
-2/7, 0, 1, 2
Factor -4/3*b**2 + 312*b - 18252.
-4*(b - 117)**2/3
Let j(m) be the second derivative of -m**6/1020 + 2*m**5/85 - 4*m**4/17 + 64*m**3/51 - 57*m**2/2 - 53*m. Let f(w) be the first derivative of j(w). Factor f(s).
-2*(s - 4)**3/17
Suppose -4*i + 24 + 26 = -5*k, -3*k - 4*i = 30. Let g = k + 13. Factor 0 + 1/2*f**5 + 0*f - 1/2*f**2 + 1/2*f**4 - 1/2*f**g.
f**2*(f - 1)*(f + 1)**2/2
Let r(f) = f**3 - 3*f**2 - f - 7. Let s be r(4). Factor s*w**2 + 10*w - 29 + 49 - 30*w.
5*(w - 2)**2
Let k be ((-1)/(-7))/((14*8/112)/14). Factor 12*f**k + 4/5*f**3 + 252/5*f + 196/5.
4*(f + 1)*(f + 7)**2/5
Let l(s) be the second derivative of s**6/40 + 453*s**5/80 - 459*s**4/16 + 461*s**3/8 - 231*s**2/4 - 2*s + 97. Solve l(f) = 0 for f.
-154, 1
Suppose -16*n - 4 + 4 = 0. Let p be 3 + 1 - n - 1. Determine m, given that 6/7*m**2 - 4/7*m**4 - 2/7 + 2/7*m - 2/7*m**p = 0.
-1, 1/2, 1
Let x(a) be the third derivative of a**6/30 + a**5/15 - 5*a**4/3 + 16*a**3/3 - 53*a**2 + 6. Let x(q) = 0. What is q?
-4, 1, 2
Let w(v) be the second derivative of v**7/21 + 13*v**6/15 + 9*v**5/5 - 80*v**4/3 + 128*v**3/3 - 8*v - 3. Factor w(b).
2*b*(b - 2)*(b - 1)*(b + 8)**2
Let f be 15/(-75) + 21/5. Suppose f*a + 21 = 11*a. Factor 1/2*j**2 + 1/6*j**a - 2/3 + 0*j.
(j - 1)*(j + 2)**2/6
Let r(s) = -6*s**2 - 6*s - 8. Let k(v) = -5*v**2 - 6*v - 5. Let m(i) = 5*k(i) - 4*r(i). Factor m(y).
-(y - 1)*(y + 7)
Let s(k) be the first derivative of -5*k**3/12 - 5*k**2/4 + 10*k - 555. Factor s(i).
-5*(i - 2)*(i + 4)/4
Determine z so that -5*z**4 - 7*z**2 + 7*z**2 + 35*z**3 + 10*z**4 = 0.
-7, 0
Let l(w) be the second derivative of -w**6/45 + w**5/30 + w**4/18 - w**3/9 + 47*w. Let l(x) = 0. What is x?
-1, 0, 1
Let m be (-4600)/(-616) - 5/(-7). Factor -8/11 - m*c**2 - 56/11*c.
-2*(5*c + 2)*(9*c + 2)/11
Suppose -4*b = 5*m + 10, 9*b - m - 2 = 5*b. Let r be -1 + 1 - -2 - -2. Suppose 4/3*t**r + 0*t + b + 4/3*t**2 + 8/3*t**3 = 0. Calculate t.
-1, 0
Let y(t) be the third derivative of t**5/12 - 5*t**4/8 + 5*t**3/3 - 57*t**2. What is a in y(a) = 0?
1, 2
Let j(n) be the first derivative of 2 - 3/16*n**4 + 1/4*n**3 + 0*n**2 + 0*n. Factor j(u).
-3*u**2*(u - 1)/4
Suppose -5*t + 16 = -4. Suppose 0*o - o + 7 = 5*c, -2*o + 8 = t*c. Factor -6*k - 1 - 1 + 6 + k**2 + k**o.
2*(k - 2)*(k - 1)
Let a = -22/37 + 213/296. Let r(z) be the first derivative of 0*z + a*z**4 + 1/3*z**3 + 5 + 0*z**2. Factor r(f).
f**2*(f + 2)/2
Let x = -3 - 7. Let g = -8 - x. Factor -1 + 2*q - q**g + q**3 + 2 + q - 4*q.
(q - 1)**2*(q + 1)
Factor -1/2*p**2 - 1/2*p**4 + p**3 + 0 + 0*p.
-p**2*(p - 1)**2/2
Let k(q) be the third derivative of q**8/280 - q**7/280 - q**6/120 + 2*q**3 - 6*q**2. Let t(c) be the first derivative of k(c). What is y in t(y) = 0?
