text stringlengths 270 8.19k | meta dict |
|---|---|
2 - 4)*(-1 + 1 + r) - 2*r - 1 + 1 - 1 - 2*r + 1 + 0 - 2*r + 0)*(197804 - 197804 + 3783*r**2) to the form o*r + l*r**2 + f*r**3 + w and give f.
-26481
Express -4*a**3 - 7*a**2 + 45*a**2 - 20*a - 36*a**2 - a**4 - 3 as n*a**2 + q*a**4 + d*a**3 + k*a + m and give q.
-1
Express (-8*s - 4*s - s)*(7 - 3 - 7 + (-77 + 118 - 76... | {
"pile_set_name": "DM Mathematics"
} |
-3 + 0 - 1450873*k**2 + 1450872*k**2 + 3.
-k**2
Collect the terms in -531 + 1063 + 468*b + 7731*b - 532.
8199*b
Collect the terms in -9*b**2 - 4 + 2 - 482*b - 6 + 137*b + 6.
-9*b**2 - 345*b - 2
Collect the terms in -2794*w**3 - 1512*w**3 + 1266*w**3.
-3040*w**3
Collect the terms in 3*h**2 + 9 - 9 + 4*h**2 - 10*h - 2*h*... | {
"pile_set_name": "DM Mathematics"
} |
What is the units digit of v?
8
Let s = -497 + 698. Let w = 289 - s. What is the units digit of w?
8
Suppose -139*u + 27343 + 108877 = 0. What is the hundreds digit of u?
9
Suppose -32 = -2*d + 4*i, 2*d + 2*i - 2 + 0 = 0. Let o(m) = m**2 - 7*m + 8. Let n be o(d). Suppose -n*s - 84 = -5*s. What is the units digit of s?
... | {
"pile_set_name": "DM Mathematics"
} |
Let x = 145 + -143. Let b = 4 + -1. Suppose -26 = -5*z + 2*s, b*z - 32 = -z - 4*s. Solve -3*d + 0*y = -y - 15, z = 3*d + x*y for d.
4
Let a(o) = o**2 + o. Let h be a(-2). Suppose -2*i - 5 = -w, -i + 5*w = 3*w + 4. Let f be i/(-7) - 38/(-14). Solve -7 = -5*z + n, n = -h*z + f*n - 2 for z.
2
Suppose -9 - 55 = -4*j. Solv... | {
"pile_set_name": "DM Mathematics"
} |
n 0?
True
Is 29474 != 29474?
False
Is 9/505579 < 1?
True
Which is greater: -8594 or -8566?
-8566
Is -18/837365 at most 0?
True
Which is smaller: -26705/4 or -6675?
-26705/4
Which is smaller: 1276851 or 1276848?
1276848
Which is smaller: -1/5264016 or 0?
-1/5264016
Which is bigger: -13743 or -68719/5?
-13743
Do 6 and -3... | {
"pile_set_name": "DM Mathematics"
} |
?
-1
Let k(z) be the third derivative of z**5/60 + 7*z**4/24 - z**3/2 - z**2. Let b = -100 + 94. What is k(b)?
-9
Suppose -s + 6 + 11 = 3*v, 0 = -3*v - 4*s + 32. Let k = v + -9. Let j(m) = 3*m + 7. Let f(d) = 7*d + 15. Let g(o) = -2*f(o) + 5*j(o). Calculate g(k).
0
Let t(g) = -g**2 - 18 + 6*g + 14*g - 5*g. Let q be t(1... | {
"pile_set_name": "DM Mathematics"
} |
ve of 228577*s**2 + s - 156486?
457154*s + 1
What is the derivative of -1191171*f**3*t**2 + 27*t**2 + 100539*t wrt f?
-3573513*f**2*t**2
What is the third derivative of -2*j**2*t**4 + 4373*j**2*t**3 + 3*j**2*t**2 + 89*j*t**2 - 9*j*t + 3*t**3 wrt t?
-48*j**2*t + 26238*j**2 + 18
What is the third derivative of -9*a**6 + ... | {
"pile_set_name": "DM Mathematics"
} |
+ -4)?
-120
What is -2 + -37 + (77 - 28) + -58?
-48
Evaluate -3 + 27 + (-2 + -3 - -24) + -7.
36
Calculate (1 - -39) + 20 + (25 - 23 - 18) + -7.
37
What is the value of -148 + 139 + -143 + 50?
-102
What is -2 - (15 - (-13 + 11)) - -8?
-11
186 + (-113 + 80 - 40)
113
Evaluate -2023 + 2012 + -2 + (-22 - 4).
-39
What is 16... | {
"pile_set_name": "DM Mathematics"
} |
ulate (-44)/33*9/30.
-2/5
Calculate (-3)/5*-15*18/18.
9
Evaluate 896/1120*((-270)/104)/(-9).
3/13
((-11)/(363/77))/(6/18)
-7
What is the value of 7/1*102/(850/(-25))?
-21
What is ((-2)/36*12)/(6/(-72))?
8
Evaluate (-1)/(((-272)/153)/(-16)).
-9
What is (((-2829)/(-574))/(-23))/((-3)/4)?
2/7
(-1)/(((-6)/(-4))/(42/(-28)))... | {
"pile_set_name": "DM Mathematics"
} |
Let n be k/5 - 16/(-10). Is 783/21 + n/(-7) composite?
False
Let d(r) = -r**2 - 4*r - 1. Let a be d(-5). Let v = a + 6. Suppose v*g - i - 59 = -3*g, -62 = -2*g - 5*i. Is g a composite number?
True
Let r = -10318 + 14915. Is r composite?
False
Let i be 18 - 1*0/(-3). Suppose 21 = -5*x + 2*k + 82, -2*x + i = -4*k. Is x c... | {
"pile_set_name": "DM Mathematics"
} |
ive of 4519*b**3 - b**2 + 1348*b.
27114
Find the third derivative of 243*d*p**6 - 5158*d*p**3 - 3*d*p**2 + 704*d*p - p**2 + p + 3 wrt p.
29160*d*p**3 - 30948*d
What is the third derivative of 13*f**3*p*w - f**3*p - 101*f**3*w - 55*f**2*p*w - f**2 - 2*f*p + 5*p - 3*w wrt f?
78*p*w - 6*p - 606*w
Find the first derivative... | {
"pile_set_name": "DM Mathematics"
} |
Let q(l) = 4*l**2 - 2*l - 6*l**2 + 4*l**2 + 3 - 2 - l**3. Let z be q(1). Suppose 4*t = -k + 164, -k - 88 = -2*t - z*k. Is t a multiple of 14?
True
Let b(r) = -r. Let m be b(-5). Suppose -m*z + z = -88. Is z a multiple of 11?
