 + 3*z. Factor 12*l**2 - 2*l**4 + 5*l**4 + z*l**3 - 2*l**3 + 10*l**3.
3*l**2*(l + 2)**2
Let r be 1 - (342/(-10))/3. Suppose 7*f - 5*f = 3*x - 8, 8 = 2*x - 4*f. Determine n so that 8/5 + r*n**x - 8*n - 6*n**3 = 0.
2/5, 2/3, 1
Determine x so that 0 + 65/6*x**2 - 3*x - 26/3*x**3 + 5/6*x**4 = 0.
0, 2/5, 1, 9
Suppose -2*z = -0 - 10. Let f be 1*3/5*z. Factor v**2 - v**3 + 6*v**3 - 2*v**3 - 2*v**f.
v**2*(v + 1)
Let m(i) be the first derivative of -2*i**3/27 - 7*i**2/9 + 95. Factor m(n).
-2*n*(n + 7)/9
Suppose 0*q + 130/3*q**4 + 35/3*q**5 + 0 + 100/3*q**3 - 40/3*q**2 = 0. Calculate q.
-2, 0, 2/7
Let k(s) be the third derivative of 0 + 0*s - 11*s**2 + 1/390*s**5 + 0*s**4 - 1/39*s**3. Factor k(l).
2*(l - 1)*(l + 1)/13
Suppose 31*p - 4 = 33*p + 4*a, -5*a = 5*p + 5. Let 3/5*w**3 + 0*w**2 + 3*w**5 + p*w - 18/5*w**4 + 0 = 0. Calculate w.
0, 1/5, 1
Suppose -4*j**2 - 12 + 52*j - 15 + 14 - 35 = 0. Calculate j.
1, 12
Let i(k) be the third derivative of -k**7/840 - k**6/80 - k**5/20 - 5*k**4/48 - k**3/8 + 6*k**2 - 9*k. Factor i(n).
-(n + 1)**3*(n + 3)/4
Let j = -6 + 11. Let l(s) be the second derivative of -1/2*s**3 + 0 + 0*s**2 + 3/20*s**5 - 1/10*s**6 + j*s + 1/4*s**4. Factor l(y).
-3*y*(y - 1)**2*(y + 1)
Suppose 24 = 3*z + z. Let c be z - -12*(-2)/8. Factor 16/9*d**2 + 2/9*d**4 - 8/9*d - 10/9*d**c + 0.
2*d*(d - 2)**2*(d - 1)/9
Suppose -368*p**2 - 1128*p - 421*p**2 - 242*p**3 - 443*p**2 - 288 = 0. Calculate p.
-4, -6/11
Let g(x) be the third derivative of 10/3*x**3 + 21*x**2 + 0*x + 1/42*x**7 + 5/4*x**5 + 7/24*x**6 + 0 + 65/24*x**4. Solve g(z) = 0 for z.
-4, -1
Suppose -k + 3*k + 5*l - 50 = 0, -3*k + 57 = 3*l. Factor 11 + 3*x**2 + 2*x**2 + k*x - 8*x**2 + 7.
-3*(x - 6)*(x + 1)
Factor 22*d**4 + 24*d**4 + 4*d**5 + 60 - 182*d**4 + 8*d**2 + 68*d**4 + 172*d**3 - 124*d - 52*d**3.
4*(d - 15)*(d - 1)**3*(d + 1)
Let x(p) be the second derivative of -p**5/40 + p**4/2 + 13*p**3/12 - 92*p. Solve x(t) = 0.
-1, 0, 13
Suppose 3*k = 4*k - 2*s + 16, -2*k - 33 = -3*s. Let z = -52/3 - k. Factor z*a**2 + 0 - 2/3*a**5 + 2/3*a**3 + 0*a - 2/3*a**4.
-2*a**2*(a - 1)*(a + 1)**2/3
What is n in 12/7*n**3 + 10/7*n**2 - 4/7 - 6/7*n = 0?
-1, -1/2, 2/3
Let t(z) be the third derivative of z**5/3 + z**4/10 + 688*z**2. Let t(y) = 0. Calculate y.
-3/25, 0
Let f(q) be the third derivative of -27/5*q**3 + 0 - 1/150*q**5 + 0*q - 13*q**2 + 3/10*q**4. Solve f(w) = 0.
9
Let u(v) = 10*v + 2. Let n be -4 + (-12)/(-6) - -2. Let r be u(n). Factor -4/3 - 4/3*k**r - 8/3*k.
-4*(k + 1)**2/3
Let c(g) be the third derivative of 8*g**2 + 0*g**3 - 7/24*g**6 + 5/2*g**5 + 0 + 0*g - 5/3*g**4. Find z such that c(z) = 0.
0, 2/7, 4
Find a such that 3/4*a**3 - 3/4*a**2 - 3/4*a + 3/4 = 0.
