 + 1)
Find b such that 3/5*b**3 + 12/5 + 3*b**2 + 24/5*b = 0.
-2, -1
Let d = -20 - -14. Let w(y) = 4*y**2 + 3*y - 1. Let t(v) = -15*v**2 - 11*v + 4. Let b(u) = d*t(u) - 22*w(u). Factor b(m).
2*(m - 1)*(m + 1)
Let r(k) = -3*k**3 + 12*k**2 + 24*k + 12. Let n(h) = h**4 + 7*h**3 - 23*h**2 - 48*h - 24. Let y(f) = 3*n(f) + 5*r(f). Factor y(s).
3*(s - 2)*(s + 1)**2*(s + 2)
Suppose 2/11*y**2 - 36/11*y - 38/11 = 0. Calculate y.
-1, 19
Let h(g) be the third derivative of -g**10/75600 + g**5/20 + 3*g**2. Let n(r) be the third derivative of h(r). Factor n(s).
-2*s**4
Suppose 0 + 21 = j. Let w = -5 + j. Factor 2 + 56*g**3 - 6*g + 18*g**4 + w*g**4 + 22*g + 8*g**5 + 44*g**2.
2*(g + 1)**4*(4*g + 1)
Let g(i) be the second derivative of 2/15*i**3 + 0*i**4 - 1/25*i**5 - i - 1/75*i**6 + 1/5*i**2 + 0. Find v such that g(v) = 0.
-1, 1
Factor -48*z**5 - 6*z**3 + 0 - 11*z + 3 - 6 - 14*z**2 + z**4 + 49*z**5.
(z - 3)*(z + 1)**4
Let l(i) be the first derivative of 3*i**5/5 - i**4/4 - 4*i - 3. Let f(r) be the first derivative of l(r). Suppose f(v) = 0. What is v?
0, 1/4
Find x, given that -10*x - 1 + 5 + 1 + 5*x**2 = 0.
1
Let z(b) be the third derivative of b**7/840 - b**6/80 + b**5/20 - 5*b**4/48 + b**3/8 + 4*b**2. Let z(s) = 0. Calculate s.
1, 3
Let m be ((-81)/(-567))/(-4*(-1)/14). Factor m - 5/4*u**3 - 7/4*u + 9/4*u**2 + 1/4*u**4.
(u - 2)*(u - 1)**3/4
Let n be (-2 + 4)/((-2)/(-4)). Let a = -238 + 1672/7. What is l in 2/7*l**n + 0 + 0*l**3 - a*l**2 + 4/7*l = 0?
-2, 0, 1
Let t(d) = 16*d**5 - 5*d**4 + 6*d**3 + 16*d**2 + 11. Let x(g) = -3*g**5 + g**4 - g**3 - 3*g**2 - 2. Let c(p) = -6*t(p) - 33*x(p). Determine q so that c(q) = 0.
-1, 0, 1
Let q be (36/45)/((-2)/(-5)). Let i(p) be the second derivative of -1/6*p**3 - 1/48*p**4 + 0 - q*p - 1/2*p**2. Find a, given that i(a) = 0.
-2
Let r(p) be the third derivative of -p**5/60 - p**4/12 - p**3/6 + 9*p**2. Factor r(n).
-(n + 1)**2
Suppose -10 = -5*i + 3*i. Determine v so that 3*v - 2*v**3 - 4*v - 2*v**3 + i*v**3 = 0.
-1, 0, 1
Suppose -5*f - 24 = -2*t, t - 26 = -2*t + 5*f. Suppose 4 = d + r - t, 5*d - 16 = 2*r. What is w in 1/2*w**d - 1/2 + w**3 - w + 0*w**2 = 0?
-1, 1
Factor 44*t**5 - 48*t**5 + t**4 - t**4.
-4*t**5
Let g(b) = 8*b**3 - 36*b**2 - 4*b + 36. Let u(l) = 9*l**3 - 37*l**2 - 4*l + 37. Let i(r) = 5*g(r) - 4*u(r). Factor i(v).
4*(v - 8)*(v - 1)*(v + 1)
Let o(t) = t**3 - t**2 - 1. Let x be ((-8)/(-6))/(6/9). Let m(l) = -5*l**2 + 2*l**3 + l**2 - 2 - l - l**3. Let b(c) = x*m(c) - 4*o(c). Factor b(n).
-2*n*(n + 1)**2
Let m(o) be the third derivative of -o**7/420 - o**6/60 - o**5/30 + o**3/6 - 4*o**2. Let p(k) be the first derivative of m(k). Let p(l) = 0. Calculate l.
-2, -1, 0
Let o = -8 - -12. Solve 5*i**4 - 4*i**3 + i**4 + 0*i**3 - 6*i**2 + o*i = 0.
-1, 0, 2/3, 1
Let 15*z - 16*z**2 + 9*z**3 - 2*z**2 - z**2 - 2*z**2 - 3 = 0. Calculate z.
