*2 - p**3 + 1/10*p**6 - 4*p + 0 + 3/10*p**5 + 0*p**4. Suppose u(k) = 0. Calculate k.
-1, 1
Let q(v) be the third derivative of -v**6/120 + v**5/40 + v**4/4 - 3*v**3/2 + 4*v**2. Let i(x) be the first derivative of q(x). Solve i(b) = 0 for b.
-1, 2
Find q, given that 9/7*q + 6/7*q**2 - 9/7*q**3 - 6/7 = 0.
-1, 2/3, 1
Let l be (1/7)/(5/7). Suppose -1/5*z**3 + 1/5*z + 0 - l*z**4 + 1/5*z**2 = 0. Calculate z.
-1, 0, 1
Let m(v) = v**3 + 5*v**2 + 5*v + 4. Let i be m(-4). Suppose 4*z - 5*t - 16 = 0, i = 4*z + t - 4*t - 16. Factor -7*y**4 - 3*y**3 + 3*y**z + y**3 - 2*y**5.
-2*y**3*(y + 1)**2
Factor 4*o**3 - 5*o**4 + 2*o**3 + 2*o**4 + o**2 - 4*o**2.
-3*o**2*(o - 1)**2
Let y(r) = r**2 - 5*r - 6. Let z = -23 - -29. Let a be y(z). What is u in -2/11*u + 0*u**2 + a + 2/11*u**3 = 0?
-1, 0, 1
Determine r so that 2/7*r + 2/7 - 2/7*r**3 - 2/7*r**2 = 0.
-1, 1
Let n(h) be the second derivative of -2*h**7/105 - 2*h**6/75 + h**5/5 - h**4/5 - 31*h. Determine x, given that n(x) = 0.
-3, 0, 1
Let v(z) be the first derivative of z + z**2 - 2 + 1/3*z**3. Suppose v(r) = 0. Calculate r.
-1
Find a, given that -2/7*a + 6/7 + 6/7*a**4 - 2/7*a**5 + 4/7*a**3 - 12/7*a**2 = 0.
-1, 1, 3
Let m(f) be the second derivative of f**4/6 - 2*f**3 - 7*f**2 - 30*f. Determine c, given that m(c) = 0.
-1, 7
Let p = 54 + -809/15. Let l(f) be the second derivative of 0 + 0*f**2 - 3/50*f**5 + 0*f**6 + 5*f + 0*f**3 + 1/105*f**7 - p*f**4. Let l(q) = 0. What is q?
-1, 0, 2
Find o, given that -1/10*o**3 - 1/5 - 2/5*o**2 - 1/2*o = 0.
-2, -1
Solve 3*l**4 + 2*l - 72*l**5 + 75*l**5 - 2*l - 6*l**3 = 0 for l.
-2, 0, 1
Let j = -2299 - -964. Let p be j/(-9) - -2 - 1. Factor -p*a**3 - 32/3 - 256/3*a - 208*a**2 - 98/3*a**4.
-2*(a + 2)**2*(7*a + 2)**2/3
Let a = -4 + 8. Let q(i) = -i. Let f be q(-3). Factor 7*c**2 - c**2 + a*c**f - 6 - 3*c - c**3.
3*(c - 1)*(c + 1)*(c + 2)
Let h(x) be the second derivative of x**6/75 + x**5/25 + x**4/30 - 7*x. What is b in h(b) = 0?
-1, 0
Let c(s) be the first derivative of 0*s**2 + 0*s + 1/6*s**4 - 2/3*s**3 + 4. Factor c(w).
2*w**2*(w - 3)/3
Suppose 2*w = 3*v - 14, v - 2*w - 2*w - 8 = 0. Let u(r) be the second derivative of -1/40*r**6 + 0*r**3 + 0 - 3*r - 3/40*r**5 - 1/16*r**v + 0*r**2. Factor u(x).
-3*x**2*(x + 1)**2/4
Suppose 1 = w - 0*w. Let m(q) = q. Let x(h) = h**2 - 5*h. Let j(r) = -4*m(r) - x(r). Let v(c) = -5*c**2 + 8*c + 1. Let p(d) = w*v(d) - 6*j(d). Factor p(b).
(b + 1)**2
Let m(a) be the third derivative of 1/525*a**7 + 0*a + 0 + a**2 - 1/60*a**4 + 0*a**3 - 1/100*a**6 + 1/50*a**5. Determine x, given that m(x) = 0.
0, 1
Factor 3/2*i**2 - 3/2 - 3/2*i + 3/2*i**3.
3*(i - 1)*(i + 1)**2/2
Factor -3/8*v**3 + 0 - 3/2*v**2 + 15/8*v.
-3*v*(v - 1)*(v + 5)/8
Suppose y + y = 3*g - 6, -5*g - 4*y + 10 = 0. Factor 0 - 2/11*z + 0*z**g + 2/11*z**3.
