/60 + 13*d**2. Let u(t) = 0. Calculate t.
-1, 0, 3
Let o(c) be the second derivative of c**7/462 - 3*c**5/220 + c**4/66 + 3*c. Factor o(b).
b**2*(b - 1)**2*(b + 2)/11
Suppose f + 2*f - 6 = 0, 4*f - 2 = 2*g. Factor -g*p + 7*p**4 - 4*p**4 + 12*p**2 + 1 + 10*p**3 + 3*p + 6*p.
(p + 1)**3*(3*p + 1)
Let k(t) = -9*t**3 - 2*t + 6*t**3 + 4*t**2 + 5*t**3 + 2. Let p(q) = 10*q**3 + 21*q**2 - 9*q + 11. Let y(r) = -11*k(r) + 2*p(r). Factor y(l).
-2*l*(l - 1)*(l + 2)
Factor 4 - 9*f**3 + 8*f**3 + f - 4.
-f*(f - 1)*(f + 1)
Let x(m) be the second derivative of -m**6/75 - m**5/10 - 3*m**4/10 - 7*m**3/15 - 2*m**2/5 + 3*m. Solve x(n) = 0 for n.
-2, -1
Suppose q + 5*r = -15, -86*r + 9 = 4*q - 89*r. Determine f so that q*f - 1/6*f**3 + 1/3*f**4 + 1/6*f**5 + 0 - 1/3*f**2 = 0.
-2, -1, 0, 1
Suppose -14/13*p**2 - 10/13*p**3 - 6/13*p - 2/13*p**4 + 0 = 0. Calculate p.
-3, -1, 0
Let n(h) be the first derivative of -1/12*h**3 + 1/2*h**2 + 10 + 0*h. Find j such that n(j) = 0.
0, 4
Let a(k) be the second derivative of 1/42*k**4 - 1/7*k**2 + 1/21*k**3 - 1/70*k**5 + 7*k + 0. Factor a(s).
-2*(s - 1)**2*(s + 1)/7
Let p(h) = -37*h**2 + 93*h + 87. Let s(v) = -19*v**2 + 46*v + 44. Let k(u) = 4*p(u) - 7*s(u). What is i in k(i) = 0?
-2/3, 4
Let q be 7 + (-1)/(16/88). Let 0 + 3/2*r**2 - 3/2*r**3 - 3/2*r**4 + q*r = 0. Calculate r.
-1, 0, 1
Let f be (18 - 3)/5 - -2. Let z = 9 - 6. Factor 0*n**3 + 2*n**z + 2*n**5 + 0*n**f - n**4 - 3*n**4.
2*n**3*(n - 1)**2
Suppose 3*q - 16 = -1. Suppose 4*r + 32 = q*z, 5*r + 22 = 7. What is b in 0*b**5 - 4*b + b**z + b**5 + 3*b**3 + 4*b**2 - 5*b**4 = 0?
-1, 0, 1, 2
Suppose 0 = 4*m - 3*u - 18, -5 = -2*m + u + 3. Suppose 0 = z - 5 + m. Factor z*i**2 + 21 - 3 + i - 5*i - 8*i.
2*(i - 3)**2
Let y(x) be the second derivative of 1/75*x**6 - 1/5*x**2 + 0 + 0*x**4 - 2/15*x**3 - 2*x + 1/25*x**5. Solve y(h) = 0 for h.
-1, 1
Suppose -5*g + 49 = -0*n + 3*n, 15 = 3*g - 3*n. Factor 0*j**2 - 98*j**4 - 40*j - 3*j**2 - g + 9*j**2 + 140*j**3.
-2*(j - 1)**2*(7*j + 2)**2
Let y(c) = -4*c**2 - 80*c - 400. Let x(s) = 4*s**2 + 80*s + 400. Let f(d) = -2*x(d) - 3*y(d). Determine k, given that f(k) = 0.
-10
Let j(c) be the third derivative of c**6/40 - c**5/10 - 5*c**4/8 + 3*c**3 - 12*c**2. Factor j(h).
3*(h - 3)*(h - 1)*(h + 2)
Let u = 32/55 - 2/11. Let 2/5*s**2 - 4/5*s + u = 0. Calculate s.
1
Suppose -10 = -3*r - 1. Suppose -4*z - 2*s + r = -z, 2*z - s = 9. Factor 3*h**3 - 2*h - h**4 + h + 2*h - z*h**2.
-h*(h - 1)**3
Let f(l) be the third derivative of -1/240*l**6 + 0*l - l**2 + 0 + 1/40*l**5 + 1/6*l**3 + 5/48*l**4 - 1/420*l**7. Determine o, given that f(o) = 0.
-1, 2
Let z = 15 - 11. Factor b + b**4 + b**5 + z*b**2 - 5*b**2 - 2*b**3 - b**2 + 1.
