olve -n*h**2 - 4/7 + 10/7*h = 0.
1/2, 2
Let z(c) be the third derivative of -c**8/56 + 17*c**7/210 - c**6/8 + c**5/20 + c**4/24 - 2*c**2 + 45. Factor z(h).
-h*(h - 1)**3*(6*h + 1)
Let t(i) be the first derivative of 3*i**5/100 + i**4/10 + i**3/10 - 14*i + 12. Let p(b) be the first derivative of t(b). Suppose p(c) = 0. What is c?
-1, 0
Let l(b) = 2*b + 7 - 3*b + 3. Let c be l(8). Let 4*j + 0*j**2 - 3*j**2 + 2*j**c + 3*j**2 = 0. Calculate j.
-2, 0
Let p(o) be the third derivative of -o**6/168 - 13*o**5/420 + o**4/28 - 2*o**2 + 46*o. Factor p(s).
-s*(s + 3)*(5*s - 2)/7
Let w = 61 - 53. Determine o, given that 5*o**4 + 7*o**5 - 45*o**4 + w + 3*o + o + 49*o**3 + 30*o**3 - 58*o**2 = 0.
-2/7, 1, 2
Let j(g) be the first derivative of -g**4/2 + 3*g**3/4 - g**2/8 - 883. Factor j(s).
-s*(s - 1)*(8*s - 1)/4
Let l(j) = 10*j - 10. Let y(q) = -2*q**2 + 33*q - 34. Let u(v) = 5*v**2 - 67*v + 69. Let f(w) = 3*u(w) + 7*y(w). Let t(s) = -2*f(s) + 7*l(s). Factor t(h).
-2*(h - 4)*(h - 1)
Let x be (-2)/29 + 752/812. Find v such that 9/7*v**2 - 3/7*v**4 + x*v**3 - 12/7 - 12/7*v = 0.
-1, 2
Let w(n) = -n**2 + 55*n - 724. Let k be w(22). Determine o so that 4/3*o + 4/3 + 1/3*o**k = 0.
-2
Let c(r) = 2*r - 2. Let v be c(2). Factor -v*m**4 + 4*m**2 - 20*m**2 + 5*m + 10*m**3 + 3*m.
-2*m*(m - 2)**2*(m - 1)
Let k be (6/(-3) - 16)/((-1512)/144). Factor -3/7*u**4 - k*u - 18/7*u**2 - 3/7 - 12/7*u**3.
-3*(u + 1)**4/7
Factor 36 - 27/2*j**3 - 186*j + 111*j**2.
-3*(j - 6)*(j - 2)*(9*j - 2)/2
Let r(o) be the first derivative of 14 - 1/42*o**7 + 1/15*o**6 + 0*o**5 + 0*o**4 - 8*o + 0*o**3 + 0*o**2. Let c(l) be the first derivative of r(l). Factor c(h).
-h**4*(h - 2)
Let o(y) be the first derivative of 10*y**2 - 3*y**3 - 17 - 9/2*y**4 + 12*y - y**5. Factor o(x).
-(x - 1)*(x + 2)**2*(5*x + 3)
Let u = -68963/3 + 22989. Factor -1/3*o**2 - u + 5/3*o.
-(o - 4)*(o - 1)/3
Suppose 0 = -2*b + 11 - 49. Let f = -15 - b. Factor -6*i**3 + 13*i + i**f - 2*i**2 - 20*i + 4 - 3*i**4 + 13*i.
-2*(i - 1)*(i + 1)**2*(i + 2)
Let q = -345 + 347. Let a(h) be the third derivative of 6*h**q + 1/20*h**5 + 0 - 2/15*h**3 + 0*h + 1/10*h**4 + 1/150*h**6. Factor a(p).
(p + 2)**2*(4*p - 1)/5
Let m(b) be the third derivative of -37*b**6/40 - 56*b**5/5 - 197*b**4/8 - 5*b**3 - 674*b**2. Factor m(n).
-3*(n + 1)*(n + 5)*(37*n + 2)
Let d(i) be the first derivative of -4/3*i**3 + 0*i + 0*i**2 + 1. Let d(b) = 0. Calculate b.
0
Suppose 0 = 3*j - 5*f + 814 - 823, -5*j + 15 = -2*f. Factor 8/3*a - 32/3*a**j + 0 - 4/3*a**2 - 20/3*a**4.
-4*a*(a + 1)**2*(5*a - 2)/3
Let g(f) be the first derivative of -5*f**3/3 + 5*f**2/2 + 10*f - 59. Suppose g(c) = 0. Calculate c.
-1, 2
Factor -7/5*l**3 - 4*l - 1/5*l**4 - 18/5*l**2 - 8/5.
-(l + 1)*(l + 2)**3/5
What is p in -60/7*p + 0 - 1/7*p**4 - 64/7*p**2 - 19/7*p**3 = 0?