True
Let m(i) = -i**2 - 11*i - 10. Let q be m(-8). Suppose 0*t = -2*t + 14. Let w = q + t. Is ... | {
"pile_set_name": "DM Mathematics"
} |
vative of w(j) wrt j?
90*j
Find the third derivative of 15*h**3 + 347*h**2 - 2*h**5 + 81*h**3 + 73*h**3 - 54*h**3 wrt h.
-120*h**2 + 690
Let y(t) be the third derivative of t**2 + 0*t**3 - 13/120*t**6 - 4 + 1/15*t**5 + 0*t + 1/12*t**4. Find the third derivative of y(f) wrt f.
-78
Suppose 7*u - 3*u = -2*j, 5*j = 4*u + 4... | {
"pile_set_name": "DM Mathematics"
} |
is -61707 + 55?
-61642
In base 2, what is -110111 - 10100010111011001?
-10100011000010000
In base 13, what is 239 - -a1461?
a169a
In base 13, what is 90 - 3b74?
-3ab4
In base 3, what is -220202111121 - -111110?
-220202000011
In base 10, what is -2174343 + -11?
-2174354
In base 2, what is 100000010011110001110001111 + ... | {
"pile_set_name": "DM Mathematics"
} |
u**2/2 - 141. What is q(i(t))?
90*t**2
Let i(h) = -6*h**2. Let v(d) be the third derivative of 0*d**3 + 5*d**2 + 0 + 0*d**4 + 1/30*d**5 + 0*d. Calculate v(i(f)).
72*f**4
Let w(o) = 10*o**2 + 1171*o - 2. Let j(k) = k. Give j(w(r)).
10*r**2 + 1171*r - 2
Let g be (-4)/8 - 11/(-2). Let u(z) = g*z**2 - 4*z**2 - 2*z**2 - z**... | {
"pile_set_name": "DM Mathematics"
} |
3 assuming t is positive.
t**(16598/21)
Simplify (w**(2/11)*w*w/(w*w**(-9)))**(-27)*(w**(-2))**(-20)/((w*(w*w*w**(-1/6))/w)/(w*w**(7/2)*w)) assuming w is positive.
w**(-7631/33)
Simplify (((g**42)**(-23))**(-13/2))**(4/9) assuming g is positive.
g**(8372/3)
Simplify (q**14/(q/q**(3/17))*(q*q**(-16)*q)/(q/(q*q*(q*(q/((q... | {
"pile_set_name": "DM Mathematics"
} |
-1001210
What is -2122 (base 7) in base 5?
-11001
What is 1111001001011 (base 2) in base 13?
36b7
1002002 (base 3) to base 6
3345
Convert -104613 (base 8) to base 7.
-204441
5432 (base 6) to base 16
4dc
-89 (base 14) to base 12
-a1
Convert 813 (base 16) to base 3.
2211120
6547 (base 8) to base 5
102211
7b69 (base 13) t... | {
"pile_set_name": "DM Mathematics"
} |
+ 6*x**2 - 3*x**2)*(-3*x**3 - 2*x**3 + 6*x**3) + 6*x**5 - 22*x**5 + 14*x**5 - 84*x**3 - 1 + 1 - 2*x**5.
-x**5 - 84*x**3
Expand (-q**4 + q**4 - q**4)*(-4 + 2 + 1) + 104*q**4 - 275*q**4 + 91*q**4.
-79*q**4
Expand (2 + 3 - 4)*(3*b - 4*b - 7*b)*(-5*b**2 + b**2 - b + 2*b**2).
16*b**3 + 8*b**2
Expand (0*l + 0*l - l)*(-3*l - ... | {
"pile_set_name": "DM Mathematics"
} |
5020*o - 2777
What is the i'th term of -28564, -28457, -28350, -28243, -28136?
107*i - 28671
What is the i'th term of -5778250, -11556501, -17334752, -23113003, -28891254?
-5778251*i + 1
What is the l'th term of -1371456, -1371646, -1371836, -1372026?
-190*l - 1371266
What is the o'th term of -6828, -5616, -4404, -319... | {
"pile_set_name": "DM Mathematics"
} |
1*f**4/24 - 2*f**3 - 30*f**2. Let m be v(-4). Solve -4*o - 14 = k - m*k, 0 = o + 4 for k.
2
Suppose 986 - 188 = -7*b. Let j be (-1 - 1)/(19/b). Suppose -5*k = -11*k + j. Solve 0 = -x + 4*o, k*o - o = -1 for x.
-4
Let s = -4 - -6. Let y be ((-159)/(-265))/(3/25). Suppose -20 = -4*b, y*i - 2*b + b = -5. Solve d - 1 = x, ... | {
"pile_set_name": "DM Mathematics"
} |
1*m**2/8 - 79*m/8 + 13/4 = 0. Calculate m.
1, 26
Let -14*a**3/5 + 152*a**2 + 554*a/5 - 44 = 0. What is a?
-1, 2/7, 55
Factor 7*l**4/4 + 5*l**3/4 - 37*l**2/4 + 31*l/4 - 3/2.
(l - 1)**2*(l + 3)*(7*l - 2)/4
Factor -i**3/3 + 37*i**2/3 - 55*i/3 - 175.
-(i - 35)*(i - 5)*(i + 3)/3
Factor 10*i**2/7 - 1156*i/7 - 464/7.
2*(i - 1... | {
"pile_set_name": "DM Mathematics"
} |
n r, 2, -3?
r
Let u be 203/(-87) + (-8)/(-6). Suppose -4 = 5*q - 14. Which is the third smallest value? (a) u (b) -0.1 (c) q
c
Let u = -1.28 + 0.43. Let p = -1.25 - u. What is the second smallest value in p, 4/5, -0.2?
-0.2
Let g be 1/2 - 2/8. Let o = -3746/6629 + -6/947. Which is the second smallest value? (a) -0.... | {
"pile_set_name": "DM Mathematics"
} |
ndred.
56900
What is 99885503 rounded to the nearest one hundred thousand?
99900000
What is -10604.664409 rounded to the nearest 10?
-10600
What is 0.000168087839 rounded to 5 decimal places?
0.00017
What is -2.3874528 rounded to 3 dps?
-2.387
What is 601159200 rounded to the nearest one hundred thousand?
601200000
Wha... | {
"pile_set_name": "DM Mathematics"
} |
1 = 1803*v - 1807*v, -2 = 2*k for v.
0
Solve 5*c + 7*w - 10*w = 20, -5*c - 5*w - 20 = 0 for c.
1
Solve 15 = 3*c + 205*z - 201*z, -3*c = -z for c.
1
Solve 5*g = -v - 7, g - 4*v - 1185 = -1178 for g.
-1
Solve 2*k - 69 = 5*b - 47, -7*k - 3*b - 5 = 0 for k.
1
Solve 0 = -955*h + 960*h + 93*q - 103, 4*h - 10 = -2*q for h.
2... | {
"pile_set_name": "DM Mathematics"
} |
t 10?
