text stringlengths 270 8.19k | meta dict |
|---|---|
3*r + 1. Let b be h(l). Let v(p) = -p**3 + 8*p**2 - 3*p - 10. What is the units digit of v(b)?
8
Let a = 20410 + -4936. What is the tens digit of a?
7
Suppose -2*y - 73 = -69. Let w be 7/(y + (3 - 0)). Let k = w + 90. What is the tens digit of k?
9
Let c(d) be the second derivative of 5*d**5/12 - d**4/12 - d**3/3 - 16*... | {
"pile_set_name": "DM Mathematics"
} |
of 6476 and 291420.
291420
Calculate the common denominator of -59/5551632 and -73/6168480.
55516320
What is the smallest common multiple of 104528 and 92296?
8675824
Find the common denominator of 69/1519168 and -35/325536.
4557504
What is the common denominator of 64/3245 and 57/194140?
125996860
What is the least co... | {
"pile_set_name": "DM Mathematics"
} |
between 8:42 AM and 4:36 PM?
474
How many minutes are there between 6:01 PM and 11:26 PM?
325
What is 391 minutes before 12:50 PM?
6:19 AM
What is 372 minutes after 6:54 AM?
1:06 PM
What is 137 minutes before 3:35 AM?
1:18 AM
What is 344 minutes after 1:25 PM?
7:09 PM
What is 321 minutes before 9:31 PM?
4:10 PM
How ma... | {
"pile_set_name": "DM Mathematics"
} |
*t**4 + (-3*t**2 - t**2 + 3*t**2)*(4 - 4 - 2*t**2) in the form z*t**4 + f*t**2 + r*t + w*t**3 + p and give z.
-7070
Express 158*h**2 + 164*h**2 + 149*h**2 - 2 + h**4 - 472*h**2 - 109*h**3 - h as b*h**2 + y*h + n*h**3 + v*h**4 + i and give i.
-2
Express -h**3 + 7224*h + 2 - h**3 - 7595*h in the form p*h + t*h**2 + d*h**... | {
"pile_set_name": "DM Mathematics"
} |
Expand (-8 + 14 + 4*z - 4)*(-2 + 2 - 2*z**3).
-8*z**4 - 4*z**3
Expand (4*x - 3*x + x + 3*x + 0 + 0 + (0*x + 3*x - 2*x)*(2 + 1 - 1))*(-6*x - 161 + 161).
-42*x**2
Expand (0*h - 2*h + 0*h)*(-20*h + 20*h + 31*h**2) - 4*h - h**3 + 4*h.
-63*h**3
Expand (-1 + 3 - 1)*(-o**4 + o**4 + o**5 + (-2*o**2 - o**2 + 2*o**2)*(19*o**3 + ... | {
"pile_set_name": "DM Mathematics"
} |
(-12)/(-10). Sort 44, -1, b in ascending order.
-1, b, 44
Suppose -j + 14 = -9. Suppose -8 = 5*a - j. Let w be 72/(-15) + (-2)/10. Put w, a, -4 in descending order.
a, -4, w
Suppose -25 - 2 = z. Let c be z/63 + 54/28. Sort -1/6, c, -4 in ascending order.
-4, -1/6, c
Let q be ((-1)/(-2))/(2/8). Suppose -5*f + 23 + 2 = -... | {
"pile_set_name": "DM Mathematics"
} |
4984
Calculate the lowest common multiple of 6432 and 6432.
6432
What is the common denominator of 11/854 and -53/41968?
293776
Calculate the lowest common multiple of 7590 and 22.
7590
Calculate the least common multiple of 7915 and 11081.
55405
Calculate the common denominator of 57/220 and 43/3340.
36740
What is th... | {
"pile_set_name": "DM Mathematics"
} |
2
Calculate -1 + 7 + 0 - (19 + (-4 - 2)).
-7
Evaluate -28 + (-2 - 8) + 53.
15
Evaluate 11 + (-2 - 3) + -8 - (-8 + 1).
5
Evaluate -13 + 7 + (-2 - 4).
-12
Calculate (1 - 0) + (7 - 8) + 502 + -511.
-9
Evaluate 0 + -3 + (4 - -1 - 10 - -5).
-3
Calculate -2 + -16 + 10 + 8.
0
14 - (7 + 6) - (27 + -3)
-23
45 + -8 + -22 + 1
16
... | {
"pile_set_name": "DM Mathematics"
} |
e j(i(g)).
363609*g**2
Let c(j) = 70*j. Let a(y) = 9*y**2. Calculate c(a(s)).
630*s**2
Let m(s) = 4*s**2. Let w(g) be the third derivative of g**4/4 - 18*g**2. Calculate w(m(x)).
24*x**2
Let d(f) be the first derivative of 1/3*f**3 - 4 + 0*f**2 + 0*f. Let t(a) = a**2. Calculate t(d(r)).
r**4
Let t(a) = -9*a. Let m be 4... | {
"pile_set_name": "DM Mathematics"
} |
.06
Which is the fourth biggest value? (a) -1/2 (b) -2/385 (c) 0.4 (d) 3 (e) -0.4
e
Which is the biggest value? (a) -11 (b) 1/4 (c) 0 (d) 0.3
d
Which is the fifth biggest value? (a) 0.3 (b) 0 (c) -0.15 (d) -1/2 (e) -7/5
e
Which is the third smallest value? (a) -3.9 (b) -2 (c) 4 (d) 0.4
d
Which is the ... | {
"pile_set_name": "DM Mathematics"
} |
(7). Suppose -l*f + 102 = 11*f. Solve 10 = 8*h - f*h for h.
5
Let w be (-8 + 6 - -6)*126/4. Suppose 41*g - 39*g = w. Suppose -s + 3*s - 84 = -4*a, -g = -3*a - 3*s. Solve -a = 4*y - 1 for y.
-5
Suppose -5*n + 7*n - 10 = 0. Let l be 12/(3 + (-5)/n). Solve a = -l*a + 5*a for a.
0
Let y(h) = -h**3 - 5*h**2 + 5*h - 8. Let w... | {
"pile_set_name": "DM Mathematics"
} |
+ 3060*h**2
Let u(b) = 114*b + 112*b + 121*b - 327*b. Let c(d) = -d. Determine u(c(h)).
-20*h
Let r(s) = -173*s**2. Let h(u) be the second derivative of u**3/2 - 36*u + 5. Determine h(r(x)).
-519*x**2
Let k(q) = 5*q**2. Let g(w) = -6387*w**2. What is k(g(m))?
203968845*m**4
Let s(o) = 5 + 5*o**2 - 5. Suppose -9 = -9*i ... | {
"pile_set_name": "DM Mathematics"
} |
ree letters picked without replacement from hhhhaahhhhhahhhhhhhh. Give prob of sequence ahh.
