text stringlengths 270 8.19k | meta dict |
|---|---|
Let t = 7.1 + -0.1. Let s = t + -9. Which is greater: g or s?
s
Let w be ((-813)/4)/((-15)/40) + 6. Is w at most as big as 548?
True
Let o = -0.9 + 6.9. Let a = -4 - 1. Let n = a + o. Do -5 and n have the same value?
False
Let a = -78 - -26. Let d = -5991 - -5938. Is a equal to d?
False
Let v(s) = 2*s - 14. Let c be v(... | {
"pile_set_name": "DM Mathematics"
} |
- 3
What is the u'th term of -2659, -2580, -2449, -2266, -2031, -1744?
26*u**2 + u - 2686
What is the x'th term of -48284, -48296, -48316, -48344?
-4*x**2 - 48280
What is the o'th term of -373, -343, -307, -265, -217, -163?
3*o**2 + 21*o - 397
What is the l'th term of 18736, 37476, 56216, 74956, 93696, 112436?
18740*l... | {
"pile_set_name": "DM Mathematics"
} |
l?
15
Let o = 375 + -374. What is the highest common divisor of 13 and o?
1
Let d = 301 + -221. What is the highest common factor of 5 and d?
5
Let p be 5*(-1 - (-6)/2). Suppose -3*m + p = 1. Let h be -2*m - -4 - -34. What is the highest common factor of 96 and h?
32
Suppose 35*j = 30*j + 115. Suppose 2*n - 173 - 45 = ... | {
"pile_set_name": "DM Mathematics"
} |
*t. Suppose f*k = -k + 18. What is k*g(o) + 17*n(o)?
2*o**3
Let y(m) = -3*m**2 + 2*m + 3. Let a(v) = 4*v**2 - v - 2. Give -4*a(j) - 3*y(j).
-7*j**2 - 2*j - 1
Let k(z) = 0 + 0*z + 0 - z + 5. Let q(d) = -d + 4. Give -4*k(g) + 5*q(g).
-g
Let i(p) be the second derivative of p**4/6 - p**3/3 - p**2/2 - 10*p. Let s(n) = -2*n... | {
"pile_set_name": "DM Mathematics"
} |
4*m + 4 = n for u.
-4
Let m(t) = -t - 2. Let g be m(-9). Suppose g*h - 21 = 14. Suppose -d + 13 = 5*i - 2*i, 5*d - 15 = -h*i. Solve -4*p - q = -4*q - 15, 0 = i*q + 25 for p.
0
Let p = 1536 - 1534. Solve -2*y = 4*q + 22, 0*y - p*y = q + 10 for y.
-3
Let v be -5 - (4/(-6))/(16/12120). Let p = v + -497. Solve 5*h + 0 - 6 ... | {
"pile_set_name": "DM Mathematics"
} |
+ 111357?
111361
In base 4, what is -3 + 302020?
302011
In base 11, what is -90314 + 0?
-90314
In base 4, what is 20102020 + -2?
20102012
In base 12, what is -3 - 90492?
-90495
In base 13, what is -6 - 5a965?
-5a96b
In base 15, what is -1c5 + -13a?
-310
In base 10, what is -570 + 5?
-565
In base 16, what is 322d - -71... | {
"pile_set_name": "DM Mathematics"
} |
e w(y). What is the smallest common multiple of 1 and (-44)/s + 1/(-3)?
7
Suppose 1 - 5 = -4*v. Calculate the least common multiple of v and 9.
9
Let b = 3 - 1. Let d(p) = p**3 - 4*p**2 + 5*p - 2. Let x be 49/14 + 2/(-4). Calculate the smallest common multiple of b and d(x).
4
Let p be 10/(-35) + 29550/231. Let j = p -... | {
"pile_set_name": "DM Mathematics"
} |
*(-6/11) assuming o is positive.
o**(-624/55)
Simplify (f**1)**(2/13)*(f/f**(-2/13))**(-2/127) assuming f is positive.
f**(224/1651)
Simplify (u*(u*u/(u*u**(-5/7)/u))/u*u)/(u/((u**(-12)*u)/u)*u)*u/((u**(-8)/u)/u*u)*u/(u/u**(6/5))*u assuming u is positive.
u**(67/35)
Simplify ((z/((z*z**(-2/13))/z)*z)**(8/19))**(28/3) a... | {
"pile_set_name": "DM Mathematics"
} |
b - 448
What is the u'th term of -18, 7, 74, 183, 334, 527, 762?
21*u**2 - 38*u - 1
What is the w'th term of -1171, -4665, -10487, -18637, -29115, -41921?
-1164*w**2 - 2*w - 5
What is the x'th term of -118671, -118669, -118667?
2*x - 118673
What is the k'th term of -173055, -346109, -519163?
-173054*k - 1
What is the p... | {
"pile_set_name": "DM Mathematics"
} |
divide 99364269?
True
Does 56 divide 218803872?
True
Does 136 divide 1692080170?
False
Is 2 a factor of 21618729?
False
Does 1295 divide 70982644?
False
Is 775462301 a multiple of 3195?
False
Is 954546544 a multiple of 244?
True
Does 5201 divide 33723284?
True
Does 1524 divide 1668327372?
True
Is 1751643964 a multiple... | {
"pile_set_name": "DM Mathematics"
} |
Let x(v) = -3*v + 54. Let g be x(0). Suppose -j = -q - 29, 4*j = q + 161 - g. What is the remainder when j is divided by 7?
5
Let d = 82 - -56. Calculate the remainder when d is divided by 14.
12
Let z(y) = -y**3 + y - 2. Let a be z(-2). Let v(r) = -a - r**2 - 5*r**2 + 5*r**2 + r**3. What is the remainder when v(5) is... | {
"pile_set_name": "DM Mathematics"
} |
+ 0*f**2 + 4*f**2)*(1 + 0 + 1).
-47*f**2
Expand (o**2 + 2 - 2)*(-5*o**2 + 2*o**2 + o**2)*(1 - 2*o - 1).
4*o**5
Expand (-2 + 3*l + 0 - 2*l)*(l + l - l)*(-4*l + 7*l + 3*l).
6*l**3 - 12*l**2
Expand -2*y**5 + 0*y**5 + 3*y**5 + (-3*y + 7*y + 0*y)*(2*y**4 - 4*y**2 + 4*y**2).
9*y**5
Expand (3 - z - 3)*(2 + 0 - 3) + 0 - 2*z +... | {
"pile_set_name": "DM Mathematics"
} |
p + 2*x - 198, -3*x + 4*x + 1 = d. Let r = 40 + p. Solve -2*t = -r*t for t.
0
Let k = 1271 - 1231. Solve -k = -119*r + 111*r for r.
5
Let j = -100 - -14. Let y = 70 + j. Let l = 19 + y. Solve l*f + 5 = 20 for f.
