**2*(n - 1)*(n + 1)/5
Let f(m) be the first derivative of m**5/150 - m**4/30 + 3*m**2/2 - 2. Let n(v) be the second derivative of f(v). Factor n(p).
2*p*(p - 2)/5
Let k(y) = -39*y**2 - 117*y - 78. Let v(s) = 3*s**2 + 9*s + 6. Let x(r) = 2*k(r) + 27*v(r). Determine i so that x(i) = 0.
-2, -1
Let b(o) = -o**3 - o**2 - 3*o - 3. Let a be b(-1). Factor a*r + 2/7*r**2 + 0 - 2/7*r**3.
-2*r**2*(r - 1)/7
Suppose -5*v + 0*v + 11295 = 0. Suppose 4*q - v = -j, 3*q + 6*j = 2*j + 1678. Factor -q*w**3 - 1483*w**4 + 233*w**4 + 32 + 160*w - 434*w**3.
-2*(5*w - 2)*(5*w + 2)**3
Let a(g) be the first derivative of 0*g**2 - 2 + 2/21*g**3 - g - 3/14*g**4 + 1/10*g**5. Let h(q) be the first derivative of a(q). Factor h(f).
2*f*(f - 1)*(7*f - 2)/7
Suppose -4 - 5*p**2 - 25*p + 11 + 23 = 0. What is p?
-6, 1
Find w such that 0*w + 0 - 2/7*w**3 + 2/7*w**5 + 4/7*w**2 - 4/7*w**4 = 0.
-1, 0, 1, 2
Let h = -4 + 2. Let b be (-1)/(h*2/8). Factor 6*x + x**4 + 3*x - 2 - x**2 - 4*x - x**3 - 2*x**b.
(x - 1)**3*(x + 2)
Let o(w) = w**2 - 1. Let h(y) = -4*y**2 - 2*y + 3. Let p(q) = -8*q**2 - 4*q + 5. Let a(l) = 7*h(l) - 3*p(l). Let r(i) = -a(i) - 5*o(i). Factor r(u).
-(u - 1)**2
Let u(z) be the first derivative of -z**6/36 - z**5/15 + z**3/9 + z**2/12 + 7. Factor u(v).
-v*(v - 1)*(v + 1)**3/6
Let s = -3481/3 + 1163. Factor 0*l - 2/3*l**2 + s.
-2*(l - 2)*(l + 2)/3
Let g = -1/38 + 311/266. Suppose 0 = -j - 7 + 9. Factor -10/7*v**j + 2/7 - g*v.
-2*(v + 1)*(5*v - 1)/7
Let z be (3/(-36))/(1/(-8)*15). Let b(d) be the first derivative of 0*d**2 - z*d**5 + 2/27*d**3 - 1/18*d**4 + 1/27*d**6 + 0*d - 3. Factor b(r).
2*r**2*(r - 1)**2*(r + 1)/9
Let h be (-18)/(-27)*((-11)/(-2) - -2). Factor 4/9*z**3 + 4/9*z**2 - 2/9*z**h - 2/9*z - 2/9 - 2/9*z**4.
-2*(z - 1)**2*(z + 1)**3/9
Factor 1/3 - 1/6*k + 1/2*k**3 - 2/3*k**2.
(k - 1)**2*(3*k + 2)/6
Let n(g) be the second derivative of 2*g**6/15 - 2*g**5/5 + 4*g**3/3 - 2*g**2 - 7*g. Solve n(z) = 0.
-1, 1
Let d = 2/57 - -43/399. Let o(w) be the second derivative of w + d*w**2 + 0 + 0*w**3 - 1/42*w**4. Suppose o(l) = 0. Calculate l.
-1, 1
Let k = 577/12 + -48. Let f(p) be the third derivative of -1/30*p**5 + 0*p + 1/60*p**6 + 3*p**2 - k*p**4 + 0 + 1/3*p**3. Factor f(w).
2*(w - 1)**2*(w + 1)
Let i(f) be the third derivative of -f**7/840 + f**6/240 + 3*f**5/80 - f**4/48 - f**3/3 - 9*f**2 + 2. Determine k, given that i(k) = 0.
-2, -1, 1, 4
Factor 482*s - 64*s**3 + 44*s**2 + 4 + 28*s**4 - 490*s - 4.
4*s*(s - 1)**2*(7*s - 2)
Let y = -1/61 + 63/122. Let u(v) be the second derivative of -3*v + 0*v**2 - 5/3*v**6 + 8/3*v**4 + 0 + y*v**5 + 4/3*v**3. Factor u(t).
-2*t*(t - 1)*(5*t + 2)**2
Let d = 10 - 5. Suppose 4*y + 21 = 3*v + 2, -5*v + 2*y + 27 = 0. Let -3*r**5 - r**v - r**4 + d*r**5 = 0. What is r?