34/285
What is prob of sequence vpgw when four letters picked without replacement from dppplgpdppvdldpdw?
1/8160
Three letters picked without replacement from tpppptppppptptpplppt. Give prob of sequence ltt.
1/342
Calculate pro... | {
"pile_set_name": "DM Mathematics"
} |
03
List the prime factors of 2884612951.
11, 109, 503, 4783
List the prime factors of 85949192.
2, 7, 71, 21617
What are the prime factors of 1048055465?
5, 563, 372311
What are the prime factors of 4831489043?
19, 23, 11056039
List the prime factors of 28648583.
1597, 17939
What are the prime factors of 4712644287?
3,... | {
"pile_set_name": "DM Mathematics"
} |
t z(i) = 3*i**3 + 4*i**2 + 40*i - 4. Give 4*u(g) - 5*z(g).
-3*g**3 - 40*g
Let t(b) = -116*b**2. Let a(d) = -117*d**2. Give 3*a(w) - 2*t(w).
-119*w**2
Let u(i) = 3*i**2 + 4*i + 149. Let z(q) = 2*q**2 + 3*q + 148. What is 3*u(a) - 4*z(a)?
a**2 - 145
Let y(z) = 7*z**3 + 4*z**2 - z + 6. Let h(v) be the first derivative of ... | {
"pile_set_name": "DM Mathematics"
} |
e in -2/13, -1/3, 8, 1.9?
-2/13
Which is the third biggest value? (a) -2/9 (b) -3 (c) -2/25
b
Which is the smallest value? (a) -1 (b) -0.3 (c) -4 (d) 5/6
c
Which is the smallest value? (a) 2 (b) -4 (c) -1/3
b
Which is the third smallest value? (a) 2/15 (b) -4 (c) -2/11
a
Which is the second biggest value? ... | {
"pile_set_name": "DM Mathematics"
} |
/(o**(-5)*o)*o**(1/6)) assuming o is positive.
o**(-51/2)
Simplify c**(-1/10)/c*(c*c**(-2)/c*c)/c*c/(c**(-2/5)*c*c)*c**(2/13)/c assuming c is positive.
c**(-591/130)
Simplify ((((((x*x**(-4/9))/x)/x)/x)/(x**(-11)/x))**(-20))**(-4/19) assuming x is positive.
x**(6880/171)
Simplify ((i*i**(-1/8))/i*(((i*i/(i/i**(-1/4)*i)... | {
"pile_set_name": "DM Mathematics"
} |
*a + 1 = -3*o, -3*a + f = 2*o - 3*o for a.
4
Suppose 3*p - w = 61, 3*p + 3*w + 39 = 96. Suppose 0 = 8*z - 12 - p. Let v be (-10)/(60/9)*z/(-3). Solve 5*d = v*g + 2*d + 3, 2*g - 2*d = 0 for g.
3
Let j = 474 + -465. Let o be 5/(((-18)/j)/(-14)). Solve -2*u = 5*i + 16 + 10, -5*u = 5*i + o for i.
-4
Let f be (-1199)/(-6) -... | {
"pile_set_name": "DM Mathematics"
} |
+ 7*r + 8 - 5*r**f + 0*r**3 - 12. Let z be (-2)/((0 - 2)/4). What is g(z)?
8
Let l(g) be the first derivative of -g**4/4 - 5*g**3/3 - g**2/2 + 4. What is l(-2)?
-10
Let s(u) = 3*u + u + 6 + 0*u - u**2. Let l be s(5). Let p(x) = -x - 2*x - l + 2*x. Give p(-1).
0
Let j = -25 - -28. Let y(w) = w - 2. Calculate y(j).
1
Let... | {
"pile_set_name": "DM Mathematics"
} |
-4*u = -3*u + 3. Let i(v) be the second derivative of v**5/20 + v**4/3 - v**2/2 + 4*v - 15. Give i(u).
8
Let y(k) be the second derivative of -5*k**3/3 - k**2/2 + 42*k. Give y(1).
-11
Let z(v) = -4*v**3 - 15*v**2 + 21*v + 14. Let u(o) = -o**3 - 4*o**2 + 5*o + 4. Let r(h) = 9*u(h) - 2*z(h). Determine r(-7).
36
Let c(j) ... | {
"pile_set_name": "DM Mathematics"
} |
-4*m - 4, -2*i + 0*m + 2 = 2*m for i.
1
Solve 5*k = 3*c + 13, -3*k + 32 = 3*c + k for c.
4
Solve -4*y - 27 = 3*w, -5*w - 46 + 18 = y for y.
-3
Solve 82*g - 8 = -2*d + 78*g, 5*d + 5*g = 5 for d.
-2
Solve -5*q + 5*s = 5, s + 2*s - 3 = 5*q for q.
0
Solve 4*p + 21 = 2*c - 1, 0 = 5*p - 4*c + 32 for p.
-4
Solve y - 4 = -4*f,... | {
"pile_set_name": "DM Mathematics"
} |
2/(-42)?
2
Let b(d) = -d**3 - 8*d**2 - 7*d + 9. Let h be b(-7). Let g be 12/h - 46/(-6). Let a = -3 + g. What is the units digit of a?
6
Let g(f) = f**3 - 3*f + 11. What is the hundreds digit of g(13)?
1
Let j(v) = -109*v - 3. Let r be j(-2). Suppose -118 = 2*i - 2*q, 4*i + 3*q + 42 + r = 0. Let p = -39 - i. What is th... | {
"pile_set_name": "DM Mathematics"
} |
4 - 4*n*p - 380*n wrt p.
16*n**3 + 4850292*n*p**2
Find the second derivative of 3*t**4 + 92*t**3 + 98820*t**2 + 222*t - 272333 wrt t.
36*t**2 + 552*t + 197640
Find the third derivative of 8*m**2*o**3 + 113*m**2*o**2 + 16328*m*o**3 - 45*m*o**2 - 28*o**3 - 105 wrt o.
48*m**2 + 97968*m - 168
Find the third derivative of -... | {
"pile_set_name": "DM Mathematics"
} |
1/(((-8)/(-2))/4). Does 11 divide f(i)?
False
Let o be ((-22)/(-33))/((-2)/(-6)). Suppose -o*x = 6*t - t - 26, -2*t = -3*x - 18. Is t even?
True
Suppose 0 + 2 = 2*r. Let z be (2 - 3)*r*9. Let o = z - -16. Is o a multiple of 7?
True
Does 4 divide (0 + -2 + 1)*-13?
False
Let h(u) = -u**3 + 2*u**2 + 3*u + 4. Let d be h(3... | {
"pile_set_name": "DM Mathematics"
} |
a(l) = 2*l**2 - 2*l + 1. Let z be a(3). Let m = z + -8. Let y = 20 - m. Solve 5*d = f - y, f - 3*f = -2*d + 2 for f.
