics"
} |
value? (a) 4/3 (b) -23 (c) i (d) -4/5 (e) -2/37
a
Let f = 755/68 - 754/17. Let i = f + 33. Let d = -3.6 + 3.74. Which is the third smallest value? (a) d (b) 1/3 (c) i
b
Let f = -27845.06 - -27845. Which is the biggest value? (a) 0 (b) 0.01 (c) -0.15 (d) f
b
Let y be (-22)/99 + 94/18. Let d be (6 - -4)/y + -... | {
"pile_set_name": "DM Mathematics"
} |
*6/3 + 3*o**4/4 - 203*o**2 + 99. Find the second derivative of f(g) wrt g.
-280*g**3 + 18*g
Let a = 71 - 71. Find the third derivative of -11*n**3 - 23*n**2 + a*n**3 + 3*n**3 wrt n.
-48
Let r(c) be the third derivative of -c**9/126 + 3*c**8/56 - 19*c**5/4 + 216*c**2. What is the third derivative of r(t) wrt t?
-480*t**... | {
"pile_set_name": "DM Mathematics"
} |
2 - 7*v**2 - 7*v**3 - 31 to the form k*v + o + a*v**2 + x*v**3 and give x.
-7
Rearrange -2 - 4*w**2 + 3*w**2 + 2*w**3 - 1 - 15*w**3 to m*w + s*w**2 + u + g*w**3 and give m.
0
Express 6*u - 24*u - 30 + u**4 + 34 in the form m*u**3 + l + a*u**2 + q*u**4 + x*u and give x.
-18
Express -67*f + 129*f - 21*f**2 - 60*f as p*f ... | {
"pile_set_name": "DM Mathematics"
} |
or of 672 and 324996.
84
Calculate the greatest common factor of 3081 and 95037.
237
What is the greatest common divisor of 43600 and 184?
8
What is the greatest common divisor of 152 and 326933?
19
Calculate the highest common divisor of 538815 and 765.
255
Calculate the greatest common factor of 3177 and 144.
9
What ... | {
"pile_set_name": "DM Mathematics"
} |
f 5559095, 5559088, 5559077, 5559062, 5559043, 5559020, 5558993?
-2*d**2 - d + 5559098
What is the w'th term of 1360031, 1360138, 1360245, 1360352, 1360459, 1360566?
107*w + 1359924
What is the m'th term of 176488, 352974, 529462, 705958, 882468, 1058998, 1235554, 1412142?
m**3 - 5*m**2 + 176494*m - 2
What is the m'th ... | {
"pile_set_name": "DM Mathematics"
} |
be r(-2). List the prime factors of (165/b)/(1/(-5)).
3, 11
Let d(x) = -x + 13. Let p = 9 + 2. Let r be d(p). Suppose 3*o = r*o + 6. List the prime factors of o.
2, 3
What are the prime factors of 18 + 0/(-3 + 4)?
2, 3
List the prime factors of 6/(-3 - 210/(-68)).
2, 17
Let k be (9 + 0)/((-1)/3). Let f = k - -44. List... | {
"pile_set_name": "DM Mathematics"
} |
ine -5*j(q) - 3*v(q).
2*q**2 + 3*q - 15
Let y(q) = -15*q**3 - q**2 + 5*q + 4. Let m(j) = -j - 1. What is 5*m(z) + y(z)?
-15*z**3 - z**2 - 1
Let t(c) = -c**2 - 9*c + 4. Let a(v) = -v**2 + 9*v - 9. Let h be a(7). Suppose 2*m = 7*m - 25, h*n + 40 = 2*m. Let l(o) = o - 1. Give n*l(j) - t(j).
j**2 + 3*j + 2
Let m(y) = -4*y ... | {
"pile_set_name": "DM Mathematics"
} |
*t/7 - 104976/7.
-(t + 1)*(t + 324)**2/7
Factor -75*g**4/4 - 90*g**3 - 63*g**2 - 12*g.
-3*g*(g + 4)*(5*g + 2)**2/4
What is f in 3*f**5 - 39*f**4/2 + 45*f**3 - 48*f**2 + 24*f - 9/2 = 0?
1/2, 1, 3
Determine q so that 4*q**2/3 - 58*q/9 - 10/9 = 0.
-1/6, 5
Determine f so that 26*f**3/3 + 8*f**2/3 - 70*f/3 + 12 = 0.
-2, 9/1... | {
"pile_set_name": "DM Mathematics"
} |
10
What is the i'th term of -11, -74, -167, -302, -491, -746, -1079?
-2*i**3 - 3*i**2 - 40*i + 34
What is the m'th term of 37, 369, 1275, 3043, 5961, 10317, 16399, 24495?
48*m**3 - m**2 - m - 9
What is the p'th term of 2, 0, 6, 26, 66, 132, 230, 366?
p**3 - 2*p**2 - 3*p + 6
What is the g'th term of -17, -150, -503, -1... | {
"pile_set_name": "DM Mathematics"
} |
et h(o) = -22*o - 22*o + 43*o. Let g(k) = -83*k**2. Calculate h(g(p)).
