text stringlengths 1.4k 8.19k | meta dict |
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. Give 7*o(y) + 2*w(y).
y**3 - y
Suppose 5*r - 3*y + 27 = 0, 2*r + 4*y + 9 = 7*y. Let o(w) = 4*w**3 + w - 3. Let m(q) = 3*q**3 - 2. Calculate r*m(t) + 4*o(t).
-2*t**3 + 4*t
Let o(g) = 2*g**2 + g + 2. Suppose -1 = -2*x + 1. Let p = x - -1. Let z(m) = -1 + 0*m**p + m**2 - 2*m**2. Give 2*o(u) + 6*z(u).
-2*u**2 + 2*u - 2
L... | {
"pile_set_name": "DM Mathematics"
} |
11/3 = 0?
-1/14, 22
Factor 4*g**3/5 - 1188*g**2/5 + 89964*g/5 - 259308/5.
4*(g - 147)**2*(g - 3)/5
Factor -2*s**3 - 1164*s**2 + 2334*s - 1168.
-2*(s - 1)**2*(s + 584)
Let 4*s**4 + 408*s**3 + 804*s**2 + 400*s = 0. What is s?
-100, -1, 0
Factor -2*b**2/3 - 88*b/3 + 30.
-2*(b - 1)*(b + 45)/3
Factor 2*q**5/13 - 270*q**3/13... | {
"pile_set_name": "DM Mathematics"
} |
j - 8)*(2*j**3 + 3 - 3) to the form b*j**3 + r*j**4 + c + o*j**2 + g*j and give r.
2048
Rearrange -12363*s**2 + 3*s**3 - 118 + 12363*s**2 + 2*s - 2*s to the form t*s**3 + n*s + c*s**2 + k and give t.
3
Rearrange -100*h - 49 + 53*h + 46 - h**4 + 47*h - 84*h**2 to the form y*h**4 + m*h**2 + o*h**3 + k*h + a and give y.
-... | {
"pile_set_name": "DM Mathematics"
} |
1, 2
Let d(g) be the first derivative of 5*g**3/3 - g + 7. Let n be d(-1). Factor -20*f**5 - 8*f**2 - f**4 + 4*f + 16*f**5 + 9*f**n.
-4*f*(f - 1)**3*(f + 1)
Factor -4/3*n + 0 + 10/3*n**2 + 2/3*n**5 - 2*n**3 - 2/3*n**4.
2*n*(n - 1)**3*(n + 2)/3
Let z(y) be the second derivative of 2*y**7/21 + 2*y**6/15 - 9*y**5/5 - 3*y*... | {
"pile_set_name": "DM Mathematics"
} |
ssuming d is positive.
d**(252/17)
Simplify ((s*(s**(-8)*s*s)/s*s)/(s*s*s**(1/5)*s))**(17/5) assuming s is positive.
s**(-697/25)
Simplify ((q/q**(-1))**(-22)*(q*q/(q/(q/(q*q/(q*q**1/q)*q)*q)))/q**(-3))**(-44) assuming q is positive.
q**1760
Simplify ((k**14/k*k)/k*k**(-4/9))/(k**(-4)*k)**(-2/23) assuming k is positive... | {
"pile_set_name": "DM Mathematics"
} |
).
6592*o**2 - 3
Suppose 2*z - 6 + 2 = 0. Let c(s) = z*s + 5*s - 13*s + 5*s. Let n(k) be the third derivative of -k**5/3 - 3*k**2. Give c(n(f)).
20*f**2
Let p(k) = 2*k**2. Let u(n) = 14979665*n**2. Calculate p(u(v)).
448780727024450*v**4
Let i(b) = 25380*b**2 + 5922*b + 658. Let f(t) = -193*t**2 - 45*t - 5. Let x(p) = ... | {
"pile_set_name": "DM Mathematics"
} |
2288160*f**3
What is the third derivative of 2727*y**5 - 18*y**4 + 3*y**3 - 4559802*y**2?
163620*y**2 - 432*y + 18
What is the third derivative of -c**6*p + 2*c**3*p**2 - 3806*c**3 - 2*c**2*p**2 + c**2*p - 12*c**2 - 1026*c*p**2 - 9*p**2 wrt c?
-120*c**3*p + 12*p**2 - 22836
What is the second derivative of 9*m**4 + 26*m... | {
"pile_set_name": "DM Mathematics"
} |
n + 135. Let k(z) = 5*a(z) - 2*d(z). Determine w so that k(w) = 0.
-1, 43
Let n(v) = 5*v**2 + 1426*v + 576. Let p(y) = -18*y**2 - 4276*y - 1728. Let t(m) = 16*n(m) + 5*p(m). Factor t(c).
-2*(c - 144)*(5*c + 2)
Let j(l) = -4*l**3 + 29*l**2 + 36*l + 6. Let a(x) = -20*x**3 + 148*x**2 + 184*x + 32. Let w(h) = 3*a(h) - 16*j... | {
"pile_set_name": "DM Mathematics"
} |
e -8*u = -u + 483. Let s = u + -12. Let o = -66 - s. Solve 0*m + o = -5*m for m.
-3
Let w(j) = 94 - 41*j**2 + 12*j**2 + 5*j - 90. Let o be w(-1). Let r = o - -33. Solve 5 = -2*z - r*z for z.
-1
Let t be 102/30 - (2 - 24/15). Let i(l) = 3*l + 2*l - 5 - t*l**2 - 2*l**2 + l**2 + 2*l**3. Let g be i(2). Solve -4 = -g*x + x ... | {
"pile_set_name": "DM Mathematics"
} |
- 2*n**3 - 2*n**4 - 5*n**2 + 6*n**2 to the form h + p*n + g*n**2 + m*n**3 + s*n**4 and give p.
2
Rearrange -154*i**4 + 2*i**2 + i**3 + 156*i**4 + 4 + 0*i**3 to the form r*i**2 + w + q*i + h*i**4 + u*i**3 and give r.
2
Express (1 - 1 - 2*z)*(2 + 1 - 2)*(5 - 4 - 2) - z - 3*z + z in the form n + i*z and give i.
-1
Expres... | {
"pile_set_name": "DM Mathematics"
} |
- 76*i*x**3 + 13*i*x**2 - x**3 - 5*x**2 wrt i.
-312*i**2*x + 724*x**3
Find the second derivative of 39*h**4 + 9*h**3 - 11*h**2 - 47024*h.
468*h**2 + 54*h - 22
Differentiate 160*d*l**2 - 5503*d*l + 715257*d wrt l.
320*d*l - 5503*d
What is the third derivative of -889516*w**3 + 96*w**2 - 4652?
-5337096
Differentiate 2*c... | {
"pile_set_name": "DM Mathematics"
} |
- 5*r**2*y + 8*r**2 - 2*r*y**3 - 4037*r*y**2 - 70*r wrt y.
12*r**3*y - 12*r*y - 8074*r
Find the third derivative of 806755*l**3 - 674571*l**2 wrt l.
4840530
What is the second derivative of 227282*f**4 - 544954*f?
2727384*f**2
What is the second derivative of 32150*v**5 + 28915*v wrt v?
643000*v**3
Find the third deriv... | {
"pile_set_name": "DM Mathematics"
} |
f**3 + c**3*f**2 - 2124*c**3*f + 3*c**3 + 2*f + 1 wrt f?
-12064542*c**3
What is the first derivative of -536029*q - 288622 wrt q?
-536029
Find the third derivative of -113632*m**6 - 114088*m**2 wrt m.