0, 1
Let b = 158 - 154. Determine n, given that 1/4 - 1/2*n**3 - 3/4*n**b - 1/4*n**5 + 1/2*n**2 + 3/4*n = 0.
-1, 1
Let q(g) be the first derivative of -2*g - 1/3*g**3 - 3/2*g**2 - 3. Suppose q(o) = 0. Calculate o.
-2, -1
Let w = -3 - -5. Determine c so that -c**2 + w*c**2 - c + 0*c**2 + 0*c**2 = 0.
0, 1
Let p(v) be the first derivative of -v**5/10 - v**4/2 - 34. Factor p(d).
-d**3*(d + 4)/2
Let z be 8/(11 + (-12)/(-4)). Let r = 89/91 - 9/13. What is o in -z*o + 0 - r*o**2 = 0?
-2, 0
Let g(j) be the third derivative of -1/48*j**4 + 0 - 1/120*j**5 + 1/6*j**3 + 0*j + 3*j**2. Factor g(v).
-(v - 1)*(v + 2)/2
Let u(b) be the third derivative of b**7/35 + 11*b**6/60 + 11*b**5/30 + b**4/12 - 2*b**3/3 + 4*b**2. Factor u(v).
2*(v + 1)**2*(v + 2)*(3*v - 1)
Suppose 3*l = -i + 11, 3*l - 5*i = 1 - 20. Factor 1/7*m + 1/7 - 1/7*m**3 - 1/7*m**l.
-(m - 1)*(m + 1)**2/7
Solve 28*u**4 + 4*u**3 - 40*u**4 - 4*u**3 + 3*u**3 - 3*u + 12*u**2 = 0.
-1, 0, 1/4, 1
Let q(s) be the second derivative of -s**7/5040 - s**6/1440 - s**4/12 + 2*s. Let u(f) be the third derivative of q(f). Let u(y) = 0. Calculate y.
-1, 0
Let h(r) be the first derivative of 2*r**5/25 + r**4/10 - 2*r**3/5 - r**2/5 + 4*r/5 - 2. Factor h(p).
2*(p - 1)**2*(p + 1)*(p + 2)/5
Let j(w) = 2*w**2 - 6*w + 20. Let i(m) = -m**2 + 4*m - 13. Let k(v) = -8*i(v) - 5*j(v). Suppose k(a) = 0. What is a?
-2, 1
Suppose -2/3*s**3 + 10/3*s**2 + 4*s + 0 = 0. Calculate s.
-1, 0, 6
Let n(k) be the third derivative of k**9/504 - k**8/120 + k**7/210 - k**3/2 + 3*k**2. Let f(v) be the first derivative of n(v). Suppose f(l) = 0. Calculate l.
0, 1/3, 2
Let s(n) be the first derivative of -1 + 0*n**2 + 0*n - 1/12*n**4 - 2/3*n**3 + 0*n**5 + 1/180*n**6. Let p(v) be the third derivative of s(v). Factor p(a).
2*(a - 1)*(a + 1)
Let h(q) be the first derivative of q**5/15 - q**4/6 + q**3/6 - q**2 + 5. Let p(v) be the second derivative of h(v). Factor p(t).
(2*t - 1)**2
Let p be (2/8)/(7/56). What is h in -2/5*h**p + 2/5 + 0*h = 0?
-1, 1
Solve 0*o + 1/6*o**2 - 1/6 = 0 for o.
-1, 1
Let q(m) = -6*m**4 + 6*m**3 + m**2 + 4*m - 5. Let n(y) = 2*y**3 - 1 + 3*y**3 + y - 4*y**3 - y**4. Let i(b) = 5*n(b) - q(b). Determine t so that i(t) = 0.
-1, 0, 1
Let 1/4*f**2 + 0*f**3 + 1/8*f - 1/8*f**5 - 1/4*f**4 + 0 = 0. What is f?
-1, 0, 1
Let x be (-4)/7 + 2 - (6 + -5). Let w(s) be the first derivative of -2/7*s**3 - 2/7*s - 1 + 1/14*s**4 + x*s**2. Factor w(m).
2*(m - 1)**3/7
Let k(v) = -6*v - 1. Let j be k(-1). Let a be (-34)/(-4) - (-6)/(-12). What is n in 6*n + a*n**2 + 6*n**5 - 4*n**4 + j*n**3 - 13*n**3 - 4 - 4*n**3 = 0?
-1, 2/3, 1
Let v(o) be the second derivative of o**6/360 + 7*o**5/480 - o**4/48 - o**3/2 + 6*o. Let r(w) be the second derivative of v(w). Find m, given that r(m) = 0.