83*p**2
Let l(x) be the third derivative of -x**5/30 + 28*x**2 + x. Let h(c) = 13*c - 2. Let d(k) = 12*k - 3. Let m(j) = -2*d(j) + 3*h(j). Determine l(m(t)).
-450*t**2
Let s(x) = -x**2. Let t(g) = -g**2 + 13*g + 17. Let h be t(14). Let n(o) = 6 + 8 ... | {
"pile_set_name": "DM Mathematics"
} |
-x - a = -4*x. What is the tens digit of x?
2
Let n(q) = 25*q**3 + q**2 + q - 2. Let a be n(1). Suppose 0 = 6*r + 7 - a. What is the units digit of r?
3
Suppose 2*u - 518 - 1021 = d, 4*u + 4*d = 3060. What is the tens digit of u?
6
Let r = -59 - -33. Let c = 7 + -60. Let j = r - c. What is the tens digit of j?
2
Suppo... | {
"pile_set_name": "DM Mathematics"
} |
+ a for j.
5
Suppose -4*j = -3*x + 20, -5 = x - 0*x + j. Solve -4*c + 2*o + 16 = x, o - 4 = -0*c - 2*c for c.
3
Let p be ((-3)/(-9))/(1/12). Solve p*q - b - 11 = 0, -4 = 4*b + 8 for q.
2
Let n be 5/(3/3 + 0). Let d = -14 + 25. Suppose -4 = -n*h + d. Solve z = -h*m - 7, 2*m + 11 = 3*z - 12 for m.
-4
Let y be (-7 - 4/(-1... | {
"pile_set_name": "DM Mathematics"
} |
and give y.
1
Rearrange (-3 + 4 - 3)*((-2 + 1 + 0)*(3*f + 0*f - f) - 4 + 4 + 4*f + (1 - 1 - 5)*(0*f - 3*f + f) - 4 + 4 + 2*f) to n + r*f and give r.
-28
Rearrange 3*j**3 - 18*j**2 - 32*j**2 - 2*j**4 - 3*j**3 + 2 to u*j + y + a*j**4 + c*j**3 + s*j**2 and give s.
-50
Rearrange (3 + 1 - 2)*(-d**4 - 4*d**4 + 3*d**4) + (252... | {
"pile_set_name": "DM Mathematics"
} |
en 9:21 AM and 6:30 PM?
549
How many minutes are there between 11:03 PM and 10:24 AM?
681
What is 265 minutes after 1:15 PM?
5:40 PM
What is 636 minutes before 4:47 PM?
6:11 AM
What is 386 minutes after 5:53 PM?
12:19 AM
What is 372 minutes before 5:17 AM?
11:05 PM
How many minutes are there between 2:38 AM and 9:38 AM... | {
"pile_set_name": "DM Mathematics"
} |
). What is the units digit of z(0)?
4
Suppose -13*u - 12 = -10*u. Let d(p) = 7*p**2 - 3*p - 6. What is the units digit of d(u)?
8
What is the units digit of 4303 - (-3)/((-9)/(-12))?
7
Let q(v) = 315*v + 130. What is the tens digit of q(2)?
6
Let z = -38 - -513. What is the tens digit of z?
7
Suppose 0 = 4*j - 63 + 39.... | {
"pile_set_name": "DM Mathematics"
} |
4.60788 decades in centuries?
9.460788
What is sixty-one quarters of a kilogram in grams?
15250
How many millimeters are there in 25/2 of a meter?
12500
What is 0.9752763um in kilometers?
0.0000000009752763
How many grams are there in 3/40 of a kilogram?
75
What is three eighths of a day in seconds?
32400
How many mill... | {
"pile_set_name": "DM Mathematics"
} |
terms in 43*w + 39*w + 9*w.
91*w
Collect the terms in 7*p + 9*p - 2*p + 2*p.
16*p
Collect the terms in 16*c**3 + 162*c**3 + 44*c**3.
222*c**3
Collect the terms in 12*v**3 + 4*v**2 - 4*v**2 - 11*v**3.
v**3
Collect the terms in -41*n**2 - 14*n + 14*n - 240*n**2.
-281*n**2
Collect the terms in -3*o + 2*o - 7*o**2 + o.
-7*... | {
"pile_set_name": "DM Mathematics"
} |
/13
Is -0.21 greater than or equal to 0.003?
False
Which is greater: 165/4 or 40?
165/4
Which is greater: 1/2 or -2467?
1/2
Is 161 at least 0?
True
Which is greater: 1.04 or -2?
1.04
Is 0 != -1/1801?
True
Is -0.029 < -6?
False
Which is smaller: -9 or -3?
-9
Which is greater: -3/17 or 1?
1
Is -324/11 not equal to -28?
