3*j(k). Solve p(c) = 0 for c.
-4, -2, 5
Determine u, given that -5/3*u**5 + 0*u + 0*u**3 + 0 - 20*u**4 + 0*u**2 = 0.
-12, 0
Let j(m) be the third derivative of -m**7/70 + 31*m**6/120 - 37*m**5/60 + 3*m**4/8 - 3*m**2 - 7. Let j(b) = 0. Calculate b.
0, 1/3, 1, 9
Suppose 3*h + 8 = -4. Let v be (-2)/21*(-5 + h + 3). Factor 0*u**2 + 6/7*u - 2/7*u**3 + v.
-2*(u - 2)*(u + 1)**2/7
Let p(i) be the first derivative of -i**5 + 25*i**4/4 - 5*i**3 - 25*i**2/2 + 20*i + 90. Factor p(w).
-5*(w - 4)*(w - 1)**2*(w + 1)
Factor -13*a + 0*a**2 + a - 4*a**2 + 14 + 2*a**2.
-2*(a - 1)*(a + 7)
Let i(v) be the third derivative of -2*v**7/735 + 4*v**6/15 - 838*v**5/105 + 36*v**4 - 486*v**3/7 + 56*v**2 - 1. Factor i(h).
-4*(h - 27)**2*(h - 1)**2/7
Let t(k) be the third derivative of 0*k**3 + 0*k**4 + 0 - 1/140*k**5 + 0*k + 7*k**2 + 1/280*k**6. Factor t(u).
3*u**2*(u - 1)/7
Solve 40/7*f**2 - 24/7*f - 18/7*f**3 + 0 + 2/7*f**4 = 0 for f.
0, 1, 2, 6
Find u such that 578 - 286*u**2 + 68*u - 282*u**2 + 570*u**2 = 0.
-17
Let h be 30/5 - 3 - 1. What is m in 0 - 2/7*m**3 - 2/7*m - 4/7*m**h = 0?
-1, 0
Suppose -3*n - 4*n = -35. Let l(z) be the second derivative of -1/27*z**3 - 5*z + 1/27*z**4 + 0 - 1/189*z**7 - 1/135*z**6 + 1/45*z**n - 1/9*z**2. Factor l(c).
-2*(c - 1)**2*(c + 1)**3/9
Solve -8*n - 2/3*n**2 + 0 = 0.
-12, 0
Suppose 0 = 2*u - 1263*q + 1260*q, -3*u = q - 11. Suppose -3/2*s**2 - 1/2*s**4 + 2 - 2*s**u + 2*s = 0. Calculate s.
-2, -1, 1
Let b(z) be the second derivative of z**4/6 - 11*z**3 + 32*z**2 - 57*z. Factor b(a).
2*(a - 32)*(a - 1)
Let y(z) = -z**3 - 2*z**2 - 5*z - 4. Let j be y(-2). Let b be (j - 4)/(12/18). Solve -2/7*x**4 + 2/7*x**5 - 4/7*x**b - 2/7 + 2/7*x + 4/7*x**2 = 0.
-1, 1
Let u = -630 - -634. Let c(s) be the second derivative of 0 - 3/70*s**7 + 1/20*s**u + 0*s**2 - 3/100*s**5 - 3*s - 1/10*s**6 + 0*s**3. Factor c(z).
-3*z**2*(z + 1)**2*(3*z - 1)/5
Let y = 106 - 102. What is o in 4*o**2 - 23 + 23 + y*o = 0?
-1, 0
Suppose 38*v - 25*v - 37*v = -72. Determine y, given that 1/4*y**v + 3/4*y + 0 - 5/4*y**2 + 1/4*y**4 = 0.
-3, 0, 1
Let d be ((-180)/25)/((-2)/20). Find p, given that 4*p**3 + d*p**4 + 3*p**5 - 66*p**4 - p**3 + 0*p**3 = 0.
-1, 0
Let i be 2 + -2*-1*4/(-4). Let r be (2 - i)/8 + 22/8. Factor 2/7*k**r - 2/7*k**2 + 0 + 0*k.
2*k**2*(k - 1)/7
Let x be ((-36)/(-10 - -4))/8. Let t(c) be the second derivative of 0 + 3/8*c**3 - 3*c - x*c**2 - 1/16*c**4. Factor t(m).
-3*(m - 2)*(m - 1)/4
Let g(a) be the third derivative of 1/105*a**7 + 11*a**2 - 11/60*a**6 + 6/5*a**5 - 4/3*a**4 + 0 + 0*a - 64/3*a**3. Factor g(b).
2*(b - 4)**3*(b + 1)
Let y = -77 + 93. Let z be (y/(-440))/((-1)/15). What is h in -4/11*h - 6/11*h**2 + 0 + 14/11*h**3 + z*h**4 - 10/11*h**5 = 0?
