5 + 49/5*l**3.
(l + 1)*(7*l - 2)**3/5
Let b be ((-2)/8)/((-30)/24). Let r = -264/5 + 53. Suppose 0 + r*c**2 - b*c = 0. Calculate c.
0, 1
Let u(d) be the first derivative of -5*d**7/14 + 7*d**6/10 - 3*d**5/10 - 7*d + 6. Let h(r) be the first derivative of u(r). Let h(b) = 0. Calculate b.
0, 2/5, 1
Let y(z) = -4*z**2 - 7*z - 6. Let n(p) = p**2 + p + 1. Let v(d) = 10*n(d) + 2*y(d). Let x(h) = h**3 + h**2 - 5*h - 3. Let m(w) = 3*v(w) - 2*x(w). Factor m(s).
-2*s*(s - 1)**2
Let m(c) = -8*c**4 + 8*c**3 - 3*c - 3. Let b(z) = 105*z**4 - 105*z**3 + 40*z + 40. Let g(s) = 3*b(s) + 40*m(s). Factor g(w).
-5*w**3*(w - 1)
Let o(i) be the second derivative of 0 - 1/210*i**5 + 0*i**4 - i + i**2 + 1/21*i**3. Let b(m) be the first derivative of o(m). Find a such that b(a) = 0.
-1, 1
Let r(v) be the third derivative of -v**8/112 - v**7/105 + v**6/12 - 7*v**4/24 + v**3/3 - 2*v**2. Solve r(j) = 0.
-2, -1, 1/3, 1
Let k(u) be the third derivative of u**7/105 - u**5/30 - 3*u**2. Factor k(g).
2*g**2*(g - 1)*(g + 1)
Let m be (5 + 847/(-165))*-3. Suppose m*d**2 - 4/5*d + 2/5 = 0. What is d?
1
Suppose 3*g - 7 = -1. Factor -4*b**2 + b**4 + 6*b + b**3 - 7*b + 0*b**g + 3*b**2.
b*(b - 1)*(b + 1)**2
Let b(u) be the third derivative of 1/240*u**5 + 1/48*u**4 + 0*u + 1/24*u**3 + 3*u**2 + 0. Suppose b(v) = 0. Calculate v.
-1
Factor -8*r - 22*r**3 - 26*r**3 + 0*r**4 + 20*r**4 + 36*r**2.
4*r*(r - 1)**2*(5*r - 2)
Suppose 3*t = 6*t. Factor 4*v - 3 - 4*v**3 + t*v + 1 + 2*v**2.
-2*(v - 1)*(v + 1)*(2*v - 1)
Let x = 81 - 56. Suppose -3*q - 12 = 3*y, -3*y + 8*y = -x. Factor 0 + 2*t**2 + 1 - q.
2*t**2
Let c(r) be the second derivative of -r**4/54 - 4*r**3/27 - r**2/3 + 8*r. Solve c(t) = 0 for t.
-3, -1
Let o(x) be the third derivative of 2*x**2 + 0 + 1/30*x**5 + 0*x**4 + 1/60*x**6 + 0*x + 0*x**3. Factor o(v).
2*v**2*(v + 1)
Let t(q) = q + 1. Let s be t(-1). Suppose s*b - 4 = -2*b. Find a, given that -2*a + 2 - b - 2*a**2 = 0.
-1, 0
Let i(a) = -a**3 - 6*a**2 + 6*a - 1. Let z be i(-7). Solve -8*j + 4 - 1 + 10*j - z*j + j**2 = 0.
1, 3
Let n(c) = c**2 - 2*c + 1. Let j be n(3). Suppose -14*r + 5*r**2 - j + 8 + r**2 = 0. What is r?
1/3, 2
Let b(c) be the first derivative of c**5 + 15*c**4/4 + 5*c**3/3 - 15*c**2/2 - 10*c - 33. Factor b(w).
5*(w - 1)*(w + 1)**2*(w + 2)
Factor -4/3*m**3 + 8/9*m**2 + 0 + 4/9*m.
-4*m*(m - 1)*(3*m + 1)/9
Let y(i) = 3*i**5 + i**3 - 2*i**2 - 2*i. Let o(m) = 13*m**5 + 5*m**3 - 9*m**2 - 9*m. Let v(x) = -2*o(x) + 9*y(x). Determine r so that v(r) = 0.
-1, 0, 1
Let p(b) be the first derivative of 0*b + 7 - 2/39*b**3 - 1/13*b**2. Determine v, given that p(v) = 0.
-1, 0
Let w(r) be the third derivative of -r**5/240 - r**4/8 - 11*r**3/24 + 3*r**2 - 2*r. Factor w(m).
-(m + 1)*(m + 11)/4
Let x(h) be the third derivative of -27*h**7/140 + 39*h**6/80 - h**5/3 + h**4/12 + 14*h**2. Determine a, given that x(a) = 0.