-540
Let d = -496.18 - -484. Let b = -2514 + 2515.32. Let f = d - b. What is f rounded to zero dps?
-14
Let r = 70 - 450. Let s = r + 380.4. Round s to the nearest integer.
0
Suppose -367*f + 366*f - 6 = 0. Let c be 5290/8 - ((-189)/(-36) + f). What is c rounded to the nearest 10?
660
Suppose -9846 = 25*o - 23*o.... | {
"pile_set_name": "DM Mathematics"
} |
M
How many minutes are there between 5:00 PM and 7:12 PM?
132
How many minutes are there between 9:31 AM and 8:58 PM?
687
What is 414 minutes after 7:25 PM?
2:19 AM
What is 457 minutes after 3:10 AM?
10:47 AM
What is 405 minutes after 8:40 PM?
3:25 AM
What is 127 minutes before 8:35 AM?
6:28 AM
How many minutes are the... | {
"pile_set_name": "DM Mathematics"
} |
nder when g is divided by (10/(-15))/(1/f) + 17.
18
Suppose 592 = 25*y - 29*y. What is the remainder when y/(-20) - 6/(-10) is divided by 7?
1
Let y(z) = -z - 1. Let v(f) = 22*f. Let g(u) = -2*v(u) + 2*y(u). Suppose i - 4 = 0, i + 4 - 6 = -n. Calculate the remainder when g(n) is divided by 23.
21
Let r(v) = -v**2 - 43*... | {
"pile_set_name": "DM Mathematics"
} |
- 17, -2*i + 2 = 2*t for i.
4
Solve 0 = 5*z - 9 - 16, -3*a = -z - 7 for a.
4
Solve 5*t - 7*t = -4*c + 10, 0 = 5*c + t - 9 for c.
2
Solve 0 = -5*d - 4*w - 36, 6*w - 4 = -3*d + 10*w for d.
-4
Solve -2*o - 3 = -36*z + 41*z, 20 = -4*o + 4*z for o.
-4
Solve 3*b - 23 = -5*h, -2*h + 7*b + 10 = 9*b for h.
4
Solve -n + 2*t - 4 ... | {
"pile_set_name": "DM Mathematics"
} |
Suppose 4*m = 3*m + 3. Let h(y) be the first derivative of -2 + 1/2*y**4 - 1/3*y**m + 0*y + 0*y**2. Find the third derivative of h(i) wrt i.
12
Find the second derivative of -406*h - h**4 + 7*h**4 + 416*h wrt h.
72*h**2
Let k = 0 + -1. Let t be k/2 + 14/4. What is the first derivative of -s**4 + 4*s**3 + 5*s**4 + 3 - 4... | {
"pile_set_name": "DM Mathematics"
} |
e prime factors of s?
2, 3
Let c = -73 + 76. Suppose 5*n + 54 = -0*n + 3*w, 0 = -5*n + 4*w - 52. List the prime factors of (c/(-4))/(1/n).
3
Let o(h) = h**3 + 12*h**2 - 14*h + 6. Let x be o(-13). Let r = 34 - x. List the prime factors of r.
3, 5
Let q = -63 + 15. Let w = -28 - q. What are the prime factors of w?
2, 5
L... | {
"pile_set_name": "DM Mathematics"
} |
True
Is 85114 a composite number?
True
Is 20174593 prime?
True
Is 4958693 composite?
False
Is 63638977 composite?
True
Is 59563027 a prime number?
True
Is 3036893 prime?
False
Is 36584701 a composite number?
True
Is 7040477 prime?
True
Is 4813027 a prime number?
True
Is 538429 a prime number?
False
Is 450427 a prime n... | {
"pile_set_name": "DM Mathematics"
} |
at is the nearest to 9/17 in 20, -5, 1, -2.9?
1
What is the closest to -3/5 in -4, 632, 0.1549, 3, 0?
0
What is the nearest to -4 in 4, 2/147, 0.5, 2/7639?
2/7639
What is the closest to 0.1 in 1/6, 6/7, 0.037, -6/19, -1/2?
0.037
Which is the closest to -1/2? (a) 1/4 (b) -28 (c) -2/11 (d) -5.1 (e) -12
c
Which is th... | {
"pile_set_name": "DM Mathematics"
} |
76.
5880
Calculate the common denominator of 57/124 and -29/8.
248
What is the lowest common multiple of 209 and 646?
7106
What is the common denominator of -65/176 and 83/432?
4752
Find the common denominator of 31/774 and -25/602.
5418
Calculate the least common multiple of 40 and 68.
680
What is the least common mul... | {
"pile_set_name": "DM Mathematics"
} |
+ 17, -2*q = -10. Solve -3*j = z*t - 2*j + 2, -14 = t + 3*j for t.
1
Suppose -c - 8*c + 18 = 0. Solve -11 = -n - 4*s, -c*n - 3*s = s - 14 for n.
3
Let h be (-144)/80*(-10)/6. Let t = 4 + -3. Suppose -o - 3*b + 3 = o, -b = t. Solve 0 = -3*c + 4*d - 15, h*c + o*d = -c - 20 for c.
-5
Let n(v) = v**3 + v - 4. Let l be n(0... | {
"pile_set_name": "DM Mathematics"
} |
) wrt f.
2
Let y be (78/(-12))/(-13)*0/1. Let d(g) be the second derivative of -1/12*g**4 + y*g**2 - 1/3*g**3 + 0 - 4*g. What is the second derivative of d(k) wrt k?
-2
Let j(b) be the first derivative of b**7/7 - 11*b**3/6 + 5*b - 11. Let s(o) be the first derivative of j(o). Find the second derivative of s(l) wrt l.
... | {
"pile_set_name": "DM Mathematics"
} |
gest value? (a) -2 (b) -1/10 (c) 19 (d) -0.04 (e) -2/13 (f) 81 (g) -1/3
g
What is the smallest value in -1/4, -0.3, -51/7, -1, -0.04, -3/4, -3?
-51/7
Which is the second smallest value? (a) -0.8 (b) 6/35 (c) -13 (d) -4
d
Which is the third biggest value? (a) 6/5 (b) 4 (c) 155288
a
What is the third bigges... | {
"pile_set_name": "DM Mathematics"
} |
281?
191556
Sum 186 and -269878.
-269692
Subtract -0.39 from 3063.26636.
3063.65636
Add together 25 and -36172300.
-36172275
Subtract 1.01 from 8072.8.
8071.79
Calculate -5 - 56.081771.
-61.081771
Subtract 66202248 from -125.
-66202373
-0.709+-839.2
-839.909
-0.08449 + 11660
11659.91551
What is -448197076.48 minus -0.5... | {
"pile_set_name": "DM Mathematics"
} |
4/3*k**w + 1/3*k.
k*(k + 1)**4/3
Let n be (-96)/12*(-1)/2. Let b(h) be the first derivative of 3/4*h**n - 2/5*h**5 - 2 - 1/3*h**3 + 0*h + 0*h**2. Factor b(s).
