ctor r(a).
2*(a - 1)*(a + 1)**3
Let m(t) be the second derivative of -5*t**5/12 - 5*t**4/12 - t**3/6 - 3*t**2 - t. Let r(l) be the first derivative of m(l). Factor r(p).
-(5*p + 1)**2
Let z(a) be the first derivative of a**6/9 + 4*a**5/15 - a**4/3 - 16*a**3/9 - 7*a**2/3 - 4*a/3 + 7. Factor z(c).
2*(c - 2)*(c + 1)**4/3
Suppose 9 = 3*r, -3*q + 3*r = -2*r + 9. Suppose 2 - 3 + q - k**2 = 0. What is k?
-1, 1
Let p(l) be the second derivative of -l**7/189 + 4*l**6/135 - l**5/18 + l**4/27 + 10*l. Factor p(u).
-2*u**2*(u - 2)*(u - 1)**2/9
Let f(p) be the first derivative of -1 + 4/9*p - 8/27*p**3 - 7/9*p**2. Determine i so that f(i) = 0.
-2, 1/4
Let x be (6/12)/(1/4). Let r(h) be the third derivative of -2*h**x - 1/240*h**6 - 1/120*h**5 + 0*h + 0 + 0*h**4 + 0*h**3. Determine i so that r(i) = 0.
-1, 0
Let d(b) be the first derivative of -44*b**3/9 + 2*b**2/3 - 11. Factor d(x).
-4*x*(11*x - 1)/3
Factor 6*q + 25 + 3*q**4 - 8*q**3 - 2*q**4 + 34*q + 6*q**2 + 0*q**4.
(q - 5)**2*(q + 1)**2
Determine b, given that 5/3*b + 1 - 2/3*b**2 = 0.
-1/2, 3
Let i(y) = 4*y**2 + 28*y + 24. Let u(p) = 12*p**2 + 83*p + 71. Let b(o) = 11*i(o) - 4*u(o). Solve b(z) = 0.
-5, -1
Let y(m) be the third derivative of m**6/540 - m**5/45 + 11*m**4/108 - 2*m**3/9 - 25*m**2. Let y(u) = 0. What is u?
1, 2, 3
Factor -15 - 5/2*h**2 - 35/2*h.
-5*(h + 1)*(h + 6)/2
Let n(k) be the third derivative of -k**8/336 + k**7/210 + k**6/120 - k**5/60 - k**2. Factor n(f).
-f**2*(f - 1)**2*(f + 1)
What is o in -6*o**3 - 8*o**2 + 10*o**2 + 12*o**2 - 12*o + o**4 + 4 - o**2 = 0?
1, 2
Let p be ((-14)/10)/1 + 10/5. Solve 2/5 + p*z + 1/5*z**2 = 0 for z.
-2, -1
Let p = 69/5 + -67/5. Let l be -6 + 8 + 2/(-5). Find i, given that -6/5*i**2 + 0*i - p*i**3 + l = 0.
-2, 1
Let u = 47051/12 + -108109/36. Let o = u - 917. What is w in -2/9*w**2 + o*w - 8/9 = 0?
2
Factor 2*k**3 - 3*k**2 + 9 - 3*k - 4*k**3 - 2*k**2 + k**3.
-(k - 1)*(k + 3)**2
Let h be -3 + -2 + 3 + -7. Let l = -7 - h. Factor 5*g**2 + 2*g**3 + 3*g**2 - 2 - 2*g - 6*g**l.
2*(g - 1)*(g + 1)**2
Suppose -24 + 2 = -4*y - z, -4*y - 2*z = -20. Let c be (-10)/y + (-8)/(-4). Find m such that 1/3*m**2 + 0*m + c*m**3 - 1/3*m**4 + 0 - 1/3*m**5 = 0.
-1, 0, 1
Let k = 7 - 3. Factor 18*d**3 + 31 - 12*d**2 + 3*d**5 - 31 + 3*d - 12*d**k.
3*d*(d - 1)**4
Find x, given that 0 - 6/11*x - 2/11*x**4 + 10/11*x**2 - 2/11*x**3 = 0.
-3, 0, 1
Let f(c) = c**2 - 7*c - 2. Let y be f(7). Let a be (-1)/(-2)*y + 8. Factor 0*j**3 + 7*j - a + 1 - 3*j**3 + 2*j.
-3*(j - 1)**2*(j + 2)
Let c(k) be the first derivative of k**7/840 + k**6/180 + k**5/120 + 2*k**3/3 + 2. Let v(r) be the third derivative of c(r). Factor v(j).
j*(j + 1)**2
Let u(t) be the first derivative of t**4/8 + 2*t**3/3 + 3*t**2/4 + 46. Solve u(o) = 0.