-5
Let n = -56 + 66. Let k(u) be the first derivative of u**2/2 + 8*u - 2. Let b be k(-4). Solve -b*f = y - 4*y + 31, -2*y = -n for f.
-4
Let a = -5 + 0. Let s(m) = m**3 + 2*m**2 - 7*m - 7. Let c be s(a... | {
"pile_set_name": "DM Mathematics"
} |
x = -c for d.
3
Let n(l) = -l**3 + 2*l**2 + 6*l - 2. Let x be n(4). Let s = 10 - x. Solve 0 = -3*t - t - s for t.
-5
Let c be ((-1)/(-3))/((-5)/(-135)). Solve -5*s + c*s = 8 for s.
2
Suppose 5*x + 42 - 112 = 0. Solve -3*h + 5 - x = 0 for h.
-3
Suppose -2*v = v + 3*s - 9, 3*v - 44 = 4*s. Let w be 1*-2 - v/(-4). Solve -... | {
"pile_set_name": "DM Mathematics"
} |
0 + 3. Let x be (-74)/185*10/((-4)/2). Let f(a) = -7*a**3 - 3*a**2 + a + 5. Let h(j) = 3*j**3 + j**2 - 2. Calculate r*h(t) + x*f(t).
t**3 - t**2 + 2*t
Let t(l) = l**2 - 6*l - 6. Let m(q) = 2*q**2 - 7*q - 7. Determine -6*m(n) + 7*t(n).
-5*n**2
Let t(y) = 14*y - 5. Let u(k) = -13*k + 4. What is -2*t(c) - 3*u(c)?
11*c - ... | {
"pile_set_name": "DM Mathematics"
} |
t + 1. What is a(r)?
3
Let a be 3*5/(-75) + (-4)/5. Let u(n) = 4*n**3 - n. Determine u(a).
-3
Suppose 2*z = -s - 11, 6*z + 17 = z + s. Let r(f) be the third derivative of -1/30*f**5 - 7/24*f**4 + 0 - f**3 + f**2 + 0*f. Determine r(z).
-10
Let a(u) = -u**3 - 9*u**2 + 23*u + 14. Let p be a(-11). Let m(q) be the first de... | {
"pile_set_name": "DM Mathematics"
} |
288*n**2
What is the second derivative of 32737*o**3 - o**2 + 3*o + 2224 wrt o?
196422*o - 2
Find the second derivative of -14448*k**4*s - 18*k**4 - k*s + 3*k - 134 wrt k.
-173376*k**2*s - 216*k**2
What is the second derivative of 819908*a**2*v**3 + 858776*a*v**3 + a*v wrt a?
1639816*v**3
Differentiate 1507*r**4 - 355*... | {
"pile_set_name": "DM Mathematics"
} |
6 + l - y. Determine a(x(v)).
18*v + 1
Let o = 748 - 648. Let d(g) = -2154 - o*g**2 + 2154. Let j(m) = -3*m**2. What is j(d(h))?
-30000*h**4
Let u(d) = -1589*d. Let s(l) be the third derivative of l**4/12 + 10*l**2 - 12. Determine u(s(b)).
-3178*b
Let g(c) = -2*c. Let w(k) be the third derivative of k**7/504 - 8*k**4/3... | {
"pile_set_name": "DM Mathematics"
} |
ed to four decimal places?
-0.002
Round 1569497.9 to the nearest ten thousand.
1570000
What is 0.072284 rounded to 2 dps?
0.07
Round -0.002055824 to 6 decimal places.
-0.002056
What is 580530 rounded to the nearest one hundred thousand?
600000
Round 11089.72 to the nearest ten.
11090
What is 0.0359258 rounded to four d... | {
"pile_set_name": "DM Mathematics"
} |
1202, 1223, 1246, 1271?
z**2 + 14*z + 1151
What is the o'th term of 36, 94, 180, 294?
14*o**2 + 16*o + 6
What is the q'th term of 3, 3, 9, 27, 63, 123, 213, 339?
q**3 - 3*q**2 + 2*q + 3
What is the z'th term of 378, 371, 364?
-7*z + 385
What is the y'th term of -4650, -4649, -4648, -4647, -4646, -4645?
y - 4651
What is... | {
"pile_set_name": "DM Mathematics"
} |
gger: f or -1?
-1
Suppose 0 = -a - 9 + 6. Let q be -4 + (0 - 3) + a. Which is smaller: q or -8?
q
Let k = 0.78 + -0.08. Let i = k - 0.15. Let y = i - 0.05. Is y not equal to -1?
True
Suppose -p = -6*p + 15. Suppose 5*j = 2*x + 6, 5*j - 2*x + 3 = -p*x. Which is greater: j or 1?
1
Suppose -5*k + 14 = -2*q + 31, -q = 2*k ... | {
"pile_set_name": "DM Mathematics"
} |
ivative of -d**6/30 - d**5/20 + d**4/4 + d**3/6 - d**2 - 23*d. Factor j(b).
-(b - 1)**2*(b + 1)*(b + 2)
Let b(o) be the third derivative of -o**11/831600 + o**10/378000 + o**5/12 + o**2. Let c(h) be the third derivative of b(h). Let c(d) = 0. Calculate d.
0, 1
Let k(h) = h**4 + 4*h**2 + 2*h - 1. Let z(c) = 3*c**4 + 9*c... | {
"pile_set_name": "DM Mathematics"
} |
p**2. Let g(m) = 606*m**2 + 4. Give o(g(v)).
367236*v**4 + 4848*v**2 + 16
Let q(o) = 88842*o**2. Let a(f) = -41*f - 2. Calculate a(q(i)).
-3642522*i**2 - 2
Let l(u) = 2*u + 4. Let o(p) = -3*p**2 - 9*p + 460. Calculate o(l(d)).
-12*d**2 - 66*d + 376
Suppose -15 = 2*b + 6*w - 9*w, -b - 1 = 5*w. Let y(i) = 48*i + 11. Let ... | {
"pile_set_name": "DM Mathematics"
} |
ve p*d - 3*d = m for d.
-4
Suppose 17*v + 734 = 139. Let k be (2/10)/(7/v) - -5. Solve -7*o - 3 = -k*o for o.
-1
Let l(u) = -u**3 - 7*u**2 - 5*u + 6. Let a be l(-6). Suppose 0 = i + 3*z - 29, -7*i + 2*i - 2*z = -93. Suppose i*p = 34*p - 11*p. Solve 2*k + a + 6 = p for k.
-3
Suppose -106*n + 103*n = -15. Let t = n - 5. ... | {
"pile_set_name": "DM Mathematics"
} |
ivide 145495854?
False
Is 57522804 a multiple of 221?
