51200 + n**8/16800 - n**6/3600 - n**4/24 + 3*n**2. Let u(c) be the second derivative of l(c). Factor u(y).
-y*(y - 1)**2*(y + 1)**2/5
Let a(u) be the second derivative of -3*u**5/20 - u**4/4 - 7*u. Determine z, given that a(z) = 0.
-1, 0
Let v be -4 + (-2 - 1158/(-171)). Let a = v - 2/19. Factor -a*i**2 - 1/3*i - 1/3*i**3 + 0.
-i*(i + 1)**2/3
Let x(z) be the second derivative of 0*z**2 + 0*z**5 + 2/51*z**3 - 1/34*z**4 + 6*z + 0 + 1/255*z**6. Factor x(i).
2*i*(i - 1)**2*(i + 2)/17
Let q(r) be the first derivative of r**4 + 16*r**3/3 - 6. Suppose q(g) = 0. What is g?
-4, 0
Let c be 1*(2 + -1 - -2). Let v(u) be the third derivative of 0 + 3*u**2 - 1/180*u**5 + 1/18*u**c + 0*u + 0*u**4. Factor v(p).
-(p - 1)*(p + 1)/3
Let d(y) be the first derivative of 3*y**5/5 - 27*y**4/4 + 24*y**3 - 24*y**2 - 18. Factor d(z).
3*z*(z - 4)**2*(z - 1)
Let n(x) = -x**2 + 1 - 6*x**2 + 6*x**2. Suppose 5*l + 11 + 25 = -3*o, 5*l + 28 = o. Let q(c) = -c**3 - 8*c**2 - c + 6. Let a(j) = l*n(j) + q(j). Factor a(z).
-z*(z + 1)**2
Let u(n) be the third derivative of -n**5/570 - n**4/76 - 2*n**3/57 - 3*n**2. Factor u(k).
-2*(k + 1)*(k + 2)/19
Let c(a) = 7*a**4 + 5*a**3 - a**2 - 5*a - 6. Let u(x) = 6*x**4 + 6*x**3 - 6*x - 6. Let f(l) = -3*c(l) + 4*u(l). Factor f(m).
3*(m - 1)*(m + 1)**2*(m + 2)
Let s(h) be the first derivative of -6/5*h**2 + 4 + 3/5*h**3 - 12/5*h. Factor s(l).
3*(l - 2)*(3*l + 2)/5
Let t(g) = g + 2. Let y be t(-2). Solve -1/2*z + 5/4*z**3 + y - 3/4*z**2 = 0.
-2/5, 0, 1
Factor 224/9*t**3 - 512/9 - 34/9*t**4 - 704/9*t**2 + 1024/9*t + 2/9*t**5.
2*(t - 4)**4*(t - 1)/9
Let t = 594/755 - -2/151. Factor 0*k**2 + 2/5*k**3 + t - 6/5*k.
2*(k - 1)**2*(k + 2)/5
Factor 0 - 2/7*y**2 + 0*y.
-2*y**2/7
Let w(p) = 3*p**3 - 2*p**2 + p. Let s be w(1). Suppose 4*o**2 - 4*o - 4*o**2 + o**2 + 1 + s*o = 0. What is o?
1
Let v = 238553757379348/28553 + -8354770332. Let c = v - 2/4079. Factor -4/7 - c*t - 18/7*t**2.
-2*(t + 1)*(9*t + 2)/7
Let p(s) be the second derivative of 1/24*s**4 + 0*s**3 + 1/80*s**5 + 0 + 0*s**2 - 2*s. Suppose p(n) = 0. What is n?
-2, 0
Let y = -5 + 5. Suppose y*h - h = -3. Factor -2*c**3 + 4*c**h + 4*c**2 + 3*c - c.
2*c*(c + 1)**2
Let r(z) be the first derivative of 4*z**3/33 - 13*z**2/22 + 3*z/11 + 12. Factor r(v).
(v - 3)*(4*v - 1)/11
Suppose 2*x = 2*a + 14, 0 = 2*x - x + a + 1. Let p = 3 + x. Factor -16*o**2 - p*o**3 + 7*o**2 + 0*o - 3*o.
-3*o*(o + 1)*(2*o + 1)
Let t be (-2)/3 - 141/(-9). Suppose -5*q + t + 0 = 0. Factor -10*r + 3*r + q*r - r**3 + 4*r**2.
-r*(r - 2)**2
Let z(d) = -3*d**3 + 7*d**2 - 4*d - 3. Let b(f) = 2*f**3 - 6*f**2 + 4*f + 4. Let j(a) = a - 9. Let s be j(12). Let q(h) = s*b(h) + 4*z(h). Factor q(w).
