ctor y(u).
2*u*(u - 1)**2*(u + 1)*(u + 2)
Let f(h) be the second derivative of 2*h**5/15 - 5*h**4/18 + h**3/9 - 23*h. Factor f(p).
2*p*(p - 1)*(4*p - 1)/3
Let a(s) be the third derivative of -s**7/70 + 11*s**6/120 - s**5/5 + s**4/6 - 4*s**2. Factor a(b).
-b*(b - 2)*(b - 1)*(3*b - 2)
Let i(j) be the first derivative of j + 0*j**2 + 1/6*j**3 + 1/12*j**4 - 3. Let l(m) be the first derivative of i(m). Find g, given that l(g) = 0.
-1, 0
Let 0 + 2/3*i**4 + 5/3*i**3 + 0*i + i**2 = 0. Calculate i.
-3/2, -1, 0
Suppose 5*h + 3*n - 2 = 3*h, -4*n - 9 = 5*h. Let j(g) = g + 7. Let w be j(h). Factor -3*v**w + 7/3*v + 2/3.
-(v - 1)*(9*v + 2)/3
Suppose -22 = -4*c - 2*g, 3*c + 4*g - 4 = 25. Suppose -y - c*y + 8 = 0. Factor 2*a**2 + y*a + 2/3*a**3 + 2/3.
2*(a + 1)**3/3
Suppose 0 + 2/3*n**2 - 4/3*n = 0. What is n?
0, 2
Determine s so that -91*s**5 - 4*s**4 + 88*s**5 - 3*s**2 + 7*s**4 + 3*s**3 = 0.
-1, 0, 1
Suppose i + 5 = 4*k + 1, 3 = -i + 3*k. Factor -4/3*o + i + 2/3*o**2.
2*o*(o - 2)/3
Let a = -8 - -20. Let p = a + -12. Let p*x**2 - 1/3*x**3 + x - 2/3 = 0. Calculate x.
-2, 1
Suppose 3/4 + 1/8*c**2 - 5/8*c = 0. What is c?
2, 3
Let c = 323/504 + -1/63. Let x(t) be the first derivative of 1 - 1/3*t**3 - 1/4*t - c*t**2. Factor x(n).
-(n + 1)*(4*n + 1)/4
Let j(v) = v**3 - v**2 + 1. Let l(o) = 41*o**3 + 16*o**2 - 12*o - 4. Let k(m) = 4*j(m) + l(m). Determine c, given that k(c) = 0.
-2/3, 0, 2/5
Let k = 50 - 50. Let t(n) be the third derivative of 0*n**4 + 0 + 0*n + 1/80*n**5 - 4*n**2 + k*n**3 + 1/280*n**7 - 1/80*n**6. Factor t(x).
3*x**2*(x - 1)**2/4
Let t(n) be the third derivative of n**6/72 - n**5/15 + n**4/8 - n**3/9 + 10*n**2. Factor t(l).
(l - 1)**2*(5*l - 2)/3
Let d(a) be the third derivative of 0 + 1/72*a**8 + 2*a**2 + 0*a**3 + 0*a + 4/105*a**7 + 1/60*a**6 - 1/45*a**5 + 0*a**4. Find k such that d(k) = 0.
-1, 0, 2/7
Let g(p) be the second derivative of -2*p**7/35 + p**6/10 - 3*p**5/100 - 10*p. Factor g(s).
-3*s**3*(s - 1)*(4*s - 1)/5
Let t = 563/420 + -1/140. Let f be 14/6 + 3 + -5. Factor -7/3*a**3 + 0 + f*a + t*a**4 + 2/3*a**2.
a*(a - 1)**2*(4*a + 1)/3
Let t = 37/60 - -1/20. Let f(g) be the second derivative of g**2 + t*g**3 + 1/6*g**4 + 0 + 2*g. Suppose f(c) = 0. Calculate c.
-1
Let o = -8 - -11. Factor 0*w + o*w - w**2 + 0*w - 2.
-(w - 2)*(w - 1)
Let j(n) = -n**3 + 7*n**2 - n + 9. Let h be j(7). Let 12*m**h - 4*m**4 - 7*m - m + 0*m = 0. Calculate m.
-2, 0, 1
Let d(f) = -4*f - 52. Let y be d(-13). Let z(v) be the second derivative of 1/18*v**4 + 1/30*v**5 + 0*v**3 - 2*v + y + 0*v**2. Solve z(b) = 0 for b.
-1, 0
Let b(v) be the second derivative of v**7/168 - v**6/30 + v**5/20 + v**4/24 - 5*v**3/24 + v**2/4 - 20*v. Factor b(u).