T... | {
"pile_set_name": "DM Mathematics"
} |
?
38420
What is the next term in 11785, 41254, 90373, 159148, 247585?
355690
What is next in 54359622, 108719278, 163078934, 217438590?
271798246
What is next in 82, 366, 1024, 2230, 4158, 6982, 10876, 16014?
22570
What comes next: 33377, 34553, 35731, 36911?
38093
What is the next term in -256465250, -256465254, -2564... | {
"pile_set_name": "DM Mathematics"
} |
18*z**2 + 3*z + 12
Collect the terms in -141*x - 63*x + 131*x.
-73*x
Collect the terms in -58890 + 58890 - 4*s - 12*s + 27*s - 10*s.
s
Collect the terms in 1659*u - 706*u + 2144*u.
3097*u
Collect the terms in -170*f + 113*f + 4 - 4 + 77*f.
20*f
Collect the terms in -85*l**3 + 49*l**3 + 32*l**3.
-4*l**3
Collect the term... | {
"pile_set_name": "DM Mathematics"
} |
3758.4
Multiply 0.003 and 2302.
6.906
Product of -1286 and 193.
-248198
74068 times -5
-370340
Multiply -52028 and 0.31.
-16128.68
0.4 * 340830
136332
32 * 24735
791520
What is the product of 0.5 and -35862?
-17931
-23249 * -16
371984
0.91 * 213
193.83
What is the product of 0.2 and 0.5276?
0.10552
Product of -0.3158 a... | {
"pile_set_name": "DM Mathematics"
} |
r be b(-1). Let w be r/(-2)*(-20)/6. Let -f + f**2 - 3*f**3 + 2*f**2 + w*f**4 - 4*f**4 = 0. Calculate f.
0, 1
Suppose 17 = 3*d + 5. Determine p, given that -3/4*p**d - 3/4*p**5 + 3/2*p**2 - 3/4 - 3/4*p + 3/2*p**3 = 0.
-1, 1
Factor 32*s**2 + 40 + 98*s - 5*s**3 - 158*s - 2*s**2.
-5*(s - 2)**3
Let m(d) = d**5 + d**4 - d*... | {
"pile_set_name": "DM Mathematics"
} |
ctor m(u).
-u*(u - 32)/3
Factor 0*d**3 + 12*d**4 - d**3 + 31029*d**2 + d**5 - 31041*d**2.
d**2*(d - 1)*(d + 1)*(d + 12)
Let u = -48/17 - 3599/68. Let q = u - -56. Determine j, given that 1/2 + q*j - 1/4*j**2 = 0.
-1, 2
Let q(o) be the third derivative of -o**5/90 + 799*o**4/108 + 178*o**3/9 + 3170*o**2. Factor q(r).
-2... | {
"pile_set_name": "DM Mathematics"
} |
rime number?
False
Let t(r) = -r - 7. Let n be t(-11). Suppose 1795 + 465 = n*u. Is u composite?
True
Let f(y) = -y**3 - 11*y - 23. Is f(-10) composite?
False
Suppose -o - 2*k + 8 = 0, 0 = 2*o + 3*o + 5*k - 25. Suppose -2*u + 391 = -3*s + o, 4*u = -5*s + 723. Is u a prime number?
False
Suppose -w = -15 + 128. Is (-3)/1... | {
"pile_set_name": "DM Mathematics"
} |
-1
b
Let z = 19 - 34. Let y be (-1)/12 - 47334/(-11592). Which is the closest to -0.1? (a) 1 (b) z (c) -3/4 (d) y
c
Let y = -26/15 - -12/5. Let v be (-75)/(-15) - (-111)/(-21). Which is the nearest to 3? (a) y (b) -1 (c) v
a
Let s = -68.6 - -5.6. Let h = 64 + s. Let y = 0.056 - -0.244. Which is the nearest to h?... | {
"pile_set_name": "DM Mathematics"
} |
nce zvzv.
1/15
Two letters picked without replacement from {k: 5, o: 6, f: 1, e: 3}. Give prob of sequence oo.
1/7
Three letters picked without replacement from gppp. Give prob of sequence ppg.
1/4
Three letters picked without replacement from wggggdggwawwawsaw. What is prob of sequence aaw?
3/340
Calculate prob of seq... | {
"pile_set_name": "DM Mathematics"
} |
factors of 2787.
3, 929
List the prime factors of 1713.
3, 571
List the prime factors of 1244.
2, 311
What are the prime factors of 27639?
3, 37, 83
List the prime factors of 19740.
2, 3, 5, 7, 47
List the prime factors of 17592.
2, 3, 733
What are the prime factors of 2001?
3, 23, 29
What are the prime factors of 404... | {
"pile_set_name": "DM Mathematics"
} |
p: 2, r: 1, o: 1, z: 11}. Give prob of picking 1 r and 1 z.
11/105
Three letters picked without replacement from {f: 2, h: 5}. Give prob of picking 3 h.
