 0.
-1, 1
Factor 4 + 126*o**2 + 0 + o**3 - 129*o**2.
(o - 2)**2*(o + 1)
Let r(i) be the third derivative of 0 + 3*i**2 + 1/135*i**5 - 1/36*i**4 + 1/27*i**3 + 1/270*i**6 + 0*i - 1/315*i**7 + 1/1512*i**8. Factor r(k).
2*(k - 1)**4*(k + 1)/9
Suppose -4*q = -6*q + 16. Determine z so that -4*z**2 + z**2 + z**2 - 8*z - q = 0.
-2
Let v(u) be the third derivative of -u**7/42 + u**6/12 - u**5/12 + 23*u**2. Factor v(x).
-5*x**2*(x - 1)**2
Let y be 16/(-32)*(1/(-2) + 0). Solve 0 + y*m**4 - 1/4*m**2 - 1/4*m**3 + 1/4*m = 0.
-1, 0, 1
Suppose 0 = 5*f + 4*i - 31, -2*f - f + 25 = 4*i. What is o in -2*o**4 - 2*o**3 + 2*o**2 - f*o + 3*o + 2*o = 0?
-1, 0, 1
Factor 0 + 0*d**3 + 2/13*d**2 + 0*d - 2/13*d**4.
-2*d**2*(d - 1)*(d + 1)/13
Let f(k) be the third derivative of -k**6/660 + k**5/55 - 3*k**4/44 - 8*k**2. Factor f(g).
-2*g*(g - 3)**2/11
Suppose 3*c - 4*f + 2*f = 22, -c = -3*f - 19. Factor -2*b**4 - b**4 + 5*b**4 - 3*b**c + b**2.
-b**2*(b - 1)*(b + 1)
Let m(r) be the second derivative of -2*r**6/15 + r**5/5 + r**4 - 2*r**3/3 - 4*r**2 - 4*r. Factor m(u).
-4*(u - 2)*(u - 1)*(u + 1)**2
Let j(i) = -8*i**2 + 4*i + 6. Suppose 3*l + 1 = 2*l. Let d(v) = -v**2 + v + 1. Let a(x) = l*j(x) + 6*d(x). Let a(b) = 0. Calculate b.
-1, 0
Factor -3/4*l + 3/4*l**2 - 3/2.
3*(l - 2)*(l + 1)/4
Let k(b) be the third derivative of 2*b**7/525 - b**6/50 - b**5/15 + b**4/10 + 8*b**3/15 - 19*b**2. Factor k(s).
4*(s - 4)*(s - 1)*(s + 1)**2/5
Let r = -198 + 4159/21. Let l(u) be the first derivative of 4/21*u**3 - 1/7*u**2 - 4/35*u**5 + 0*u**4 + 2 + 0*u + r*u**6. Factor l(w).
2*w*(w - 1)**3*(w + 1)/7
Let t be (-7)/(-2)*12/21. Suppose 3*w = t*w. Factor 7*v - 1 - 4*v**2 - 4*v**3 - 1 + w*v**2 + 0*v**3.
-(v + 2)*(2*v - 1)**2
Let y be (-25)/(-3) - (-6)/9. Factor -16*j - 12 + 2*j + y*j**2 + 6*j**3 + 2*j - 3*j**4.
-3*(j - 2)**2*(j + 1)**2
Let m be 2/((-4)/(-2)) + -1. Let q(g) be the first derivative of -1/8*g**2 - 1/20*g**5 + 1/16*g**4 + m*g + 2 + 1/12*g**3. What is h in q(h) = 0?
-1, 0, 1
Find s, given that -1/2*s - 1/8 - 5/8*s**2 - 1/4*s**3 = 0.
-1, -1/2
Factor -11*p**5 - 12*p**5 + 0*p**2 - 6*p**2 - 36*p**4 + 8*p**5 - 27*p**3.
-3*p**2*(p + 1)**2*(5*p + 2)
Suppose 6*l = 5*s + l, 4*l - 12 = 0. Let k(n) be the first derivative of -1/3*n**3 - 1/2*n**2 + s + 0*n. Factor k(b).
-b*(b + 1)
Let g(c) be the third derivative of -243*c**7/70 + 513*c**6/40 - 177*c**5/10 + 23*c**4/2 - 4*c**3 + 6*c**2. Find b, given that g(b) = 0.
2/9, 2/3, 1
Determine w so that 2/3*w**2 + 8 + 14/3*w = 0.
-4, -3
Let m(i) be the first derivative of i**5/25 + i**4/20 - i**3/3 + 3*i**2/10 - 34. Find q such that m(q) = 0.
-3, 0, 1
Let z(o) = 5*o**2 + 40*o - 214. Let d(m) = -4*m**2 - 40*m + 212. Let i(b) = -7*d(b) - 6*z(b). Suppose i(k) = 0. What is k?