(u - 2)*(u - 1)**3*(u + 1)/4
Let a = -150418/4905 + -2/4905. Let d = a + 31. Let -1/3*g + 0*g**4 - d*g**5 + 2/3*g**3 + 0*g**2 + 0 = 0. Calculate g.
-1, 0, 1
Let b(s) be the third derivative of s**7/210 - s**6/20 + 3*s**5/20 + 10*s**2. Suppose b(i) = 0. What is i?
0, 3
Let g(b) = b**5 + b**3 - b**2 + b - 1. Let c(k) = 8*k**5 - 4*k**4 + 4*k**3 - 2*k**2 + 6*k - 6. Let d(f) = c(f) - 6*g(f). Suppose d(l) = 0. What is l?
-1, 0, 1, 2
Suppose 41 - 13 = 7*d. Let h(v) be the first derivative of -7/2*v**2 + v + 5*v**3 - 9/4*v**d + 4. Factor h(i).
-(i - 1)*(3*i - 1)**2
Let x be 5/((-2 - -5)/3). Let k**2 + 5*k**4 - 2*k**x + k**2 - 6*k**3 + k**4 = 0. Calculate k.
0, 1
Factor 2/3 + 1/6*c**2 + 2/3*c.
(c + 2)**2/6
Let q(f) = f**3 + 4*f**2 - f - 2. Let m be q(-4). Let p be ((-2)/(-5))/((-24)/(-20)). Factor 0*v + 0 + p*v**m.
v**2/3
Let b(o) be the third derivative of -o**7/1400 + o**6/300 - o**5/200 - o**3 - 4*o**2. Let k(l) be the first derivative of b(l). Let k(y) = 0. What is y?
0, 1
Let s(g) be the first derivative of 1/6*g**3 - 1 + 0*g - 1/4*g**2 - 1/10*g**5 + 1/8*g**4. Factor s(l).
-l*(l - 1)**2*(l + 1)/2
Let o be (2/(4/2))/((-91)/(-26)). Let 2/7*i**4 + o*i**2 - 4/7 + 6/7*i**3 - 6/7*i = 0. Calculate i.
-2, -1, 1
Suppose -14 = -2*k - 2*f, -k + 3*f + f = 13. Determine r, given that 1/7*r**k + 0 + 1/7*r**4 - 1/7*r - 1/7*r**2 = 0.
-1, 0, 1
Factor -2*g + g**3 + 3*g**2 + 3*g + g.
g*(g + 1)*(g + 2)
Let w = -145 - -3047/21. Let r(o) be the first derivative of 0*o + w*o**3 + 2/7*o**2 + 2. Determine b, given that r(b) = 0.
-2, 0
Suppose n - j - 33 + 3 = 0, n = 2*j + 32. Let l = 30 - n. Factor 1/3*y**l + 2/3*y + 0 - 1/3*y**3.
-y*(y - 2)*(y + 1)/3
Factor 2*h**3 - 2*h**3 + 9*h**3 + 3*h - 18*h**2 + 18*h**3.
3*h*(3*h - 1)**2
Let s(b) be the second derivative of -b**4/48 - b**3/12 + 3*b**2/8 - 11*b. Factor s(f).
-(f - 1)*(f + 3)/4
Let v(r) be the second derivative of -r**6/300 - 2*r**5/75 - r**4/12 - 2*r**3/15 + 2*r**2 + r. Let g(c) be the first derivative of v(c). Factor g(o).
-2*(o + 1)**2*(o + 2)/5
Let m(g) be the third derivative of -2*g**5/75 - g**4/30 - 32*g**2. Solve m(d) = 0.
-1/2, 0
Let c(b) be the third derivative of -b**7/630 + b**6/180 - b**4/36 + b**3/18 + 4*b**2. Factor c(g).
-(g - 1)**3*(g + 1)/3
Let l(v) be the third derivative of 0*v**3 + 0*v + 0 + 5*v**2 + 0*v**4 + 1/60*v**5. Factor l(u).
u**2
Let o(c) = 4*c**3 - 13*c**5 + 6*c**5 - 6*c**5. Let r(w) = -6*w**5 + 2*w**3. Let n(l) = -4*o(l) + 9*r(l). Factor n(a).
-2*a**3*(a - 1)*(a + 1)
What is q in -3 - 6*q - 16*q**2 + 3*q**2 + 10*q**2 = 0?
-1
Suppose 0 = 5*d - 6 - 9. Let t(n) be the second derivative of 0 - 12*n**d - 4*n + 49/12*n**6 - 50/3*n**4 - 4*n**2 - 63/10*n**5. Suppose t(b) = 0. Calculate b.
-2/5, -2/7, 2
Factor -1/4*j**2 + 1/2 - 1/4*j.
-(j - 1)*(j + 2)/4
Let g = 5 - 5. Let z be -2 + 3 - (-1 - g). Find y such that 0 - 2/9*y - 2/9*y**z = 0.
