a**3 = 0.
-6, -2, 1
Let g = -1126 + 1131. Let z(c) be the first derivative of -g + 12/11*c**2 - 10/33*c**3 - 8/11*c. Solve z(x) = 0.
2/5, 2
Let k be 6052/(-1020) - (-5 + -1). Let v(n) be the second derivative of 0 - 10*n + 0*n**4 + 0*n**2 - 1/5*n**5 + k*n**6 + 0*n**3. Factor v(s).
2*s**3*(s - 2)
Let y be (-2*3 - -2) + 3. Let m(l) = -l**3 + l**2 - l. Let j(f) = -f**3 + 13*f**2 - 5*f. Let n(k) = y*j(k) + 5*m(k). What is d in n(d) = 0?
-2, 0
Let m(q) = -15*q + 4. Let a be m(1). Let h(i) = 9*i**2 + 8*i - 17. Let s(n) = 5*n**2 + 4*n - 9. Let x(c) = a*s(c) + 6*h(c). Factor x(o).
-(o - 3)*(o - 1)
Factor 2/3*w**3 - 8*w**2 + 52/3 - 10*w.
2*(w - 13)*(w - 1)*(w + 2)/3
Let w(b) be the third derivative of -b**5/15 + 3*b**4 + 38*b**3/3 - 46*b**2. Determine c so that w(c) = 0.
-1, 19
Let y(q) be the third derivative of q**6/150 + 14*q**5/75 + 19*q**4/10 + 48*q**3/5 + 10*q**2. Solve y(o) = 0.
-8, -3
Let r = -2117 - -2121. Let j(u) be the first derivative of 3 + 0*u - 3/4*u**2 + 2/3*u**3 - 1/8*u**r. Suppose j(k) = 0. Calculate k.
0, 1, 3
Let p(f) be the first derivative of f**5/90 + 6*f - 5. Let q(t) be the first derivative of p(t). Solve q(c) = 0 for c.
0
Let h = 1 + -11. Let c be h/(-3) - (-3 - -6). Suppose 2/3*y - 1/3 - 2/3*y**3 + c*y**4 + 0*y**2 = 0. Calculate y.
-1, 1
Let z(o) be the third derivative of o**5/20 + 81*o**4/8 + 40*o**3 + 422*o**2. Find j such that z(j) = 0.
-80, -1
Determine i so that 129*i**3 + 17*i**5 + 30*i**2 - 4*i**5 + 37*i**2 - 4 - 20 - 89*i**4 + 46*i**2 - 142*i = 0.
-1, -2/13, 1, 3, 4
Let s(o) be the third derivative of -o**5/30 - 3*o**4/4 - 20*o**3/3 - 87*o**2. Factor s(n).
-2*(n + 4)*(n + 5)
Let i = 12 - 2. Suppose i*v - 4*v = 0. Factor v*k**2 + 0*k**2 - 3*k**2 - 4*k - k**2 - k**3.
-k*(k + 2)**2
Suppose 0 = -2*q + 6, -3*r - r + 67 = -3*q. Factor 4*c - 12*c - 15*c**2 + c**3 + 3*c**3 + r*c**2.
4*c*(c - 1)*(c + 2)
Let z = 43 - 28. Let u be 220/25 - (-3)/z. Factor -14*h**2 - 6*h - 20*h**3 + u*h - 7*h**2 + 65*h**3 - 27*h**4.
-3*h*(h - 1)*(3*h - 1)**2
Let t(w) be the third derivative of w**6/120 - 43*w**5/240 - 331*w**4/96 - 10*w**3/3 + 140*w**2 + 2*w. Determine f so that t(f) = 0.
-5, -1/4, 16
Let j(f) be the first derivative of f**3/15 + 27*f**2/5 - 11*f - 112. Determine y, given that j(y) = 0.
-55, 1
Suppose 4*h - h - 39 = 0. Let f(u) = -3 + h - 9 + u - u**2. Let m(z) = 5*z**3 - 5*z**2 - 10*z + 10. Let k(p) = 10*f(p) + m(p). Factor k(w).
5*(w - 2)**2*(w + 1)
Let s be (-8*(-12)/384)/((-1)/(-12)). Factor -8/7*i**4 + 0 - 4/7*i + 8/7*i**2 + 0*i**s + 4/7*i**5.
4*i*(i - 1)**3*(i + 1)/7
Let g = 101 + -98. Let h(y) be the first derivative of -3/4*y**2 + 1/3*y**g + 5 + 1/12*y**6 - 3/10*y**5 + 1/4*y**4 + 1/2*y. Suppose h(n) = 0. Calculate n.
-1, 1
Let c(k) be the third derivative of -k**5/120 + 11*k**4/48 - 3*k**3/2 - 27*k**2 + 3. Let c(x) = 0. Calculate x.