-s**2*(s - 1)*(2*s - 1)
Factor 2/3 - 2/9*i**5 + 22/9*i + 4/3*i**3 + 28/9*i**2 - 2/9*i**4.
-2*(i - 3)*(i + 1)**4/9
Let o(b) be the third derivative of -7*b**6/15 ... | {
"pile_set_name": "DM Mathematics"
} |
nder when g is divided by i.
53
Let y(g) be the third derivative of 0*g**5 + 1/8*g**4 + 0 + 1/120*g**6 + 0*g - 1/6*g**3 + 30*g**2. Calculate the remainder when 136 is divided by y(3).
31
Let s(y) = 136*y**2 - 69*y - 5. What is the remainder when s(-6) is divided by 177?
172
Let m(c) = c**3 + 2*c**2 - 19*c - 11. Let v b... | {
"pile_set_name": "DM Mathematics"
} |
*2 - 136*t*z**2
Find the third derivative of -2656*g*y**3 + 3*g*y**2 - 484*y**2 wrt y.
-15936*g
Find the second derivative of -31*a**2*l**2 + 5*a**2*l + 4*a*l**2 - 3*a wrt l.
-62*a**2 + 8*a
What is the second derivative of -561*s*z**3 + 21*s*z - s - z**4 + 3*z - 23 wrt z?
-3366*s*z - 12*z**2
What is the second derivati... | {
"pile_set_name": "DM Mathematics"
} |
1398.
-1398.307
-26 - -12.4
-13.6
What is 17201 less than 11?
-17190
63064+-0.2
63063.8
Work out -2 + -101852.
-101854
Work out 5.95 - 1.
4.95
-0.1582+1
0.8418
Sum -12.326 and 16.
3.674
Subtract 1074 from -0.2.
-1074.2
Calculate 120878 - -0.9.
120878.9
1 - -30181.28
30182.28
What is -0.2 minus -0.174?
-0.026
Put togeth... | {
"pile_set_name": "DM Mathematics"
} |
f -75/1568 and 155/1764?
14112
What is the least common multiple of 90 and 63?
630
What is the smallest common multiple of 88 and 90?
3960
What is the least common multiple of 144 and 18?
144
Calculate the common denominator of -35/64 and -7/8.
64
Calculate the common denominator of 97/20 and 91/6.
60
Find the common d... | {
"pile_set_name": "DM Mathematics"
} |
8). Solve -r = 4*n + 6 for n.
-3
Let v be 24/(-4)*(-1)/(-1). Let h = 7 + v. Let t be (-1 + h)/(-3 - -5). Solve -3*l = -t*l + 15 for l.
-5
Suppose 4*h = -3*s + 5 + 2, -5*h + 4*s + 32 = 0. Solve h = -r + 6 for r.
2
Suppose 3*v - 16 = -4. Suppose 8 = 4*d - v. Solve d*h - 2 = 1 for h.
1
Let t(w) = w**2 + 1. Let c be t(2). ... | {
"pile_set_name": "DM Mathematics"
} |
Let d(i) be the first derivative of 351*i**5 + i**3 - 2*i**2 - 51*i - 1563. Find the second derivative of d(j) wrt j.
21060*j**2 + 6
Suppose 3*l + 72 = 3*f, 2*f - 3*l = 7*f - 104. Let w be (-2 + 4)*(-5)/(-20)*f. What is the third derivative of -2*y**2 - 11*y**3 - w*y**2 - 133*y + 133*y wrt y?
-66
Let q = -48 - -51. Su... | {
"pile_set_name": "DM Mathematics"
} |
3. Calculate b*w(q) + 2*x(q).
-8*q**3
Let x(q) = 703*q - 3. Let v(t) = -234*t + 1. What is -8*v(f) - 3*x(f)?
-237*f + 1
Suppose -104*r + 566 - 174 = 92*r. Let k(v) = -2*v**2 - 20*v + 1. Let c(f) = 2*f**2 + 21*f - 2. What is r*c(j) + 3*k(j)?
-2*j**2 - 18*j - 1
Let g(m) = 5*m + 2. Let f(q) = q. Let h = 23466 + -23472. W... | {
"pile_set_name": "DM Mathematics"
} |
uming z is positive.
z**(1739/45)
Simplify (u**(1/2)/(((u**(-2/107)/u)/u)/u))/((u*u**27/u)/u**(2/11)) assuming u is positive.
u**(-54847/2354)
Simplify (t**(-1)*(t/(t*t**(3/7)*t))/t)**(-1/19)/((((t*t**0*t)/t)/t*t)/t*t**0*((t*t**(-6)*t)/t)/(t**(-2/3)/t)) assuming t is positive.
t**(1402/399)
Simplify (((m/m**(3/19))/m)/... | {
"pile_set_name": "DM Mathematics"
} |
201*v**2 + 487*v - 325. What is j(-98)?
-31
Let i(l) = 11*l**2 - 16*l - 1. Determine i(1).
-6
Let n(r) = -r - 3. Calculate n(26).
-29
Let p(i) = -12*i**2 + 46*i - 115. Determine p(6).
-271
Let q(s) = -s**3 + 25*s**2 - 46*s - 96. Determine q(23).
-96
Let m(a) = a**3 - 124*a**2 - 3902*a + 293. What is m(150)?
-7
Let l(k)... | {
"pile_set_name": "DM Mathematics"
} |
lve 0 = -9*p + g*p - o*k - 25, -k = 0 for p.
-5
Let s = -5 + 11. Let p(u) = -u**2 - 2*u - 3. Let x be p(-2). Let y = 3 + x. Solve s*a + v + 11 = 3*a, y = 2*a - 4*v - 2 for a.
-3
Let y(g) = -g - 4*g**2 + 4*g - 2*g. Let f be y(-1). Let n(o) = -o**2 - 6*o - 1. Let p be n(f). Solve 3*a + p = -2*i, 0*i + 3*a = 2*i + 16 for ... | {
"pile_set_name": "DM Mathematics"
} |
What is the greatest common factor of 22 and c?
11
Let k(z) = -z**3 - 3*z**2 + 10*z + 8. Let g be k(-6). Calculate the highest common factor of 7 and g.
7
Let f = 272 - 103. Calculate the highest common factor of 13 and f.
13
Suppose 0 = 2*t + 1 + 13. Let f be 14/t - (-16 + 0). Calculate the highest common divisor of f... | {
"pile_set_name": "DM Mathematics"
} |
+ 2*x**2 - x + 15
What is the l'th term of -1568, -3135, -4702, -6269?
-1567*l - 1
What is the y'th term of -21, -88, -201, -360, -565, -816?