5
Let m be (-9)/15 - ((-18)/(-15))/3. Let l be (82/6 - m)*(-126)/(-84). Suppose -f - l = -5*t, -f - 5 = -3. ... | {
"pile_set_name": "DM Mathematics"
} |
iggest value? (a) t (b) 5 (c) -4 (d) -29
a
Let w be (11 - 13)/(1*(-3)/6). What is the second smallest value in 6, -0.5, w, 0.4?
0.4
Let v = -2 + 32. Let w = v + -35. What is the second biggest value in -0.2, -2/15, w?
-0.2
Let r = 33267/19 - 1751. Let f be (2 - 1) + (-9)/12. Which is the third biggest value? (a) -... | {
"pile_set_name": "DM Mathematics"
} |
) = 4*s**3 - s. Let r be q(1). What is the common denominator of (3/(-12))/(r/86) and 5/6?
6
Let s = 8372 - 5295. Let k = 15334/5 - s. Find the common denominator of (-465)/(-18) + -2 + 1 and k.
30
Suppose -2*r + 7*r = 6600. Let z = r - 2573/2. Find the common denominator of z and 73/22.
22
Suppose 6*f - f + 90 = 0. Wh... | {
"pile_set_name": "DM Mathematics"
} |
e 9) in base 3?
11010
Convert -1008 (base 16) to base 12.
-2460
What is -15027 (base 8) in base 15?
-1ea4
What is -16 (base 14) in base 6?
-32
What is 1433 (base 5) in base 3?
100000
Convert -952a (base 12) to base 2.
-11111110110010
What is -a354 (base 13) in base 16?
-5812
1b3 (base 12) to base 15
139
-21680 (base 9)... | {
"pile_set_name": "DM Mathematics"
} |
-90 minus 78594123668?
-78594123758
Sum 0 and 17579064387628.
17579064387628
Put together 2.7 and 418.31898154.
421.01898154
What is 44997 plus 45.471582?
45042.471582
What is 11123.5540878 - -0.4?
11123.9540878
Put together -5 and -159480492821.
-159480492826
Calculate 3.989437995318 + -0.8.
3.189437995318
What is -16... | {
"pile_set_name": "DM Mathematics"
} |
*p, -s = 6*x - 3*x - p. Put 2, x, 1 in decreasing order.
2, 1, x
Let m = -0.784 + 4.784. Let n = 0.39 + 0.01. Put n, m, -1.1, 2/11 in increasing order.
-1.1, 2/11, n, m
Let l = -29/36 - -5/9. Let h be 181 + (0 - (-6)/(-3)). Let x = h + -1256/7. Sort -1/3, x, l in decreasing order.
l, -1/3, x
Let x = 27 - 27.044. Let t ... | {
"pile_set_name": "DM Mathematics"
} |
(-11). Let g = b - l. What is the units digit of g?
3
Let l = -44 + 47. Suppose -o + 14 = -2*f, 0*o + 36 = 4*o - 4*f. Suppose -l*s = -s - o. What is the units digit of s?
2
Let u(c) = -c - 2 - c**2 + 6 + 5. What is the units digit of u(0)?
9
Let j be ((-108)/60)/((-6)/40). Let i = 14 - j. What is the units digit of i?
... | {
"pile_set_name": "DM Mathematics"
} |
20)
Simplify ((i*i**(-2/17))/i*i/i**(2/39))/(i/(i**9/i*i)*i/(i/(i/(i*i**3/i)))) assuming i is positive.
i**(7181/663)
Simplify (p**(5/7)*(((p/p**17)/p)/p)/p)**(1/3) assuming p is positive.
p**(-128/21)
Simplify i**(-1/6)*i**(-14)/i*i**(-12)*i*i/(i*i**(-1/14)*i*i*i) assuming i is positive.
i**(-611/21)
Simplify p**(-23)... | {
"pile_set_name": "DM Mathematics"
} |
- 234 = -30. Let f = o + z. Solve -4*d - 3*k = 2*k - f, -2*d + k = -1 for d.
3
Suppose -3*t + 14 - 5 = 0. Solve s + 3 = -2*s + t*a, -2*s + 1 = -5*a for s.
-2
Let w(m) = 2*m + 9. Let p be w(-4). Let g(j) = 3*j + 1. Let n be g(p). Solve n*z = -16, -13 = -d + 2*d + 3*z for d.
-1
Suppose -3*m + 3*d + 16 + 17 = 0, -2*m = 5... | {
"pile_set_name": "DM Mathematics"
} |
value in -31, 3, 5/16, -2?
5/16
What is the biggest value in 28, -5, 902?
902
What is the fourth biggest value in 0.021, -10, -4/7, 2/23?
-10
What is the biggest value in 774, -4, 2, 2/9, -7?
774
What is the second biggest value in -6951, -2, -2/9, 0.2, 4?
0.2
Which is the biggest value? (a) 6/115 (b) 0.02 (c) -0.4... | {
"pile_set_name": "DM Mathematics"
} |
f 42, -42, -196, -420, -714?
-35*s**2 + 21*s + 56
What is the n'th term of 386003, 772009, 1158015?
386006*n - 3
What is the r'th term of -2248, -2268, -2312, -2386, -2496, -2648, -2848?
-r**3 - 6*r**2 + 5*r - 2246
What is the h'th term of 804, 722, 640, 558, 476?
-82*h + 886
What is the v'th term of 313, 446, 579, 712... | {
"pile_set_name": "DM Mathematics"
} |
ose -4*w - 298 = -2*b, -5*w - 587 = -2*b - 2*b. Let i = 2 + 11. What is the highest common factor of b and i?
13
Let k(v) = 2*v + 7. Let l be k(-6). Let r be (1/(-1))/(1/l). Let i be 59/3 - (-2)/6. What is the highest common factor of r and i?
5
Let j(w) = w**3 + 13*w**2 - 12*w + 33. Let y be j(-14). What is the greate... | {
"pile_set_name": "DM Mathematics"
} |
) = -4*s**3 + 728*s**2 - 697*s - 4883. Calculate g(181).
4
Let b(q) = q**3 - 29*q + 32. What is b(-6)?
-10
Let x(m) = 2*m**3 - 9*m**2 - 36*m + 158. Calculate x(5).
3
Let h(c) = 3*c**2 + 28*c + 67. Calculate h(-4).
3
Let r(s) = -77*s - 2529. Calculate r(-32).
-65
Let q(m) = -51*m**3 + 5*m**2 + 9*m + 6. Give q(-2).
416
L... | {
"pile_set_name": "DM Mathematics"
} |
three letters picked without replacement from {r: 11, w: 6, k: 1, f: 1}.
55/969
Two letters picked without replacement from ddsdss. What is prob of sequence ds?
3/10
Three letters picked without replacement from {g: 1, y: 2, t: 2, e: 4}. Give prob of sequence ytt.