2/7
Calculate prob of picking 1 n, 1 m, 1 x, and 1 y when four letters picked without replacement from xmkmmmnyknnx.
8/165
Calculate prob of picking 3 z and 1 a when f... | {
"pile_set_name": "DM Mathematics"
} |
ose -r*o + 36 + 74 = 0. Is o composite?
True
Suppose 0 = 2*v + 3*x - 34, x + 0*x = -v + 19. Suppose -4*s + 13 = -3*d, 5*s + 2*d = -d + v. Suppose -3*f + 1125 = -s*r, -754 = -2*f - 0*f + 4*r. Is f prime?
False
Let j(f) = 371*f - 869. Is j(8) a prime number?
True
Let w(t) = -2*t - 2. Let v be w(1). Let h be v/16 + (-1743... | {
"pile_set_name": "DM Mathematics"
} |
smallest value? (a) -2 (b) -1/7 (c) -238 (d) -5/2 (e) -15 (f) -0.026 (g) 1
b
Which is the third smallest value? (a) -2 (b) -67/2 (c) 25161
c
Which is the third smallest value? (a) -1 (b) 28101 (c) -2/129
b
Which is the fourth smallest value? (a) -0.18 (b) 9954 (c) -5 (d) -8 (e) 2
e
What is the fifth ... | {
"pile_set_name": "DM Mathematics"
} |
r be c(s). What is r rounded to the nearest one million?
-5000000
Let t = -391 + 385.11. Let d = 6 + t. Let l = d + -0.2. Round l to two decimal places.
-0.09
Let j(w) = -334998*w - 4. Let v be j(2). Round v to the nearest 100000.
-700000
Let c(l) = 6102*l - 2. Let m be c(1). Round m to the nearest one thousand.
6000
L... | {
"pile_set_name": "DM Mathematics"
} |
(-2).
-15
Let h(o) = 228*o + 94351. Determine h(-414).
-41
Let t(f) = -2270*f - 29091. Give t(-13).
419
Let u(y) = -1888*y - 560734. Determine u(-297).
2
Let w(j) = -32*j**2 + j + 234. Determine w(0).
234
Let p(k) = -k**3 - 496*k**2 + 3005*k - 259568. Give p(-503).
-20
Let w(n) = 39*n**3 - 293*n**2 + 125*n - 51. Give w... | {
"pile_set_name": "DM Mathematics"
} |
+ 16 = -3*w for w.
-5
Solve -82*l = -112*l - 240 for l.
-8
Solve -t + 131 - 138 = 0 for t.
-7
Solve 0 = -5*p + 10 - 15 for p.
-1
Solve 0 = 353*h - 333*h - 20 for h.
1
Solve -t = 2 + 2 for t.
-4
Solve 0 = 2*o + 12*o - 56 for o.
4
Solve 14*o = 12*o + 8 for o.
4
Solve 30*m = 51*m - 84 for m.
4
Solve 3*b + 0*b = -6 for b.
... | {
"pile_set_name": "DM Mathematics"
} |
the nearest 1000000.
-77000000
Let r = -0.1499 + 0.1999. Let w = 23.75036 - 23.8. Let j = w + r. What is j rounded to 4 decimal places?
0.0004
Let o = -8019961679.99999854 - -8019961475. Let u = o - -205. Round u to 7 decimal places.
0.0000015
Let g = 22.6 + -55. Let t = g + 33. Let c = t + -0.600036. What is c rounde... | {
"pile_set_name": "DM Mathematics"
} |
2 - 18*m
Expand (-a**3 + a**3 - 2*a**4)*((3 + 1 - 2)*(5 - 1 - 2) - 1 + 1 + 1)*(6 - 4 - 3)*(-4 + 4 - 2*a).
-20*a**5
Expand (3 - 1 - 4)*(-2*b**2 + b**2 - b**2 + (3*b - b - 4*b)*(-b + b + 2*b) - 47*b**2 - 5*b**2 - 73*b**2).
262*b**2
Expand (-33 + 11 - 23)*(3*u - 4 + 4)*(-4 + 4 - 5).
675*u
Expand (0*s**2 - 2*s**2 + 4*s**2 ... | {
"pile_set_name": "DM Mathematics"
} |
7448?
6941
What is next in -233, -327, -437, -563, -705?
-863
What comes next: -1346, -1333, -1300, -1235, -1126, -961?
-728
What comes next: 1853, 1835, 1807, 1769, 1721, 1663?
1595
What comes next: 107182, 214361, 321540, 428719, 535898, 643077?
750256
What is the next term in -346094, -692185, -1038276, -1384367, -1... | {
"pile_set_name": "DM Mathematics"
} |
- 1, -5*q = -i*v + 2. List the prime factors of q.
2
Let y(k) = 12*k + 3. Let f(o) = -o - 2. Let b(s) = -3*f(s) - y(s). What are the prime factors of b(-8)?
3, 5
Let c(v) = 360*v**2. What are the prime factors of c(-1)?
