**4 + 0 - 16/7*o.
-2*o*(o - 2)**3*(o - 1)/7
Suppose -2*i + 2*r + r = -252, 3*r - 12 = 0. Suppose 0 = 11*q - 12*q + 1. Factor 4 + i*u**2 + q + 15*u - 126*u**2 + 1.
3*(u + 2)*(2*u + 1)
Let i(z) = z**3 + z**2 - z - 1. Let b(m) = -6*m**3 + 0*m**2 + 11*m**2 - 1 + 4*m + 12*m**3. Let a(l) = -b(l) + 5*i(l). Determine k so that a(k) = 0.
-4, -1
Solve -x**3 + 5*x - 29*x**2 + x**4 + 26*x**2 + 3 - 1 - 4*x = 0.
-1, 1, 2
Let g = 2552/11845 - -1/515. Let t = g - -31/69. Factor 2/3*y**2 - 4/3*y**4 - 5/3*y + 4/3*y**3 + 1/3*y**5 + t.
(y - 2)*(y - 1)**3*(y + 1)/3
Let h(u) be the first derivative of -2*u**3 + 59 - 9/2*u**2 + 6*u. Let h(d) = 0. What is d?
-2, 1/2
Let d(t) be the second derivative of 0 - 5*t**3 + 75/2*t**2 + 10*t + 1/4*t**4. Factor d(z).
3*(z - 5)**2
Let u be (-2)/(-5) + 207/45. Determine y so that y**3 - 6*y**3 - 6*y**3 + 25*y**4 + 35*y - 10*y**2 - 15 - 19*y**3 - 5*y**u = 0.
-1, 1, 3
Find w such that -20*w**2 - 2 - 5*w**3 + 0 + 6 - 4 = 0.
-4, 0
Factor 1/4 - 1/4*h**2 + 0*h.
-(h - 1)*(h + 1)/4
Let b(h) = -8*h**4 - 5*h**3 - 3*h**2. Let m(s) be the third derivative of 3*s**7/70 + s**6/24 + s**5/15 - 15*s**2. Let t(g) = 4*b(g) + 3*m(g). Factor t(u).
-5*u**3*(u + 1)
Let d(m) be the third derivative of -m**8/1512 + 11*m**7/945 - m**6/54 - 53*m**5/135 - 133*m**4/108 - 49*m**3/27 - 38*m**2. Find v such that d(v) = 0.
-1, 7
Let f = 31 + -28. Suppose -2*x - 2*x = 2*r - 6, -r - f*x = -3. Factor -g**r + 0 - 1/4*g + 5/4*g**2.
-g*(g - 1)*(4*g - 1)/4
Suppose 10 = 2*y, 3*c - 5*y + 0*y = -19. Let f(g) be the third derivative of 0*g + 0 + 9/8*g**3 + 1/80*g**5 + 3/16*g**4 - 3*g**c. Factor f(b).
3*(b + 3)**2/4
Let g be (-23)/115*(-10)/3. Let y(i) be the first derivative of -2 + 0*i + 5/4*i**4 + 4/5*i**5 + g*i**3 + 0*i**2 + 1/6*i**6. Factor y(j).
j**2*(j + 1)**2*(j + 2)
Let c(y) be the first derivative of 2*y**7/21 + 2*y**6/5 + 3*y**5/5 + y**4/3 + y + 11. Let w(z) be the first derivative of c(z). Factor w(t).
4*t**2*(t + 1)**3
Let j(q) be the third derivative of -21*q**6/40 - 2*q**5 - 17*q**4/8 + q**3 + q**2 - 40*q. Solve j(m) = 0 for m.
-1, 2/21
Let a = 20 - 20. Let q be 3 - 1*2/(-2). Let -3*y - 6*y**2 + 5*y**4 + 0*y**q + a*y**4 + y**4 + 3*y**5 = 0. Calculate y.
-1, 0, 1
Let m(t) be the first derivative of t**6/1980 + t**5/660 - t**4/22 + 3*t**3 + 8. Let a(k) be the third derivative of m(k). Suppose a(v) = 0. What is v?
-3, 2
Let n = -119 + 123. Factor -2*z**4 + 11*z**5 + 0*z**n - 26*z**5 + 16*z**5.
z**4*(z - 2)
Let a = -1/6 + 7/30. Let k(i) be the third derivative of 3*i**2 - 7/60*i**5 - a*i**6 - 1/12*i**4 - 1/70*i**7 + 0*i**3 + 0*i + 0. Factor k(c).
-c*(c + 1)**2*(3*c + 2)
Let t be (-832)/(-96) - ((-7)/3 - -1). Let h be (32/(-40))/((-4)/t). Factor 36/7*z + 8/7 + 27/7*z**3 + 54/7*z**h.
