+ 3/2*s**3 + 0*s + 0 = 0.
0, 6
Let m(u) be the third derivative of -5/51*u**3 + 0*u - 1/34*u**4 + 0 - 1/510*u**5 - 8*u**2. Determine l, given that m(l) = 0.
-5, -1
Let u(d) be the third derivative of d**7/630 + d**6/180 + 5*d**4/24 - 6*d**2. Let y(n) be the second derivative of u(n). Suppose y(b) = 0. Calculate b.
-1, 0
Let x(f) be the first derivative of f**4/6 + 2*f**3/3 - 18*f + 19. Let h(v) be the first derivative of x(v). Suppose h(p) = 0. What is p?
-2, 0
Factor 2*x**4 + 0*x**4 - 2*x**2 - 7*x**2 + 439*x + x**2 - 8*x**3 - 407*x.
2*x*(x - 4)*(x - 2)*(x + 2)
Let o(x) = 9*x**3 - 40*x**2 - 39*x + 18. Let y(r) = 27*r**3 - 116*r**2 - 117*r + 54. Let w(m) = 7*o(m) - 2*y(m). Factor w(z).
3*(z - 6)*(z + 1)*(3*z - 1)
Determine i, given that -1443/2*i - 1369/2 - 75/2*i**2 - 1/2*i**3 = 0.
-37, -1
Let w(o) be the second derivative of o**5/4 + 15*o**4/2 + 135*o**3/2 + 270*o**2 - 48*o. Determine s so that w(s) = 0.
-12, -3
Let s(o) be the second derivative of o**4/6 + o**3/2 - 5*o**2/2 + 13*o. Let t(r) = -r**2 - r + 2. Let v(l) = -2*s(l) - 5*t(l). What is b in v(b) = 0?
0, 1
Let d(t) be the first derivative of -5*t**4/4 - 5*t**3 + 194. Suppose d(x) = 0. What is x?
-3, 0
Let w = 1639 + -1631. Let j(s) be the third derivative of 0*s**6 + 0*s**3 + 1/70*s**7 - 1/15*s**5 + 0*s**4 + 0 + 0*s - 2*s**2 - 1/336*s**w. Factor j(h).
-h**2*(h - 2)**2*(h + 1)
Solve 3*g**3 - 3*g**4 + 6*g**2 + g**4 + g**3 - 8*g**3 + 8 + 16*g = 0 for g.
-2, -1, 2
Suppose 4*u + 134 = 5*b, -2*b + 20 + 44 = u. Let i be -3*5/(b/(-4)). Solve 2*d**3 + d + 3*d**2 + i - 4 - d**4 - 4*d**3 + d**3 = 0.
-2, -1, 1
Let f = -1897 - -1903. Let g(o) be the third derivative of 0*o**3 + 0 - f*o**2 + 1/210*o**5 + 1/84*o**4 + 0*o. Factor g(n).
2*n*(n + 1)/7
Let b = 33 - 9. Let 36 + 4*s**4 + 14*s**2 + 38*s**2 - 6 + b*s**3 - 14 + 48*s = 0. Calculate s.
-2, -1
Let l(b) be the third derivative of 1/90*b**6 - 1/12*b**4 + 1/9*b**3 + 1/504*b**8 + 11*b**2 + 0 + 0*b - 1/105*b**7 + 1/45*b**5. Factor l(a).
2*(a - 1)**4*(a + 1)/3
Suppose -4*c - 7 - 1 = 0. Let p be 3 + c - (-2 + 1). Factor 0*m**2 + 0*m**3 - 2*m**3 + 0*m**3 + 4*m**p.
-2*m**2*(m - 2)
Let u(i) be the first derivative of 4/45*i**3 + 4/15*i - 7 + 1/3*i**2. Factor u(k).
2*(k + 2)*(2*k + 1)/15
Let i(w) be the third derivative of -w**6/160 - 13*w**5/40 - 6*w**4 - 36*w**3 - 76*w**2. Let i(g) = 0. Calculate g.
-12, -2
Let b(h) be the second derivative of h**5/70 - 10*h**4/21 + 11*h**3/3 + 242*h**2/7 - 192*h. Factor b(a).
2*(a - 11)**2*(a + 2)/7
Let p be 8/24 + (-1)/3. Let i(k) be the second derivative of p + 1/84*k**4 - 1/210*k**6 + 0*k**2 + 0*k**3 + 5*k + 0*k**5. Determine g, given that i(g) = 0.
-1, 0, 1
Let n = -29 + 31. Factor -5*a**n + 2*a**2 + 8 - 10 + a**2 - 4*a.
-2*(a + 1)**2
Let p(l) = -6*l**3 - 24*l**2 + 3*l + 21. Let x(y) = -y**4 - 6*y**3 - 23*y**2 + 2*y + 20. Let d(a) = -4*p(a) + 3*x(a). Determine b so that d(b) = 0.