-13635840*m**3
Differentiate 5*n**3 + n**2 - 1439*n + 187645 with respect to n.
15*n**2 + 2*n - 1439
Find the third der... | {
"pile_set_name": "DM Mathematics"
} |
*3 and give t.
0
Express (2*x - 4*x - 2*x)*(-29*x**2 + 26*x**2 - 1168*x**3 + 872*x + 1166*x**3) in the form f + m*x**4 + r*x + p*x**3 + b*x**2 and give m.
8
Express -71466*z + 35737*z - 2 + 35729*z + 711*z**2 as a*z**2 + o*z + k and give a.
711
Rearrange -a**2 - 19 - 14*a - 28 + 12 - 9*a + 21*a to the form k*a**2 + m*a... | {
"pile_set_name": "DM Mathematics"
} |
64
Simplify (-2*(-2 + sqrt(3)*-3) + (sqrt(108)/sqrt(3))/sqrt(12) + -5)**2.
-14*sqrt(3) + 148
Simplify 2*(sqrt(5) + (sqrt(5) - 6*(-4*sqrt(5))**2)) - (-4*(sqrt(5) + 0) - -5*(sqrt(125))**2).
-1585 + 8*sqrt(5)
Simplify (-5*1*(sqrt(133) - ((sqrt(133) - (sqrt(133) - 2*sqrt(133))) + sqrt(133)) - sqrt(133)))/(2*sqrt(77)/(sqrt(... | {
"pile_set_name": "DM Mathematics"
} |
1/2))/h*h)**(10/7) assuming h is positive.
h**(-31/63)
Simplify ((h**(-1/5))**(-4/15)/((h*h**(-13/3))/(h*h*h**(-9))))**(-37) assuming h is positive.
h**(10027/75)
Simplify h**(3/7)/(h*h*h**7)*(h**(-1/2)/h)**(-45)*((h/(h/h**(-2/5)))/h**(-7))/(h**2/((h**(3/8)*h)/h)) assuming h is positive.
h**(17893/280)
Simplify ((i**(-... | {
"pile_set_name": "DM Mathematics"
} |
*2 + 840*k**2
What is the second derivative of d**2*m**4 + 95892*d**2*m**3 + 42898*d**2*m - 2*d**2 wrt m?
12*d**2*m**2 + 575352*d**2*m
Find the third derivative of 28480*o**3 - 4*o**2 - 1978*o wrt o.
170880
Find the second derivative of -h**3 + 50316*h**2 + 15*h + 17214 wrt h.
-6*h + 100632
What is the third derivative... | {
"pile_set_name": "DM Mathematics"
} |
z*s**3 + n + w*s + k*s**2 and give z.
-3
Rearrange 2*f**3 + f**4 - 1 - 4*f**3 - 5*f**2 + 6*f**2 to the form r + g*f**3 + n*f**2 + i*f + p*f**4 and give r.
-1
Express (3*s**2 + 4*s**2 + 0*s**2)*(-3*s + 3*s + 10*s**2)*(1 + 1 - 5) as f*s**2 + q*s + z + b*s**4 + h*s**3 and give b.
-210
Rearrange (-34*j + 251*j + 10*j)*(-2... | {
"pile_set_name": "DM Mathematics"
} |
**3 + 0 + 6/5*d = 0.
0, 1, 2
Let m = -522 + 524. Let g be (8 - 0)/(3*m/3). Solve -1/2 + 4*l**g - l**3 - 7/2*l**2 + 11/4*l - 7/4*l**5 = 0.
-1, 2/7, 1
Solve 35*h**3 + 49*h - 258*h**4 - 41*h - 38*h + 208*h**4 + 55*h**2 = 0 for h.
-1, 0, 1/2, 6/5
Let m(z) be the second derivative of -48/7*z**2 - 38/3*z**4 + 4*z - 4 - 7/5*z... | {
"pile_set_name": "DM Mathematics"
} |
se j - o = -w*j. Is j a multiple of 12?
True
Let a(z) = -z**3 + 16*z**2 + 17*z + 20. Is 7 a factor of a(15)?
False
Suppose 5*w + 3*u - 1085 = 159, 1003 = 4*w + 5*u. Does 14 divide w?
False
Let g(u) = 6*u - 1. Suppose -3*j = -0*j + 4*h - 19, 3*j - h = -1. Let v be g(j). Suppose -v*y + 270 = -0*y. Does 27 divide y?
True
... | {
"pile_set_name": "DM Mathematics"
} |
z + n*z**2 + y = 0 for z.
7
Let q(o) be the second derivative of -o**7/273 + 11*o**6/195 - 21*o**5/65 + 34*o**4/39 - 40*o**3/39 - 316*o. Find i, given that q(i) = 0.
0, 2, 5
Let d(z) be the second derivative of -1/231*z**7 + 3/11*z**4 - 4/165*z**6 + 0*z**2 + 3/110*z**5 + 0 + 0*z**3 + 47*z. Factor d(n).
-2*n**2*(n - 2)*... | {
"pile_set_name": "DM Mathematics"
} |
as u*k**2 + r*k + i and give u.
-4672
Rearrange (-173*a**2 - 2775*a**3 - 136 + 2778*a**3 + 135)*(2 - 2 - 2*a) + a - a - a**4 to the form g*a**2 + d*a + c*a**4 + w + r*a**3 and give d.
2
Rearrange -989*n - 413*n - 566*n + 2 - 314*n to the form m*n + q and give q.
2
Rearrange 1 + 6*j**4 + 20*j**2 - 52*j**3 + 33*j**2 - 52... | {
"pile_set_name": "DM Mathematics"
} |
19*i**2. Determine g(m(y)).
76*y**2 + 1596*y + 8379
Let t(d) = 2*d**2. Let p(g) = -51*g + 3. Determine p(t(s)).
-102*s**2 + 3
Let i(k) = -k. Let w(q) = -q**2 + 6*q + 9. Let x be w(7). Let d(f) = 3*f + f**x - 3*f. What is d(i(t))?
t**2
Let w(a) = 7 - 7 - 2*a. Let t(d) = 6*d**2. Determine w(t(n)).
-12*n**2
Let l(y) = -6... | {
"pile_set_name": "DM Mathematics"
} |
261 + -1269. What is p(w)?
-24
Let n(m) = 4*m - 20. Suppose 0 = -45*j + 47*j - 22. Determine n(j).
24
Let d(p) = -p**3 + 3*p**3 - 58 - 3*p**3 - 23*p - 366*p**2 + 345*p**2. Calculate d(-20).
2
Let r(j) = -4*j + 55. Let s be r(8). Suppose 16*y - s*y + 7 = 0. Let c(i) = 4*i**3 - i. What is c(y)?
3
Let b = -11 + 8. Let s(c... | {
"pile_set_name": "DM Mathematics"
} |
+ d. Is s(g) composite?
False
Let i(f) = -7*f**3 - 3*f**2 - 2. Let x be i(-3). Suppose 4*s + b = 154, s - 4*b = 5*s - x. Is s a prime number?
False
Let q(y) = -y**3 - 3*y**2 - 4*y - 2. Let o be (-6 - -4)*7/2. Let w = 4 + o. Is q(w) prime?
False
Let w = 14 - 14. Suppose 0*u + 5*u - 385 = w. Is u composite?
True
Suppose... | {
"pile_set_name": "DM Mathematics"
} |
q).
