= 0.
0, 1, 109
Let u be ((-2)/4)/(10638/(-3940)). Let f(o) be the third derivative of -13*o**2 + u*o**3 + 1/270*o**5 - 1/18*o**4 + 0 + 0*o. Solve f(h) = 0.
1, 5
Determine g so that -46 - 49/3*g - 1/3*g**2 = 0.
-46, -3
Let h(v) = -3*v + 4 + 0*v + 4*v. Let a be h(-1). Factor -8*m**a + 0*m**4 + 19 + 12*m**2 - 8*m - 17 + 2*m**4.
2*(m - 1)**4
Let w be 6*(18833/777 + -24). Solve 0*o - 2/7*o**4 - w*o**3 + 0 - 12/7*o**2 = 0.
-3, -2, 0
Suppose 18*m - 1104 = -6*m. Suppose 22*a - m = -a. Factor -1/7*l - 1/7*l**3 + 0 + 2/7*l**a.
-l*(l - 1)**2/7
Let o(q) be the second derivative of -q**8/4200 - q**7/2100 - 67*q**4/6 + 21*q + 2. Let t(p) be the third derivative of o(p). Determine d, given that t(d) = 0.
-3/4, 0
Let m(i) = -3*i - 60. Let u be m(-21). Determine v, given that -79*v**5 - 12*v**2 - 12*v + 5*v**4 + 9*v**u + 82*v**5 + 7*v**4 = 0.
-2, -1, 0, 1
Let d = 426 - 278. Factor -44*u - 31*u**2 - 44*u**3 + 40*u - 4*u**4 + d*u - 65*u**2.
-4*u*(u - 1)*(u + 6)**2
Let j(w) be the third derivative of w**5/180 + 1121*w**4/36 + 1256641*w**3/18 + 231*w**2. Find y such that j(y) = 0.
-1121
Suppose 4*t - 19 = -11. Factor -48 - 3*g + 0*g + 4*g**t + 0*g - g.
4*(g - 4)*(g + 3)
Let o be 10/6*906662/1635. Let p = -924 + o. Let -2/3*y**3 - 4/9 + p*y**2 + 2/3*y + 2/9*y**4 = 0. What is y?
-1, 1, 2
Let d(o) = -o**2 - 552*o - 76184. Let q(w) = w**2 + 552*w + 76188. Let l(f) = -3*d(f) - 2*q(f). Factor l(m).
(m + 276)**2
Let v = -4901 - -4911. Let f(i) be the second derivative of 1/10*i**5 + 0*i**2 + 1/90*i**6 + 2/9*i**3 + 0 + 1/4*i**4 + v*i. Solve f(k) = 0 for k.
-4, -1, 0
Let t(h) be the third derivative of 0*h**5 - 1/15*h**6 - 8*h**2 + 0*h - 2/105*h**7 + 0*h**4 + 0*h**3 + 2. Solve t(g) = 0.
-2, 0
Let k(j) = 38*j**3 - 11*j**2 + 378*j + 362. Let p(b) = -3*b**3 - b + 1. Let c(x) = 4*k(x) + 52*p(x). Let c(v) = 0. Calculate v.
-25, -1, 15
Let v = -2711368/7 - -387973. Let s = 635 - v. Factor 6/7*j**2 + 0 + 6/7*j**3 + 2/7*j + s*j**4.
2*j*(j + 1)**3/7
Let w(x) = 64*x + 450. Let j be ((-252)/144)/((4/(-16))/(-1)). Let a be w(j). Solve -3/5*h**3 + 0 - 3/5*h**4 + 36/5*h + 24/5*h**a = 0 for h.
-2, 0, 3
Suppose 3*d + 39*i - 36*i - 3 = 0, 0 = 3*d - 2*i - 3. Let c be d/(-5)*(2 + -5). Determine x so that 0 + c*x**4 - 3/5*x**3 + 0*x + 0*x**2 = 0.
0, 1
Let n = 6403 + -4567. Factor 369*y**2 + 6759*y**2 - n*y - 10164*y**3 + 140 + 2662*y**4 + 22.
2*(y - 3)*(11*y - 3)**3
Let d(q) = 19*q**3 + q**2 - q - 2. Let z be d(-1). Let j = z + 22. What is b in -4*b**2 + 54 - 54 - b**5 + j*b + 4*b**4 - 2*b**3 = 0?
-1, 0, 1, 3
Let a(c) = -2*c**5 - 50*c**4 - 43*c**3 + 53*c**2 + 36*c. Let z(j) = -j**5 + j**3 - j**2 + 3*j. Let b(m) = -a(m) - 3*z(m). Factor b(r).
5*r*(r - 1)*(r + 1)**2*(r + 9)
Let v(r) be the third derivative of -r**6/780 - 31*r**5/130 - 61*r**4/52 - 7*r**3/3 + 1179*r**2. Factor v(a).
