13248 + -95/576. What is a in -20/23*a - b - 2/23*a**2 = 0?
-8, -2
Factor -1/6*x**2 - 10 - 8/3*x.
-(x + 6)*(x + 10)/6
Let c(l) be the third derivative of -l**6/40 + 17*l**5/20 - 11*l**4/2 + 14*l**3 + 76*l**2 + 12*l. Let c(r) = 0. What is r?
1, 2, 14
Let m = -356 + 390. Let g = 34 - m. Factor -3*y**3 + 0*y + g - 3/2*y**4 + 0*y**2.
-3*y**3*(y + 2)/2
Let h(u) be the first derivative of u**4/4 - 1624*u**3/3 + 329672*u**2 - 4743. Factor h(x).
x*(x - 812)**2
Let p = 12 + -1. Factor -111*w - 92*w**2 + 32*w**3 - 162 - 13*w**4 - 177*w + p*w**4.
-2*(w - 9)**2*(w + 1)**2
Let r(q) be the third derivative of 27 + q**2 - 1/135*q**6 + 0*q**3 + 0*q + 0*q**4 + 4/945*q**7 + 1/270*q**5. Find a such that r(a) = 0.
0, 1/2
Let z(o) be the second derivative of -3*o**7/70 + 13*o**6/25 - 171*o**5/100 - 11*o**4/10 + 48*o**3/5 + 48*o**2/5 - 2*o - 250. Find r such that z(r) = 0.
-1, -1/3, 2, 4
Let x be (150/(-273) - 220/715)*7/(-45). Factor -4/5*a - x*a**3 + 0 - 2/3*a**2.
-2*a*(a + 2)*(a + 3)/15
Let h = 427185 - 427182. Factor 56 - 16*n - 230/7*n**2 - 50/7*n**h.
-2*(n - 1)*(5*n + 14)**2/7
Determine o so that -5/3*o**3 + 215/3*o + 260/3 - 50/3*o**2 = 0.
-13, -1, 4
Let f(w) be the first derivative of -5/4*w**4 - 4 - 7*w + 25/3*w**3 - 15/2*w**2. Let o(m) be the first derivative of f(m). Suppose o(y) = 0. What is y?
1/3, 3
Let t(d) be the third derivative of -d**6/420 - 11*d**5/105 + 29*d**4/84 + 46*d**3/7 + 1706*d**2. Factor t(j).
-2*(j - 3)*(j + 2)*(j + 23)/7
Factor -12*s**2 - 54/5*s**4 - 3/5*s**5 + 0 + 0*s + 117/5*s**3.
-3*s**2*(s - 1)**2*(s + 20)/5
Suppose 3*i + 107 + 33 = 4*d, 96 = 2*d + 5*i. Suppose 20*a - d = 2. Factor -16/7*r + 32/7 + 2/7*r**a.
2*(r - 4)**2/7
Let n = 2/322565 - 5821975699/2257955. Let u = n + 2583. Find h, given that 8/7*h**3 + 1/7*h**5 - u - 16/7*h**2 + 6/7*h**4 - 48/7*h = 0.
-2, 2
Let d(m) be the second derivative of 1/90*m**5 - 3 - 7/54*m**4 + 1/135*m**6 - 13/27*m**3 + 6*m - 2/3*m**2. Factor d(n).
2*(n - 3)*(n + 1)**2*(n + 2)/9
Let b(n) be the second derivative of n**4/4 - 124*n**3 + 741*n**2/2 - n - 346. Factor b(c).
3*(c - 247)*(c - 1)
Let i be (128/640)/((-12)/(-15)). Let j(l) be the first derivative of 26 + 1/6*l**3 + i*l**4 - 1/10*l**5 - 1/2*l**2 + 0*l. Factor j(u).
-u*(u - 2)*(u - 1)*(u + 1)/2
Suppose -4*f - 4*k = -148, 3*f + 2*k - 111 = 5*k. Let t = -31 + f. Factor t*z + 3*z - 3*z - z + 10*z**2 + 5*z**3.
5*z*(z + 1)**2
Determine k, given that -349*k - 364*k + 824 - 4*k**3 - 428*k + 212*k**2 + 212*k**2 - 103*k = 0.
1, 2, 103
Let s(k) be the first derivative of -k**4/4 + 8*k**3/3 + k**2/2 - 22*k - 31. Let y be s(7). Factor 46*h - 28*h - 4*h**3 - 16*h**2 - y*h.
-4*h*(h + 2)**2
Let f be (-7)/((-70)/(-20))*-10*1. Factor -8*p**2 + 8 - 4*p**3 + 6*p**4 + f*p - 10*p**4 + 20*p**2 + 0*p**2.