-1
Let v(n) = -n**3 - 9*n**2 + 2*n - 17. Let m(d) = d**3 + 8*d**2 - d + 14. Let k(i) = -5*m(i) - 4*v(i). Give k(-3).
-2
Let r(c) = -c**3 + 5*c**2 - c + 3. Let i(p) = -p**2 + 3*p - 3. Let v be i(5). Let t = -13 - v. Let l = 5 - t. Calculate r(l).
-2
Let r(n) = 5*n**2 + n + 10. Let k(s) = 4*s**2 + 9. Let h(b) = 6*k(b... | {
"pile_set_name": "DM Mathematics"
} |
e (3 - 3 + 2)*(2*w - 3 + 3 + (2*w - w - 3*w)*(-2 + 0 + 0) + 4 - 4 + 2*w - 3*w + w + 0*w + (1 - 2 + 5)*(2 - 3*w - 2) + w + 1 - 1) to c + h*w and give h.
-10
Rearrange -5*h**3 + 244*h - 244*h + 64 - h**3 + 14*h**3 to i*h + x*h**2 + m*h**3 + t and give t.
64
Rearrange (19*r**2 - 77*r + 77*r)*(1831 - 900 + 1641*r - 931) to... | {
"pile_set_name": "DM Mathematics"
} |
(8))**2 - (-3*(sqrt(55)/sqrt(5) + 2))**2)*1.
-36*sqrt(11) - 91
Simplify ((sqrt(80) + 2 + -2 - sqrt(80) - ((sqrt(80) - (-5*(sqrt(80)*2 + sqrt(80) + sqrt(80)) + sqrt(80))) + sqrt(80) + sqrt(80))) + 5)**2.
-880*sqrt(5) + 38745
Simplify 2*4*(5 + -1*sqrt(1216)).
-64*sqrt(19) + 40
Simplify (-4*(-4 + -4*(sqrt(33)/(sqrt(6)/sqr... | {
"pile_set_name": "DM Mathematics"
} |
.
2, 813
What is q in -4*q**3/5 + 16*q**2/5 + 48*q/5 = 0?
-2, 0, 6
Let -4*o**5 + 28*o**4 - 8*o**3 - 112*o**2 + 96*o = 0. What is o?
-2, 0, 1, 2, 6
Determine p, given that 2*p**2 + 28*p + 48 = 0.
-12, -2
Factor -20*r**3/3 + 1282*r**2/3 - 20608*r/3 + 2048/3.
-2*(r - 32)**2*(10*r - 1)/3
Determine b so that 31*b**3 + 33*b*... | {
"pile_set_name": "DM Mathematics"
} |
*a**4 + 1157 - 1157 + 21*a**2 wrt a.
-432*a
Let k(r) be the first derivative of 41*r**7/70 - 85*r**3/6 + 37*r**2 - 67. Let o(i) be the second derivative of k(i). What is the derivative of o(d) wrt d?
492*d**3
Find the second derivative of -1343*z + 184*z - 1895*z**2 + 98*z - 99*z**2 wrt z.
-3988
Let a be -8 - (-20 - -6... | {
"pile_set_name": "DM Mathematics"
} |
et s(z) = -z**2 - 2*z - 3. What is s(-2)?
-3
Let a(m) = 5*m - 6. Calculate a(6).
24
Let b(l) = -l**3 + 16*l**2 + 21*l - 16. Give b(17).
52
Let v(o) = o**3 + 6*o**2 + 8*o - 2. Give v(-2).
-2
Let i(p) = p**3 + 10*p**2 - 12*p. What is i(-11)?
11
Let l(g) = 3*g**3 + 2*g**2 + 5*g + 4. Calculate l(-2).
-22
Let x(h) = 6*h**2 ... | {
"pile_set_name": "DM Mathematics"
} |
- 514 = -4*k. Let q(b) = -2*b - 3. Give o*y(t) - 7*q(t).
2*t + 3
Let w(s) = 2*s**3 + 22*s**2 + 20*s + 20. Let m(z) = z**3 + 7*z**2 + 7*z + 7. Suppose 5*t + 4*a = 21, -2*a = -12*t + 14*t - 8. Calculate t*w(p) - 14*m(p).
-4*p**3 + 12*p**2 + 2*p + 2
Let g(c) = -3*c**2 + 2. Let o(s) = 13*s**2 - s - 8. Let y(k) = k**2 + 6*... | {
"pile_set_name": "DM Mathematics"
} |
= -4*a**3 - 4*a**2 - 6*a - 2. Give -n(y) + 6*s(y).
-2*y**3 - 2*y**2 + 2
Let c(z) = 17*z. Let o(k) = -459*k. Calculate 136*c(a) + 5*o(a).
17*a
Let p(u) = 18*u - 10*u + 1 - 7*u. Let v(d) = 2*d**2 - 2*d - 1. Give -2*p(m) - v(m).
-2*m**2 - 1
Let v(p) = p. Let k(y) = -4*y - 1. Suppose 9 = -5*g - 6. Let s = -1 - g. Calculat... | {
"pile_set_name": "DM Mathematics"
} |
3132 = -166*d + 2844. Let u(p) = p**2 - 39*p + 93. Calculate u(d).
-15
Let v be (127/(-127))/((-4)/(-14))*24/42. Let q(a) = a**2 - 4*a + 3. Let k be q(4). Let p(m) = m**3 - 3*m**k + 1 - 3*m**2 + m**3. Determine p(v).
-3
Let l(b) = -b**2 + 11. Suppose -4*j - 2*o = -0*j - 8, 16 = -3*j + 4*o. Suppose 6*d + 6 = j, -2*p = 3... | {
"pile_set_name": "DM Mathematics"
} |
e q.
17
Express (-60*j - 1 - 7 + 53*j)*(-12*j + 13 - 13)*(2 + 0 + 1)*(-1 - 3 + 3) as p + g*j**2 + h*j and give h.
-288
Express (-376*z**3 + 8884 - 268*z**3 - 8882)*(-z + 0*z + 3*z) - 5*z**4 + z**4 + z**4 in the form f*z**4 + t*z**3 + x + v*z + s*z**2 and give f.
-1291
Rearrange -261541*f**2 + 6 + 261544*f**2 + 1 + 0*f*... | {
"pile_set_name": "DM Mathematics"
} |
)/j)*j))/(j**12*j**13))**(-5/2))**(2/57) assuming j is positive.
j**(4075/1083)
Simplify ((u/u**(7/4)*u)/u**4)/(u*u**0)**48*u**(-1)/(u*u**1)*(u**(-6/5)*u*u)/(u/(u*u**(1/2))*u) assuming u is positive.
u**(-1089/20)
Simplify (k*(k*k**(7/5))/k*k**(1/5))/(k**(-2))**(-9/8)*k**(3/2)*k*k**(-4)*k*k**8/(k**(2/5)/k) assuming k i... | {
"pile_set_name": "DM Mathematics"
} |
10)
Simplify (v/((v**(-4)*v)/v*v))/(v/v**(10/9)) assuming v is positive.
v**(37/9)
Simplify l**15/l**(11/3) assuming l is positive.
l**(34/3)
Simplify (x/(x/(x**(3/8)*x))*x)/(x**4/x)*(x**1)**(2/49) assuming x is positive.
x**(-229/392)
Simplify (y*y**(-1))**(-48)*y**(4/3)*y**(1/3)*y assuming y is positive.
y**(8/3)
Sim... | {
"pile_set_name": "DM Mathematics"
} |
4*x + 6*x to the form n*x**2 + j*x**3 + h + t*x and give n.
