 20/3*o**d - 2/3 - 20/3*o**2 + 10/3*o = 0.
1
Suppose 4*o + 8 = 5*m, o + 4*o = -10. Factor -1/5*t**4 + 0*t - 1/5*t**3 + m*t**2 + 0.
-t**3*(t + 1)/5
Let x(y) be the first derivative of -y**6/30 + 3*y**5/25 + 3*y**4/10 - 2*y**3/3 - 21*y**2/10 - 9*y/5 + 56. What is g in x(g) = 0?
-1, 3
Let g(b) = b**2 + b + 1. Let d(m) be the second derivative of -m**5/20 - 5*m**4/12 - m**3/2 - 3*m**2/2 + m. Let k(f) = 2*d(f) + 6*g(f). Factor k(j).
-2*j**2*(j + 2)
Suppose -4*t - 8 = -6*t. Let z be t/(-12)*6/(-5). Suppose 6/5*g**2 + z*g - 4/5 = 0. Calculate g.
-1, 2/3
Let t be ((-24)/(-84))/(4/7). Let q**2 - 1/2*q - t*q**3 + 0 = 0. What is q?
0, 1
Let l(f) be the third derivative of f**6/200 - 13*f**5/100 - 7*f**4/20 - 3*f**2 - f. Find z, given that l(z) = 0.
-1, 0, 14
Let p be (0/(-1))/(14/(-7)). Let h(z) be the third derivative of 0*z - z**2 - 1/120*z**5 + 1/12*z**3 + 0*z**4 + p. Factor h(i).
-(i - 1)*(i + 1)/2
Let z(k) be the second derivative of k**9/10584 + k**8/5880 - k**7/2940 - k**6/1260 - k**3/6 - 3*k. Let o(j) be the second derivative of z(j). Factor o(s).
2*s**2*(s - 1)*(s + 1)**2/7
Let k(p) be the second derivative of 0*p**5 - 2*p + 1/300*p**6 + 0*p**3 + 0*p**4 + 0 - p**2 - 1/525*p**7. Let m(l) be the first derivative of k(l). Factor m(y).
-2*y**3*(y - 1)/5
Let o(f) be the third derivative of f**5/30 + 2*f**4/3 + 16*f**3/3 - 7*f**2. Factor o(k).
2*(k + 4)**2
Let b(k) = 7*k**2 + 39*k + 41. Let y(s) = 2*s**2 + 10*s + 10. Let h(v) = 2*b(v) - 9*y(v). Factor h(t).
-4*(t + 1)*(t + 2)
Let q(x) be the third derivative of x**5/150 - x**4/15 + x**3/5 - 2*x**2. Determine u so that q(u) = 0.
1, 3
Let g(n) be the first derivative of 0*n**3 + 8/25*n**5 - 3 + 1/5*n**4 + 0*n**2 + 0*n + 2/15*n**6. Let g(i) = 0. Calculate i.
-1, 0
Let v = -62 - -188/3. Suppose -v + 2/3*m**3 - 2*m**2 + 2*m = 0. Calculate m.
1
Let g(t) be the second derivative of -t**8/672 - t**7/630 + t**6/72 + t**5/30 + t**4/12 - 2*t. Let z(x) be the third derivative of g(x). Factor z(p).
-2*(p - 1)*(p + 1)*(5*p + 2)
Let i(v) be the first derivative of 5*v**6/6 - 3*v**5/5 - 3*v**4 - 4*v**3/3 - 35. Find l such that i(l) = 0.
-1, -2/5, 0, 2
Let t(b) be the third derivative of b**6/24 + 5*b**5/4 + 125*b**4/8 + 625*b**3/6 - 18*b**2. Factor t(c).
5*(c + 5)**3
Suppose 0*d - 3*d = -6. Suppose 3*h + d = 11. Factor 9*c + 2*c**3 + 1 + 3*c**3 - h - 12*c**2.
(c - 1)**2*(5*c - 2)
Let c be 15/6 - (-13)/26. Factor -2/3 + b + 4*b**2 + 7/3*b**c.
(b + 1)**2*(7*b - 2)/3
Let r = -1 - -7. Let d(m) = -1 - m**3 + 5 + r*m**2 - m**2 + 4*m. Let x(c) = c**2 + c + 1. Let q(b) = -d(b) + 4*x(b). Find p, given that q(p) = 0.
0, 1
Let t(j) be the third derivative of -j**5/120 + j**4/12 - j**3/4 - 2*j**2. Factor t(u).
-(u - 3)*(u - 1)/2
Let d(g) = 2*g + 6. Let u be d(-5). Let v be (-2)/(u - -2 - -1). Solve -2/5*j**v + 4/5*j + 0 = 0.
