3 - 10/3*v - 2/3*v**3 - k*v**2 = 0.
-2, -1
Let q(o) be the first derivative of -o**6/45 - 4*o**5/75 + o**4/15 + 16*o**3/45 + 7*o**2/15 + 4*o/15 - 26. Factor q(d).
-2*(d - 2)*(d + 1)**4/15
Solve 1/2*s - 2 + 1/4*s**2 = 0 for s.
-4, 2
Let o(q) be the third derivative of -q**8/3360 + q**7/1260 + q**6/360 - q**5/60 - q**4/24 + 3*q**2. Let d(l) be the second derivative of o(l). Factor d(k).
-2*(k - 1)**2*(k + 1)
Let i = 2 + 0. Let l = 3/23 - -37/69. Factor -4/9 - l*z - 2/9*z**i.
-2*(z + 1)*(z + 2)/9
Let s(z) be the third derivative of -z**7/1260 + z**6/90 - z**5/20 - z**4/24 + 5*z**2. Let k(i) be the second derivative of s(i). Factor k(a).
-2*(a - 3)*(a - 1)
Let u = 2/5 - 1/15. Let v(l) be the first derivative of 8/5*l**5 + 8/3*l**3 - 2 + 0*l + u*l**6 + l**2 + 3*l**4. Factor v(w).
2*w*(w + 1)**4
Let d(g) be the first derivative of -g**5/20 - g**4/16 + g**3/12 + g**2/8 - 19. Factor d(z).
-z*(z - 1)*(z + 1)**2/4
Let -8/5*y**3 + 4/5*y**4 + 0*y - 12/5*y**2 + 0 = 0. What is y?
-1, 0, 3
Let m(a) = 83*a**5 + 40*a**4 + 5*a**3 - 3*a**2 - 3. Let p(i) = i**5 - i**2 - 1. Let b(n) = -m(n) + 3*p(n). Determine r, given that b(r) = 0.
-1/4, 0
Let p be (8 - (10 - 2))*(0 + -1). Factor 0*m**3 - 1/4*m**4 + 0 + p*m + 0*m**2.
-m**4/4
Let j be (-7)/(1 - (0 - 0)). Let x(g) = g**3 + 7*g**2 - g - 7. Let y be x(j). Factor -k + 2 + y + 3 - k**2 - 3.
-(k - 1)*(k + 2)
Let u = 95 + -90. Solve -8/3*b**3 + 0*b - 2/9*b**u + 0 + 4/3*b**4 + 16/9*b**2 = 0.
0, 2
Suppose 8*w - 12 = 4*w. Factor -6/5*q**w - 2/5*q + 0 + 6/5*q**2 + 2/5*q**4.
2*q*(q - 1)**3/5
Suppose -2*k - 8 = -p - 3*p, 3*k = -3*p + 6. Solve n**4 + 0*n + k*n**2 - n**2 - n + n**3 = 0.
-1, 0, 1
Suppose -5*z + 74 = 24. Factor -6 + 24*s**2 + 10 - 20*s + 2*s - z*s**3.
-2*(s - 1)**2*(5*s - 2)
Let p = -97 + 97. Let o(z) be the second derivative of -1/18*z**4 + p*z**2 + 0 + 1/45*z**6 + 2*z - 1/30*z**5 + 1/9*z**3. Determine y, given that o(y) = 0.
-1, 0, 1
Let d(c) = -7*c**5 + 43*c**4 + 61*c**3 + 24*c**2 + 13. Let z(m) = m**5 - 7*m**4 - 10*m**3 - 4*m**2 - 2. Let j(w) = 6*d(w) + 39*z(w). Factor j(o).
-3*o**2*(o + 1)*(o + 2)**2
Find v such that 8/5*v**3 - 2*v**2 + 0 - 2/5*v**4 + 4/5*v = 0.
0, 1, 2
Let r(s) be the first derivative of 2*s**3/15 + 2*s**2/5 + 16. Factor r(p).
2*p*(p + 2)/5
Find r such that -2*r + 0 - 8/5*r**4 + 32/5*r**2 + 34/5*r**3 = 0.
-1, 0, 1/4, 5
Let x(w) be the first derivative of 845*w**3/3 - 130*w**2 + 20*w + 14. Find v such that x(v) = 0.
2/13
Let w(k) = 2*k**3 + 10*k - 6. Let y = -4 + 7. Let q(c) = 2*c**3 + 3*c**y - c**2 - c**3 + 19*c - 11. Let o(j) = -6*q(j) + 11*w(j). Suppose o(s) = 0. What is s?
0, 1, 2
Let s(f) be the third derivative of -f**7/13860 - f**6/1320 - f**5/330 - f**4/6 - 2*f**2. Let h(w) be the second derivative of s(w). Factor h(t).
