 4*k + 9*k**4 - 1 - 33*k**3 + 7 + 30*k**2 - 31*k + 15*k**2.
3*(k - 1)**3*(3*k - 2)
Let k = -3245/7 + 465. Factor k*u + 6/7*u**2 + 4/7.
2*(u + 1)*(3*u + 2)/7
Let x = 109/186 + 5/62. Factor x*t - 2/3*t**2 + 0.
-2*t*(t - 1)/3
Let k(p) = -p**3 + p**2 - 3*p - 1. Let f(a) = -4*a**3 + 3*a**2 - 12*a - 5. Let q(g) = 4*f(g) - 18*k(g). Let q(z) = 0. Calculate z.
1
Let l(s) be the second derivative of -2*s**6/15 + s**5/5 + s**4/3 - 2*s**3/3 + 49*s. Solve l(q) = 0 for q.
-1, 0, 1
Let l(x) be the second derivative of x**8/840 - x**6/90 + x**4/12 + 2*x**3/3 + 2*x. Let w(c) be the second derivative of l(c). Find y, given that w(y) = 0.
-1, 1
Let m(i) be the third derivative of -i**9/30240 - i**8/5040 - i**7/2520 + i**5/12 - 3*i**2. Let r(l) be the third derivative of m(l). Factor r(w).
-2*w*(w + 1)**2
Let a(f) be the third derivative of 5*f**8/168 + 5*f**7/42 + f**6/12 - f**5/3 - 5*f**4/6 - 5*f**3/6 - 3*f**2. Factor a(o).
5*(o - 1)*(o + 1)**3*(2*o + 1)
Let q(y) = y**3 + 6*y**2 + 4*y. Let h(w) = -w**3 - 7*w**2 - 5*w. Let u(k) = -4*h(k) - 5*q(k). Factor u(o).
-o**2*(o + 2)
Factor -128/7 + 32/7*k - 2/7*k**2.
-2*(k - 8)**2/7
Let r(a) be the first derivative of 0*a**2 - 1/3*a**4 - 3/20*a**5 + 2/3*a**3 - 1 + a. Let n(c) be the first derivative of r(c). Factor n(s).
-s*(s + 2)*(3*s - 2)
Let k(l) be the third derivative of -l**6/40 + l**5/50 + l**4/8 - l**3/5 - 8*l**2. Factor k(b).
-3*(b - 1)*(b + 1)*(5*b - 2)/5
Let y be (-14)/98 + 22/7. Let -2*p**2 + 0*p**3 + 0*p**3 + p**y + 4*p**2 - p**4 = 0. What is p?
-1, 0, 2
Let j(h) be the third derivative of -2*h**2 + 0*h + 1/525*h**7 + 0 - 1/50*h**6 + 0*h**3 - 2/15*h**4 + 2/25*h**5. Let j(n) = 0. What is n?
0, 2
Let t = 39 - 27. Determine h, given that t*h - 4*h - 2*h**4 + 10*h**3 + 0*h**4 - 16*h**2 = 0.
0, 1, 2
Suppose -4 = -2*g - 0. Solve 6*v - v**2 - 4*v**g + 3*v**2 - 4 = 0 for v.
1, 2
Factor 1/2*b**2 - 2*b - 5/2.
(b - 5)*(b + 1)/2
Suppose -2*r - 3*r + 10 = 0. Suppose -3*f - 4*c = 0, 0 = r*f + f - c - 15. Factor -5/3*p - 1/3*p**5 - 10/3*p**3 + 5/3*p**f + 10/3*p**2 + 1/3.
-(p - 1)**5/3
Let x(q) be the third derivative of -q**5/60 + 2*q**3/3 + 8*q**2 - 4. Factor x(b).
-(b - 2)*(b + 2)
Let j(a) be the second derivative of 9*a**6/80 - 81*a**5/160 + 21*a**4/32 - 19*a**3/48 + a**2/8 - 5*a. Determine l so that j(l) = 0.
1/3, 2
Let g be (-32)/12 + (-2)/6. Let r(l) = 14*l**3 + 10*l**2 - l + 3. Let a(b) = -28*b**3 - 20*b**2 + b - 7. Let t(i) = g*a(i) - 7*r(i). What is v in t(v) = 0?
-1, 0, 2/7
Let s(d) be the first derivative of d**4/4 - 2*d**3 + 3*d**2 - 2*d + 1. Let h be s(5). Factor 2/7 + 2/7*z**h - 2/7*z**2 - 2/7*z.
2*(z - 1)**2*(z + 1)/7
Let c = -73 + 37. Let u be (4/c)/((-2)/6). What is a in 1/3*a**2 + 0 - u*a = 0?
0, 1
Let c(t) be the second derivative of t**5/150 + 7*t**4/90 + 11*t**3/45 + t**2/3 + 4*t. Factor c(x).
