 - 33/8*n + 15/8 + 3/8*n**5 + 3/4*n**2 = 0.
-1, 1, 5
Let d = -30160/3 - -10054. Factor -2/3 + 0*q + d*q**2.
2*(q - 1)*(q + 1)/3
Let g(s) be the first derivative of 26 - 1/8*s**2 - 1/6*s**3 + 1/20*s**5 + 1/4*s - 1/24*s**6 + 1/8*s**4. Factor g(m).
-(m - 1)**3*(m + 1)**2/4
Let z(k) be the second derivative of k**5/80 - 53*k**4/48 + 225*k**3/8 + 729*k**2/8 - 250*k. Solve z(q) = 0.
-1, 27
Solve -6/11*k**2 - 26/11*k + 2/11*k**4 + 10/11*k**3 + 20/11 = 0.
-5, -2, 1
Let c(k) be the first derivative of k**5/5 - 2*k**3/3 + k + 9. Solve c(r) = 0 for r.
-1, 1
Let s(t) be the second derivative of -5*t**7/42 + 16*t**6/3 - 45*t**5/2 + 110*t**4/3 - 145*t**3/6 + 381*t. Determine q so that s(q) = 0.
0, 1, 29
Let k(w) be the first derivative of -4*w**3/21 + 60*w**2/7 - 900*w/7 - 150. Solve k(g) = 0.
15
Let o(z) be the third derivative of -z**6/360 + z**5/180 + z**4/18 - 2*z**3/9 - 49*z**2. Factor o(d).
-(d - 2)*(d - 1)*(d + 2)/3
Let q(s) = 7*s**2 - 22*s + 5. Let p(y) = 8*y**2 - 22*y + 6. Let l(r) = -5*p(r) + 6*q(r). Let l(m) = 0. Calculate m.
0, 11
Let r(i) be the third derivative of -i**6/210 - 2*i**5/35 - 3*i**4/14 - 8*i**3/21 + 15*i**2 - 2*i. Solve r(v) = 0 for v.
-4, -1
Let n(q) = q - 20. Let z be n(20). Let i(l) be the third derivative of z - 3/2*l**3 + 0*l + 3/20*l**5 + l**4 - 4*l**2. Suppose i(h) = 0. What is h?
-3, 1/3
Let a(r) be the first derivative of 4*r**5/5 - r**4 + 362. Suppose a(f) = 0. Calculate f.
0, 1
Let 0*q - 42 - 3*q**2 + 33 - 15*q + 3*q**3 = 0. What is q?
-1, 3
Let b(f) = 3*f**4 + 6*f**3 + 20*f**2 + 18*f + 7. Let r(q) = 10*q**4 + 17*q**3 + 61*q**2 + 55*q + 22. Let l(h) = -7*b(h) + 2*r(h). Factor l(n).
-(n + 1)**3*(n + 5)
Let h(k) be the third derivative of 0*k + 0*k**3 + 0 + 3/110*k**5 - 1/66*k**4 + 2*k**2 - 7/660*k**6. Factor h(y).
-2*y*(y - 1)*(7*y - 2)/11
Let g(c) = -2*c + 12. Let f be g(5). Factor -4*v - 15*v**2 - 6*v**3 - 5*v + 2*v**f - 2.
-(v + 1)*(2*v + 1)*(3*v + 2)
Let n(o) be the third derivative of o**5/420 - 5*o**4/168 + 2*o**3/21 + 74*o**2. Factor n(l).
(l - 4)*(l - 1)/7
Let k(f) be the second derivative of 1/78*f**4 + 0*f**5 - 1/195*f**6 + 0 + 0*f**3 + 0*f**2 + 34*f. Factor k(u).
-2*u**2*(u - 1)*(u + 1)/13
Let k(z) = -3*z**5 - 11*z**4 - 9*z**3 + 37*z**2 + 2*z - 21. Let v(t) = t**5 + 6*t**4 + 4*t**3 - 18*t**2 - t + 10. Let b(l) = 2*k(l) + 5*v(l). Factor b(q).
-(q - 8)*(q - 1)**2*(q + 1)**2
Let t(o) be the first derivative of -3 + 3/40*o**5 + 1/12*o**3 - 1/8*o**4 + 5*o - 1/60*o**6 + 0*o**2. Let m(s) be the first derivative of t(s). Factor m(w).
-w*(w - 1)**3/2
Let i be 2520/567*6/5. Solve 17/3*n - 40/3*n**2 - 2/3 + i*n**3 = 0.
1/4, 2
Let q = -170175/173 - -984. Let x = 2/519 + q. Factor 0*p**2 + x*p**3 + 0 - 1/3*p.
p*(p - 1)*(p + 1)/3
Suppose 6*o = o + 5. Let a be 6 - (o - 0 - 0). Find j such that -3*j + 4*j + 8*j**2 + a*j**3 - 2*j**2 + 4*j**3 = 0.
