 + 3*z - 50 - 44*z - 19*z + 25*z**3 - 10*z - 15*z + 5*z**4.
5*(z - 2)*(z + 1)**2*(z + 5)
Let f = -25 - -28. Let -3*l**4 + 0*l**4 - 13*l**5 + 3*l**2 + 0*l**3 + 7*l**5 + 6*l**f = 0. What is l?
-1, -1/2, 0, 1
Let p(u) be the first derivative of 3*u**4/4 + 5*u**3 + 430. Factor p(l).
3*l**2*(l + 5)
Suppose 4*m + 5 = -5*d, 4*d + 2*m = 6*m + 32. Factor -d*a - 1/5*a**3 - 7/5*a**2 - 9/5.
-(a + 1)*(a + 3)**2/5
Let x(l) be the first derivative of 16 + 0*l + l**4 + 4/3*l**3 + 0*l**2. What is p in x(p) = 0?
-1, 0
Let y(d) = d**3 + 5*d**2 + 3*d. Let z be y(0). Solve z - 4/5*i**3 + 0*i + 14/5*i**5 - 2*i**4 + 0*i**2 = 0.
-2/7, 0, 1
Find c, given that -160/7*c + 148/7*c**2 + 12/7 = 0.
3/37, 1
Let c(i) be the second derivative of 3/100*i**5 + 2/15*i**4 - 2/15*i**3 + 0 - 9*i - 7/2*i**2. Let h(m) be the first derivative of c(m). Factor h(n).
(n + 2)*(9*n - 2)/5
Let n(k) = -k**3 + 4*k**2 + k + 2. Let x(j) = -j**3 + 5*j**2 + j + 3. Let z(v) = 4*n(v) - 3*x(v). Factor z(g).
-(g - 1)**2*(g + 1)
Let h be ((-1)/(-4))/(92/23). Let n(p) be the second derivative of 0 + 1/8*p**3 + 9*p + 3/8*p**2 - h*p**4 - 3/80*p**5. Factor n(l).
-3*(l - 1)*(l + 1)**2/4
Factor 4464*a**2 - 389*a - 15552*a**3 - 219*a - 17102*a**5 + 18641*a**4 + 32 - 270*a**4 + 3980*a**5 + 6415*a**4.
-2*(a - 1)*(9*a - 2)**4
Let w(j) be the third derivative of 14*j**2 - 1/70*j**7 + 0*j + 0 - 1/4*j**4 + 0*j**5 + 1/20*j**6 + 1/2*j**3. Let w(y) = 0. What is y?
-1, 1
Let q(w) be the first derivative of -1/14*w**4 + 1/14*w**2 + 2/21*w**3 + 1/42*w**6 - 1/35*w**5 - 1/7*w - 10. Factor q(b).
(b - 1)**3*(b + 1)**2/7
Let q(h) be the first derivative of -2*h - 1/3*h**2 + 5/18*h**3 + 5 - 1/18*h**4. Let j(s) be the first derivative of q(s). Find d such that j(d) = 0.
1/2, 2
Let q(o) be the second derivative of -o**4/32 + 15*o**3/2 - 357*o**2/16 + 761*o. Determine n so that q(n) = 0.
1, 119
Let t be 6/(-6) - 22/(-10). Let r = -33951/5 + 6792. Suppose -r*h - t + 0*h**2 + 3/5*h**3 = 0. What is h?
-1, 2
Solve -20/3*m + 4/9*m**5 - 16/9 + 0*m**4 - 80/9*m**2 - 40/9*m**3 = 0 for m.
-1, 4
Let n = -590 + 590. Let w(c) be the second derivative of 0 + 1/24*c**4 + n*c**2 - 1/4*c**3 - 6*c. Factor w(d).
d*(d - 3)/2
Let o be ((-70)/125)/((-238)/340). Solve -8/5*w**2 + 0*w + 6/5*w**4 - o*w**3 + 4/5*w**5 + 2/5 = 0 for w.
-1, 1/2, 1
Let b(u) be the second derivative of u**5/50 - 11*u**4/15 - u**3/15 + 22*u**2/5 - 58*u. Solve b(t) = 0.
-1, 1, 22
Let -255*a**4 - 48*a**2 - 6*a**3 + 253*a**4 + 22*a**3 + 36*a + 6*a**2 = 0. What is a?
0, 2, 3
Let j(g) be the first derivative of -10 + 0*g**3 + 1/3*g**2 + 0*g - 1/6*g**4. Determine c so that j(c) = 0.
-1, 0, 1
Let i(z) be the second derivative of -3/4*z**3 - 1/8*z**4 + 0 + 6*z - 3/2*z**2. Factor i(a).
-3*(a + 1)*(a + 2)/2
Let t be (-2)/(-7) - (-124)/217. Factor 0*m + 0*m**3 + 0 + 0*m**2 + t*m**4.