-23*y**2 + 2*y
What is the r'th term of -95, -103, -127, -173, -247, -355?
-r**3 - 2*r**2 + 5*r - 97
What is the g'th term of -34, -107, -234, -415, -650, -939?
-27*g**2 + 8*g -... | {
"pile_set_name": "DM Mathematics"
} |
ob of picking 3 c?
0
Four letters picked without replacement from {i: 8, n: 3, x: 5}. What is prob of picking 2 i and 2 x?
2/13
Calculate prob of picking 1 a, 1 y, and 2 m when four letters picked without replacement from mamjjemymmaaj.
6/143
Four letters picked without replacement from {b: 1, h: 3, j: 5}. Give prob of... | {
"pile_set_name": "DM Mathematics"
} |
1. Let n be 1/(j/4 - 2). Calculate u(n).
-5
Let x(p) = -2*p**2 - 3*p + 19. Let c(f) = -f**2 - 2*f + 10. Let z(s) = -5*c(s) + 3*x(s). Calculate z(6).
-23
Let z(d) = 14 - 7 + 5*d - 12. Let c(s) be the third derivative of s**4/12 - s**3/3 - s**2. Let o(n) = 9*c(n) - 4*z(n). Give o(5).
-8
Let q(i) = 9 - 7 + 0 - 3*i. Calcul... | {
"pile_set_name": "DM Mathematics"
} |
22540)/3270 + 68)
-2/109
Evaluate (-4 + 5595/1680)/((-12)/14)*4/10.
5/16
What is the value of (989368/18112)/((-23)/(-2))?
19/4
What is ((5/(-6))/(-1 - (-56)/24))/((-130)/1768)?
17/2
Calculate (3787/(-1623) + 4/(-6))*(-130)/30.
13
((-3458)/12103)/(6/1008)
-48
What is the value of -3*4/(-30)*(371/(-212) + 23/(-44))?
-10... | {
"pile_set_name": "DM Mathematics"
} |
376113231, -1720141539, -2064169847?
-344028308*v + 1
What is the f'th term of 124592, 124607, 124624, 124637, 124640?
-f**3 + 7*f**2 + f + 124585
What is the s'th term of 4456, 17630, 39582, 70312, 109820, 158106, 215170?
4389*s**2 + 7*s + 60
What is the l'th term of 31349224, 31349225, 31349226?
l + 31349223
What is ... | {
"pile_set_name": "DM Mathematics"
} |
l (c) -17
c
Let s = 65 - 89. What is the second biggest value in -1, 2/17, -3, s?
-1
Let l = 191 + -3249/17. What is the second biggest value in 35/4, 4/5, l?
4/5
Let n = 533 - 4261/8. Let r = -1.4 - -2.6. Let a = 1 - r. What is the biggest value in n, a, -2?
n
Suppose -20 = -s + 3*r, 5*s + 5*r = 4*r + 84. Suppose 9*z... | {
"pile_set_name": "DM Mathematics"
} |
Factor -p**3 - 89*p**2 - 2107*p - 5547.
-(p + 3)*(p + 43)**2
Factor 3*i**4 - 12*i**3 + 6*i**2 + 12*i - 9.
3*(i - 3)*(i - 1)**2*(i + 1)
Factor 2*c**2/7 + 1240*c/7 + 192200/7.
2*(c + 310)**2/7
Solve -48*m**4 + 76*m**3 + 928*m**2 - 556*m + 80 = 0.
-4, 1/4, 1/3, 5
Factor 3*d**4/2 - 3*d**3.
3*d**3*(d - 2)/2
Factor 2*q**4/11... | {
"pile_set_name": "DM Mathematics"
} |
f(z) = z**2 - 8*z - 16. Let s(v) = -v**3 - 13*v**2 + 8*v - 34. What is the remainder when s(-14) is divided by f(11)?
16
Suppose 5*g = 2*c - 144, -5*c + 2*g + 320 = -c. What is the remainder when c is divided by 21?
19
Let l(p) = 2*p**3 + 2*p. Let t be l(2). Suppose 0 = -5*u + t + 5. Suppose 4*x + 23 = 2*m + 7, x = 3*m... | {
"pile_set_name": "DM Mathematics"
} |
digit of 2274?
2
What is the ten thousands digit of 97329?
9
What is the hundreds digit of 12691?
6
What is the tens digit of 1499?
9
What is the tens digit of 25173?
7
What is the tens digit of 19075?
7
What is the units digit of 527?
7
What is the hundreds digit of 1138?
1
What is the ten thousands digit of 73203?
7... | {
"pile_set_name": "DM Mathematics"
} |
((q*q*(q/q**(-3/8))/q*q)/q**2*(q/q**(-1/4))**(-29/3)) assuming q is positive.
q**(859/80)
Simplify ((q**0)**(16/11))**(-40)/(q**1*q*q**(-4)*(q/q**(-1/3))**(-43)) assuming q is positive.
q**(178/3)
Simplify ((l**1*l**(-5)*l)/(l**4/(l**(-1/11)/l)))/((l**(-1))**(-1/3)*(((l*l**(-1))/l)/l)**(-2/15)) assuming l is positive.
... | {
"pile_set_name": "DM Mathematics"
} |
t j?
-13584*w**2 - 6*w + 6
What is the first derivative of -2*c**4 - 1506*c**2 + 2110?
-8*c**3 - 3012*c
What is the first derivative of 522*b - 241 wrt b?
522
Find the second derivative of 25*a**3*h**2 - 7*a**2*h**2*u + a*h**2*u + 11*a*h**2 + h*u + 8*u wrt a.
150*a*h**2 - 14*h**2*u
Differentiate -21*g**2*i**3*w - 1332*... | {
"pile_set_name": "DM Mathematics"
} |
ative of -4 - n*o - 2*o**2 + 4 wrt o?
-4
Let a(v) be the first derivative of -v**4/4 + 7*v**3/3 + 3. What is the third derivative of a(x) wrt x?
-6
Let r(w) be the second derivative of w**7/504 - w**5/120 - w**4/6 - w. Let g(m) be the third derivative of r(m). What is the derivative of g(s) wrt s?
10*s
Suppose 3*i - 3 ... | {
"pile_set_name": "DM Mathematics"
} |
-15
Let h(n) = n**3 - 23*n**2 - 110*n + 68. Determine h(27).
14
Let n(d) = -d**2 + 34*d - 31. Give n(26).
177
Let d(p) = -18*p + 262. Give d(16).
-26
Let b(q) = 24*q**3 - 68*q**2 - 44*q + 108. Determine b(3).
12
Let p(c) = -82*c + 4044. Determine p(49).
26
Let x(y) = 763*y**2 - 6863*y - 2. Determine x(9).
34
Let o(w) =... | {
"pile_set_name": "DM Mathematics"
} |
of 26/9 and (-91)/4 + (-18)/24.