-1/3, 0
Suppose s = -r - r - 6, 6 = s - 2*r. Let j be 6/12*(6 + s). Find x, given that -39*x**2 - 4*x**4 + 18*x**j - 12 - x**4 + 36*x + 2*x**4 = 0.
1, 2
Let v(w) = -3*w**2 + 12*w - 3. Let h(b) = b**2 + b + 1. Let x(f) = -f**3 - 8*f**2 + 21*f + 9. Let m be x(-10). Let o(d) = m*v(d) + 2*h(d). Factor o(r).
5*(r - 1)**2
Let a(v) be the third derivative of 0 + 1/3*v**3 + 47*v**2 + 1/20*v**5 + 0*v + 1/240*v**6 + 3/16*v**4. Factor a(z).
(z + 1)**2*(z + 4)/2
Let t = 481/2148 - -14/537. Solve 1/2*d + t*d**2 - 3/4 = 0.
-3, 1
Let i(p) be the second derivative of -1/15*p**5 + 10*p + 2/63*p**7 + 0*p**6 + 0*p**3 + 0*p**2 + 0 + 0*p**4. Find s, given that i(s) = 0.
-1, 0, 1
Let f(o) be the first derivative of -16 - 40/3*o**3 - o**5 - 15/2*o**4 + 0*o**2 + 0*o. What is x in f(x) = 0?
-4, -2, 0
Let a = 8 - 5. Let z(t) = -a*t**2 + 1 - 36*t - 2 + 40*t. Let q(c) = 16*c**2 - 21*c + 5. Let u(s) = -2*q(s) - 11*z(s). Factor u(l).
(l - 1)**2
Let b(s) = -3*s**2 + 77*s + 13. Let j(i) = i**2 - 32*i - 7. Let u(z) = 2*b(z) + 5*j(z). Factor u(p).
-(p + 3)**2
Let o(u) be the first derivative of 2*u**3/63 - 2*u**2/21 - 2*u/7 + 7. Suppose o(w) = 0. Calculate w.
-1, 3
Suppose b + f = 15 + 5, 5 = 2*b - 5*f. Let -30*y**3 - b*y**2 + 3*y + 8*y**4 + 3*y - 33*y**3 - 65*y**4 - 15*y**5 = 0. What is y?
-2, -1, 0, 1/5
Let a(g) be the first derivative of 2*g**5/5 + 14*g**4 + 488*g**3/3 + 672*g**2 + 1152*g - 112. Find d, given that a(d) = 0.
-12, -2
Factor 107*n + 20*n**3 - 21*n**2 + 24*n**2 - 32 + 89*n**2 - 67*n.
4*(n + 1)*(n + 4)*(5*n - 2)
Let o(k) = -3*k**3 - 5*k**2 + 15*k + 9. Let i(r) = r**3 + 2*r**2 - 5*r - 3. Let d(n) = 8*i(n) + 3*o(n). Factor d(f).
-(f - 3)*(f + 1)**2
Let m(u) = 54*u - 62*u - 52 + 36. Let n be m(-2). Factor 1/3*b - 1/6*b**2 + n.
-b*(b - 2)/6
Let q(m) be the second derivative of 1/42*m**7 - 1/5*m**5 - 1/6*m**4 - 4*m + 1/2*m**3 + 0*m**6 + m**2 + 0. What is c in q(c) = 0?
-1, 1, 2
Let p(h) = -3 - 6*h**2 - 3*h + 4*h + 2*h. Let t(f) = 5*f**2 - 3*f + 4. Let q be 2*(-15)/(-12)*(-24)/(-20). Let y(k) = q*t(k) + 4*p(k). Factor y(u).
-3*u*(3*u - 1)
Factor 0*i - 32/9*i**5 - 2/9*i**3 + 0*i**2 + 16/9*i**4 + 0.
-2*i**3*(4*i - 1)**2/9
Suppose 0 = 5*j + 3*g - 43, -54*j + 50*j + 2*g + 8 = 0. Solve -1/6 - 5/6*q**4 - 1/6*q**j - 5/3*q**2 - 5/3*q**3 - 5/6*q = 0 for q.
-1
Let j = 48 - 45. Suppose -j = y, 3*q + 2*y = 4*q - 9. Factor q*l**2 - 3/2*l**3 - 3 + 3/2*l.
-3*(l - 2)*(l - 1)*(l + 1)/2
Let h(d) = d - 5. Let c(s) = -4*s**2 + 3*s + 57. Let u(v) = -c(v) - 5*h(v). What is w in u(w) = 0?
-2, 4
Let c(i) be the first derivative of -i**4/24 - i**3/9 + 31*i**2/12 - 14*i/3 + 114. Factor c(b).
