*w + 1/100*w**5 + 125*w**2 + 0. Let p(f) = 0. What is f?
-34, 0
Let s(h) be the first derivative of 53*h**3/21 - 15*h**2/7 + 2954. Solve s(r) = 0.
0, 30/53
Suppose -3*s - 28 = -2*a + s, 2*a - 23 = 3*s. Suppose -7*v - a = -18. Factor 1072*y**2 - 1072*y**v + 2*y**4.
2*y**4
Let q(h) be the first derivative of -2*h**3/3 + 231*h**2 + 464*h + 512. Suppose q(n) = 0. Calculate n.
-1, 232
Solve 637 + 242*g - 265 - 2*g**2 - 16 - 112 = 0.
-1, 122
Let v(c) be the first derivative of c**6/35 + 19*c**5/70 + c**4 + 12*c**3/7 + 8*c**2/7 - 27*c - 111. Let u(r) be the first derivative of v(r). Factor u(z).
2*(z + 2)**3*(3*z + 1)/7
Let z(j) be the first derivative of 0*j + 26 + 3/5*j**5 + 0*j**4 + 3*j**2 - 3*j**3. Factor z(r).
3*r*(r - 1)**2*(r + 2)
Let a(j) be the first derivative of -j**4 - 44*j**3/3 - 78*j**2 - 180*j - 4889. Determine i so that a(i) = 0.
-5, -3
Let r = -131000/39 + 3359. Let u(t) be the second derivative of -1/13*t**2 + 1/65*t**6 + 1/65*t**5 - r*t**4 - 6*t + 1/273*t**7 - 1/13*t**3 + 0. Factor u(n).
2*(n - 1)*(n + 1)**4/13
Factor -12/5*n + 1/5*n**2 - 65.
(n - 25)*(n + 13)/5
Let 679*i**2 - 1320 - 2645*i + 77*i**4 + 631*i**2 - 67*i**4 + 2645*i**3 = 0. Calculate i.
-264, -1, -1/2, 1
Let w(z) = -136*z + 5851. Let n be w(43). Let x(f) be the first derivative of 12/13*f + 30 - 1/26*f**4 + 11/13*f**2 + 8/39*f**n. Suppose x(d) = 0. What is d?
-1, 6
Let u(w) be the second derivative of w**7/525 + 11*w**6/600 + w**5/25 - 3*w**4/40 + 36*w**2 - 73*w. Let r(n) be the first derivative of u(n). Factor r(y).
y*(y + 3)**2*(2*y - 1)/5
Let d(b) be the first derivative of 50*b**5/7 - 1475*b**4/14 - 180*b**3 - 772*b**2/7 - 208*b/7 + 560. Factor d(y).
2*(y - 13)*(5*y + 2)**3/7
Let y be (-3)/((-4)/((-8)/2)) - -13. Factor -3*p**2 + 3*p + 0 + y*p**2 - 2 - 8*p**2.
-(p - 2)*(p - 1)
Factor -44/7*b**2 - 102/7*b + 2/7*b**3 + 144/7.
2*(b - 24)*(b - 1)*(b + 3)/7
Let f(w) be the first derivative of -11/4*w**4 - 35/2*w**2 + 34/3*w**3 + 12*w - 51. Determine j so that f(j) = 0.
1, 12/11
Let p be ((-433)/(-7794))/(1/6). Factor -i**2 + 1/3*i**4 + 2/3 + 1/3*i - p*i**3.
(i - 2)*(i - 1)*(i + 1)**2/3
Suppose -3*x = 5*q + 14, -5*x + 32*q = 36*q + 6. Suppose 3*t - 2 - 1 = -p, -t - x*p = 4. Factor -2/7*g - 2/7*g**4 - 6/7*g**3 - 6/7*g**t + 0.
-2*g*(g + 1)**3/7
Let a(c) = 8*c - 161. Let x be a(27). What is n in 64*n - 7 + x*n**2 - 17 - 44 - 51*n**2 = 0?
-17, 1
Let m(j) be the first derivative of -2/5*j**5 + 0*j + 218 - 8*j**4 + 34/3*j**3 + 0*j**2. Find k, given that m(k) = 0.
-17, 0, 1
Let z(r) be the second derivative of -r**4/12 - 167*r**3/3 - 333*r**2/2 + 4217*r - 1. Let z(h) = 0. Calculate h.
-333, -1
Let o be ((-4320)/(-15120))/(0 + 2/14). Determine j, given that 2/3*j**o + 12*j + 54 = 0.
-9
Suppose 0 = 2*m + 452 + 1136. Let d = 794 + m. Let d*p - 28/3*p**4 + 12*p**3 + 0 - 8/3*p**2 = 0. Calculate p.