18
Suppose 17*j = 515 + 165. What is the smallest common multiple of j and 8?
40
Let b = -13243 + 238433/18. Find the common denominator of b and (-268)/(-88) - 4 - -1.
198
Let h = 5/6 + -67/66. Let a = -801/2 - -412. Let s = a + 33. What is the common denominator of s and h?
22
Suppose... | {
"pile_set_name": "DM Mathematics"
} |
e number?
False
Is 443489 composite?
False
Is 687277 prime?
True
Is 10007 a prime number?
True
Is 305157 a prime number?
False
Is 11311 prime?
True
Is 6805 prime?
False
Is 283147 prime?
False
Is 252313 a prime number?
True
Is 169967 composite?
True
Is 13529 composite?
True
Is 404483 composite?
False
Is 61211 prime?
Tru... | {
"pile_set_name": "DM Mathematics"
} |
with respect to r.
33
Let k(p) = 5*p**3 + 8*p. Let w(o) = 26*o**3 + 40*o. Let v(d) = 11*k(d) - 2*w(d). Find the second derivative of v(b) wrt b.
18*b
Let v(j) be the third derivative of j**8/1680 + j**4/24 + j**3/6 - 2*j**2. Let p(q) be the first derivative of v(q). Differentiate p(c) with respect to c.
4*c**3
Let u(t... | {
"pile_set_name": "DM Mathematics"
} |
d give d.
12
Rearrange 3*q + 13 - 26 - q - 6 to m + z*q and give z.
2
Express -66*t - 39*t - 35*t + 82*t as n + u*t and give u.
-58
Express -1 + 1 + 3*b**2 + (-4 + 4 - b)*(0*b - 3*b + 5*b) + (2 - 2 + 2*b)*(b - b + b) - 2*b**2 + b**2 + 3*b**2 as i + v*b + c*b**2 and give c.
5
Express -1 - 1 + 2 + 39*c - 2 as d + q*c and... | {
"pile_set_name": "DM Mathematics"
} |
14?
14
Let p = 11 - -9. Suppose 4*x - j - p = 0, -2*j - 20 = -5*x + x. Let s = 33 + -8. Calculate the greatest common factor of x and s.
5
Suppose -3*y + 33 = 3*h, 3*y - 21 = -4*h + 20. Let l be (-275)/(-175) - 3/(-7). What is the greatest common factor of h and l?
2
Suppose -z = -0 - 9. Suppose 1 = -4*v + z. Suppose -... | {
"pile_set_name": "DM Mathematics"
} |
2*s**3 + 148*s**2 + 71*s + 193. Is n(72) a prime number?
True
Suppose -23*w - 1174670 - 333532 = 0. Is -1*1/(-1)*w/(-18) prime?
True
Let i(x) be the third derivative of -151*x**4/6 + x**3/6 - 6*x**2. Let o be i(1). Let u = 1356 + o. Is u a prime number?
False
Suppose -696489 = -s - 4*j, 0 = -4*s + 70*j - 68*j + 2785830... | {
"pile_set_name": "DM Mathematics"
} |
k + 34*k.
-113*k
Collect the terms in 30*q + 4 + 2*q + 6*q - 13*q.
25*q + 4
Collect the terms in -1320 - 1340 + y + 2693.
y + 33
Collect the terms in 6*s - 2*s + s + 56*s + 58*s.
119*s
Collect the terms in -61669713*u + 61669713*u + 14*u**2.
14*u**2
Collect the terms in -56*q**2 + 2*q + 0*q + 12 + 47 - 3.
-56*q**2 + 2*... | {
"pile_set_name": "DM Mathematics"
} |
et a(z) = z**2 + 6*z - 1. Let f be a(-6). Let k = f - -81. What is the highest common factor of k and 10?
10
Let s be (91/14)/(2/8). Suppose -86 - s = -2*g. Let y = g - 40. Calculate the greatest common divisor of 4 and y.
4
Suppose -5*d - 2*i + 6 = 0, d - 15 = 4*d - 5*i. Suppose 0 = -2*z + 2*y - d*y + 158, 2*y + 233 =... | {
"pile_set_name": "DM Mathematics"
} |
l a multiple of 3?
True
Suppose 3*n + 2*y - 510 = 0, 2*n = -2*y + 90 + 250. Is 85 a factor of n?
True
Is 57 a factor of (-240576)/(-105) + 4/5?
False
Let a(i) = i**3 + 22*i**2 - 24*i - 19. Let u be a(-23). Does 21 divide ((-66)/5 + 2)*(-30)/u?
True
Let d(m) = -87*m - 311. Is 10 a factor of d(-20)?
False
Suppose 8 = 3*... | {
"pile_set_name": "DM Mathematics"
} |
oottokokkoook?
21/715
What is prob of sequence iii when three letters picked without replacement from illliiilliililii?
3/20
Two letters picked without replacement from {x: 1, l: 4, q: 1, r: 1, j: 1, t: 4}. Give prob of sequence xt.
1/33
Calculate prob of sequence pvv when three letters picked without replacement from ... | {
"pile_set_name": "DM Mathematics"
} |
vative of -2*i**5/5 - i**4/6 + 3*i. What is the third derivative of t(s) wrt s?
-48
What is the third derivative of -13*t**2 - 4*t**4 + 11*t**4 + 16*t**2 wrt t?
168*t
Let x(v) be the third derivative of -v**8/336 + v**5/15 + 6*v**2. Find the third derivative of x(u) wrt u.
-60*u**2
Let o(i) be the second derivative of ... | {
"pile_set_name": "DM Mathematics"
} |
(b) 0.5 (c) 67 (d) -5 (e) -4
e
What is the third biggest value in -4, 3/5, -8?
-8
Which is the second biggest value? (a) -3 (b) 0.9 (c) 5
b
Which is the fourth biggest value? (a) 2/19 (b) 0.4 (c) 34 (d) 0.9
a
What is the second biggest value in -18, -1/2, 0.14, 2.7?
0.14
Which is the second smallest value? ... | {
"pile_set_name": "DM Mathematics"
} |
v - 247*v.
2*v**3 - 265*v
Collect the terms in -17*j**3 + 454201232*j**2 + 3*j**3 - 454201235*j**2.
-14*j**3 - 3*j**2
Collect the terms in 334*i**3 - 126*i + 126*i + 3*i**2.
334*i**3 + 3*i**2
Collect the terms in 21 - d**2 - 10*d + 2*d**2 - 4*d + 0*d**2 + 15.
d**2 - 14*d + 36
Collect the terms in 627*u**2 + 414*u**2 - ... | {
"pile_set_name": "DM Mathematics"
} |
sqrt(68) + 1 + 3 + 3 + -4 + sqrt(68)*1 + 5 + sqrt(68) + -1 + sqrt(68) + -2))**2.