0
Rearrange (s**2 + 3*s**2 - 2*s**2)*(-s - 65 - s + 68) to the form p + r*s + q*s**2 + v*s**3 and give v.
-4
Rearrange -25*l + 25*l - l**2 + 0 + 2 + 0 - l**2 + (5*l + 0*l - 3*l)*(2*l - 3*l + 0*l) + l**2 - l**2 - 2*l**2 to the form x*l + k*l**2 + n and give k.... | {
"pile_set_name": "DM Mathematics"
} |
59*c + 2767*c - 11093*c.
-41*c
Collect the terms in -2*l + 8747001*l**2 - 663*l**3 - 4373502*l**2 - 4373499*l**2.
-663*l**3 - 2*l
Collect the terms in 139761 + 11*s + 139746 + 139766 - 419273.
11*s
Collect the terms in 11*u - 12*u + 5*u + 3*u - 18 - 4*u**2 + 14.
-4*u**2 + 7*u - 4
Collect the terms in -4970028*p**3 - 49... | {
"pile_set_name": "DM Mathematics"
} |
0*o - 2*o + (2*o - 2*o - o)*(-1 - 5 - 4))*(-1 - 2*o**3 + 1).
-18*o**4
Expand (-4*f + 0*f + f + (-2 - 4 + 4)*(1 - 1 + 2*f))*(0 - 3*f + 0).
21*f**2
Expand (-2 + 3 + 12)*(0 - 3 + 1)*(-6*w**3 + 5*w**3 - w**3).
52*w**3
Expand (5*r - 4*r - 2*r)*(-4*r + 0*r + 6*r) - 2*r + 2*r - r**2.
-3*r**2
Expand (-2*w + 2*w + 2*w**2)*(2*w ... | {
"pile_set_name": "DM Mathematics"
} |
. Let y = 31 - 28. Is (d/3)/(-1)*y prime?
False
Let f(u) = 3*u**2 + 3*u - 17 + 41 + u - 21. Let k(j) = -j**3 + 6*j**2 - 2*j + 4. Let b be k(6). Is f(b) prime?
True
Let k(a) = -160*a**3 + 2*a**2 - a - 2. Is k(-1) prime?
False
Let o(v) = v + 12. Let n be -1*(-2 - 0) + 7. Suppose -b + 0*b = -n. Is o(b) a composite number?... | {
"pile_set_name": "DM Mathematics"
} |
15/(-30) - g/4. Factor -2*c + 3*c - 16*c + 5*c**3 - y.
5*(c - 2)*(c + 1)**2
Solve -43/5*n**3 + 0*n + 44/5*n**2 - 1/5*n**4 + 0 = 0.
-44, 0, 1
Let p = -635353/3 - -211786. Let 2/3*q**2 + 0 - p*q = 0. What is q?
0, 5/2
Let o(t) be the first derivative of -4*t**3/15 - 132*t**2/5 + 268*t/5 - 361. Determine w, given that o(w... | {
"pile_set_name": "DM Mathematics"
} |
1 + 20750*o.
-87*o
Collect the terms in 14448*k**3 - 28974*k**3 + 14501*k**3.
-25*k**3
Collect the terms in -476*a + 1069*a + 1302*a - 257*a.
1638*a
Collect the terms in -66*p**2 - 178*p**2 - 28*p**3 + 18*p**3 - 64*p**2 - 67*p**2 + 375*p**2.
-10*p**3
Collect the terms in -4587862*s**3 + 9176236*s**3 - 4588016*s**3.
35... | {
"pile_set_name": "DM Mathematics"
} |
**4 - 4*i**4 - i**4 + i**2 + 34*i**4 + 4*i**4 - i**4 to m*i**2 + p*i**3 + o*i**4 + c*i + l and give c.
0
Rearrange -984*h**4 + h**3 - 19*h**3 - h + h**2 + 0*h**2 + 1017*h**4 to t + j*h + o*h**3 + s*h**4 + n*h**2 and give o.
-18
Rearrange -3 + 500*f**3 + 6 - 415*f**3 + f**2 to s + g*f**2 + x*f**3 + i*f and give g.
1
Rea... | {
"pile_set_name": "DM Mathematics"
} |
3*o + f*o**4 wrt o.
12*o**2
Let g = -10 - -14. Differentiate -3 - 12*l**4 + 9*l**g + 4*l**4 wrt l.
4*l**3
Let r(y) = 4*y + 5. Let k be r(-5). Let c be ((-12)/k)/((-6)/(-15)). Find the second derivative of -5*f**3 - 3*f + 3*f + c*f + 3*f**3 wrt f.
-12*f
Let o(a) = 11*a**2 - 11. Let i(c) = 21*c**2 - 23. Let s(r) = -3*i(r... | {
"pile_set_name": "DM Mathematics"
} |
i - 6*i + 3*i as d*i + j and give d.
11
Express (-m**3 - 4*m**3 + 3*m**3)*(m - 3*m + m)*(5 - 37 + 2 + (-3 - 3 + 4)*(-2 + 3 - 3)) as t*m + f*m**2 + l*m**4 + z + h*m**3 and give l.
-52
Rearrange 3 - 1 - 9*x - 2 to the form z + w*x and give w.
-9
Express (-k + 4*k - k)*(3*k - k - k) - k + 49 - 25 - 27*k**2 - 25 as o + p*k... | {
"pile_set_name": "DM Mathematics"
} |
(833)) + 3 - ((sqrt(833) + 1)*-6 + sqrt(833) - sqrt(833))) + ((sqrt(833) + 0)*-6 - sqrt(833) - (-1 + sqrt(833))*3) + 5)**2.
-952*sqrt(17) + 13617
Simplify sqrt(7)*3*1 + (sqrt(7) + 1)*-3 + (-5*(sqrt(448) + (sqrt(448)*-1 - sqrt(448))) - sqrt(448))**2 + 2.
7167
Simplify ((sqrt(704) + 3)*-3 + (sqrt(1584) - (sqrt(1584) - (s... | {
"pile_set_name": "DM Mathematics"
} |
817
What is the derivative of 446 - 905*w - 398*w + 1736*w wrt w?
433
Find the second derivative of -86*d**4 + 62*d - 48*d**4 - 116*d + 2 wrt d.
-1608*d**2
Let n(c) = c**2 - 13*c - 27. Let g be n(16). What is the third derivative of -g*b**2 + 995 - 26*b**4 - 995 wrt b?
-624*b
Let v(s) be the first derivative of 11*s**... | {
"pile_set_name": "DM Mathematics"
} |
-42*a**5 + 6*a**4
Expand (8 - 1 + 2)*((-2*y + 5*y - y)*(-3 + 2 + 2) - 3*y - 1 + 1)*(-51 - 95 - 11).
1413*y
Expand 0*a**2 - 2*a**2 + 0*a**2 + (-8224 + 8224 + 98*a)*(192 + 7*a - 192).
684*a**2
Expand -c**4 - 3*c**4 + 5*c**4 + (0*c**2 + c**2 + c**2)*(-26*c**2 - 22*c + 7*c + 17*c).
-51*c**4 + 4*c**3
Expand (-q**3 + 2*q**3... | {
"pile_set_name": "DM Mathematics"
} |
+ 4*c - 455 - c + 3*c**3.
3*c**3 + 3*c + 1120
Collect the terms in 86*n**2 + 285*n**3 - 86*n**2.
285*n**3
Collect the terms in -265*j**2 - 260*j**2 + 1041*j**2 - 248*j**2 - 265*j**2.