0, 2/7, 1
Let r(w) = 3*w**2 + 45*w - 55. Let i(x) = x**2 + 15*x - 18. Let j(b) = -2*b**2 - 4*b. Let o be j(-3). Let m(l) = o*r(l) + 21*i(l). Factor m(c).
3*(c - 1)*(c + 16)
Let v(o) be the third derivative of -o**8/1008 - o**7/70 + 17*o**6/180 - 2*o**5/15 - 24*o**2 + 9. Determine l so that v(l) = 0.
-12, 0, 1, 2
Let u be 0 + 1 + 5 + 9 + -13. Factor 70*q**3 + 43*q**2 - 74*q**3 + 52*q + 24 - 15*q**u - 4*q**4.
-4*(q - 3)*(q + 1)**2*(q + 2)
Solve 251 + 392*k - 43*k**3 - 148*k**2 + 47*k**3 + 293 = 0.
-1, 4, 34
Suppose -1 = 9*v - 22*v + 51. Let g(x) be the first derivative of 0*x**2 + 0*x + 2/5*x**3 + 0*x**5 + 1/10*x**6 + 3 - 9/20*x**v. Factor g(n).
3*n**2*(n - 1)**2*(n + 2)/5
Let d be 109/(118265/(-70)) - (1 - (-630)/(-155)). Factor -8/3*f + d*f**2 - 1/3.
(f - 1)*(9*f + 1)/3
Let n = 382 + -382. Suppose n = -192*a + 194*a. Factor -4/7*v**3 + a + 0*v**2 + 4/7*v.
-4*v*(v - 1)*(v + 1)/7
Let l = 1183 + -22475/19. Let o = 471 + -8945/19. Let -2/19*s + 4/19*s**2 + l*s**3 - o = 0. Calculate s.
-2, -1, 1
Let n(v) be the third derivative of v**7/420 - v**6/48 - 5*v**5/24 + 5*v**4/48 + 2*v**3 - 1694*v**2 + 1. Find g such that n(g) = 0.
-3, -1, 1, 8
Suppose -5*s - s = 42. Let b(h) = h**2 + 5*h - 11. Let n be b(s). Factor 12*m**2 - 5*m**2 - 7*m**2 - n*m**2.
-3*m**2
Let t(g) = 2*g**3 + 27*g**2 - 29*g - 28. Let q be t(-14). Let k = 1276/7 - q. Factor k - 1/7*d - 1/7*d**2.
-(d - 1)*(d + 2)/7
Suppose -24*v + 48 = -36*v. Let b be (6 - v)*(-27)/(-315). Solve -10/7*m**3 + 0*m + 0 + b*m**2 = 0 for m.
0, 3/5
Let v(p) = -38*p**3 - 7*p**2 + 563*p + 157. Let l(u) = 115*u**3 + 20*u**2 - 1690*u - 470. Let d(c) = -3*l(c) - 10*v(c). Factor d(a).
5*(a - 4)*(a + 4)*(7*a + 2)
Let l be ((-62)/(-682))/(6/11). Factor -4*f + 0 + 7/3*f**2 - l*f**3.
-f*(f - 12)*(f - 2)/6
Let z(t) be the third derivative of -t**7/1050 - t**6/300 + 2*t**5/75 - t**4/20 + 38*t**3/3 + 6*t**2. Let f(h) be the first derivative of z(h). Factor f(i).
-2*(i - 1)*(i + 3)*(2*i - 1)/5
Let v(j) be the first derivative of -3*j**6 + 106*j**5/5 - 431*j**4/9 + 1024*j**3/27 - 32*j**2/3 - 14056. Solve v(w) = 0 for w.
0, 4/9, 2, 3
Let b(y) be the second derivative of -2/33*y**4 - 2 + 0*y**2 + 43/110*y**5 - 4/33*y**3 - 4/33*y**6 - 4*y. Solve b(t) = 0.
-1/4, 0, 2/5, 2
Let c(a) be the third derivative of a**6/960 - 13*a**5/30 + 3535*a**4/64 + 3675*a**3/8 - 9*a**2 - 170*a. Find i such that c(i) = 0.
-2, 105
Let z(p) be the second derivative of p**7/21 - 74*p**6/15 + 136*p**5 + 111*p**4 - 4107*p**3 - 1977*p. Suppose z(k) = 0. What is k?
-3, 0, 3, 37
Let d(f) = -f**3 + 9*f**2 + 7*f + 34. Let v be d(10). Find a, given that -v*a**5 - 24*a**2 - 26*a**3 + 3*a - 8*a - 12*a**4 + 2*a**5 - 3*a = 0.
