/4, 0
Solve -4/3*f**2 + 0*f**3 + 4/3*f**4 - 2/3*f + 0 + 2/3*f**5 = 0.
-1, 0, 1
Suppose 0*y + 1 = -3*r + 4*y, 5*y = 4*r + 2. Let k be r/(-5) + 7/5. Factor -4*m**k + 2*m + 0*m - m**3 + 3*m**3.
2*m*(m - 1)**2
Let t be (259/(-21))/(2/(-4)). Let j = 26 - t. Factor -2/3 - 2*m - j*m**2.
-2*(m + 1)*(2*m + 1)/3
Let o(p) be the third derivative of 0 + 1/60*p**5 - 3*p**2 + 0*p + 0*p**4 - 1/6*p**3. Factor o(u).
(u - 1)*(u + 1)
Let j(w) = 21*w**3 + 45*w**2 + 60*w + 18. Let q(z) = -1 + 12*z**2 + 6*z**3 + z**2 + 6 + 17*z. Let f(k) = -5*j(k) + 18*q(k). Determine l, given that f(l) = 0.
-2, -1, 0
Let y(f) be the third derivative of -1/30*f**6 - 2/5*f**5 + 0*f**3 - 3*f**2 + 0 + 0*f - 3/2*f**4. Factor y(z).
-4*z*(z + 3)**2
Let c(i) = i**2 + 1. Let y(s) = -24*s**2 + 2*s - 18. Let u(k) = 44*c(k) + 2*y(k). Determine v, given that u(v) = 0.
-1, 2
Let y be -3 - (3 + -5 + -1). Factor q**3 - 3*q + 7*q - 5*q + y*q.
q*(q - 1)*(q + 1)
Let k be 20/8*16/10. Suppose -2*h + 7 = 3*h - 4*n, 0 = k*h - 3*n - 6. Solve 1/3*p**4 + 0*p - 1/3*p**5 + 1/3*p**h - 1/3*p**2 + 0 = 0.
-1, 0, 1
Let n(r) = 15*r**2 - 77*r - 27. Let m(c) = 8*c**2 - 38*c - 14. Let p(s) = 5*m(s) - 2*n(s). Factor p(b).
2*(b - 4)*(5*b + 2)
Let c = 7 + -2. Let x be 8/(-6)*(-39)/26. Suppose 7*t**2 - 2*t**3 - 2*t**4 + 4*t**c - 2*t**5 - 5*t**x = 0. Calculate t.
-1, 0, 1
Let l(k) be the second derivative of -k**6/75 + 3*k**5/50 - k**4/10 + k**3/15 - 6*k. Solve l(u) = 0.
0, 1
Let l(s) = 2*s**3 - 2*s**2 - 2*s + 2. Let x(p) = 2*p**3 - 2*p**2 - 2*p + 2. Let k(z) = 2*z - 12. Let b be k(9). Let c(w) = b*l(w) - 7*x(w). Factor c(h).
-2*(h - 1)**2*(h + 1)
Suppose 1 + 1/4*w**2 - w = 0. What is w?
2
Let y(z) be the first derivative of 2/7*z - 1 - 1/7*z**4 + 4/21*z**3 + 3/7*z**2 - 6/35*z**5 - 1/21*z**6. Suppose y(l) = 0. Calculate l.
-1, 1
Let p be (-3 - (-18)/4)*2. Let g be ((-4)/p*3)/(-6). Solve 2/3*b**4 - 8/3*b**3 + 4*b**2 - 8/3*b + g = 0.
1
Let x be 584/(-219)*(-6)/8. What is l in 1/10*l + 1/10*l**x - 1/5 = 0?
-2, 1
Let i(r) = -r**2 - 9*r. Let n be i(-8). Let n*y**2 - y**2 + 6*y**3 + 2*y**2 - 3*y**4 = 0. What is y?
-1, 0, 3
Let o(n) be the second derivative of -7*n**4/4 - 8*n**3 - 6*n**2 - 2*n + 13. Let o(l) = 0. Calculate l.
-2, -2/7
Suppose 0 = -5*b + b + 4. Let o be b*4 + 48/(-15). Suppose 2/5 + 1/5*y**3 + o*y**2 + y = 0. What is y?
-2, -1
Factor 0*g**2 + 1/6*g + 0 - 1/6*g**3.
-g*(g - 1)*(g + 1)/6
Let s be (-1)/(-5)*0/1. Let m(c) be the third derivative of 0*c + s + 1/420*c**7 + 0*c**6 - 3*c**2 + 0*c**4 + 0*c**5 + 0*c**3. Solve m(o) = 0.
0
Let g be (-2)/3*(-15 - -12). What is b in -1/3*b**g - 2/3 - b = 0?