-3, -1, 0
Let j be (4 - 5/(-5)) + -1. Let u(n) be the first derivative of 2/5*n**5 + 4*n + 3 + n**2 - 2*n**3 - 1/2*n**j. Factor u(v).
2*(v - 2)*(v - 1)*(v + 1)**2
Let g(n) = -22*n**2 + 58. Let a(c) = -7*c**2 + 19. Let s(l) = 10*a(l) - 3*g(l). Factor s(b).
-4*(b - 2)*(b + 2)
Let u(p) be the third derivative of 0*p**3 + 0*p**6 - 1/525*p**7 + 1/150*p**5 + 0*p + 3*p**2 + 0*p**4 + 0. Factor u(y).
-2*y**2*(y - 1)*(y + 1)/5
Let a = 4 + 1. Let t(q) be the first derivative of 2/5*q**a - 2/3*q**3 + 0*q + 1/3*q**6 - 1/2*q**4 + 1 + 0*q**2. Suppose t(v) = 0. Calculate v.
-1, 0, 1
Let p(f) be the third derivative of -7*f**6/150 + 13*f**5/75 - f**4/6 - 2*f**3/15 - 13*f**2. Factor p(l).
-4*(l - 1)**2*(7*l + 1)/5
Let y(i) be the second derivative of -i**6/75 + 2*i**5/25 - 2*i**4/15 - 2*i. Determine z so that y(z) = 0.
0, 2
Find g such that 60*g**2 - 92/3*g**3 + 22/3*g**4 + 18 - 2/3*g**5 - 54*g = 0.
1, 3
Suppose 2*a = 17*a. Let k(y) be the first derivative of 4/3*y**3 + 2/5*y**5 - 3/2*y**4 + a*y + 2 + 0*y**2. Factor k(i).
2*i**2*(i - 2)*(i - 1)
Let l(j) = 8*j**2 + 5*j + 7. Let g(z) = -3*z + 8*z**2 + 6 - 4*z**2 + 3*z**2 + 8*z. Let h(x) = 5*g(x) - 4*l(x). Determine t so that h(t) = 0.
-1, -2/3
Determine a so that -9*a**5 + 44*a**2 - 3*a**5 - 14*a**4 + 11*a**4 + 12*a**3 - 25*a**4 - 16 = 0.
-2, -1, 2/3, 1
Let t(o) be the first derivative of -8*o**3/15 + 7*o**2/10 + o/5 + 4. Factor t(f).
-(f - 1)*(8*f + 1)/5
Let x = 7 + -14. Let z(k) = k**3 + 2*k**2 - 3*k + 2. Let i(y) = 3*y**3 + 7*y**2 - 9*y + 6. Let c(m) = x*z(m) + 2*i(m). Factor c(s).
-(s - 1)**2*(s + 2)
Suppose -7 = u - 5*o - 30, 41 = 4*u - 3*o. Suppose -5*y + 6*z - 2*z + 8 = 0, -5*y - u = 4*z. Factor y + 2/3*b - 8/3*b**3 - 2*b**2.
-2*b*(b + 1)*(4*b - 1)/3
Let f(j) be the third derivative of j**6/120 + j**5/6 + 25*j**4/24 + 7*j**2. What is d in f(d) = 0?
-5, 0
Suppose 5*i - 8 = 2. Let q(w) be the second derivative of -i*w + 1/3*w**3 + 0*w**2 + 0 + 1/2*w**5 + 2/3*w**4 + 2/15*w**6. Factor q(x).
2*x*(x + 1)**2*(2*x + 1)
Let y(i) = -6*i**2 - 3*i. Let x(c) = -5*c**2 - 3*c. Let q(u) = 5*x(u) - 4*y(u). Let v(j) = -4*j**2 - 10*j. Let s(h) = 14*q(h) - 4*v(h). Solve s(d) = 0 for d.
0, 1
Let j(o) be the first derivative of -3*o**5/5 - 9*o**4/4 - o**3 + 9*o**2/2 + 6*o - 14. Factor j(y).
-3*(y - 1)*(y + 1)**2*(y + 2)
Let c = 3084/55 + -542/11. Solve -146/5*w**3 + 48/5*w + 8/5 - 42/5*w**4 + c*w**2 + 98/5*w**5 = 0.
-1, -2/7, 1
Let n(z) be the third derivative of -z**6/30 + z**5/15 + 2*z**4/3 - 8*z**3/3 - 9*z**2. Find w such that n(w) = 0.
-2, 1, 2
Let b(o) = -o**5 + 3*o**3 - 2*o**2 + 2*o. Let f(d) = d**5 + d**4 - d**3 + d**2 - d. Let z = 11 - 13. Let k(m) = z*b(m) - 4*f(m). Factor k(h).
-2*h**3*(h + 1)**2
Let h(t) = -17*t + 1. Let w be h(-1). Let l be w/14 - 2 - -1. Find d such that 4/7*d + 2/7 + l*d**2 = 0.