-4*(p - 2)*(p + 1)**3
Let j(k) be the second derivative of -k**4/24 + 559*k**3/6 - 312481*k**2/4 + 952*k. Factor j(c).
-(c - 559)**2/2
Let q(f) be the first derivative of f**9/216 - 11*f**8/210 + 5*f**7/28 - f**6/10 + 64*f**3 - 214. Let b(x) be the third derivative of q(x). Factor b(y).
2*y**2*(y - 3)**2*(7*y - 2)
Let q(c) = 2*c**3 + c**2 + 3*c. Let w(p) = 15*p**3 + 108*p**2 + 585*p + 456. Let x(t) = 9*q(t) - w(t). Factor x(s).
3*(s - 38)*(s + 1)*(s + 4)
Suppose -3*f = 19*f - 44. Let d be (-2)/16*-28 - f. Let 1/2*w**2 - w + d*w**3 + 0 = 0. What is w?
-1, 0, 2/3
Let a be 5 - ((-7)/(-84) - 7*15/(-36)). Find x, given that 16/5 + 12/5*x + 2/5*x**a = 0.
-4, -2
Suppose -w + 257 = 3*f - 160, -3 = -w. Let g = 138 - f. Solve g - 5/6*z**2 + 5/6*z = 0 for z.
0, 1
Solve 762489*u**3 - 762653*u**3 + 20900*u - 22954 + 2954 - 732*u**2 - 4*u**4 = 0.
-25, 1, 8
Suppose 59*f - 2624 = 51*f. Suppose 23*p = f - 259. Solve 6/11*l**p - 70/11*l**2 + 192/11*l + 72/11 = 0 for l.
-1/3, 6
Suppose 80 = 625*v - 620*v. Suppose 24 = -10*i + v*i. Suppose 0*w + 0 + 1/4*w**5 - 1/2*w**3 + 0*w**2 - 1/4*w**i = 0. What is w?
-1, 0, 2
Suppose 16*v**2 + 20*v**2 - 93*v**2 + 111*v + 3*v**3 - 57*v**2 = 0. Calculate v.
0, 1, 37
Let -8/3*o**2 - 4/3*o - 1/3*o**3 + 16 = 0. What is o?
-6, -4, 2
Solve 13/3*t**3 - 61/2*t**2 + 48*t + 1/6*t**4 + 0 = 0 for t.
-32, 0, 3
Let k(i) = -25*i**4 + 27*i**3 - 26*i**2 - 9*i + 18. Let g(l) = -6*l**4 + 7*l**3 - 6*l**2 - 2*l + 4. Let b = -728 + 710. Let f(a) = b*g(a) + 4*k(a). Factor f(m).
2*m**2*(m - 2)*(4*m - 1)
Let y(i) be the first derivative of i**3/2 - 177*i**2/4 + 405*i - 6377. Let y(t) = 0. Calculate t.
5, 54
Let r = -348628 - -348632. Factor 0*a - 6/11*a**r + 0 + 2/11*a**5 + 0*a**3 + 8/11*a**2.
2*a**2*(a - 2)**2*(a + 1)/11
Let x(v) = 2*v**2 - 28*v + 96. Let y be x(6). Let l(s) be the second derivative of 0 + 0*s**2 - 1/5*s**5 + 1/15*s**6 + 4*s + 1/6*s**4 + y*s**3. Factor l(z).
2*z**2*(z - 1)**2
Let y(t) be the third derivative of 0 - 9*t + 16/15*t**5 + 5*t**2 - 1/60*t**6 + 150*t**3 - 95/4*t**4. Factor y(o).
-2*(o - 15)**2*(o - 2)
Let r be (1*(-6 + -13))/(-1). Factor -1195*p + 1235*p - 13 + r*p**2 - 22*p**2.
-(p - 13)*(3*p - 1)
Suppose -954 = -13*o - 902. Let m(n) be the second derivative of 13*n + 0*n**2 + 0*n**3 - 1/30*n**o + 0. Determine p, given that m(p) = 0.
0
Determine z so that 295/3*z**2 - 1085/4*z + 147 - 10/3*z**4 + 1/12*z**5 + 175/6*z**3 = 0.
-4, 1, 21
Let t be ((-36)/(-21))/(10/70). Suppose -19*u = t*u + 21*u. Solve 5/6*s + u - 5/6*s**2 = 0.
0, 1
Let j(t) = -4*t**2 - 12*t + 19. Let l = -152 + 145. Let i(p) = 9*p**2 + 25*p - 37. Let v(x) = l*j(x) - 3*i(x). Factor v(h).
(h - 2)*(h + 11)
Let a(q) be the second derivative of q**4/66 + 90*q**3/11 + 18225*q**2/11 + 238*q. Factor a(h).