-2*(a + 1)**2*(a + 91)/13
Let x(w) = 4*w**3. Let y(o) be the third derivative of -o**7/210 + o**6/24 - 40*o**2 - o. Let c(v) = -6*x(v) + 4*y(v). Factor c(r).
-4*r**3*(r + 1)
Let m be (1 - 0)*(-38900)/60. Let q = m - -649. Factor -8/9*f + q + 2/9*f**2.
2*(f - 3)*(f - 1)/9
Let r(u) = -53*u + 2122. Let v be r(40). Let a(x) be the first derivative of 1/8*x**4 - 2*x - 18 + 2*x**v - 5/6*x**3. Find h such that a(h) = 0.
1, 2
Let g(h) be the second derivative of h**6/30 + 99*h**5/10 + 1105*h**4 + 156325*h**3/3 + 823875*h**2/2 + 104*h - 1. Factor g(x).
(x + 3)*(x + 65)**3
Let q(u) = 10*u**2 + 1330*u - 3865. Let j(y) = 3*y**2 + 664*y - 1933. Let b(w) = -5*j(w) + 2*q(w). Let b(v) = 0. What is v?
3, 129
Let d(x) be the first derivative of -2*x**3/15 + 121*x**2/5 - 484*x - 7585. Find u, given that d(u) = 0.
11, 110
Suppose 25*w + 217*w + 301972 = 302456. Factor -26/9*v**w - 4/3*v**3 + 32/9*v + 2/3.
-2*(v - 1)*(v + 3)*(6*v + 1)/9
Suppose -293*k + 36672 = 36086. Solve 0*h - 27/8*h**k - 1/4*h**5 - 9/2*h**3 - 15/8*h**4 + 0 = 0.
-3, -3/2, 0
Let x = 25/366 - -79/183. Factor 27/10*y - 1 - x*y**2.
-(y - 5)*(5*y - 2)/10
Let s(k) = -k**2 - 5*k + 1. Let h be s(-4). Let t = 8755/3 + -2918. Solve 0 + t*j**h + 1/3*j**3 + 0*j**2 + 2/3*j**4 + 0*j = 0 for j.
-1, 0
Let p be (-33100)/(-153000) - 2/9. Let c = 13763/1190 - p. Let 3*l**4 - 12/7*l - 78/7*l**3 + c*l**2 - 12/7 = 0. What is l?
-2/7, 1, 2
Suppose -162 = 13*v - 10*v. Let a = v + 63. Factor -a - 2*h + 29*h - 47 - 3*h**2 + 32.
-3*(h - 8)*(h - 1)
Let i(k) = -4*k - 122. Let u be i(-33). Let r(d) = -d + 6. Let h be r(-5). Factor 2*a - 9*a**3 - 6*a**3 - u*a + h*a**3 + 12*a**2.
-4*a*(a - 2)*(a - 1)
Let h = -7 + 10. Let m = -463 + 483. Factor 1 - m*v - 16*v**2 + v**3 + 7*v**3 - 9 - 12*v**h.
-4*(v + 1)**2*(v + 2)
Let b be 16/10 + (-74)/(-185). Let -2*k - 6419*k**3 + 3*k**b - 3 + 9*k + 6413*k**3 - k + 0*k = 0. Calculate k.
-1, 1/2, 1
Let z(x) = x**2 + 45*x + 51. Let c be z(-44). Factor -3*s + 2 - 225*s**2 - 4 - c*s + 2.
-5*s*(45*s + 2)
Let x be (-7)/(-210) + 885/450. Let d(r) be the third derivative of -1/36*r**4 - 1/12*r**3 + 5*r**x + 0*r - 1/360*r**5 + 0. Factor d(y).
-(y + 1)*(y + 3)/6
Factor -1/4*t**2 + 21/4*t - 27/2.
-(t - 18)*(t - 3)/4
Let i(l) be the second derivative of -1/16*l**5 + 175*l - 15/8*l**3 - 5/8*l**4 + 0*l**2 + 0. Solve i(p) = 0.
-3, 0
Let d(k) be the first derivative of 16*k - 57 + 15/8*k**4 - 9*k**2 - 58/3*k**3. Factor d(u).
(u - 8)*(3*u + 2)*(5*u - 2)/2
Let p be 26/10 + 16/40. Let s(u) = 5*u**3 + 93*u**2 + 477*u + 643. Let r(q) = 10*q**3 + 185*q**2 + 955*q + 1285. Let v(o) = p*r(o) - 5*s(o). Factor v(a).
5*(a + 2)*(a + 8)**2
Let v(g) be the first derivative of 3*g**2 - 2/3*g**3 - 215 + 0*g. Determine m so that v(m) = 0.
