/90 - b**4/45 - b**3/45 - 27*b**2. Factor g(j).
-2*(j + 1)**2*(2*j + 1)/15
Let m(d) = 5*d + 4*d - 8 - 5*d - 8. Let y be m(5). Find l, given that 0*l - 2/3*l**2 + 2/3*l**y + 0*l**3 + 0 = 0.
-1, 0, 1
Let v(n) = -n**4 + n**3 + n + 1. Let y(u) = -3*u**5 - 12*u**4 + 6*u**3 + 6*u**2 + 9*u + 6. Let x(i) = 6*v(i) - y(i). Let x(k) = 0. What is k?
-1, 0, 1
Let y(s) = -18*s**3 + 52*s**2 - 10*s - 12. Let w = -34 + 22. Let q(j) = 7*j**3 - 21*j**2 + 4*j + 5. Let o(z) = w*q(z) - 5*y(z). Suppose o(t) = 0. What is t?
0, 1/3, 1
Let o(h) = h**2 + h - 1. Let d(s) = 4*s**2 + 11*s - 10. Let r(t) = 2*d(t) - 10*o(t). Factor r(n).
-2*(n - 5)*(n - 1)
Let c(n) = 5*n**2 - 10*n - 20. Let w(r) = 2*r**2 - 5*r - 10. Let t(p) = -3*c(p) + 5*w(p). Solve t(f) = 0 for f.
-1, 2
Determine g so that -1/2*g**2 - 1/6 + 1/6*g**3 + 1/2*g = 0.
1
Let j(a) be the first derivative of -1/2*a**3 + 3/4*a**2 + 3 - 3/8*a. Factor j(g).
-3*(2*g - 1)**2/8
Suppose -120*c + 2*c**3 - 293 - 127*c**3 + 225*c**2 + 313 = 0. Calculate c.
2/5, 1
Let m be ((-3)/(-5))/((-11)/55). Let i(u) = u**3 - u**2 + u + 1. Let c(f) = 40*f**2 + 8 + 16*f - 3 + 4*f + 31*f**3. Let h(z) = m*i(z) + c(z). Factor h(k).
(k + 1)*(4*k + 1)*(7*k + 2)
Let s = -43 - -173/4. Solve -r + 0 - r**2 + s*r**5 + r**4 + 3/4*r**3 = 0.
-2, -1, 0, 1
Let h = 5 - 5. Suppose h = 2*z - 6*z. Suppose 1/3*w + 1/3*w**3 - 2/3*w**2 + z = 0. What is w?
0, 1
Let m = 1457/42 + -104/3. Let o(r) be the second derivative of 0*r**4 - 1/30*r**6 + 0*r**3 + 0*r**5 + 0*r**2 + m*r**7 + 0 - r. Find f, given that o(f) = 0.
0, 1
Let v(g) be the third derivative of g**7/70 + g**6/24 + g**5/40 - g**3/3 + 3*g**2. Let n(k) be the first derivative of v(k). Factor n(j).
3*j*(j + 1)*(4*j + 1)
Let t be (4/(-6) + 1)/((-370)/(-444)). Find c, given that t*c**2 + 12/5*c + 18/5 = 0.
-3
Let a = -2 + 4. Determine y so that -4*y**2 + 2*y**2 + 0*y + 3*y**3 + 2 + a*y - 5*y**3 = 0.
-1, 1
Factor h + 9 + 44*h**2 - 29*h**2 + 3*h**3 + 20*h.
3*(h + 1)**2*(h + 3)
Let b(g) be the first derivative of -g**3/12 - g**2/4 - g/4 - 11. Factor b(k).
-(k + 1)**2/4
Let b(o) be the second derivative of 9*o**5/140 - 5*o**4/7 + 39*o**3/14 - 27*o**2/7 + 8*o. What is y in b(y) = 0?
2/3, 3
Let i = 13/5 + -86/35. Let w(h) be the second derivative of i*h**2 + 1/70*h**5 + h + 0 - 1/42*h**4 - 1/21*h**3. Suppose w(f) = 0. Calculate f.
-1, 1
Let t = -7 + 10. Let b(y) be the third derivative of 0 + 0*y - 1/120*y**6 + 1/6*y**t - y**2 - 1/60*y**5 + 1/24*y**4. Factor b(m).
-(m - 1)*(m + 1)**2
Let m(l) = l**3 + 7*l**2 + 5*l - 6. Let x be m(-6). Let p be (x - 6/9)*-12. Let p*c - 1 - 4 - 3*c + 3 + 4*c**2 - 3*c**3 = 0. Calculate c.
-1, 1/3, 2
Factor 6*m - 2*m**4 + 5*m**4 - 6*m - 3*m**5.
-3*m**4*(m - 1)
Factor 0 - 3/5*g**2 + 9/5*g**4 + 12/5*g**3 - 6/5*g.