-2*(t + 1)*(t + 2)/11
Let m be (-11)/(-12) - 7/28. Let 0 - 2/3*b**2 - m*b**4 + 4/3*b**3 + 0*b = 0. What is b?
0, 1
Let u(m) = -4*m**4 + 7*m**3 + 5*m**2. Let k(x) = -4*x**4 + 8*x**3 + 4*x**2. Let l(d) = -3*k(d) + 4*u(d). Solve l(b) = 0 for b.
-1, 0, 2
Let j(v) be the first derivative of -1/3*v - 2/9*v**3 + 1/5*v**5 - 1/6*v**4 + 1/2*v**2 - 1 - 1/18*v**6. Suppose j(p) = 0. What is p?
-1, 1
Let m = 440 + -3074/7. Factor 6/7*l**4 - 4/7*l**2 - 4/7*l**3 - 2/7*l**5 + m*l - 2/7.
-2*(l - 1)**4*(l + 1)/7
Solve 1/4*g**2 - 3/4 - 1/2*g = 0.
-1, 3
Let u(l) be the second derivative of l**4/72 - l**3/6 - 4*l**2/3 + 2*l - 1. Factor u(z).
(z - 8)*(z + 2)/6
Let g = -4071/2 + 1999. Let x = -36 - g. Factor x*o**2 + 3*o + 9/2.
(o + 3)**2/2
Factor 0 - 2/15*z**3 + 0*z + 0*z**2.
-2*z**3/15
Let w be 16/(-30)*2*15/(-18). Factor 0 - 50/9*q**3 + 40/9*q**2 - w*q.
-2*q*(5*q - 2)**2/9
Let p = 640/11 + -119/2. Let a = p + 20/11. Suppose -1/4*d**2 - a*d**3 + 1/4*d + 0 = 0. What is d?
-1, 0, 1/2
Let 0*z**2 + 3/2*z**4 + 0 + 0*z**3 + 0*z = 0. What is z?
0
Let -4*l - 16/3*l**2 + 4*l**3 - 2/3*l**4 + 6 = 0. What is l?
-1, 1, 3
Let p(w) = -w - 4. Let s be p(-8). Let d(b) be the first derivative of -1/12*b**6 + 1/3*b**3 - 1/2*b + 1/4*b**s - 1 - 1/4*b**2 - 1/10*b**5. Factor d(j).
-(j - 1)**2*(j + 1)**3/2
Suppose -2*t = 3*t - 15, 5*k + t - 28 = 0. Factor 8/9*g - 8/3*g**2 + 26/9*g**3 - 4/3*g**4 + 2/9*g**k + 0.
2*g*(g - 2)**2*(g - 1)**2/9
Solve 0*x**2 - 11*x**3 + 3*x**2 + 14*x**3 = 0.
-1, 0
Suppose 0*h = 5*h - 10. Solve -2 + 2*a**h + 4*a**2 + 0*a**2 - 4*a**2 = 0 for a.
-1, 1
Let p(t) be the third derivative of t**7/945 - t**6/270 + t**5/270 - 3*t**2. Solve p(d) = 0.
0, 1
Let x(n) = -1. Let k(i) = -2*i**4 - 10*i**3 - 14*i**2 - 6*i - 5. Let g(j) = -2*k(j) + 10*x(j). Find u such that g(u) = 0.
-3, -1, 0
Let m(r) be the third derivative of -r**8/280 - r**7/525 + 7*r**6/150 + 2*r**5/75 - 2*r**4/15 - r**2. Determine u, given that m(u) = 0.
-2, -1, 0, 2/3, 2
Let p(x) = x**3 - 7*x**2 + x - 2. Let q be p(7). Suppose -5*s**3 + 2*s**5 + 4*s**3 - s**q = 0. What is s?
-1, 0, 1
Let f(u) = -5*u + 5. Let b be f(1). Let y(l) be the first derivative of 3 + 1/12*l**4 + b*l + 1/3*l**2 + 1/3*l**3. Suppose y(j) = 0. What is j?
-2, -1, 0
Let k be (7/(-84))/(3/(-30)). Let 1/6*h + k*h**4 - 5/6*h**2 - 2/3*h**5 + 1/2*h**3 + 0 = 0. What is h?
-1, 0, 1/4, 1
Let t(l) be the third derivative of -l**5/30 - l**4/6 + l**3 + 27*l**2. Factor t(a).
-2*(a - 1)*(a + 3)
Let s(z) be the first derivative of 1/2*z**2 - 4 + 0*z - 1/2*z**4 + 0*z**3 + 0*z**5 + 1/6*z**6. Factor s(b).
b*(b - 1)**2*(b + 1)**2
Suppose -w + 3*k + 4 = 0, 3*w - 2*k = -0*k + 19. Factor -8*l + 16*l**3 + 4*l**5 + 2 + w*l**4 - 4*l**2 + 4*l - 21*l**4.