0, 2
Let f(c) be the second derivative of 0*c**5 + 1/6*c**4 + 0 - 1/42*c**7 - 1/15*c**6 + 0*c**2 + 1/6*c**3 - 3*c. Factor f(u).
-u*(u - 1)*(u + 1)**3
Let v(u) = -u**3 + u**2 + 0*u**3 + 6*u - u**4 - 5*u. Let x(w) = -2*w + 2*w**5 - 5*w**3 + w**5 + 3*w + w**2 + w - w**4. Let g(l) = -2*v(l) + x(l). Factor g(o).
o**2*(o - 1)*(o + 1)*(3*o + 1)
Let b(q) be the second derivative of -q**4/12 + q**3/6 + 10*q. Factor b(n).
-n*(n - 1)
Let v = 1/724 + 361/724. Factor -1/4*q**4 + 1/4*q - 1/2*q**3 + 1/4*q**5 + v*q**2 - 1/4.
(q - 1)**3*(q + 1)**2/4
Let j(z) be the second derivative of -10*z**7/21 - 2*z**6/5 + 7*z**5/5 + z**4 - 4*z**3/3 - 9*z. Determine y so that j(y) = 0.
-1, 0, 2/5, 1
Let b(a) be the third derivative of 0*a**4 + 0*a + 0*a**6 + 0*a**5 + 1/210*a**7 + 0*a**3 + 3*a**2 + 0. Factor b(u).
u**4
Let a = 1331/5 + -79859/300. Let o(k) be the third derivative of 0*k**5 + k**2 - a*k**6 + 1/60*k**4 + 0 + 0*k**3 + 0*k. Suppose o(c) = 0. What is c?
-1, 0, 1
Factor 0*g + 0 - 3/7*g**2 + 1/7*g**3.
g**2*(g - 3)/7
Let 0*v + 0 + 2/3*v**3 + 4/3*v**2 = 0. What is v?
-2, 0
Let g(z) be the first derivative of 0*z**2 + 0*z - 22/5*z**5 + 4/3*z**3 - 9/2*z**4 - 2. Factor g(l).
-2*l**2*(l + 1)*(11*l - 2)
Let p(w) be the second derivative of 1/70*w**5 + 0*w**2 - 1/42*w**4 - 1/147*w**7 + 0 + 2*w + 1/105*w**6 + 0*w**3. Factor p(i).
-2*i**2*(i - 1)**2*(i + 1)/7
Factor 1/2*y**2 + 1/4*y**5 - 3/4 + 5/4*y - 3/2*y**3 + 1/4*y**4.
(y - 1)**3*(y + 1)*(y + 3)/4
Suppose 24 = 2*f + 2*g, 0*f + 16 = f + 5*g. Let a = f - 9. What is t in -2/5 - 3/5*t - 1/5*t**a = 0?
-2, -1
Suppose -2*k + 4*c - 2 = 0, k = -2*c - 8 - 5. Let n = 23/3 + k. Factor 2/3*w**4 + 2*w**2 + 0 - n*w - 2*w**3.
2*w*(w - 1)**3/3
Let c = 36/17 - 184/119. Factor -10/7*r + c - 22/7*r**2 - 8/7*r**3.
-2*(r + 1)*(r + 2)*(4*r - 1)/7
Let c(p) = p**2 + 11*p + 12. Let m be c(-1). Factor 0*d + 2*d**m + 0 + 4/3*d**3 - 2/3*d**4.
-2*d**2*(d - 3)*(d + 1)/3
Factor -9/2*d - 3/2*d**3 + 3/2 + 9/2*d**2.
-3*(d - 1)**3/2
Let k(n) be the third derivative of -n**6/840 + n**5/140 - n**4/84 - 3*n**2. Find i such that k(i) = 0.
0, 1, 2
Let j(n) be the third derivative of -5*n**2 + 0*n + 0*n**3 + 1/90*n**5 + 0*n**4 - 1/360*n**6 + 0. Suppose j(o) = 0. Calculate o.
0, 2
Factor -7/5*d**3 - 16/5*d**2 - 2/5 - 11/5*d.
-(d + 1)**2*(7*d + 2)/5
Suppose -2*x + 5*j + 75 = x, -2*x = -3*j - 50. Suppose 3*b = -2*b + 5*m + x, 2*m = -10. What is h in -2*h**2 + b - 2*h**3 + 1 + 1 + 2*h + 0 = 0?
-1, 1
Solve -1 - 47*i**2 - 15*i + 52*i**2 + 11 = 0.
1, 2
Let t(x) be the second derivative of x**5/110 + 2*x**4/33 + x**3/11 - 7*x. Suppose t(s) = 0. Calculate s.
-3, -1, 0
Factor -32*a**2 - 19*a**3 + 8*a**4 + 0*a**3 + 4*a**5 + 3*a**3.