1/126
Four letters picked without replacement from dob... | {
"pile_set_name": "DM Mathematics"
} |
. What is o(-7)?
4
Let i(z) = -43*z - 2. What is i(-1)?
41
Let q(g) = -g**3 - 5*g**2 - 3*g - 2. What is q(-3)?
-11
Let s(f) = 2*f**2 + 4*f + 8. Calculate s(-3).
14
Let s(b) = -4*b**2 - 23*b - 11. Give s(-5).
4
Let w(v) = -2*v**3 - v**2 + 5*v - 6. Calculate w(-3).
24
Let m(n) = n**3 + 5*n**2 - 5*n. Give m(-5).
25
Let z(... | {
"pile_set_name": "DM Mathematics"
} |
-174 + 2*k + 2*k**2 + 0*k**2 + 171 + k**5 - 3*k**2 wrt k?
20*k**3 - 2
Suppose -6*y + 3 = a - 3*y, 3*y = 2*a - 15. What is the third derivative of -23 + 32 + 7*o**a - o**6 - o**2 + 12*o**6 wrt o?
2160*o**3
Let q(o) be the second derivative of -9*o**6/10 - 5*o**3/3 - 65*o**2 - 415*o. What is the derivative of q(u) wrt u?... | {
"pile_set_name": "DM Mathematics"
} |
/9)/2)?
-8/11
What is (5/150)/((-2)/(-30)*9/((-324)/(-45)))?
2/5
What is (3584/(-768))/((-182)/(-12))?
-4/13
Calculate (2650/(-120))/(-53)*(-2)/(-5)*40.
20/3
What is ((80/42)/8)/(22660/5768)?
2/33
Evaluate (-16380)/540*(-5)/(140/(-6))*6/(-9).
13/3
What is (7/1820)/(662/6620)?
1/26
What is 4392/(-120048)*2/(-1)?
3/41
Ca... | {
"pile_set_name": "DM Mathematics"
} |
(z) = z**3 - 4*z**2 - 5*z - 4. Let s be t(5). Let i = 13 - 6. Let r = s + i. Solve n = -2*b - 8, b - 10 = 2*n + r*b for n.
-2
Suppose k = -h + 5, -5*h - 3*k = -8 - 11. Solve h*p = 4*p - 2*r + 12, -7 = 2*p + 3*r for p.
-5
Let l = -2 + 5. Suppose -2*p + l*q + 10 = -13, -2*q - 10 = 0. Let i(u) = -u**2 + 13*u - 9. Let z be... | {
"pile_set_name": "DM Mathematics"
} |
p/5 + 2258/5 = 0.
-1, 2/497, 1129
Factor m**4 - 81076*m**3 + 1614377908*m**2 + 1173637366368*m + 209547859189824.
(m - 40892)**2*(m + 354)**2
Factor -3*p**2/2 - 370659*p/2 + 926685.
-3*(p - 5)*(p + 123558)/2
What is v in -41*v**4/2 - 32760*v**3 - 199463*v**2/2 - 70182*v - 3190 = 0?
-1595, -2, -1, -2/41
Factor 3*m**2 - ... | {
"pile_set_name": "DM Mathematics"
} |
actor 2/3*r**2 + 0*r + 0 + s*r**3.
2*r**2*(r + 1)/3
Let c(q) be the first derivative of -61/3*q**3 - 63*q + 1/4*q**4 + 125 - 125/2*q**2. Determine s, given that c(s) = 0.
-1, 63
Suppose -26 = -4*d - 2*p, -4*p = 4*d + 9 - 41. Suppose 5*b = -w + 11, -b - 4*w - 8 - d = 0. Factor 0 + 64/7*z**4 + 0*z + 32/7*z**b + 4/7*z**2.... | {
"pile_set_name": "DM Mathematics"
} |
(-126)/560*(-8)/6.
3/10
What is ((-2)/(-11))/((-2)/(-2))?
2/11
(3*(-12)/32)/(15/5)
-3/8
((-1)/(-2))/(1/(-2))
-1
(-6)/24*(-120)/5
6
What is the value of -1*5/((-25)/(-5))?
-1
(10/(-8))/(715/(-1716))
3
What is the value of (-8)/6*(-10)/((-60)/9)?
-2
What is (-10)/8*-7*(-16)/(-56)?
5/2
Evaluate ((-96)/64)/(1/(30/(-9))).
5... | {
"pile_set_name": "DM Mathematics"
} |
+ 58698*i + 12
Differentiate 585076936*f*t**2 - 198*t**2 + 1956*t + 598 with respect to f.
585076936*t**2
What is the first derivative of -136126*t**2 + 1643*t + 45588741 wrt t?
-272252*t + 1643
Find the second derivative of 36521*a**2*m**2 - 16*a**2 + a*m**2 - 4337777*a wrt a.
73042*m**2 - 32
Find the third derivativ... | {
"pile_set_name": "DM Mathematics"
} |
i(y).
-7
Let y(g) = g**3 + 5*g**2 - 7*g - 4. Let h be y(-6). Suppose -2*b - h*b = 0. Let i(k) = k**2 + k - 5. Determine i(b).
-5
Let i(w) = w - 10. Let t be i(6). Let a(h) = h**3 + 5*h**2. What is a(t)?
16
Let a(r) be the second derivative of 0 - 1/3*r**3 + 0*r**2 + r. Suppose 0 = 282*g - 285*g - 3. Calculate a(g).
2
L... | {
"pile_set_name": "DM Mathematics"
} |
91)/14 - -6). Suppose -p*h + 0*h = -n. Solve -2*x - v + 0*v - 4 = 0, 0 = h*x + 3*v + 8 for x.
-2
Let j(k) = -302*k + 3930. Let v be j(13). Solve a - 197 = -4*i - 184, 10 = -5*i + v*a for i.
2
Let r(i) = i**3 - 14*i**2 + i - 14. Let k be r(14). Suppose 4*p - 80 - 8 = k. Suppose 0 = -24*c + p*c + 4. Solve 5*q - m - 3*m =... | {
"pile_set_name": "DM Mathematics"
} |
390*j*t**2 + t wrt t.
-1416*j**2*t + 960*j*t**3
Find the second derivative of -74595*r**2 - 46336*r - 5.
-149190
What is the derivative of c*k**2 - 152*c*k - 10*c + 87*k + 2241 wrt k?
2*c*k - 152*c + 87
What is the second derivative of -289*a*r**2 + 67*a*r + 13*r**3 + 2*r**2 + 837 wrt r?
-578*a + 78*r + 4
What is the ... | {
"pile_set_name": "DM Mathematics"
} |
se
Is 2 a factor of 332499?
False
Is 570880 a multiple of 144?
False
Is 1503640 a multiple of 40?
True
Is 297 a factor of 832972?
False
Does 67 divide 138958?
True
Is 37 a factor of 180264?