2*z*(z - 1)*(z + 1)/11
Let v be 4 + -4 - 4/(-2). Factor 13*c**3 + v*c**4 - 2*c**4 + 3*c**4 - 19*c**3.
3*c**3*(c - 2)
Let s = 335083/90 + -3723. Let t = 1/18 + s. Factor 0 + 0*r**2 - 1/5*r**3 + t*r**4 + 0*r.
r**3*(r - 1)/5
Let s = -11 - -13. Let u(p) be the third derivative of -s*p**2 + 0 + 0*p + 1/270*p**5 + 1/54*p**4 + 1/27*p**3. Factor u(o).
2*(o + 1)**2/9
Let o = -10/13 + 73/78. Suppose o + 1/6*i - 1/6*i**2 - 1/6*i**3 = 0. What is i?
-1, 1
Let x(w) be the third derivative of w**6/480 - w**4/96 - 6*w**2. Suppose x(b) = 0. What is b?
-1, 0, 1
Let z = -82/15 - -17/3. Let d(o) be the second derivative of 1/15*o**6 - o + 0 + 1/105*o**7 + 1/3*o**4 + 1/5*o**2 + z*o**5 + 1/3*o**3. Factor d(w).
2*(w + 1)**5/5
Let t(m) = m**2 - 3*m - 4. Let z(l) = l**2 + l. Let r(d) = 7*d**2 - 7. Let f(b) = -r(b) + 5*z(b). Let u(s) = -6*f(s) - 11*t(s). Factor u(k).
(k + 1)*(k + 2)
Let f(q) be the third derivative of q**6/60 - q**5/5 + 3*q**4/4 - 18*q**2. Find y such that f(y) = 0.
0, 3
Let z(t) be the third derivative of t**8/224 - t**6/80 + 13*t**2. Factor z(q).
3*q**3*(q - 1)*(q + 1)/2
Let i(u) be the third derivative of u**8/840 - u**6/75 - u**5/75 + u**4/20 + 2*u**3/15 - 5*u**2. Factor i(h).
2*(h - 2)*(h - 1)*(h + 1)**3/5
Let u(a) = -36*a - 34. Let p be u(-1). Determine t, given that 1/6*t**4 + 0 + 0*t**p + 0*t + 1/6*t**5 - 1/3*t**3 = 0.
-2, 0, 1
Let k be (-8)/(-126) - (-4)/18. Suppose -4*o + 12 = 3*u, 0 = -2*u + o + 4*o + 8. Let 0*p - 2/7*p**2 + 0 + 0*p**3 + k*p**u = 0. Calculate p.
-1, 0, 1
Let c(o) = o**2 - o + 1. Let n(h) be the second derivative of h**4/6 - h**3/3 + 3*h**2/2 - h. Let l(z) = -3*c(z) + n(z). Factor l(y).
-y*(y - 1)
Let t = 225 - 673/3. Solve 2/3*x**2 - t*x**4 - 2/3*x**3 + 0 + 2/3*x**5 + 0*x = 0.
-1, 0, 1
Let w(v) be the second derivative of 0 + 3*v + 1/50*v**5 + 2/15*v**3 + 0*v**2 - 1/10*v**4. Determine y so that w(y) = 0.
0, 1, 2
Let t(c) be the third derivative of c**6/120 - c**5/60 + c**4/24 - c**2. Let a(r) = 3*r**3 - 6*r**2 + 3*r. Let l(j) = -a(j) + 4*t(j). Factor l(z).
z*(z + 1)**2
Let s(t) be the first derivative of t**6/7 + 2*t**5/5 + 3*t**4/14 - 2*t**3/7 - 2*t**2/7 + 9. Determine m, given that s(m) = 0.
-1, 0, 2/3
Let i(v) = 4*v**4 + 21*v**3 - 4*v**2 - 11*v. Let u(p) = -2*p**4 - 11*p**3 + 2*p**2 + 5*p. Let t(d) = -6*i(d) - 10*u(d). Find o such that t(o) = 0.
-4, -1, 0, 1
Let r be 1 - -4 - (1 - 0). Suppose 5 = -d, -3*t + 6*d - d = -37. Let 5*c**3 - 7*c**3 + c**t - r*c**4 = 0. Calculate c.
-2/3, 0
Let q(y) be the third derivative of -y**5/40 + y**4/2 - 4*y**3 + 16*y**2. What is i in q(i) = 0?
4
Let r = 6 - 4. Factor -11 + r*f + 11 + 2*f**2.
2*f*(f + 1)
Suppose -2*r + 38 = -4*r - 2*k, 5*r = 3*k - 135. Let f = r - -27. Factor 0 + 0*u + 2/9*u**f - 4/9*u**2.