-1, 1
Let o = -38623/5 - -7725. Factor 1/5*p + 0 + o*p**2 + 1/5*p**3.
p*(p + 1)**2/5
Let v = 155 + -155. Determine k so that -2/3*k**2 + v + 2/3*k = 0.
0, 1
Let l(z) be the second derivative of z**6/105 - z**4/42 + 27*z. What is o in l(o) = 0?
-1, 0, 1
Suppose 36 = 4*r - 4*n, -3*n + 11 - 26 = -r. Let u(y) be the first derivative of -2/5*y**5 + 2*y**2 + 2/3*y**3 + 1/3*y**r - 3/2*y**4 + 0*y - 5. Factor u(q).
2*q*(q - 2)*(q - 1)*(q + 1)**2
Suppose -27*v - 405 = -459. Factor -4/3*l**3 + 0 + 4/3*l + 0*l**v.
-4*l*(l - 1)*(l + 1)/3
Factor -1780*t**2 - 80 + 13*t - 61*t + 1776*t**2.
-4*(t + 2)*(t + 10)
Let g be (7 - 11) + 2*5. Suppose 2*x = g, 0 = 6*s - 4*s + 3*x - 13. Let 4*z**3 - 16*z - 9*z**2 + 7*z + 3*z**s - z**3 = 0. Calculate z.
-1, 0, 3
Let l = 1289/3570 - 1/255. Let v(d) be the first derivative of l*d**4 - 5/7*d**2 + 4/7*d - 5 - 4/21*d**3. Solve v(x) = 0 for x.
-1, 2/5, 1
Let k(s) = 3*s - 14. Let r be k(6). Factor -7*x + r*x + 4*x + x**2.
x*(x + 1)
Suppose -5*b - 7 = -2*f - 13, -3 = b + f. Let z(c) be the first derivative of 1/25*c**5 + b*c**2 + 0*c + 1/10*c**4 + 8 + 1/15*c**3. Factor z(x).
x**2*(x + 1)**2/5
Suppose 3*o = 5*i - 463, -3*o = -4*i - 0*i + 371. Let l = -90 + i. Factor 32/3*w - 8/3*w**3 + 0 + 4/3*w**4 - 16/3*w**l.
4*w*(w - 2)**2*(w + 2)/3
Let g(v) = -2*v**2 - 17*v - 5. Let p(u) = u + 1. Let c(f) = g(f) + 5*p(f). Find n such that c(n) = 0.
-6, 0
Let f(x) be the second derivative of -2*x**6/15 + 8*x**5/5 - 19*x**4/3 + 8*x**3 + 53*x - 2. Factor f(v).
-4*v*(v - 4)*(v - 3)*(v - 1)
Let v be 5 - 10*7/14 - -2. Let c(b) be the second derivative of 0*b**6 - 1/15*b**3 + 0*b**4 + 1/25*b**5 + 0*b**v + 0 - 1/105*b**7 + 5*b. Factor c(n).
-2*n*(n - 1)**2*(n + 1)**2/5
Let h = -256 - -3330/13. Suppose 5*u = y, 4*y + 5*u - u = 24. Suppose 0*p + 0*p**2 - h*p**y + 0*p**3 + 0 - 4/13*p**4 = 0. Calculate p.
-2, 0
Suppose -4*k = -5*f - 17, -6*k - 11 = -11*k - 4*f. Let o(i) be the second derivative of 0*i**k - 6*i + 0 + 0*i**2 + 0*i**4 - 1/80*i**5. Factor o(s).
-s**3/4
Let i(q) be the second derivative of q**6/240 - q**5/80 - q**4/8 + 8*q**3/3 + 27*q. Let s(c) be the second derivative of i(c). Factor s(r).
3*(r - 2)*(r + 1)/2
Let k(i) be the first derivative of i**6/42 - 4*i**5/35 + i**4/7 - 2. Suppose k(u) = 0. What is u?
0, 2
Let p(j) = -j**3 - 52*j**2 + 145*j + 191. Let r(q) = -q**3 + q - 1. Let g(v) = p(v) - 5*r(v). Solve g(y) = 0.
-1, 7
Let s(h) = 30*h - 12*h**4 + 30*h**2 + 6*h**3 - 15*h**3 + 32*h**4 + 4*h**3. Let l(m) = -m**4 - m**2 - m. Let n(w) = -25*l(w) - s(w). Find q such that n(q) = 0.
-1, 0, 1
Let z(x) = -44*x + 1410. Let t be z(32). Factor 0*s - 2/15*s**t + 0 - 2/15*s**3.
-2*s**2*(s + 1)/15
Let y(w) be the second derivative of -2*w**7/105 + 6*w**6/25 - 21*w**5/25 + 19*w**4/15 - 4*w**3/5 - 80*w. Suppose y(o) = 0. What is o?