2, 3, 5
List the prime factors of (-1200094)/(-460) + (-1)/(-10).
2609
Let h be ((-76)/95)/(4/(-10)... | {
"pile_set_name": "DM Mathematics"
} |
t(200).
-40*sqrt(2) - 1
Simplify -1 + sqrt(55)/sqrt(5) + 1.
sqrt(11)
Simplify -2*sqrt(1008) + (-4*(sqrt(7) + 1))**2.
8*sqrt(7) + 128
Simplify (-3 + (sqrt(76) + 0)*-3)**2.
36*sqrt(19) + 693
Simplify (sqrt(12) + 4*sqrt(768))/sqrt(6).
33*sqrt(2)
Simplify (sqrt(1408)*2)/(sqrt(11)*2*-1).
-8*sqrt(2)
Simplify (1*sqrt(132)/sqr... | {
"pile_set_name": "DM Mathematics"
} |
second derivative of 2*q**4/3 + q**2 + 7*q. Let a(u) = 3*j(u) - 2*o(u). Let g(f) = -f. Calculate a(g(v)).
6*v**2
Let f(k) = 1019*k. Let b(r) = 4*r. Determine f(b(c)).
4076*c
Let m(n) = 6*n. Let o(d) = -3*d. Let t(q) = 6*q. Let x(l) = -9*o(l) - 4*t(l). What is x(m(w))?
18*w
Let b(n) = 9*n**2 - 8*n**2 - 6*n + 6*n. Let l(... | {
"pile_set_name": "DM Mathematics"
} |
5 - n**3 + n**3 + (1 + 2*n - 1)*(-4*n**4 + 0*n**4 + 6*n**4) - 9*n**5 + 6*n**5 - 9*n**5.
-11*n**5
Expand (-3 - 1 + 2)*(-30 + 44 - 243*v - 14).
486*v
Expand (-k**3 + k**3 + 2*k**4)*(31*k - 23*k + 34*k)*(0 + 0 + 1).
84*k**5
Expand -h**5 + h**5 + 2*h**5 + (-36 + 3*h + 36)*(h**4 + 4*h**4 + h**3 - 3*h**4).
8*h**5 + 3*h**4
Ex... | {
"pile_set_name": "DM Mathematics"
} |
y - 24. Let a(v) = -v**3 - 12*v**2 + 2*v + 15. Let s be a(y). Which is bigger: s or -8?
-8
Let u = 55 + -109/2. Which is smaller: 1/13 or u?
1/13
Let t(h) = -h**3 - 4*h**2 - 4*h - 3. Let i be t(-3). Suppose -r + 3 = -i. Suppose -2*w + w - r = 0. Is 0 bigger than w?
True
Let l(x) = -x**3 + 6*x**2 + x - 4. Let m be l(6).... | {
"pile_set_name": "DM Mathematics"
} |
Is t a multiple of 10?
True
Let h(l) = l**3 + 10*l**2 + 8*l + 9. Is 15 a factor of h(-6)?
True
Let h = -11 - -5. Is -2*(-2 + 165/h) a multiple of 15?
False
Let u = 74 - -6. Is 10 a factor of u?
True
Let l = 2 + 3. Suppose 4*g + l*t = 141, 3*g - 4*t - 46 - 52 = 0. Is 16 a factor of g?
False
Let g(a) = a**3 - 2*a**2 - a.... | {
"pile_set_name": "DM Mathematics"
} |
1?
True
Let o = 487690 + -178006966/365. Let w = o - 6/73. Let h = 49.69 + -53.69. Which is bigger: w or h?
w
Suppose -7*u - 2*q = -12*u + 57, -4*q = -16. Let t be u/(-78)*8/(-178). Which is greater: -1 or t?
t
Suppose -501*j + 12 = -513*j. Is j > -10/49?
False
Suppose 14*o = 1431 + 1201. Suppose -o = -13*d + 800. Whic... | {
"pile_set_name": "DM Mathematics"
} |
In base 13, what is -247 - 7704?
-794b
In base 16, what is 23a1 + 570?
2911
In base 11, what is 172480 + 9a?
17256a
In base 7, what is 2136201503 + 3?
2136201506
In base 9, what is -63405275 + -4?
-63405280
In base 11, what is 65629 - -126?
65754
In base 14, what is 1 - 253499d9?
-253499d8
In base 10, what is 975 + 268... | {
"pile_set_name": "DM Mathematics"
} |
?
58
Which is smaller: 1 or -2/109019?
-2/109019
Which is greater: 15397 or 15399?
15399
Which is smaller: -51204 or -1177674/23?
-51204
Is -109/14120 at least 0?
False
Is -279 <= -378?
False
Is -498 at least as big as 0.958?
False
Which is smaller: -0.345389 or -4/11?
-4/11
Is -9884 at least as big as -19767/2?
False
... | {
"pile_set_name": "DM Mathematics"
} |
-59?
