(x).
2*x**2*(x - 1)**2*(2*x + 1)
Let d(k) be the first derivative of 15/4*k**4 + 4 + 6*k - 8*k**3 + 3/2*k**2. What is f in d(f) = 0?
-2/5, 1
Let z(l) be the third derivative of -l**7/210 + l**5/10 + l**4/3 + l**3/2 + 13*l**2. Determine c, given that z(c) = 0.
-1, 3
Let v(y) be the first derivative of -7*y**6 + 297*y**5/10 - 309*y**4/8 + 18*y**3 - 3*y**2 + 5. Suppose v(n) = 0. What is n?
0, 1/4, 2/7, 1, 2
Suppose -f - f = -4*a, 5*f + 3*a = 13. Factor 5*u**3 - 3*u**3 + u**f + 2*u - 3*u.
u*(u + 1)*(2*u - 1)
Let l(z) = -z**5 + 2*z**4 + 4*z**3 + 7*z**2 + 3. Let p(q) = -2*q**5 + 3*q**4 + 8*q**3 + 13*q**2 + 5. Let c(n) = -5*l(n) + 3*p(n). What is y in c(y) = 0?
-2, -1, 0, 2
Suppose 3*a + 1 = -5*m, 2*a - 32*m - 14 = -28*m. Factor -2/7*f**2 - 2/7*f**a + 0 + 2/7*f + 2/7*f**4.
2*f*(f - 1)**2*(f + 1)/7
Let m(v) be the second derivative of v**6/105 + v**5/35 + v**4/42 - 7*v. Factor m(y).
2*y**2*(y + 1)**2/7
Let m(r) be the first derivative of 0*r**3 + 2/3*r + 1/12*r**4 - 11 - 1/2*r**2. Determine w so that m(w) = 0.
-2, 1
Let b(z) = z**2 - 3*z. Let l(a) = 2*a**2 - 4*a. Let v be (3 - -2)/(-1 + 0). Let j be v + 2*(-1 - -2). Let u(r) = j*l(r) + 4*b(r). Find p such that u(p) = 0.
0
Let n(o) be the third derivative of 0*o**3 - 1/75*o**5 + 1/15*o**4 - 1/150*o**6 + 0*o + o**2 + 0. Factor n(j).
-4*j*(j - 1)*(j + 2)/5
Let d = -106 + 106. Suppose d*g**2 - 2/5*g**5 + 0 - 2/5*g + 0*g**4 + 4/5*g**3 = 0. Calculate g.
-1, 0, 1
Let j(a) be the third derivative of -a**5/210 - a**4/21 - 4*a**2 - 3*a. Factor j(y).
-2*y*(y + 4)/7
Find r, given that -2/3*r + 0 - 5/3*r**2 - r**3 + 1/3*r**4 + 1/3*r**5 = 0.
-1, 0, 2
Let t = 302 - 1817/6. Let u = 7/6 + t. Suppose -1/3*d**3 - 1/3*d**2 + u*d + 1/3 = 0. What is d?
-1, 1
Let n(u) be the second derivative of 2*u**7/21 - 4*u**6/5 + 13*u**5/5 - 4*u**4 + 8*u**3/3 + u. Factor n(b).
4*b*(b - 2)**2*(b - 1)**2
Let a(g) be the third derivative of -g**7/385 - g**6/132 - g**5/165 - 34*g**2. Suppose a(t) = 0. Calculate t.
-1, -2/3, 0
Suppose m = 3*m - 5*p - 35, -2*m = 4*p + 10. Suppose -z - 2*z + m*x = -1, -2*z + x = -3. Factor 4/7*u**z + 0 + 2/7*u + 2/7*u**3.
2*u*(u + 1)**2/7
Let x(u) be the first derivative of -3*u**5/20 + 3*u**4/8 - 3*u**2/4 + 3*u/4 - 5. Find l such that x(l) = 0.
-1, 1
Let o(m) be the first derivative of 1 + 0*m**2 + 4/21*m**3 + 0*m - 3/14*m**4. Factor o(r).
-2*r**2*(3*r - 2)/7
Let x(z) = z**2 - 7*z + 4. Let c be x(7). Factor 2*j + 4*j**3 + c*j**3 + 3*j**2 + 2*j**3 - 12*j**2.
j*(2*j - 1)*(5*j - 2)
Let c(t) = -t**2 + t. Let b(y) = -16*y**2 + 4*y - 8. Let o(m) = -2*b(m) + 28*c(m). Factor o(a).
4*(a + 1)*(a + 4)
Suppose 0 = 2*p, 3*x + 6 = 5*x - 4*p. Factor 0*j**2 + 0*j + 0*j**x + 0 + 2/5*j**4.
2*j**4/5
Determine w, given that -15*w**2 - 18*w - 7/2*w**3 - 4 = 0.
