 p**5/150 + p**4/10 + 4*p**3/15 + 98*p**2. Suppose l(c) = 0. What is c?
-2, -1, 2
Let a be 0/(((546/(-56))/13)/(6/(-40))). Factor 0*o - 8/3*o**2 + 4*o**3 + 0 + a*o**4 - 4/3*o**5.
-4*o**2*(o - 1)**2*(o + 2)/3
Let z(s) = 4*s**2 - 2*s + 1. Let y = 0 - -3. Let m(t) = 1 - 8*t - 129*t**2 - 1 + 136*t**2 + 5*t + 1. Let w(x) = y*m(x) - 5*z(x). Factor w(r).
(r - 1)*(r + 2)
Let q(z) = 16*z**2 - 28*z**3 - 37*z**3 + 78*z**3 - 5*z + 5. Let h(p) = 20*p**3 + 24*p**2 - 8*p + 8. Let o(c) = 5*h(c) - 8*q(c). Factor o(w).
-4*w**2*(w + 2)
Find z such that 1 + 13/4*z**3 + 7*z - 11/4*z**4 + 43/4*z**2 - 5/4*z**5 = 0.
-2, -1, -1/5, 2
Let b(u) be the second derivative of 3*u**5/5 + 5*u**4/3 - 8*u**3/3 - 8*u**2 + 2*u - 1. Let b(i) = 0. Calculate i.
-2, -2/3, 1
Suppose 4*j - 3*r + 12 = 0, 12*j = 17*j - 2*r + 8. Determine y so that 0 + 5/2*y**3 - 5/2*y + j*y**2 = 0.
-1, 0, 1
Factor 3/4 + 11/4*l**3 - 11/4*l - 3/4*l**2.
(l - 1)*(l + 1)*(11*l - 3)/4
Suppose 3*g = -5*w + 22, -4*w - 4 = 3*g - 24. Suppose -38 = -5*s - 8. Solve -s - 6*l**w - 3*l**2 + 5*l**2 + 21*l - 5*l**2 = 0 for l.
1/3, 2
Let g = -24490 + 171446/7. Factor 8/7 + g*z**2 - 4/7*z**3 - 20/7*z.
-4*(z - 2)*(z - 1)**2/7
Let z(m) be the first derivative of 10115*m**4/4 + 1700*m**3/3 - 305*m**2/2 + 10*m - 76. Factor z(c).
5*(7*c + 2)*(17*c - 1)**2
Let c(g) be the third derivative of g**8/2352 + g**7/490 + g**6/420 - g**2 + 56*g. Find m such that c(m) = 0.
-2, -1, 0
Let j = 326 - 319. Let u(x) be the third derivative of 0*x**3 + 0 + 1/180*x**6 + 0*x**5 + 0*x + 0*x**4 - 1/630*x**j + 2*x**2. Factor u(m).
-m**3*(m - 2)/3
Let g(l) = -5*l**4 + 169*l**3 - 6*l**2 - 2. Let z(h) = -81*h**4 + 2703*h**3 - 99*h**2 - 33. Let y(b) = 33*g(b) - 2*z(b). Find q such that y(q) = 0.
0, 57
Determine z so that 26/3 + 50/3*z + 22/3*z**2 - 2/3*z**3 = 0.
-1, 13
Let r = 21 + 9. Let x be (-4)/r + (-52)/(-65). Determine s so that -s + x + 1/3*s**2 = 0.
1, 2
Suppose -5*c - 4*a + 1 + 26 = 0, -c + 3*a + 13 = 0. Let j(o) = -7*o**2 + 10*o + 13. Let z(s) = -22*s**2 + 30*s + 38. Let x(p) = c*j(p) - 2*z(p). Factor x(h).
-5*(h - 3)*(h + 1)
Let d(n) = -10*n**2 - 28*n - 30. Let m(y) = -y**2 + 3. Let k(h) = d(h) - 6*m(h). Factor k(z).
-4*(z + 3)*(z + 4)
Let c(v) be the second derivative of 0*v**2 + 0 - 1/147*v**7 - 13*v - 1/15*v**6 - 4/21*v**4 - 1/5*v**5 + 0*v**3. Determine x, given that c(x) = 0.
-4, -2, -1, 0
Suppose 30/7*o**3 - 48/7*o**4 + 0 + 8/7*o**2 + 0*o + 10/7*o**5 = 0. Calculate o.
-1/5, 0, 1, 4
Let m(i) be the first derivative of i + 7 + 1/2*i**2 - 1/3*i**3 - 1/4*i**4. Let l(d) = 6*d**3 - 57*d**2 + 54*d - 3. Let w(k) = l(k) - 6*m(k). Factor w(q).