1/3, 1
Determine m, given that 2 + 3 + 4*m**2 - 5 + 4*m = 0.
-1, 0
Suppose 2*f = f. Suppose -j - 2*j = f. Factor j*s**2 + 0*s**3 - s - s**3 - 2*s**2.
-s*(s + 1)**2
Suppose 3*x - 4*x = 4*r + 9, 0 = 4*x - 5*r - 27. Solve 1/4*u**2 + 3/4*u - 3/4*u**x + 1/4*u**4 - 1/2 = 0.
-1, 1, 2
Find w such that -3/2*w**2 - 15/2 + 9*w = 0.
1, 5
Factor -4/13*q + 0*q**2 - 2/13 + 2/13*q**4 + 4/13*q**3.
2*(q - 1)*(q + 1)**3/13
Let i(y) = y - 3. Let w be i(7). Let q = w - 1. Factor -4*b + 2 - 2*b**2 + 3*b**3 + b**q + 0*b**2.
2*(b - 1)*(b + 1)*(2*b - 1)
Let j(v) be the first derivative of -2*v**3/15 - 3*v**2/5 + 3. Factor j(h).
-2*h*(h + 3)/5
Let y(a) be the third derivative of a**7/1680 - a**6/360 - a**3/2 - 5*a**2. Let b(z) be the first derivative of y(z). Factor b(t).
t**2*(t - 2)/2
Let a(d) be the second derivative of d**5/30 + d**4/18 - 5*d**3/9 + d**2 + d. Factor a(i).
2*(i - 1)**2*(i + 3)/3
Let n be 20/15*(-3)/(-10). Suppose 0 - 1/5*w**5 + 1/5*w + 0*w**3 - n*w**2 + 2/5*w**4 = 0. Calculate w.
-1, 0, 1
Factor -5 + 9*u + 0*u**2 - 3*u**2 - 1.
-3*(u - 2)*(u - 1)
Let p = -39 - -353/9. Suppose 2*i + 39 - 60 = 3*w, 0 = 4*i - w - 17. Factor -p - 2/9*g + 2/9*g**2 + 2/9*g**i.
2*(g - 1)*(g + 1)**2/9
Let l(d) be the second derivative of -2*d**6/3 - 7*d**5/10 + 7*d**3/3 - d. Let s(u) = 5 - 5*u - 5 + 5*u**3 + 7*u**4. Let r(t) = -5*l(t) - 14*s(t). Factor r(y).
2*y**4
Let v(n) be the third derivative of 0*n**4 + 0*n - 1/30*n**5 + 0 + 0*n**3 + 3*n**2 - 1/120*n**6. Let v(d) = 0. Calculate d.
-2, 0
Factor 25/2*t - 15 - 5/2*t**2.
-5*(t - 3)*(t - 2)/2
Let k(q) = q**3 + 11*q**2 + q + 14. Let v be k(-11). Factor -1 - 1 + 3*w + 3*w**2 - 1 - w**3 - 2*w**v.
-3*(w - 1)**2*(w + 1)
Let f(w) = -9*w**4 + 12*w**3 + 9*w**2 + 2. Suppose 0 = x + x - 10. Let c(p) = 18*p**4 - 24*p**3 - 17*p**2 + p - 5. Let v(l) = x*f(l) + 2*c(l). Factor v(q).
-q*(q - 2)*(3*q + 1)**2
Let k(v) = v**2 + 17*v - 8. Let u(s) = -16*s + 8. Let y(z) = 4*k(z) + 5*u(z). Factor y(p).
4*(p - 2)*(p - 1)
Let z = 29/100 + -1/25. Factor 1/4*r - 1/4*r**2 - 1/4*r**3 + z.
-(r - 1)*(r + 1)**2/4
Let a(q) be the third derivative of 4*q**7/315 - q**6/20 + q**5/15 - q**4/36 - 2*q**2. Factor a(r).
2*r*(r - 1)**2*(4*r - 1)/3
Let k(c) be the first derivative of -4*c**3/3 - 4*c**2 - 10. Suppose k(a) = 0. Calculate a.
-2, 0
Let -1/4*l**2 + 3/4*l + 0 = 0. Calculate l.
0, 3
Let h be 1*((-22)/(-2))/(-1). Let l = -8 - h. Factor w**3 - 4*w**3 + 6*w**l + 0*w - w**2 - 2*w.
w*(w - 1)*(3*w + 2)
Factor 1/6*o + 0 - 1/6*o**4 - 1/6*o**3 + 1/6*o**2.
-o*(o - 1)*(o + 1)**2/6
Let q = 131/2 + -913/14. Factor q*j**2 + 0 + 2/7*j.
2*j*(j + 1)/7
Let a be 85/68 + (-1)/1. Let j(i) be the first derivative of i**3 + a*i**4 + 0*i + 1 - 3/5*i**5 - 1/2*i**2. Solve j(h) = 0 for h.