3*j**2
Collect the terms in 28 - 3*o**3 - 60 + 4*o**3 + 3*o**3.
4*o**3 - 32
Collect the terms in -1255 + 139*z**2 + 2501 - 1246 - 135*z**... | {
"pile_set_name": "DM Mathematics"
} |
(n/((n*n/(n/((n*n*((n/((n/(n*n**4/n))/n))/n)/n)/n*n)))/n)))/(n**29/n**(-6)) assuming n is positive.
n**(-377/12)
Simplify (a*a**2)**35*(a**4)**18 assuming a is positive.
a**177
Simplify ((((n/n**(-2))/n)/n)**(-14/11))**(3/26) assuming n is positive.
n**(-21/143)
Simplify (((v*v**(-1)*v)**(-2/129))**(2/87))**35 assuming... | {
"pile_set_name": "DM Mathematics"
} |
u*n**4 + g + t*n and give v.
2
Rearrange (1 + 3 - 1)*(-532 + 311 + 1339)*(h + 0 + 0) to the form s*h + m and give s.
3354
Rearrange 5*n**3 - n**4 + 0*n**2 - 4*n**3 + 432*n + 4*n**2 - 433*n to the form x*n**2 + k + r*n + z*n**4 + i*n**3 and give r.
-1
Express -9*f - 13*f - 19*f + 14*f**2 + f**3 - 16*f - 7 + 59*f as i*f... | {
"pile_set_name": "DM Mathematics"
} |
r + 235. What is g(75)?
10
Let q(b) = 6*b**3 - 95*b**2 - 14*b - 43. Determine q(16).
-11
Let d(j) = -8*j**3 + 65*j**2 - 93*j - 37. Give d(6).
17
Let k(i) = 7*i - 29. Calculate k(21).
118
Let h(b) = b**3 - 7*b**2 + 10*b - 19. What is h(7)?
51
Let x(w) = 13*w**2 + 4*w + 3. Calculate x(-3).
108
Let k(m) = -57*m**2 + 22*m ... | {
"pile_set_name": "DM Mathematics"
} |
2.
-1439*l**2
Collect the terms in -74*d - 21*d - 95*d - 43*d.
-233*d
Collect the terms in 4*u**2 - u**2 + 74 - 1102.
3*u**2 - 1028
Collect the terms in -1493 + 2983 - 1495 - 7*y.
-7*y - 5
Collect the terms in -64 - 9 + 6*n**3 - 22*n**3.
-16*n**3 - 73
Collect the terms in 493*a**3 + 489*a**3 + 495*a**3 - 1972*a**3 + 50... | {
"pile_set_name": "DM Mathematics"
} |
l**2
Let k(i) = -72*i**2 + i - 1. Let y(d) = -d**2 - d - 1. Determine k(q) + y(q).
-73*q**2 - 2
Let r(s) = 6*s**3 + 3*s**2 - s - 1. Let u be r(1). Let i(w) = 9*w - 5. Let f(j) = 4*j - 2. Determine u*f(z) - 3*i(z).
z + 1
Let m(h) = -12*h**2 + 3 - 9*h**2 - 9*h**2 - 6*h**3 + 34*h**2. Let g(i) = 17*i**3 - 11*i**2 - 8. Give... | {
"pile_set_name": "DM Mathematics"
} |
Let y be h(6). What is the second derivative of -2*p - 2*p**2 - p + 11 + 8*p + y*p - 4*p wrt p?
-4
Let k(x) be the first derivative of -646*x**7/7 + x**3/3 - 56*x**2 - 1012. Find the third derivative of k(a) wrt a.
-77520*a**3
Let c(i) be the second derivative of 146*i**2 + 0*i**5 - 1/10*i**6 + 0*i**3 + 55*i + 2 + 5/4... | {
"pile_set_name": "DM Mathematics"
} |
) = 3*t**2 + 602*t. What is 2*d(k) + 9*h(k)?
3*k**2 + 610*k
Let w(u) = -3*u + 62 + u**3 + 2*u - 65. Let m(q) = -1. Let o(g) = 4*m(g) - w(g). Let h(z) = 14*z**3 - 21*z + 21. What is -h(j) - 21*o(j)?
7*j**3
Let i(y) = 7*y + 3. Suppose -1 = -4*h + h - x, 15 = 3*h + 3*x. Let u(n) = -6*n - 3. Determine h*i(s) - 3*u(s).
4*s ... | {
"pile_set_name": "DM Mathematics"
} |
3584461 wrt d?
61452336*d**2
Differentiate -400767*a**2 - 6*a + 502957122.
-801534*a - 6
What is the second derivative of 429164173*f**5 + 8168492*f?
8583283460*f**3
Find the second derivative of 4953*k**3*l + 4623*k**2*l - k**2 - 13*k*l + 23292423*k wrt k.
29718*k*l + 9246*l - 2
Find the first derivative of 79921883*... | {
"pile_set_name": "DM Mathematics"
} |
*t - 2
Let t(q) = -q + 364. Let k(s) = -s + 362. Determine 3*k(d) - 2*t(d).
-d + 358
Let w(s) be the third derivative of -3*s**5/20 - s**4/8 - 5*s**3/6 - 2*s**2 + 56*s + 6. Let v(f) = -4*f**2 - f - 3. Calculate 5*v(p) - 2*w(p).
-2*p**2 + p - 5
Suppose 2*p + 15*f + 10 = 10*f, 7*f = -5*p - 3. Let j(x) = 4*x**3 + 13*x + 2... | {
"pile_set_name": "DM Mathematics"
} |
2 - 13) to m*d + y and give m.
98
Rearrange 2*o**3 + 11*o**3 + 60*o**2 - 60*o**2 - 6 - 6*o**3 to the form y*o**3 + k*o + l + w*o**2 and give y.
7
Rearrange -2*z**2 + 106*z**3 + 5*z - 5*z - 66*z**3 to the form l + y*z + q*z**2 + w*z**3 and give q.
-2
Express 1 - 29*n**2 + 17*n**2 - 7*n + 11*n**2 in the form r*n + z*n**2... | {
"pile_set_name": "DM Mathematics"
} |
f(r) - z(r).
2*r**2 - 20*r - 1
Suppose -5*h = -a + 14 + 1, -2*a + 5*h + 10 = 0. Let j(q) = -q**3 - 8*q**2 - 2*q + 6. Let w(p) = -p**3 - 7*p**2 - 2*p + 5. Determine a*j(b) + 6*w(b).
-b**3 - 2*b**2 - 2*b
Let x(i) = i**3 - i + 1. Let l(b) be the first derivative of 9*b**2/2 + 95*b + 41. Let p be l(-11). Let j(z) = 5*z**3 ... | {
"pile_set_name": "DM Mathematics"
} |
3. Let k(f) = 16*l(f) + 3*z(f). What is k(s(d))?
-8*d**4
Let w(q) be the third derivative of q**5/60 - 11*q**2. Let a(x) = -12*x. Let m(n) = 25*n. Let v(u) = 13*a(u) + 6*m(u). What is w(v(s))?
36*s**2
Suppose -3 = -3*y + 15. Let o(d) = -d - d + y*d. Let i(w) = 2*w**2. Calculate o(i(g)).
8*g**2
Let m(c) = 5*c. Let h = ... | {
"pile_set_name": "DM Mathematics"
} |
irst derivative of -2*p**2 - a*p**4 + 2*p**2 - 5 + 196*p**4 wrt p.