-1, 0
Let u(k) = -k**3 - 4*k**2 - 4*k - 1. Let z be u(-3). Solve -o**z + 3*o**4 + 4*o**4 - 3*o**2 - 5*o**4 + 2 = 0.
-1, 1
Let g = -5 + 7. Factor 13*d**g + 2 - 11*d**2 - 3*d - d.
2*(d - 1)**2
Let q(s) be the first derivative of 2*s**6/5 + 9*s**5/5 + 3*s**4 + 2*s**3 - 3*s/5 + 5. Factor q(g).
3*(g + 1)**4*(4*g - 1)/5
Let g(n) be the second derivative of -n**6/80 + n**4/16 - 2*n**2 + 3*n. Let k(u) be the first derivative of g(u). Let k(i) = 0. What is i?
-1, 0, 1
Let n = -1/78 - -83/390. Factor -1/5 + 1/5*x + 1/5*x**2 - n*x**3.
-(x - 1)**2*(x + 1)/5
Let k(v) be the third derivative of v**7/378 + 17*v**6/1080 + 4*v**5/135 + v**4/54 - 19*v**2. Let k(d) = 0. Calculate d.
-2, -1, -2/5, 0
Let b(m) be the first derivative of -1/15*m**2 + 0*m**3 + 0*m - 4 + 1/30*m**4. Determine c, given that b(c) = 0.
-1, 0, 1
Factor 27/2*m**2 - 6*m + 0 + 15/4*m**3.
3*m*(m + 4)*(5*m - 2)/4
Let a(o) be the third derivative of -o**10/45360 + o**9/11340 - o**8/10080 + o**4/8 - 2*o**2. Let h(m) be the second derivative of a(m). Factor h(t).
-2*t**3*(t - 1)**2/3
Let d(b) be the first derivative of 4/3*b**3 + 0*b + 0*b**2 - 5 - 1/2*b**4. Find f, given that d(f) = 0.
0, 2
Let d(m) = -5*m + m**2 - 3 + 1 - 2*m**2. Let v be d(-4). Factor -g**v + 4 - 4*g + 3*g**2 - 2.
2*(g - 1)**2
Let y be (6/22)/((-6)/(-33)). Factor -3/2*a**3 - 1 + y*a + 1/2*a**2 + 1/2*a**4.
(a - 2)*(a - 1)**2*(a + 1)/2
Let i(c) be the third derivative of -c**5/16 + c**4/4 + c**3/2 - 8*c**2. Factor i(u).
-3*(u - 2)*(5*u + 2)/4
Let a(w) be the first derivative of -4*w**3/21 - 6*w**2/7 + 7. Factor a(r).
-4*r*(r + 3)/7
Let r(t) be the first derivative of t**4 + 8*t**3/3 + 2*t**2 + 13. Factor r(a).
4*a*(a + 1)**2
Let o be (1 - (2 - -1))/((-16)/2). Factor 5/4*i**2 - 2*i + 1 - o*i**3.
-(i - 2)**2*(i - 1)/4
Let r(v) be the third derivative of 0*v**4 + 0 - v**2 + 1/30*v**5 + 0*v - 1/3*v**3. Determine i, given that r(i) = 0.
-1, 1
Let w(g) = -g**2 - 7*g + 6. Let z be w(-8). Let c be z/(-14) + (-52)/(-28). Find y, given that 4/5*y**c + 0 + 2*y**3 - 14/5*y**4 + 0*y = 0.
-2/7, 0, 1
Let k = -14 + 9. Let j(x) = -x**3 - x**2 - 2*x + 4. Let o(z) = 3*z**3 + z**2 + 5*z - 8. Let w(r) = k*j(r) - 2*o(r). Determine u so that w(u) = 0.
-1, 2
Let w = 941/10 + -94. Let s(o) be the second derivative of 0*o**2 + w*o**6 - 1/9*o**4 - o + 1/15*o**5 + 0 + 0*o**3 - 1/14*o**7. Find y such that s(y) = 0.
-2/3, 0, 2/3, 1
Let y(d) be the first derivative of 4/21*d**3 - 4/7*d + 3/7*d**2 + 1 - 3/14*d**4. Factor y(a).
-2*(a - 1)*(a + 1)*(3*a - 2)/7
Let v = 6 - 1. Find c, given that -6/5*c**4 - 2/5*c**2 + 0*c + 6/5*c**3 + 2/5*c**v + 0 = 0.
0, 1
Let p = 1951/1167 - 2/389. Factor 10/3*g**2 + p*g**3 + 0 + 5/3*g.
5*g*(g + 1)**2/3
Let b be ((4 + -4)*1)/(0 + 1). Sol