10
Factor 125*j**2 - 61*j**2 - 39*j**2 - 3*j**3 - 2*j**3.
-5*j**2*(j - 5)
Factor 16/5*d + 32/5 - 4/5*d**3 - 8/5*d**2.
-4*(d - 2)*(d + 2)**2/5
Let q(i) = -3*i + 6. Let u be q(2). Let c(k) be the third derivative of -1/1050*k**7 + 0*k + 1/100*k**5 + 0*k**3 + u - 2*k**2 + 0*k**6 + 1/60*k**4. Factor c(d).
-d*(d - 2)*(d + 1)**2/5
Let z(p) = 26*p**3 - 10*p**2 + 6*p + 10. Let a(i) = 5*i**3 - 2*i**2 + i + 2. Let w(n) = -16*a(n) + 3*z(n). Let w(t) = 0. What is t?
-1, 1
Let o(z) be the third derivative of 0 - 2/105*z**7 + 0*z**4 + 0*z**3 + 0*z + 0*z**5 + z**2 + 1/60*z**6 + 1/168*z**8. Solve o(k) = 0.
0, 1
Let c = -3 - -6. Factor -12*t - 39*t**c - 13*t**4 - 6*t**4 - 3*t**5 + t**4 - 36*t**2.
-3*t*(t + 1)**2*(t + 2)**2
Suppose 20 = 5*n, -5*i + n + 0*n = 9. Let c be i/(-2) - (-3)/2. Factor -10*k**2 - 2*k**3 + 8*k**4 + c*k + 4 - 2*k**4 + 0*k.
2*(k - 1)**2*(k + 1)*(3*k + 2)
Let z = 597 - 594. Suppose 2/3*r**2 - r**z - 1/6*r - 1/6*r**5 + 0 + 2/3*r**4 = 0. Calculate r.
0, 1
Let x be 24 - 21 - (-83)/(-3). Let z = x + 25. Solve z*a + 0 - 1/3*a**3 + 0*a**2 = 0 for a.
-1, 0, 1
Determine x, given that 1/3*x**2 + 2/3*x + 1/3 = 0.
-1
Let j(r) be the second derivative of 2/21*r**3 - 1/14*r**5 - 2*r + 0*r**2 + 1/49*r**7 + 0 + 1/42*r**4 - 1/105*r**6. Determine q, given that j(q) = 0.
-1, -2/3, 0, 1
Factor -7/4*o**3 + 5/4*o**4 + 0 + 0*o - 1/4*o**5 + 3/4*o**2.
-o**2*(o - 3)*(o - 1)**2/4
Let z(u) = u**3 - 7*u**2 - 3*u + 1. Let r be z(7). Let h be r/(-6)*(-24)/(-20). Factor -2*t**2 + 2*t**3 + 3*t**2 + 2*t**4 - t**h.
t**2*(t + 1)**2
Let y = -6 - -8. Suppose o - 2 = y. Determine r, given that -5*r + 5*r + o + r**2 - 2*r + 6*r = 0.
-2
Factor 5 - 4*u + 5*u**2 - 4*u**2 - 4 - 6.
(u - 5)*(u + 1)
Suppose -9*q + 6*q = -12. Let l(v) be the first derivative of v**2 + 2/5*v**5 - 2 + 1/3*v**6 - 4/3*v**3 + 2*v - v**q. Factor l(c).
2*(c - 1)**2*(c + 1)**3
Let s(y) = -9*y**4 + 9*y**3 + 29*y**2 - 36*y - 7. Let v(o) = -3*o**4 + 3*o**3 + 10*o**2 - 12*o - 2. Let x(k) = 2*s(k) - 7*v(k). Let x(g) = 0. What is g?
-2, 0, 1, 2
Let s(t) be the first derivative of t**3/2 + 3*t**2 + 6*t - 2. Factor s(f).
3*(f + 2)**2/2
Let v = -21 + 23. Solve -1/5*p + 1/5*p**v - 2/5 = 0.
-1, 2
Let q(i) = -i + 13. Let p be q(10). Let t = 380/579 - -2/193. Factor 0 - 2/3*a - t*a**4 + 2/3*a**2 + 2/3*a**p.
-2*a*(a - 1)**2*(a + 1)/3
Let f(p) = -p - 6. Let r be f(-9). Let n(i) be the second derivative of -1/6*i**4 + 0 + 2*i + 2/7*i**2 - 5/21*i**r. Factor n(l).
-2*(l + 1)*(7*l - 2)/7
Let l = -14936 - -74436/5. Let b = l - -50. Factor -3/5*z**2 + b*z + 0.
-3*z*(z - 2)/5
Let 24*q**2 - 14 - 24 + 28*q**4 - 112*q + 40*q**3 + 6 + 52*q**3 = 0. What is q?