-2, -1
Suppose 0*o - 3 = -3*b - 2*o, 2*b + 4*o = -6. Let r = 4018/9 + -446. Factor 0 - r*y**2 + 2/9*y + 2/9*y**b.
2*y*(y - 1)**2/9
Let b(s) be the first derivative of s**5/90 - s**4/18 + s**2 + 1. Let w(t) be the second derivative of b(t). Find i, given that w(i) = 0.
0, 2
Let v(d) be the first derivative of 6*d**5/85 + 2*d**4/17 - 4*d**3/51 - 4*d**2/17 - 2*d/17 + 9. What is a in v(a) = 0?
-1, -1/3, 1
Let a(b) be the second derivative of b**4/6 - 6*b. Factor a(i).
2*i**2
Let x(w) be the first derivative of -w**6/24 + w**5/20 + w**4/16 - w**3/12 + 1. Solve x(r) = 0.
-1, 0, 1
Let r(b) be the first derivative of 3/4*b**4 - b**3 + 2 - 1/5*b**5 + 1/2*b**2 + 0*b. Factor r(j).
-j*(j - 1)**3
What is v in -3/4*v**3 + 15/4*v**2 - 6*v + 3 = 0?
1, 2
Let m(o) = 30*o**4 - 201*o**3 + 411*o**2 - 360*o + 141. Let s(t) = -3*t**4 + 20*t**3 - 41*t**2 + 36*t - 14. Let k(d) = 2*m(d) + 21*s(d). Factor k(l).
-3*(l - 2)**2*(l - 1)**2
Let j(r) = -56*r - 192. Let c(d) = d**2 + 56*d + 193. Let h(y) = -4*c(y) - 3*j(y). Factor h(x).
-4*(x + 7)**2
Let q(x) = x + 9. Let l be q(-7). Let j(t) be the first derivative of 2 - 2/9*t**3 + 2/3*t + 1/3*t**l - 1/6*t**4. Let j(y) = 0. What is y?
-1, 1
Let -2*o**4 - 16/7*o**2 - 38/7*o**3 + 0 + 8/7*o = 0. Calculate o.
-2, -1, 0, 2/7
Let s(x) be the third derivative of x**8/840 - x**7/140 + x**6/90 - x**3/2 - x**2. Let v(w) be the first derivative of s(w). Determine t so that v(t) = 0.
0, 1, 2
Let q(f) be the first derivative of f**4/42 - 2*f**3/21 + f**2/7 + 3*f - 2. Let z(i) be the first derivative of q(i). Let z(x) = 0. What is x?
1
Suppose 272 + 444 = 4*t + 4*d, -5*d + 531 = 3*t. Let j = -40/9 - -52/9. Factor -253/3*v**2 + t*v**3 - 147*v**4 + 52/3*v - j.
-(3*v - 1)**2*(7*v - 2)**2/3
Let k be -2 - 7/(-2) - (-6)/(-20). Find z, given that -k*z**2 - 2/5*z**3 - 6/5*z - 2/5 = 0.
-1
Find i such that -4 + 8 + 4*i**2 + i + 10*i - 3*i = 0.
-1
Let b(t) be the first derivative of t**8/448 - t**7/140 + t**5/40 - t**4/32 + 2*t**2 + 2. Let g(p) be the second derivative of b(p). Solve g(y) = 0 for y.
-1, 0, 1
Factor 1/6*x**2 + 4/3*x + 8/3.
(x + 4)**2/6
Let l(q) be the third derivative of 0*q + 0*q**3 - 1/35*q**7 - 1/30*q**6 + 0*q**4 - 8*q**2 + 0 + 0*q**5. Factor l(n).
-2*n**3*(3*n + 2)
Let u be -1 + -1 + (8 - 3). Factor 4*h**2 - h**2 - 2 - 2*h**2 + u - 2*h.
(h - 1)**2
Factor 22*y**3 + 5 + 8*y**4 + 2*y**2 + 0 + 3 - 32*y - 8*y**2.
2*(y - 1)*(y + 2)**2*(4*y - 1)
Factor -2/13*u**3 + 2/13*u**2 + 4/13*u + 0.
-2*u*(u - 2)*(u + 1)/13
Let l(k) be the third derivative of -k**6/120 - k**5/15 - k**4/6 - 8*k**2. Let u be l(-3). Factor 3/2*c**2 + 5*c + 2 - 9/4*c**u.
-(c - 2)*(3*c + 2)**2/4
Let m(u) be the second derivative of 2/7*u**2 + 0 - 1/42*u**4 - 1/21*u**3 - 8*u. Suppose m(n) = 0. Calculate n.
-2, 1
Factor -1/5*x**4 + 1/5*x**2 + 0*x + 0 + 0*x**3.