False
Is 7 a factor of 1934044?
True
Does 233 divide 19174151?
False
Does 8 divide 79726260?
False
Does 133 divide 4106724790?
True
Is 31587878 a multiple of 34?
False
Does 161 divide 1445607891?
True
Does 67 divide 12237416?
True
Is 941470055 a multiple of 6?
False... | {
"pile_set_name": "DM Mathematics"
} |
djhfhxfhhhjb?
1/78
Calculate prob of picking 1 j, 1 a, and 1 c when three letters picked without replacement from {c: 2, t: 2, a: 1, p: 1, j: 1}.
2/35
Two letters picked without replacement from gspppigpppppgpsp. Give prob of picking 2 g.
1/40
Two letters picked without replacement from cccxcxxxxccccxccxxcx. Give prob ... | {
"pile_set_name": "DM Mathematics"
} |
- 5. Suppose -1 = 4*r + 3*v + 10, -5*r - 34 = -3*v. Let y(k) = -9*k**3 - 5*k**2 + 7*k + 3. Calculate r*l(n) - 8*y(n).
2*n**3 - n + 1
Let o = 106 - 104. Let u(c) = c**2. Let y(v) = -5*v**2 + 2*v - 2. What is o*u(z) + y(z)?
-3*z**2 + 2*z - 2
Suppose 4*l + 15 = -l. Let q(b) = 5*b**2 + 3*b. Let c(y) = -24*y**2 - 14*y. Giv... | {
"pile_set_name": "DM Mathematics"
} |
). Suppose n*z - 14 = 12. Suppose 0 = -3*h + 2*a + z, -8 = 3*a - 2. Does 2 divide h?
False
Suppose -u - 1 + 4 = 0. Let m = u - -6. Let g = m + -7. Does 2 divide g?
True
Let h = 16 + -42. Let r be (-66)/(-14) + h/(-91). Suppose 80 = 5*f - r*v, 3*v + v = -4. Is 7 a factor of f?
False
Let w = 64 - -42. Is 10 a factor of w... | {
"pile_set_name": "DM Mathematics"
} |
List the prime factors of 270448.
2, 16903
What are the prime factors of 7028101?
7028101
List the prime factors of 1921821.
3, 11, 58237
List the prime factors of 442735.
5, 88547
List the prime factors of 17736233.
17736233
What are the prime factors of 7736564?
2, 11, 17, 10343
What are the prime factors of 633227?
... | {
"pile_set_name": "DM Mathematics"
} |
es 0.13?
18.3846
Calculate -0.4*5707.22.
-2282.888
-8*-39889
319112
Product of 0.06513 and -3.
-0.19539
Product of -3 and 62875.
-188625
-20554 times -0.6
12332.4
588 times -338
-198744
0.046 times -35697
-1642.062
Work out -3 * 161.36.
-484.08
-3.0336 * 0.053
-0.1607808
What is the product of 0.3 and 8.028?
2.4084
Mul... | {
"pile_set_name": "DM Mathematics"
} |
lect the terms in -13*j**2 - 5*j**2 + 18*j**2 + 16*j**3.
16*j**3
Collect the terms in v - 22*v + 14*v + 6*v.
-v
Collect the terms in -5 + 11 + 12*w - 6.
12*w
Collect the terms in -84*r**2 + 34*r**2 + 46*r**2.
-4*r**2
Collect the terms in -4348*i + 2155*i - i**2 + 2193*i.
-i**2
Collect the terms in 1 + 1 + 16*m - 2.
16*... | {
"pile_set_name": "DM Mathematics"
} |
3554765 to the power of 1/6, to the nearest integer?
26
What is the square root of 32167425 to the nearest integer?
5672
What is 6214020 to the power of 1/3, to the nearest integer?
184
What is the tenth root of 3776920666 to the nearest integer?
9
What is the square root of 88104916 to the nearest integer?
9386
What i... | {
"pile_set_name": "DM Mathematics"
} |
Let n = -7164 + 7437. Calculate the remainder when n is divided by 40.
33
Suppose 56*t - 4 = 54*t. Suppose -t = 6*k - 32. Suppose 2*i + 6 = k*i. Calculate the remainder when i is divided by 2.
0
Let o = -624 - -640. Calculate the remainder when 1/6*-6 - -4*o is divided by 46.
17
Let p = 18486 - 18024. Calculate the rem... | {
"pile_set_name": "DM Mathematics"
} |
*a**2 - 78*a + 8. Determine v(5).
-7
Let v(t) = 2*t**2 - 6*t + 1. Give v(2).
-3
Let b(j) = -j**2 - 5*j + 30. Determine b(-9).
-6
Let o(v) = 8*v + 63. Calculate o(-9).
-9
Let v(h) = -h**3 + 11*h**2 + 45*h - 498. What is v(11)?
-3
Let n(q) = -q**3 + 11*q**2 - 7*q + 25. Determine n(11).
-52
Let l(g) = 2*g**3 + g**2 - 3*g ... | {
"pile_set_name": "DM Mathematics"
} |
nteger?
-35
Let z = 691015.2678853 + 3641.7400747. Let w = z + -694575. Let l = w + -82. What is l rounded to 3 decimal places?
0.008
Suppose 0 = 4*u - 5*u + 6. Let o be (4/u)/(10/75). Suppose -i - y + 4999988 = -4*y, 3*i = o*y + 14999980. What is i rounded to the nearest 1000000?
5000000
Suppose 3*u = 4*n + 6858204, 5... | {
"pile_set_name": "DM Mathematics"
} |
p(-19). Which is smaller: -74/21 or n?
-74/21
Suppose -2*s - 36 = -50. Let f = s + -13. Let u be -50 + 0 + ((-6)/(-1))/f. Are -50 and u equal?
False
Let i = 0.22483 + 5.34517. Which is smaller: 1 or i?
1
Let n = 456.9899 + 0.0101. Let l = n + -456. Is l equal to 0.6?
False
Let v be (-4)/10 + 4/10. Let d be -2 + 1 - (1... | {
"pile_set_name": "DM Mathematics"
} |
he remainder when (8925/(-34))/(-21)*(3 + -1) is divided by n.
7
Let z be (-316)/26 + (-56)/(-364). Let j(u) = -3*u**2 - 36*u + 12. Calculate the remainder when (-2)/(-4)*8*8 is divided by j(z).
8
Let x = 1091 + -754. Let f = x - 217. Calculate the remainder when f is divided by 32.
24
Suppose 3*n - 167 = 6*k - 7*k, -4... | {
"pile_set_name": "DM Mathematics"
} |
2. Let b(p) be the third derivative of -p**6/240 + 17*p**4/8 + 34*p**2. Let d(n) be the second derivative of b(n). Give d(g(x)).
