 q**2 + 14*q**3 - 2*q**5 - 5*q**2 + 2*q**k.
-2*q**2*(q - 1)**2*(q + 2)
Let w = -42 + 380/9. Factor 0*m + 0 + 2/9*m**2 + w*m**3.
2*m**2*(m + 1)/9
Factor 4*v**5 + 24*v**4 - 11*v**3 - 27*v**3 + 10*v**3.
4*v**3*(v - 1)*(v + 7)
Let o = 389/21 - 53/3. Let u(b) be the first derivative of 1 - 5/7*b**4 + 2/7*b + 6/35*b**5 + 8/7*b**3 - o*b**2. Find q such that u(q) = 0.
1/3, 1
Let f(d) be the second derivative of 3*d**5/20 - 7*d**4/24 - d**3/3 + d**2 - 3*d. Let b(i) be the first derivative of f(i). Determine a, given that b(a) = 0.
-2/9, 1
Let z be ((-116)/12)/((-1)/(-24)). Let s be -4 - (0 - z/(-44)). Solve -4/11 - 6/11*q**2 + 14/11*q + 10/11*q**4 - s*q**3 = 0.
-1, 2/5, 1
Factor -2/5*b**2 + 2/5 + 2/5*b - 2/5*b**3.
-2*(b - 1)*(b + 1)**2/5
Let s(m) be the second derivative of -5*m**4/24 + 5*m**2 + m - 6. Factor s(k).
-5*(k - 2)*(k + 2)/2
Let r = 3 + -6. Let g(i) = -3*i**4 - 3*i**3 + 7*i**2 + 7*i - 4. Let f(k) = 3*k**4 + 3*k**3 - 6*k**2 - 6*k + 3. Let j(m) = r*g(m) - 4*f(m). Factor j(q).
-3*q*(q - 1)*(q + 1)**2
Factor 2/3 + 13/3*x**3 + 19/3*x**2 + 11/3*x + x**4.
(x + 1)**2*(x + 2)*(3*x + 1)/3
Let i(v) = v**3 - v**2 + 1. Let a be i(0). Let k be (-2 - 2)*(0 - a). Find s such that 2/9*s - 8/9*s**3 + 0 + 4/9*s**k - 4/9*s**2 + 2/3*s**5 = 0.
-1, 0, 1/3, 1
Let v(x) = x**3 - 4*x**2 + 2*x - 6. Let l be v(4). Solve 0*h**l - 2/5*h**3 - 4/5 + 6/5*h = 0.
-2, 1
Let v(c) = -6*c**3 - 6*c**2. Let z(j) = -j**4 - 7*j**3 - 7*j**2 - j. Let i(b) = 2*v(b) - 3*z(b). Find r such that i(r) = 0.
-1, 0
Let -65*w**3 - 197*w - 33*w**2 + 5*w**4 - 363*w + 320 + 333*w**2 = 0. What is w?
1, 4
Let -6/11 + 6/11*a**2 + 16/11*a = 0. What is a?
-3, 1/3
Let b(l) be the second derivative of 1/4*l**4 + 0*l**3 - 1/10*l**6 + 0*l**2 + 1/14*l**7 + 0 + l - 3/20*l**5. Factor b(j).
3*j**2*(j - 1)**2*(j + 1)
Suppose 40*f = 29*f + 22. Let s(v) be the second derivative of -1/4*v**f + 3/80*v**5 + 7/48*v**4 - v + 0 - 1/8*v**3 - 1/24*v**6. Determine n so that s(n) = 0.
-1, -2/5, 1
Let d(k) be the first derivative of -k**5/240 - k**4/48 - k**3/24 + k**2/2 + 3. Let x(u) be the second derivative of d(u). Factor x(w).
-(w + 1)**2/4
Suppose -4*h = -3*h - 2. Suppose -5*j = -3*j - 40. Factor -j*k + 5*k**2 + 0 - h - 55*k**2.
-2*(5*k + 1)**2
Suppose 4*v - k = 3, 27 = -9*v + 10*v + 5*k. Determine w so that 4/17*w**v + 0 - 2/17*w - 2/17*w**3 = 0.
0, 1
Factor 5 + 3/2*s - 1/2*s**2.
-(s - 5)*(s + 2)/2
Let z(c) be the third derivative of -c**6/160 - c**5/240 + c**4/32 + c**3/24 - 6*c**2. Find n such that z(n) = 0.
-1, -1/3, 1
Let h(o) = -o**3 + 4*o**2 - o + 7. Let q be h(4). Let y(z) be the first derivative of -2 - 8/5*z - 12/5*z**2 - 6/5*z**q. Let y(j) = 0. Calculate j.
-2/3
Let g(o) be the second derivative of -o**4/36 - 2*o**3/9 - 2*o**2/3 + 8*o. Factor g(i).