-2, -1, 1, 4
Let b(o) = 7*o - 215. Let l be b(31). Suppose 12/7 + 9/7*p**l + 24/7*p = 0. Calculate p.
-2, -2/3
Let j(y) be the third derivative of y**5/12 + 15*y**4/8 + 35*y**3/3 + 301*y**2. Let j(f) = 0. What is f?
-7, -2
Let k = 22147/6 - 3691. Factor k*s**2 + 6 + 2*s.
(s + 6)**2/6
Suppose 2*w = w + 2. Factor 7*i**2 - w*i**3 - 4*i**3 - 21*i**2 - 4*i.
-2*i*(i + 2)*(3*i + 1)
Let j(b) = -4*b - 13. Let o be j(-8). Suppose -16*l + o*l - 9 = 0. Factor 3*a**l + 27 - 35*a**2 + 20*a**2 + 9*a + 0*a**3.
3*(a - 3)**2*(a + 1)
Let b(v) be the first derivative of -v**7/105 + 7*v**6/180 - v**5/18 + v**4/36 - 3*v**2/2 - 19. Let g(u) be the second derivative of b(u). Factor g(h).
-2*h*(h - 1)**2*(3*h - 1)/3
Let o(b) = 2*b**3 + 11*b**2 - 11*b - 25. Let x be o(-6). Let 0*n - 3/2*n**2 + 15/2*n**3 + 0 - 21/2*n**4 + 9/2*n**x = 0. Calculate n.
0, 1/3, 1
Solve -5*a**4 - 5*a**3 + 25788*a**2 - 25788*a**2 = 0.
-1, 0
Let m be 2/(-1) + 9 + -3. Let c(q) = -4 + m - q + 0*q. Let f(h) = -9*h**2 - 3*h. Let b(i) = -3*c(i) - f(i). Factor b(s).
3*s*(3*s + 2)
Factor -54 + 2*j**3 - 10*j**2 - 16*j + 78 + 0*j**3.
2*(j - 6)*(j - 1)*(j + 2)
Let n(q) be the second derivative of -1/11*q**3 - 1/22*q**4 + 0*q**2 + 0 + 18*q + 3/110*q**5 + 1/55*q**6. Let n(r) = 0. What is r?
-1, 0, 1
Let s = -54 - -56. Solve -37*g + 12*g**3 - 24*g**s + 31*g + 22*g - 2*g**4 = 0 for g.
0, 2
Let p = 16 - 13. Suppose -2*o - 5*s - 6 = -20, -16 = -p*o - 5*s. Factor 4*y**3 - 5*y**4 + 2*y**4 - 2*y**2 + o*y**3 - y**2.
-3*y**2*(y - 1)**2
Factor -13*d + 25/2*d**2 + 4 - 7/2*d**3.
-(d - 2)*(d - 1)*(7*d - 4)/2
Let i be (9 - -1) + (-213)/30 + (-4)/(-40). Determine m so that -16/13*m - 10/13*m**2 - 8/13 - 2/13*m**i = 0.
-2, -1
Suppose -6*i + 5*i + 20 = 0. Factor b**2 - 6*b**2 + 753*b - 768*b + i.
-5*(b - 1)*(b + 4)
Let v(f) be the first derivative of f**6/24 - f**5/5 + 3*f**4/16 + f**3/3 - f**2/2 + 340. Solve v(r) = 0 for r.
-1, 0, 1, 2
Let r = -16077/52 + 1241/4. Solve 4/13*l**4 + 4/13*l + r*l**3 + 14/13*l**2 + 0 = 0.
-2, -1, -1/2, 0
Let g(z) be the first derivative of 4*z**3/3 - 6*z**2 + 8*z + 173. Factor g(h).
4*(h - 2)*(h - 1)
Let w be ((-315)/27 + 12)/((-14)/(-4)). Let b(c) be the first derivative of -2 + 0*c - 1/7*c**2 - w*c**3. Factor b(v).
-2*v*(v + 1)/7
Let o = 1223 + -1221. Let a be -1 + ((-21)/(-15))/1. Factor 2/5*x**4 + a*x**5 + 0 - 2/5*x**o + 0*x - 2/5*x**3.
2*x**2*(x - 1)*(x + 1)**2/5
Let v = 17 + -13. Solve 96*q**3 + 33*q**v + 35*q**4 + 4*q**2 - 4*q**4 - 24*q + 4 = 0.
-1, 1/4
Let q(s) be the second derivative of 3*s**5/20 - 5*s**4/4 - 61*s**3/2 - 165*s**2/2 - 198*s. Suppose q(w) = 0. Calculate w.