-36*p**3
Suppose -3*z = -51 - 6. Suppose z = w + 5*m, m + 0*m - 7 = -w. What is the second derivative of 6*c**4 + 5*c**5 + c - 6*c**w wrt c?
100*c**3
Let j(u) = -20*u**4 - 8*u**3 - 6*u - 1. Let v(r) = -39*r**4 - 15*r**3 - 12*r - 1. Let s(h) = 11*j(h) - ... | {
"pile_set_name": "DM Mathematics"
} |
third derivative of 8*r**2 - 132*r**4 - w*r**4 + 266*r**4 + 49*r**5 - 2*r wrt r?
2940*r**2
What is the third derivative of -1101*j + 1379*j**4 + 2212*j - 1075*j - 70*j**2 wrt j?
33096*j
Let g(d) be the second derivative of 299*d**6/6 + 3745*d**2/2 + 2091*d. What is the derivative of g(i) wrt i?
5980*i**3
Let l(a) = -67... | {
"pile_set_name": "DM Mathematics"
} |
2 wrt v.
1584*y**2
Differentiate 6*n**3*w**2 - 863*n**3 - 86*n*w**3 wrt w.
12*n**3*w - 258*n*w**2
What is the third derivative of 1416*a**4 + 539*a**2 wrt a?
33984*a
Find the third derivative of 27*j**3*n**3 + 2*j**3*n**2 + 12*j**2*n**3 + 1469*j**2*n**2 wrt n.
162*j**3 + 72*j**2
Find the third derivative of 23*a**5*y*... | {
"pile_set_name": "DM Mathematics"
} |
- 5
What is the p'th term of -10, -21, -46, -91, -162, -265, -406?
-p**3 - p**2 - p - 7
What is the s'th term of -102, -124, -136, -132, -106, -52, 36, 164?
s**3 - s**2 - 26*s - 76
What is the o'th term of 46, 85, 124?
39*o + 7
What is the i'th term of 187, 376, 565, 754, 943, 1132?
189*i - 2
What is the l'th term of -... | {
"pile_set_name": "DM Mathematics"
} |
) + 3*i(v). Factor k(a).
3*(a + 1)*(a + 8)
Let w = -3344185/11 + 304017. Solve w*m**2 - 10/11*m + 8/11 = 0 for m.
1, 4
Suppose 5*o + q + 178 - 64 = 0, 88 = -4*o - 4*q. Let l be 32 + o + 2*-3. Suppose 10/9*k**4 - 8/9 - 2/9*k**5 - 2/9*k**2 - 14/9*k**l + 16/9*k = 0. What is k?
-1, 1, 2
Let i(r) be the second derivative of... | {
"pile_set_name": "DM Mathematics"
} |
. Let v(m) be the third derivative of m**4/6 - 25*m**2. Determine s(v(j)).
-160*j**2
Let k(d) = -4*d**2. Let p(y) = -3*y**2. Let t(u) = -6*k(u) + 7*p(u). Let l(q) = 7*q. What is t(l(j))?
147*j**2
Let y(c) = c. Let r(h) = 12*h. Let d(v) = -2*r(v) + 27*y(v). Let m(u) = -3*u**2. Calculate d(m(o)).
-9*o**2
Let l(w) be the ... | {
"pile_set_name": "DM Mathematics"
} |
) + 7*q(f).
-f
Let n(t) = -1. Let c(l) = -2*l + 17. Give -c(r) - 4*n(r).
2*r - 13
Suppose -4*b + 17 = 2*p - 3, -3*b - 3*p = -12. Let w(k) = 8*k**2 + 1 + b + 8*k + 5. Let r(d) = d**2 - 3*d + 1 + 4*d + 0. What is 10*r(t) - w(t)?
2*t**2 + 2*t - 2
Suppose -5*p + 0*p = 5. Let f(d) = -3*d**2 + 0*d**3 + 3 + 4*d - d + 4*d**3. ... | {
"pile_set_name": "DM Mathematics"
} |
/2*o**2 + 873/2*o - 1269/2 = 0.
3, 47
Let f(c) be the second derivative of c**6/120 + 11*c**5/2 + 16133*c**4/16 - 55*c**3/3 - 6050*c**2 - 389*c - 3. Factor f(q).
(q - 1)*(q + 1)*(q + 220)**2/4
Let r = -27723/4 + 6932. Let b(z) be the first derivative of -r*z**2 + 2*z + 27 - 1/4*z**3. What is y in b(y) = 0?
-4, 2/3
Let ... | {
"pile_set_name": "DM Mathematics"
} |
4*x - 50. Determine q(7).
-78
Let t(a) = -18*a - 187. What is t(-14)?
65
Let g(b) = -b**2 - 2472*b - 9852. Determine g(-4).
20
Let u(o) = 2*o**3 + 368*o**2 - 2285*o + 27. Determine u(6).
-3
Let y(m) = -55*m**2 + 313*m + 110. Calculate y(6).
8
Let p(d) = 3*d**3 + 37*d**2 - 30*d - 30. Calculate p(-13).
22
Let t(m) = 49*m... | {
"pile_set_name": "DM Mathematics"
} |
the third derivative of 13735317*b**4 - 24*b**2 + 67*b - 42 wrt b.
329647608*b
Find the second derivative of 10107546*n**2 + 22*n + 56009 wrt n.
20215092
What is the first derivative of -26195141*l**2 + 1611248 wrt l?
-52390282*l
What is the derivative of 1459*b**4*z - b**4 + 40515*b*z - 16881612*z - 2 wrt b?
5836*b**... | {
"pile_set_name": "DM Mathematics"
} |
2 assuming l is positive.
l**(-1568/15)
Simplify (u/(u*u**(-1/2)*u)*u)**(-10/11)*u**13*u**(-5)/u assuming u is positive.
u**(72/11)
Simplify (u/(u/(u/u**(2/7))))**29*u/(u*u**(-4)*u)*(u*u**(9/4)*u)/u assuming u is positive.
u**(755/28)
Simplify (o**(1/19)/(o*o**(-4/5)))/(o**0/((o/o**17)/o)) assuming o is positive.
o**(-... | {
"pile_set_name": "DM Mathematics"
} |
of 3*k**4/2 - 2*k - 3. Differentiate q(n) with respect to n.
18*n**2
Suppose 3 = 3*h - 3*z, -z - 11 = -4*h - 4*z. Find the second derivative of -5*v + h*v + 4*v - 2*v**3 wrt v.
-12*v
What is the third derivative of -7*l**3 - l**2 + 14*l**2 + 7*l**3 - 17*l**4 wrt l?
-408*l
Let m(a) = -7*a + 22. Let d(y) = -4*y + 11. Let... | {
"pile_set_name": "DM Mathematics"
} |
+ l + w*c and give r.
-251
Express 1571*n - 523*n - 519*n - 526*n + 212 as o + r*n and give o.
212
Rearrange 7*r**3 + 4 - 106*r - 2 - r**3 - r**3 to the form x*r**3 + o*r**2 + b*r + a and give x.
5
Rearrange (4*w + w - 2*w)*(6262 + 4868 - 4969) to g*w + m and give g.
18483
Express -263 - 272 - 140*t + 506 as r*t + h a... | {
"pile_set_name": "DM Mathematics"
} |
- 165*m**2 - 39*m = 0. What is m?
-3/19
Factor 54/5*p**2 + 4/15*p**5 + 24*p**3 + 0 + 74/15*p**4 + 0*p.