3*g*(g + 1)**2*(3*g - 2)/5
Suppose 0 = -5*v - 0*v + 25. Suppose -2*c - 26 = -v*u + 2*c, 3*u - 5*c - 26 = 0. Solve 0*r**u + r**2 + r**2 - 2*r**3 = 0.
0, 1
Let b(y) be the first derivative of y**7/210 + y**6/30 + y**5/12 + y**4/12 - 2*y**2 - 4. Let z(f) be the second derivative of b(f). Find j, given that z(j) = 0.
-2, -1, 0
Let u(r) = -r**2 - 6*r - 7. Let k be u(-5). Let a be (4 - k)/(2/1). Determine z so that -2*z**a - 3*z**2 - 1/2 - 1/2*z**4 - 2*z = 0.
-1
Let f(u) = -7*u**2 + 3. Let p(l) = 7*l**2 - 4. Let a(g) = -4*f(g) - 3*p(g). Let n(r) = 13*r**2. Let z(v) = -5*a(v) + 3*n(v). Factor z(k).
4*k**2
Let q(n) be the second derivative of 0*n**3 - 5*n + 0*n**2 + 1/6*n**4 + 1/10*n**5 + 0. Solve q(z) = 0 for z.
-1, 0
Let y(j) = 14*j**3 - 3*j**2 - 11*j. Let x(g) = 5*g**3 - g**2 - 4*g. Let c(u) = -11*x(u) + 4*y(u). Solve c(w) = 0 for w.
0, 1
Let n = -231/4 + 58. Determine y so that 0 + n*y**2 + 1/2*y = 0.
-2, 0
Let g(r) = -4 - 1 + 2*r - 6 - 4*r**2 - 3*r. Let q(l) = -2*l**2 - l - 5. Let c(j) = 3*g(j) - 7*q(j). Factor c(h).
2*(h + 1)**2
Let f(k) be the second derivative of -k**6/27 + 2*k**5/15 - k**4/6 + 2*k**3/27 - 7*k. Find a, given that f(a) = 0.
0, 2/5, 1
Let t = 10 + -7. Let l = -2/9 - -5/9. Factor 1/3 + 1/3*i**t - 1/3*i**2 - l*i.
(i - 1)**2*(i + 1)/3
Let 25*h**3 - 24*h**3 + h - 2*h = 0. Calculate h.
-1, 0, 1
Let f = 4111 - 12223/3. Let d = f + -36. Factor 1/3*b**5 + 2/3*b**4 - 1/3*b + 0*b**3 + 0 - d*b**2.
b*(b - 1)*(b + 1)**3/3
Let h(w) = -3*w**2 + 4*w + 3. Let a(n) = n. Let g(z) = 4*a(z) - h(z). What is o in g(o) = 0?
-1, 1
Let s(u) be the first derivative of 6 - 1/18*u**3 + 1/3*u**2 - 2/3*u. Determine r so that s(r) = 0.
2
Let x = -37 - -39. Factor -3/4*c**4 - 3/4*c**3 + 3/4*c**x + 3/4*c + 0.
-3*c*(c - 1)*(c + 1)**2/4
Let x(n) be the third derivative of n**7/70 + n**6/20 + n**2. What is u in x(u) = 0?
-2, 0
Let w be -2*((-9)/(-6))/(-1). Determine b so that -12*b**2 - 3*b**5 + 29*b**3 + 2*b**4 - b - 20*b**w + 5*b = 0.
-2, 0, 2/3, 1
Let z be 7/7 - -3*(-2)/30. Let -z*l + 2/5*l**2 + 0 = 0. Calculate l.
0, 2
Let h = -4 + 0. Let f be (-3)/3 + h/(-3). Factor -f*o**2 + o - o**3 + 1/3.
-(o - 1)*(o + 1)*(3*o + 1)/3
Factor -18/7*o**2 + 0 + 0*o - 2/7*o**4 - 12/7*o**3.
-2*o**2*(o + 3)**2/7
Let i(u) be the third derivative of -u**7/840 + u**6/72 - u**5/15 + u**4/6 - 2*u**3/3 - 2*u**2. Let p(f) be the first derivative of i(f). Factor p(h).
-(h - 2)**2*(h - 1)
Let i(o) = 6*o**5 - 9*o**4 + 9*o**2 - 6*o - 3. Suppose -4*q = 5 + 7. Let g(n) = -n**5 + n**4 - n**2 + n + 1. Let z(h) = q*g(h) - i(h). Let z(u) = 0. What is u?
-1, 0, 1
Let z(o) be the third derivative of 3*o**8/560 + 4*o**7/175 + 7*o**6/200 + o**5/50 - 13*o**2. Factor z(u).
3*u**2*(u + 1)**2*(3*u + 2)/5
Let l = 209/804 + -2/201. Let -1 - l*z**2 - z = 0. What is z?