-1, -2/5, 0, 1
Let n = -48 + 50. Let r be 0/n - (0 + 12/(-4)). Factor 54/5*v**r - 2/5 + 18/5*v - 54/5*v**2.
2*(3*v - 1)**3/5
Let i(s) be the first derivative of -13*s**6/33 + 672*s**5/55 - 247*s**4/2 + 14020*s**3/33 - 468*s**2 - 176*s + 309. Let i(y) = 0. What is y?
-2/13, 2, 11
Let o(c) be the third derivative of -c**7/140 + 3*c**6/20 + 7*c**5/20 - 3*c**4/4 - 13*c**3/4 - 57*c**2. Find t, given that o(t) = 0.
-1, 1, 13
Factor 1/6*u**4 - 8/3 - 4/3*u + 4/3*u**3 + 5/2*u**2.
(u - 1)*(u + 1)*(u + 4)**2/6
Let i(u) be the third derivative of -u**8/2352 + u**7/1470 + u**6/420 - u**5/210 - u**4/168 + u**3/42 - 25*u**2. Suppose i(n) = 0. What is n?
-1, 1
Suppose -44*q = -43*q. Let c(a) be the second derivative of 0*a**3 + 1/2*a**2 + 5*a + q - 1/12*a**4. Suppose c(p) = 0. Calculate p.
-1, 1
Solve -8 - 5*n**2 - 7*n + 12 + 11 - 3*n = 0 for n.
-3, 1
Let u(g) be the first derivative of g**5/80 - 3*g**4/16 + 5*g**3/8 + 23*g**2/2 - 35. Let r(a) be the second derivative of u(a). Suppose r(f) = 0. Calculate f.
1, 5
Let k(c) = 3*c**2 + 17*c - 2. Let m(b) = 14*b**2 + 85*b - 14. Let t(d) = 33*k(d) - 6*m(d). What is u in t(u) = 0?
-3, -2/5
Let y be (-186)/14 + (-4)/(-14). Let b(g) = 23 - 2 + 17 - 9*g**2 + 12*g - 71. Let n(o) = -19*o**2 + 23*o - 67. Let w(k) = y*b(k) + 6*n(k). Factor w(x).
3*(x - 3)**2
Let a(k) = -15*k**2 + 41*k - 10. Let d be (-27)/36 - (-11)/4. Let l(w) = -29 - 20*w + 7*w**d - 21 + 55. Let f(v) = -4*a(v) - 9*l(v). Factor f(h).
-(h - 5)*(3*h - 1)
Suppose -1/3*j**3 - j**2 + 4/3*j + 0 = 0. What is j?
-4, 0, 1
Let d(f) be the third derivative of f**5/270 - 10*f**4/27 + 13*f**3/9 + 2*f**2 + 102*f. Determine g, given that d(g) = 0.
1, 39
Let w(b) = -32*b**3 + 1264*b**2 - 611*b + 78. Let m(a) = 16*a**3 - 632*a**2 + 307*a - 39. Let j(r) = 5*m(r) + 2*w(r). Factor j(x).
(x - 39)*(4*x - 1)**2
Let f(z) = -z**3 + 5*z**2 - 5*z - 3. Let h be f(4). Let q = 15 + h. Factor p - 57*p**2 + 61*p**2 - q + 3*p.
4*(p - 1)*(p + 2)
Let v be (2/(-3))/(1/(-9)). Suppose -120 = -v*m + 3*m. Solve y**5 - m*y**2 + 7*y**5 + 10*y**5 + 74*y**3 + 8*y - 26*y**4 - 34*y**4 = 0.
0, 2/3, 1
Let i(u) be the second derivative of -u**6/5 - 71*u**5/50 - 91*u**4/30 - 41*u**3/15 - 6*u**2/5 + 8*u - 2. Suppose i(h) = 0. Calculate h.
-3, -1, -2/5, -1/3
Suppose 4*w - j = 4*j + 6, 3*w - 8 = 2*j. Let x(g) be the second derivative of 1/60*g**6 + 1/6*g**w + 1/10*g**5 + 0*g**3 + 0 - 5*g + 0*g**2. Factor x(q).
q**2*(q + 2)**2/2
Let s(q) be the first derivative of -5*q**6/4 + 6*q**5/5 + 9*q**4 - 11*q**3 - 57*q**2/4 + 27*q + 92. Suppose s(l) = 0. What is l?
-2, -1, 1, 9/5
Suppose 192*z + 113*z = 0. Let z + 40/3*b**4 - 40/3*b**2 + 14*b**3 + 8/3*b - 50/3*b**5 = 0. Calculate b.
-1, 0, 2/5, 1
Suppose 0 = 3*y - 213 - 18. Let h = y + -75. Suppose 0*g + 4/5*g**4 + 0 + 2*g**3 - 4/5*g**2 - h*g**5 = 0. What is g?
