+ 0*b + 1/120*b**5 - 1/224*b**8. Factor z(r).
-r**2*(r - 1)**2*(3*r - 1)/2
Let s(i) be the second derivative of 7*i**4/6 + 7*i**3/3 - 2*i. Let d(u) = -5*u**2 - 5*u. Let w be (1 - 14/8)*4. Let g(v) = w*s(v) - 8*d(v). Factor g(j).
-2*j*(j + 1)
Let f(s) be the first derivative of -1/7*s**2 + 1/35*s**5 + 1/14*s**4 + 0*s - 1/21*s**3 + 6. Let f(m) = 0. Calculate m.
-2, -1, 0, 1
Let q(m) = -3*m**4 - 10*m**3 - 12*m**2 - 2*m - 2. Let o(t) = -39*t**4 - 129*t**3 - 156*t**2 - 27*t - 27. Let n(c) = 2*o(c) - 27*q(c). Factor n(x).
3*x**2*(x + 2)**2
Let i(j) be the second derivative of 1/8*j**3 - 1/48*j**4 + 0 - 1/4*j**2 - j. Let i(d) = 0. Calculate d.
1, 2
Suppose 0*h**2 - 3 + 9 - h**2 - 2 = 0. What is h?
-2, 2
Let c = 1372/845 - 4/169. Factor -2/5*h**2 - 8/5 - c*h.
-2*(h + 2)**2/5
Suppose -2*t + c + 20 = -c, -4*c = -20. Let a be 8/(-14)*(-35)/t. Factor 4/3*u - 1/3*u**2 - a.
-(u - 2)**2/3
Suppose -80*w**2 + 35*w**3 + 20*w + 110 - 110 = 0. What is w?
0, 2/7, 2
Suppose -k + 12 = 3*j, -3*k - j + 4 = -0*j. Factor 7*n + k - 3*n + 2 + 2*n**2.
2*(n + 1)**2
Let a(b) be the second derivative of 0 - 2/15*b**5 - 20/9*b**3 - 4/3*b**2 + 2*b - 17/18*b**4. Solve a(t) = 0 for t.
-2, -1/4
Let n(g) be the second derivative of -g**5/50 + g**4/10 - 2*g**3/15 - 2*g. What is l in n(l) = 0?
0, 1, 2
Let w(n) = 6*n**2 - 34*n - 12. Let o be w(6). Let f(m) be the first derivative of -2/9*m**3 + 2/15*m**5 + 0*m**2 - 3 + 1/9*m**6 + o*m - 1/6*m**4. Factor f(u).
2*u**2*(u - 1)*(u + 1)**2/3
Factor 2/3 + 1/3*n - 1/3*n**2.
-(n - 2)*(n + 1)/3
Suppose -h = 7*s - 2*s - 28, -4*h + 188 = s. Factor -2*w**5 - 2*w**4 - 48*w + h*w.
-2*w**4*(w + 1)
Let a(z) = z**3 - 3*z**2 - 3*z - 2. Let x be a(4). Factor 0*y - 5*y + 13*y - 4*y**3 + 4*y**x.
-4*y*(y - 2)*(y + 1)
Let y = -15 + 15. Factor 3/5*t**2 - 3/5*t**4 + y + 2/5*t - 2/5*t**3.
-t*(t - 1)*(t + 1)*(3*t + 2)/5
Let k be 2/8 + (-25081)/196. Let g = k + 128. Factor g*v**2 + 8/7*v + 8/7.
2*(v + 2)**2/7
Let r(x) be the first derivative of -x**6/39 + 6*x**5/65 - x**4/13 - 4*x**3/39 + 3*x**2/13 - 2*x/13 + 3. Factor r(g).
-2*(g - 1)**4*(g + 1)/13
Let q(o) = -3*o**4 + 7*o**3 + 7*o**2 - 3*o + 4. Let v(k) = -3*k**4 + 6*k**3 + 6*k**2 - 3*k + 3. Let d(x) = 3*q(x) - 4*v(x). Suppose d(f) = 0. What is f?
-1, 0, 1
Let y = 26 - 22. Let u(j) be the first derivative of 1/5*j**5 - 1 + 0*j**2 + j - 2/3*j**3 + 0*j**y. Let u(a) = 0. Calculate a.
-1, 1
Let s(w) be the first derivative of 0*w + 3/14*w**4 + 2/21*w**3 + 2 + 0*w**2. Factor s(q).
2*q**2*(3*q + 1)/7
Suppose 0 - 1/4*m**3 + 1/4*m**4 - 1/4*m**2 + 1/4*m = 0. Calculate m.
-1, 0, 1
Let u(f) = -f**2 + f - 1. Let l(r) = -5*r**2 - 6. Let m(s) = 5*l(s) - 30*u(s). Suppose m(o) = 0. Calculate o.
