7*b + 2/7*b**3 + 0 - 6/7*b**2.
2*b*(b - 2)*(b - 1)/7
Let n(u) = u**2 + 1. Let g be n(-2). Let s(t) = -t**2 + 6*t + 3. Let o be s(g). Factor -12*b**3 + 5*b**4 + 0*b**2 - 13*b**4 - 2*b**5 - 2*b - o*b**2.
-2*b*(b + 1)**4
Let j(z) be the first derivative of -z**5/270 + z**4/108 - z**2/2 + 2. Let o(b) be the second derivative of j(b). Factor o(f).
-2*f*(f - 1)/9
Let z be (-25)/50 - (-10)/12. Let v(w) be the first derivative of 3 + 0*w**2 + z*w - 1/9*w**3. Factor v(l).
-(l - 1)*(l + 1)/3
Let v(h) = 1. Let c(p) = -p + 10. Let g(b) = c(b) + 3*v(b). Let d be g(8). Factor 6*m**3 + 6*m**5 + m**2 + 14*m**4 - 2*m**3 - 3*m**2 + 2*m**d.
2*m**2*(m + 1)**2*(4*m - 1)
Suppose f = -39 - 36. Let w be 35/f*(-36)/2. Find z such that -w*z**5 - 8/5 - 74/5*z**2 - 6/5*z**3 + 48/5*z + 82/5*z**4 = 0.
-1, 2/7, 2/3, 1
Let -23*i**2 + 4 - 4 + 15*i - 17*i**2 + 30*i**3 - 5*i**5 = 0. What is i?
-3, 0, 1
Suppose -2*m = 4*f - 18, 2*m = -f + 7 + 5. Determine q so that -2/7*q**5 + 8/7 + 6/7*q**4 - 2*q**f + 0*q + 2/7*q**3 = 0.
-1, 1, 2
Let t(k) = -7*k**2 - 4*k - 7. Let g(r) be the first derivative of -2*r**3 - 2*r**2 - 6*r - 2. Let i(s) = 5*g(s) - 4*t(s). Solve i(f) = 0.
-1
Let a(y) be the second derivative of y**6/420 + y**5/210 - y**4/21 - 4*y**3/21 + y**2 - 9*y. Let v(x) be the first derivative of a(x). Factor v(m).
2*(m - 2)*(m + 1)*(m + 2)/7
Suppose 0 = -5*l - 4*u + 27, 2*l - 8 = -5*u + 13. Factor 4 + p**3 + 0*p + p + 3*p**2 - l + 2*p.
(p + 1)**3
Let h(f) = 17*f**2 + 1. Let d be h(-1). Factor 2*j**4 - 17*j**2 + j**5 + 2*j + 2*j**3 - 5*j**3 + d*j**2 - 3*j**4.
j*(j - 2)*(j - 1)*(j + 1)**2
Let p(t) be the first derivative of 98*t**5/9 - 287*t**4/18 + 4*t**3/9 + 44*t**2/9 - 16*t/9 + 49. What is g in p(g) = 0?
-2/5, 2/7, 1
Suppose 2*w - 3*b = 11 + 4, -w - 2*b = 3. Let t(j) be the first derivative of 1 + 0*j**w - 1/4*j**4 + 0*j + 1/6*j**6 + 0*j**5 + 0*j**2. Factor t(d).
d**3*(d - 1)*(d + 1)
Suppose 6*k - 4*k = 42. Suppose 6 - k = -5*h. Factor p**3 + p**3 + p**4 - p**h.
p**3*(p + 1)
Let b(h) = -5*h**3 + 3*h**2 - 7*h. Let v(r) = 24*r**3 - 16*r**2 + 34*r. Let u(q) = 14*b(q) + 3*v(q). Solve u(f) = 0.
0, 1, 2
Let o(i) = i**3 + i + 1. Let k be 4*6/16*2. Let y(n) = n**4 - n**3 - 5*n - 4. Let v(p) = k*o(p) + y(p). Factor v(x).
(x - 1)*(x + 1)**3
Let d = -1 + -4. Let y = -3 - d. Factor -2*n**2 - n**5 - n + 2*n**3 + 2*n**y.
-n*(n - 1)**2*(n + 1)**2
Factor -2/5*w**2 - 14/5*w**3 + 0*w + 0 + 32/5*w**5 - 16/5*w**4.
2*w**2*(w - 1)*(4*w + 1)**2/5
Let f(i) be the second derivative of -6*i + 0*i**5 + 0 + 3/16*i**4 - 1/4*i**3 + 0*i**2 - 1/40*i**6. Let f(h) = 0. What is h?
-2, 0, 1
Let 0 + 3/4*g - 3*g**3 - 9/4*g**2 = 0. What is g?
