t i(v) = z*x(v) - 4*n(v). Factor i(h).
h**2*(h - 1)*(h + 1)
Factor 7*s + 3*s**4 - 4*s**2 + s**4 - 7*s.
4*s**2*(s - 1)*(s + 1)
Let f(s) be the first derivative of -s**3/3 + 6*s**2 - 9*s - 1. Let h be f(11). Let -1/3*r**3 + 1/3*r**h + 0*r + 0 = 0. What is r?
0, 1
Suppose 0 = 2*h + 4*n - 20, 0 = -3*h + 7*h - 5*n + 25. Suppose -5*u + 19 = -l, l + h*l = -4. Factor 1 - t**2 - t + 4*t**3 - t**3 - 2*t**u + 0.
(t - 1)**2*(t + 1)
Suppose 0 = -4*v - q + 10, -5*v = -3*q - 4 - 0. Let w(b) be the second derivative of 0 + 1/24*b**3 + 3*b - 1/4*b**v + 1/48*b**4. Find h such that w(h) = 0.
-2, 1
Let i = -5167/10 - -516. Let y = i + 6/5. Factor -1/2*p**2 + p + 0 - y*p**3.
-p*(p - 1)*(p + 2)/2
Let r(j) be the second derivative of 0 + 1/20*j**6 + 0*j**3 + 0*j**5 - 1/84*j**7 + 0*j**2 + 4*j - 1/6*j**4. Let r(c) = 0. What is c?
-1, 0, 2
Let u = -395 - -395. Factor 1/2*g**2 + 1/2*g + u.
g*(g + 1)/2
Let y be (-5)/(10/(-4)) - -13. Suppose a - 6*a + y = 0. Factor 16/3*w**2 + 0 + 32/3*w**a + 2/3*w.
2*w*(4*w + 1)**2/3
Suppose -5 = -h + 6*h + 5*o, -32 = -3*h + 4*o. Find b, given that -b**2 - 3*b - 2*b**4 - b**4 + 3*b**3 + h*b**2 = 0.
-1, 0, 1
Let -1/2*q**4 + 1/2*q + 1/2*q**2 - 1/2*q**3 + 0 = 0. What is q?
-1, 0, 1
Let q(v) be the third derivative of v**8/13440 - v**7/2016 + v**6/720 - v**5/480 + v**4/8 + 2*v**2. Let b(f) be the second derivative of q(f). Factor b(m).
(m - 1)**2*(2*m - 1)/4
Let k(a) be the first derivative of 16*a**4 + 224*a**3/3 + 50*a**2 + 12*a - 12. Find g such that k(g) = 0.
-3, -1/4
Let b(s) = s**2 + 11*s + 12. Let j be b(-9). Let o = j - -13. Suppose 25*w**3 + 3 - 24*w - 17*w**2 - o + 20*w**3 = 0. What is w?
-2/5, -2/9, 1
Find c such that 2/17*c + 8/17*c**2 - 8/17 - 2/17*c**3 = 0.
-1, 1, 4
Suppose 60 + 60 = 5*k. Suppose 4*v = h - 8, -4*h = -4*v - k + 4. Factor 3/2*d**2 + d + 1/4*d**h + 1/4 + d**3.
(d + 1)**4/4
Let d be (8/50)/(-2)*(-5 + 0). What is v in -1/5*v**4 + d*v**3 - 1/5*v**5 - 1/5*v - 1/5 + 2/5*v**2 = 0?
-1, 1
Let w(a) be the third derivative of -a**11/15840 - a**10/4200 - a**9/6720 + a**8/3360 + a**5/20 + 3*a**2. Let h(i) be the third derivative of w(i). Factor h(n).
-3*n**2*(n + 1)**2*(7*n - 2)
Let p = 1 - 0. Suppose 0 = -q + 1 + p. Determine b, given that -4*b**3 - b**2 - 6*b**q + 3*b**5 + b + 2 + b**2 + 4*b**4 = 0.
-1, 2/3, 1
Let q(d) be the first derivative of -3*d**6/4 - 9*d**5/2 - 33*d**4/4 - 58*d**3/9 - 2*d**2 - 37. Factor q(y).
-y*(y + 3)*(3*y + 2)**3/6
Let h(x) be the first derivative of x**8/840 + x**7/210 - x**5/30 - x**4/12 - x**3/3 - 4. Let f(t) be the third derivative of h(t). Factor f(l).
2*(l - 1)*(l + 1)**3
Let y(g) be the second derivative of 8*g**6/5 + 18*g**5/5 + 9*g**4/4 + g**3/2 - 7*g. Factor y(a).
3*a*(a + 1)*(4*a + 1)**2
Let n(f) be the third derivative of f**6/240 - f**5/60 + 10*f**2. Let n(l) = 0. Calculate l.
