5/390 - z**4/156 + z**3/39 - z**2. Factor l(b).
2*(b - 1)**2*(b + 1)/13
Let l(s) be the third derivative of -s**5/15 - s**4/2 - 17*s**2. Suppose l(o) = 0. Calculate o.
-3, 0
Let o(l) be the second derivative of 0*l**3 - 3*l + 0*l**5 - 1/6*l**4 + 0*l**2 + 0 + 1/15*l**6. Factor o(i).
2*i**2*(i - 1)*(i + 1)
Let z(c) be the third derivative of 0*c + 0 + 1/210*c**7 - 1/672*c**8 + 0*c**6 + 0*c**3 - 1/60*c**5 + 1/48*c**4 + c**2. Find p, given that z(p) = 0.
-1, 0, 1
Let q = -6 + 6. Let m(c) be the third derivative of -9/20*c**5 - 1/4*c**4 + c**2 + 9/70*c**7 + 1/16*c**8 + q*c**3 + 0 + 0*c - 1/8*c**6. Solve m(y) = 0 for y.
-1, -2/7, 0, 1
Let u be ((-45)/(-6))/(2/4). Suppose 4*k = -w - k + u, 5*w = -4*k + 12. Factor 2/5*p**2 + 2/5*p**4 + w + 4/5*p**3 + 0*p.
2*p**2*(p + 1)**2/5
Let u(r) be the first derivative of 3 + 0*r**2 + 3/4*r**4 - r**3 + 0*r. Factor u(q).
3*q**2*(q - 1)
Suppose 15 = t + 4*y, 0 = -3*t - t + 4*y. Factor 9 - 11 - w**2 + t.
-(w - 1)*(w + 1)
Suppose 11 = -3*l + 26. Factor 3*r**l + r**3 + 29*r**3 - 15*r**4 - 3*r**3 + 6*r - 21*r**2.
3*r*(r - 2)*(r - 1)**3
Let p = 3/38 - -5/57. Let k(j) be the first derivative of -3 + 0*j**3 - 1/3*j**2 + 0*j + p*j**4. Solve k(m) = 0 for m.
-1, 0, 1
Let k be (16/10)/((-2)/(-5)). Factor -3*m**3 - m**2 + 3*m**3 - 4*m**4 - 2*m**3 + 3*m**k.
-m**2*(m + 1)**2
Let b be 0 + 3/18*3. Suppose 0 - l + b*l**2 = 0. What is l?
0, 2
Let a(z) be the first derivative of -8*z**6/3 + 32*z**5/5 + 3*z**4 - 28*z**3/3 + 4*z**2 + 15. Let a(o) = 0. Calculate o.
-1, 0, 1/2, 2
Let q(s) = 34*s**3 - 6*s**2 - 4*s. Let h(v) = 35*v**3 - 7*v**2 - 4*v. Let u = 10 - 15. Let y(m) = u*q(m) + 4*h(m). Determine t so that y(t) = 0.
-1/3, 0, 2/5
Suppose -o - 3*o + 8 = 0. Suppose -8 = -2*w - o*w. Determine d so that 1/4*d + 1/4*d**w + 0 = 0.
-1, 0
Let p(t) be the third derivative of t**6/360 - t**5/60 + 2*t**3/9 + 9*t**2. Factor p(o).
(o - 2)**2*(o + 1)/3
Suppose -103 = 4*u + b + 204, 0 = u - b + 83. Let x = -388/5 - u. Solve 0*w - x*w**2 - 2/5*w**3 + 0 = 0.
-1, 0
Let t be (-39)/546 - (2 + 10/(-4)). Let p be (-1)/2 + 5/2. Solve 6/7*i + 0 + t*i**p = 0.
-2, 0
Let y(g) be the first derivative of -g**6/90 + g**5/30 - g**4/36 - 2*g + 5. Let c(n) be the first derivative of y(n). Let c(f) = 0. What is f?
0, 1
Suppose -2*b = -r + 13 - 5, -4*r + 12 = -3*b. Let v(l) be the first derivative of r*l**2 + 2 + 1/18*l**6 + 0*l**5 + 0*l**4 + 0*l + 0*l**3. Solve v(j) = 0.
0
Let l(r) be the third derivative of 1/48*r**4 + 0*r + 0*r**3 + 1/120*r**5 + 2*r**2 + 0. Suppose l(q) = 0. What is q?
-1, 0
Let b(y) be the first derivative of 0*y**2 - y - 1/5*y**5 + 0*y**4 + 7 + 2/3*y**3. Find q, given that b(q) = 0.
-1, 1
Let i(h) be the first derivative of h**6/63 - 8*h**5/105 + 4*h**3/9 - 17*h**2/21 + 4*h/7 + 33. Let i(o) = 0. What is o?