2*(x + 1)**2*(x + 5)/15
Let x(o) = o**2 - 3. Let b be x(-3). Let s(l) = -l**3 + 3*l**2 + 5*l + 3. Let k be s(4). Suppose -k*g - b + 0*g + 8*g + 6*g**2 + 8*g = 0. Calculate g.
-2, 1/2
Suppose 6*z + 9*z + 6 + 2*z**2 - 7*z = 0. What is z?
-3, -1
Let o = 50 - 42. Let y(p) be the first derivative of -o*p + 8*p**2 - 10/3*p**3 - 1 + 1/2*p**4. Factor y(k).
2*(k - 2)**2*(k - 1)
Let y be 2/(-6) + (-40)/(-120). Determine o so that 0 + y*o**2 - 3/5*o**3 + 0*o - 3/5*o**4 = 0.
-1, 0
Let v be (-26)/10 - 4/10. Let d(n) = 3*n**2 + 6*n - 9. Let m(x) = -2*x**2 - 3*x + 5. Let i = -6 + 1. Let c(q) = i*m(q) + v*d(q). Factor c(h).
(h - 2)*(h - 1)
Let k be (2/(-4))/((-1)/4). Let g be 0/(k + -1) - 0. Factor 3/5*v**2 + g*v - 3/5.
3*(v - 1)*(v + 1)/5
Let p(w) = -w**2 - 6*w - 2. Let z be p(-5). Suppose 0 = 4*j - z - 45. Determine l, given that -j*l**4 + l + 3*l - l + 9*l**2 = 0.
-1/2, 0, 1
Let z be 2/((-24)/(-44)) + -3. Let j = z + -4/9. Solve -4/9*l + j*l**2 + 32/9*l**3 - 10/3*l**4 + 0 = 0.
-1/3, 0, 2/5, 1
Let k(b) be the first derivative of 45*b**6/2 + 135*b**5 + 1125*b**4/4 + 725*b**3/3 + 100*b**2 + 20*b + 3. Factor k(f).
5*(f + 2)**2*(3*f + 1)**3
Suppose 6*s = 3*s + 9. What is l in -13*l**3 + 2*l**2 + 7*l**2 + 3*l**4 + 4*l**s - 3*l = 0?
0, 1
What is n in -4/3*n**3 + 0 - 2/3*n**5 + 2*n**4 + 0*n**2 + 0*n = 0?
0, 1, 2
Let g(k) be the first derivative of 4*k**3/21 + 10*k**2/7 + 24*k/7 - 17. Factor g(w).
4*(w + 2)*(w + 3)/7
Factor -4*b**3 + 2*b**5 - 7*b + b + 8*b.
2*b*(b - 1)**2*(b + 1)**2
Suppose 2*i = -5*i + 2*i. Let t(q) be the second derivative of 1/36*q**4 + 0 - q + 0*q**2 + i*q**3. Factor t(n).
n**2/3
Factor 89*f**2 + f**3 + 16384 + 3*f**3 + 103*f**2 + 3072*f.
4*(f + 16)**3
Let v(n) be the first derivative of -n**4/2 - 2*n**3 - 2*n**2 - 14. Determine z so that v(z) = 0.
-2, -1, 0
Let f(h) = h**2 - 15*h - 51. Let y be f(18). Determine d, given that -9/4 - 3/4*d**2 + y*d = 0.
1, 3
Let y(v) be the third derivative of -v**9/10584 + v**8/5880 + v**7/1470 - v**3 + 5*v**2. Let g(h) be the first derivative of y(h). Factor g(m).
-2*m**3*(m - 2)*(m + 1)/7
Suppose -2*w - 5*r = -16, -2*w + 10 = -0*w + 2*r. Factor 2*g**2 - 3*g**2 - 2*g**2 + w*g**3.
3*g**2*(g - 1)
Suppose 4*s - 111 = 33. Determine c, given that 4 - 22*c**3 - 6*c**3 - 36*c + 0 + 96*c**2 - s*c**3 = 0.
1/4, 1
Let d(m) = 45*m**4 - 21*m**3 - 146*m**2 - 60*m + 9. Let u(c) = -9*c**4 + 4*c**3 + 29*c**2 + 12*c - 2. Let v(b) = 4*d(b) + 22*u(b). What is h in v(h) = 0?
-1, 2/9, 2
Let h(j) = j + 12. Let s be h(-9). Let p be ((-2)/(-6))/(3/27). Determine f so that 3*f**2 + 1 + 2*f**p - f**3 + s*f + 0*f**3 = 0.
-1
Let p(r) be the third derivative of r**6/300 + 3*r**5/50 + 9*r**4/20 + 9*r**3/5 - 4*r**2. Suppose p(m) = 0. Calculate m.