True
Is 1219139 a multiple of 21?
False
Is 59144 a multiple of 8?
True
Does 681 divide 2304978?
False
Does 389 divide 2038210?
Fal... | {
"pile_set_name": "DM Mathematics"
} |
hat is the next term in -241, -252, -263?
-274
What is next in -29170, -29174, -29180, -29188?
-29198
What comes next: 43, 19, -33, -125, -269, -477, -761, -1133?
-1605
What is next in -293, -311, -331, -353, -377, -403?
-431
What is next in -1636, -1631, -1624, -1615?
-1604
What comes next: -95, -89, -81, -71, -59?
-4... | {
"pile_set_name": "DM Mathematics"
} |
16. Let c(x) = -6*x. Let n be (15/(-20))/((-6)/4)*-48. Give n*v(s) + 3*c(s).
6*s
Let l(o) = -3*o**3 - 3*o**2. Let w = -4397 - -4394. Suppose -4*d = -3*d + 1. Let j(c) = c**2. What is d*l(n) + w*j(n)?
3*n**3
Let o(x) = 4*x**2 - x - 4*x - 3 - 2. Let z(q) = -q**2 + q + 1. Let w(n) = n**3 - 94*n**2 + 239*n - 5045. Let s b... | {
"pile_set_name": "DM Mathematics"
} |
-3 - (3 + -3 + 6)
-5
What is 0 + 2 + -3 - 0 - 3?
-4
Evaluate -8 - -1 - -4 - (5 + -5).
-3
Evaluate 2 - (2 - (3 - 3)) - 1.
-1
Evaluate 7 + -15 + (-4 - -8).
-4
What is 1 + -3 + (5 - 6) + 0?
-3
What is the value of -1 + (2 - -2 - 7)?
-4
What is the value of 42 + -39 + (0 - 0 - -3)?
6
Evaluate (3 - -2 - 5) + -2.
-2
Evaluate... | {
"pile_set_name": "DM Mathematics"
} |
he terms in 1152*t + 7*t**2 - 3*t**2 - 1152*t.
4*t**2
Collect the terms in 2*k + 66 - 66 + 3*k.
5*k
Collect the terms in 27*f**2 - 2*f + 4*f - 2*f.
27*f**2
Collect the terms in -6*y**2 + 5*y**2 - 2*y**2 + 0*y**2.
-3*y**2
Collect the terms in -22*x - 33*x - x.
-56*x
Collect the terms in -8*v**3 - 14*v**3 + 3*v**3 - 8*v*... | {
"pile_set_name": "DM Mathematics"
} |
, 1?
-0.3
What is the closest to 6 in 0.4, 1/4, -4/7, -2/11?
0.4
What is the nearest to 0.1 in -1/9, -4, 1, -2/35?
-2/35
What is the nearest to 0 in 2, 0.2, -0.78?
0.2
What is the nearest to 10.4 in 3, -3, 0?
3
Which is the nearest to 17/2? (a) 0.2 (b) -0.5 (c) -0.03 (d) 2/23
a
What is the nearest to -1 in 183, 5, ... | {
"pile_set_name": "DM Mathematics"
} |
= -b**3 + 4*b**2 + 8*b - 3. Suppose -4*p - r + 145 = 0, -78*p - 4*r = -75*p - 99. Calculate the remainder when p is divided by j(5).
1
Suppose -4*v + w + 854 = 0, -v = 4*w - 136 - 86. Suppose -1452 = 27*g - 74*g + 1086. Calculate the remainder when v is divided by g.
52
Let o(p) = -215*p - 4. Let j(i) = -i**3 - 45*i**2... | {
"pile_set_name": "DM Mathematics"
} |
culate h(p(g)).
-8619*g**2
Let l(y) = 2*y. Let q(v) = -v + 1. Let c be q(-3). Let j(b) be the second derivative of c*b - 6*b - b**3 + 2*b**3 - 5*b. Give j(l(r)).
12*r
Let q(b) = -2*b**2 - 28*b + 7. Let l be q(-14). Let s = -33 + 110. Let c(i) = 77 - s - l*i. Let y(w) = 2*w**2. Give y(c(g)).
98*g**2
Let s(j) = -42*j. Le... | {
"pile_set_name": "DM Mathematics"
} |
False
Which is bigger: 2/585 or -1?
2/585
Is 318 != 318?
False
Which is greater: -419/3 or -140?
-419/3
Which is bigger: -86/47 or -3?
-86/47
Which is smaller: -5 or -93/22?
-5
Is -597 less than -595?
True
Is -530/67 at least as big as -9?
True
Do -465 and -465 have the same value?
True
Is -1 smaller than -1/91325?
Tru... | {
"pile_set_name": "DM Mathematics"
} |
= 0.08 + -0.14. Let f = h - -2.06. Which is smaller: f or g?
g
Suppose -20*y = -13*y - 8*y. Suppose y = -2*s + 2*x - 16, 4*s = -3*x - 67. Is s at least -0.8?
False
Let u(f) = 537*f**2 + 2*f - 3. Let w be u(2). Let i = -19467222/11 - -1771895. Let n = i - w. Are n and 1/2 non-equal?
True
Suppose m = 4, -3*m = 3*y - 2*m ... | {
"pile_set_name": "DM Mathematics"
} |
2/(-7)).
-1/6
What is the value of (8/12)/((-6)/(-45))?
5
20/165*(-12)/8
-2/11
What is (1/((-2)/24*-3))/(-1)?
-4
What is the value of ((-1)/(-1))/(11/22*-1)?
-2
Calculate ((-18)/150*-5)/((-1)/(-5)).
3
What is 1/((-5)/(-2))*670/134?
2
What is the value of (1/3)/((-12)/36)*0?
0
3*(-5)/((-30)/2)
1
Evaluate -10*(3/6)/((-15... | {
"pile_set_name": "DM Mathematics"
} |
n(c) = -c**2 - 3*c + 10. Let z be n(a). Does 41 divide z + 3 - (-4 - 198)?
True
Let j = -193 - -240. Let q = j + 28. Is 3 a factor of q?
True
Let a = 5066 + -5057. Suppose 0 = 2*t - t + 45. Is 9 a factor of a*5/(t/(-24))?
False
Let r(a) = -299*a - 20. Let f be r(-4). Suppose 3*n - 12 = 0, 3*s + 3*n = -s + f. Does 43 d... | {
"pile_set_name": "DM Mathematics"
} |
.
-2
Express 1 - 18*g + 0*g**2 + g**2 + 9*g + 11*g - 2*g**4 in the form u*g**3 + y*g + w + b*g**4 + v*g**2 and give y.
2
Express 3*c**2 - 9 + 9 + (c**2 + 2 - 2)*(3 + 0 - 1) - 111*c + 111*c - 38*c**2 as v*c**2 + p + m*c and give v.