2*(h + 135)**2/11
Let m = 231 + -150. Let d(n) = m*n - n**2 - 82*n + 0*n**2. Let w(t) = -2*t**2 - 4*t - 2. Let p(k) = 3*d(k) - w(k). Find v, given that p(v) = 0.
-1, 2
Let u = -96 - -82. Let c be (-202)/(-28) + (-4)/u. Factor c*d**2 + 9/2*d**3 + 0 + 3*d.
3*d*(d + 1)*(3*d + 2)/2
Let n = 18 - 13. Suppose -n*g - 5*i + 34 = -3*g, 4*i = 5*g - 19. Find d such that -192*d - g*d**3 - 8*d**3 + 11*d**3 + 256 + 48*d**2 = 0.
4
Let a(o) = -6*o**2 + 91*o + 20247. Let g be a(-51). Factor 0*z**2 - 80*z + 5/2*z**4 + 15*z**3 + g.
5*z*(z - 2)*(z + 4)**2/2
Let d(m) = 114*m - 69*m**2 + m**3 + 364*m - 46*m + 2*m**3. Let w(j) = -j**2. Let y(f) = -d(f) - 3*w(f). Factor y(g).
-3*g*(g - 12)**2
Suppose -17*w + 30 = -4. Let t(i) = -25*i**2 + 450*i - 414. Let z(r) = -5*r**2 + 90*r - 83. Let f(m) = w*t(m) - 11*z(m). Factor f(n).
5*(n - 17)*(n - 1)
Let h(i) = i**2 + 5*i - 29. Let u be h(4). Factor 6*x + 6*x - 19*x**2 - u*x**2 + 16 - 12*x**3 + 4*x**4 + 6*x**2.
4*(x - 4)*(x - 1)*(x + 1)**2
Let t(p) = -143*p**4 + 465*p**3 - 495*p**2 + 209*p - 18. Let a(d) = -143*d**4 + 467*d**3 - 494*d**2 + 208*d - 17. Let q(z) = 6*a(z) - 7*t(z). Factor q(b).
(b - 1)**3*(143*b - 24)
Let n(s) be the third derivative of -s**8/2240 + s**7/840 - 5*s**4/24 + 10*s**2 - 3*s. Let h(g) be the second derivative of n(g). Factor h(t).
-3*t**2*(t - 1)
Let l be 1958/(-445)*(-10)/(-4). Let k be 3/l - 86557/(-7777). Suppose -16/7 - 64/7*g - 4*g**4 - 4/7*g**5 - k*g**3 - 100/7*g**2 = 0. What is g?
-2, -1
Suppose 6*v - 22 + 4 = 0. Suppose 2*h + v*g - 7 - 4 = 0, 4*g = -h + 8. Factor 6*t - 2*t - h*t - t**2 - 2*t.
-t*(t + 2)
Suppose -65*o - 22 = -66*o + 4*f, -3*f - 11 = 2*o. Factor 2687 + v**o - 2*v**2 + 5*v**2 - 2787.
4*(v - 5)*(v + 5)
Let r(k) be the second derivative of k**7/12600 + k**6/3600 - k**4/12 + 7*k**3/6 + 80*k. Let a(o) be the third derivative of r(o). Factor a(g).
g*(g + 1)/5
Let n(p) = -7*p - 2. Let y be n(-3). Suppose 0 = 3*v + 5*f + 20, y*v = 16*v + 5*f + 20. Factor v + 0*z**4 + 0*z**2 + 0*z - 1/5*z**5 + 4/5*z**3.
-z**3*(z - 2)*(z + 2)/5
Let l(q) be the second derivative of q**4/4 + 9*q**3/2 + 27*q**2 - 15*q + 12. Find j such that l(j) = 0.
-6, -3
Let w(x) be the second derivative of -x**7/14 + x**6/6 + 397*x**5/20 - 1061*x**4/12 + 463*x**3/3 - 132*x**2 + 2*x + 639. What is v in w(v) = 0?
-12, 2/3, 1, 11
Suppose -13*n + 34 = 8. Determine c so that -36*c + 105*c**n - 20*c + 96 - 101*c**2 = 0.
2, 12
Factor -78382598144*p**2 - 105659742298112*p - 2/5*p**5 - 284858665235709952/5 - 5392*p**4 - 29073664*p**3.
-2*(p + 2696)**5/5
Suppose -24 = -m - 0*m + c, 0 = -4*m - 5*c + 132. Suppose -7*j = -56 - m. Suppose 15*w - j*w**2 + 5*w**3 - 10*w + 2*w**2 = 0. What is w?
0, 1
Factor 0 - 2/15*r**4 + 1274/15*r - 154/5*r**2 + 18/5*r**3.
-2*r*(r - 13)*(r -