(b - 1)**2*(b + 1)**3
Let c be (3/12)/(1/6). Let x(t) = t**2 - 1. Let v be x(1). Find k, given that -3/2 + v*k + c*k**2 = 0.
-1, 1
Let b(m) be the first derivative of 15*m**4 + 64*m**3/3 + 8*m**2 - 9. Determine q, given that b(q) = 0.
-2/3, -2/5, 0
Let s(z) = -55*z**3 - 120*z**2 - 160*z. Let i(u) = 8*u**3 + 17*u**2 + 23*u. Let c(g) = 20*i(g) + 3*s(g). Let c(b) = 0. Calculate b.
-2, 0
Let h(t) be the second derivative of t**6/80 - 3*t**5/40 + 3*t**4/16 - t**3/4 + 3*t**2/16 - 4*t. Factor h(u).
3*(u - 1)**4/8
Let w(c) = -c - 10. Let k be w(-12). Suppose 4*x = k*x. Factor -2/11*l**3 + x*l**2 + 2/11*l + 0.
-2*l*(l - 1)*(l + 1)/11
Let h(v) be the third derivative of v**5/180 - v**4/18 - 6*v**2. Suppose h(j) = 0. Calculate j.
0, 4
Let q be 4/5 + 13/(1560/(-36)). Let p**2 + 2 - q*p**3 + 7/2*p = 0. Calculate p.
-1, 4
Let n(j) be the first derivative of 1/5*j**4 - 4/5*j**3 - 3 + 4/5*j**2 + 0*j. What is o in n(o) = 0?
0, 1, 2
Let d(x) be the second derivative of -1/120*x**5 - 1/6*x**3 + 0*x**2 - 2*x + 0*x**4 + 0 + 1/720*x**6. Let a(n) be the second derivative of d(n). Factor a(p).
p*(p - 2)/2
Let h(u) be the third derivative of u**7/315 - u**6/180 - u**5/30 + 5*u**4/36 - 2*u**3/9 + 6*u**2. Determine v so that h(v) = 0.
-2, 1
Let g(d) be the first derivative of -3/4*d - 1/4*d**2 + 1/12*d**3 - 4. Factor g(n).
(n - 3)*(n + 1)/4
Let z(i) be the third derivative of i**6/24 + i**5/4 - 10*i**4/3 + 10*i**3 - i**2 - 19*i. Factor z(l).
5*(l - 2)*(l - 1)*(l + 6)
Let t be ((-15)/10)/((-1)/2). Suppose -v = -4*v - 2*z - 6, t*v - 5*z - 15 = 0. Factor v*c + 0 + 2/7*c**3 + 0*c**2.
2*c**3/7
Let f(d) = -43*d**4 - 39*d**3 - 7*d**2 - 4*d. Let x(c) = -14*c**4 - 13*c**3 - 2*c**2 - c. Let w(o) = 6*f(o) - 21*x(o). Find t, given that w(t) = 0.
-1, -1/3, 0, 1/4
Let h = -4 + 6. Suppose 3*x = 4*t + 11, h = t + 4. Suppose 2*d**2 + x - 18*d**3 + 10*d + 4*d**2 + 1 = 0. Calculate d.
-1/3, 1
Let p(i) = 0*i + i**2 - 3*i - 2*i**2. Let b be p(-3). Factor b - 2/5*f**2 + 2/5*f**3 + 0*f.
2*f**2*(f - 1)/5
What is b in 0*b**4 - 8/11*b**3 + 2/11*b**5 + 4/11 - 4/11*b**2 + 6/11*b = 0?
-1, 1, 2
Let k(m) be the first derivative of -m**4/12 + 4*m**3/9 - 2*m**2/3 - 6. Let k(s) = 0. Calculate s.
0, 2
Let v(t) be the second derivative of 2/27*t**3 + 0*t**2 - 2*t - 1/54*t**4 + 0. Suppose v(y) = 0. Calculate y.
0, 2
Let j(s) = 2 + 2*s**4 - 1 + 5*s**2 + 1. Let h(d) = -3*d**4 - 6*d**2 - 3. Let f(o) = -3*h(o) - 4*j(o). Factor f(z).
(z - 1)**2*(z + 1)**2
Factor 35/2*a**3 + 1/2*a**5 - 6*a**2 + 6*a**4 + 0 - 18*a.
a*(a - 1)*(a + 1)*(a + 6)**2/2
Let w(l) = -6*l**3 + 76*l**2 - 396*l + 324. Let n(k) = -k**3. Let c(z) = -2*n(z) + w(z). Factor c(f).