-16
What is the value of -2 + -1 + -1 + (16 - (-81 - -41))?
52
Calculate 4 + 0 + 151 + -145 + -2 + 16.
24
What is (4 - 2) + -12 - ((5 - -19) + (2 - 45))?
9
What is (5 - (8 - (19 + -7))) + -2?
7
What is the value of -5 - (-3 + -17 + 32 - 19)?
2
Evaluate 377 - 225 - (81 + -5).
76
1 + 46 + (63 - -106) + -97
119
Calc... | {
"pile_set_name": "DM Mathematics"
} |
ose 0 = 5*u - 3*f - 271, -274 = -2*u - 3*u + 2*f. Let c = u + 18. What are the prime factors of c?
2, 37
Let d = 6834 + -4862. List the prime factors of d.
2, 17, 29
Suppose 6*r = 1469 + 67. What are the prime factors of r?
2
Let j(l) = 8*l**2 + 2*l + 3. Let v(o) = -o + 8. Let n be v(5). Suppose 5*h + 4 = n*h. What are... | {
"pile_set_name": "DM Mathematics"
} |
/(-12))/((-38)/(-18)))?
2, 19
Suppose -2*q = -0*q - v - 3, q - v = 3. Suppose -3*b - k + 2*k + 265 = q, -b - 4*k + 110 = 0. What are the prime factors of b?
2, 3, 5
List the prime factors of 16/(-28)*(-21)/(-6) + 700.
2, 349
Let w(t) = 8*t**2 + 1. Let s be 2/(-14) + (-242)/(-77). List the prime factors of w(s).
73
Let ... | {
"pile_set_name": "DM Mathematics"
} |
q - 14256.
3*(q + 792)*(29*q - 6)
Let -3*z**2 + 2574*z + 10344 = 0. Calculate z.
-4, 862
Determine r, given that -2*r**4/7 + 32*r**3 - 5382*r**2/7 - 17744*r/7 - 12136/7 = 0.
-2, -1, 41, 74
Find m such that -4*m**5/3 + 316*m**4/9 - 68*m**3/9 - 308*m**2/3 - 320*m/9 + 208/9 = 0.
-1, 1/3, 2, 26
Factor -o**3 - 35395*o**2 - ... | {
"pile_set_name": "DM Mathematics"
} |
Let g = -9.8 - 3.2. Let x = g + 12.96. Sort x, -0.3, 0.1.
-0.3, x, 0.1
Let s = -13 - -16. Let n be (-1)/(0 + s/15). Let m(a) = -a - 4. Let z be m(-4). Put z, 5, n in ascending order.
n, z, 5
Let h be (-260)/(-15) - 4/(-6). Suppose 3*i + 2*i - 2*n + h = 0, 2*i - 5*n + 3 = 0. Sort 1, i, 0 in decreasing order.
1, 0, i
Let... | {
"pile_set_name": "DM Mathematics"
} |
i = 7 + 1. Let c(p) = -3 + i*p + 0 + 2 - p. Calculate 7*c(h) + 6*k(h).
h - 1
Let d(y) = 5*y + 3. Let j(b) = -2*b - 5 + 7*b - 8*b - 8*b. What is -5*d(o) - 3*j(o)?
8*o
Let m(c) = -7*c**3 - 42. Let n(j) = 6*j**3 + 44. Calculate -3*m(v) - 4*n(v).
-3*v**3 - 50
Let k be (2 + -72)/(4 - 6). Let o(u) be the second derivative of... | {
"pile_set_name": "DM Mathematics"
} |
the third derivative of -g**k - g**2 + 0*g**2 + 0*g**2 - 3*g**6 wrt g.
-480*g**3
Let y(o) = -144*o + 144. Let b(t) = -17*t + 17. Let q(m) = 2*m - 11. Let l be q(8). Let s(x) = l*y(x) - 42*b(x). Differentiate s(f) with respect to f.
-6
What is the first derivative of -2*u - 5 + 17*u + 0*u + 5*u wrt u?
20
Let h(d) = 7*d... | {
"pile_set_name": "DM Mathematics"
} |
he smallest common multiple of j and 2.
8
Suppose -4*b + 79 + 49 = 0. Calculate the least common multiple of 2 and b/6 - 2/(-3).
6
Suppose -15 = -i - 0*i. Calculate the least common multiple of i and 1.
15
Let g(x) = x + 8. Let n be g(-8). Let j be ((-3)/(-2) + n)*2. Suppose -j*q = 2*q - 5. What is the lowest common mu... | {
"pile_set_name": "DM Mathematics"
} |
derivative of -2*d - 57*d**2 - 2*d + 57*d**2 - 6*d**3 wrt d?
-36*d
Let v(d) be the first derivative of d**5/6 + d**4/8 - 5*d**2/2 + 9. Let a(x) be the second derivative of v(x). Find the second derivative of a(t) wrt t.