-1/2, 0, 1
Let c(m) be the third derivative of m**8/84 - m**6/30 + 67*m**2 - m. Find k such that c(k) = 0.
-1, 0, 1
Let h be (-1)/(-6) + (-63)/432. Let z(r) be the second derivative of 0 + h*r**4 + 0*r**3 + 0*r**2 + 2*r + 1/80*r**5. Suppose z(o) = 0. Calculate o.
-1, 0
Let o(r) = -6*r**2 + 20*r**4 - 5*r**3 + r**4 + r**3 - 23*r**3. Let l(p) = 5*p**3 + 2*p**3 - 6*p**3. Let c(x) = -12*l(x) - o(x). Factor c(d).
-3*d**2*(d - 1)*(7*d + 2)
Let x = -308 + 314. Let n(h) be the third derivative of 0*h + 2/15*h**5 - 1/3*h**4 - 4/105*h**7 + 0*h**3 + h**2 + 0 + 7/60*h**x - 1/56*h**8. Solve n(q) = 0.
-2, -1, 0, 2/3, 1
Let h(p) be the first derivative of 18/5*p + 14/15*p**3 - 3*p**2 - 5 - 1/10*p**4. Solve h(n) = 0.
1, 3
Let b = 2015 - 2010. Solve 49/3*y**3 + 4/3*y**b - 15*y**2 - 8*y**4 - 1 + 19/3*y = 0.
1/2, 1, 3
Factor -1/3*x**3 + 0 - 1600/3*x - 80/3*x**2.
-x*(x + 40)**2/3
Let f(d) = -9*d - 1. Let g be f(-1). Factor -g*m + m - 2*m**2 + m - 4.
-2*(m + 1)*(m + 2)
Let p = -8 + 4. Let l be (2 - 14)*2/p. Let -c**4 + 0*c**4 - l*c**3 + 5*c**3 = 0. Calculate c.
-1, 0
Let i = 2204/4235 - 102/847. Factor -i*s**3 - 12/5*s**2 - 12/5 - 22/5*s.
-2*(s + 1)*(s + 2)*(s + 3)/5
Let h(t) be the third derivative of -t**9/60480 - t**8/10080 - t**7/5040 - t**5/30 + 6*t**2. Let y(l) be the third derivative of h(l). Factor y(v).
-v*(v + 1)**2
Let c(w) be the first derivative of -w**4/18 + 14*w**3/9 - 49*w**2/3 + 686*w/9 + 111. Factor c(b).
-2*(b - 7)**3/9
Suppose -222*l - 70 = -236*l. Let d(s) be the second derivative of 0*s**2 - s + 0 - 1/18*s**3 - 1/18*s**4 - 1/60*s**l. Factor d(m).
-m*(m + 1)**2/3
Let o = 16663/91 + -1411/7. Let s = o + 733/39. Suppose 0*y**4 + s*y + 1/3*y**5 + 0 + 0*y**2 - 2/3*y**3 = 0. Calculate y.
-1, 0, 1
Let g(i) be the third derivative of 2*i**5/15 + 35*i**4/36 - i**3/3 - 9*i**2 - 5*i. Factor g(q).
2*(q + 3)*(12*q - 1)/3
Let x(d) be the first derivative of d**6/24 + 7*d**5/5 + 13*d**4/4 - d**3/6 - 53*d**2/8 - 13*d/2 + 144. Factor x(s).
(s - 1)*(s + 1)**3*(s + 26)/4
Suppose 3*j - 47 = -4*u, 7*j - 4*j - 52 = -5*u. Suppose q - 5*b + 2 = -5, -3*b = q - j. Solve -6*y**3 + 3*y**q - y**5 - 2*y**5 - 6*y**4 = 0.
-1, 0
Factor 1 + 33*c**2 - 4 + 57*c + 24 + 3*c**3 + 6.
3*(c + 1)**2*(c + 9)
Let x(v) be the third derivative of 0*v**5 + 0 + 0*v**3 + 1/24*v**6 + 3*v**2 + 0*v**7 + 0*v + 0*v**4 - 5/336*v**8. Solve x(y) = 0.
-1, 0, 1
Let b = -67 - -66. Let i(v) = -v**3 - v. Let n(t) = -3*t**4 - 8*t**3 - 9*t**2 - 2*t. Let q(o) = b*i(o) - n(o). Suppose q(f) = 0. Calculate f.
-1, 0
Let t(y) be the second derivative of -y**5/100 + y**4/5 - 11*y**3/30 - 293*y. Factor t(m).
-m*(m - 11)*(m - 1)/5
Let m(n) be the second derivative of -3*n**5/8 - 29*n**4/12 - 37*n**3/12 + 3*n**2/2 + 3*n - 1. Factor m(c).