0, 3
Determine p so that -9/2 - 1/4*p**2 + 9/4*p = 0.
3, 6
Let s(d) = -4*d**2 - 29*d - 16. Let y be s(-7). Let u be ((-4)/(-3))/(5 + y + 5). Suppose 2/3*h**2 - u*h + 2/3*h**3 + 0 = 0. What is h?
-2, 0, 1
Let n(s) be the first derivative of -3*s**4/14 + 466*s**3/21 + 316*s**2/7 - 3393. Factor n(u).
-2*u*(u - 79)*(3*u + 4)/7
Let h be (56/(-70))/(4/10) + 60. Factor h*z - 3*z - 11*z - 7*z**2 + 72*z + 3*z**2.
-4*z*(z - 29)
Let j = -281 + -26. Let d = -919/3 - j. Suppose 2/3*c**3 + 2/3*c**4 + 0 - 2/3*c - d*c**2 = 0. What is c?
-1, 0, 1
Let r = -481 + 470. Let o be 19 + r - (-1)/(3/(-12)). Let -14/13*f**3 + 4/13*f**o - 10/13*f + 2/13 + 18/13*f**2 = 0. What is f?
1/2, 1
Let c(n) = 4*n**4 + 40*n**3 + 132*n**2 + 160*n + 66. Let j = 405 - 406. Let z(p) = 1. Let x(i) = j*c(i) + 2*z(i). Factor x(g).
-4*(g + 1)**2*(g + 4)**2
Let z(t) be the third derivative of -1/240*t**6 - 70*t**2 + 0 + 4/15*t**5 + 0*t - 61/48*t**4 + 5/2*t**3. Factor z(a).
-(a - 30)*(a - 1)**2/2
Let m = 54 - 21. Suppose j - 28*j + 7*j**2 + m - 9*j - 4*j**2 = 0. Calculate j.
1, 11
Let l(c) be the first derivative of 22*c + 0*c**3 - 3/4*c**2 + 1/8*c**4 + 5. Let p(u) be the first derivative of l(u). Factor p(v).
3*(v - 1)*(v + 1)/2
Let j(z) = -16*z - 5. Let h be j(-2). Suppose -5 = 11*l - h. Solve 11 - 3 + 4 - 3*o + o - l*o**2 = 0.
-3, 2
Let m(j) = j**5 + 2*j**4 + j**3 - j**2 - 1. Let u(l) = -2*l**5 - 6*l**4 - 6*l**3 - 3*l**2 - 1. Let t(h) = 5*m(h) - 5*u(h). Suppose t(g) = 0. Calculate g.
-1, -2/3, 0
Let i(q) = 7*q**2 - 50*q + 87. Let j be i(3). Factor 25/7*p - 1/7*p**3 + j - 24/7*p**2.
-p*(p - 1)*(p + 25)/7
Let j(v) = 2*v**3 + 49*v**2 + 53*v - 39. Let g(h) = -h**3 - 25*h**2 - 26*h + 26. Let f(m) = 5*g(m) + 2*j(m). Solve f(z) = 0 for z.
-26, -2, 1
Let f = -934 + 934. Let p(c) be the third derivative of 1/315*c**7 - 4*c**2 + 0*c**4 - 1/180*c**6 + f + 0*c**3 + 0*c**5 + 0*c. Determine k so that p(k) = 0.
0, 1
Let i(c) be the third derivative of 5*c**8/1848 + c**7/55 - 4*c**6/165 - 14*c**5/55 - 4*c**4/33 + 1256*c**2 + 2*c. Suppose i(k) = 0. What is k?
-4, -2, -1/5, 0, 2
Suppose 7*f - 8 = 3*f. Let o(t) be the first derivative of -1 - t**3 - t**2 + 3*t + t**f + 0*t**2. Factor o(m).
-3*(m - 1)*(m + 1)
Suppose -101*o + 64*o = 3996. Let g be -9 - (-9)/o*-124. What is y in -3/2*y + 1/6*y**2 + g = 0?
1, 8
Let q = 16 + -1. Suppose -8*w = -3*w - q. Factor -r**2 + 4 + 4 - w - 3 - r.
-(r - 1)*(r + 2)
Suppose -7*o - 2340 = 8*o. Let a be 12/(-78) - 102/o. Factor -a*z**3 + 1/2*z + 0 - 1/4*z**4 + 1/4*z**2.
-z*(z - 1)*(z + 1)*(z + 2)/4
Let j(z) = 1940*z + 52382. Let k be j(-27). Find l such that -6/5*l + 0 + 2/5*l**k = 0.
0, 3
Factor -2/11*h**3 + 1368/11 + 14/11*h**2 + 384/11*h.
-2*(h - 19)*(h + 6)**2/11
Suppose -61*l - 693*l 