6*m**4/7
Let t(j) be the second derivative of j**6/6 + 7*j**5/20 - 7*j**4/4 + 3*j**3/2 - 93*j. Let t(g) = 0. Calculate g.
-3, 0, 3/5, 1
Suppose -5950 = 2*g - 5956. Factor -5/3 + 5/3*i**2 - 5/3*i + 5/3*i**g.
5*(i - 1)*(i + 1)**2/3
Let c = -14 + 16. Suppose c*m - 3 = -j - 1, m = 2*j + 1. What is o in 2*o**2 + 5*o + j*o + 3*o + 0*o + 6 = 0?
-3, -1
Let x(y) be the third derivative of y**8/672 - 11*y**7/420 + 43*y**6/240 - 23*y**5/40 + 3*y**4/4 + 2*y**2 + 9*y. Factor x(n).
n*(n - 4)*(n - 3)**2*(n - 1)/2
Let x be 10/125 - 1792/(-3850). Factor -x*w**2 + 4/11*w + 2/11*w**3 + 0.
2*w*(w - 2)*(w - 1)/11
Let i be (-384)/(-200) - (-2)/25. Suppose 4/3*l**i + 0*l + 0 - 4*l**3 = 0. What is l?
0, 1/3
Let y(x) be the first derivative of 0*x + 0*x**4 - 1/20*x**5 - x**2 + 0*x**3 - 4. Let u(z) be the second derivative of y(z). Factor u(a).
-3*a**2
Factor 0*b + 27/4*b**2 + 1/4*b**5 + 0 - 3/4*b**4 - 9/4*b**3.
b**2*(b - 3)**2*(b + 3)/4
Let x be 2*(665/14)/19. Let n(r) be the third derivative of -1/20*r**x + 0*r + 7*r**2 - 1/4*r**4 + 0 - 1/2*r**3. Factor n(m).
-3*(m + 1)**2
Let f(g) be the second derivative of -g**5/240 + g**4/48 - 25*g**2/2 - 16*g. Let o(u) be the first derivative of f(u). Factor o(d).
-d*(d - 2)/4
Suppose 0 = -5*q + 18 + 17. Suppose 9 - 18*j**3 - q*j**5 + 8*j**5 - 11*j**4 - 2*j**5 + 19*j + 2*j**2 = 0. Calculate j.
-9, -1, 1
Let d(s) = 3*s - 7. Let t be d(3). Let z = -67 - -67. Factor 1/4*g**4 + z*g - g**3 + g**t + 0.
g**2*(g - 2)**2/4
Let d(z) be the first derivative of -5*z**3/3 - 15*z**2/2 - 10*z + 48. Factor d(j).
-5*(j + 1)*(j + 2)
Determine j, given that 92*j**3 - 108*j**2 + 73*j**3 + 91*j**3 - 276*j**3 - 40*j = 0.
-5, -2/5, 0
Let h = 118 - 114. Factor -10*z - 8*z**2 - 2334 + 16*z**3 - h*z**5 + 2342 - 2*z.
-4*(z - 1)**3*(z + 1)*(z + 2)
Let m be ((-51)/(-6))/17 + 8913/(-22). Let h = 405 + m. Suppose 0 - h*f**3 - 2/11*f**4 - 2/11*f**2 + 0*f = 0. Calculate f.
-1, 0
Let i(j) be the second derivative of -2/39*j**4 + 7/130*j**5 - 4/39*j**3 + 0 + 0*j**2 + 4/195*j**6 - 1/91*j**7 - 31*j. Determine p, given that i(p) = 0.
-1, -2/3, 0, 1, 2
Suppose 0 = -5*p + 4*p + 85. Factor -p*j - 25*j**2 - 18 + 25 - 37.
-5*(j + 3)*(5*j + 2)
Let n(d) be the second derivative of 0 + 1/5*d**3 + 1/30*d**4 + 23*d + 0*d**2. Suppose n(g) = 0. Calculate g.
-3, 0
Let g(l) = -8*l**4 + 6*l**3 + 10*l**2 + 7*l + 5. Let x(t) = -7*t**4 + 3*t**3 + 8*t**2 + 8*t + 4. Let q(r) = -4*g(r) + 5*x(r). Suppose q(s) = 0. What is s?
-2, 0, 1
Let x = 20310 + -80853/4. Let b = -96 + x. Factor -b*j - 3/4*j**2 + 3/2.
-3*(j - 1)*(j + 2)/4
Let b(q) = -q**3 - 3*q**2 - 5*q - 3. Let c be b(-3). Suppose 53*n = 74*n - 63. Suppose -n*z**4 - 13/3*z**2 - 28*z + 14*z**3 - c = 0. What is z?