20
What is the first derivative of -44 - 329*o**3 - 10*o**4 + 5*o + 329*o**3 + 6*o**4 wrt o?
-16*o**... | {
"pile_set_name": "DM Mathematics"
} |
/9, 2/7, c
Suppose 0 = -3*d + 3*y, -3 = 2*d - 5*y + 12. Put 68, -1, d in increasing order.
-1, d, 68
Suppose -11*w + 3*w = 24. Put 1, w, 2, -2/9 in decreasing order.
2, 1, -2/9, w
Let q be 7/(-21) + 30/9 + 0. Put 232, q, -3 in decreasing order.
232, q, -3
Let a = -24 + 27. Let v be -1*((-4)/(-1 - a))/(-1). Sort 1/3, -1... | {
"pile_set_name": "DM Mathematics"
} |
0
Let h be (134/(-134))/(2 + 0 + (-10)/4). Solve 2*v - 3 = -3*b, h = 2*b + 15*v - 17*v for b.
1
Let a(l) = l**2 - 757*l - 5264. Let s be a(-7). Solve -3*q + 12 = -4*k, 2*q = 85*k - s*k + 8 for q.
4
Let r = 83 - 137. Let p = 59 + r. Suppose 3*l - 2*l - p*i + 17 = 0, -5*l = -2*i - 7. Solve 4*z = -3*q - 14, 4*q - l*z + 6 ... | {
"pile_set_name": "DM Mathematics"
} |
85 = -q. Let t = 1457/15 - p. Which is the third smallest value? (a) 4/9 (b) t (c) 2/5
a
Let a = -48.87 - -49. What is the smallest value in a, 1, 4, -0.5?
-0.5
Let q = -1.1 - -1. Let v = -0.2 + q. Let c = 18 + -13. What is the biggest value in c, 0.3, v?
c
Let h = 12 - 10. Which is the second biggest value? (a) -5... | {
"pile_set_name": "DM Mathematics"
} |
1}?
1/14
What is prob of picking 2 f and 1 a when three letters picked without replacement from {a: 8, f: 3}?
8/55
Four letters picked without replacement from {u: 1, k: 7}. Give prob of picking 4 k.
1/2
Calculate prob of picking 1 l and 1 h when two letters picked without replacement from {h: 4, k: 1, b: 3, t: 1, l: 2... | {
"pile_set_name": "DM Mathematics"
} |
561 - -0.5002351. Let g = f + -6. What is g rounded to six dps?
-0.000009
Let g = -0.5 + 0.9. Let b = g + -4. Let d = 2 + b. What is d rounded to zero decimal places?
-2
Let m = -14835884.2937715142443 - 25.7062279257557. Let g = m + 14835906. Let k = g + 4. What is k rounded to seven decimal places?
0.0000006
Let b = ... | {
"pile_set_name": "DM Mathematics"
} |
What is the closest to i in 5, g, q?
q
Let h be (-1749)/132 - 39/(-3). What is the closest to h in 4, -9, -0.2, -4?
-0.2
Let m = 12987/7 + -1855. Which is the closest to m? (a) -1/17 (b) 1 (c) -5
a
Let w = -49 - -148/3. Let r(q) = q**3 - 9*q**2 - q + 9. Let n be r(9). Which is the closest to w? (a) 4 (b) -0.04 (... | {
"pile_set_name": "DM Mathematics"
} |
2*h*(h - 1)**2/3
Let k(p) be the first derivative of -7*p**4/4 + 55*p**3/9 - 14*p**2/3 + 4*p/3 - 3. Factor k(q).
-(q - 2)*(3*q - 1)*(7*q - 2)/3
Suppose 0 = 5*k - 3*k - 4. Factor 3/2*m**k - 3*m + 2 - 1/4*m**3.
-(m - 2)**3/4
Let z(j) = j**3 + 4*j**2 + 4*j + 3. Let p be (-1)/(3*(-1)/(-9)). Let l be z(p). Find v such that ... | {
"pile_set_name": "DM Mathematics"
} |
ate -4*h(u) + 3*n(u).
-u - 1684
Let a(u) = -6*u**2 + u - 1. Let r(g) = 4*g**2 - 3*g - 760. Calculate a(l) + r(l).
-2*l**2 - 2*l - 761
Let b(i) = 2*i + 2. Let s(k) = 3*k + 3. Suppose -5*x + 2*c + 3*c = -160, 0 = -x - c + 40. Suppose -5*r = -5*a + a + x, -2*a - 4 = 3*r. Give r*b(v) + 3*s(v).
v + 1
Let y(u) be the second ... | {
"pile_set_name": "DM Mathematics"
} |
k(u) = -2*g(u) - 4*w(u). Determine k(h(m)).
-2*m
Let y(n) = 3*n**2. Let o(z) be the third derivative of -17*z**4/24 + 17*z**2. Calculate y(o(d)).
867*d**2
Let a(s) = -18*s**2. Let c(z) = -z**2 - 389*z + 389*z. What is c(a(f))?
