 1/96*v**4 - 1/240*v**5 + 1/12*v**3 - v**2 + 0*v. Factor k(w).
-(w - 2)*(w + 1)/4
Let g(x) = 3*x + 2. Let m be g(-6). Let r be ((-1)/14)/(m/56). Determine s so that -r*s**4 + 1/2*s - 1/2*s**3 + 1/4 + 0*s**2 = 0.
-1, 1
Let s = -1 + 3. Suppose y - 2 - s = 0. Suppose 0*j - 1/4*j**y + 0 - 1/4*j**2 - 1/2*j**3 = 0. What is j?
-1, 0
Suppose 35 = 13*n - 8*n - 4*u, 0 = -3*u - 15. Suppose -2*m**2 + 0 + 1/2*m**n + 2*m = 0. What is m?
0, 2
Let n(t) be the second derivative of -t**6/165 - t**5/22 - t**4/22 + 3*t**3/11 - t. Suppose n(j) = 0. What is j?
-3, 0, 1
Let n(x) be the first derivative of 1/9*x**2 + 0*x + 8/27*x**3 + 4. Factor n(b).
2*b*(4*b + 1)/9
Let u(b) = 14*b**2 + 18. Let x(c) be the second derivative of c**4/12 + c**3/6 + 2*c. Let y(t) = u(t) - 12*x(t). Factor y(q).
2*(q - 3)**2
Let w = 1 - 1. Suppose -2*m + 3 + 3 = w. Factor 0 - 2*b**4 + 0 + b**m + b**4.
-b**3*(b - 1)
Let m(l) be the second derivative of 0*l**2 - 2*l - 1/18*l**3 + 1/60*l**5 + 0*l**4 + 0. Suppose m(o) = 0. Calculate o.
-1, 0, 1
Suppose -374*j = -370*j - 8. Factor 1/4*p**j + 9/4 + 3/2*p.
(p + 3)**2/4
Let j(m) be the third derivative of 0*m**3 + 0*m + 1/90*m**5 - 1/360*m**6 - 2*m**2 + 0*m**4 + 0. Factor j(b).
-b**2*(b - 2)/3
Let k(h) = h**3 + 3*h**2 - 4*h + 3. Let q be k(-4). Factor -18*m**4 + 2*m**5 - 2*m - 1 + 4*m - 1 - 4*m**q + 16*m**4 + 4*m**2.
2*(m - 1)**3*(m + 1)**2
Let z = -211 - -634/3. Determine y so that 1/3*y - 1/3*y**3 - 1/3 + z*y**2 = 0.
-1, 1
Let c(j) be the third derivative of 2*j**2 - 1/150*j**5 - 1/30*j**4 - 1/15*j**3 + 0 + 0*j. Factor c(b).
-2*(b + 1)**2/5
What is l in -48/7 - 96/7*l - 3/7*l**4 - 72/7*l**2 - 24/7*l**3 = 0?
-2
Factor 27*o**2 + 6*o**3 - 15*o**4 - 17*o**4 - 6*o + 5*o**4.
-3*o*(o - 1)*(o + 1)*(9*o - 2)
Factor 14*u + 3*u**3 - 4*u**2 - 4*u**4 + 0*u**5 - u**5 - 9*u**3 - 15*u.
-u*(u + 1)**4
Let t(y) be the third derivative of y**6/24 + y**5 + 15*y**4/2 - 17*y**2. Suppose t(v) = 0. What is v?
-6, 0
Let v(u) be the first derivative of u**6/12 - u**5/10 - 3*u**4/8 + u**3/6 + u**2/2 + 16. Factor v(h).
h*(h - 2)*(h - 1)*(h + 1)**2/2
Suppose -3*b - 1 + 19 = 0. Factor -6*v**2 + 5 - 6*v - 14 - 3*v + b.
-3*(v + 1)*(2*v + 1)
Suppose 0 = -5*f - 3*q - 113, 2*f + 3*f = 5*q - 145. Let u be ((-2)/f)/((-6)/(-30)). Factor 0 + 0*p - 2/5*p**2 - u*p**3.
-2*p**2*(p + 1)/5
Let m be (4 - 3)/(1/3). Find w such that 5*w + 0 + 2 + 3*w**2 - w**4 - w**m + 0*w + 0*w = 0.
-1, 2
Let i(p) be the first derivative of -7*p**3/4 + 3*p**2/2 + 9*p/4 - 7. Factor i(c).
-3*(c - 1)*(7*c + 3)/4
Let t(y) be the second derivative of y**4/30 + y**3/5 + 2*y**2/5 - 7*y. Factor t(l).
2*(l + 1)*(l + 2)/5
Let b(a) = 6*a**2 - 3. Let n(r) = -3 + r**4 + 3*r**5 - 1 + 4*r**5 - 6*r**5 + 7*r**2 - r**3. Let h(q) = -4*b(q) + 3*n(q). Find p such that h(p) = 0.