-5, -1, 11
Let h(n) be the third derivative of -n**5/80 + 9*n**4/16 - 17*n**3/8 + 5*n**2 - 17*n. Solve h(y) = 0.
1, 17
Suppose -5*f - 10 = -20. Suppose 9 + 18*r**2 - 3*r**2 - 6*r - 12*r**2 - 6*r**f = 0. What is r?
-3, 1
Suppose 3*l + 511*v - 509*v - 9 = 0, 2*l + v - 6 = 0. Suppose 1/2 - m**2 - 1/4*m + 3/4*m**l = 0. Calculate m.
-2/3, 1
Let r(g) = -g**3 + 12*g**2 + 16*g - 32. Let u be r(13). Suppose -9 + u = -c. Solve -2/11*o + 0*o**3 + 4/11*o**4 + 2/11*o**5 - 4/11*o**c + 0 = 0.
-1, 0, 1
Suppose -4*c - 12 = -10*c. Let t be (15/10 + 0)*c. Let -4/3*x + 2/3*x**t + 0 + 2/3*x**2 = 0. Calculate x.
-2, 0, 1
Let y(f) = 22*f**3 - 23*f**2 - 39*f + 23. Let g(b) = -7*b**3 + 8*b**2 + 13*b - 8. Let s(i) = -17*g(i) - 6*y(i). Factor s(c).
-(c - 1)*(c + 1)*(13*c - 2)
Let u(x) be the first derivative of x**5/5 - x**3 - x**2 + 89. Factor u(d).
d*(d - 2)*(d + 1)**2
Let g be 3 + 5/(-20)*0. Let 0*f**2 - f**3 + f + 3*f**2 + f**4 + 4*f**g + 0*f**2 = 0. What is f?
-1, 0
Factor 2/7*s**5 + 18/7*s - 48/7*s**2 + 0 - 16/7*s**4 + 44/7*s**3.
2*s*(s - 3)**2*(s - 1)**2/7
Let a = 21851/5 + -4370. Find v, given that -16/5 - a*v**2 - 8/5*v = 0.
-4
Let 33/2*f + 8*f**2 + 7 - 3/2*f**3 = 0. Calculate f.
-1, -2/3, 7
Let g = -94 - -96. Let s(j) be the third derivative of 0*j + 1/75*j**5 - 2/525*j**7 + 1/60*j**4 + 0*j**3 + 0 + 0*j**6 + 3*j**g - 1/840*j**8. Solve s(w) = 0.
-1, 0, 1
Let a(i) be the first derivative of -i**6/72 - 2*i**3/3 + 3. Let r(w) be the third derivative of a(w). Factor r(v).
-5*v**2
Let c(j) be the third derivative of -5*j**9/4032 - 3*j**8/448 - j**7/70 - j**6/60 + j**5/10 - 19*j**2. Let q(a) be the third derivative of c(a). Factor q(v).
-3*(v + 1)*(5*v + 2)**2
Let d(s) be the first derivative of -s**5/150 + s**4/45 - s**3/45 + 2*s - 12. Let w(i) be the first derivative of d(i). Factor w(r).
-2*r*(r - 1)**2/15
Factor -32/11*s**3 - 112/11*s**2 + 62/11*s - 8/11.
-2*(s + 4)*(4*s - 1)**2/11
Let j be (78/91)/(7 + -17 - -12). Factor 3/7*v + j*v**2 + 0.
3*v*(v + 1)/7
Let f be 2/12*(35 - (13 + -8)). Let p(k) be the third derivative of 1/450*k**f + 0*k - 1/45*k**4 + 1/15*k**3 + 5*k**2 + 0. Factor p(h).
2*(h - 3)*(h - 1)/15
Suppose -4*i - 12 = 2*h, 3*i - 5*i = 8. Suppose 8*o**h - 16*o**5 + 52*o**4 + 5*o - 44*o**3 - 7*o + 2*o = 0. What is o?
0, 1/4, 1, 2
Suppose -81*r = 29*r - 27*r - 332. Suppose 0*a**3 + 0 + 0*a + 0*a**r + 0*a**2 + 6/11*a**5 = 0. What is a?
0
Let g(m) be the first derivative of 19/2*m**2 - 20/3*m**3 - 1/6*m**6 + 2/5*m**5 - 6*m + 3/2*m**4 + 20. Factor g(v).
-(v - 2)*(v - 1)**3*(v + 3)
Suppose -15799 + 25*k**2 - 428*k - 60*k**2 + 33*k**2 - 7099 = 0. What is k?
-107
Let d(k) = k**3 - 3*k**2 - 3*k - 2. Let v be d(4). Suppose p - 2*p + 2 = 0. Factor -4*t + 5 - 3 + 2 + p*t**v - 2.
2*(t - 1)**2
Let t = -43 + 47. Suppose -23*s**3 + 