-2, 1, 3
Factor 2/9*b + 10/9*b**3 - 4/9 + 16/9*b**2.
2*(b + 1)**2*(5*b - 2)/9
Let x(b) be the second derivative of -1/13*b**2 + 0 - 1/78*b**4 - 2/39*b**3 - 2*b. Suppose x(f) = 0. Calculate f.
-1
Let j be 3/(-9) - (-1)/3. Let k be (2 - j/(-1)) + 0. Determine g so that -1/3*g**k - 1/3*g + 2/3 = 0.
-2, 1
Let v be ((-8)/(-3))/(6/9). Suppose -18 = v*h - 6*h. Factor 6 - 3*t**3 - 3*t**4 + h*t + 0*t**4 - 6*t**3 - 3*t**2.
-3*(t - 1)*(t + 1)**2*(t + 2)
Suppose t + 6 = -2*z, -z - 1 = 2. Let t*j + 2/3*j**2 - 2/3 = 0. Calculate j.
-1, 1
Suppose 2*y = -4*y + 450. Let c = 227/3 - y. Factor -4/3*f - 2/3 - c*f**2.
-2*(f + 1)**2/3
Let d(j) be the second derivative of -2*j**6/15 + j**4 - 4*j**3/3 + 45*j. Find b, given that d(b) = 0.
-2, 0, 1
Suppose -3*l + 2 = p - 16, 0 = 3*l - 12. Let b(d) be the second derivative of 0 + 1/2*d**2 - 1/2*d**3 + 1/120*d**p + 13/48*d**4 + 2*d - 3/40*d**5. Factor b(t).
(t - 2)**2*(t - 1)**2/4
Let k(c) = 2*c**3 - c**2 + 1. Let v(f) = f**3 - f**2 + f + 1. Suppose 0*u = 3*g - 2*u - 15, 3*u + 18 = 3*g. Let t(q) = g*v(q) - 3*k(q). Let t(m) = 0. What is m?
-1, 0, 1
Let x(i) be the first derivative of i**3/5 - 3*i**2/5 + 3*i/5 + 1. Factor x(g).
3*(g - 1)**2/5
Suppose -1/3*x - 5/3*x**2 - 7/3*x**3 + 0 - x**4 = 0. What is x?
-1, -1/3, 0
Let z = 7390/4319 + 2/617. Factor z*d - 8/7 - 4/7*d**2.
-4*(d - 2)*(d - 1)/7
Factor 9/4*b**2 - 3/4 - 3/2*b.
3*(b - 1)*(3*b + 1)/4
Let h = 549/2 - 274. Find b, given that -1/4 - h*b + 1/4*b**4 + 1/2*b**3 + 0*b**2 = 0.
-1, 1
Let l(b) be the third derivative of b**7/105 + b**6/20 + b**5/15 + 56*b**2. Factor l(f).
2*f**2*(f + 1)*(f + 2)
Let y(b) be the first derivative of -b**6/165 + b**4/33 - b**2/11 - 4*b + 4. Let x(d) be the first derivative of y(d). Find j such that x(j) = 0.
-1, 1
Suppose -5*h - 2*b + 7*b = -10, -4*b = 0. Factor 3*x**2 - 3*x**h + x**2 + x.
x*(x + 1)
Let p(r) be the third derivative of 2/15*r**3 + 0*r**5 + 5*r**2 + 1/20*r**4 + 0 + 0*r - 1/300*r**6. Factor p(x).
-2*(x - 2)*(x + 1)**2/5
Let l = 57422/55 - 1044. Let w(p) be the first derivative of 0*p**2 + 0*p**3 - l*p**5 + 2 + 0*p + 0*p**4. Factor w(z).
-2*z**4/11
Factor 8*r - 1 - r**2 + 5*r**2 + 1 + 4.
4*(r + 1)**2
Let z(a) be the first derivative of a**4/60 + a**3/15 - 6*a + 7. Let t(n) be the first derivative of z(n). Let t(d) = 0. Calculate d.
-2, 0
Let r = 573/4 + -143. Let o be (-3)/4*6/(-9). Factor 1/4*l - o + r*l**2.
(l - 1)*(l + 2)/4
Suppose 70*v - 65*v - 10 = 0. Let b(f) be the second derivative of 0*f**v + 0*f**3 + 1/4*f**4 + 0 + f - 1/10*f**6 + 0*f**5. Let b(x) = 0. Calculate x.
-1, 0, 1
Let q(x) = -4*x**3 - 3*x**2 + 4*x - 9. Let l(z) = -3*z**3 - 2*z**2 + 5*z - 8. Let r(g) = 6*l(g) - 4*q(g). Find b, given that r(b) = 0.
-3, 1, 2
Let j(z) be the first derivative of -4*z**3/3 + 4*z**2 - 4. Solve j(k) = 0.