-33
Rearrange 23*a**2 + 14*a**2 - 39*a**2 + (-4*a + 8*a + 0*a)*(-17*a - 13 + 13) to x + v... | {
"pile_set_name": "DM Mathematics"
} |
-8*r + 5133 = 5157. Which is greater: -185 or r?
r
Let r = -1.11 + 1. Let v = 5057 - 5062. Which is smaller: r or v?
v
Suppose 24 = -a + 3*a. Suppose -5*g + 1 + 4 = 0. Let s be a/(-33)*g/2. Is -0.1 greater than s?
True
Suppose 5*c = -2 - 68. Let t = 5.89 + 0.11. Let u = t - 5. Is c < u?
True
Let s(v) = -v**2 + 23*v + ... | {
"pile_set_name": "DM Mathematics"
} |
**2)*(-1 - 1 + 3).
-5*l**2
Expand (0*r**3 + 3*r**3 - 4*r**3)*(5*r**2 - 2 + 2) - 2*r**5 + 3*r**5 - 3*r**5 + (-2*r + 2*r + r**3)*(-r**2 + 2*r - 2*r) + 0*r**2 + 0*r**2 - 2*r**5.
-10*r**5
Expand 2*k**2 - 2*k**4 - 2*k**2 + k**4 - 2*k**2 + 2*k**2 - 3*k**4 - 2*k**4 + 3*k**4 + (-2*k**3 - 4 + 4)*(4 - 4 + k) + 2*k**4 - k**4 - 3*... | {
"pile_set_name": "DM Mathematics"
} |
t to -0.05? (a) 0.5 (b) -0.5 (c) s
b
Let v = 307 + -308. Let w be 11 + (-984)/136 - (-2)/(-1). What is the nearest to -0.1 in v, -1/4, w?
-1/4
Let x = -154/5 - -437/15. Which is the nearest to 1? (a) -0.5 (b) -14 (c) -0.2 (d) x
c
Let v = -480 + 479. Let c = 131 + -131.2. What is the nearest to v in -7, -1, c?
-1... | {
"pile_set_name": "DM Mathematics"
} |
llect the terms in 5*s - 7*s + 8*s + 249174.
6*s + 249174
Collect the terms in 13817*p**3 + 4778*p**3 + 10632*p**3 + 3597*p**3.
32824*p**3
Collect the terms in -225*y + 4241*y + 3849*y.
7865*y
Collect the terms in 907*a**3 + 19512*a**3 + 13299*a**3 - 5358*a**3.
28360*a**3
Collect the terms in 645*a + 46396*a + 3004*a.
... | {
"pile_set_name": "DM Mathematics"
} |
common factor of d and t?
2
Let s(q) = -q**3 - q**2 + 3*q. Let w be s(-3). Calculate the highest common factor of 81 and w.
9
Let m be 8/(-28) + (-23)/(-7). Suppose -2*y + 30 = m*y. Suppose i + 15 = y*i. Calculate the greatest common divisor of i and 27.
3
Let a(s) = 2*s**2 - 5*s. Let n(o) = 3*o**2 - 10*o - 1. Let h(c... | {
"pile_set_name": "DM Mathematics"
} |
is ((-51)/34)/(((-36)/(-12))/(-108))?
54
Calculate ((-5)/(-3))/(1359/5134*-255).
-2/81
Evaluate 760/72*(-4428)/(-5535).
76/9
((-20)/(-8))/((-24)/18*1*99/2904)
-55
130/78*(-1353)/(-55)
41
What is 92/10*(-10245)/4098?
-23
What is the value of (-19)/(9500/150)*110/14*(-14)/(-8)?
-33/8
Evaluate 24/(-6)*5/(-8)*9/360*-84.
-... | {
"pile_set_name": "DM Mathematics"
} |
nator of d and -101/12.
12
Let q = -1676/3 + 16949/30. Calculate the common denominator of -11/461 and q.
4610
Let g be (-789321)/526206 + 3/2. Let i = 440107/70248501 + g. Let v = 30695/1602 + i. Find the common denominator of v and 103/14.
42
Let f = 20 - 10. Calculate the least common multiple of (21/(-35))/(2/(-10)... | {
"pile_set_name": "DM Mathematics"
} |
to five decimal places.
-0.00833
What is -13.08 rounded to the nearest ten?
-10
Round 0.067971 to 3 decimal places.
0.068
Round -271240 to the nearest one thousand.
-271000
What is 0.052165 rounded to two dps?
0.05
What is -0.0071714 rounded to four decimal places?
-0.0072
Round 1.0129 to 1 dp.
1
Round 252800000 to the... | {
"pile_set_name": "DM Mathematics"
} |
cimal places.
-0.0008
Let l = -4383.32548271 - -4199.3254839. Let m = 184 + l. Round m to 7 decimal places.
0.0000012
Let t = -2.9973 + 3.022102. Round t to two decimal places.
0.02
Let y = -151.098 + 143. Let r = 178 - 185.9. Let i = y - r. Round i to two dps.
-0.2
Let h = 51911 - 51910.99975957. What is h rounded to ... | {
"pile_set_name": "DM Mathematics"
} |
d derivative of -5*j**7/126 - 2*j**6/15 + j**5/60 + j**4/3 + 2*j**3/9 - 15*j + 2. Suppose d(s) = 0. What is s?
-2, -1, -2/5, 0, 1
Let h(c) be the first derivative of -c**7/105 - c**6/60 + c**5/30 + c**4/12 + c**2 - 7. Let w(i) be the second derivative of h(i). Suppose w(p) = 0. What is p?
-1, 0, 1
Let f(t) be the secon... | {
"pile_set_name": "DM Mathematics"
} |
ppose 0 = -5*p + p - 44. Let o be 10/(-55) + (-167)/p. Solve -f**3 + 6*f**3 + o + 0*f**3 + 25*f**2 + 35*f = 0.
-3, -1
Let j(q) be the second derivative of q**8/1680 + q**7/600 + q**6/900 - 8*q**3/3 + 29*q. Let a(w) be the second derivative of j(w). Solve a(v) = 0 for v.
-1, -2/5, 0
Let r(m) be the third derivative of m... | {
"pile_set_name": "DM Mathematics"
} |
489?
4
What is the units digit of 101331916?
6
What is the hundreds digit of 2169127225?
2
What is the units digit of 18902635?
5
What is the thousands digit of 204110357?
0
What is the tens digit of 71336819?
1
What is the thousands digit of 1237034415?
4
What is the millions digit of 682527581?