-2, -2/7
Suppose 2*x - 9 = -p, -5*x - 4*p - 3 + 30 = 0. Let a be ((-5)/(-10))/(x/4). Factor 2/3*t**5 - 4/3*t + 5/3*t**4 - 4/3*t**2 + a*t**3 - 1/3.
(t - 1)*(t + 1)**3*(2*t + 1)/3
Let h = 42 - 125/3. Let g be (3 - 0) + 16/(-6). Find a, given that -2/3*a + g*a**2 + h = 0.
1
Let j(a) be the third derivative of a**7/315 + a**6/60 + a**5/90 - a**4/12 - 2*a**3/9 - 8*a**2. Factor j(t).
2*(t - 1)*(t + 1)**2*(t + 2)/3
Let v(y) be the first derivative of 2*y**5/45 + y**4/6 + 2*y**3/9 + y**2/9 + 23. Factor v(b).
2*b*(b + 1)**3/9
Suppose 12*n = 97 - 25. Let b(d) be the third derivative of 0 - 4*d**2 + 1/48*d**4 - 1/180*d**5 - 1/240*d**n + 1/18*d**3 + 0*d. Factor b(v).
-(v - 1)*(v + 1)*(3*v + 2)/6
Let o(b) be the second derivative of -b**4/6 - 4*b**3/3 + b. Let m be (1 - 0)/(2/(-12)). Let z(v) = 2*v**2 + 7*v. Let s(q) = m*z(q) - 5*o(q). Factor s(x).
-2*x*(x + 1)
Let y be (-1)/3*(-6)/8. Let w(l) = l**2 - 4*l - 19. Let x be w(-3). Find f, given that 1/4*f + 0 - y*f**x = 0.
0, 1
Let k(l) be the second derivative of -1/70*l**5 - 1/105*l**6 + 1/14*l**4 + 2/7*l**2 - l + 5/21*l**3 + 0. Let k(h) = 0. What is h?
-1, 2
Find u such that 3/2 - 33/4*u**3 - 27/4*u + 9/4*u**4 + 45/4*u**2 = 0.
2/3, 1
Let u = 229/2085 - 6/139. Let q(r) be the second derivative of r + 0*r**2 - 1/10*r**5 + 0 + 0*r**3 - u*r**6 + 0*r**4. Factor q(m).
-2*m**3*(m + 1)
Let u be 87/4 + 6/(-8). Let y be ((-27)/u - -1)*-7. What is r in 0*r - 1/4*r**y + 0 + 1/4*r**3 = 0?
0, 1
Let t(g) = 5*g**2 - 12*g + 11. Let c(m) = -2*m**2 + 4*m - 4. Let b(x) = -11*c(x) - 4*t(x). Factor b(n).
2*n*(n + 2)
Let z(v) be the second derivative of v**5/90 + v**4/36 - 2*v**3/9 + 5*v**2/2 + 5*v. Let k(h) be the first derivative of z(h). Find d, given that k(d) = 0.
-2, 1
Suppose 1 + 5*r**3 + 8*r**3 - 28*r**3 + 10*r**2 + 35*r + 9 = 0. Calculate r.
-1, -1/3, 2
Let z(t) be the third derivative of t**6/1080 - t**5/360 + t**3/3 - 3*t**2. Let a(o) be the first derivative of z(o). Find v, given that a(v) = 0.
0, 1
Let g = 5/17 + 2/51. Let -2/3*b + 1/3*b**2 + g = 0. What is b?
1
Let h(v) = 7*v**2 - 6*v - 10. Let p(i) be the third derivative of 2*i**5/15 - 7*i**4/24 - 11*i**3/6 + 5*i**2. Let u(l) = -7*h(l) + 6*p(l). Solve u(w) = 0 for w.
-2, 2
Let g(q) be the third derivative of -q**5/15 - q**4/3 - 2*q**3/3 - 6*q**2. Solve g(h) = 0 for h.
-1
Factor -2/5*c**2 + 0 - 4/5*c.
-2*c*(c + 2)/5
Let q = -4 - -9. Find g such that 12*g**q + 17/4*g**2 - 22*g**4 + 27/4*g**3 - 3/4*g - 1/4 = 0.
-1/4, 1/3, 1
Let q be (-1)/1 - (0 - 4). Let g be (-2)/(-9)*(6 - q). Determine v so that 1/3*v**2 + 0 - g*v = 0.
0, 2
Let v(o) = -4*o**4 - 16*o**3 - 12*o**2 + 8*o. Let t(w) = -3*w**4 - 11*w**3 - 8*w**2 + 5*w. Let p(d) = 8*t(d) - 5*v(d). Let p(b) = 0. What is b?