-15, -2, 0
Let c(r) be the third derivative of 49/24*r**6 - 7/4*r**5 - 10/3*r**3 + 0*r + 0 - 5*r**4 + 14*r**2. Factor c(z).
5*(z - 1)*(7*z + 2)**2
Suppose 0 = -3*t - 3*o + 237, 0*t + 4*o = 3*t - 202. Determine r so that -r**5 - 6*r**3 - 74*r - 9*r**4 - 2*r**5 + t*r = 0.
-2, -1, 0
Suppose 471/4 - 237/2*t + 3/4*t**2 = 0. Calculate t.
1, 157
Let c = -4522 + 4522. What is o in c*o**2 + 0 + 5/2*o**3 - 5/2*o = 0?
-1, 0, 1
Solve -3/2*c**4 + 21*c + 24*c**3 - 87/2*c**2 + 0 = 0 for c.
0, 1, 14
Solve 57*p - 21*p**2 + 354*p**3 - 24 + 359*p**3 - 710*p**3 - 15*p = 0 for p.
1, 2, 4
Let q(b) be the first derivative of b**6/20 + b**5/40 - b**4/8 - b**3/12 - 11*b + 14. Let i(z) be the first derivative of q(z). Factor i(c).
c*(c - 1)*(c + 1)*(3*c + 1)/2
Factor -3/2*f**4 + 0 + 9/2*f**3 - 9/2*f**2 + 3/2*f.
-3*f*(f - 1)**3/2
Suppose 0 = -6*q + 3*q + 2*j + 3, 4*q - 9 = j. Let s(k) be the first derivative of -3/4*k**4 + 0*k + 3/2*k**2 + 3/5*k**5 - k**q + 7. Factor s(w).
3*w*(w - 1)**2*(w + 1)
Let b(v) be the first derivative of -v**7/42 - v**6/8 + 5*v**4/6 - 6*v**2 + 9. Let q(o) be the second derivative of b(o). Let q(j) = 0. Calculate j.
-2, 0, 1
Let c(k) be the third derivative of 0*k - 1/8*k**4 + 5*k**2 + 1/20*k**5 + 0 + 0*k**3. Factor c(n).
3*n*(n - 1)
Let i(v) be the second derivative of 3*v**5/80 + 15*v**4/2 + 600*v**3 + 24000*v**2 + 247*v. Let i(h) = 0. What is h?
-40
Let n = 29572/5685 - 2/1137. Suppose 4*j - n*j**2 + 8/5 + 7/5*j**3 = 0. Calculate j.
-2/7, 2
Let y(f) be the first derivative of -f**7/315 - f**6/30 - 13*f**5/90 - f**4/3 - 4*f**3/9 - 11*f**2 + 20. Let o(g) be the second derivative of y(g). Factor o(j).
-2*(j + 1)**2*(j + 2)**2/3
Let l(n) = 3*n**2 - 27*n - 34. Let q(t) = 3*t**2 - 27*t - 36. Let i(x) = -3*l(x) + 2*q(x). Determine k, given that i(k) = 0.
-1, 10
Factor 13*n + 4*n**3 - 3*n - 20 - 2*n**3 - 48*n - 16*n**2.
2*(n - 10)*(n + 1)**2
Let 4*l**4 - 171 + 27*l**3 + 36*l**2 + 21 + 3*l**2 - l**4 - 135*l = 0. What is l?
-5, -1, 2
Let r(d) = 4*d**4 - d**3 - d**2 - 3*d - 1. Let h(s) = -100*s**4 + 232*s**3 - 272*s**2 + 88*s + 92. Let m(v) = -h(v) - 20*r(v). Factor m(o).
4*(o - 9)*(o - 1)**2*(5*o + 2)
Let f(u) be the third derivative of u**7/42 + 7*u**6/3 + 171*u**5/2 + 3610*u**4/3 - 34295*u**3/6 + u**2. What is d in f(d) = 0?
-19, 1
Let r(x) be the second derivative of -2/135*x**6 - 20*x + 5/27*x**3 + 7/90*x**5 - 1/9*x**2 - 1/6*x**4 + 0. Find s, given that r(s) = 0.
1/2, 1
Let -152/17*g**2 - 64/17*g + 128/17 - 56/17*g**3 - 6/17*g**4 = 0. What is g?
-4, -2, 2/3
Suppose -5*v + 14 = -2*v + 2*j, -32 = -5*v + j. Suppose 0 = -v*a + 8*a - u - 9, 5*u = 5*a - 35. Factor -2 - 1/2*b + 1/2*b**3 + 2*b**a.
(b - 1)*(b + 1)*(b + 4)/2
Let x(p) be the second derivative of -p**6/6 + 7*p**5 - 185*p**4/2 + 910*p**3/3 - 845*p**2/2 - 11*p + 2. Factor x(t).