-1, 0, 1/3, 1
Let f = 3/122 - -467/854. Find j such that 0*j - 6/7*j**3 + 24/7*j**4 - f*j**2 + 0 - 2*j**5 = 0.
-2/7, 0, 1
Factor 12/5*d**4 + 0 + 0*d + 0*d**2 - 4/5*d**5 - 8/5*d**3.
-4*d**3*(d - 2)*(d - 1)/5
Suppose 4*i = 3*o + 18, 2*o + 7 = -i - 3*o. Factor -1/3*w**i + 0 + 1/3*w**2 + 0*w.
-w**2*(w - 1)/3
What is w in -4*w**4 + w**5 + 2*w**4 + 60*w**3 - 59*w**3 = 0?
0, 1
Let y be (-9)/141*329870/(-4095). Let w = y + 2/1833. Factor -27/7*f**2 - 12/7 - w*f.
-3*(3*f + 2)**2/7
Let l(r) be the first derivative of 2/3*r**3 - 2*r - r**2 + 1 + 1/2*r**4. Factor l(z).
2*(z - 1)*(z + 1)**2
Let n be 0*((-3)/4)/((-27)/(-18)). Factor 35/6*c**4 - 2/3*c**2 + n*c - 2/3*c**3 + 0.
c**2*(5*c - 2)*(7*c + 2)/6
Let x = -4 - -7. What is u in 0*u**2 - u + 3 + 7*u + x*u**2 = 0?
-1
Solve -2*f**5 - 4*f**2 - 4*f**2 + 2*f**5 - 12*f**3 + 4*f**5 = 0.
-1, 0, 2
Let u be 9/(-4)*(-2)/3. Factor -3 + 0*s**2 - 9/2*s + u*s**3.
3*(s - 2)*(s + 1)**2/2
Let q(s) be the third derivative of s**7/630 - s**6/240 + s**4/144 - 12*s**2. Suppose q(f) = 0. Calculate f.
-1/2, 0, 1
Let f(u) be the second derivative of -u**4/96 - u**3/12 - 3*u**2/16 + 14*u. Factor f(a).
-(a + 1)*(a + 3)/8
Let m = -664999/280 - -2375. Let w(f) be the third derivative of 0 - m*f**7 + 0*f - 1/96*f**6 + 0*f**3 + 0*f**4 + 1/120*f**5 + 4*f**2. Factor w(z).
-z**2*(z + 2)*(3*z - 1)/4
Let w be (-40)/(-60) + (-26)/42 + 0. Let z(r) be the second derivative of -w*r**3 + 0 + 0*r**2 + 1/42*r**4 - r. Determine b, given that z(b) = 0.
0, 1
Let z(y) be the third derivative of -y**7/1050 + y**5/300 - 7*y**2. Let z(w) = 0. Calculate w.
-1, 0, 1
Suppose 3*n + 4*c + 2 = 0, n = -4*n + 3*c + 16. Let d = n + 0. Factor 2/3*r**3 - 4*r**d + 8*r - 16/3.
2*(r - 2)**3/3
Suppose -5*c = -9*c. Factor -1/4*t**2 - 1/2*t + c.
-t*(t + 2)/4
Let r(i) = -i**2 + i - 1. Let p(k) = -4*k**2 - 2*k - 2. Let n(l) = 2*p(l) - 4*r(l). Suppose n(s) = 0. What is s?
-2, 0
Suppose 9 + 11 = 4*r. Suppose 3*x - 8 = -2. Find g, given that -g**x - 2*g**3 - 2*g**3 + r*g**3 = 0.
0, 1
Find r such that -4/3*r**4 + 2/3*r**5 + 1/6*r**3 + 7/6*r**2 - 5/6*r + 1/6 = 0.
-1, 1/2, 1
Let i = 125/3 + -41. Let r(k) be the second derivative of -i*k**3 - 1/15*k**6 + 0 + 0*k**2 - 1/7*k**7 + 1/6*k**4 + k + 1/2*k**5. Determine j so that r(j) = 0.
-1, 0, 2/3, 1
Let d(y) = 5*y - 3. Let f be d(3). Suppose 40*h**4 + 52*h**4 - 75*h**5 - 19*h**3 + 18*h**4 - f*h**2 + 4*h - 8*h**3 = 0. Calculate h.
-1/3, 0, 2/5, 1
Factor 0 + 12/5*d - 6/5*d**2.
-6*d*(d - 2)/5
Let t(y) be the second derivative of y**4/54 + 2*y. Solve t(x) = 0.
0
Let m be 3/(-2) + 63/14. Factor i - 1/2*i**4 + 1/2 - i**m + 0*i**2.
-(i - 1)*(i + 1)**3/2
Let i(n) be the second derivative of -2/105*n**6 + 1/147*n**7 - 2*n + 4/21*n**3 +