540*x**2
Let b(r) be the first derivative of -9 + 12 - 2 - 2*r**3. Let s(p) = 11 + 0 + p - 11. Determine s(b(g)).
-6*g**2
Let t(y) = 61*y. Let n(p) = -177522*p. Determine n(t(b)).
-10828842*b... | {
"pile_set_name": "DM Mathematics"
} |
t derivative of -205*w**4/4 + 871*w + 887. What is the derivative of c(f) wrt f?
-615*f**2
Let j be (-1)/(-2*(-1)/(-18)). Let v = 11 - j. Find the second derivative of -3*m - 6*m**v + 3*m - 6*m wrt m.
-12
Let w(i) = -6*i**3 - 10*i**2 + 3. Let r = 158 + -161. Let b(v) = -5*v**3 - 11*v**2 + 2. Let k(z) = r*b(z) + 2*w(z).... | {
"pile_set_name": "DM Mathematics"
} |
b be (-11)/9 + (-4)/(-18). Which is smaller: a or b?
a
Let p be (-2)/(8/(-12)) + -8. Let x be 2/((-1 + 0)/p). Let w = x - 8. Which is bigger: w or 0?
w
Suppose -16*a + 5*a + 264 = 0. Which is smaller: 25 or a?
a
Suppose -3*k + k = 5*i - 4, 3*i + 5*k - 10 = 0. Let s be (-3 - i/(-1)) + -9. Is -12 at most s?
True
Suppose... | {
"pile_set_name": "DM Mathematics"
} |
tive of -1316*c**5*s**3 + c*s**3 - 105*c wrt c.
-26320*c**3*s**3
Differentiate -5*c**2*q**2 + 329*c + 74*q**2 - 12*q wrt c.
-10*c*q**2 + 329
What is the derivative of 10*f**2 - 28*f + 1236 wrt f?
20*f - 28
Find the second derivative of 86*m*w**3 - 757*m*w + 2*w**4 - 7*w**3 - 3*w - 1 wrt w.
516*m*w + 24*w**2 - 42*w
Find... | {
"pile_set_name": "DM Mathematics"
} |
e value of (-93)/465*-100*7/((-840)/(-25))?
25/6
What is (528/(-80))/((-570)/950)?
11
What is the value of (6/(-3600)*-25)/(((-10)/(-9))/5)?
3/16
What is the value of (6/(-27))/((-26)/(-2964)*-19*12/15)?
5/3
Calculate (1/3)/((-8)/(-864)*(1292/(-85))/19).
-45
What is the value of (300/(-1440))/((-2)/(88/165))?
1/18
Eval... | {
"pile_set_name": "DM Mathematics"
} |
9 + 33. Let g(h) = -9*h**3 + 7*h. Let q(c) = v*g(c) + 5*o(c). Find the second derivative of q(u) wrt u.
-24*u
Let c(b) be the third derivative of -13*b**8/112 + 31*b**5/60 - 27*b**2. What is the third derivative of c(h) wrt h?
-2340*h**2
Suppose 4*p + 0*a + 2*a + 32 = 0, 0 = -2*p - 4*a - 22. Let m = p - -10. Differenti... | {
"pile_set_name": "DM Mathematics"
} |
3*i - 2
Expand r**3 + 0*r**3 + r**3 + (-3 + 4 - 5*r**2 + 3*r**2 + 4*r)*(174*r + 428*r - 102*r).
-998*r**3 + 2000*r**2 + 500*r
Expand -f**2 - f**5 + f**2 + (-3*f + 5*f - 3*f)*(-17*f**4 - 12*f + 12*f) + 22*f**5 + 136 - 136.
38*f**5
Expand (-64*c**2 + 668*c**2 + 553*c**2)*(5 - 2 - 1 + (-1 + 0 - 1)*(4 - 1 - 1)).
-2314*c**2... | {
"pile_set_name": "DM Mathematics"
} |
h + 1254. What is the hundreds digit of s?
5
Let y = 4088 - 2310. What is the tens digit of y?
7
Let a = 10061 - 8934. What is the tens digit of a?
2
Let d = 36684 - 11078. What is the hundreds digit of d?
6
Let k be (-4)/(-3)*(-18)/(-12)*5. Suppose -4*q + 270 + k = 0. Let i = 68 + q. What is the units digit of i?
8
L... | {
"pile_set_name": "DM Mathematics"
} |
4464*k**3.
-5*k**3
Collect the terms in 6*c**2 + 2 - c**2 - 5*c**2 + 7*c - 3*c**3.
-3*c**3 + 7*c + 2
Collect the terms in 16572*j**3 - 8950*j**3 - 7620*j**3.
2*j**3
Collect the terms in -3851 - 5385*p + 3851.
-5385*p
Collect the terms in -2086045*x**2 + 18*x**3 + 2086045*x**2.
18*x**3
Collect the terms in -j - 377*j**3... | {
"pile_set_name": "DM Mathematics"
} |
3, 0.1, 5, 0.62, 6.5, 1?
1
Which is the closest to -0.1? (a) 15 (b) 8283 (c) 18
a
Which is the closest to -56? (a) -8 (b) -1/7 (c) 1.741
a
What is the closest to -141 in -0.4, -63.1, 43?
-63.1
What is the nearest to -3 in -475, -137, -5, 0.4?
-5
Which is the nearest to -20? (a) 965 (b) 2/9 (c) -6 (d) -1/5 (e... | {
"pile_set_name": "DM Mathematics"
} |
494
Find z, given that -3*z**2 + 40146*z = 0.
0, 13382
What is v in -v**4/4 - 4207*v**3/4 + 63255*v**2/4 - 316525*v/4 + 263875/2 = 0?
-4222, 5
Factor -1839*z**2/7 - 11037*z/7 - 18/7.
-3*(z + 6)*(613*z + 1)/7
Let -3*b**2/2 + 5415*b + 10836 = 0. Calculate b.
-2, 3612
Find n, given that -4*n**3 + 252*n**2 + 11224*n + 4060... | {
"pile_set_name": "DM Mathematics"
} |
-19.89. Let s = 1.69 - 1.8. Let n = s - g. Which is the closest to 1? (a) -1 (b) n (c) -2
b
Let v = -0.65077 - 0.04923. Which is the nearest to 1? (a) -29 (b) 4 (c) v
c
Suppose -3*b + 47*v + 55 = 51*v, 4*b = -5*v + 72. Let j be (89 - 84) + b/(-2). What is the nearest to 0 in -2/9, -3, 2, j?
-2/9
Let v = 9.999 + 1... | {
"pile_set_name": "DM Mathematics"
} |
number?
True
Is 9086071373 a prime number?
False
Is 6118278843 a prime number?
False
Is 64091934383 a composite number?
True
Is 8298990757 a prime number?