3*(q - 3)*(q - 1)*(4*q - 1)
Let o(j) = j**3 - 3*j**2 - 3*j + 3. Let r be o(4). Let x = r - 4. Factor 15*g + 4*g**3 + 8*g**2 - 6 + x*g**3 - 20*g**2 - 4*g**3.
3*(g - 2)*(g - 1)**2
Let x = -52600/7 + 7515. Find i, given that x*i**2 + 1/7*i**4 - 2/7*i - 4/7*i**3 + 0 = 0.
0, 1, 2
Let o(j) = j**4 - j**3 + j**2 + j. Let u(q) = -6*q**3 + 5*q**4 + 8*q - q**2 + 2 - 5*q + 3*q**3. Let v(b) = -3*o(b) + u(b). Factor v(a).
2*(a - 1)**2*(a + 1)**2
Let q(n) = -2*n + 23. Let h be q(10). Suppose -t - 10 = -3*k, t = -9*k + 4*k + 6. Suppose 0*f + 0*f**k - 3*f**2 + 2*f + 2*f**h - f**3 = 0. What is f?
0, 1, 2
Let s(f) be the second derivative of f**7/42 + f**6/24 + 11*f**2/2 - 11*f. Let c(i) be the first derivative of s(i). Factor c(w).
5*w**3*(w + 1)
Let k = 26 - 21. Suppose 3 = -y + 5. Factor -8*i - k + 2*i**2 + 2*i - 5*i**y + 2.
-3*(i + 1)**2
Let d(r) = -2*r**4 - 13*r**3 + 2*r**2 + 37*r - 15. Let w(h) = 4*h**4 + 27*h**3 - 4*h**2 - 75*h + 27. Let b(x) = 14*d(x) + 6*w(x). Factor b(f).
-4*(f - 1)**2*(f + 3)*(f + 4)
Let y(r) be the second derivative of -4/27*r**3 + 0 + 1/54*r**4 + 41*r - 4/3*r**2. Factor y(j).
2*(j - 6)*(j + 2)/9
Let u(j) be the first derivative of 5*j**6/24 + 3*j**5/5 + j**4/4 - 5*j**3/6 - 9*j**2/8 - j/2 - 225. Solve u(a) = 0 for a.
-1, -2/5, 1
Let w be -4 + -5*30/(-25). Suppose 0 = w*j - 3*j. Factor j*d**3 - 2*d + 0*d**3 + 6 + 2*d**3 - 2*d**2 - 4.
2*(d - 1)**2*(d + 1)
Let t(o) = -o**2 + 21*o - 35. Let v be t(19). Factor -15*g**4 - 27*g**3 + 5*g**5 - 18*g**v + 55*g**3.
5*g**3*(g - 2)*(g - 1)
Let m(j) be the second derivative of -j**8/336 - j**7/84 + j**6/72 + j**5/12 + 35*j**3/6 - 19*j. Let o(a) be the second derivative of m(a). Factor o(c).
-5*c*(c - 1)*(c + 1)*(c + 2)
Suppose -4*d = -2*d - 28. Let q = -11 + d. Factor 0*k - 6*k**5 + 7*k**5 - 2*k**q + k.
k*(k - 1)**2*(k + 1)**2
Let w(g) = -g**3 + 11*g**2 + 4*g - 8. Let k be w(11). Factor -40*j**2 - 21*j - 48 - 31*j + k*j**2.
-4*(j + 1)*(j + 12)
Determine i, given that 0*i - 297/7*i**3 - 60/7*i**2 + 15/7*i**4 + 0 = 0.
-1/5, 0, 20
Let p be ((-180)/150)/((-6)/20). Let r(h) be the third derivative of -3*h**2 + 0*h - 1/10*h**5 + 1/8*h**p - 1/40*h**6 + h**3 + 0. Let r(q) = 0. Calculate q.
-2, -1, 1
Factor -3/2*j**2 - 3/8*j**3 + 27/4 + 9/8*j.
-3*(j - 2)*(j + 3)**2/8
Let w = 8 + 6. Let t = w + -10. What is f in -29*f**4 + 17*f**t + f**5 + 14*f**4 - 16*f**2 - 15*f**3 + 4*f**5 - 4*f = 0?
-1, -2/5, 0, 2
Let p(v) be the first derivative of 3*v**5/20 - 3*v**3/2 + 3*v**2 + 11*v + 1. Let g(q) be the first derivative of p(q). Solve g(j) = 0.
-2, 1
Let c(h) be the third derivative of -h**5/105 + 53*h**4/21 - 5618*h**3/21 - 188*h**2. What is u in c(u) = 0?
53
Let g(z) be the first derivative of 4*z**3/3 + 4*z**2 + 22. Determine v so that g(v) = 0.
-2, 0
Let y = 29 - 202/7. Let a(g) be the second derivative of 0*g**2 - g + 1/28*g**4 + 0 + y*g**3. Determine i, given that a(i) = 0.