-3
Let o(c) be the second derivative of 2*c**7/21 + c**6/15 - 3*c**5/10 - c**4/6 + c**3/3 + c. Determine n so that o(n) = 0.
-1, 0, 1/2, 1
Factor 13*o**3 - 8*o**3 - 5*o**2 - 15*o**3 + 10*o + 5*o**4.
5*o*(o - 2)*(o - 1)*(o + 1)
Let r = 33 - 96. Let x be 28/45 - (-14)/r. Factor -2/5 - x*t + 2/5*t**3 + 2/5*t**2.
2*(t - 1)*(t + 1)**2/5
Suppose -14*i**4 - 38*i**3 - 12*i**2 - 2*i**5 - 35*i**2 - 3*i**2 - 32*i - 8 = 0. Calculate i.
-2, -1
Suppose -5*a = -3*q - 2*a + 21, 0 = 4*q - 5*a - 28. Suppose 19 - q = 3*c. Suppose 2*j**4 - j**c + 3*j**2 + 2*j - 3*j**3 - 3*j = 0. What is j?
0, 1
Suppose 4 = -5*g + 14. Let a(x) = x**2 - x. Let b(d) be the third derivative of d**5/30 - d**4/24 - 2*d**2. Let k(q) = g*b(q) - 3*a(q). Factor k(t).
t*(t + 1)
Let l(p) be the second derivative of -p**7/189 + 2*p**6/135 + p**5/90 - p**4/27 - 8*p. Let l(u) = 0. What is u?
-1, 0, 1, 2
Suppose 2*s - 7 = 1. Let x(v) = v - 2. Let q be x(s). Determine n, given that n - 8*n**q - 2 + 4 + 5*n = 0.
-1/4, 1
Suppose -2*y + 38 = -34. Let z = -141/4 + y. Determine b, given that b**2 - z*b - 1/4 = 0.
-1/4, 1
Determine y, given that 5*y**2 + 5 + 4*y**3 - y**2 - 8*y - 5 = 0.
-2, 0, 1
Let d(m) = -m**2 + m - 1. Let v(r) = -9*r**2 + 19*r - 4. Let q(g) = -6*d(g) - v(g). Factor q(k).
5*(k - 1)*(3*k - 2)
Let q(x) = x**3 - 7*x**2 + 4*x + 5. Let c be q(5). Let v be (2/(-2)*c)/3. Solve -v*o**3 + 5/3*o**2 + 4/3 + 16/3*o = 0 for o.
-2/5, 1
Let z = -82 + 412/5. Let b(a) be the first derivative of -2 - z*a**2 + 2/5*a + 2/15*a**3. Let b(k) = 0. Calculate k.
1
Let f be (9/(-12) - 1)*-4. Suppose 0 = -5*r + f + 13. Determine v, given that 4*v**3 - 3*v**4 - 3*v**3 + 4*v**r = 0.
-1, 0
Factor -3/4*d**2 - 1/4 + 1/4*d**3 + 3/4*d.
(d - 1)**3/4
Suppose -13 - 11 = -6*p. Let u(s) be the first derivative of 3/2*s**p + 0*s - 14/5*s**5 + 2*s**3 + 1 - 2*s**2 + s**6. Find h, given that u(h) = 0.
-2/3, 0, 1
Suppose 32*w - 37*w + 3*f = -25, w - 5*f - 27 = 0. Find o, given that 0 + 2/7*o**w + 0*o = 0.
0
Let v be (12/(-88))/(9/(-12)). Find u such that -2/11*u**5 + 0*u**2 + 0*u**4 + 4/11*u**3 - v*u + 0 = 0.
-1, 0, 1
Let j(w) = -w**3 - w**2 - w. Let m be (2 + 1 + -2)/(-1). Let p(h) = -3*h**4 + 3*h**3 + h**2 - 5*h + 1. Let v(n) = m*j(n) + p(n). Factor v(f).
-(f - 1)**2*(f + 1)*(3*f - 1)
Solve 5/3*i**3 + 1/3*i**5 + 0*i - 2/3*i**2 - 4/3*i**4 + 0 = 0 for i.
0, 1, 2
Let p(j) be the second derivative of j**6/30 + 3*j**5/40 + j**4/24 + 11*j. Factor p(q).
q**2*(q + 1)*(2*q + 1)/2
Let y(k) be the second derivative of -k**5/60 + k**4/12 - k**3/6 + k**2/6 - 15*k. Suppose y(v) = 0. What is v?
1
Let d(c) be the first derivative of 11*c**3/3 - 11*c - 1. Let f(n) = -4*n**2 + 4. Let g(b) = -3*d(b) - 8*f(b). Factor g(a).
-(a - 1)*(a + 1)
Let u(s) be the first der