True
Is 21325307387 a prime number?
True
Is 17240457977 a prime number?
True
Is 1839184769 prime?
True
Is 285078581 a prime number?
True
Is 13210557247 prime?
True
... | {
"pile_set_name": "DM Mathematics"
} |
t of z(8)?
6
Suppose 0 = -5*n + h + 4334, -2*n = -2*h + 5*h - 1720. What is the tens digit of n?
6
Let y = 1 + 9. Let n(s) = -s**2 + 12*s - 18. Let f be n(y). What is the units digit of 59 + 5/((-5)/f)?
7
Let w(x) be the third derivative of 0 + 1/30*x**5 - 1/6*x**3 - 6*x**2 + 1/8*x**6 + 0*x - 1/24*x**4. What is the ten... | {
"pile_set_name": "DM Mathematics"
} |
**6 - 1/42*k**7 + 0*k**4 - 2/3*k**3 + 0. Differentiate b(q) with respect to q.
-20*q**3
Let a(t) = 25*t**4 - 13*t**2 + 17*t + 13. Let o(s) = 12*s**4 - 6*s**2 + 8*s + 6. Let m(v) = -6*a(v) + 13*o(v). Find the second derivative of m(u) wrt u.
72*u**2
Let d(y) be the first derivative of -y**3 - 3*y**2 + 7*y - 9. Let c(j) ... | {
"pile_set_name": "DM Mathematics"
} |
(-2)/(-7). Which is bigger: f or i?
i
Let k = 5 + 0. Suppose 4*v - 28 = 4*a, -k*v = -0*a - 2*a - 23. Let u be (-2)/3 - 1/v. Is -1/7 > u?
True
Let p = -112 + 104. Which is smaller: 2 or p?
p
Suppose -5*p - 2*b = -3, 2*b - 2 = 3*p + 9. Are p and 1/56 equal?
False
Let h = -32 - -49. Is h less than or equal to 15?
False
Le... | {
"pile_set_name": "DM Mathematics"
} |
What is prob of sequence pn?
1/3
Four letters picked without replacement from {g: 11, b: 1, k: 2}. What is prob of sequence gkkg?
5/546
What is prob of sequence pqp when three letters picked without replacement from qpqpqqqppqpqqqqppqq?
28/323
Calculate prob of sequence no when two letters picked without replacement fr... | {
"pile_set_name": "DM Mathematics"
} |
3 + 14*w**2 - 13*w + 5. Let b be o(13). Suppose i - 5*c = 4, 5*i = -3*c + 6*c + 42. Suppose -6 = -b*j + i. Solve -s + 10 = -j*s for s.
-5
Let b be 4/(-26) + (-4)/(-26). Let z = 3 - -3. Let t be (b - (z - 3))*-1. Solve 2*u = u - t for u.
-3
Let z be 2/(-11) - (-2)/11. Let m be 1 - (1 - (1 - z)). Solve g + m = -3 for g.
... | {
"pile_set_name": "DM Mathematics"
} |
0.
-545, -9
Let -4*f**5 - 3116*f**4 + 57060*f**3 - 258228*f**2 = 0. What is f?
-797, 0, 9
Suppose -4*u**2 - 1074867*u + 268717 = 0. What is u?
-268717, 1/4
Solve 4*f**5/5 - 2116*f**4/5 + 285032*f**3/5 - 1360304*f**2/5 - 1647456*f/5 = 0.
-1, 0, 6, 262
Solve -2*h**2/23 - 290*h/23 - 8528/23 = 0.
-104, -41
Suppose -l**2/5... | {
"pile_set_name": "DM Mathematics"
} |
e 7612?
False
Is 53 a factor of 1194?
False
Is 6 a factor of 12353?
False
Is 3423 a multiple of 141?
False
Is 5265 a multiple of 25?
False
Does 27 divide 2454?
False
Is 11 a factor of 3256?
True
Is 280 a multiple of 7?
True
Does 29 divide 13891?
True
Is 768 a multiple of 24?
True
Is 2496 a multiple of 13?
True
Does 17 ... | {
"pile_set_name": "DM Mathematics"
} |
0. Which is the closest to -1? (a) -1 (b) w (c) -3/5 (d) -2/11
a
Let q = -342 + 343. Which is the nearest to q? (a) 0.4 (b) 26 (c) -4
a
Let n = -44 + 68. Let p = -25 + n. Which is the nearest to p? (a) -2/7 (b) -0.3 (c) -4
b
Let g be (-1 - 1)/((-5 + 6)*9). Let t = 4.75 - -0.25. Which is the closest to 6? (a)... | {
"pile_set_name": "DM Mathematics"
} |
3 + 3. Let t(j) = j + 3. Give 5*t(y) + 2*w(y).
y + 1
Let w(f) = -6 + 8 - f - 5. Let c(r) = -2 + 3 + 0 - 2. Calculate 4*c(v) - w(v).
v - 1
Let c = 7 - 25. Let s(a) = 0*a**2 - 3 - a**2 + 2. Let l(g) = 8*g**2 + 9. Calculate c*s(j) - 2*l(j).
2*j**2
Let s(o) = -7*o - 4. Let l(v) = v + 8 + 10*v + 9*v + 3. Determine 4*l(g) + ... | {
"pile_set_name": "DM Mathematics"
} |
from mdddvdvndddmvv.
1/13
Four letters picked without replacement from uunnumnuuumuuuuuuuuu. What is prob of sequence nuuu?
91/1292
What is prob of sequence xx when two letters picked without replacement from {m: 5, p: 12, x: 2}?
1/171
Two letters picked without replacement from {n: 2, s: 18}. What is prob of sequence... | {
"pile_set_name": "DM Mathematics"
} |
133 - x. What is the nearest to i in -0.3, 0.4, 0?
0
Suppose -9*s = -41*s + 96. Which is the nearest to s? (a) 2/5 (b) -3/5 (c) 1/9 (d) -2/33
a
Let q = 8.99 + 0.01. Let r = 7 + -6. Suppose -4*y - 2*i - 1 - 11 = 0, -5*y - 2*i = 17. Which is the closest to r? (a) q (b) y (c) -3
c
Let z = 318 - 2227/7. What is the... | {
"pile_set_name": "DM Mathematics"
} |
1810664 to the nearest integer?
1346
What is 10065 to the power of 1/4, to the nearest integer?
10
What is the fifth root of 12600740 to the nearest integer?
26
What is the square root of 5955362 to the nearest integer?
2440
What is 11341722 to the power of 1/3, to the nearest integer?
225
What is the square root of 29... | {
"pile_set_name": "DM Mathematics"
} |
*-6.51033
1.953099
What is -2 times -0.23046?
0.46092
What is the product of -41 and -130.11?
5334.51
Multiply -58154 and -1.