0, 6
Let z = -12788/105 - -609/5. Let m(t) be the third derivative of -1/40*t**6 - z*t**7 + 0*t**3 + 1/15*t**5 - t**2 + 0 + 0*t + 1/6*t**4 + 1/336*t**8. Factor m(u).
u*(u - 2)**2*(u + 1)**2
Let j(m) be the third derivative of 0*m - 1/36*m**5 - 1/72*m**6 - 1/252*m**7 - 1/36*m**3 - 5/144*m**4 - 1/2016*m**8 - 4*m**2 + 0. Suppose j(h) = 0. Calculate h.
-1
Solve 11*q**2 - 4 - 12*q**2 + 5 = 0.
-1, 1
Let w(o) be the third derivative of o**6/10 + 4*o**5/15 + o**4/6 - 2*o**2. Solve w(a) = 0 for a.
-1, -1/3, 0
Let d(n) be the second derivative of 0*n**6 - 3/80*n**5 + 1/168*n**7 + 0*n**3 - 1/24*n**4 - 6*n + 0 + 0*n**2. Factor d(y).
y**2*(y - 2)*(y + 1)**2/4
Let y(x) be the first derivative of -3*x**2 + 1 + 2/3*x**3 + 3/2*x**4 - 2*x. Factor y(b).
2*(b - 1)*(b + 1)*(3*b + 1)
Let g(q) be the second derivative of q**5/4 - 5*q**4/2 + 10*q**3 - 20*q**2 - 27*q. Factor g(b).
5*(b - 2)**3
Let h(s) = -3*s**4 + 7*s**3 - 2*s**2 - 2*s + 5. Let o(v) = v**4 - 3*v**3 + v**2 + v - 2. Let b(q) = -2*h(q) - 5*o(q). Solve b(x) = 0 for x.
-1, 0, 1
Suppose -121*m + 118*m = -6. Suppose 1/2 + 3/4*q + 1/4*q**m = 0. What is q?
-2, -1
Suppose -z + 10 = 4*z - 4*v, -5*z = -2*v - 10. Let h = 481/134 + -6/67. Solve 0 - 13/2*k**4 - z*k**5 - h*k**2 - 1/2*k - 15/2*k**3 = 0.
-1, -1/4, 0
Let y(c) be the first derivative of -c**5/90 - c**4/18 - c**3/9 - 2*c**2 + 3. Let n(h) be the second derivative of y(h). Factor n(o).
-2*(o + 1)**2/3
Let v be -1*(2 + -9) - 3. Let n = 17/4 - v. Let 1/4*b**2 + 0 + n*b = 0. Calculate b.
-1, 0
Let h(b) be the third derivative of -b**8/10080 + b**7/1260 - b**6/360 - b**5/20 + 2*b**2. Let t(a) be the third derivative of h(a). Solve t(v) = 0.
1
Let u(j) be the third derivative of -j**8/588 + j**6/210 + 39*j**2. Factor u(z).
-4*z**3*(z - 1)*(z + 1)/7
Let q(r) be the first derivative of r**5/5 - r**4/4 - 12. Factor q(u).
u**3*(u - 1)
Suppose -11 = -3*n + 7. Suppose 5*c + 8 = 4*x, 7*c - 3*x = 2*c - n. Suppose c + 1/3*d**2 - 1/3*d = 0. What is d?
0, 1
Suppose 2*s - 1 = -p, -3*s + 5*p = 2*p - 24. Factor -6*z**3 + 14*z**s - 3*z - 4*z**5 - z.
-4*z*(z - 1)**2*(z + 1)**2
Factor -36*s**2 + 27*s - 2*s**5 + 4*s**4 - 6*s**3 + 5*s**5 + 4*s**4 + 4*s**4.
3*s*(s - 1)**2*(s + 3)**2
Let y(r) be the second derivative of -r + 2/3*r**6 + 11/6*r**4 + 0*r**2 - 19/10*r**5 + 0 - 2/3*r**3. Solve y(s) = 0.
0, 2/5, 1/2, 1
Let l(c) = -c**2 - 3*c + 4. Let q be l(-4). Let o be ((-1 - -1) + -2)*-1. Solve 4/3*k**3 + q + 2/3*k - 2*k**o = 0.
0, 1/2, 1
Suppose 5*o + 21 + 4 = j, 0 = -4*j + 4*o + 20. Find c such that 0 - 2*c - 7*c**2 + j*c + 0 = 0.
-2/7, 0
Let a(j) be the third derivative of -2/5*j**3 + 3/200*j**6 + 1/20*j**5 + 0*j - 1/10*j**4 + 3*j**2 + 0. Factor a(f).
3*(f - 1)*(f + 2)*(3*f + 2)/5
Let j(d) be the first derivative of 4 + 2/27*d**3 - 4/9*d + 1/9*d**2. Factor j(x).