-1, 0
Let w be 28/(-42)*(1 + -4). Let z be -1*(-3 - (-51)/21). Solve -2/7 - 2/7*j**w - z*j = 0 for j.
-1
Factor 0*u - 1/5*u**4 + 3/5*u**3 + 0 - 2/5*u**2.
-u**2*(u - 2)*(u - 1)/5
Let m(c) be the second derivative of c**5/10 - 3*c**4/4 + 11*c**2/2 - c. Let t(f) = f**3 - 5*f**2 + 6. Let b(r) = 6*m(r) - 11*t(r). Factor b(g).
g**2*(g + 1)
Let r(n) be the second derivative of n**4/48 - n**2/8 + 3*n. Let r(j) = 0. Calculate j.
-1, 1
Suppose 0*x + 5 = -x. Let w = -3 - x. Let -u**5 + 0 + 0 - u**2 - 5*u**3 + 3*u**w + 4*u**4 = 0. What is u?
0, 1, 2
Let f(t) = 3*t + 10. Let l(g) = 5*g + 20. Let y(m) = -7*f(m) + 4*l(m). Let h be y(8). Factor -16/5 - 12/5*x**h + 24/5*x + 2/5*x**3.
2*(x - 2)**3/5
Factor -4*q**4 + 16/3 + 22/3*q**3 + 2/3*q**5 - 8*q - 4/3*q**2.
2*(q - 2)**3*(q - 1)*(q + 1)/3
Let m be 4/(1 + 1 - 0). Factor -4*x**3 - x**3 + 4*x**m + 4*x**3 + 2 - 106*x + 101*x.
-(x - 2)*(x - 1)**2
Let x be 1033/(-9) - (-14)/(-63). Let m = x + 577/5. Find v such that 2/5*v**4 + m*v**3 + 0 - 2/5*v**2 - 2/5*v = 0.
-1, 0, 1
Let z(c) be the second derivative of 3/2*c**4 + 1/10*c**5 + 4*c + 27*c**2 + 0 + 9*c**3. Factor z(x).
2*(x + 3)**3
Determine b so that 8/3*b**2 - 14/3*b**4 - 8*b**3 + 0 + 0*b = 0.
-2, 0, 2/7
Let l(u) be the third derivative of -2*u**7/315 + u**6/90 - u**5/120 - u**4/8 + 3*u**2. Let f(z) be the second derivative of l(z). Suppose f(g) = 0. What is g?
1/4
Let w = -8 + 2. Let p(k) = k**2 + 6*k + 3. Let d be p(w). Factor -3*a**3 + 4*a**d - 2*a**3.
-a**3
Solve 3/4*q**5 + 0 + 27/4*q**3 + 3/2*q - 21/4*q**2 - 15/4*q**4 = 0 for q.
0, 1, 2
Let l(b) be the second derivative of b**7/210 - b**6/75 + b**5/100 - 5*b + 2. Factor l(g).
g**3*(g - 1)**2/5
Let c(y) be the second derivative of -2*y - 1/11*y**2 - 1/66*y**4 + 2/33*y**3 + 0. Factor c(d).
-2*(d - 1)**2/11
Let w = 103 + -1029/10. Let p(m) be the second derivative of -2*m**3 - 3/5*m**5 + 3/2*m**2 + 3/2*m**4 - m + w*m**6 + 0. Determine d, given that p(d) = 0.
1
Suppose -6*y = -138 + 126. Factor 2/7*h**y + 0 - 2/7*h**4 + 2/7*h - 2/7*h**3.
-2*h*(h - 1)*(h + 1)**2/7
Let w(c) be the third derivative of -c**7/77 - 7*c**6/330 + 7*c**5/330 + c**4/22 + 8*c**2. What is a in w(a) = 0?
-1, -3/5, 0, 2/3
Let r(h) be the first derivative of -1/2*h**4 - 4*h + 4 + h**2 - 2/5*h**5 + 2*h**3. Solve r(m) = 0.
-2, -1, 1
Let s(m) be the first derivative of -378*m**5/5 + 411*m**4/2 - 596*m**3/3 + 84*m**2 - 16*m + 5. What is j in s(j) = 0?
2/9, 2/7, 2/3, 1
Let t = 7 - 4. Factor 3*o**2 - t*o + 0*o**3 + 3*o**3 + 41*o**4 - 44*o**4.
-3*o*(o - 1)**2*(o + 1)
Determine j, given that 21/8*j**2 + 9/4*j + 1/8*j**4 + j**3 + 0 = 0.
-3, -2, 0
Let r(u) = -u - 1. Let h(k) be the first derivative of 2 + 4/3*k**3 + 8*k + 0*k**2. Let o(g) = h(g) + 6*r(g). Solve o(v) = 0 for v.
1/2, 1
Let p(y) be the first derivative of 2/15*y**5 + 2/3*y