58154
0.23*36.615
8.42145
Work out 0.4 * 219568.
87827.2
-18.4 * 17.4
-320.16
Work out 138 * -14517.
-2003346
Product of -2 and -7.2139.
14.4278
Calculate 49239*-83.
-4086837
-411.1329 * 3
-1233... | {
"pile_set_name": "DM Mathematics"
} |
-7/6
Evaluate (-3)/45*-2*(-231)/22.
-7/5
2/(-2)*1*(-9)/(135/165)
11
What is ((-2568)/3424)/(26/8)?
-3/13
Evaluate ((-70)/(7350/(-45)))/(((-2)/(-7))/2).
3
What is -1*(-27)/2*(-204)/(-459)?
6
What is 648/(-108)*3/(-15)?
6/5
What is the value of (-10)/105*(-9)/(-30)*70/28?
-1/14
What is the value of (((-4)/(-3))/(-4))/((-... | {
"pile_set_name": "DM Mathematics"
} |
33
List the prime factors of 405653.
233, 1741
List the prime factors of 23570256.
2, 3, 569, 863
What are the prime factors of 163641?
3, 54547
List the prime factors of 731315.
5, 13, 11251
What are the prime factors of 1722459?
3, 113, 5081
What are the prime factors of 731780?
2, 5, 7, 5227
List the prime factors o... | {
"pile_set_name": "DM Mathematics"
} |
9 = 0. Solve j + 12 = m*j for j.
3
Let h(z) = 2*z**2. Let a be h(1). Let u(f) = -4*f + 163. Let l be 30/((-5)/(20/(-3))). Let m be u(l). Solve a = -m*b + 5 for b.
1
Let i be 54/27 + (2 - (1 + -1)). Suppose 4*t + 16 + 4 = -3*s, -4*s - t = 18. Let x(p) = -p**3 - 3*p**2 + 3*p + 6. Let g be x(s). Solve -10 = -i*z + g for z... | {
"pile_set_name": "DM Mathematics"
} |
third derivative of 279*b*h*x**3 - 2*b*h*x**2 - 130*b*x**2 + 9*b*x - 420*h*x**5 - 2*h*x**3 - 28*h wrt x.
1674*b*h - 25200*h*x**2 - 12*h
What is the derivative of -88752667*c**4 + c*o**3 - 4*o**3 + 17*o**2 - 185725 wrt c?
-355010668*c**3 + o**3
Find the second derivative of 23236871*d**3 - 360*d - 8028 wrt d.
139421226*... | {
"pile_set_name": "DM Mathematics"
} |
80/(-42)*(-42)/w?
6
Let z be 1 + (646 - 0/(-7)). Let i = z - 158. What is the units digit of i?
9
Let u(s) = -28*s**2 + 32*s - 182. Let j be u(8). What is the units digit of 1/(-1 + -3 - 6874/j)?
9
Suppose 0 = -3*x - 0*x + 9. Suppose 5*d + 12 = -2*h + 6*h, -x*d - 2*h = -6. Suppose d = -w - w + 54. What is the tens digi... | {
"pile_set_name": "DM Mathematics"
} |
he greatest common divisor of x and v?
29
Let x = -3 - -4. Let k be 1 - (2 + 64/(-2)). Suppose 3*h + k = 4*w + w, -18 = -4*w - h. What is the highest common divisor of w and x?
1
Let o(m) = 3 + m**3 + 8*m**2 - m**2 + 0*m**2. Let p be o(-6). Suppose -2*g + 12 = 2*i, g + 3*g - i - p = 0. Calculate the highest common divi... | {
"pile_set_name": "DM Mathematics"
} |
f in ascending order.
-1, h, 2, f
Let i = -15 + 18. Suppose 1 + i = -b. Put b, -2, -1 in increasing order.
b, -2, -1
Let h = 17/21 - 1/7. Let p = 0.741 + -0.541. Put 3, p, -1/4, h in decreasing order.
3, h, p, -1/4
Let t = -0.33 - -0.66. Let c = 4.67 + t. Put 1/2, -2, -8/5, c in increasing order.
-2, -8/5, 1/2, c
Suppo... | {
"pile_set_name": "DM Mathematics"
} |
3. What are the prime factors of 6/r*(-114)/4?
19
Let s = 26 + -16. Suppose -s = -5*k + 20. List the prime factors of k.
2, 3
Suppose -9 = -h + 2*h. What are the prime factors of (6/h)/((-4)/66)?
11
Let f(n) = -n**3 - 2*n**2 + 96. List the prime factors of f(0).
2, 3
Let f(o) = -7*o**3 - 2*o + 1. Let u(r) = -15*r**3 - ... | {
"pile_set_name": "DM Mathematics"
} |
*-1 + sqrt(126)) - sqrt(126)) + sqrt(126))/(sqrt(2)*-2*-1)*3)**2.
0
Simplify 4 + ((sqrt(1300)*-3 + sqrt(1300))*-6 - sqrt(1300) - ((sqrt(1300) + sqrt(1300)*5)*6 - sqrt(1300))).
-240*sqrt(13) + 4
Simplify -5 + (sqrt(99)*3 + sqrt(99))**2 + -1 + -4.
1574
Simplify -4*(sqrt(68)/(4*sqrt(4)) + (sqrt(51)/(sqrt(3) + sqrt(75)) - ... | {
"pile_set_name": "DM Mathematics"
} |
is the tens digit of h?
6
Let r be (-5 + -1)*(-6)/18. Suppose g - r = 3*s - 29, 14 = -2*g - 4*s. What is the units digit of (228/g)/((16/(-60))/2)?
4
Let r be (-21)/14*(-28)/3. Suppose -660 = -r*y + 1342. What is the hundreds digit of y?
1
Let i(h) = -534*h + 230. What is the thousands digit of i(-16)?
8
Let q = 41 + ... | {
"pile_set_name": "DM Mathematics"
} |
g**2 - 37*g - 163. List the prime factors of z(-8).
3, 349
Suppose 3*n + 29 = 5*c, 0 = 4*n + 5*c + 9 + 18. Let o(t) = t**3 + 8*t**2 - t - 6. Let k be o(n). List the prime factors of (35 - k) + -5 + 3.
31
Let a = 625 + -346. What are the prime factors of a?
3, 31
Let l(d) = -3*d - 2 - 3*d**2 + 2*d**2 + d**2 + d**2. Wha... | {
"pile_set_name": "DM Mathematics"
} |
y. Suppose 8 = 4*a - y. Solve -4*k + 16 = -4*l, l = -5*k + a*k + 8 for k.
4
Let o(i) = -3*i**2 - 5 + 0*i**2 - 52*i + 0 - 7. Let g be o(-17). Solve 2*x - 10 = -2*q, 5*q - 3*x - g = 4 for q.