-2, -2/7, 1
Let u(l) = -55*l**5 - 105*l**4 - 15*l**3 + 105*l**2 + 50*l. Let a(n) = 8*n**5 + 15*n**4 + 2*n**3 - 15*n**2 - 7*n. Let z(b) = -20*a(b) - 3*u(b). Factor z(h).
5*h*(h - 1)*(h + 1)**2*(h + 2)
Let i(y) be the second derivative of -y**7/21 - y**6/45 + y**5/3 + 4*y**4/9 - 19*y. Suppose i(f) = 0. What is f?
-4/3, -1, 0, 2
Suppose 13 = -l + 16. Determine v, given that 7/2*v**l + v**2 - 1/2*v + 0 + 2*v**4 = 0.
-1, 0, 1/4
Let t(g) be the first derivative of -4/13*g - 7/13*g**2 + 6/13*g**3 + 2. Suppose t(b) = 0. Calculate b.
-2/9, 1
Suppose 5*f - 6 = 4*a, -a = 5*f - f - 9. Let t(p) be the second derivative of 4*p**2 + 0*p**3 - 13/2*p**4 - f*p + 0 - 7/2*p**5. Factor t(r).
-2*(r + 1)*(5*r + 2)*(7*r - 2)
Let m = 14 + -12. Suppose -m + 0 = -z. Factor 0*w**4 + 0*w**z - 4/7*w**3 + 0 + 2/7*w + 2/7*w**5.
2*w*(w - 1)**2*(w + 1)**2/7
Let w = 1 + -10. Let t(k) = -4*k**2 + 2*k - 2. Let f(b) = b**3 + 16*b**2 - 8*b + 9. Let z(a) = w*t(a) - 2*f(a). Let z(h) = 0. What is h?
0, 1
Factor 6 + 6*w - 6*w**2 + 2*w**3 - 6 - 2.
2*(w - 1)**3
Let l(c) be the third derivative of 1/12*c**6 - 1/10*c**5 - 1/8*c**4 + 0 + 3/112*c**8 + 1/6*c**3 + 0*c + 1/10*c**7 + c**2. Factor l(y).
(y + 1)**3*(3*y - 1)**2
Let t(i) be the first derivative of 4/3*i**3 - 1/6*i**4 + 0*i - 3*i**2 + 4. Suppose t(s) = 0. What is s?
0, 3
Let p be (-2)/4*(1 + -9). Let z = 326/135 + -22/27. Solve -2/5*j**p + 4/5*j**3 + 6/5*j**2 - 8/5 - z*j = 0 for j.
-1, 2
Let l(m) = -m. Let d be l(-8). Let v = d - 6. Factor 1/5 + 1/5*r**v + 2/5*r.
(r + 1)**2/5
Suppose 40 = 7*a - 2*a. Suppose 0*o + 4*o = a. Factor -p**o - 7/2*p**3 + 0 + 0*p.
-p**2*(7*p + 2)/2
Factor 1/4*f**2 + 0 + 0*f + 3/4*f**3.
f**2*(3*f + 1)/4
Let o(n) be the second derivative of -n**6/6 + 5*n**5/4 - 35*n**4/12 + 5*n**3/2 + 24*n. Determine w so that o(w) = 0.
0, 1, 3
Let t(l) be the first derivative of l**6/15 - 17*l**5/40 + l**4 - 13*l**3/12 + l**2/2 - 3*l + 2. Let b(s) be the first derivative of t(s). Factor b(h).
(h - 2)*(h - 1)**2*(4*h - 1)/2
Let c(i) be the second derivative of -i**6/25 - 9*i**5/100 - 9*i. Solve c(h) = 0.
-3/2, 0
Find f, given that -2/5*f**3 - 4/5 + 0*f**2 + 6/5*f = 0.
-2, 1
Let c(i) = -i**4 + i**2 + i. Let r(o) = -6*o**3 - 8*o**2 - 4*o. Let t(a) = 2*c(a) + r(a). Let t(g) = 0. What is g?
-1, 0
Let d(m) = m**2 - m. Let o(c) = -14*c**2 - 33*c - 8. Let p(z) = -5*d(z) - o(z). Determine a so that p(a) = 0.
-4, -2/9
Let r(h) be the third derivative of 0*h**4 + 0*h**5 + 0 - 3*h**2 + 0*h**3 + 1/525*h**7 + 0*h + 1/300*h**6. What is z in r(z) = 0?
-1, 0
Let l(p) = -8*p**4 + 26*p**3 - 30*p**2 + 14*p - 4. Let c(b) be the third derivative of b**3/6 - 3*b**2. Let t(n) = -2*c(n) - l(n). Factor t(y).
2*(y - 1)**3*(4*y - 1)
Let h(v) be the second derivative of v**6/30 - v**5/20 - v**4/12 + v**3/6 + 9*v - 1. Suppose h(t) = 0. What is t?
-1, 0, 1
Let h(q) be the third derivative of -q**6/780 + q**5/130 - q**4/78 + 12*q**2