-(i + 2)**2/3
Let k(x) be the first derivative of 4*x**5 - 3*x**4 - 16*x**3 - 8*x**2 - 4. Factor k(v).
4*v*(v - 2)*(v + 1)*(5*v + 2)
Suppose 0 = -2*u + u + 4. Let t(v) be the third derivative of 0 + 0*v - 1/6*v**3 + 1/60*v**6 - 1/12*v**u - v**2 + 1/15*v**5 - 1/70*v**7. Factor t(s).
-(s - 1)**2*(s + 1)*(3*s + 1)
Let f be (-6)/4*((-15)/(-9) - 2). Let k(p) be the first derivative of 1/2*p**2 - f*p + 1 - 1/6*p**3. What is l in k(l) = 0?
1
Let z(g) be the second derivative of 0 - g + 1/3*g**3 - 1/3*g**4 + 1/10*g**5 + 0*g**2. Suppose z(k) = 0. What is k?
0, 1
Let -18*y**2 + 6*y + 18 + 21*y**2 + 9*y = 0. What is y?
-3, -2
Let d(f) be the third derivative of f**7/70 + f**6/16 - 5*f**4/16 - f**3/2 + 3*f**2. Determine m so that d(m) = 0.
-2, -1, -1/2, 1
What is d in 2/3*d**3 - 2/3*d**4 - 10/3*d + 2*d**2 + 4/3 = 0?
-2, 1
Factor -1/4*q**4 - 1/2*q**3 + 1/4*q**2 + 0 + 1/2*q.
-q*(q - 1)*(q + 1)*(q + 2)/4
Let m(i) be the third derivative of -i**7/420 + i**6/90 - i**5/60 - i**3/3 + 2*i**2. Let r(c) be the first derivative of m(c). Factor r(o).
-2*o*(o - 1)**2
Let o(m) = -m**3 - 9*m**2 - 7*m + 10. Let q be o(-8). Factor 2 - j**2 + 4*j**q + 2 - 7*j**2.
-4*(j - 1)*(j + 1)
Suppose 13 = 4*f - 3. Suppose -5*i + 19 = f. Factor 0*d + 0*d**2 + 6/7*d**4 - 8/7*d**5 + 2/7*d**i + 0.
-2*d**3*(d - 1)*(4*d + 1)/7
Let r = 1 - -1. Factor z - r*z**2 + 0 + 3*z - 2.
-2*(z - 1)**2
Let s(m) be the third derivative of -m**6/540 - 2*m**5/135 - m**4/27 + 21*m**2. Factor s(h).
-2*h*(h + 2)**2/9
Let w(r) be the first derivative of -11*r**3/3 + 6*r**2 - r - 1. Let f(m) = 12*m**2 - 12*m. Let b(c) = -2*f(c) - 3*w(c). Factor b(u).
3*(u - 1)*(3*u - 1)
Let p be (85/170)/(-2*(-3)/8). Suppose -2*k**3 + 8/3*k - 8/3*k**2 - p*k**5 + 0 + 8/3*k**4 = 0. What is k?
-1, 0, 1, 2
Factor 0 + 5/3*j**3 - 7/3*j**2 - 1/3*j**4 + j.
-j*(j - 3)*(j - 1)**2/3
Suppose 5*g + 2*l = 6, -4*g - 2 = 3*l - 4. Let -9/7*j + 6/7 + 3/7*j**g = 0. What is j?
1, 2
Let x(v) be the third derivative of -v**5/270 - v**4/36 - 2*v**3/27 + 5*v**2. Suppose x(p) = 0. What is p?
-2, -1
Let s(m) be the first derivative of 0*m + 1/6*m**3 + 0*m**2 + 1/10*m**5 - 1 - 1/4*m**4. Solve s(d) = 0 for d.
0, 1
Let j(n) be the first derivative of 6/5*n**5 + 0*n**2 + 15/4*n**4 - 5/2*n**6 - 5 + 0*n - 2*n**3. Let j(z) = 0. What is z?
-1, 0, 2/5, 1
Suppose -m = -5*m + 16. Suppose p + 4 = v, -5*v - 3*p + 0*p = -m. Factor 2*n**2 + v*n**2 - 6*n**3 + 3*n**4 - n**4.
2*n**2*(n - 2)*(n - 1)
Let i(m) be the second derivative of -m**7/105 + m**6/60 + m**5/30 - m**4/12 - m**2/2 + m. Let j(z) be the first derivative of i(z). Solve j(v) = 0 for v.
-1, 0, 1
Let t(z) be the first derivative of 2*z**5/85 - 7*z**4/34 + 4*z**3/17 - 19. Factor t(a).
2*a**2*(a - 6)*(a - 1)/17
Let p = 12 + -24. Let m = -28/3 - p. What is u in 2/3 - m*u + 8/3*u**2 = 0?