0, 2/9, 1
Let a(w) = 3*w - 1. Let r be a(1). Let i be r/(-8) - (-3)/12. Factor 0*y + 2/7*y**2 + i.
2*y**2/7
Let l(y) = 13 - 3*y**2 - 7*y + 5*y**2 - 5*y**2 - 5*y. Let a(v) = -v + 1. Let k(q) = -22*a(q) + 2*l(q). Solve k(f) = 0.
-1, 2/3
Suppose 6*n = 7*n - 17. Factor n*h + 6 + 0 + 3*h**2 - 8*h.
3*(h + 1)*(h + 2)
Suppose 3*k - 13 = -u, 9 = -k - 0*u + 3*u. Determine x so that 4 - 5*x - k*x - 4*x**4 + 8*x**3 + 0*x = 0.
-1, 1
Let o = -132 + 135. Factor -2/7 - 2/7*v + 2/7*v**o + 2/7*v**2.
2*(v - 1)*(v + 1)**2/7
Let k be (-1)/1*4/4. Let c be (-2 + 28/16)/k. Factor -1/4*h**2 + 0*h - 1/2*h**3 + 0 - c*h**4.
-h**2*(h + 1)**2/4
Determine s so that -70*s + 2*s**2 + 10*s**3 + 8*s**4 + 70*s = 0.
-1, -1/4, 0
Let u(p) be the second derivative of 0*p**4 + 0*p**3 + p + 1/40*p**5 + 1/24*p**6 + 0*p**2 + 1/56*p**7 + 0. Solve u(v) = 0 for v.
-1, -2/3, 0
Let w(a) = 2*a - 9. Let k be w(6). Factor 2*b**k - 6*b**3 + 6*b**2 - 2*b**2.
-4*b**2*(b - 1)
Let f be (12/72)/(0 + 1). Factor 0 - 1/6*d - f*d**5 - d**3 + 2/3*d**4 + 2/3*d**2.
-d*(d - 1)**4/6
Let u be 53/35 - 6/(-21). Let s be (-7 + 3 + 28)/((-15)/(-2)). Factor -1/5 - u*c - 24/5*c**2 - s*c**3.
-(c + 1)*(4*c + 1)**2/5
Let o(z) be the first derivative of -1/9*z**2 + 1/9*z**3 + 1 + 1/90*z**5 - 1/18*z**4 + 3*z. Let m(b) be the first derivative of o(b). Factor m(y).
2*(y - 1)**3/9
Factor 0*w**2 - 2*w + 2*w + w**2 + 2*w.
w*(w + 2)
Let h(b) be the first derivative of -b**6/16 + 3*b**5/20 + 9*b**4/32 - b**3 + 3*b**2/4 + 9. Solve h(o) = 0 for o.
-2, 0, 1, 2
Let g = 10 - 6. Let n be ((-50)/(-60))/(9/12). Factor -2/3*f**g + 0 + n*f**3 - 4/9*f**2 + 0*f.
-2*f**2*(f - 1)*(3*f - 2)/9
Let k(d) = -d**3 - 3*d**2 + 6*d + 6. Let t be k(-5). Let s be (t/(-91))/(2/(-4)). Solve 0*i + 2/7*i**3 + 0 - s*i**2 + 2/7*i**4 = 0 for i.
-2, 0, 1
Let f(q) be the first derivative of 0*q + 4/21*q**3 - 4/35*q**5 - 3 + 1/7*q**2 - 1/21*q**6 + 0*q**4. Factor f(y).
-2*y*(y - 1)*(y + 1)**3/7
Let g(l) be the third derivative of 1/63*l**7 - l**2 + 0*l**3 + 0*l + 2/45*l**5 + 1/504*l**8 + 2/45*l**6 + 0*l**4 + 0. Factor g(f).
2*f**2*(f + 1)*(f + 2)**2/3
Factor 12*n**3 + 64*n**4 - 36*n**5 - 20*n**3 + 24*n**3.
-4*n**3*(n - 2)*(9*n + 2)
Let x = -21 + 23. Factor 6/11 - 2/11*q**3 + 10/11*q**x - 14/11*q.
-2*(q - 3)*(q - 1)**2/11
Factor 7/3*n**2 - 8/3*n - 1/3*n**3 - 16/3.
-(n - 4)**2*(n + 1)/3
Let x = -1331 + 34615/26. Let w = x - -59/130. Suppose 2/5*p**2 - w*p + 0 = 0. What is p?
0, 2
Suppose 0 = -0*j - 5*j + 20. Factor 0 + 0*t + 0*t**3 + 2/7*t**5 + 0*t**2 + 2/7*t**j.
2*t**4*(t + 1)/7
Suppose -p + 4 - 2 = 0. Suppose 15 = -p*c + 7*c. Factor 2*s**c - s**2 + s**2 + 4*s**2 - 20*s**3.