-(c + 1)*(c + 3)*(15*c - 2)/2
Let z = -2051 - -2051. Determine f, given that -1/3*f**2 + z + 1/3*f**4 - 1/6*f + 1/6*f**3 = 0.
-1, -1/2, 0, 1
Let u = 330/133 + 41984/1197. Factor -u*i**2 + 104/9*i - 8/9.
-2*(13*i - 2)**2/9
Let o(x) be the third derivative of -x**6/120 - x**5 - 50*x**4 - 4000*x**3/3 - 6*x**2 + 6. Factor o(b).
-(b + 20)**3
Let h(g) be the first derivative of -g**6/90 + g**5/15 + g**4/2 + 4*g**3 - 13. Let q(d) be the third derivative of h(d). Determine l, given that q(l) = 0.
-1, 3
Let v(p) be the second derivative of p**4/36 + p**3/9 - 4*p**2 + 261*p. Let v(i) = 0. Calculate i.
-6, 4
Let f be (9*1)/((-6)/(-510)). Suppose 4*k - f = -k. Factor 4831*p**5 + k*p**2 + 2372*p**5 + 48*p - 5917*p**4 + 3528*p**3 - 825*p**2 - 2315*p**4.
3*p*(7*p - 2)**4
Factor -2/13*n**2 - 578/13 + 68/13*n.
-2*(n - 17)**2/13
Let b(i) be the first derivative of 5*i**4/12 + i**3/2 - i**2 + 6*i + 8. Let o(s) be the first derivative of b(s). Suppose o(p) = 0. What is p?
-1, 2/5
Suppose 3*t + 44 = -4*k, -3*k + 12 - 67 = 5*t. Let c = t + 12. Find q, given that -2*q**2 - 2*q**2 + 4*q**2 + 10*q**5 - 8*q**2 - 30*q**3 - c*q**4 + 8*q = 0.
-1, 0, 2/5, 2
Suppose 0 = 55*s - 34*s - 30*s. Factor s + 2/9*y**5 + 0*y**2 - 4/9*y**4 + 0*y**3 + 0*y.
2*y**4*(y - 2)/9
Let b(r) be the first derivative of -r**5/5 + r**4/4 + r**3 - 5*r**2/2 + 2*r - 79. Factor b(k).
-(k - 1)**3*(k + 2)
Suppose 4*v - 76 = -2*c, 0 = -3*v + v - 4*c + 26. Suppose 4*m = 5*n - 14 - v, -2*m - 22 = -4*n. Factor 6*w**4 - 2*w**4 - 2*w**2 - 2*w**2 + 3*w - 2*w**n - w**5.
-w*(w - 3)*(w - 1)**2*(w + 1)
Let n(h) be the third derivative of h**5/270 + 7*h**4/108 + 2*h**3/9 - 4*h**2 + 37*h. Find m such that n(m) = 0.
-6, -1
Factor -a**3 - 181*a - 681 - 70*a**2 + a**3 + 181 - 5*a**3 - 144*a.
-5*(a + 4)*(a + 5)**2
Let a be (1 + 15/(-6))/(162/(-24) - -6). Factor 27/5*d + 18/5*d**4 + 48/5*d**a + 42/5*d**3 + 6/5 + 3/5*d**5.
3*(d + 1)**4*(d + 2)/5
Let u(w) be the third derivative of -w**6/240 - 19*w**5/120 - 33*w**4/16 - 27*w**3/4 + 2*w**2 - 40*w. Factor u(c).
-(c + 1)*(c + 9)**2/2
Let g(k) = 2*k**2 - 14*k + 18. Let m(a) = a**2 - 11*a + 19. Let u(c) = -5*g(c) + 6*m(c). What is x in u(x) = 0?
-2, 3
Let s(y) be the first derivative of y**6/18 - 7*y**4/12 + 2*y**3/9 + 2*y**2 - 8*y/3 - 68. Let s(m) = 0. Calculate m.
-2, 1, 2
Let c(n) be the second derivative of -3*n**5/20 - 9*n**4/4 + 6*n**3 + 30*n**2 + 353*n. Solve c(q) = 0.
-10, -1, 2
Find a, given that -3*a**4 - 363 + 135*a**3 - 6339/4*a**2 + 1485*a = 0.
1/2, 22
Let w(b) = -7*b**3 - b**2 + 4*b - 4. Let j(l) = 1 - l + 0*l + l**2 + l**3 + 0*l**3. Let k = 136 + -135. Let x(z) = k*w(z) + 4*j(z). Factor x(u).
-3*u**2*(u - 1)
Let q(a) = a**2 + 1. Let y(u) = -65*u**2 - 48*u - 10. Suppose 5*g - 7 = -2*v + 1, -5*v = -2*g + 9. Let r(m) = v*y(m) - q(m). Find d, given that r(d) 