-(b - 4)*(b - 1)*(b + 7)/6
Let i(w) be the first derivative of 4*w**5/5 - 3*w**4 - 68*w**3/3 + 78*w**2 - 80*w + 170. Factor i(o).
4*(o - 5)*(o - 1)**2*(o + 4)
Let -417*i + 677*i + 55*i**2 - 51*i**2 - 264 = 0. Calculate i.
-66, 1
Let p = 357/110 - 151/55. Factor -3/2*n**2 - p*n + 1/2*n**3 + 3/2.
(n - 3)*(n - 1)*(n + 1)/2
Let y = -627/14 + 317/7. Solve 1 + y*p**2 - 11/6*p = 0.
2/3, 3
Let r(q) = -8*q**3 - 5*q**2 + 4*q - 1. Let g(m) = 3*m**3 + 3*m**2 - 3*m + 1. Let p(i) = 5*g(i) + 2*r(i). What is x in p(x) = 0?
1, 3
Let b(i) be the first derivative of 4/27*i**3 + 12 + 2/45*i**5 + 0*i + 0*i**2 - 1/6*i**4. Suppose b(g) = 0. What is g?
0, 1, 2
What is w in 170/3*w**2 + 35/2*w**5 - 1150/3*w**3 + 0 + 1535/6*w**4 + 160/3*w = 0?
-16, -2/7, 0, 2/3, 1
Let w(d) be the third derivative of d**8/672 - 11*d**7/420 + 11*d**6/80 - d**5/24 - 25*d**4/24 + 3*d**2 + 19. Find x, given that w(x) = 0.
-1, 0, 2, 5
Let l(c) be the third derivative of -c**8/896 + 3*c**7/560 + 3*c**6/320 - 7*c**5/160 - 3*c**4/32 + 115*c**2. What is k in l(k) = 0?
-1, 0, 2, 3
Let b(a) be the third derivative of -a**6/90 - 37*a**5/60 + 2*a**4 - 29*a**3/18 - 2*a**2 + 128*a. Factor b(o).
-(o - 1)*(o + 29)*(4*o - 1)/3
Let i(m) = m**3 - 5*m**2 + 4*m + 3. Let z(k) = -8 - 2*k**2 - 6*k**3 + 18*k**2 + 2*k**3 - 12*k. Let x = -281 + 278. Let a(c) = x*z(c) - 8*i(c). Solve a(v) = 0.
0, 1
Let f(l) be the third derivative of -l**5/15 - 5*l**4/6 - 4*l**3 - 87*l**2. Factor f(d).
-4*(d + 2)*(d + 3)
Let h(d) be the first derivative of 16*d - 12 + 6*d**2 - 4/3*d**3. Factor h(o).
-4*(o - 4)*(o + 1)
Let s(t) be the first derivative of 1/12*t**6 - 1/18*t**3 - 18 - 1/8*t**4 + 0*t**2 + 1/30*t**5 + 0*t. Determine n, given that s(n) = 0.
-1, -1/3, 0, 1
Suppose 2*x = -0*y + 4*y - 26, -5*y = 4*x. Let p be 2*2 - (y - 6/2). Determine f so that -3/4*f**2 + p*f - 3 = 0.
2
Let g(z) be the second derivative of -z**6/180 - z**5/30 - z**4/24 - 15*z + 2. Suppose g(v) = 0. What is v?
-3, -1, 0
Let j(b) be the third derivative of 0 + 0*b**4 + 1/10*b**5 - 3/40*b**6 - 15*b**2 + 0*b**7 + 0*b + 0*b**3 + 1/112*b**8. Factor j(t).
3*t**2*(t - 1)**2*(t + 2)
Factor 2/3*s**3 - 4/3 - 8/3*s**2 + 10/3*s.
2*(s - 2)*(s - 1)**2/3
Let m = -12 + 24. Suppose -m*x + 34*x = 20*x. Let 1/3*q**3 + 0*q**2 + 0*q + x = 0. What is q?
0
Let o = -32442 + 64887/2. Factor -21/2*x**2 + 0 + 11/4*x**3 + 49/8*x + o*x**4 + 1/8*x**5.
x*(x - 1)**2*(x + 7)**2/8
Let o be (-231)/(-15) + (-2)/5. Let z(i) = i**2 - 15*i + 3. Let v be z(o). Suppose 0*r**v + 1/2*r**4 + 0 - 3/2*r**2 + r = 0. What is r?
-2, 0, 1
Let i be 6/4*88/6. Let a = -20 + i. Factor -2/7*m + 0 + 2/7*m**a.
2*m*(m - 1)/7
Suppose -3*h + 4 + 5 = -5*k, 10 = -2*h - 2*k. Let f be h - 0 - (-4)/1. Factor -3*n**f + 3*n + n - 4*n.
-3*n**2
Suppose -4*l + 0*j = j - 12, 4*l - 20 = -3*j. Suppose 0*c**3 + 5*c**l + 4*c**3 -