-2*s**2*(9*s - 2)
Suppose -3*p = b + 4, -2*b = -b + p. Let m(j) be the first derivative of 1/18*j**3 + 1/6*j - 1 - 1/6*j**b. Factor m(q).
(q - 1)**2/6
Let a(o) = -3*o - 3. Let i be a(-2). Let -4*t + 10*t**2 + 8*t**3 - 18*t**4 + 6*t**i - 2*t**3 = 0. What is t?
-2/3, 0, 1/3, 1
Let r(x) be the first derivative of 1/14*x**4 - 3 + 0*x**3 + 0*x + 0*x**2. Suppose r(c) = 0. Calculate c.
0
Let 49*w**3 - 200 + 140*w**3 + 660*w - 21*w**3 + 7*w**3 - 10*w**5 + 15*w**4 - 610*w**2 = 0. Calculate w.
-5, 1/2, 2
Let z(o) = 4*o**2 - 34*o - 104. Let u(j) = 9*j**2 - 69*j - 209. Let q(l) = 6*u(l) - 13*z(l). Suppose q(c) = 0. What is c?
-7
Suppose -4 = -3*w + 2. Find o such that 0*o**3 + 10*o**2 + w*o**3 - 6*o**2 + 2*o = 0.
-1, 0
Let q(s) be the second derivative of s**4/3 + 4*s**3 + 18*s**2 + 20*s. Factor q(o).
4*(o + 3)**2
Let l(k) be the third derivative of 0*k - 1/32*k**4 - 4*k**2 + 0 - 1/80*k**5 + 1/4*k**3. Find n such that l(n) = 0.
-2, 1
Let i(g) be the second derivative of g**5/25 + g**4/15 - 4*g**3/15 - 3*g. Solve i(d) = 0 for d.
-2, 0, 1
Let h(o) be the second derivative of -1/12*o**4 + 2*o + 0 + 0*o**3 + 7/60*o**5 + 3/2*o**2. Let n(r) be the first derivative of h(r). Solve n(v) = 0.
0, 2/7
Suppose 5*k = 3*j, 2*j - 7*j = 0. Let b(x) be the third derivative of -1/24*x**4 - x**2 + 0*x + 1/60*x**5 + k + 0*x**3. Solve b(m) = 0 for m.
0, 1
Determine b, given that 5*b**2 - 5 + 5/4*b - 5/4*b**3 = 0.
-1, 1, 4
Let l be -2*(6/16)/(2/(-8)). Factor -14/3*b**l + 10/3*b**4 + 0 + 4/3*b**2 + 0*b.
2*b**2*(b - 1)*(5*b - 2)/3
Let c(j) = -3*j**5 - 6*j**4 + 2*j**3 + 4*j**2 + 2*j. Let k(d) = d**5 - d**4 - d**3 - d**2 + d. Let s = 8 - 11. Let t(h) = s*k(h) + 3*c(h). Solve t(r) = 0.
-1, -1/4, 0, 1
Let r = 9 + -4. Let g be (r/15)/(5/6). Factor -2/5*d**2 + 0 + g*d.
-2*d*(d - 1)/5
Let r(a) be the second derivative of -a**4/3 + a. Suppose r(g) = 0. Calculate g.
0
Suppose 0*b + 3*b + 12 = 4*n, 2*n + 12 = -3*b. Let c(d) be the first derivative of n*d + 4 + 1/9*d**2 - 2/27*d**3. Factor c(r).
-2*r*(r - 1)/9
Determine s so that -64/3*s**3 - 4/3*s**5 + 8/3 - 40/3*s + 26/3*s**4 + 74/3*s**2 = 0.
1/2, 1, 2
Let f(z) be the second derivative of 0 + 1/10*z**5 + 1/15*z**6 + 4*z - 1/21*z**7 + 0*z**2 + 0*z**3 - 1/6*z**4. Let f(n) = 0. What is n?
-1, 0, 1
Let t = 43 + -41. Factor 3/5*p + 3/5*p**t - 6/5.
3*(p - 1)*(p + 2)/5
Let o(u) = 3*u**2 + 8*u - 2. Let p(w) = 12*w**2 + 33*w - 9. Suppose 0 = -4*d + 19 + 17. Let s(c) = d*o(c) - 2*p(c). Factor s(b).
3*b*(b + 2)
Factor 2048/5 + 96/5*u**2 - 768/5*u - 4/5*u**3.
-4*(u - 8)**3/5
Let n = 146 - 144. What is q in -12/7 + 48/7*q - 75/7*q**3 - 15/7*q**n = 0?
-1, 2/5
Let b(l) be the third derivative of 0*l**3 - 1/300*l**6 + 0 + 3*l**2 - 1/30*l**4 - 1/50*l**5 + 0*l. Let b(z) = 0. Calculate z.
-2, -1, 0
Let u be 1 - -2 - (-2)/(-2). Let r(