-1
Let t be (-1)/(2*1/(-10)). Let b = t + 0. Solve -4*k + b*k - 2*k**2 - 3*k = 0 for k.
-1, 0
Let c be 4/(-6) + (-8)/(-3). Let -1 + 4*d**2 + 2*d**3 - 3 + 2 - 2*d - 2*d**c = 0. Calculate d.
-1, 1
What is n in -3*n + n**2 + 5*n + 4*n - n = 0?
-5, 0
Let f = 69 - 67. Let y(s) be the first derivative of -1/12*s**2 - 1/18*s**3 + 1/24*s**4 + 1/6*s - f. Let y(w) = 0. Calculate w.
-1, 1
Let j(o) be the first derivative of 2*o**6/33 - 2*o**5/55 - o**4/11 + 2*o**3/33 + 26. Let j(y) = 0. Calculate y.
-1, 0, 1/2, 1
Suppose 47 = 4*h - 1. Suppose -2*d + h = 2*d. Suppose 1/3*y**d + 0 + 0*y**2 - 1/3*y = 0. What is y?
-1, 0, 1
Determine l so that l**3 + 0 - 8/5*l**2 - 1/5*l**4 + 4/5*l = 0.
0, 1, 2
Let c(q) = q - 7. Let l be c(9). Let z(o) be the first derivative of l - 2/27*o**3 + 0*o + 0*o**2. Factor z(i).
-2*i**2/9
Let j(z) = z**5 - 2*z**4 + 4*z**3 + 8*z**2 + z + 2. Let u(w) = 3*w**5 - 5*w**4 + 7*w**3 + 16*w**2 + w + 5. Let x(k) = 5*j(k) - 2*u(k). Factor x(g).
-g*(g - 3)*(g + 1)**3
Let w(z) = z**4 + 1. Let v(l) = -14*l**4 + 39*l**3 - 24*l**2 + 3*l + 4. Let p(f) = -v(f) + 4*w(f). Factor p(o).
3*o*(o - 1)**2*(6*o - 1)
Let n = -125/3 - -43. Factor 1/3*l**4 - n*l**3 - 4/3*l + 1/3 + 2*l**2.
(l - 1)**4/3
Let k = -25 + 37. Let j be (-1 - 0)/((-22)/k). Solve 0 - 2/11*n**3 + j*n**2 - 4/11*n = 0 for n.
0, 1, 2
Let m = 0 + -9. Let a be (3/8)/(m/(-6)). Factor -1 - a*b**2 - b.
-(b + 2)**2/4
Let x(p) be the first derivative of -2*p**5/55 + 2*p**4/11 - 10*p**3/33 + 2*p**2/11 - 10. What is g in x(g) = 0?
0, 1, 2
Let q(o) = -2*o**2 - 1. Let d be q(-4). Let i = d + 33. Factor 0*x**2 + 0 + i*x - 2/7*x**4 + 2/7*x**3.
-2*x**3*(x - 1)/7
Find v such that 2*v**2 + 0*v + 2/3*v**3 - 8/3 = 0.
-2, 1
Let x(m) be the second derivative of -m**5/2 + m**4/2 + 4*m**3 + 4*m**2 + 3*m. Factor x(i).
-2*(i - 2)*(i + 1)*(5*i + 2)
Let f be 20/(-2) + 2 + 0. Let z = -3 - f. Factor -8*c + 0*c + z*c - 13*c - 42*c**2 + 8.
-2*(3*c + 2)*(7*c - 2)
Let m = -23 + 23. Let r(s) be the second derivative of -1/2*s**2 - 1/4*s**3 + s + m - 1/24*s**4. Factor r(k).
-(k + 1)*(k + 2)/2
Let t(v) = -v**2 + v - 4. Let q(a) = 2*a**2 - 2*a + 5. Let b(c) = 2*q(c) + 3*t(c). Find u, given that b(u) = 0.
-1, 2
Let z(r) = -2*r - 2. Let b be z(-2). Suppose -3*v - b = -8. Determine a so that -3*a + 0 - 2*a**2 - v - a = 0.
-1
Let k(p) be the third derivative of -p**6/600 - p**5/75 - p**4/30 - 16*p**2. Factor k(s).
-s*(s + 2)**2/5
Let b(l) = -l - 2. Let g be b(-2). Let s = 0 + 0. Suppose 0*q - 2/7*q**4 + 0*q**3 + s*q**2 + g - 2/7*q**5 = 0. What is q?
-1, 0
Factor 0 - 3/2*w**2 - 9/2*w + 5/2*w**3 - 1/2*w**4.
-w*(w - 3)**2*(w + 1)/2
Let w(a) be the third derivative of -a**8/8400 + a**7/4200 + 5*a**3/6 + 3*a**2. Let x(z) be the first derivative of