2*p**2*(p + 9)**2*(2*p + 1)/15
Let h(c) be the second derivative of -c**5/40 - 7*c**4/36 - 17*c**3/36 - c**2/2 - 136*c. Factor h(t).
-(t + 1)*(t + 3)*(3*t + 2)/6
Let g be 4 + 0*3/6. Suppose 4*b**5 + 5*b**3 + g*b**2 -... | {
"pile_set_name": "DM Mathematics"
} |
o*h(c) + w*y(c).
c + 2
Let t(h) = h**3 - 3*h**2. Let g(f) be the first derivative of 0*f**2 + 0*f - 4/3*f**3 + 1/4*f**4 + 2. Give 3*g(q) - 4*t(q).
-q**3
Let y(h) = -5*h - 1. Let r(m) = 3*m + 3*m + 3*m + 1. Let g = 11 - 6. Give g*y(w) + 3*r(w).
2*w - 2
Let k(s) = 7*s + 4. Let j(m) = -15*m - 9. Let t(r) = 2*j(r) + 5*k(r)... | {
"pile_set_name": "DM Mathematics"
} |
) = -4*d**2 - 6*d - d**3 + 4*d**2 + 7*d**o - d**2. Give f(4).
8
Suppose 4*s - f = 3*s - 7, -s = -2*f + 10. Let t(b) = 2*b**2 + 2*b + 4. Let u(o) = -3*o**2 - o - 5. Let r(w) = s*t(w) - 3*u(w). What is r(4)?
-5
Let a(u) = -u**3 - 4*u**2 - 2*u. Suppose 4*y + 3*s - 5 = 1, 0 = 5*y - 4*s - 23. Let l be (-1*0/3)/(16 + -18). S... | {
"pile_set_name": "DM Mathematics"
} |
) - 2*h**2 + 7*h**5 + 2*h**2 + 2*h**2 - 2*h**5 - 2*h**2.
15*h**5
Expand (-u + 4 - 4)*(-3 + 0 + 1) - 11*u + 0 + 13*u - 2 + (-4 + 1 + 1)*(-2*u - 2 + 2).
8*u - 2
Expand -2*g**5 + g**3 - g**3 + 2*g**3 + g**5 - 2*g**3 + (-2*g + 7*g - 3*g)*(-1 + 1 - 2*g**4) + (288*g**2 - 288*g**2 + g**4)*(-1 + 1 - g).
-6*g**5
Expand (3 - 1 +... | {
"pile_set_name": "DM Mathematics"
} |
-4*k(s) + p(s).
-2*s**2 + s + 150
Let k(v) = 2*v**3 - 2*v**2 + 10*v. Let p(r) be the third derivative of r**6/30 - r**5/12 + 5*r**4/6 - 445*r**2. What is -5*k(o) + 2*p(o)?
-2*o**3 - 10*o
Suppose -x = 1, f - 11*x = -15*x - 2. Let v(r) = -r**3 - r + 1. Let s(l) = l - 1. Determine f*v(a) + 2*s(a).
-2*a**3
Let x(f) = f + 2... | {
"pile_set_name": "DM Mathematics"
} |
Find the third derivative of -74*m**5 + 878*m**4 - 9*m**3 - 10234*m**2 - 4210*m wrt m.
-4440*m**2 + 21072*m - 54
Find the third derivative of h**4 - 60351089*h**3 + 169*h**2 + 43201*h wrt h.
24*h - 362106534
What is the third derivative of 43512914*v**3 - 71744347*v**2?
261077484
What is the second derivative of -34606... | {
"pile_set_name": "DM Mathematics"
} |
82 + 80.
-12*f
Collect the terms in 8*f + 2*f + 38833*f**2 - 38830*f**2.
3*f**2 + 10*f
Collect the terms in -21172*u + 42348*u - 170*u**2 - 21176*u.
-170*u**2
Collect the terms in 6 - 6 - 993*v - 1.
-993*v - 1
Collect the terms in -185*t - 21*t**2 - t**3 + 96*t - 28*t**2 + 89*t.
-t**3 - 49*t**2
Collect the terms in 24... | {
"pile_set_name": "DM Mathematics"
} |
(4*(-4)/8)/2. Let d = 3/2 + p. Factor -2*o**2 + 3*o**3 - 2*o**4 + d*o + 1/2*o**5 + 0.
o*(o - 1)**4/2
Let m = 20 - 18. Suppose 5*a - 5*j = -10, -3*j - m + 8 = 5*a. Factor a + 4/5*i**3 + 2/5*i**2 + 0*i + 2/5*i**4.
2*i**2*(i + 1)**2/5
Find a, given that 5*a + 10/3 + 5/3*a**2 = 0.
-2, -1
Find n, given that -4/17*n + 6/17*... | {
"pile_set_name": "DM Mathematics"
} |
+ 4. Let z(d) = -7 + 6*d**3 + d**3 - 9*d + 2*d**3. What is p*z(m) - 7*v(m)?
-m**3 + m
Let p(h) = -6*h**2. Let o(a) = -a**2. Calculate -36*o(t) + 4*p(t).
12*t**2
Suppose -4*w + 19 = 3. Let l(s) = -2*s**3 + 2*s**2 - 3*s - 3. Let d(h) = 2*h**3 - 3*h**2 + 4*h + 4. Calculate w*l(b) + 3*d(b).
-2*b**3 - b**2
Let v(t) = t - 1 ... | {
"pile_set_name": "DM Mathematics"
} |
) = 7*x**3 - 11*x**2 - 17*x - 5. Determine 5*b(h) - 3*d(h).
-h**3 + 3*h**2 + 6*h
Let r(g) = -5*g**2 + g - 5. Let z(f) = -9*f**2 + 123*f - 12. Calculate 2*r(s) - z(s).
-s**2 - 121*s + 2
Let w(u) = 379*u**2 - 10*u - 28. Let r(v) = 126*v**2 - 4*v - 10. What is -8*r(z) + 3*w(z)?
129*z**2 + 2*z - 4
Let f = 478 + -474. Let m... | {
"pile_set_name": "DM Mathematics"
} |
3*(w - 1)**2*(w + 3)
What is d in 4/5*d**2 - 12*d - 64/5 = 0?
-1, 16
Let t be 4*-1*4*(-45)/432. Find a such that -1/3*a**5 + 2*a**2 + 0*a + t*a**3 + 0 - 2/3*a**4 = 0.
-3, -1, 0, 2
Suppose -5*k + 2*u + 48 = 0, 0 = 3*k - 2*u - u - 27. Factor -3*y**3 - 2*y**3 + k*y**3 + 4*y - 9*y**3.
-4*y*(y - 1)*(y + 1)
Let d(z) be the ... | {
"pile_set_name": "DM Mathematics"
} |
rm of -39, -44, -61, -96, -155, -244?
-j**3 + 2*j - 40
What is the l'th term of 14, 4, 8, 32, 82, 164, 284?
l**3 + l**2 - 20*l + 32
What is the k'th term of 15, 18, 9, -18, -69, -150, -267?
-k**3 + 10*k + 6
What is the y'th term of 9, -1, -15, -33, -55?
-2*y**2 - 4*y + 15
What is the a'th term of -999, -1000, -1003, -1... | {
"pile_set_name": "DM Mathematics"
} |
170))/sqrt(10) - sqrt(17)) + sqrt(68) + -1 + sqrt(17) + 4 + -1)**2.
16*sqrt(17) + 275
Simplify 3*(sqrt(243) - sqrt(243)*1 - (sqrt(27) + -3) - (sqrt(96)*-1)/sqrt(8))**2 + 4.