1/2
Let n(g) = -g**5 - g**4 + g**3 - g**2. Let a(z) = -z**5 - 9*z**4 + 9*z**3 - 5*z**2. Let s(d) = -2*a(d) + 6*n(d). Factor s(w).
-4*w**2*(w - 1)**3
Let s(q) be the first derivative of -q + 3 + 5/2*q**2 - 1/2*q**4 - 1/2*q**6 + 7/5*q**5 - 2*q**3. Determine m, given that s(m) = 0.
-1, 1/3, 1
Let z(l) be the second derivative of -5*l**4/24 - 35*l**3/12 - 15*l**2/2 + 21*l. Let z(t) = 0. Calculate t.
-6, -1
Let a(u) be the third derivative of u**6/120 + 3*u**2. Factor a(l).
l**3
Suppose 3*z + 108 = -z. Let l be (6/z)/(1/(-3)). Let 0 + 4/3*s**3 + 0*s**4 - l*s - 2/3*s**5 + 0*s**2 = 0. Calculate s.
-1, 0, 1
Let d(m) be the first derivative of -4 - 15/2*m**2 + 13/3*m**3 + 2*m. Factor d(l).
(l - 1)*(13*l - 2)
Factor -44*p + 25*p**2 + 14*p - 6*p + 20 + 10*p**3 - 19*p.
5*(p - 1)*(p + 4)*(2*p - 1)
Find c, given that 1/2*c**2 + 0 + 1/2*c = 0.
-1, 0
Factor 4/7 - 6/7*p + 2/7*p**2.
2*(p - 2)*(p - 1)/7
Let w(k) = 3*k - 5 + 2 + k**2 + 2*k. Let y be w(-6). Let -2*a**5 + 2*a**4 + a**y - 2*a**2 + 4*a**5 - 3*a**3 = 0. What is a?
-1, 0, 1
Let -4/23*p - 2/23*p**2 + 0 = 0. What is p?
-2, 0
Let l be (-6)/8 - (-58)/224*4. Let y = -1/2 - -11/14. Let -2/7*w**4 + 0 - 2/7*w**3 + y*w + l*w**2 = 0. What is w?
-1, 0, 1
Suppose 9*w + 3 = r + 4*w, 4*r - 5*w = -3. Let l be 4 - r/(6/(-3)). Factor -14/5*t**l + 0 + 2/5*t + 4/5*t**2 + 8/5*t**4.
2*t*(t - 1)**2*(4*t + 1)/5
Let t(a) = 17*a**2 - 9*a. Let k(p) = -4*p**2 + 2*p. Let b(y) = -18*k(y) - 4*t(y). Factor b(r).
4*r**2
Let u = 49 - 47. Let i = 8 - 6. Factor u + 2*r**i - 2 + 2*r + 0*r.
2*r*(r + 1)
Determine y, given that y + 4*y**3 + 44*y**2 - 39*y**2 + y**4 + y = 0.
-2, -1, 0
Let v = -502/15 + 104/3. Determine s, given that -22/5*s + 8/5*s**2 - v = 0.
-1/4, 3
Let o be (-11)/(-22)*(-5)/(-2). What is f in -o*f**2 - 3*f - 1 = 0?
-2, -2/5
Let o = 17 - 21. Let y(p) = -15*p**2 - 90*p - 156. Let v(f) = 3*f**2 + 18*f + 31. Let d(u) = o*y(u) - 21*v(u). Factor d(b).
-3*(b + 3)**2
Let m(h) = -h**3 + h. Let b(g) = -g**3 - 4*g**2 - 4*g - 2. Let n be b(-3). Let f(s) = s**3 + 4*s**2 - 3*s - 2. Let c(p) = n*f(p) + 4*m(p). Factor c(l).
-(l - 1)**2*(3*l + 2)
Let s(y) be the first derivative of -1 - 1/5*y**2 + 4/5*y - 2/15*y**3. Factor s(d).
-2*(d - 1)*(d + 2)/5
Let y(f) be the first derivative of 0*f - 3 + 1/10*f**5 + 0*f**2 + 1/6*f**3 + 1/4*f**4. Factor y(o).
o**2*(o + 1)**2/2
Let g(u) = -u**5 + 6*u**2 - 6 + 2*u - 2*u + 13*u**5 - 2*u**3 - 10*u**4. Let t(a) = a**5 - a**3 + a**2 - 1. Let c(b) = g(b) - 6*t(b). Factor c(w).
2*w**3*(w - 1)*(3*w - 2)
Suppose 3*s + 11 = 2*s. Let b(c) = 7*c**2 + 7*c + 6. Let o(d) = -13*d**2 - 13*d - 11. Let w(v) = s*b(v) - 6*o(v). Factor w(q).
q*(q + 1)
Determine f so that -9/4*f**2 - 3/4*f**4 + 3 - 3*f + 3*f**3 = 0.
-1, 1, 2