2*(x - 1)*(x + 2)/9
Let i(c) be the first derivative of c**5 - 5*c**4/4 - 5*c**3/3 + 5*c**2/2 - 21. Find g, given that i(g) = 0.
-1, 0, 1
Let o be (-21)/(-4) - 2/8. Suppose g - o + 2 = 0. Suppose -8/3*b - 8/3*b**4 + 2/3 + 8/3*b**g + 2*b**2 = 0. Calculate b.
-1, 1/2, 1
Let g(t) be the third derivative of 0*t + 0*t**5 + 0*t**3 + 1/504*t**8 + t**2 + 0 + 0*t**7 - 1/90*t**6 + 1/36*t**4. Determine f, given that g(f) = 0.
-1, 0, 1
Let i(b) = -8*b**5 - 16*b**4 + 7*b**3 - 7*b**2 + 7. Let c(r) = 4*r**5 + 8*r**4 - 4*r**3 + 4*r**2 - 4. Let n(j) = -7*c(j) - 4*i(j). Factor n(d).
4*d**4*(d + 2)
Let t(c) be the second derivative of -2*c**7/189 - 8*c**6/135 - c**5/9 - 2*c**4/27 + 27*c. Find w such that t(w) = 0.
-2, -1, 0
Let v(h) = 4*h - 3. Let b be v(2). What is f in -2*f + b*f - 3*f**3 + f**4 + 0*f**4 + 3*f**2 - 4*f**4 = 0?
-1, 0, 1
Suppose 15 = 5*o - 2*a, 3*o + a = 5*a - 5. Factor -1/3*t + 0*t**4 + 0 - 1/3*t**o + 0*t**2 + 2/3*t**3.
-t*(t - 1)**2*(t + 1)**2/3
Let b(l) be the first derivative of -2*l**5/5 + 2*l**3/3 - 8. Solve b(a) = 0 for a.
-1, 0, 1
Let y = 7 + -15. Let b be ((-6)/4 - -1)*y. Factor 2/3*i**2 + 0*i - 2/3*i**3 + 2/3*i**5 - 2/3*i**b + 0.
2*i**2*(i - 1)**2*(i + 1)/3
Factor -k**4 + 4*k**4 - 12*k**3 + 2*k**2 + 18*k**3 + 2*k**5 + 3*k**4.
2*k**2*(k + 1)**3
Let r be (50 + -40)/((-1)/(-1) - -1). Suppose 4/11*b**4 + 0*b - 6/11*b**r + 0*b**2 + 2/11*b**3 + 0 = 0. What is b?
-1/3, 0, 1
Let a be (-2)/9 + 102/459. Solve -4/5*m + 0 - 6/5*m**2 + 2/5*m**4 + a*m**3 = 0 for m.
-1, 0, 2
Let i(j) be the third derivative of j**7/35 + j**6/30 - 2*j**5/15 - j**4/6 + j**3/3 - 59*j**2. Let i(g) = 0. What is g?
-1, 1/3, 1
Let g(o) be the first derivative of o**5/10 - o**4/24 - o**3/2 - o**2/4 + o/3 - 31. Factor g(p).
(p - 2)*(p + 1)**2*(3*p - 1)/6
Let p(n) = -4*n**2 - 7*n - 1. Let i(a) = 23*a**2 + 41*a + 7. Let u(h) = -8*h - 1. Let b be u(1). Let d = -15 - b. Let z(j) = d*i(j) - 34*p(j). Factor z(s).
-2*(s + 2)**2
Let n be (6/15)/(2/10). Find c, given that 3*c**4 - 4*c**4 - c**2 + c**3 + n*c**4 - c = 0.
-1, 0, 1
Let g(s) be the first derivative of 24*s**3 + 84*s**4 - 27/2*s**2 - 5 - 6*s. Factor g(q).
3*(4*q + 1)**2*(7*q - 2)
Let o(p) be the second derivative of -p**6/15 + 2*p**5/5 - 5*p**4/6 + 2*p**3/3 - 3*p. Find u such that o(u) = 0.
0, 1, 2
Let u(n) be the third derivative of 0*n - n**2 + 0*n**4 + 0*n**6 + 0 + 0*n**3 + 0*n**5 - 1/315*n**7. Factor u(o).
-2*o**4/3
Let z(v) be the first derivative of 5 + 1/2*v**2 - 2/5*v + 7/15*v**3. Solve z(n) = 0.
-1, 2/7
Suppose -3 - 3 = -3*m. Factor m + n**4 - n**3 + 4*n - 3*n**2 - 5*n + 2*n.
(n - 2)*(n - 1)*(n + 1)**2
Suppose 8*o - 3*o + 13 = -y, -7 = y + 2*o. Let m be y/((-1)/((-18)/(-8))). Suppose -9/4*h - m*h**3 + 27/4*h**2 + 1/4 = 0. What is h?
1/3
Suppose -29*h = -33*h. Let t(l) be the second de