-18*sqrt(3) + 40
Simplify 2*3*(((-3 + (sqrt(1008) - (-1 + sqrt(1008))))**2 - sqrt(1008) - sqrt(1008))*2 + 0 + 5)*2.
-576*sqrt(7) + 156
Simplify 6*(... | {
"pile_set_name": "DM Mathematics"
} |
m**3 + 18175*m**2 - 83695*m + 10830 = 0. Calculate m.
-19, 2/15, 3
Factor j**4 + 181*j**3 + 9699*j**2 + 158219*j - 168100.
(j - 1)*(j + 41)**2*(j + 100)
Determine i, given that 2*i**4 + 258*i**3 - 2654*i**2 - 23610*i - 20700 = 0.
-138, -5, -1, 15
Factor -2*a**3 - 170*a**2 - 1246*a - 1078.
-2*(a + 1)*(a + 7)*(a + 77)
De... | {
"pile_set_name": "DM Mathematics"
} |
ate -13 + 36*j**q + 30*j**4 - 45*j**4 wrt j.
84*j**3
What is the third derivative of 503*q**2 - 8*q**4 + 17551*q**3 - q**4 + 9*q**5 - 17551*q**3 wrt q?
540*q**2 - 216*q
Let m(a) = -a**3 - 2*a**2 - 2. Let d be m(-3). Suppose 2*o + 10 = d*o. Find the second derivative of 7*p**2 - 5*p - 12*p**o + p wrt p.
-10
Let y(o) = 9... | {
"pile_set_name": "DM Mathematics"
} |
= 3*i**2 + 13*i - 10. Let z(d) = -4*u(d) - 7*y(d). Calculate z(8).
-2
Let r = -11 + 18. Let v(d) = -9*d**3 + 3 - 8*d + 11*d**3 - 6*d**2 - d**3. What is v(r)?
-4
Let r(z) = 3*z + 1. Let k be (-8)/(-100) - (-992)/100. Determine r(k).
31
Let d(n) = -n**2 - 5*n + 12. Let u be d(-6). Let r(k) = k - 7. Let i be r(u). Let s(... | {
"pile_set_name": "DM Mathematics"
} |
31*y**2 - 97 - 73*y**2 as t*y**3 + g + n*y + f*y**2 and give t.
19
Express (-3 + 1 + 4)*(0*p - 2*p + 3*p) - 1 + 1 + 2*p + (27*p - 11*p + 16*p)*(-21 + 34 - 26) in the form a*p + u and give a.
-412
Rearrange 879*f**3 + 4948 + 4*f - 2488 - 2460 to p + c*f**2 + t*f**3 + q*f and give q.
4
Rearrange (-z**2 - 3*z + 3*z)*(1 -... | {
"pile_set_name": "DM Mathematics"
} |
= 2*c**2. Let h(q) be the first derivative of -97*q**3 + 2080. What is v(h(t))?
169362*t**4
Let u(p) = -241684*p + 3. Let w(j) = -2*j. Determine u(w(l)).
483368*l + 3
Let p(k) = -5*k**2. Let v(l) = -10471582*l + 1. Calculate v(p(u)).
52357910*u**2 + 1
Let l(h) = 9 + 15 - 2*h - 42 + 18. Let a(q) = -445*q. Give l(a(v)).
... | {
"pile_set_name": "DM Mathematics"
} |
Rearrange (-h**3 - h**3 + 4*h**3)*(-4 - 6 - 7 + 27) to k*h**2 + o*h**3 + y + s*h and give k.
0
Express -3*l + 4*l**4 + l**3 - 2 - 2*l + 3*l + 1 as y*l**4 + m + t*l**3 + p*l + r*l**2 and give y.
4
Rearrange -18*f**2 + 2*f**2 - 8 + 6*f**2 + 9*f**2 to m*f**2 + b + o*f and give m.
-1
Rearrange 0*d**2 + 1 - 22*d**2 - 9*d**2... | {
"pile_set_name": "DM Mathematics"
} |
ative of 11 + k*s - 3*s**2 - 2*s - 5. What is v(n(m))?
-108*m**2
Let f(x) = 22*x. Let h(m) = m - 1. Let q(g) = 7*g - 8. Let u(v) = -40*h(v) + 5*q(v). Calculate f(u(c)).
-110*c
Let d(a) = 6*a**2 + 4*a + 1. Let i(l) be the second derivative of l**3/6 - 2142*l. Determine i(d(s)).
6*s**2 + 4*s + 1
Let k be 2*(-11)/((-154)/... | {
"pile_set_name": "DM Mathematics"
} |
116. Let i be l(29). Suppose 0*k + 0 - 2/5*k**4 + 4/5*k**3 + i*k**2 = 0. Calculate k.
0, 2
Let y = 1578/7 - 4717/21. Let t = 8/7 - y. Find u such that -4/3 - t*u**2 - 4/3*u = 0.
-2
Let g(w) be the third derivative of -w**5/15 + 7*w**2. Factor g(y).
-4*y**2
Let g = 18/503 - 5416/123235. Let w = 20/49 + g. Find h such t... | {
"pile_set_name": "DM Mathematics"
} |
ect the terms in -1233*o - o**2 - 3*o**2 + 615*o + 620*o.
-4*o**2 + 2*o
Collect the terms in u**3 - 44934891*u**2 + 44934891*u**2.
u**3
Collect the terms in -51*y**3 - y**3 + 182*y - 182*y + 2*y**3.
-50*y**3
Collect the terms in 118*i**3 + 1445 - 1445.
118*i**3
Collect the terms in 1 + 5467167238*s - 1 - 5467167240*s.
... | {
"pile_set_name": "DM Mathematics"
} |
472.
(s - 92)*(s - 4)**2
Factor 4*n**4 + 236*n**3 + 232*n**2.
4*n**2*(n + 1)*(n + 58)
Factor 10*v**2 + 154*v/3 + 20/3.
2*(v + 5)*(15*v + 2)/3
Factor -s**5 + 12*s**4 + 43*s**3 + 30*s**2.
-s**2*(s - 15)*(s + 1)*(s + 2)
Let 5*b**3 - 45*b**2 + 70*b = 0. Calculate b.
0, 2, 7
Solve -4*t**3/5 - 12*t**2 - 152*t/5 - 96/5 = 0.
-... | {
"pile_set_name": "DM Mathematics"
} |
2*u**2 + 3*l**2 - 9*l + 2*u**2 - u wrt l.
-24*l**2*u**2 - 2*u**2 + 6
What is the third derivative of -1832*b**2*o**3 - 16*b**2*o**2 + 2*o**2 + 2 wrt o?
-10992*b**2
What is the third derivative of s**3*y**4 + 2*s**3*y**2 + s**2*y**2 + 133*s**2 - 163*y**4 wrt y?
24*s**3*y - 3912*y
What is the second derivative of 2388*g*... | {
"pile_set_name": "DM Mathematics"
} |
. Determine s(q(n)).
1444*n**2
Let u(g) = 4*g. Let a(l) be the second derivative of -8*l + 2*l**3 - 2*l - 12*l + 8*l. Calculate u(a(o)).
48*o
Let p(m) = -2 + 6 + 25*m - 1 - 146*m. Let h(w) = -w**2. What is p(h(u))?
121*u**2 + 3
Let s(q) = -9*q. Suppose -11*d = v - 7*d - 8, v + 4 = 2*d. Let l(b) be the third derivative ... | {
"pile_set_name": "DM Mathematics"
} |
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