2*u**2*(u - 2)/9
Suppose n = -3*t - 3, -4*t - 8 = -0*t. Let -j**2 - 1/4*j + 3/4*j**n + 1/2 = 0. Calculate j.
-2/3, 1
Let v = -3811/11 + 347. Factor -4/11 + v*y - 2/11*y**2.
-2*(y - 2)*(y - 1)/11
Let w(u) be the third derivative of 3*u**7/70 + u**6/20 + 17*u**2. What is x in w(x) = 0?
-2/3, 0
Let s(u) be the third derivative of 0*u**3 + 0*u - 1/315*u**7 - 1/45*u**6 - 1/18*u**5 - 1/18*u**4 + 0 + 2*u**2. Factor s(b).
-2*b*(b + 1)**2*(b + 2)/3
Let c be -1 + 6 - ((5 - 2) + -3). Suppose -3/2*g**c - 12*g**2 - 11/2*g - 7*g**4 - 13*g**3 - 1 = 0. What is g?
-1, -2/3
Suppose -t = u - 5, -1 - 1 = 2*u. Solve h + 2*h**4 + t*h**2 - 2*h**2 - 2*h**3 + 2*h**4 + h**5 + 8*h**3 = 0.
-1, 0
Let t = 135/2 + -67. Let f(x) be the first derivative of 0*x - t*x**2 + 0*x**4 + 2/5*x**5 - 3 - 2/3*x**3 + 1/6*x**6. Solve f(z) = 0 for z.
-1, 0, 1
Let i(b) be the first derivative of -b**4/18 + 2*b**3/27 - 10. Factor i(s).
-2*s**2*(s - 1)/9
Let b = 59/3 - 19. Determine c so that b*c**2 - 4/3*c + 2/3 = 0.
1
Suppose o - 4*o = -9. Factor 3*d**3 - 3*d**3 - 3*d**o + d**3 - 5*d**4.
-d**3*(5*d + 2)
Let y(d) be the second derivative of 2*d**7/21 + 2*d**6/5 - d**5/5 - 11*d**4/3 - 8*d**3 - 8*d**2 + 19*d. Factor y(c).
4*(c - 2)*(c + 1)**3*(c + 2)
Let n(b) be the second derivative of b**7/3780 + b**6/1620 - b**5/540 - b**4/108 - 2*b**3/3 - 4*b. Let a(m) be the second derivative of n(m). Factor a(t).
2*(t - 1)*(t + 1)**2/9
Let w(x) = x**3 - 2*x**2 - 2*x. Let a be w(3). Factor 2*p**2 - p**2 + 2*p**a + 3*p**4 + 3*p**3 + p**5 - 2*p**3.
p**2*(p + 1)**3
Let k(c) be the first derivative of -c**5/30 - c**4/6 - 3*c**2 - 6. Let m(b) be the second derivative of k(b). Find n, given that m(n) = 0.
-2, 0
Let i(u) be the second derivative of u**7/357 - u**6/255 + 24*u. Find z, given that i(z) = 0.
0, 1
Let u = -191/4 - -2133/44. Factor 8/11 + u*g + 2/11*g**2.
2*(g + 2)**2/11
Factor -4*b**2 + 5*b + 0*b**2 + 45*b - b**2.
-5*b*(b - 10)
Let m = 19 - 13. Let y(p) = p**2 - 4*p - 8. Let s be y(m). Let 0*w**2 + 1/6*w**s - 1/3*w**3 + 1/3*w - 1/6 = 0. Calculate w.
-1, 1
Let z = 3 - -3. Factor -8*x**4 - 2*x**5 + z*x**3 - 4*x**5 - 8*x**3.
-2*x**3*(x + 1)*(3*x + 1)
Let z = 6/19 + 1/57. What is g in -1/3*g**4 + 0*g + 0 - z*g**2 - 2/3*g**3 = 0?
-1, 0
Let b(l) = -l**2 - 7*l - 3. Let m be b(-6). Let v = 5 - m. Factor -4 + 4 + 2*z**2 + z**v.
3*z**2
Factor 2*b**3 + 4 - 7*b + 23*b + 38*b**2 - 12 + 12*b**3.
2*(b + 1)*(b + 2)*(7*b - 2)
Let t = -4652/91 + 360/7. Factor -10/13*w**2 - 22/13*w - t.
-2*(w + 2)*(5*w + 1)/13
Let s(o) be the second derivative of o**6/300 + o**5/50 + o**4/40 - o**3/15 - o**2/5 + o. Factor s(w).
(w - 1)*(w + 1)*(w + 2)**2/10
Suppose -1 = -k + 1. Solve -k*d**2 - 3*d**2 + d**4 - 2*d**2 + 6*d**2 = 0 for d.
-1, 0, 1
Factor 2/3*r + 1 - 1/3*r**