-5*(t - 13)**2*(t - 1)**2
Suppose -58*r = -39*r - 57. Let h(v) be the second derivative of 0*v**2 + 2*v + 0 + 3/130*v**5 + 0*v**r + 1/39*v**4 - 2/195*v**6. Suppose h(u) = 0. What is u?
-1/2, 0, 2
Suppose -12*u + 126 = 30. Let o be 3/(-4) - (-10)/u. Factor 1/6*s**3 + 1/6 + o*s + 1/2*s**2.
(s + 1)**3/6
Factor -13/2*p**3 - 1/2*p**2 + 13/2*p + 1/2*p**4 + 0.
p*(p - 13)*(p - 1)*(p + 1)/2
Suppose h - 10 = -4*j, -3*h = 5*j - 0*h - 9. What is a in -1/3*a**5 - a**4 + 2/3*a**2 - 2/3*a**j + 1/3 + a = 0?
-1, 1
Let d = -778 - -1203. Factor -62*h + 62 - 4*h - d - 3*h**2.
-3*(h + 11)**2
Let x(m) = -8*m**4 + 4*m**3 + 8*m**2 - 8*m + 2. Let p(u) = u**5 + 8*u**4 - 3*u**3 - 8*u**2 + 8*u - 3. Let b(k) = 2*p(k) + 3*x(k). Find d such that b(d) = 0.
-1, 0, 1, 2
Let h(o) be the third derivative of -11*o**7/630 + o**6/40 + o**5/90 - 26*o**2 + 2*o. Solve h(v) = 0 for v.
-2/11, 0, 1
Let u be 7 - 5 - -2*1. Let p be 0 + u + -2 - -2. Determine z, given that -4 + 6*z**4 - 11*z**3 + 9*z**2 - p*z**3 + 1 + 3*z = 0.
-1/2, 1
Let n(k) be the third derivative of 0*k**3 + 0*k + 0*k**4 + 0 + 57*k**2 - 1/30*k**5. Factor n(b).
-2*b**2
Let q(y) be the third derivative of y**8/20160 - y**6/720 - 2*y**5/15 - 18*y**2. Let d(x) be the third derivative of q(x). Factor d(a).
(a - 1)*(a + 1)
Let l(c) = 7*c**3 - 4*c**2 - 40*c - 32. Let n(k) = 36*k**3 - 20*k**2 - 200*k - 160. Let i(s) = 16*l(s) - 3*n(s). Find h such that i(h) = 0.
-2, -1, 4
Factor 0 + 3/8*w**3 + 21/2*w - 33/8*w**2.
3*w*(w - 7)*(w - 4)/8
Let c(k) be the second derivative of 0 - 14*k - 1/18*k**4 - k**2 + 4/9*k**3. Determine r so that c(r) = 0.
1, 3
Let p be (-2)/10 + 19/(-5). Let h = -2 - p. Find c, given that 7*c**h + 2*c - 3*c**2 - 4 - 6*c**2 + 4*c = 0.
1, 2
Let r(s) be the third derivative of -s**8/2352 + s**7/210 - 3*s**6/140 + 11*s**5/210 - 13*s**4/168 + s**3/14 + 7*s**2 - 11*s. Determine h so that r(h) = 0.
1, 3
Let p(t) = 66*t**2 - 67*t**2 + 3*t - 7 - 4*t. Let o(w) = -1. Let x be (-5 - 2)/((-3)/(-6)). Let k(r) = x*o(r) + 2*p(r). Factor k(a).
-2*a*(a + 1)
Let j(z) be the second derivative of 2*z**7/63 - 2*z**6/45 - 8*z**5/5 + 88*z**4/9 - 224*z**3/9 + 32*z**2 + 27*z - 2. Factor j(m).
4*(m - 2)**3*(m - 1)*(m + 6)/3
Find i, given that 31*i - i**2 - 7*i + 0*i**2 - 2*i**2 = 0.
0, 8
Let d = -1928 + 1976. Factor -d + 328*x + 190*x**3 + 400*x**4 - 1996/3*x**2 + 250/3*x**5.
2*(x + 3)**2*(5*x - 2)**3/3
Let l(s) be the third derivative of -s**6/540 - 7*s**5/135 - 147*s**2. Factor l(c).
-2*c**2*(c + 14)/9
Let u(a) = 5*a**3 + a**2 - 7*a + 1. Let r be u(3). Solve -2*n**4 - 18*n**2 + r*n**3 - 109*n**3 - n**4 = 0.
0, 2, 3
Let t = 24 - 22. Factor 6/5*c**t - 2/5*c - 6/5 + 2/5*c**3.
2*(c - 1)*(c + 1)*(c 