-2, -1, 0
Suppose 135*p + 12 = 139*p. Find t such that 8*t**2 - 1852*t**p + 4*t**4 - 6*t**5 + 1866*t**3 + 4*t**5 = 0.
-1, 0, 4
Let q = 157 + -157. Factor -19 + 10 + q*o**2 - 3*o**2 + 4*o - 16*o.
-3*(o + 1)*(o + 3)
Let d(t) = -6*t**4 + 76*t**3 - 115*t**2 + 96*t - 9. Let u(o) = 6*o**4 - 74*o**3 + 116*o**2 - 94*o + 10. Let p(i) = -6*d(i) - 7*u(i). What is l in p(l) = 0?
1/3, 1, 8
Let y be (147/98)/((-17)/(306/(-135))). Factor 29/5*q - y*q**3 - 2/5*q**2 - 42/5.
-(q - 3)*(q - 2)*(q + 7)/5
Let j be 13 + -3 - (2 - -8). Factor 3/8*x**4 - 1/4*x**5 + 0*x**3 + j - 1/8*x**2 + 0*x.
-x**2*(x - 1)**2*(2*x + 1)/8
Suppose -4*p + 50 = -2*f, 4*f = -5*p + 51 + 5. Let n be (12 - (-7 + 18))*37. Factor 12*b**3 - 20*b**2 + p*b**4 + 0*b**2 - 9 + 42*b - n*b**2.
3*(b - 1)*(b + 3)*(2*b - 1)**2
Suppose -2682 = g - 2687. Determine z, given that 26*z**2 + 90*z**4 + 38*z**3 + 5*z**g + 267*z**3 - 420*z**2 - 506*z**2 + 454*z + 46*z = 0.
-10, 0, 1
What is f in -155*f**4 - 1755*f**2 + 3846*f**5 - 3851*f**5 + 1125*f**3 - 10*f**4 = 0?
-39, 0, 3
Suppose 27*d = 31*d + w - 6, -30 = -5*w. Let 0*u**4 + 1/5*u**5 + 0*u - 3/5*u**3 + d - 2/5*u**2 = 0. Calculate u.
-1, 0, 2
Let d(m) be the second derivative of 61*m**5/90 - 185*m**4/54 - 238*m**3/27 + 8*m**2/9 + 14*m - 73. Factor d(p).
2*(p - 4)*(p + 1)*(61*p - 2)/9
Let b(a) be the third derivative of a**6/30 + 19*a**5/3 + 184*a**4/3 + 728*a**3/3 + 901*a**2. Factor b(n).
4*(n + 2)**2*(n + 91)
Let b(y) = 9*y**2 + 28*y + 17*y - 15*y + 14*y + 84. Let d(j) = 100*j**2 + 485*j + 925. Let l(n) = -45*b(n) + 4*d(n). Factor l(x).
-5*(x + 4)**2
Let m(y) = 2*y**3 - 10*y**2 + 2*y. Suppose -5*w - 278 = -268. Let i(h) = 9*h**3 - 51*h**2 + 11*h. Let z(f) = w*i(f) + 11*m(f). Determine l, given that z(l) = 0.
0, 2
Suppose -46*n - 50*n = -25*n - 142. Factor -10/11*z + 0 + 2/11*z**n.
2*z*(z - 5)/11
Let v(a) be the third derivative of a**6/36 + 5*a**5/24 - 5*a**4/8 - 17*a**3/2 + 43*a**2. Let f(r) be the first derivative of v(r). Suppose f(i) = 0. What is i?
-3, 1/2
Let c(t) be the third derivative of -t**5/20 + 177*t**4/8 - 175*t**3 + 161*t**2 + t + 2. Factor c(y).
-3*(y - 175)*(y - 2)
Let g be 184 - 205 - 24/(-1). Let f(o) be the first derivative of -2/3*o**g - 8 - 3/2*o**2 + 2*o. Determine x, given that f(x) = 0.
-2, 1/2
Let t(y) be the second derivative of -22/21*y**3 + 11*y + 0*y**2 - 1/42*y**4 + 3. Determine i so that t(i) = 0.
-22, 0
Factor 5*z**2 - 6123223*z + 132 + 6122773*z + 313.
5*(z - 89)*(z - 1)
Let i = 311717 + -311714. Factor 4/3*a**i - 8*a + 0 - 4/3*a**2.
4*a*(a - 3)*(a + 2)/3
Suppose -69*s + 53 = -81 - 73. Let x be 6/5*2/4. Factor 0*m + 3/5*m**5 - 9/5*m**4 + 9/5*m**s - x*m**2 + 0.
3*m**2*(m - 1)**3/5
Find w such that 30*w - 78213*w**2 - 8 + 5*w**5 - 35*w**3 + 78158*w**2 + 15*w**4 + 48 