0, 2
Let q(w) = w**4 + w**2 + 1. Let g(a) be the third derivative of -a**7/21 + a**6/24 - 7*a**5/60 - a**3 + 2*a**2. Let z(y) = -g(y) - 6*q(y). Factor z(k).
k**2*(k - 1)*(4*k - 1)
Let n(q) be the first derivative of q**5/10 + 5*q**4/8 + 4*q**3/3 + q**2 - 9. Factor n(l).
l*(l + 1)*(l + 2)**2/2
Let c(u) = u**2 + 7*u + 8. Let z be c(-8). Suppose z = 4*i - 4*q, q = 3*i + 2*q + 4. Suppose 0*r + 1/3*r**3 + i*r**2 + 1/3*r**4 + 0 = 0. What is r?
-1, 0
Let m(v) be the first derivative of -v**6/60 - 3*v**5/10 - 9*v**4/4 - 9*v**3 + 3*v**2 - 5. Let s(d) be the second derivative of m(d). Factor s(c).
-2*(c + 3)**3
Find j, given that 0*j**3 - 10/13*j**2 + 8/13 + 2/13*j**4 + 0*j = 0.
-2, -1, 1, 2
Let t = -79/53 + -589/636. Let f = -13/6 - t. Determine w so that 0 + f*w**4 - 1/4*w**3 - 1/4*w**2 + 1/4*w = 0.
-1, 0, 1
Suppose -2*h = -7*h + 30. Solve 4 - n**2 + 3 - h = 0 for n.
-1, 1
Let f(c) = 7*c**2 - 5*c - 6. Let o(h) = -15*h**2 + 12*h + 12. Let p(r) = 9*f(r) + 4*o(r). Factor p(d).
3*(d - 1)*(d + 2)
Factor 22*w**2 - 4*w - 6*w**2 + 4*w**4 - 6*w**5 + 2*w**5 - 24*w**3 + 12*w**4.
-4*w*(w - 1)**4
Let b be (-12)/16 + 29/28. Factor 4/7*y + 2/7*y**2 + b.
2*(y + 1)**2/7
Let t(u) be the third derivative of -u**8/336 + u**7/210 + u**6/60 - u**5/30 - u**4/24 + u**3/6 - 3*u**2. Let t(s) = 0. Calculate s.
-1, 1
Suppose 0 = -k - 5*d - 17 + 46, -2*d + 10 = 0. Let p(z) = 2*z - 3. Let y be p(k). Factor -3*h**y - 2*h**2 + h**5 + 6*h**2 - 4*h**4 + 2*h.
-2*h*(h - 1)*(h + 1)**3
Let j = -141 - -707/5. Factor -1/5 - 2/5*i + 1/5*i**2 + j*i**3.
(i - 1)*(i + 1)*(2*i + 1)/5
Let f(o) = 7*o**5 + 12*o**4 - 10*o**2 + 9. Let p(x) = -x**5 - x**4 + x**2 - 1. Suppose 5 = -5*r + 15. Let a(l) = r*f(l) + 18*p(l). Factor a(c).
-2*c**2*(c - 1)**2*(2*c + 1)
Let a(p) be the second derivative of -p**5/80 + p**4/48 + 10*p. Factor a(x).
-x**2*(x - 1)/4
Let d(h) be the first derivative of -h**4/8 + h**2/4 + 3. What is p in d(p) = 0?
-1, 0, 1
Let r = 67/174 - 3/58. Let k = 0 - -2. Factor 0*i + r - 1/3*i**k.
-(i - 1)*(i + 1)/3
Solve 642*r**2 - 20 - r**3 + 20*r - 4*r**3 - 637*r**2 = 0.
-2, 1, 2
Let z = 261 + -258. Factor -6/5 + 3/5*j + 6/5*j**2 - 3/5*j**z.
-3*(j - 2)*(j - 1)*(j + 1)/5
Let s(q) be the first derivative of -q**4/4 + 5*q**3/3 + q**2/2 - 5*q - 1. Let a be s(5). Factor 2/9*k - 2/9*k**3 + a*k**2 + 0.
-2*k*(k - 1)*(k + 1)/9
Let k(t) = -t**2 - 13*t + 3. Let w be k(-13). Let d(s) be the first derivative of -1/15*s**5 + 1 + 5/12*s**4 + 2/3*s**2 - 8/9*s**w + 0*s. Factor d(i).
-i*(i - 2)**2*(i - 1)/3
Let b(k) be the third derivative of 4/9*k**3 - 1/30*k**5 + 0*k - 1/90*k**6 + 1/315*k**7 + 0 + 1/9*k**4 + 2*k**2. Solve b(x) = 0 for x.