2*(l - 1)**4*(2*l + 1)
Let t(l) = 6*l**4 - 27*l**2 + 12*l - 9. Let c(j) = 3*j**4 - 13*j**2 + 6*j - 4. Let g(n) = 9*c(n) - 4*t(n). Factor g(f).
3*f*(f - 1)**2*(f + 2)
Let a(f) = -f**4 + 23*f**3 + 65*f**2 + 57*f + 11. Let v(x) = 2*x**4 - 22*x**3 - 66*x**2 - 58*x - 10. Let y(g) = 6*a(g) + 5*v(g). Factor y(m).
4*(m + 1)**3*(m + 4)
Let 2/3*b**3 + 2/3*b**4 + 0 + 0*b + 2/9*b**2 + 2/9*b**5 = 0. What is b?
-1, 0
Suppose q = -q - 4*t + 4, t - 22 = -4*q. Let d be (q/21)/(5/7). Factor -2/5*b**2 + 0 + 2/5*b**4 + 0*b + 2/5*b**3 - d*b**5.
-2*b**2*(b - 1)**2*(b + 1)/5
Suppose 0 + 0*q + 2/3*q**4 + 0*q**3 - 2/3*q**2 = 0. Calculate q.
-1, 0, 1
Let l = -16 - -21. Let u(k) be the third derivative of 0*k + 1/36*k**4 + 1/504*k**8 - 1/90*k**6 + 1/9*k**3 + 0 - 1/45*k**l + 1/315*k**7 - 2*k**2. Factor u(m).
2*(m - 1)**2*(m + 1)**3/3
Let t(s) be the second derivative of s**6/60 + 3*s**5/20 + 13*s**4/24 + s**3 + s**2 + 13*s. Factor t(r).
(r + 1)**2*(r + 2)**2/2
Let q(c) = c**3 - 4*c**2 - 6*c - 1. Let y be q(-1). Determine k, given that y*k + 2/7*k**2 - 2/7 = 0.
-1, 1
Let y(r) be the third derivative of -r**8/30240 - r**7/3780 - r**6/1080 - r**5/15 + 4*r**2. Let c(m) be the third derivative of y(m). Solve c(l) = 0 for l.
-1
Let c(n) be the second derivative of -n**4/30 + n**3/5 + 8*n. Determine z, given that c(z) = 0.
0, 3
Let i = -5 - -4. Let f be i/3*(1 + -7). Let 7*q**3 + 8*q + 15*q**2 + q**3 + f + 2*q**4 - 3*q**2 = 0. What is q?
-1
Let a(k) be the third derivative of -k**7/5040 + k**5/240 + k**4/72 + k**3/2 - 3*k**2. Let z(q) be the first derivative of a(q). Let z(v) = 0. What is v?
-1, 2
Let o be 0 + 1/2*6. Suppose -o + 5 = b. Let -w**2 + b*w + 0*w**2 + 1 - 1 = 0. What is w?
0, 2
Let r(x) = 10*x**3 + 32*x**2 + 30*x + 10. Let q(b) = -50*b**3 - 159*b**2 - 149*b - 51. Let j(z) = 4*q(z) + 22*r(z). Determine a, given that j(a) = 0.
-2, -1, -2/5
Let o = -74327/13374 - -3/1486. Let h = o + 6. Find t such that -2/3*t**2 - h + 14/9*t = 0.
1/3, 2
Let t = 3 + 1. Factor v**2 - v**3 - t*v**2 + 3*v**2 + v**4.
v**3*(v - 1)
Let n(g) be the second derivative of -g**5/360 - g**4/72 + 3*g**2/2 - 2*g. Let w(h) be the first derivative of n(h). Factor w(m).
-m*(m + 2)/6
Suppose -4*z + 2*y = -10, -4*y + 2 - 22 = 0. Let x = z + 0. Determine u, given that -1/2*u**2 - 1/2*u**4 + x + 0*u + u**3 = 0.
0, 1
Let w(q) be the first derivative of -q**4/48 + q**3/6 - 3*q**2/8 - 4*q - 2. Let r(l) be the first derivative of w(l). Factor r(b).
-(b - 3)*(b - 1)/4
Solve 1/7*o - 2/7 + 3/7*o**2 - 1/7*o**4 - 1/7*o**3 = 0 for o.
-2, -1, 1
Let x be 205/20 + (-1)/4. Suppose -5*t = -x - 0. Factor -4*d - t - 1/2*d**3 - 5/2*d**2.
-(d + 1)*(d + 2)**2/2
Let c(u) be the first derivative of 1/4*u + 4 + 1/16*u**4 + 1/4*u**3 + 3/8*u**2. Let c(q) = 0. Calculate q.
-1
Let o(p) be the second derivative of p + 1/6*p**