0, 2
Suppose c = -3*c + 24. Determine m, given that -3*m**2 + c + 7*m + 2*m - 2*m - 4*m = 0.
-1, 2
Let g = 9 - 6. Let z(u) = -u**4 - u**3 - u**2 - u + 1. Let m(v) = -4*v**4 + v**3 + 10*v**2 + 5*v - 3. Let r(q) = g*z(q) + m(q). Factor r(d).
-d*(d - 1)*(d + 1)*(7*d + 2)
Factor -36/5*g + 3/5*g**4 - 18/5*g**3 + 39/5*g**2 + 12/5.
3*(g - 2)**2*(g - 1)**2/5
Suppose -3*r + 2*l = -21, 2*l - 9 = -6*r + 3*r. Suppose 19 = 4*h + p, 0*h + 27 = 3*h + r*p. Factor 1 - h*y + 6*y**2 + y + 11*y + 1.
2*(y + 1)*(3*y + 1)
Let h(i) = i**4 + 10*i**3 + 6*i**2 - 2*i + 1. Let l(g) = -7 + 3*g + 1 - 4*g**4 - 33*g**3 - 30*g**2 - 17*g**3 + 7*g. Let o(d) = 16*h(d) + 3*l(d). Solve o(s) = 0.
-1, 1/2
Factor -4*y**2 - 2/9*y**3 - 48 - 24*y.
-2*(y + 6)**3/9
Suppose -z - 4*z = -30. Let c(m) = 0*m**3 + 2*m**2 - m**2 + 1 - m**3. Let x(d) = d**4 + 4*d**3 - 5*d**2 - 6. Let u(j) = z*c(j) + x(j). Factor u(t).
t**2*(t - 1)**2
Let a be (42/60)/7 + 10/25. Factor 1/2*x**3 - 5/2*x + 3/2*x**2 + 1 - a*x**4.
-(x - 1)**3*(x + 2)/2
Let n(c) = c**2 + 2. Let r(q) = -12*q**2 - 12*q - 3. Let l(h) = 9*n(h) + r(h). Factor l(i).
-3*(i - 1)*(i + 5)
Suppose b + 4*b - 15 = 0. Factor 14*t**2 - 9*t**b + 12 + 24*t - 7*t**2 - 4*t**2.
-3*(t - 2)*(t + 1)*(3*t + 2)
Suppose 5*a + r - 1 = 3, 0 = -3*r + 12. Factor -2 - 2*d + a*d**2 - d**2 + 2.
-d*(d + 2)
Let p(q) be the second derivative of -3*q**5/10 - 3*q**4/8 + 9*q**3/4 - 3*q**2/2 - 4*q. Factor p(u).
-3*(u - 1)*(u + 2)*(4*u - 1)/2
Let p(l) be the first derivative of 2/3*l - 1/6*l**4 + 1/3*l**2 - 1 - 2/9*l**3. Factor p(u).
-2*(u - 1)*(u + 1)**2/3
Let u(o) = o. Let r be u(2). Find j, given that 1 - j - j**r + j = 0.
-1, 1
Let h(f) be the third derivative of f**8/3360 - f**7/2100 - 3*f**6/400 - 11*f**5/600 - f**4/60 + 15*f**2. Let h(l) = 0. What is l?
-1, 0, 4
Let t(d) = d**2 - 8*d - 10. Let a be t(10). Let h be (8/a)/((-14)/(-35)). Find r such that 8/9 + 2/9*r**h - 8/9*r = 0.
2
Let r = 156/19 + -7294/893. Let x = 100/141 - r. Factor 0 + 2/3*b + x*b**2.
2*b*(b + 1)/3
Let n = 38 + -34. Let r(l) be the third derivative of 0*l**3 - 3*l**2 + 0 + 0*l + 0*l**n + 1/90*l**5. Solve r(d) = 0.
0
Suppose 0 = -2*c - 2*y - 14, 5*c + y + 35 = -0*c. Let u = -4 - c. Let 0 + 3/2*d**2 + u*d = 0. What is d?
-2, 0
Let v(y) = -50*y**2 - 90*y + 140. Let j(w) = -7*w**2 - 13*w + 20. Let n(a) = -15*j(a) + 2*v(a). Let n(c) = 0. What is c?
-4, 1
Let c(f) be the third derivative of -11*f**7/42 + 5*f**6/6 + f**5/3 - 40*f**2. Factor c(z).
-5*z**2*(z - 2)*(11*z + 2)
Let i(x) be the second derivative of -3*x + 2*x**3 + 0*x**4 - 1/5*x**5 + 4*x**2 + 0. What is l in i(l) = 0?
-1, 2
Factor -3*c**3 + 70*c**2 - 6*c**3 - 64*c**2 + 3*c**4.
3*c**2*(c - 2)*(c - 1)
Let k be (-21)/(-5) + (-6)/30. L