0, 1, 6
Let p(u) = -58*u**3 + 124*u**2 - 50*u - 4. Let n(b) = -59*b**3 + 123*b**2 - 51*b - 4. Let a(l) = -4*n(l) + 3*p(l). What is s in a(s) = 0?
-2/31, 1
Let f = 1/51 + 95/357. Let x = 65 + -65. Factor 4/7*v**2 + f*v + 2/7*v**3 + x.
2*v*(v + 1)**2/7
Let w(r) = -16*r**2 + 39*r + 14. Suppose -3*k = k + 5*v - 6, -5*v + 13 = -3*k. Let u(y) = y**2 + y + 1. Let z(g) = k*w(g) + 4*u(g). Factor z(h).
5*(h - 2)*(4*h + 1)
Let g(w) be the second derivative of w**5/10 + 3*w**4 - 31*w. Factor g(b).
2*b**2*(b + 18)
Suppose 17*r = 22*r - 70. Suppose r*s = 3*s. Find h, given that s + 8/7*h**4 + 0*h - 6/7*h**5 + 2/7*h**3 - 4/7*h**2 = 0.
-2/3, 0, 1
Let s(a) = 2*a**2 - 2*a. Let o(b) = -10*b**3 - 2*b**2 + 5*b + 9*b**3 - b**2 - b**2. Let v(u) = 2*o(u) + 5*s(u). What is c in v(c) = 0?
0, 1
Let v = -85 - -87. What is q in 0*q**3 + q + q**3 - v*q - 3*q + 3*q**2 = 0?
-4, 0, 1
Let w(r) be the third derivative of 0 + 0*r + 0*r**3 + 0*r**4 + 10*r**2 + 0*r**6 - 1/12*r**5 + 1/42*r**7. Suppose w(o) = 0. What is o?
-1, 0, 1
Let j(d) be the second derivative of d**4/12 + 23*d**3/3 + 45*d**2/2 - 26*d - 1. Factor j(x).
(x + 1)*(x + 45)
Suppose -219/2*h**2 - 1/4*h**3 - 15987*h - 778034 = 0. Calculate h.
-146
Suppose -o + 2 + 2 = 0, -2*z + 3*o = 8. Let f(a) be the first derivative of -2 - 2/3*a**2 - 2/27*a**3 - z*a. Find h such that f(h) = 0.
-3
Let c(n) be the third derivative of n**5/210 - 11*n**4/14 + 363*n**3/7 + 101*n**2. Suppose c(k) = 0. Calculate k.
33
Let o be (156/585)/((-4)/(-3)). Let -o*g + 0 + 3/10*g**2 - 1/10*g**3 = 0. What is g?
0, 1, 2
Let a(g) be the second derivative of 5/147*g**7 + 4/35*g**6 + 45*g + 0*g**2 + 0*g**4 + 0 + 0*g**3 + 2/35*g**5. What is i in a(i) = 0?
-2, -2/5, 0
Let p(y) = y**2 - 6*y - 5. Let o be p(7). Let -3*v - 5 + o + 5*v**2 + v = 0. Calculate v.
-3/5, 1
Let -16/7*f**4 + 0*f - 24/7*f**2 - 2/7*f**5 + 0 - 38/7*f**3 = 0. What is f?
-4, -3, -1, 0
Let u be (24 + -24 - 2*6) + 16. Solve 0*r + 0*r**2 - 1/9*r**u + 1/9*r**3 + 0 = 0 for r.
0, 1
Let b be (2/(-30))/(-8 - 911/(-114)). Let -b*o + 2/5*o**3 + 4 + 16/5*o**2 = 0. Calculate o.
-10, 1
Let f = 231 - 235. Let q be ((-14)/(-1) + f)/16. Suppose -1/4 - q*r - 1/2*r**2 - 1/8*r**3 = 0. What is r?
-2, -1
Suppose -61 = -6*i - 37. Let n(k) be the second derivative of 0*k**3 + 0 - 1/30*k**i + 1/5*k**2 + 5*k. Factor n(q).
-2*(q - 1)*(q + 1)/5
Let s be ((-2)/(8*2))/((-47)/188). Let q(g) be the first derivative of s*g**2 + 1/6*g**3 + 1/2*g - 11. Factor q(p).
(p + 1)**2/2
Let d be ((-6)/(-3) - -2)/(-2) - -5. Factor -2/11*x**d + 0 + 2/11*x + 2/11*x**2 - 2/11*x**4.
-2*x*(x - 1)*(x + 1)**2/11
Let s(j) be the first derivative of -j**6/8 + 2*j**5/5 - 3*j**4/8 + j**2/8 - 82. Factor s(r).
-r*(r - 1)**3*(3*r + 1)/4
Let x(m) = -2*m - 27. Let r be x(-16). Let k(h) be the second derivative of -4*