-2
Let u be 9/(-12) - (33/15 - 3). Let n(r) be the third derivative of -u*r**5 - 5/24*r**4 + 4*r**2 + 1/3*r**3 + 0*r + 0. Factor n(p).
-(p + 2)*(3*p - 1)
Let 0*p + 3/5*p**3 - 1/5*p**2 + 0 + 1/5*p**5 - 3/5*p**4 = 0. What is p?
0, 1
Let y = -8 - -11. Suppose -y*l + 1 = -5. Solve 3*b**3 + 3*b**l + b - b - 3*b**4 - 3*b = 0.
-1, 0, 1
Let h(p) be the second derivative of -p**4/126 - p**3/63 - 6*p. Factor h(s).
-2*s*(s + 1)/21
Let q = 2509/275520 + -12/1435. Let h(j) be the third derivative of -1/96*j**4 - q*j**8 + 1/240*j**6 + 0 + 3*j**2 + 0*j + 0*j**7 + 0*j**5 + 0*j**3. Factor h(y).
-y*(y - 1)**2*(y + 1)**2/4
Suppose 0*x + x - 6*x = 0. Suppose 1/7*j - 1/7*j**2 + x = 0. What is j?
0, 1
Suppose -7 = -w - 4*c, w + 5 = c + 7. Let 4/5*p**2 + 0*p + 0 - 2/5*p**w = 0. Calculate p.
0, 2
Suppose 0 - 112/5*x**4 - 4/5*x - 38/5*x**2 - 32/5*x**5 - 114/5*x**3 = 0. Calculate x.
-2, -1, -1/4, 0
Let z(t) be the first derivative of -7*t**4/46 - 10*t**3/69 + 2*t**2/23 + 2. Factor z(i).
-2*i*(i + 1)*(7*i - 2)/23
Let s = -705 - -707. Let -9/2*r**3 + 9/2*r**s + 0 + 3/2*r**4 - 3/2*r = 0. What is r?
0, 1
Let o be (6/(-4))/((-51)/170). Let q(x) be the third derivative of 0 + 1/40*x**4 + 0*x + 1/30*x**3 + 1/100*x**o + 1/600*x**6 - 4*x**2. Factor q(c).
(c + 1)**3/5
Let o(c) = 2*c**2 - 12*c + 8. Let l = -7 + 10. Let k(a) = -a + 8*a - l*a - a**2 - 3. Let w(f) = -8*k(f) - 3*o(f). Factor w(m).
2*m*(m + 2)
Let n(c) = c**2 + 49*c + 184. Let f be n(-45). Factor -8/19*j**2 + 32/19*j**3 + 0 + 18/19*j**f + 0*j.
2*j**2*(j + 2)*(9*j - 2)/19
Let x(o) be the third derivative of o**6/360 - o**4/72 - 10*o**2. Factor x(w).
w*(w - 1)*(w + 1)/3
Suppose -5*f - 2*p = -7 + 1, 3*p = 4*f - 14. Factor 26/5*o**f + 24/5*o + 12/5*o**3 + 8/5 + 2/5*o**4.
2*(o + 1)**2*(o + 2)**2/5
Factor 3*n**4 + 93*n**5 - 2*n - 4*n**2 - 91*n**5 + n**4.
2*n*(n - 1)*(n + 1)**3
Let l = -353/2 + 177. Factor -l*v + 0 + 1/2*v**2 + 1/2*v**3 - 1/2*v**4.
-v*(v - 1)**2*(v + 1)/2
Let a be ((-8)/116)/(1/5). Let m = a - -148/261. Find y such that 2/9 - 2/9*y**2 + 2/9*y - m*y**3 = 0.
-1, 1
Let d(x) be the second derivative of 0*x**5 + 3*x + 0*x**3 + 1/12*x**4 + 0*x**2 + 0 + 1/21*x**7 - 1/10*x**6. Factor d(p).
p**2*(p - 1)**2*(2*p + 1)
Let p(i) be the third derivative of i**5/15 - 2*i**3/3 - 7*i**2. Solve p(h) = 0.
-1, 1
Let f(t) be the third derivative of 0 + 0*t + t**2 - 1/180*t**5 - 1/36*t**4 + 0*t**3. Factor f(h).
-h*(h + 2)/3
Let k be 22/6 - (-7)/21. Let g(h) be the first derivative of -1/3*h**2 + 0*h + 2/3*h**3 - 2 - 1/2*h**k + 2/15*h**5. Factor g(b).
2*b*(b - 1)**3/3
Let h be -2*(-32 + 3)*-1. Let v = h + 233/4. Factor 0 - 1/4*k**3 + v*k + 1/4*k**4 - 1/4*k**2.
k*(k - 1)**2*(k + 1)/4
Suppose 2*r + 5 = 3*r + 3*u, -3*r + 57 = -5*u. Suppose -5*a = -1 - r. Factor -