-2*w*(w - 1)*(3*w - 2)
Let m be 16/(-10) + (7 - (4 - -1)). Let n = 8 - 6. Solve 4/5*p + m*p**n + 2/5 = 0.
-1
Let q(p) be the second derivative of p**7/147 + 2*p**6/105 - 3*p**5/70 + 21*p. Factor q(k).
2*k**3*(k - 1)*(k + 3)/7
Let c(u) = -3*u**2 - 38*u - 23. Let p be c(-12). Find j such that 9*j**5 - 17/2*j + 3/2*j**4 - 49/2*j**2 - 49/2*j**3 - p = 0.
-1, -1/2, -1/3, 2
Suppose -2 = w + c, 2*w - 5*c - 2 = -w. Let r(b) = b + 3. Let h be r(w). Solve 3/4*u**3 - 3/4*u**h - 3/4*u + 3/4 = 0 for u.
-1, 1
Suppose t - 28 = 4*z - 7, 0 = -z - 4. Suppose -t*m = -m - 8. Factor -m*k**5 + 17*k + k**5 - 17*k.
-k**5
Let f = 56 - 33. Suppose 2*o - f + 3 = 4*p, -3*o - 6 = 3*p. Determine t so that 0*t**2 - 2*t**2 + t**3 - 4*t**2 + o*t**3 = 0.
0, 2
Let p(u) be the third derivative of -u**5/270 + u**4/54 - u**2. Factor p(g).
-2*g*(g - 2)/9
Suppose -4/13*r - 2/13*r**3 + 6/13*r**2 + 0 = 0. Calculate r.
0, 1, 2
Let q = -97 + 98. Solve q + 1/4*x**2 + x = 0 for x.
-2
Let b(x) be the third derivative of x**9/151200 + x**5/30 - 3*x**2. Let k(r) be the third derivative of b(r). Find j such that k(j) = 0.
0
Let l(y) be the first derivative of 6*y**4/13 + 22*y**3/39 - 2*y**2/13 - 2*y/13 - 1. Solve l(g) = 0 for g.
-1, -1/4, 1/3
Suppose -a - 3 + 1 = 0. Let l be (a - 0 - -5)/1. Factor 4/3*f**2 + 0 + 0*f - 14/3*f**l.
-2*f**2*(7*f - 2)/3
Suppose -6/5 - 3/5*h + 3/5*h**2 = 0. Calculate h.
-1, 2
Let f(p) be the first derivative of 4/9*p**2 - 3 + 0*p + 1/18*p**4 - 8/27*p**3. Let f(c) = 0. Calculate c.
0, 2
Let h(d) be the first derivative of d**6/420 - d**5/105 + d**4/84 - 3*d**2 + 2. Let m(l) be the second derivative of h(l). Suppose m(z) = 0. What is z?
0, 1
Let d(c) be the second derivative of -c**5/90 + 2*c**4/27 - c**3/9 + 13*c. Determine q, given that d(q) = 0.
0, 1, 3
Let t(f) = 9*f**2 + 10*f - 4. Let g(r) = -36*r**2 - 39*r + 15. Let k(u) = -4*g(u) - 15*t(u). Solve k(q) = 0 for q.
-2/3, 0
Let 392/13 - 56/13*f + 2/13*f**2 = 0. What is f?
14
Let m(g) be the third derivative of -g**6/840 - g**5/210 - g**4/168 - 7*g**2. Factor m(k).
-k*(k + 1)**2/7
Factor 4*h**2 - 8*h**2 - 2 + 0 + 6.
-4*(h - 1)*(h + 1)
Determine d, given that 3/4*d - 1/2*d**2 + 1/4*d**5 + 0*d**4 + 1/2 - d**3 = 0.
-1, 1, 2
Let f = -4 + 4. Suppose y + 6 = u + 4*y, f = -5*u - 4*y + 19. Find d such that -2 + 4 + 6*d - 1 + u + 2*d**2 = 0.
-2, -1
Let p = 38/91 - -2/13. Solve 2/7*t**2 - 16/7*t**3 + 0 + p*t + 10/7*t**4 = 0 for t.
-2/5, 0, 1
Let r be 0/((-1)/(2 - 3)). Let q(g) be the first derivative of -2/5*g**2 + r*g + 1 + 2/15*g**3 - 2/25*g**5 + 1/5*g**4. Factor q(a).
-2*a*(a - 2)*(a - 1)*(a + 1)/5
Let y be (-85)/(-34)*(-6)/(-10). Let w(q) be the first derivative of 3/2*q**3 - 3 + y*q**2 + 3/4*q**4 + 3/4*q + 3/20*q**5. Solve w(m) = 0.
-1
Let m(w) be the third derivative of -w**5/360 + 5*w**4/144 - 15*w**2. Factor m(f).