3
Let z = -1854 - -1867. Solve 3*f + 5*o - 20 + z = 0, 3*f + 7 = 2*o for f.
-1
Let f = 12 - 10. Suppose 0 = -4*a - f*g + 14, 10 = 3... | {
"pile_set_name": "DM Mathematics"
} |
in base 4?
-30
-20 (base 3) to base 11
-6
What is 9 (base 10) in base 3?
100
What is 9 (base 12) in base 2?
1001
Convert -1042 (base 7) to base 3.
-111211
1 (base 14) to base 8
1
Convert 7 (base 11) to base 3.
21
What is 76 (base 11) in base 14?
5d
2200 (base 3) to base 9
80
What is -351 (base 9) in base 13?
-193
What ... | {
"pile_set_name": "DM Mathematics"
} |
9, -6289, -6211, -6099?
-5947
What is the next term in -290479, -580956, -871433, -1161910, -1452387?
-1742864
What comes next: -13012, -13010, -13008, -13006, -13004?
-13002
What is next in 1259, 2365, 3471, 4577, 5683?
6789
What is the next term in 185920, 185933, 185946, 185959, 185972?
185985
What is the next term ... | {
"pile_set_name": "DM Mathematics"
} |
**3 - 53*s**3 + o*s**2 - 37*s**3 wrt s?
24*s + 120
Let m(c) be the first derivative of 0*c - 163/3*c**3 - 93 + 63/2*c**4 + 0*c**2. What is the third derivative of m(z) wrt z?
756
Let o(s) = -1464*s - 1927. Let c(z) = -488*z - 637. Let x(l) = -11*c(l) + 4*o(l). What is the derivative of x(p) wrt p?
-488
Suppose -2*a + 3... | {
"pile_set_name": "DM Mathematics"
} |
))/g*g)/g)/g))/(g/(g*g**(-1/6)/g)) assuming g is positive.
g**(571/66)
Simplify (h**0/((h/(h/(h/(h*h*(h/(h*h**10*h))/h*h*h))*h*h))/h))**(-36) assuming h is positive.
h**216
Simplify ((m*m/m**0)/m**9)/(m**(-2))**(-42) assuming m is positive.
m**(-91)
Simplify (k**(1/2))**31 assuming k is positive.
k**(31/2)
Simplify p/p... | {
"pile_set_name": "DM Mathematics"
} |
etermine r(-1).
-6
Let r(j) = j + 5. Let s be 2 + (-8)/4*1. Calculate r(s).
5
Let r be -18*(5 + -2)/6. Let w = r + 15. Let c(a) = -a**2 + 8*a - 8. Calculate c(w).
4
Let f(z) = -2*z + 1. Suppose -2*o + 3*o = 6. Let q be ((-16)/(-6))/(4/o). What is f(q)?
-7
Let f(o) = -o**3 + 2*o - 1. Let a = -6 - -14. Suppose 2*k = -4*j... | {
"pile_set_name": "DM Mathematics"
} |
utes after 10:03 AM?
9:15 PM
What is 530 minutes after 8:48 PM?
5:38 AM
How many minutes are there between 9:31 AM and 7:17 PM?
586
How many minutes are there between 5:17 PM and 5:37 PM?
20
How many minutes are there between 5:38 AM and 4:03 PM?
625
What is 667 minutes before 8:55 PM?
9:48 AM
What is 328 minutes befor... | {
"pile_set_name": "DM Mathematics"
} |
ge 4*r**2 - 29*r**2 + 4*r**2 + 8*r**2 + 5 to the form h + g*r + b*r**2 and give b.
-13
Express -5*a**2 + a**3 + 50*a**4 + 2*a**2 - 49*a**4 - 2*a - 1 + 6*a**2 in the form h*a + g*a**4 + r*a**3 + z*a**2 + v and give z.
3
Express (274*r - 274*r + 15*r**2)*(1 + 4 - 3)*(2 + 1 - 5) in the form o*r + w + z*r**2 and give z.
-6... | {
"pile_set_name": "DM Mathematics"
} |
ind the common denominator of -83/18 and 4 - (602/288 + (-12)/(-54)).
144
Find the common denominator of 43/7 and ((-6)/20)/(6/208).
35
Let n(x) = -x - 1. Let o be n(-3). Suppose -1 - 15 = -o*f. Calculate the least common multiple of 22 and f.
88
Let n = 11210378277/1629380 + 53/162938. Let w = -6885 + n. Find the comm... | {
"pile_set_name": "DM Mathematics"
} |
3
-1010
-1 (base 14) to base 12
-1
Convert -15 (base 6) to base 11.
-10
-24 (base 10) to base 7
-33
What is 7 (base 14) in base 11?
7
Convert -230 (base 5) to base 14.
-49
What is 0 (base 8) in base 9?
0
Convert -302 (base 10) to base 3.
-102012
What is -6 (base 9) in base 12?
-6
4 (base 14) to base 12
4
What is 70 (b... | {
"pile_set_name": "DM Mathematics"
} |
k**2 + 1540*k - 28
What is the o'th term of -42946, -171846, -386684, -687460, -1074174?
-42969*o**2 + 7*o + 16
What is the w'th term of 2338, 7407, 15214, 25759, 39042, 55063?
1369*w**2 + 962*w + 7
What is the q'th term of -1758, -4266, -7566, -11658, -16542, -22218?
-396*q**2 - 1320*q - 42
What is the x'th term of 1... | {
"pile_set_name": "DM Mathematics"
} |
6
Calculate the remainder when 150514 is divided by 25.
14
What is the remainder when 4900 is divided by 1498?
406
What is the remainder when 123169 is divided by 61576?
17
Calculate the remainder when 26820 is divided by 6702.
12
What is the remainder when 17267 is divided by 4311?
23
Calculate the remainder when 8045... | {
"pile_set_name": "DM Mathematics"
} |
. What is the units digit of c(-5)?
3
Let v = 2 + 1. Suppose -5*i + 4 = -v*i. What is the units digit of i?
2
Suppose -5*a = 2*y - 25, -6*y = -2*y - 3*a - 11. What is the units digit of y?
5
Suppose -4*h = 5*z - 0*h - 183, 3*z + 4*h - 105 = 0. What is the tens digit of (z/(-6))/(4/(-8))?
1
Let h(y) = -y**2 - 7*y - 5. L... | {
"pile_set_name": "DM Mathematics"
} |
earest integer?
2436
What is 170433 to the power of 1/3, to the nearest integer?
55
What is the square root of 558970 to the nearest integer?
748
What is 5009916 to the power of 1/9, to the nearest integer?
6
What is the third root of 14861080 to the nearest integer?
246
What is the cube root of 318021 to the nearest i... | {
"pile_set_name": "DM Mathematics"
} |
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