-40*sqrt(17) + 297
Simplify ((4 + (sqrt(192)*-1 - sqrt(192)))**2 - (sqrt(192)*2 + sqrt(192) + 4)) + 1 - ((5*sqrt(108)*1*-4)**2 + -2).
-42417 - 152*sqrt(3)
Simplify (-5*(-1 + (sqrt(2448) + (-5*sqrt(2448)*-1 - sqrt(2448)) + -1 - (sqrt(2448)*... | {
"pile_set_name": "DM Mathematics"
} |
0.4
What is the nearest to 0 in -1/2, -3/5, -0.1, 0.07?
0.07
What is the closest to -50 in 0.1, 0.01, -4?
-4
Which is the nearest to 2/21? (a) -2 (b) 3/2 (c) -5/7
c
What is the nearest to -1 in -4, 0.05, -2/3, 5?
-2/3
Which is the nearest to 3? (a) -36/5 (b) 3/2 (c) -5 (d) -0.1
b
Which is the nearest to 1? (a)... | {
"pile_set_name": "DM Mathematics"
} |
prime factors of 62954.
2, 31477
List the prime factors of 8181.
3, 101
What are the prime factors of 106561?
7, 13, 1171
List the prime factors of 3546.
2, 3, 197
List the prime factors of 1809.
3, 67
List the prime factors of 10473.
3, 3491
What are the prime factors of 8095?
5, 1619
List the prime factors of 1709.
... | {
"pile_set_name": "DM Mathematics"
} |
ate x(v(k)).
-25*k**4
Let s(f) = 5*f. Let x(j) be the second derivative of 11*j**4/4 + j**3/3 - 307*j. What is s(x(w))?
165*w**2 + 10*w
Let k(p) = -p. Let f(g) be the third derivative of -g**6/72 + 17*g**3/2 - 10*g**2. Let y(i) be the first derivative of f(i). Give k(y(c)).
5*c**2
Let z(d) be the third derivative of -3... | {
"pile_set_name": "DM Mathematics"
} |
84/6 + 1 + -1. Let p = a + -300. Let b = -5825 - -5871. What is the common denominator of b and p?
3
Let r(f) = 7*f - 11. Let x be r(-5). Calculate the common denominator of -3/8 and 16/(-24)*150/x.
184
Let h(z) = z**2 - 4*z - 5. Let v(x) = x**3 + x**2 - 3*x + 1. Let a be v(2). Calculate the least common multiple of h(... | {
"pile_set_name": "DM Mathematics"
} |
7, 5, 2, 3?
2
Which is the closest to 1? (a) 4 (b) 2/5 (c) 0
b
What is the closest to -0.2 in 5, -3, -0.05, 11?
-0.05
Which is the closest to -0.1? (a) 0.4 (b) 4/67 (c) 0.5
b
What is the nearest to 10 in -3, -2/7, 127?
-2/7
Which is the nearest to 61? (a) 55 (b) -2 (c) -1
a
Which is the nearest to -2/57? (a) ... | {
"pile_set_name": "DM Mathematics"
} |
third derivative of -11*a**6/60 - 5*a**4/6 + 12*a**2. What is the second derivative of u(x) wrt x?
-132*x
Let x(z) be the third derivative of z**8/6720 + z**6/144 - z**5/10 - 5*z**2. Let m(o) be the third derivative of x(o). What is the derivative of m(l) wrt l?
6*l
Let p = 2 + 5. Let j = 11 - p. What is the second de... | {
"pile_set_name": "DM Mathematics"
} |
v**(-65/2)
Simplify (b**6/b**(-1/9)*(b*b**(2/5))**5)/((b*b**(-1))/(b**(-3)/b))**(-5/6) assuming b is positive.
b**(148/9)
Simplify ((v*v*v*v**(-3/2))**(3/7))**(1/14)/(((v/v**(-1/12))/(v*v*v**(3/4)/v*v))/(v*v**(-1/3)*v)**(-2/3)) assuming v is positive.
v**(1061/1764)
Simplify (p*(p/p**(-2/7))/p*p*p**(-3/2)*p)**17/(((p/... | {
"pile_set_name": "DM Mathematics"
} |
ulate the remainder when 348154 is divided by 78.
40
Calculate the remainder when 15423 is divided by 3084.
3
What is the remainder when 227757 is divided by 25298?
75
Calculate the remainder when 64841 is divided by 16210.
1
What is the remainder when 9747 is divided by 2431?
23
Calculate the remainder when 10596 is d... | {
"pile_set_name": "DM Mathematics"
} |
ing order.
2/3, z, s
Let y be (-12)/42*14/(-2). Sort -5, y, -4, 13 in descending order.
13, y, -4, -5
Let v = -0.1 - -0.2. Let l = -12.7 + 13. Let p = l + 0.2. Sort v, -1/2, p.
-1/2, v, p
Let w = 37 + -36.83. Put 2/21, 0.3, w in descending order.
0.3, w, 2/21
Let c = -54 - -45. Put -2, -4, 1, c in descending order.
1, ... | {
"pile_set_name": "DM Mathematics"
} |
+ j - 15 = 5*j. Let p(k) = -2*k - 22. Let x be p(t). Is 1*6887 - (12 + x) a prime number?
True
Let j(m) = 42*m**2 + 21*m + 0*m**3 - 17*m**2 - 3*m**3 + 1 + 2*m**3. Is j(24) a composite number?
True
Let h = -100 + 57. Let x = -40 - h. Suppose -5*w = m - 70, 5*w + 185 = -m + x*m. Is m a prime number?
False
Suppose 17*l -... | {
"pile_set_name": "DM Mathematics"
} |
v**2 + w and give t.
-12
Rearrange 0*r - 53 - r**2 + 53 + r + r**3 to u*r**2 + a + y*r**3 + p*r and give u.
-1
Express (38 - 112 - 29)*(0*w + w + 0*w) - 1 + 2*w + w - 4*w in the form p + d*w and give d.
-104
Express -4*u**2 + 33 + 5*u - 33 as v*u + p*u**2 + t and give p.
-4
Express -5*g**2 + 2*g**3 + 17*g**2 - 6*g**2 +... | {
"pile_set_name": "DM Mathematics"
} |
is the value of 2 - ((-3 - -5) + 2)?
-2
7 - (-5 + (3 - -10))
-1
-1 + (-1 - -8) - 4
2
(-36 - -35) + (2 - 0) - -2
3
Evaluate (2 - (0 - 2)) + 39 + -39.
4
What is (-12 - -15) + -15 + 5?
-7
Calculate (0 - ((-3 - 1) + 3)) + 4.
5
(-1 - 0) + 0 + -2 + -2
-5
What is the value of 6 + 5 + 0 + 6 + -20?
-3
Calculate (0 - 0) + 1 + -1... | {
"pile_set_name": "DM Mathematics"
} |
= 2. Let u = j + 0. Let k(l) = -8*l**3 + 2*l**2 + 6*l + 7. What is the units digit of k(u)?