-x**2*(x - 1)*(x + 1)/5
Let u = -394/21 - -122/7. Let t = -2/3 - u. Determine r, given that 1/3*r - 2/3*r**4 + 0*r**3 + t*r**2 - 1/3*r**5 + 0 = 0.
-1, 0, 1
Let w(t) = 51*t**2 + 2*t + 1. Let p be w(-1). Let b be 4/(-18) - p/(-63). Factor 0 - 2/7*l + 2/7*l**5 - b*l**4 + 0*l**3 + 4/7*l**2.
2*l*(l - 1)**3*(l + 1)/7
Suppose -27*q**3 - q + 6 - 48*q**2 - 15*q + q = 0. Calculate q.
-1, 2/9
Let x(i) be the second derivative of -i**7/525 + i**5/75 - i**3/15 - 2*i**2 - i. Let a(t) be the first derivative of x(t). Factor a(r).
-2*(r - 1)**2*(r + 1)**2/5
Let b(q) be the second derivative of -1/120*q**6 - 1/8*q**2 + 1/24*q**4 + 0*q**3 + 0 + 0*q**5 + 2*q. Factor b(n).
-(n - 1)**2*(n + 1)**2/4
Let c(l) = -l**3 - 6*l**2 + 1. Let j be c(-6). Let u(o) be the first derivative of -3/20*o**4 + 3/10*o**2 + j - 1/5*o**3 + 0*o + 3/25*o**5. Factor u(p).
3*p*(p - 1)**2*(p + 1)/5
Let r = 56 - 53. Solve 0*l**2 - 2/3*l**r - 5/3*l**5 + 0 + 0*l - 7/3*l**4 = 0.
-1, -2/5, 0
Let k = 539/28740 + -1/479. Let t(h) be the second derivative of 1/30*h**3 + 0 + k*h**4 - 4*h + 0*h**2. Factor t(j).
j*(j + 1)/5
Suppose 0 = -2*f + 4*p + 54 + 56, -2*p - 112 = -2*f. Let r = -283/5 + f. Factor -2/5*z**2 + 2/5 - r*z**3 + 2/5*z.
-2*(z - 1)*(z + 1)**2/5
Let x(g) be the third derivative of -g**5/45 + 11*g**4/72 + g**3/6 - 21*g**2. Factor x(p).
-(p - 3)*(4*p + 1)/3
Let u(s) be the first derivative of -5*s**6/6 - s**5 + 42. Factor u(v).
-5*v**4*(v + 1)
Let f = -5 - -7. Suppose 0 = f*r + 5*y - 3 + 2, -2*y - 17 = -5*r. Factor -3 - l**2 - 3*l + r - 2*l**2.
-3*l*(l + 1)
Let z(f) be the third derivative of 9*f**7/280 + 11*f**6/80 + 47*f**5/240 + f**4/24 - f**3/6 - 10*f**2. Determine m, given that z(m) = 0.
-1, -2/3, 2/9
Let g(r) be the third derivative of r**6/1080 + r**5/270 - r**4/216 - r**3/27 + 23*r**2. Determine u, given that g(u) = 0.
-2, -1, 1
Suppose 40 - 40 = -2*b. Determine t so that 8/5*t**5 - 2/5*t**2 - 16/5*t**4 + b*t + 0 + 2*t**3 = 0.
0, 1/2, 1
Let y(w) be the third derivative of 0*w**5 - 3*w**2 + 1/40*w**6 - 1/112*w**8 + 0*w + 0*w**3 + 0 + 0*w**4 + 0*w**7. Factor y(a).
-3*a**3*(a - 1)*(a + 1)
Let d(c) be the first derivative of 2*c**3/3 - 27. Find r such that d(r) = 0.
0
Let -6 + 38/3*p**4 + 5/3*p**5 + 76/3*p**2 - p + 94/3*p**3 = 0. Calculate p.
-3, -1, 2/5
Let u = 4 + -2. Let w**3 - 3*w**2 - u*w - 2 + 5*w + 1 = 0. Calculate w.
1
Let f(r) be the first derivative of -r**4/4 - 5*r**3/6 - r**2/4 + r + 6. Let f(y) = 0. What is y?
-2, -1, 1/2
Let w(x) be the first derivative of 2*x**5/55 - 10*x**3/33 + 8*x/11 + 4. Solve w(p) = 0.
-2, -1, 1, 2
Let r(s) be the first derivative of -2*s**6/5 + 13*s**5/25 + 2*s**4/5 - 7*s**3/15 - s**2/5 - 7. Determine d, given that r(d) = 0.
-2/3, -1/4, 0, 1
Let f be 2/(-3) - (-20)/3. Let o(h) = -h**3 + h + 6. Let x(z) = -z**3 + z + 5. Let y(t) = f*x(t) - 5*o(t). Solve y(m) = 0 for m.
-1, 0, 1
Suppose 0 = -4*s - 