4*a**2*(a - 2)*(a + 2)**2
Suppose -3*f + 2 = 2*z - z, f = 0. Suppose -2 = -2*q + q + 2*i, 0 = -z*q - i + 9. Factor 3*d**3 - 5*d**3 + d**2 + 2*d + d**q - 2*d.
d**2*(d - 1)**2
Factor -225*n**2 + 0*n + 0*n + 223*n**2 + n**3.
n**2*(n - 2)
Let f(u) be the third derivative of -1/30*u**5 - 4/3*u**3 + 1/3*u**4 + 0 + 0*u - 2*u**2. Let f(y) = 0. Calculate y.
2
Let x(m) be the third derivative of 1/6*m**3 + 1/240*m**5 + 1/24*m**4 + 0 - 2*m**2 + 0*m. Let x(r) = 0. What is r?
-2
Let w(b) = -b**2 + 4*b - 5. Let h(q) = 0 - 13*q + 2*q**2 + 8 + 2*q**2 + 8. Let o(k) = -4*h(k) - 14*w(k). Factor o(a).
-2*(a - 1)*(a + 3)
Let c = -2/231 + 160/693. Factor 38/9*u**3 + 32/9*u + 8/9 + 50/9*u**2 + 14/9*u**4 + c*u**5.
2*(u + 1)**3*(u + 2)**2/9
Let z(w) be the first derivative of 0*w + 1/3*w**3 + 0*w**2 - 2. Let h(p) = -2*p**2 + 4*p - 4. Let m(n) = h(n) + z(n). What is s in m(s) = 0?
2
Suppose -10 = -5*a, 10 + 5 = 3*g + 3*a. Factor -k**5 - k**4 - 5*k**g - k + 0 + 2*k**2 + 7*k**3 - 1 + 0*k.
-(k - 1)**2*(k + 1)**3
Let h(n) be the third derivative of 2*n**2 - 1/780*n**6 + 0*n**3 + 1/130*n**5 - 1/455*n**7 + 1/78*n**4 + 0*n - 1/2184*n**8 + 0. Suppose h(s) = 0. What is s?
-2, -1, 0, 1
Let k(o) be the first derivative of -o**7/70 + o**6/20 + o**2/2 - 1. Let c(j) be the second derivative of k(j). Factor c(d).
-3*d**3*(d - 2)
Let f(u) be the first derivative of -5 - 15/4*u**2 - 3/2*u - 2*u**3. Find h, given that f(h) = 0.
-1, -1/4
Let j(u) be the third derivative of -1/18*u**4 - 1/30*u**5 + 1/36*u**6 + 0*u + 2*u**2 + 0 + 0*u**3. Factor j(d).
2*d*(d - 1)*(5*d + 2)/3
Let p(w) = 5*w**3 - 2*w**2 - 11*w - 8. Let f(s) = -26*s**3 + 11*s**2 + 56*s + 41. Let l(m) = 2*f(m) + 11*p(m). Solve l(k) = 0 for k.
-1, 2
Let o(y) be the second derivative of 0*y**3 + 0 + 0*y**2 - y - 1/12*y**4 - 1/20*y**5. Factor o(f).
-f**2*(f + 1)
Let 6/5*h**4 + 1/5*h**5 + 2/5 + 16/5*h**2 + 9/5*h + 14/5*h**3 = 0. What is h?
-2, -1
Let s be (4 + 91)/(4*-1). Let d = 24 + s. Factor 0*x**3 + 0*x - 1/2*x**2 + 1/4 + d*x**4.
(x - 1)**2*(x + 1)**2/4
Suppose 0 = 5*f - 11 + 1. Factor 24*n**f + 4*n - n - n - 2.
2*(3*n + 1)*(4*n - 1)
Suppose 193 = 3*j - 122. Let x = j - 523/5. What is n in -2/5*n**5 + 0 - x*n - 8/5*n**2 - 12/5*n**3 - 8/5*n**4 = 0?
-1, 0
Let c(b) be the third derivative of b**8/3360 + b**7/1680 - b**6/1440 - b**4/24 - 4*b**2. Let m(w) be the second derivative of c(w). Factor m(g).
g*(g + 1)*(4*g - 1)/2
Let m(v) = -v**2 + 5*v - 7. Let y be m(7). Let b be (-4)/8 + y/(-6). Let 0*n**3 - b*n**2 + 3*n**4 + 0 - 3/2*n**5 + 3/2*n = 0. What is n?
-1, 0, 1
Let g(q) be the third derivative of -q**7/210 - q**6/40 - q**5/20 - q**4/24 - 6*q**2. Factor g(i).
-i*(i + 1)**3
Let q = -5 + 7. Find g, given that 10 - 8 - 2*g + 6*g + q*g**2 = 0.
-1
Let k(i) be the second derivative of -5*i**4/24 