-2, 1/4
Let a(q) be the second derivative of q**5/35 - 2*q**4/21 + 12*q. Find x such that a(x) = 0.
0, 2
Let y = 46 + -46. What is u in 0*u + y*u**3 - 2/7*u**4 + 4/7*u**2 - 2/7 = 0?
-1, 1
Let r be (-6)/(6/(-2))*2. Suppose q + 3*q**2 - 3*q**3 - 1 - q**3 + q - 4*q**r = 0. What is q?
-1, 1/2
Let d = 6 - 4. Factor d*t**2 - 31*t + 31*t - 2.
2*(t - 1)*(t + 1)
Let g(k) be the third derivative of k**8/252 - k**7/63 + k**6/60 + k**5/90 - k**4/36 - 5*k**2. Suppose g(h) = 0. Calculate h.
-1/2, 0, 1
Factor 0 - 2/11*f - 1/11*f**2 + 1/11*f**3.
f*(f - 2)*(f + 1)/11
Let d = 113 - 113. Let y(k) be the first derivative of d*k + 1/8*k**2 + 3 + 1/16*k**4 + 1/6*k**3. Factor y(v).
v*(v + 1)**2/4
Let w = 2/27 - -23/54. Factor -1/2*c - c**2 + w*c**3 + 1.
(c - 2)*(c - 1)*(c + 1)/2
Let v be (-62)/(-110) - 8/40. Let w = -48 + 48. What is m in 2/11*m + 2/11*m**5 + 0*m**4 + w + 0*m**2 - v*m**3 = 0?
-1, 0, 1
Let v(h) be the first derivative of -9*h**5/5 - 25*h**4/4 - 7*h**3 - 3*h**2/2 + 2*h - 3. Let v(b) = 0. Calculate b.
-1, 2/9
Suppose 96 = 10*f + 14*f. What is a in 2/9*a**f + 0*a + 4/9*a**3 + 2/9*a**2 + 0 = 0?
-1, 0
Let k(r) be the third derivative of 5*r**2 + 1/96*r**4 + 0*r**3 + 3/160*r**6 + 0*r + 0 + 1/40*r**5. Solve k(p) = 0 for p.
-1/3, 0
Suppose 0*x - 9 = -3*o + 3*x, -4*o - 4*x = -28. Let l(a) be the third derivative of -a**2 + 1/2*a**3 + 1/4*a**4 + 0 + 0*a + 1/20*a**o. Factor l(g).
3*(g + 1)**2
Factor 16/3 + 76/3*w**2 - 160/3*w.
4*(w - 2)*(19*w - 2)/3
Let f(h) = h**3 + 8*h**2 + 7*h + 3. Let z(u) = -u**3 + 2*u**2 + 2*u - 4. Let v be z(3). Let s be f(v). Factor 4/5 - 6/5*d**s - 14/5*d + 16/5*d**2.
-2*(d - 1)**2*(3*d - 2)/5
Suppose -6 - 9/2*s**2 - 3/4*s**3 - 9*s = 0. What is s?
-2
Let l(h) be the third derivative of -h**7/350 - h**6/100 + h**4/20 + h**3/10 - 10*h**2. Factor l(b).
-3*(b - 1)*(b + 1)**3/5
Let a(w) be the second derivative of w**5/10 - w**4/6 - w**3/3 + w**2 - 9*w. Determine f so that a(f) = 0.
-1, 1
Let n(k) be the third derivative of -k**7/5880 + k**5/280 + k**4/24 - 5*k**2. Let l(s) be the second derivative of n(s). Solve l(c) = 0.
-1, 1
Factor 10/7*a - 12/7*a**2 + 0.
-2*a*(6*a - 5)/7
Let w(b) be the first derivative of 3*b**5 - 3*b**4/2 - 23. Find c such that w(c) = 0.
0, 2/5
Suppose -9 = -3*j + 9. Suppose 0 = -5*y + 4*q + j, 0*q - q + 1 = 0. Factor 2*m**4 + 2*m**4 - 9*m**5 - m**3 + y*m**4.
-m**3*(3*m - 1)**2
Find o such that -o - 1/2*o**4 + 1/2*o**2 + o**3 + 0 = 0.
-1, 0, 1, 2
Let 6*r**3 - 5*r**3 + 86*r**2 - 82*r**2 + 5 - 3 + 5*r = 0. What is r?
-2, -1
Let u(h) be the third derivative of 3*h**7/1400 - h**6/150 + h**5/200 - h**3 - 5*h**2. Let i(p) be the first derivative of u(p). Factor i(b).
3*b*(b - 1)*(3*b - 1)/5
Let s(u) = u**3 - u**2 - 2*u + 2. Let q be s(2). Suppose -4*p + 2*x = -12, -x = q*p - p