-2, 0
Suppose -2*r = 2*g - 20, -12 = -4*g - 2*r + 36. Let j = g + -11. Factor -6*w**4 - 4*w**3 - 2*w**5 - 6*w**2 - 2*w**j + 4*w**2.
-2*w**2*(w + 1)**3
Let d(o) = o**4 - 38*o**3 + 113*o**2 - 51*o + 5. Let q(x) = -2*x**4 + 36*x**3 - 114*x**2 + 50*x - 6. Let j(k) = -6*d(k) - 5*q(k). Factor j(s).
4*s*(s - 1)**2*(s + 14)
Suppose -f - 2*v = 2*v - 19, -2*v + 11 = f. Factor 2*q - q**2 - 5*q**4 + 6*q**4 - q**3 - 2*q**f + q**5 + 0*q**2.
q*(q - 1)**2*(q + 1)*(q + 2)
Let g(z) be the second derivative of -1/189*z**7 + 0*z**2 + 0*z**3 + 0*z**4 + 0*z**6 + 3*z + 2/45*z**5 + 0. Factor g(o).
-2*o**3*(o - 2)*(o + 2)/9
Let g(t) be the third derivative of -t**6/30 - 11*t**5/15 + 121*t**4/6 + 2662*t**3/3 + 247*t**2. Factor g(r).
-4*(r - 11)*(r + 11)**2
Let q(j) be the third derivative of j**5/100 - 3*j**4/40 + j**3/5 + 3*j**2 - 6. Factor q(m).
3*(m - 2)*(m - 1)/5
Let x be -22 - -19 - 30/((-4)/2). Suppose b + x = 14. Factor 1 - 1/3*l**b + 2/3*l.
-(l - 3)*(l + 1)/3
Let p(w) be the second derivative of 9*w**7/14 - 21*w**6/10 + 3*w**5/2 + 3*w**4/2 - 3*w**3/2 - 3*w**2/2 - 4*w - 32. Factor p(z).
3*(z - 1)**3*(3*z + 1)**2
Factor -400/11 + 120/11*b + 36/11*b**2 + 2/11*b**3.
2*(b - 2)*(b + 10)**2/11
Let x(b) be the first derivative of 10*b**6/3 - 16*b**5/5 - 16*b**4 + 8*b**3/3 + 22*b**2 + 8*b + 191. What is t in x(t) = 0?
-1, -1/5, 1, 2
Let m(u) = -3*u - 4. Let o be m(-2). Let l be 1*(2/o - -2). Factor 2*z + l*z**5 + 3*z**4 - 2*z + 3*z**5.
3*z**4*(2*z + 1)
Let b(f) be the third derivative of f**6/24 + f**5/3 - 35*f**4/24 - 25*f**3/3 + 482*f**2. Let b(l) = 0. What is l?
-5, -1, 2
Let o(k) = 2*k**4 + 5*k**3 - 14*k**2 + k. Let y(j) = -j**4 - j**3 - j. Let i(c) = 5*o(c) - 10*y(c). Factor i(w).
5*w*(w - 1)*(w + 3)*(4*w - 1)
Let g(a) be the third derivative of 1/45*a**7 - 17/270*a**5 - 5*a**2 - 1/168*a**8 + 0*a - 4/27*a**3 + 4/27*a**4 - 7/540*a**6 + 0. Let g(c) = 0. Calculate c.
-1, 2/3, 1
Let p(m) = 8*m**2 - 80*m + 12. Let u(l) = 3*l**2 - 32*l + 5. Let v(y) = 5*y + 42. Let a be v(-6). Let f(k) = a*u(k) - 5*p(k). Factor f(t).
-4*t*(t - 4)
Let y(c) be the first derivative of c**4/4 - 3*c**3/2 + 16*c + 4. Let t(k) be the first derivative of y(k). Suppose t(o) = 0. What is o?
0, 3
Let x = -1270/3 - -426. Factor 0 + 2/3*g**4 - x*g**3 - 4/3*g + 10/3*g**2.
2*g*(g - 2)*(g - 1)**2/3
Let f(h) be the first derivative of -69*h + 53*h + h**3 - 24*h**2 + 208*h - 44. Factor f(r).
3*(r - 8)**2
Determine x so that 9/4*x + 0*x**3 + 0 + 3/8*x**4 - 21/8*x**2 = 0.
-3, 0, 1, 2
Let p(u) be the third derivative of 0*u + 1/120*u**6 + 0 + 0*u**4 - 1/126*u**7 - 8*u**2 + 0*u**3 + 1/20*u**5 + 1/1008*u**8. Factor p(k).
k**2*(k - 3)**2*(k + 1)/3
Let l = 70 + -346/5. Let k be ((-134)/(-402))/((-2)/(-6))*4. Suppose 3/5*r**k - l*r**2 - 2/5*r**3 + 1/5 + 2/5*r = 0. What is 