-1, 0, 1/4
Suppose -214 = -5*s + 2*s + 2*g, 3*s = -4*g + 220. Let p be (-6)/4*s/(-27). Factor 4 - p + 0 + b**2 - b**3.
-b**2*(b - 1)
Factor 0 - 1/3*c**4 + 1/3*c**2 + 1/3*c - 1/3*c**3.
-c*(c - 1)*(c + 1)**2/3
Let p(j) be the first derivative of -49*j**4/16 + 77*j**3/12 - 4*j**2 + j - 11. Factor p(l).
-(l - 1)*(7*l - 2)**2/4
Let m(f) be the first derivative of -10*f**6/3 + 12*f**5/5 + 17*f**4 + 4*f**3/3 - 24*f**2 - 16*f - 9. Suppose m(h) = 0. Calculate h.
-1, -2/5, 1, 2
Determine w so that -10/13*w**5 - 24/13*w + 16/13 - 4*w**2 + 22/13*w**3 + 24/13*w**4 = 0.
-1, 2/5, 2
Let l(h) = 4*h**4 + 5 + 1 + 9*h**2 - 8*h - 1 + 3*h**3 - 4*h**3. Let m(s) = s**4 + 2*s**2 - 2*s + 1. Let c(z) = 2*l(z) - 9*m(z). Suppose c(d) = 0. Calculate d.
-1, 1
Factor 8*o - 5 - 152 - 4*o**3 + 32*o**2 - 28*o - 43.
-4*(o - 5)**2*(o + 2)
Let y(f) be the third derivative of 0 + 0*f**3 + 0*f**4 + 2*f**2 - 1/540*f**6 + 0*f + 1/270*f**5. Solve y(k) = 0 for k.
0, 1
Let m(y) = -10*y**2 - 81*y - 35. Let j(s) = 51*s**2 + 405*s + 174. Let v(d) = -5*j(d) - 24*m(d). Factor v(t).
-3*(t + 5)*(5*t + 2)
Let y be (-5 - 1)*8/6. Let m = -5 - y. Solve -1/2 - 1/2*b + 1/2*b**2 + 1/2*b**m = 0.
-1, 1
Find c such that -c**3 - 4*c + 1 + 8*c**2 - 8 - 3*c**4 + 7 = 0.
-2, 0, 2/3, 1
Let s(u) be the first derivative of u**8/560 - 5*u**3/3 + 4. Let k(x) be the third derivative of s(x). Factor k(p).
3*p**4
Let x(y) be the second derivative of -y**5/100 + y**4/10 - y**3/6 - 2*y - 18. Let x(z) = 0. What is z?
0, 1, 5
Let g(m) be the second derivative of m**5/20 + 2*m**4/9 + 2*m**3/9 - 3*m. Factor g(w).
w*(w + 2)*(3*w + 2)/3
Let k(c) be the first derivative of -c**6/5 + 4*c**5/25 + c**4/10 - 2. Find s such that k(s) = 0.
-1/3, 0, 1
Let l(d) = -6*d**4 + 3*d**3 + 6*d**2 + 15*d. Let f(k) = k**4 + k**3 + k**2 - k. Let r(x) = 9*f(x) + l(x). Determine m, given that r(m) = 0.
-2, -1, 0
Let w = 422/5 + -84. Let r = 1/36 + 67/180. Let -4/5 + r*i + w*i**2 = 0. Calculate i.
-2, 1
Let c(g) = 2*g**2 - g + 1. Let b(t) = -t**2 + t - 1. Let m be 22/8 + 1/4. Let k(j) = m*c(j) + 7*b(j). Factor k(a).
-(a - 2)**2
Let -5/8*l**2 + l + 1/8*l**3 - 1/2 = 0. Calculate l.
1, 2
Let u(y) = -y**4 + y**3 + y. Let x(w) = -8*w**4 + 11*w**3 + 3*w**2 - w. Let m(b) = -5*u(b) + x(b). Factor m(c).
-3*c*(c - 2)*(c - 1)*(c + 1)
Let f be 1*2930 - (-2 + 5). Let j = -20417/7 + f. Factor 2*b**3 - 16/7 - 60/7*b**2 + j*b.
2*(b - 2)**2*(7*b - 2)/7
Let x(a) be the third derivative of a**5/360 - 5*a**4/144 + a**3/6 - 6*a**2 - 1. Find g, given that x(g) = 0.
2, 3
Let i(z) = -4*z**3 - 180*z**2 - 1620*z. Let w(u) = u**2 + u. Let n(r) = i(r) + 20*w(r). Determine l so that n(l) = 0.
-20, 0
Let i(l) = -2*l + 1. Let y be i(-3). Let m = 7 - y. Factor m*u + 2/9*u**2 - 2/9.
2*(u - 1)*(u + 1)/9
Let a = 51 - 51. Let z(y) be the first derivative of -2/5*y**4 - 2/3*y**3 - 2/25*y**5 - 2/5*y**2 + 2 + a*y. Factor z(o).