2
What is the thousand... | {
"pile_set_name": "DM Mathematics"
} |
))/m))*(m**(-2))**4*(m**(-4/5)/m)/(m*m*m*m**(4/5)) assuming m is positive.
m**(1426/15)
Simplify ((y**(-2/9))**16/(y**(-2/9)/y**(-1/31)))**(-32/3) assuming y is positive.
y**(10016/279)
Simplify (r**(5/4)/(((r*r*r*r**(-2/9)/r*r)/r)/r))**(-2/15)/(r**8/(r*r**(10/9)/r*r))**(-3) assuming r is positive.
r**(4753/270)
Simpli... | {
"pile_set_name": "DM Mathematics"
} |
letters picked without replacement from {t: 1, l: 2, w: 2}. Give prob of sequence wltl.
1/30
Three letters picked without replacement from pcmvepev. What is prob of sequence emp?
1/84
Two letters picked without replacement from {w: 1, u: 1, d: 1, j: 1, s: 2, q: 1}. Give prob of sequence ds.
1/21
Three letters picked w... | {
"pile_set_name": "DM Mathematics"
} |
ing 2 v and 1 q when three letters picked without replacement from {v: 6, q: 2}.
15/28
Calculate prob of picking 1 y, 1 m, and 1 l when three letters picked without replacement from xpmppplxxxpxyp.
1/364
Calculate prob of picking 2 u when two letters picked without replacement from zziucizuzzicz.
1/78
What is prob of p... | {
"pile_set_name": "DM Mathematics"
} |
c**5 - c**3 + c**2 - 1. Let i(w) = -r(w) - 3*s(w). Find the third derivative of i(k) wrt k.
-240*k**2
What is the third derivative of 22*t**2 + 3*t**4 - 16*t**4 - 34*t**2 wrt t?
-312*t
Let o be ((-3)/2)/(3/(-8)). Let p be 0 - -2 - (-3 + 1). Find the second derivative of -4*b + 3*b**o - b**p + 5*b wrt b.
24*b**2
Let p(r... | {
"pile_set_name": "DM Mathematics"
} |
160*sqrt(17) + 5040
Simplify (4 + sqrt(200) + -4 + sqrt(200) + -4 + sqrt(200) + 3 + sqrt(200))**2 + -4*(4*(-2*sqrt(200) + sqrt(200))**2 + (sqrt(200)*-1 + -1)**2).
-803 - 160*sqrt(2)
Simplify (((sqrt(88) - -1*sqrt(88))*-4)/(sqrt(12)/sqrt(3)*2 - sqrt(4)))/((sqrt(168)/sqrt(192))/(4*sqrt(7)*1)).
-128*sqrt(11)
Simplify (5 +... | {
"pile_set_name": "DM Mathematics"
} |
prob of picking 2 f and 2 e when four letters picked without replacement from eaafaaaaaaeaefrreaaa.
2/1615
Calculate prob of picking 3 f and 1 l when four letters picked without replacement from {m: 4, f: 10, l: 2}.
12/91
Calculate prob of picking 2 z and 1 t when three letters picked without replacement from ggfgzgtgr... | {
"pile_set_name": "DM Mathematics"
} |
9 - 3402.4. What is the third smallest value in 93, k, -12?
93
Let t = 96.907 + 0.093. Let g = t - 102. Which is the third smallest value? (a) -4 (b) g (c) -2/5 (d) 1/3
c
Let h = 1441 - 105245/73. Which is the fourth biggest value? (a) h (b) 1 (c) -0.5 (d) 2 (e) -2/7
c
Let r = -11625 + 11607. What is the third... | {
"pile_set_name": "DM Mathematics"
} |
368701?
430220
What is the next term in 72328, 72324, 72310, 72280, 72228, 72148, 72034?
71880
What is next in -460, -772, -1084, -1396, -1708, -2020?
-2332
What comes next: -236, -451, -676, -917, -1180, -1471, -1796?
-2161
What is next in 74669, 149341, 224011, 298679, 373345, 448009, 522671?
597331
What comes next:... | {
"pile_set_name": "DM Mathematics"
} |
y to the nearest 1000.
12000
Let l = -9.5 - -8.83. What is l rounded to one dp?
-0.7
Let y be 18/45 - (-8)/5. Let l be ((-40)/16)/(y/44228). Let a = -29285 - l. Round a to the nearest 10000.
30000
Let o = 7 - 8. Let r = 1.000003 + o. What is r rounded to six decimal places?
0.000003
Let f = -4 - -6. Let t = f - 2. Let ... | {
"pile_set_name": "DM Mathematics"
} |
u equal to g?
False
Let y = -91/3 - -30. Which is smaller: y or -54?
-54
Suppose 6*o + 22 = 2*o - w, 5*o - 4*w + 38 = 0. Which is smaller: 2/5 or o?
o
Let k(c) = -c + 6. Let f be k(12). Suppose 3*y = 13 + 29. Let q be (y/(-2))/((-2)/(-2)). Which is greater: f or q?
f
Let a be -2 - -3 - 2/1. Suppose 3*f + 25 = 5*k - 2*f... | {
"pile_set_name": "DM Mathematics"
} |
**2 - 3*y**2.
-9*y**2
Collect the terms in 4 - 5*q**2 - 6*q**2 + 2 + 12*q**2.
q**2 + 6
Collect the terms in 5*y**3 - 28*y + 9*y + 19*y.
5*y**3
Collect the terms in 1 - 3*x - 4 + 7*x.
4*x - 3
Collect the terms in 54*b**2 + 24*b**2 - 139*b**2.
-61*b**2
Collect the terms in 9 - 12 + 3 + 105*s.
105*s
Collect the terms in z... | {
"pile_set_name": "DM Mathematics"
} |
4 + -41 - -6) + 18 + -10 + -18?
-31
What is -167 + (94 + -17 - -71)?
-19
What is the value of (-14 - 30 - -10 - 44) + 9?
-69
Calculate (141 - (146 - 19)) + (-1 - -4).
17
104 - (-15 + 60) - 104
-45
What is the value of (-8 + 7 - 12) + (-116 - -82)?
-47
What is (64 - 66) + (-23 - (4 + -9))?
-20
Calculate 134 + (-12 - (-1... | {
"pile_set_name": "DM Mathematics"
} |
(c).
11
Let x be (15/(-45))/(1/(-12)). Suppose -x*i + 3*m - m + 262 = 0, 5*i = 5*m + 320. List the prime factors of i.
67
Suppose -14*v + 114 = -12. Suppose 1208 = v*x - 115. List the prime factors of x.
3, 7
Let w(m) = -7*m - 16. Let r be w(-6). Suppose 8 = -3*o + r. What are the prime factors of o/(20/(-28) - -1)?
3,... | {
"pile_set_name": "DM Mathematics"
} |
the first derivative of -l**5 - 3*l**3 + 16. What is the third derivative of q(f) wrt f?
-120*f
Let f(w) be the second derivative of -w**9/7560 + w**5/120 - w**4/3 + 3*w. Let d(k) be the third derivative of f(k). Differentiate d(a) with respect to a.