2, 9
Factor -3*h**3 - 335*h - 374*h + 784*h + 72*h**2.
-3*h*(h - 25)*(h + 1)
Let d(z) = -33*z**2 - 4*z + 3. Let f be d(1). Let k be f/8 - (-10)/2. Suppose -9/4 + k*q**2 + 3/2*q = 0. Calculate q.
-3, 1
Let u = 1 + -1. Let x be 10/4 + 4995/(-2430). Determine n so that -2/9*n**2 + x*n + u - 2/9*n**3 = 0.
-2, 0, 1
Suppose 0 = 4*p + 14 - 74. Let y be p/(-20) - (-33)/12. Let -38*k**4 - 5*k**5 + 23*k**4 + 3*k**2 - 8*k**y - 15*k**3 = 0. Calculate k.
-1, 0
Let v(k) be the second derivative of -k**4 + 100*k**3/3 - 64*k**2 - 100*k. Factor v(p).
-4*(p - 16)*(3*p - 2)
Let k(i) be the first derivative of 0*i + 1/8*i**2 - 1/24*i**6 + 21 + 0*i**4 - 1/10*i**5 + 1/6*i**3. Determine y, given that k(y) = 0.
-1, 0, 1
Let i(j) be the first derivative of -10*j - 25/2*j**2 + 2 - 20/3*j**3 - 5/4*j**4. Let i(t) = 0. Calculate t.
-2, -1
Let w(t) be the first derivative of t**4/12 + 10*t**3/9 - 7*t**2/6 - 196*t/3 + 188. Solve w(g) = 0.
-7, 4
Suppose -3 = -4*w - 5*b, -2*w - w + 3*b = -9. Factor 2*u**3 - 3*u**3 + 19*u**w - 32*u**2 + 18*u**2.
-u**2*(u - 5)
Suppose -2*m**3 + 14*m - 47*m**2 + 8 - 33*m**2 + 84*m**2 = 0. Calculate m.
-1, 4
Let j = -25 + 47. Solve -25 - g**2 - 3*g**4 + 7*g**2 + j = 0 for g.
-1, 1
Let x(o) = -8 + 6 + 4 - 2*o - o**2. Let a be x(0). Factor -z**5 - z**2 + z**4 - 2*z + 2*z**2 - a*z**4 + 3*z**3 + 0*z**4.
-z*(z - 1)**2*(z + 1)*(z + 2)
Suppose -80 = -4*g - 6*g. Factor g*o**2 - 3*o**3 - 5*o**2 + 6*o**2.
-3*o**2*(o - 3)
Factor -105/4*q + 0 - 3/8*q**2.
-3*q*(q + 70)/8
Let f(c) = 4*c**3 + 5*c + 6. Let u(k) = -k**3 + k**2 - k - 2. Let h(j) = -4*f(j) - 12*u(j). Factor h(z).
-4*z*(z + 1)*(z + 2)
Let h(g) = 3*g**3 + 11*g**2 + 13*g - 1. Let c(f) = -30*f**2 - 26*f**2 - 16*f**3 + 19*f - 83*f + 4. Let j(m) = -3*c(m) - 14*h(m). Solve j(o) = 0 for o.
-1, -1/3
Let l(x) = -430*x**3 - 540*x**2 - 175*x + 65. Let f(h) = 2*h**2 - 39*h**3 + 5 + 6 - 51*h**2 - 16*h - 5. Let v(y) = 65*f(y) - 6*l(y). Factor v(g).
5*g*(g + 1)*(9*g + 2)
Suppose -p = -2*k - 35, -3*k - 5*p - 37 = -4. Let r be (-1)/4 + (-100)/k. Find w, given that -w + w - r*w - w**2 - 9 = 0.
-3
Let i(x) = 2*x**2 + x - 3. Let f(b) = 4*b**2 - 27*b + 10. Let p(k) = -f(k) - 4*i(k). Find y such that p(y) = 0.
-1/12, 2
Let w be (754/2639)/(1/7). Factor 128/7 - 2/7*u**3 - 160/7*u + 34/7*u**w.
-2*(u - 8)**2*(u - 1)/7
Let y = 4335/7 + -619. Let b(p) be the first derivative of 2/21*p**3 + 0*p - y*p**2 + 6. Suppose b(x) = 0. What is x?
0, 2
Let w(u) = -u**3 + 4*u**2 + 11*u + 5. Let o be w(5). Suppose -760*b**2 - o - 215 + 7*b**5 + 9*b**4 - 79*b**4 - 2*b**5 + 350*b**3 + 725*b = 0. What is b?
1, 2, 5
Factor -1/3*u**2 - 14/3*u - 40/3.