-1, 0, 2/5, 1
Suppose 6/13*r**2 + 0*r - 2/13*r**3 - 6/13*r**4 + 0 + 2/13*r**5 = 0. What is r?
-1, 0, 1, 3
Let m = -74 + 128. Let d = m + -484/9. Determine i, given that -d*i**3 + 2/3*i**2 + 4/9 + 10/9*i - 2/9*i**4 = 0.
-1, 2
Let o(h) be the first derivative of h**5/72 + 5*h**4/18 + 5*h**3/3 + 10*h**2 + 2*h - 39. Let q(c) be the second derivative of o(c). Let q(j) = 0. Calculate j.
-6, -2
Let i(u) be the first derivative of u**5 + 155*u**4/4 + 295*u**3/3 + 145*u**2/2 + 586. Factor i(y).
5*y*(y + 1)**2*(y + 29)
Let q be (-1*(5 + -5))/(-2 - 0). Let t(c) be the first derivative of -4/9*c**3 + 4/15*c**5 + q*c**4 - 1/3*c**2 + 1/9*c**6 + 0*c - 8. Let t(v) = 0. Calculate v.
-1, 0, 1
Let b be ((-4)/(-8))/(1/(-1))*-14. Suppose -7*g + 7*g = -b*g. Suppose 0 + 1/3*h**2 + g*h + 1/3*h**3 = 0. What is h?
-1, 0
Let v(m) be the first derivative of m**4/10 + 28*m**3/15 + 49*m**2/5 - 259. Solve v(t) = 0 for t.
-7, 0
Suppose -d - 15 = -5*u - 3*d, 0 = 4*u - 4*d - 40. Factor 10*y**4 + 0*y**2 - 5*y**4 + 10*y - u*y**2 - 10*y**3.
5*y*(y - 2)*(y - 1)*(y + 1)
Let s be -1 - ((-234)/4 - (0 - -1)). Let u = 60 - s. Factor -3/4*t - 3/4*t**3 + 0 + u*t**2.
-3*t*(t - 1)**2/4
Suppose 0*r - 1/4*r**3 + 1/4*r**4 - 1/4*r**2 + 1/4*r**5 + 0 = 0. Calculate r.
-1, 0, 1
Let a = 8908 + -8906. Solve 6/5*g**a + 6*g + 24/5 = 0.
-4, -1
Let d = 87 - 48. Let y be ((54/d)/(-3))/(-3). Factor -4/13*z**3 + y*z**5 + 4/13*z**2 - 2/13*z**4 + 2/13*z - 2/13.
2*(z - 1)**3*(z + 1)**2/13
Let q be (2/4)/((-11)/143) - -7. What is h in -q - 1/2*h**3 + 1/2*h + 1/2*h**2 = 0?
-1, 1
Solve 1/4*j**3 - 11/4*j**2 + 10*j - 12 = 0.
3, 4
Let t(w) = 119*w**2 - 47*w - 12. Let m(n) = -59*n**2 + 23*n + 6. Let h(y) = 11*m(y) + 6*t(y). Factor h(r).
(5*r - 3)*(13*r + 2)
Let h(y) be the first derivative of 4*y**5/35 + 10*y**4/7 + 16*y**3/7 - 80*y**2/7 - 256*y/7 + 225. Factor h(v).
4*(v - 2)*(v + 2)**2*(v + 8)/7
Let x(z) be the first derivative of z**4/16 - 92. Factor x(i).
i**3/4
Suppose 15*q**3 - 10*q**5 - 8*q**5 - 6*q**2 - 2*q**4 + 8*q**4 + 3*q**5 = 0. What is q?
-1, 0, 2/5, 1
Let l be (8/(-22))/(5/((-165)/6)). Suppose -4*y + 9*y = 0. Find a, given that 4/7*a**l + 0 + y*a + 2/7*a**3 = 0.
-2, 0
Let m(l) = 7*l - 26. Let w be m(4). Find y such that -64/5 + 12/5*y**4 - 48/5*y + 1/5*y**5 + 47/5*y**3 + 52/5*y**w = 0.
-4, -1, 1
Let v = -5 + 18. Factor -5*h**2 + 20*h**3 - 2*h**4 + 10*h**4 + v*h**2.
4*h**2*(h + 2)*(2*h + 1)
Let v(a) be the first derivative of 18*a + 11 - 3/2*a**2 - a**3. Factor v(j).
-3*(j - 2)*(j + 3)
Let r(m) = -12*m**3 - 37*m**2 - 38*m. Let w(o) be the first derivative of 11*o**4/4 + 12*o**3 + 39*o**2/2 + 2. Let b(p) = 6*r(p) + 7*w(p). Factor b(f).
5*f*(f + 3)**2
Let o(n) = -2*n**3 + 57*n**2 + 90*n + 2. Let k be o(30). Factor 2/7*t**4 + 2/7*t*