-f*(f - 5)/6
Let g(w) = w**3 + w**2 - w + 1. Let m(v) = v**5 - 6*v**4 + 16*v**3 - 9*v**2 + v + 3. Let n(h) = -3*g(h) + m(h). Let n(z) = 0. What is z?
0, 1, 2
Suppose 0 = 4*x + 2*n - 16, -4*n = -x - 4 - 1. Suppose x*a = -4*u + 5, -5*u + u = -a - 9. Let 1/3*c**3 + 0*c + 1/6*c**u + 0 + 1/6*c**4 = 0. Calculate c.
-1, 0
Let u be 4/8 - (-21)/6. Let s(n) be the second derivative of n + 5/48*n**u - 1/4*n**2 + 0 - 1/8*n**3. Factor s(i).
(i - 1)*(5*i + 2)/4
Solve 64 + 4*n**2 + 3*n**2 - 3*n**2 + 32*n = 0 for n.
-4
Let m be (-6)/(-2) - (-3 - 24/(-6)). Factor 1/2*p**m - 5/4*p**3 + 5/4*p - 1/2.
-(p - 1)*(p + 1)*(5*p - 2)/4
Solve -14/3*m - 27*m**5 - 2/3 + 95/3*m**3 - 5/6*m**2 + 3/2*m**4 = 0.
-1, -2/9, 1/2, 1
Let z(j) be the second derivative of -j**6/55 + 7*j**5/110 + j**4/11 - 4*j**3/11 - 8*j**2/11 + 10*j. Find f, given that z(f) = 0.
-1, -2/3, 2
Suppose 3*f - 4*f = -6. Suppose -t + 4*w + 0 = f, -3*t + 8 = w. Factor 0*o + 0 + 0*o**3 - 1/2*o**4 + 0*o**t.
-o**4/2
Let c(k) be the first derivative of 0*k**2 + 2*k - 4/3*k**3 + 6 + 0*k**4 + 2/5*k**5. Factor c(y).
2*(y - 1)**2*(y + 1)**2
Let d(k) = -4*k - 9. Let t be d(-4). Factor -7 + 3*y**2 + y**4 - 4*y**4 + t.
-3*y**2*(y - 1)*(y + 1)
Let j(l) be the third derivative of l**8/120 - 16*l**7/525 + 11*l**6/300 - l**5/75 + 6*l**2. Solve j(s) = 0 for s.
0, 2/7, 1
Let u = 8 - 42. Let j be (-18)/(-81) - u/9. Find f, given that 0 - 2/5*f**5 + 0*f**2 + 0*f**3 + 0*f + 0*f**j = 0.
0
Find f, given that -8*f**4 + 106 - 6*f**3 + 2*f**4 - 100 + 24*f**2 - 21*f + 3*f**5 = 0.
-2, 1
Let w(t) be the second derivative of t**7/10080 + t**6/1440 + t**5/480 - t**4/6 + 2*t. Let h(l) be the third derivative of w(l). Factor h(c).
(c + 1)**2/4
Let k(d) = -d + 15. Let s be k(13). Let j = 8 + -6. Determine l so that 5*l**s + 2*l - 4*l**2 - 1 - j*l**2 = 0.
1
Factor 3/4*c - 3/2*c**2 - 9/4*c**3 + 0.
-3*c*(c + 1)*(3*c - 1)/4
Let i(a) be the third derivative of -a**8/70560 - a**7/8820 - a**5/60 + 3*a**2. Let s(v) be the third derivative of i(v). Factor s(h).
-2*h*(h + 2)/7
Let i = 32 + -32. Factor 3/4*j**4 + 1/4*j**2 + i*j + 0 - 1/4*j**5 - 3/4*j**3.
-j**2*(j - 1)**3/4
Let z(y) be the first derivative of y**4/18 + 37*y**3/27 + 10*y**2 + 9*y + 38. Suppose z(r) = 0. What is r?
-9, -1/2
Let z(j) be the second derivative of j**4/4 + j**3/2 - 3*j**2 + 7*j. Factor z(m).
3*(m - 1)*(m + 2)
Let g(r) be the third derivative of -r**7/2520 - r**6/720 + r**4/8 + 2*r**2. Let t(h) be the second derivative of g(h). Find y, given that t(y) = 0.
-1, 0
Let s be 5/(-2)*24/(-130). Let x = 37/52 - s. Factor -1/4*n**2 + 1/4 - x*n**3 + 1/4*n.
-(n - 1)*(n + 1)**2/4
Let r(b) = b**3 + 6*b**2 - 9*b + 4. Let u(q) = -q**3 - 7*q**2 + 10*q - 5. Let g(o) = 7*r(o) + 6*u(o). Suppose g(m) = 0. What is m?
-1, 2
Determine v so that 0 + 2/3*v**3 + 0