-1, 0, 1
Find c such that 2/3*c**3 + 10/3*c**2 + 0 + 0*c = 0.
-5, 0
Let j(r) = -5*r - 2. Let t be j(-1). Let a(f) be the third derivative of 0*f - 1/9*f**t - 1/18*f**4 + 0 - 3*f**2 - 1/90*f**5. Factor a(p).
-2*(p + 1)**2/3
Let h(x) be the third derivative of x**8/672 - x**6/120 + x**4/48 + 6*x**2 + 2*x. Solve h(o) = 0.
-1, 0, 1
Let b = 17/28 + -9/28. Let i = -4/63 + b. Factor -2*v**4 + 0 + 10/3*v**3 + i*v - 14/9*v**2.
-2*v*(v - 1)*(3*v - 1)**2/9
What is w in 0*w**3 + 4/17*w**4 - 4/17*w**2 + 2/17*w + 0 - 2/17*w**5 = 0?
-1, 0, 1
Let b(l) be the second derivative of l**5/15 - 4*l**4/9 + 10*l**3/9 - 4*l**2/3 - 20*l. Factor b(z).
4*(z - 2)*(z - 1)**2/3
Suppose y - 2*s - 1 = -5, -3*y + 21 = 5*s. Let t be (-5)/(25/y) + 1. Factor -1/5*a**4 - 3/5*a**2 + 0 + t*a**3 + 1/5*a.
-a*(a - 1)**3/5
Let d(m) be the first derivative of -m**5/6 + 25*m**3/18 - 10*m/3 - 24. Suppose d(l) = 0. What is l?
-2, -1, 1, 2
Suppose -34*x + 59*x - 28*x - 3*x**2 = 0. Calculate x.
-1, 0
Suppose 3/8*k**4 + 0*k - 9/8*k**3 + 3/4*k**2 + 0 = 0. Calculate k.
0, 1, 2
Let s = 49 - 33. Suppose -s = -3*p + 5*f, -3*f - f - 16 = -4*p. Solve 8/3*l**4 - 8/3*l**p + 0 - 2/3*l + 2/3*l**3 = 0.
-1, -1/4, 0, 1
Let p(w) = 3 - 1 + 7*w**4 + 4*w**5 - 8 - 7*w**2 + 2*w**3. Let u(m) = -5*m**5 - 8*m**4 - 2*m**3 + 8*m**2 + 7. Let b(a) = -7*p(a) - 6*u(a). Factor b(k).
k**2*(k - 1)*(k + 1)*(2*k - 1)
Suppose -2*q - 16 = -4*x, x - 2 = 3. Let y = 47/2 + -23. Suppose 0 + y*t + 7/4*t**q = 0. Calculate t.
-2/7, 0
What is w in -8 + 8 - 2*w - 8*w**2 + 10*w**2 = 0?
0, 1
Suppose 6*t - 4*t = -t. Let f(d) be the third derivative of 0*d**3 + t - 3*d**2 + 1/360*d**5 + 1/72*d**4 + 0*d. Factor f(k).
k*(k + 2)/6
Factor 2/3*l**5 - 112/3*l**2 + 32*l - 32/3 - 6*l**4 + 64/3*l**3.
2*(l - 2)**4*(l - 1)/3
Let l(t) = -t**2 + 2*t - 3. Let x be l(3). Let w(u) = -1. Let y(z) = 2*z**2 + 6. Let d be (-8)/6 - 5/(-15). Let i(v) = d*y(v) + x*w(v). Factor i(r).
-2*r**2
Let n(p) be the first derivative of -p**4/4 + 3*p**2/2 - 2*p + 34. What is t in n(t) = 0?
-2, 1
Let n(b) be the third derivative of -b**5/90 - 9*b**2. Suppose n(l) = 0. What is l?
0
Let o(f) be the third derivative of f**7/140 - 3*f**6/80 + f**5/40 + 3*f**4/16 - f**3/2 - 17*f**2. Let o(q) = 0. What is q?
-1, 1, 2
Suppose 0 = 3*g - 10*g. Let m be -4 + (2 - g - -2). Find q, given that 0 + m*q + 2/3*q**3 - 2/3*q**2 = 0.
0, 1
Let o = 6 + -2. Suppose 3*q = -2*h - 0*q + 15, 0 = -o*h + 3*q + 3. Factor 0*r + 1/2*r**4 - 1/2*r**2 + 1/2*r**h + 0 - 1/2*r**5.
-r**2*(r - 1)**2*(r + 1)/2
Let f(o) = o**2 + 4*o + 6. Let w be f(-3). Suppose 3/2*q**2 + 3/2*q**4 - w + 9/2*q**3 - 9/2*q = 0. Calculate q.