-4*(f - 9)**2*(f - 1)
Let p(i) = -i**3 + 3*i**2 + 2*i + 7*i**3 - 5*i**3 - 2. Let a(w) = -6*w**3 - 16*w**2 - 11*w + 11. Let j(n) = -2*a(n) - 11*p(n). Factor j(d).
d**2*(d - 1)
Let x(h) = -4*h + 2 + 6*h - 8. Let f be x(4). Factor -c**4 + c**3 + 0*c**4 + 4*c**2 - 3*c**f - c.
-c*(c - 1)**2*(c + 1)
Let y(g) = -2*g + 21. Let h be y(9). Let r(k) be the second derivative of 0 + h*k + 1/6*k**2 + 1/20*k**5 + 2/45*k**6 - 1/6*k**3 - 5/36*k**4. Factor r(b).
(b - 1)*(b + 1)**2*(4*b - 1)/3
Let k be (-2)/(-6) + (-16)/60. Let q(z) be the third derivative of -1/12*z**4 + 0*z**3 + 0*z - 4*z**2 + 1/10*z**5 + k*z**6 + 0. Factor q(t).
2*t*(t + 1)*(4*t - 1)
Let x(j) be the third derivative of -j**7/945 - j**6/540 + j**5/135 - 7*j**2. Factor x(d).
-2*d**2*(d - 1)*(d + 2)/9
Let r(l) be the second derivative of -l**5/200 + l**3/20 + l**2/10 + 12*l. Suppose r(x) = 0. Calculate x.
-1, 2
Let r(j) be the first derivative of -j**6/360 + j**5/60 - j**4/24 + j**3 - 1. Let b(k) be the third derivative of r(k). Suppose b(l) = 0. Calculate l.
1
Factor 0 - 3/4*s - s**2 + 7/4*s**3.
s*(s - 1)*(7*s + 3)/4
Let y(j) = -1. Let z(o) = 10*o**2 - 6*o - 6. Let r(f) = 2*y(f) - z(f). Factor r(h).
-2*(h - 1)*(5*h + 2)
Let u(w) be the third derivative of w**6/540 - w**5/90 + 27*w**2. Factor u(l).
2*l**2*(l - 3)/9
Let o(f) = 2*f - 1. Let j be o(2). Let r = -78 - -392/5. Solve -8/5*p + 2/5 - 8/5*p**j + 12/5*p**2 + r*p**4 = 0 for p.
1
Let r(g) be the second derivative of -10*g + g**4 + 4/3*g**3 + 0*g**2 + 0 + 1/5*g**5. Factor r(d).
4*d*(d + 1)*(d + 2)
Let s(v) be the second derivative of -v**8/30240 + v**7/11340 - v**4/6 + 3*v. Let w(t) be the third derivative of s(t). Let w(z) = 0. What is z?
0, 1
Let c = 43 + -20. Factor -301*y - 1539*y**3 + 24 - 648*y**3 + 1458*y**2 - c*y.
-3*(9*y - 2)**3
Suppose 0 = 4*y - 0*y + 5*z + 20, 2*y + 4*z = -16. Solve -1 + 2 - u**2 + y = 0 for u.
-1, 1
Let x(r) be the first derivative of -r**7/14 + r**6/10 + 9*r**5/20 - r**4/4 - r**3 + 10*r - 4. Let a(d) be the first derivative of x(d). Solve a(u) = 0 for u.
-1, 0, 1, 2
Let u(t) = -10*t**4 + 50*t**3 + 23*t**2 - 137*t - 100. Let f(n) = -5*n**4 + 25*n**3 + 11*n**2 - 69*n - 50. Let c(m) = 7*f(m) - 4*u(m). Factor c(x).
5*(x - 5)*(x - 2)*(x + 1)**2
Let w(u) be the third derivative of u**7/105 - u**6/20 + u**5/30 + u**4/4 - 2*u**3/3 - 14*u**2. Find h, given that w(h) = 0.
-1, 1, 2
Let k(s) = -3*s**5 + 3*s**3 + 7. Let x(n) = 2*n**5 - 2*n**3 - 3. Let h(p) = -3*k(p) - 7*x(p). Factor h(i).
-5*i**3*(i - 1)*(i + 1)
Let y(l) be the first derivative of l**7/28 - 3*l**5/40 + 4*l + 7. Let w(u) be the first derivative of y(u). Factor w(b).
3*b**3*(b - 1)*(b + 1)/2
Suppose -5 = -2*d - 5. Let h(v) be the first derivative of -1/18*v**4 + 1/9*v**2 + 2/45*v**5 + 3 + d*v - 2/27*v**3. Factor h(b).
2*b*(b - 1)**2*(b + 1)/9
Let d(k) be the first derivative of 1/15*k**3 - 8 + 1/10*k**2 - 2/5*k. Solve d(i) = 0.
-2, 1
Let q(i) be the third derivative of i**8/20160 -