-(u + 4)*(u + 10)/3
Let l(q) be the second derivative of q**4/12 - 98*q**3/3 + 4802*q**2 + q - 192. Factor l(v).
(v - 98)**2
Factor 80*z - 43*z**3 + 75 - 2*z**2 + 11*z**3 + 24*z**3 - z**4.
-(z - 3)*(z + 1)*(z + 5)**2
Let j(f) be the second derivative of 1/12*f**2 + 1/18*f**4 + 9*f - 1/9*f**3 + 0. Let j(r) = 0. Calculate r.
1/2
Let n(x) = -2*x - 2. Suppose 0 = 4*h - 2*a + 8, -3*a = -4*h + 2*h - 4. Let s be n(h). Factor -2*b**4 + b + 0*b**5 + 2*b**s - 2*b**5 + b**5 + 0*b**5.
-b*(b - 1)*(b + 1)**3
Let w(m) be the first derivative of 11/4*m**4 - 1 - 5/2*m**2 + 5*m + 1/3*m**3. Let k(s) = 6*s**3 - 3*s + 3. Let f(p) = -5*k(p) + 3*w(p). Factor f(d).
3*d**2*(d + 1)
Let x(u) be the second derivative of u**6/10 + 11*u**5/15 + 2*u**4 + 8*u**3/3 - 2*u**2 + 9*u. Let y(j) be the first derivative of x(j). Factor y(q).
4*(q + 1)*(q + 2)*(3*q + 2)
Factor 5/3*a**3 - 8 + 11*a**2 + 46/3*a.
(a + 3)*(a + 4)*(5*a - 2)/3
Suppose -3*i = -3 - 6. Suppose 4*l - 3*m - 6 = 19, -i*m = -2*l + 11. Find j, given that -l*j**4 + j**4 + j**4 - 2*j**3 + 7*j**5 = 0.
-2/7, 0, 1
Let a(d) be the first derivative of d**6/16 - 3*d**4/8 + d**3/4 + 9*d**2/16 - 3*d/4 + 668. Factor a(j).
3*(j - 1)**3*(j + 1)*(j + 2)/8
Let u(q) = 9*q**3 - 45*q**2 - 97*q - 85. Let n be 39/9 + 1 + 2/3. Let c(v) = -2*v**3 + 11*v**2 + 24*v + 21. Let o(f) = n*u(f) + 26*c(f). Solve o(k) = 0 for k.
-3, -2
Let z = -23426 - -117132/5. Factor 8/5 - z*c**3 + 12/5*c**2 - 18/5*c.
-2*(c - 4)*(c - 1)**2/5
Factor -43*y**2 + 2 + 3 - y**3 + 22*y**2 + 19 + 18*y**2 + 22*y.
-(y - 4)*(y + 1)*(y + 6)
Let x(g) be the third derivative of g**8/336 - g**7/84 + g**6/72 + 7*g**3/3 - 13*g**2. Let l(d) be the first derivative of x(d). Solve l(m) = 0 for m.
0, 1
Let l(t) be the second derivative of -t**8/30240 + t**7/11340 + t**6/648 + t**5/180 - 7*t**4/4 - 2*t. Let j(z) be the third derivative of l(z). Factor j(x).
-2*(x - 3)*(x + 1)**2/9
Suppose y - 4*y = -180. Find n such that -75*n**2 - 7*n**4 - 3*n**5 - 14*n**4 + 12*n - 57*n**3 - y*n - 12 = 0.
-2, -1
Let i(z) be the first derivative of z**4/8 + 4*z**3/3 - 71*z**2/4 - 39*z + 52. Factor i(h).
(h - 6)*(h + 1)*(h + 13)/2
Let a(r) be the second derivative of -r**4/78 - 8*r**3/39 - 12*r**2/13 - r + 128. Determine j so that a(j) = 0.
-6, -2
Let s(h) be the second derivative of 5*h**7/8 - 53*h**6/30 - 2*h**5/5 + 5*h**4/3 - 2*h**3/3 + 2*h - 16. Find z, given that s(z) = 0.
-2/3, 0, 2/7, 2/5, 2
Let h be 1 + (-1 + 0 - 0). Suppose h = -g - d + 7, -2*d + 11 = 2*g - g. Factor -9/4*y**g - 3/2*y**2 + 0*y + 0.
-3*y**2*(3*y + 2)/4
Let z(g) be the first derivative of -9/2*g**4 + 51 - 12*g - 18*g**2 - 13*g**3 - 3/5*g**5. What is c in z(c) = 0?
-2, -1
Suppose 27*o - 39 = 69 - 27. Factor 14/9*f**o - 16/9*f - 52/9*f**2 + 0.
2*f*(f - 4)*(7*f + 2)/9
Let g = -64 + 69. Suppose -g*b - 19 = 6*o - 7*o, 3*o = -3*b 