-2*o*(o + 1)**2*(o + 2)/5
Let x be (3 - 3)*(-2)/(-4). Factor 0 + x*y - 2/3*y**3 + 2/3*y**2.
-2*y**2*(y - 1)/3
Let u(v) be the first derivative of v**6/6 - v**4/2 + v**2/2 + 9. Suppose u(r) = 0. Calculate r.
-1, 0, 1
Let i(d) = -d + 4. Let t be i(-5). Factor -t*l**2 - 9*l - 4*l**3 + l**3 + 3*l.
-3*l*(l + 1)*(l + 2)
Let h(t) be the second derivative of 0 - 1/30*t**5 + 1/12*t**4 + 2/3*t**3 - t - t**2. Let s(c) be the first derivative of h(c). Let s(k) = 0. What is k?
-1, 2
Let c be (4/(-6))/(7/(-21)). Let k(y) be the first derivative of -2/5*y + 11/10*y**4 + 8/25*y**5 + 6/5*y**3 + 1/5*y**2 - c. Factor k(v).
2*(v + 1)**3*(4*v - 1)/5
Factor -3*n**2 - 7*n**2 - 6*n**2 - 4*n**4 - 5*n**3 - 11*n**3.
-4*n**2*(n + 2)**2
Let a(d) be the third derivative of d**5/20 + d**4/8 - d**3 + 15*d**2. Suppose a(y) = 0. What is y?
-2, 1
Let o(q) be the first derivative of -2*q**6/21 - 4*q**5/7 - 10*q**4/7 - 40*q**3/21 - 10*q**2/7 - 4*q/7 - 11. Determine m so that o(m) = 0.
-1
Let m(u) be the second derivative of -1/3*u**3 + 0 - 3*u - 1/30*u**5 - 1/6*u**4 - 1/3*u**2. Determine v, given that m(v) = 0.
-1
Let t(i) be the first derivative of -i**5/10 - i**4/6 + i**3/3 + i**2 - i + 2. Let g(y) be the first derivative of t(y). Factor g(m).
-2*(m - 1)*(m + 1)**2
Factor 0*k + 0 + 8/13*k**2 - 16/13*k**3 + 10/13*k**4 - 2/13*k**5.
-2*k**2*(k - 2)**2*(k - 1)/13
Let g(l) be the second derivative of -27*l**7/14 - 27*l**6/5 - 27*l**5/5 - 5*l**4/2 - l**3/2 - 5*l. Suppose g(r) = 0. Calculate r.
-1, -1/3, 0
Let q(f) be the second derivative of f**5/50 + f**4/6 + 7*f**3/15 + 3*f**2/5 + 2*f. Factor q(u).
2*(u + 1)**2*(u + 3)/5
Let g = -7 - -8. Suppose -5 + g = -2*a. Factor 7*x**2 - 6*x**3 + 13*x**a - 14*x**3 + 2 + 10*x**4 - 2*x**5 - 10*x.
-2*(x - 1)**5
Let h be ((-9)/(-15))/(1/5). Suppose -h*s - s + 12 = 0. Factor 11 - 240*z**3 + 132*z + 726*z**2 + 1410*z**3 + 161*z**3 - s.
(11*z + 2)**3
Let w be (-41)/(-5) - ((-6)/(-3) + -1). Factor 8/5*k**2 + 44/5*k**3 + 0 + 0*k + w*k**4.
4*k**2*(k + 1)*(9*k + 2)/5
Let u(i) be the first derivative of 2*i**3/21 + 22*i**2/7 + 242*i/7 - 9. What is d in u(d) = 0?
-11
Suppose -3*u + 13 = 4. Factor u*y + 7 - y**2 - 1 - 2*y**2.
-3*(y - 2)*(y + 1)
Suppose 0 = -3*t - 0 + 6. Suppose 1 + 2*j**2 - 3*j**2 - 4*j**t + 4*j**2 = 0. Calculate j.
-1, 1
Suppose -123*b - 5*b + 11*b**3 - 4*b**3 + 4*b**4 + 17*b**3 = 0. What is b?
-4, 0, 2
Let p = -981/5 + 3689/20. Let m = 12 + p. Factor -m*h**3 + 1/4*h + 0*h**2 + 0.
-h*(h - 1)*(h + 1)/4
Let f(a) be the third derivative of a**6/1260 - a**5/70 + 3*a**4/28 - 5*a**3/6 - 6*a**2. Let w(d) be the first derivative of f(d). Factor w(b).
2*(b - 3)**2/7
Let p(w) be the second derivative of -w**8/112 + 3*w**6/40 + w**5/10 - 3*w**2 + 3*w. Let k(j) be the first derivative of p(j). Factor