-8*a**3
Suppose -16 - 55 = -5*t - 2*r, 0 = 3*t + 3*r - 39. Suppose -... | {
"pile_set_name": "DM Mathematics"
} |
**3 - 4*i**3) - 3*i**2 - 3*i**3 + 3*i**2.
4*i**3
Expand -4*m**5 - 2*m**5 - 2*m**5 + 0*m - 37*m**5 + 39*m**5 - m + m**2 - m**2 - m**5 + (4 + 2 - 4)*(-m**5 + 3*m**5 - m**5).
-5*m**5 - m
Expand 13*l + 5 - 5 + (1 - 5 + 2)*(-2*l + 4*l - 3*l + 3*l - 4*l + 0*l + (-1 - 2*l + 1)*(4 - 4 - 2)).
9*l
Expand 82*f + 36*f - 3 + 3 + 13... | {
"pile_set_name": "DM Mathematics"
} |
+ 2*v + v**2 - 4*v**2)*(-7 + 7 - 8*v**3)*(1 - 8 - 1).
-192*v**5 + 64*v**4
Expand ((w + w - 3*w)*(-3*w - w - 3*w) + (w - 4 + 4)*(1 - 1 + w) - 5*w**2 - 4*w**2 + 0*w**2)*(-1 + 1 - w**2).
w**4
Expand (-738*g**3 - 3437*g**2 + 3437*g**2)*(-2 - 1 + 1).
1476*g**3
Expand (17 + 8 - 6)*(2 + 2*t - 2) + 4*t - 3*t + 6*t.
45*t
Expand... | {
"pile_set_name": "DM Mathematics"
} |
ppose 5*c + 84 = 3*r, 3*c + 2*c = -3*r + 114. Let z = r - 10. Does 13 divide z?
False
Let a = 139 + -58. Is a a multiple of 14?
False
Does 11 divide 1 - 10/2 - -16?
False
Is 2 a factor of 11 - 1/(3/12)?
False
Let p be (3 - 3)*1 + -13. Let w = p - -104. Let m = w - 45. Does 23 divide m?
True
Let h(o) = o**3 + 7*o**2 + 2... | {
"pile_set_name": "DM Mathematics"
} |
65.
8/596765
Calculate 96796062 divided by 19686.
4917
Calculate -22117102 divided by 15946.
-1387
Calculate 150724689 divided by 3.
50241563
Calculate -62 divided by -1051706.
1/16963
-34830536 divided by -4
8707634
Divide 1256315 by 251263.
5
Divide 306669890 by 8933.
34330
-216213352 divided by 526
-411052
What is -... | {
"pile_set_name": "DM Mathematics"
} |
What is the third derivative of h(m) wrt m?
-168*m
Let o(l) = -16*l**3 + 6*l**2 + 6*l - 3. Let x(y) = -y**3 + y**2 + y. Let v(c) = o(c) - 6*x(c). What is the first derivative of v(k) wrt k?
-30*k**2
Let f(h) = 2*h + 3. Let m(z) be the third derivative of z**3/6 + 15*z**2. Let v be -2*(-1 + 2) + 0. Let y(t) = v*m(t) + ... | {
"pile_set_name": "DM Mathematics"
} |
0.2
Let f = -1039/7 + 148. Let x be 1 + 2/30*-13. What is the third biggest value in f, x, -5?
-5
Let r = -1209 - -2483/2. Let u = r + -33. Which is the second smallest value? (a) -2 (b) -0.3 (c) u
c
Let j = 4 - 1. Let a = -2 + j. Let y be (-14)/6 + (-2 - -4). What is the third biggest value in y, a, 2?
y
Let x = 9... | {
"pile_set_name": "DM Mathematics"
} |
Let v = k - 567. Let 4/11*q**3 + 0*q**2 + 0 + 0*q + 2/11*q**v = 0. Calculate q.
-2, 0
Let w = 272 + -190. Let d = 86 - w. Factor -14*q - q**2 + 14*q - d*q**2 - 15*q.
-5*q*(q + 3)
Suppose -3 + 5 = 2*y. Let l(v) = 3*v**3 - 4*v**2 + 4*v - 1. Let o be l(y). Find p such that 8*p - 8*p**3 + p**2 + 7*p**4 - 3*p**4 - 7*p**2 +... | {
"pile_set_name": "DM Mathematics"
} |
Put k, -3, r in decreasing order.
r, k, -3
Let b = -2 + 2.12. Let y = b + -4.12. Let u = 1 - 1.1. Sort u, -2, y in decreasing order.
u, -2, y
Let v be (-4)/8*122/(-6). Let g = 451/42 - v. Sort 0.4, -1/2, g in decreasing order.
g, 0.4, -1/2
Let f = -13/40 - -1/8. Let p be 3/(-5)*30/(-27). Let n be (-10)/6 + 2 - 1. Sort... | {
"pile_set_name": "DM Mathematics"
} |
= -321125 - -223855. Round f to the nearest 10000.
-100000
Let q = -1699.415 + 6.215. Round q to the nearest ten.
-1690
Let y = 76.00001727 - 76. Round y to six dps.
0.000017
Let u = -66.59 + -9.84. What is u rounded to 0 decimal places?
-76
Let d be (-1)/(-1 - 0 - 16395/(-16392)). Let h be d/6*(-87)/(-58). Round h to... | {
"pile_set_name": "DM Mathematics"
} |
4, -9/5, 0.16, -6, -5, 0.3?
0.16
What is the third biggest value in -0.1, 379.9, 3/7, 0.4, -0.052?
0.4
What is the third smallest value in -4.2, -0.3, 4/13, -0.075, -2/3?
-0.3
What is the fourth biggest value in 18, -3/7, -1/2, -33, -2, -0.51?
-0.51
What is the seventh biggest value in 1, 0.4, 0.46, -33, 5/4, -4/3, 0.1... | {
"pile_set_name": "DM Mathematics"
} |
from ojjojjojjjj. Give prob of sequence oo.
3/55
Four letters picked without replacement from {o: 5, t: 2, n: 5}. What is prob of sequence ooon?
5/198
What is prob of sequence hn when two letters picked without replacement from inmininhni?
2/45
Two letters picked without replacement from htmhhllmhhlllmmhm. What is pro... | {
"pile_set_name": "DM Mathematics"
} |
**(-5)))/y assuming y is positive.
y**(-85/12)
Simplify ((y/(y*y**1))/y*(y**(-2/39)/y)/y)**(-1/15) assuming y is positive.
y**(158/585)
Simplify (((g/(g*g**1/g))**45)**(2/65))**(2/25) assuming g is positive.
1
Simplify ((m**(6/7)/m)/m*m)/(m/(m/(m*m*m**(-12))))*m*m/((m/m**(-6/11))/m*m*m)*(m/m**12)/m assuming m is positi... | {
"pile_set_name": "DM Mathematics"
} |
)**2 - sqrt(133)/(sqrt(7)*-1))*-1.