-2, -1, 1
Let k(f) be the second derivative of f**8/6720 - f**7/1120 + f**6/480 - f**5/480 + 2*f**3/3 + f. Let l(y) be the second derivative of k(y). Factor l(h).
h*(h - 1)**3/4
Let t(y) be the first derivative of -y**7/560 - y**6/80 - 2*y**3/3 - 1. Let z(i) be the third derivative of t(i). Factor z(o).
-3*o**2*(o + 3)/2
Let s(g) be the third derivative of g**6/120 - g**5/12 + g**4/4 - g**3 - 2*g**2. Let p be s(4). Factor -3*o + 0*o**3 + o**p + o**3 + 2*o - 1.
(o - 1)*(o + 1)**2
Let h = 16/13 - 275/234. Let o(c) be the second derivative of c + 0*c**3 + 0*c**2 + 0 - 1/15*c**5 + h*c**4 + 1/45*c**6. Find n, given that o(n) = 0.
0, 1
Let g be 2/6 + (-5984)/(-255). Let n = 25 - g. Suppose 6/5*f + 2/5*f**3 - 2/5 - n*f**2 = 0. Calculate f.
1
Factor 2/9*p**5 + 8/9*p**2 + 0 - 4/9*p**4 - 2/3*p**3 + 8/9*p.
2*p*(p - 2)**2*(p + 1)**2/9
Let n(q) be the second derivative of q**4/4 + 3*q**3/2 - 4*q + 10. Factor n(z).
3*z*(z + 3)
Suppose 3 = 3*c - g + 2, 4*c = -g + 6. Let b(j) be the first derivative of j**2 - 1/3*j**3 - c - j. Factor b(n).
-(n - 1)**2
Suppose 4*h + 3*d - 23 = -0*d, 4*h = 3*d + 17. Let n = h + -5. Determine o so that 4/9*o**3 + 0 - 2/3*o**4 + n*o + 0*o**2 = 0.
0, 2/3
Let i = 2 + 0. Suppose -3*y = z - 2*z - 3, -z = -i*y + 2. Factor 1/2*q**3 + z*q - 1/2*q**2 + 0 - 1/2*q**5 + 1/2*q**4.
-q**2*(q - 1)**2*(q + 1)/2
Let s = -11 + 6. Let w be ((-15)/6 + 0)/s. Factor 1/2*t**3 - w*t**2 + 0*t + 0.
t**2*(t - 1)/2
Let r be (-1240)/2400 + 1/((-10)/(-6)). Let u(j) be the third derivative of r*j**4 - 3*j**2 + 0 + 0*j - 1/30*j**5 + 0*j**3. Factor u(p).
-2*p*(p - 1)
Let q = 863/7 - 123. Let m(z) = -z**2 + 9*z + 2. Let r be m(9). Factor q*x**3 + 0*x + 0*x**r + 0*x**4 + 0 - 2/7*x**5.
-2*x**3*(x - 1)*(x + 1)/7
Solve -6/5 + 14/5*u + 2*u**4 - 2/5*u**5 - 12/5*u**3 - 4/5*u**2 = 0 for u.
-1, 1, 3
Let f(g) be the third derivative of 1/660*g**6 + 0 + 0*g + 1/132*g**4 + 0*g**3 - g**2 - 1/165*g**5. Factor f(b).
2*b*(b - 1)**2/11
Let s(q) be the second derivative of -q**7/42 + 2*q**6/15 - q**5/4 + q**4/6 + 22*q. What is x in s(x) = 0?
0, 1, 2
Let r(v) = -15*v**4 + 65*v**3 + 25*v - 25. Let w(z) = -2*z**4 + 8*z**3 + 3*z - 3. Let a(g) = -3*r(g) + 25*w(g). Factor a(b).
-5*b**3*(b - 1)
Let u(a) be the first derivative of -2*a**7/105 + a**6/20 - a**4/12 + 9*a**2/2 - 8. Let f(j) be the second derivative of u(j). Suppose f(b) = 0. What is b?
-1/2, 0, 1
Let q be (1 + -5)/(-38 - -36). Let 2/7 + 2/7*y**q + 4/7*y = 0. Calculate y.
-1
Let y be 6 - (-2 - -3 - -1). Suppose 6 = l + 2*l - 2*j, l = -y*j + 2. Determine t, given that t**3 + 2/3 - t - 1/3*t**l - 1/3*t**4 = 0.
-1, 1, 2
Let y(a) be the second derivative of 0 - 1/15*a**6 - 1/3*a**3 - a + 1/6*a**4 + 1/10*a**5 + 0*a**2. Find i, given that y(i) = 0.
-1, 0, 1
Let b be (3/6)/((-1)/132). Let r be -9*1*4/b. Factor 2/11*s**2 + r*s + 4/11.
2*(s + 1)*(s + 2)/11
Let o(t) be the third derivative of -t**5/1