-1, 2
Let u(t) be the third derivative of 0*t**3 - 1/360*t**6 + 2*t**2 + 0*t + 1/90*t**5 + 0 - 1/72*t**4. Factor u(x).
-x*(x - 1)**2/3
Let o(r) be the first derivative of 0*r**2 + 1/54*r**4 + 0*r**3 + 1/90*r**5 - 2 - r. Let v(n) be the first derivative of o(n). Factor v(f).
2*f**2*(f + 1)/9
Let z(a) = -5*a - 6. Let m be z(-2). Let v be (-9)/(-24)*m/6. Factor 0 + 0*y - 1/4*y**4 - v*y**2 + 1/2*y**3.
-y**2*(y - 1)**2/4
Let d(a) = -a**2 + 22*a + 2. Let b be d(22). Let c be (-6)/(-5)*(6 - 5). Factor 2/5*x**3 + 0*x**b - 4/5 - c*x.
2*(x - 2)*(x + 1)**2/5
Suppose -5*j = 4*h - 17, -h + 3*j + 49 = 4*h. Suppose -h*c + 3 = -13. Find x such that 4*x**c - 8/3*x**3 + 14/3*x - 2*x**5 + 4/3 - 16/3*x**4 = 0.
-1, -2/3, 1
Let h(p) be the second derivative of p**5/360 - p**4/144 - p**3/18 + p**2 + 3*p. Let o(c) be the first derivative of h(c). Let o(u) = 0. Calculate u.
-1, 2
Let j(k) = k**3 - k**2 - 1. Let w(a) = 5*a**4 + 70*a**3 + 235*a**2 + 180*a - 5. Let p(z) = 5*j(z) - w(z). Find f such that p(f) = 0.
-6, -1, 0
Let g be (-402)/(-36) - 6 - (-1)/(-6). Determine a so that -g*a + 3/2 + 6*a**2 - 3*a**3 + 1/2*a**4 = 0.
1, 3
Suppose 0*w - 4*w + 12 = 2*m, 0 = 3*m - 2*w - 10. Let k(n) be the first derivative of -2 + 2*n**2 - n**m + 4*n - 1/5*n**5 - n**3. Solve k(u) = 0 for u.
-2, -1, 1
Find d, given that 6/17*d**2 + 14/17*d + 4/17 = 0.
-2, -1/3
Let o be (-16)/(-4) - (0 - (-14)/5). Factor -4/5 - o*i - 2/5*i**2.
-2*(i + 1)*(i + 2)/5
Let z(x) be the second derivative of x**5/170 - 4*x**3/51 + 24*x. Factor z(h).
2*h*(h - 2)*(h + 2)/17
Let o(y) be the first derivative of y**5/20 + y**4/4 - y**3/6 - 3*y**2/2 + 9*y/4 - 21. What is r in o(r) = 0?
-3, 1
Let d(r) be the third derivative of -r**8/168 - r**7/105 + r**6/60 + r**5/30 - 27*r**2. Factor d(b).
-2*b**2*(b - 1)*(b + 1)**2
Let m(u) = -5*u**4 - 2*u**3 + 6*u**2 - 5. Let g(p) = -p**4 - p**3 - 1. Let o(t) = -t + 4. Let w be o(3). Let l(k) = w*m(k) - 2*g(k). Factor l(s).
-3*(s - 1)**2*(s + 1)**2
Let s(f) be the first derivative of -5*f**6/36 - 4*f**5/15 - f**4/24 + f**3/9 - 15. Factor s(o).
-o**2*(o + 1)**2*(5*o - 2)/6
Let x(f) be the third derivative of f**8/378 - 4*f**7/945 - f**6/180 + 2*f**5/135 - f**4/108 - 8*f**2. Suppose x(q) = 0. What is q?
-1, 0, 1/2, 1
Let d = 8 - 6. Find t, given that -4 + 2*t + d - t + t**2 + 0*t**2 = 0.
-2, 1
Suppose s = 3*s. Let w(r) be the first derivative of s*r**2 - 2 + 0*r - 1/3*r**6 + 1/2*r**4 + 2/15*r**3 - 2/25*r**5. What is o in w(o) = 0?
-1, -1/5, 0, 1
Let g(w) be the third derivative of -w**8/560 - w**7/70 - 3*w**6/100 + w**5/25 + w**4/5 - 34*w**2. Factor g(o).
-3*o*(o - 1)*(o + 2)**3/5
Let w = -4588/9 + 510. Determine y so that w*y**3 - 4/9*y - 2/9*y**2 + 0 = 0.
-1, 0, 2
Let n(q) = -4*q - 58. Let k be n(-15). Factor 0 + 0*l - 1/3*l**k + 1/3*l**3.
l**2*(l - 1)/3
Let v(y) be the thi