-12*sqrt(19) - 44
Simplify 1*((sqrt(125) + 1 + sqrt(125))**2*2 - sqrt(125))*4*-1.
-4008 - 140*sqrt(5)
Simplify -5 + -4 + 1*3*sqrt(33)/(sqrt(12) - sqrt(3)).
-9 + 3*sqrt(11)
Simplify (4*2*sqrt(22))/(3*sqrt(44))*-5.
-20*sqrt(2)/3
Simplify ((-3 + sqrt(9)/sqrt(108) + -3 + 5)*-6)**2.
-12*sq... | {
"pile_set_name": "DM Mathematics"
} |
91093 a composite number?
False
Is 69474097159 composite?
True
Is 308930327 a composite number?
True
Is 1842038311 a prime number?
True
Is 5521925921 prime?
True
Is 10439574191 prime?
False
Is 20588417099 composite?
False
Is 1030147595 a prime number?
False
Is 4496647517 a prime number?
True
Is 26510526037 a prime numb... | {
"pile_set_name": "DM Mathematics"
} |
69?
3
Calculate the greatest common divisor of 423 and 18.
9
What is the greatest common factor of 34294 and 52?
26
Calculate the highest common factor of 30 and 980.
10
Calculate the greatest common factor of 9 and 9714.
3
Calculate the highest common factor of 172 and 602.
86
Calculate the greatest common factor of ... | {
"pile_set_name": "DM Mathematics"
} |
?
-55
Calculate 17 + (-979)/88 + -6 - (-1458)/2448.
8/17
What is (-6)/7*(154791/162)/(-21)?
39
What is the value of 107/(8881/(-6308)) - (-9 + -13)?
-54
27/((29 + (-225)/9)/4)
27
What is 15/9 + 55/39600*-1065?
3/16
(-2775)/(-67488) - ((-68)/(-1596) - 8/84)
3/32
What is the value of (35 + 0 + -44)/((-9)/(-87))?
-87
What... | {
"pile_set_name": "DM Mathematics"
} |
or m.
10
Solve -v - 24*k = -29, -2*k = 278*v - 277*v - 7 for v.
5
Solve -x - 284 = 18*w - 2*w, 88 = 4*x - 4*w for x.
4
Solve -9*f = -b + 29, 6*b - 3620*f = -3624*f for b.
2
Solve -a + 21 = 5*c - 15, c + 20*a = -2*c - 4*c + 21*a for c.
3
Solve 5*z + 10 = -g, -1129*g + 1126*g = 3*z - 30 for g.
15
Solve -312*r + 625*r - 3... | {
"pile_set_name": "DM Mathematics"
} |
*3 + 3*c**3 + c**3)*(-273 + 273 + 69*c).
137*c**4
Expand (-2 + 0 + 16 + (-1 + 4 - 1)*(0 + 2 - 4))*(9*d - 9*d + 5*d**5) + (-2*d**3 + 5*d**3 - 5*d**3)*(-1 + 2*d**2 + 1).
46*d**5
Expand -3*f - 4*f + 5*f + (-1 + 5 + 10)*(-3*f - f + 2*f).
-30*f
Expand (-2*u**5 - 2*u**5 + 3*u**5 + 12*u)*(5 - 4 + 4).
-5*u**5 + 60*u
Expand (3*... | {
"pile_set_name": "DM Mathematics"
} |
5*q**3 - 2 - 2*q**2 - 5*q**2. Let r(l) = -l**2. Let o = 1004 + -633. Let h = o - 372. Determine h*u(n) + 6*r(n).
-2*n**3 + n**2 + 2
Let o(b) = 4*b**3 - b**2 + 3*b - 4. Suppose 263*g - 41*g = 486 - 42. Let t(i) = 5*i**3 + 2*i - 3. Determine g*o(r) - 3*t(r).
-7*r**3 - 2*r**2 + 1
Suppose 0 = -9*y + 156 - 57. Let z(j) = -4... | {
"pile_set_name": "DM Mathematics"
} |
*w + 2*s + 3. Suppose -k - k - 3*j + 43 = 0, 3*k - w = -2*j. What is the units digit of k?
6
Let f(w) = w**3 + 3*w**2. Let o be f(-3). Suppose o = -0*m - m + 3. What is the units digit of (4 - m) + 30/3?
1
Let d = -27 + 41. Suppose 3*j = -5 + d. What is the tens digit of (-20)/(-30) - (-97)/j?
3
Let v(d) = d**2 + 3*d +... | {
"pile_set_name": "DM Mathematics"
} |
1
e
What is the smallest value in 1, 0.073, -3, -0.01, -25, -3/8, 1/6?
-25
Which is the third smallest value? (a) 2 (b) 0 (c) 0.33 (d) 1.5 (e) 7 (f) 26 (g) -0.4
c
What is the third biggest value in 0, 0.16, -0.1, -1/3, -0.14, -0.01?
-0.01
What is the sixth biggest value in -3, 2/3, 12748, -2/15, -22/7, 0.2?
-22/... | {
"pile_set_name": "DM Mathematics"
} |
16. Solve 2*b + 20 = -w*b for b.
-4
Let g = 0 - -2. Let j be 2 + g/(-1) + 2. Solve 0 = -3*p - 1 - j for p.
-1
Suppose -6*t + 2*t = 5*x - 47, -t + x + 5 = 0. Solve -4*g - 4 = t for g.
-3
Let g be -6 + 168/27 - 2/9. Solve 4*z + 0*z - 8 = g for z.
2
Suppose 3 = 4*s + 11. Let h(u) = -u**2 + 3*u + 2. Let g be h(2). Let v =... | {
"pile_set_name": "DM Mathematics"
} |
12
What is the third derivative of -4*z**3 - 28 - 34*z**4 + 12*z**3 - 7*z**3 - 2*z**2 + 51*z**4 wrt z?
408*z + 6
Suppose -13*u = -10*u - 6. Find the second derivative of u*c**4 - c**4 + 3*c**4 - 3*c + c wrt c.
48*c**2
Let t(w) be the first derivative of -27/5*w**5 + 0*w + 0*w**4 - 10 + 0*w**3 + 17/2*w**2. Find the seco... | {
"pile_set_name": "DM Mathematics"
} |
= 3*w, 4*m - l*m + 28 = 5*w for m.
-3
Let p be (-126 + 6)/(-8)*(0 + -1). Let r(f) = f**3 + 17*f**2 + 29*f - 13. Let w be r(p). Solve -w*d - 2 = 0, 0*m + 4*d = -3*m - 13 for m.
-3
Suppose -26*j = 760 - 1124. Solve 0*f + 3*w = -3*f - 6, 3*w = -5*f - j for f.
-4
Let c = -7231 + 7233. Solve c*z = 4*v, 2*z - 3*v = 7*z - 13... | {
"pile_set_name": "DM Mathematics"
} |
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