(3*z + 2)**3/7
Factor 2/11*n**4 + 0 + 6/11*n**2 + 6/11*n**3 + 2/11*n.
2*n*(n + 1)**3/11
Let z(q) be the second derivative of -2*q**6/45 - q**5/15 + q**4/9 + 2*q**3/9 - q. Find j such that z(j) = 0.
-1, 0, 1
Find l, given that -596*l**2 + 329*l**2 - 344*l + 295*l**2 + 96 = 0.
2/7, 12
Let m(u) = -4*u**5 + 8*u**3 - 4*u**2 + 4*u. Let n(q) = -10*q**2 + 8*q**5 + 17*q**2 - 15*q**3 - 9*q + 0*q**3. Let l(x) = 9*m(x) + 4*n(x). Solve l(h) = 0.
-2, 0, 1
Suppose -9*l - l + 13*l = 0. Let d(f) be the second derivative of 0*f**5 + l*f**2 + 0 + 1/3*f**3 - 1/4*f**4 + f + 1/30*f**6. Factor d(v).
v*(v - 1)**2*(v + 2)
Suppose -89 = -30*p - 29. Let c(v) be the first derivative of 0*v**p - 2 + 3/5*v**5 + 3/2*v**4 + v**3 + 0*v. Let c(g) = 0. Calculate g.
-1, 0
Let f(u) be the second derivative of u**7/168 - 13*u**5/80 + u**4/3 + u**3/2 - 2*u**2 - 58*u. Let f(n) = 0. What is n?
-4, -1, 1, 2
Let j(v) be the first derivative of -21/17*v**2 - 1/34*v**4 - 36/17*v - 25 - 16/51*v**3. Factor j(l).
-2*(l + 2)*(l + 3)**2/17
Suppose 7*c = 30 + 61. Suppose -c*n + 25 + 27 = 0. Factor 0 + 2/7*l + 11/7*l**2 + 3*l**3 + 17/7*l**n + 5/7*l**5.
l*(l + 1)**3*(5*l + 2)/7
Factor 6 + 20*o - 5*o**2 + 10*o**2 - 22 - 4*o**3 - 4*o**3 - 2*o**4 + o**2.
-2*(o - 1)**2*(o + 2)*(o + 4)
Let a(p) be the second derivative of -p**4/126 - 25*p**3/63 - 46*p**2/21 + 214*p. Solve a(h) = 0.
-23, -2
Factor -2/5 + 0*f + 2/5*f**2.
2*(f - 1)*(f + 1)/5
Let y(h) be the second derivative of -h**4/42 - 5*h**3/21 - 6*h**2/7 - 30*h. Factor y(d).
-2*(d + 2)*(d + 3)/7
Let q(l) be the first derivative of -l**7/21 - 8*l**6/15 - 9*l**5/5 + 9*l**3 - 22*l - 19. Let b(n) be the first derivative of q(n). Factor b(p).
-2*p*(p - 1)*(p + 3)**3
Let x be (-8)/(-5)*11/(35 - 13). Factor -4/5*a + x + 1/5*a**2.
(a - 2)**2/5
Suppose -10 + 20*s + 1 - 4*s**3 - 4*s**2 - 3 = 0. Calculate s.
-3, 1
Let a = 105 + -101. Suppose 5*i + 5*h - 35 = 0, 0*h + 3*h - 15 = -i. Suppose 0*k**2 + 8/7*k**i - 4/7*k**a - 8/7*k + 4/7 = 0. What is k?
-1, 1
Let p(x) be the third derivative of -x**8/1176 + 2*x**7/245 - x**6/105 - x**5/35 + 5*x**4/84 - 4*x**2 - 13. Suppose p(g) = 0. Calculate g.
-1, 0, 1, 5
Let y(u) be the third derivative of u**8/252 - 2*u**7/315 - u**6/5 + 52*u**5/45 - 20*u**4/9 - 67*u**2. What is t in y(t) = 0?
-5, 0, 2
Let m(p) be the second derivative of -3/2*p**3 - 2*p + 3/10*p**5 - 1/2*p**4 + 1/14*p**7 + 3/10*p**6 - 3/2*p**2 + 0. Factor m(d).
3*(d - 1)*(d + 1)**4
Let s(r) = r**2 + r - 18. Let w be s(4). Let b(u) be the second derivative of 2/3*u**3 + 1/12*u**4 + 2*u**2 + w*u + 0. Find f such that b(f) = 0.
-2
Let w(q) be the third derivative of q**5/12 + 35*q**4/12 + 20*q**3 + 6*q**2 - 2*q. Factor w(i).
5*(i + 2)*(i + 12)
Let u(i) = -i**2 + i + 26. Let d be u(6). Let b be d/10 - ((-12)/15)/1. Factor -2/5 + b*m**2 - 2/5*m**3 + 2/5*m.