-2/3, 3
Let d be (-2)/(-20)*(-89)/(-178). Let u(t) be the second derivative of d*t**5 - 1/12*t**4 + 0 + 0*t**2 - t - 1/6*t**3 + 1/30*t**6. Factor u(i).
i*(i - 1)*(i + 1)**2
Factor 3/5*m**2 - 51/5 - 48/5*m.
3*(m - 17)*(m + 1)/5
Let n(y) = -6*y**2 - 8*y + 6. Let u(i) = 16*i**2 + 24*i - 20. Let h(x) = 10*n(x) + 3*u(x). Solve h(v) = 0 for v.
-2/3, 0
Let y(k) be the first derivative of 3*k**4/20 - 2*k**3/5 - 33*k**2/10 + 36*k/5 + 169. Factor y(b).
3*(b - 4)*(b - 1)*(b + 3)/5
Let k(c) be the third derivative of 5*c**8/336 + 109*c**7/42 + 2915*c**6/24 - 3025*c**5/12 + 129*c**2. Suppose k(o) = 0. Calculate o.
-55, 0, 1
Let t = -1031 - -1037. What is o in -3/2*o**5 - 3*o**4 + 3*o**3 - 3/2*o - 3 + t*o**2 = 0?
-2, -1, 1
Let c(l) = -9*l**3 - 46*l**2 - 41*l - 4. Let p(b) = 10*b**3 + 45*b**2 + 40*b + 5. Let k(t) = -5*c(t) - 4*p(t). Solve k(z) = 0 for z.
-9, -1, 0
Suppose 4*v + 16 = -x + 3*x, 0 = 5*x - 2*v - 8. Let s(l) be the second derivative of 6*l + 1/9*l**4 + 0*l**2 + x - 2/9*l**3. Factor s(f).
4*f*(f - 1)/3
Let v = 557/994 - 39/142. Suppose 4/7 - v*c**2 - 6/7*c + 6/7*c**3 - 2/7*c**4 = 0. Calculate c.
-1, 1, 2
Let p = 4653 - 4651. Factor -1/5*f + 1/10*f**p + 0.
f*(f - 2)/10
Let s be 7 + 2/((-6)/9). Let u(x) be the second derivative of 0 - 2*x - 25/6*x**s + 10/3*x**3 - x**2. Factor u(y).
-2*(5*y - 1)**2
Let v(j) be the third derivative of -3/80*j**6 + 13/120*j**5 - 13/420*j**7 + 11/672*j**8 + 8*j**2 - 1/24*j**4 + 0*j**3 + 0*j + 0. Determine a so that v(a) = 0.
-1, 0, 2/11, 1
Factor -152/5 - 1/5*o**3 + 148/5*o - 34/5*o**2.
-(o - 2)**2*(o + 38)/5
Let r(w) be the third derivative of w**6/120 + 5*w**5/12 + 31*w**2 + 2*w. What is k in r(k) = 0?
-25, 0
Let l(w) be the second derivative of 17*w**4/24 - 37*w**3/24 + 3*w**2/8 + 2*w + 51. Factor l(q).
(q - 1)*(34*q - 3)/4
Let m = 2195 - 15362/7. Factor 0 - 3/7*h**2 + 0*h - 9/7*h**4 - m*h**5 - 9/7*h**3.
-3*h**2*(h + 1)**3/7
Let b(p) be the first derivative of 4*p**3/9 - 36*p**2 + 972*p - 99. What is k in b(k) = 0?
27
Let v(m) = -2*m**4 - m**2 + m + 1. Let l(h) = -10*h**4 - 11*h**3 - 12*h**2 + 25*h + 4. Let j(a) = -l(a) + 4*v(a). Find p, given that j(p) = 0.
-7/2, -3, 0, 1
Let i be (-342)/45 + 13 + (-20)/4. Factor -12/5*v**2 + 0 + i*v**3 + 18/5*v.
2*v*(v - 3)**2/5
Suppose 2*g + 4*q + 20 + 50 = 0, -3*q = 15. Let s be 5/(g/4) - (-12)/15. Factor 1/2*c**3 + 0*c**2 + 0*c + s.
c**3/2
Let f = -8 - -14. Let d(a) = -a**2 - a. Let r(g) be the first derivative of 8*g**3/3 + 3*g**2 - 2*g - 8. Let q(c) = f*d(c) + r(c). Find h such that q(h) = 0.
-1, 1
Factor 13/2*b**2 + 1/2*b**3 + 51/2*b + 63/2.
(b + 3)**2*(b + 7)/2
Let c(a) = 3*a**3 + 4*a**2 - 2*a - 4. Let g be c(2). Factor -g*r**3 - 9*r - 73*r**2 - 9*r + 25*r**2 - 2.
-2*(r + 1)*(4*r + 1)**2
Let a(f) be the third derivat