7
Suppose 1511*k = 1473*k + 2470532. What is the tens digit of k?
1
Suppose 4*a - 13807 = -5*r, 65 - 55 = -2*r. What is the thousands digit of a?
3
Let i be (-1100)/4*(2 - (4 - -1)). Let o be ((-1)/2)/(3/(-24)). Suppose o*g - i... | {
"pile_set_name": "DM Mathematics"
} |
*2 - 119*p - 19. What is the third derivative of a(r) wrt r?
14760*r**2 + 72*r - 6
Let w(g) = -122*g**4 - 8*g**3 - 480. Let q(k) = k**3 + 3. Let m(r) = -8*q(r) - w(r). What is the derivative of m(b) wrt b?
488*b**3
Let a(w) be the first derivative of -1336*w**4 - 6225*w - 3501. Differentiate a(n) with respect to n.
-16... | {
"pile_set_name": "DM Mathematics"
} |
23, -3*h = 3*s. What is the remainder when h is divided by -2*-1*1/2?
0
Let r(l) = -26*l - 11. Let f(j) = j**2 + 9*j + 8. Let m be f(-7). What is the remainder when r(m) is divided by 37?
34
Suppose -501 = -20*u + 419. What is the remainder when 183 is divided by u?
45
Suppose 2 - 8 = -2*p. Suppose -p*z - 4*q + 72 = z... | {
"pile_set_name": "DM Mathematics"
} |
ose -c = 5*o + 21, -5*o + 5*c = c + 16. Sort 0, o, -3, -14 in increasing order.
-14, o, -3, 0
Let b(t) = -t**2. Let x be b(2). Let l be (-23)/4 - 3/12. Let p = -2 - l. Sort -3, x, p in ascending order.
x, -3, p
Let d be (462/(-275))/((-8)/10). Let w = -3/2 + d. Sort -0.4, w, -5 in decreasing order.
w, -0.4, -5
Let z = ... | {
"pile_set_name": "DM Mathematics"
} |
+ -2 + sqrt(2299))**2.
-198*sqrt(19) + 9221
Simplify (sqrt(1584)/sqrt(11))/(3*sqrt(2)*-1).
-2*sqrt(2)
Simplify -4*(4*2*sqrt(144))/sqrt(8).
-96*sqrt(2)
Simplify (sqrt(240)*1 + sqrt(240) - sqrt(15))/((-1*sqrt(40))/sqrt(8)).
-7*sqrt(3)
Simplify (sqrt(81)/sqrt(3))**2 + sqrt(15)/(sqrt(10)/sqrt(2)).
sqrt(3) + 27
Simplify -3... | {
"pile_set_name": "DM Mathematics"
} |
0/32. What is the nearest to b in 0, a, -0.07?
-0.07
Let q = 3.663 - 0.063. Let r = 1.6 - q. Let u be 16/(-120)*(-1 - 5). Which is the nearest to r? (a) u (b) -5 (c) 5
a
Let s = -9290.4009 - -9290. What is the nearest to 1 in -1, -2, s?
s
Let d = -15541 - -15543. What is the nearest to -24 in 1, d, -5, 2/3?
-5
Let t... | {
"pile_set_name": "DM Mathematics"
} |
Let n(p) = -52*p. What is n(l(y))?
104*y**2
Let b(z) = z + z + 0*z. Let n(l) = -480*l + 22. Let j(q) = -241*q + 12. Let o(y) = -11*j(y) + 6*n(y). Determine o(b(f)).
-458*f
Let x(u) = -3*u**2. Let i(s) = s**2 - s + 11. Let g(c) = -2*c**2 + 23*c - 33. Let j(d) = g(d) + 3*i(d). Calculate j(x(t)).
9*t**4 - 60*t**2
Let m(t)... | {
"pile_set_name": "DM Mathematics"
} |
Calculate b.
-2, 1
Let z = 166 + -1824/11. Factor -12/11*v**2 + 8/11*v**3 - 2/11*v**4 - z + 8/11*v.
-2*(v - 1)**4/11
Let j = -4 + 6. Suppose 5*a - 19 = 11. Factor 6 - a + j*k**4 + 2*k**3.
2*k**3*(k + 1)
Let a(v) be the second derivative of v**4/20 - 20*v. Factor a(h).
3*h**2/5
Let m(z) be the third derivative of 1/75*z... | {
"pile_set_name": "DM Mathematics"
} |
+ 3*t)*(34*t**2 - 4 + 4) - 438*t - t**2 - 15*t**3 + 438*t.
53*t**3 - t**2
Expand (20*h**2 - 175*h + 175*h)*(-7 + 31 - 73).
-980*h**2
Expand (z**2 + 3*z**2 - 2*z**2)*(4307 + 607 + 455).
10738*z**2
Expand -77*p + 0*p**4 - 38*p + 6*p + 2*p**4 + (-2 + 2 + p**3)*(-5*p - 17*p + 4*p).
-16*p**4 - 109*p
Expand (-12*w - 10*w + 6... | {
"pile_set_name": "DM Mathematics"
} |
q**2 - 20/9*q**3 - 2/9*q**4 = 0. What is q?
-7, -1
Let w(i) = -i**2 - 8*i - 12. Let a be w(-6). Let n(r) be the first derivative of 4 + 1/3*r**3 + a*r**2 + 0*r. Factor n(x).
x**2
Let h(k) be the first derivative of -1 + 0*k**2 + 1/120*k**6 + 1/12*k**3 - 1/40*k**5 - 2*k - 1/48*k**4. Let q(n) be the first derivative of h... | {
"pile_set_name": "DM Mathematics"
} |
8. Determine a(-128).
-8
Let t(h) = -121*h**2 - 705*h + 162. Determine t(-6).
36
Let j(q) = 878*q + 12989. Calculate j(-11).
3331
Let b(z) = z**3 - 272*z**2 + 16185*z + 419. Give b(184).
-869
Let t(i) = i**3 - 12*i**2 - 271*i - 185. Calculate t(-11).
13
Let a(t) = -3*t**3 - 40*t**2 - 123*t - 88. Determine a(-2).
22
Let... | {
"pile_set_name": "DM Mathematics"
} |
= 7*p(z) - 4*t(z). What is the first derivative of i(k) wrt k?
18*k - 10
Let m(p) = p**4 + 2*p**3 - p**2 + p. Let v(k) = -171*k**4 + 2*k**3 - 10*k. Let n(j) = -m(j) + v(j). Find the third derivative of n(u) wrt u.
-4128*u
Let i(q) = -37*q**2 + 2*q + 157. Let m(w) = -41*w**2 + 3*w + 158. Let c(v) = 3*i(v) - 2*m(v). Wha... | {
"pile_set_name": "DM Mathematics"
} |
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