-324*f**4
Let w(k) = 36*k**2. Let z(a) = 74 - a - 74. Determine w(z(c)).
36*c**2
Let t(h) = ... | {
"pile_set_name": "DM Mathematics"
} |
*p + 2 = b. Suppose 3*d - 7 = 4*r, -5*d = p*r - 4 + 1. What is the nearest to -0.1 in r, -0.5, -2/9?
-2/9
Suppose 318 = -238*n - 1120 + 248. Which is the closest to 27? (a) -0.5 (b) n (c) -0.1
c
Let c = 477 + -477. Suppose -92*s + 89*s - 9 = c. What is the closest to 0.1 in s, 14, -2?
-2
Let t = -8 + 7.7. Let j be (... | {
"pile_set_name": "DM Mathematics"
} |
minutes are there between 8:31 AM and 10:09 AM?
98
How many minutes are there between 8:35 AM and 5:15 PM?
520
How many minutes are there between 1:51 PM and 6:40 PM?
289
What is 185 minutes after 7:08 PM?
10:13 PM
How many minutes are there between 7:19 AM and 6:29 PM?
670
What is 675 minutes before 1:53 AM?
2:38 PM
W... | {
"pile_set_name": "DM Mathematics"
} |
t common divisor of j and 84.
21
Let q(t) = t**3 + 7*t**2 + 8*t + 4. Let m be q(-6). Let d = 2 - m. Suppose -71 = -3*c + 259. What is the highest common factor of d and c?
10
Let i be ((-120)/7)/(1/(-7)). Let w(l) = -2*l**2 - 19*l + 6. Let v be w(-6). Calculate the highest common factor of i and v.
24
Let v = 16 + -2. ... | {
"pile_set_name": "DM Mathematics"
} |
6. Calculate the least common multiple of a and 81.
891
Let f = 115 + -106. Suppose 0 = -0*m + 4*m - 20. Suppose -m*u = -v + 36 - 7, 5*v = 4*u + 61. What is the lowest common multiple of f and v?
9
Let o = -344 - -7219/21. Let p = 664 - 674. What is the common denominator of p and o?
21
Let d = -42598/9 - -4728. Let g ... | {
"pile_set_name": "DM Mathematics"
} |
w + 5. Let y be x(w). Suppose y*o + 17 = 2*l + 3*o, -3*l - 3*o = -33. List the prime factors of l.
2
Suppose 0 = 3*v + m - 243, 4*v - 4*m = -m + 311. What are the prime factors of v/(-20) + -1 + 221?
2, 3
Let z(r) be the second derivative of -5*r**5 + r**3/6 + r**2/2 + 25*r - 1. List the prime factors of z(-1).
2, 5
Le... | {
"pile_set_name": "DM Mathematics"
} |
y(f) be the third derivative of f**4/12 + f**3/2 + f**2. Let g(s) = 6*s**2 - s - 1. Let j be g(-1). Is y(j) a prime number?
False
Suppose 4 = g - 0*g - r, -r - 12 = -3*g. Suppose -116 = -6*l + g*l. Is l a prime number?
False
Let a(b) = 4*b**3 - 3*b**2 - b + 1. Let y(u) = -u**3 - 2*u**2 + 2*u. Let f be y(-3). Is a(f) p... | {
"pile_set_name": "DM Mathematics"
} |
5 - -75/311. What is the biggest value in 3, r, 337?
337
Let o(x) = 24*x**2 - 25*x + 121. Let y(g) = -36*g**2 + 38*g - 180. Let r(j) = -7*o(j) - 5*y(j). Let l be r(4). What is the third biggest value in l, -0.5, 1?
-0.5
Let p = 0.2373 - -60.7627. What is the fourth biggest value in -2, -5, p, 0.4?
-5
Let g = -3160 - -3... | {
"pile_set_name": "DM Mathematics"
} |
e prob of sequence vn.
1/8
What is prob of sequence nob when three letters picked without replacement from bnrnrlnbnbonrlln?
3/560
Three letters picked without replacement from {v: 6, g: 6, s: 2, q: 2, f: 1}. Give prob of sequence vfg.
3/340
What is prob of sequence ts when two letters picked without replacement from {... | {
"pile_set_name": "DM Mathematics"
} |
**3 - 4*u**2 + 2*u - 3. Suppose -5*g = -4*d + 41, 2*d = 4*d - g - 13. Let w be b(d). Solve w*j + 8 = -h, -2*h = 3*j - h + 6 for j.
-1
Suppose v + 73 = 5*u - 0*v, 40 = 2*u - 4*v. Solve 5*s + 9 = -b - 10, -3*s - u = -2*b for b.
1
Suppose 0 = -4*m + 31 - 7. Solve 2*g + 2*r = 6, -m*r = -5*g - 2*r + 6 for g.
2
Let x(m) = 2*... | {
"pile_set_name": "DM Mathematics"
} |
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