-2*(m - 1)**2*(m + 1)/5
Let v be 0 - (-62)/(-155) - (-26)/40. Suppose -v*l**3 + 0*l**2 + l**4 + 0*l + 0 = 0. Calculate l.
0, 1/4
Let m(q) = -2*q**4 + 12*q**3 + 20*q**2 - 2*q - 4. Let n(a) = -4*a**4 + 22*a**3 + 41*a**2 - 5*a - 10. Let k(t) = -5*m(t) + 2*n(t). Solve k(f) = 0 for f.
-1, 0, 9
Let o(l) be the third derivative of 0 + 5/39*l**3 - 2/195*l**5 + 0*l + 12*l**2 - 19/156*l**4. Determine z so that o(z) = 0.
-5, 1/4
Let w(k) be the third derivative of -1/7*k**4 - 1/420*k**6 + 15*k**2 + 0 + 8/21*k**3 + 1/35*k**5 + 0*k. Factor w(q).
-2*(q - 2)**3/7
Let u(o) = -o**2 + 5*o + 3. Let m be u(5). Suppose 0*z + 5 = m*y - z, 0 = 4*z - 16. Let -2*h**2 - 7*h - h**2 - y*h - 3 + 16*h = 0. Calculate h.
1
Factor -4/5*j**3 + 4 + 4/5*j - 4*j**2.
-4*(j - 1)*(j + 1)*(j + 5)/5
Suppose 2/13*f**2 - 18/13*f + 36/13 = 0. What is f?
3, 6
Suppose -123*j**2 + 4536*j**3 - 6*j**5 - 9*j**2 + 86*j - 4456*j**3 - 8*j**4 - 20 = 0. What is j?
-5, 2/3, 1
Let -14*l**3 + 6*l - 160*l**2 + 36 - 3*l**3 - 16*l - 33*l**3 - 8*l = 0. Calculate l.
-3, -3/5, 2/5
Let o be 102*(213/(-70) + 8/20). Let g = o - -271. Factor 2/7*h**2 + 8/7 + g*h.
2*(h + 1)*(h + 4)/7
Let c(q) be the third derivative of q**5/100 + q**4/40 - 3*q**3/5 - 53*q**2. Factor c(s).
3*(s - 2)*(s + 3)/5
Let o(t) be the first derivative of -t**8/15960 + t**7/7980 - 12*t**3 + 8. Let l(f) be the third derivative of o(f). Solve l(q) = 0.
0, 1
Let 6 - 20*l + 0 - 18*l**3 - 15*l**3 - 6 - 44*l**2 - l**5 - 10*l**4 = 0. Calculate l.
-5, -2, -1, 0
Let x(m) = -7*m - 2 + 2 - 5*m**2 - 6. Let f(h) = -6*h - 5 + 14*h**2 - 22*h**2 - 3*h**2 + 7*h**2. Let z(c) = -6*f(c) + 5*x(c). Suppose z(p) = 0. Calculate p.
0, 1
Let d(x) = x + x - 3*x + 0*x + 11. Let c be d(8). Let 4*a**3 - 2*a - 9*a**c + 4*a**3 - a**3 - 4*a**2 = 0. What is a?
-1, 0
Let y be ((-5)/((-25)/15))/1. Let t be y/(-2) - (-361)/190. Factor 8/5*u**3 - 18/5 - t*u**4 + 4/5*u**2 - 24/5*u.
-2*(u - 3)**2*(u + 1)**2/5
Factor 5/2*u**2 + 0 - 15/2*u**3 - 5/2*u**4 + 15/2*u.
-5*u*(u - 1)*(u + 1)*(u + 3)/2
Let g be (3 - (-219)/(-72))/(-2). Let l(a) be the third derivative of g*a**4 - 1/240*a**5 + 0 - 4*a**2 + 0*a**3 + 0*a. Factor l(t).
-t*(t - 2)/4
Let r(u) be the first derivative of 1/15*u**6 + 2/5*u**2 - 3/10*u**4 + 2/15*u**3 + 20 - 2/25*u**5 + 0*u. Let r(f) = 0. What is f?
-1, 0, 1, 2
Suppose -14/3*f**2 - 10/3 - 2/3*f**3 - 22/3*f = 0. What is f?
-5, -1
Let x be -1 - -8 - 4/(3/3). Suppose 2*r = -3*s, r - x*s + 0 - 9 = 0. Find a, given that 0 - 1/2*a**r + 0*a - 1/4*a**4 - 1/4*a**2 = 0.
-1, 0
Let t be (-1)/4*-2 - (-77)/22. Let g(d) be the first derivative of -1/14*d**t - 2/7*d**2 - 2 + 0*d - 2/7*d**3. Determine n so that g(n) = 0.
-2, -1, 0
Let u(r) be the third derivative of -r**5/600 - 13*r**4/48 - 