4 - 20*b**3 - 10*b**2 + 2*b**4 - 10 - 5*b**5 + 5*b**4.
-5*(b - 2)*(b - 1)**3*(b + 1)
Let c(b) be the second derivative of b**4/12 - 41*b**3/15 + 3*b - 22. Factor c(y).
y*(5*y - 82)/5
Let s = 64 + -42. Factor -26*i**2 + s*i**2 + 5*i - 4*i.
-i*(4*i - 1)
Find n such that -1072*n**2 + 4 - 4 - 65*n + 1067*n**2 = 0.
-13, 0
Suppose -339*r = -329*r + 9 - 49. Factor 0 + 12/5*q**3 + 11/5*q**2 - q**r - 6/5*q.
-q*(q - 3)*(q + 1)*(5*q - 2)/5
Let c(l) be the first derivative of -l**7/14 + l**6/10 + 3*l - 21. Let o(b) be the first derivative of c(b). Factor o(a).
-3*a**4*(a - 1)
Let n(c) be the first derivative of c**8/1344 - c**7/210 + c**6/96 - c**5/120 + 9*c**2/2 + 24. Let k(o) be the second derivative of n(o). Solve k(y) = 0.
0, 1, 2
Let p(l) be the second derivative of l**5/30 + 11*l**4/18 + 19*l**3/9 + 3*l**2 - l + 2. Find o such that p(o) = 0.
-9, -1
Suppose 3*b**2 + b + 5*b - 2*b - 3*b**2 + 4*b**2 = 0. Calculate b.
-1, 0
Let x(p) be the first derivative of -1/9*p**3 - 12 - 1/6*p**4 + 1/30*p**5 + 3/2*p + p**2. Let x(b) = 0. Calculate b.
-1, 3
Let h(r) be the third derivative of -r**6/30 + 32*r**5/15 - 61*r**4/6 + 20*r**3 - 202*r**2. What is i in h(i) = 0?
1, 30
Factor -3191*r + 18 + 3*r**2 - 2*r**2 + 3202*r.
(r + 2)*(r + 9)
Let v = 23 + -17. Suppose 7*z = 8 + v. Find a, given that -49*a**3 + 48*a**3 - a + z*a = 0.
-1, 0, 1
Let j be (35/49)/(22/154). Suppose -5/2*p**3 - 5 + 5/2*p + j*p**2 = 0. Calculate p.
-1, 1, 2
Let u(s) be the first derivative of s**5/10 + 5*s**4/8 - 4*s**3 + s**2 + 16*s + 7. Factor u(y).
(y - 2)**2*(y + 1)*(y + 8)/2
Let x = -40 + 46. Let h be (-4)/(-18 + (2 - (4 - x))). Factor 2/7*s - 2/7 + 2/7*s**2 - h*s**3.
-2*(s - 1)**2*(s + 1)/7
Let y(s) be the third derivative of 17*s**2 - 1/30*s**5 + 1/6*s**4 + 0*s - 1/60*s**6 + 0 + 0*s**3. Suppose y(u) = 0. Calculate u.
-2, 0, 1
Let k(w) be the second derivative of 2/45*w**6 + 0*w**4 + 2/45*w**5 + 0 + 0*w**2 + 0*w**3 - 4/189*w**7 + 11*w. Suppose k(f) = 0. What is f?
-1/2, 0, 2
Let q(l) be the first derivative of -13 - 8/13*l + 0*l**2 + 2/39*l**3. Factor q(k).
2*(k - 2)*(k + 2)/13
Let u be (9 + -3)*(-2 + 10/4). Find v, given that 20 - 20*v**u - 6*v**2 + 27*v - 7*v - 9*v**2 - 5*v**4 + 0*v**4 = 0.
-2, -1, 1
Let a(g) be the first derivative of g**5/10 - 3*g**4/8 - 2*g**3/3 + 29. Factor a(y).
y**2*(y - 4)*(y + 1)/2
Suppose -529*g = -533*g + 8. Solve 1 + 7/4*s**3 - 9/4*s**g - 3*s = 0 for s.
-1, 2/7, 2
Let s(u) be the second derivative of u**7/378 - 4*u**6/135 + u**5/30 + 2*u**4/27 - 7*u**3/54 - 613*u. Find o, given that s(o) = 0.
-1, 0, 1, 7
Let r(c) = -10*c**4 + 26*c**3 + 11*c**2 + 6*c. Let o(y) = -2*y**4 + 5*y**3 + 2*y**2 + y. Let v(u) = 22*o(u) - 4*r(u). Factor v(b).
-2*b*(b - 1)**2*(2*b + 1)
Let i(y) = -y**2 + 8*y - 4. Let g be i(7). Let w be (-5 - -2)*10/(-135)*6. Factor w*v + 2/3*v**2 - 2/3*v**g + 0.
-2*v*(v - 2)*(v + 1)/3
Factor -69/4*a**3 - 3/4*a**5 + 0*a + 0 + 33/4*a**2 + 39/4*a**4.
-3*a**2*(a - 11)*(a - 1)**2/4
Let u(h) = h**3 + 8*h**2 + 8*h + 4. Let m be u(-7). Let k be (m/27*3*0)/(-1). What is f in -2/3*f - 1/3*f**2 + k = 0?
-2, 0
Suppose 34*p = 24 - 24. Let v(r) be the third derivative of 1/48*r**4 + p + 7*r**2 + 0*r**3 + 0*r - 1/240*r**5. Factor v(d).
-d*(d - 2)/4
Let v(k) be the second derivative of 5*k**4/6 + 41*k**3 - 50*k**2 - 65*k - 2. Solve v(g) = 0.
-25, 2/5
Let z be 1/(-2 - -3)*1. Let r = 4 - z. Factor -3*c**3 + 0*c**3 + c**r.
-2*c**3
Let n(q) be the third derivative of 5*q**8/168 - 6*q**7/35 + 17*q**6/60 - q**4/3 + 2*q**2 - 16*q. Let n(p) = 0. What is p?
-2/5, 0, 1, 2
Let b(s) be the third derivative of 0*s - 1/24*s**3 + 12*s**2 + 0 + 1/120*s**6 - 1/160*s**5 - 7/192*s**4 + 1/420*s**7. Factor b(y).
(y - 1)*(y + 2)*(2*y + 1)**2/8
Let a(v) be the first derivative of v - 18 + 1/12*v**3 - 5/8*v**2. Suppose a(o) = 0. What is o?
1, 4
Let c(o) be the first derivative of 21*o**6/11 - 636*o**5/55 + 113*o**4/11 + 856*o**3/33 + 159*o**2/11 + 36*o/11 + 70. Let c(w) = 0. Calculate w.
-1/3, -2/7, 3
Let m be 2880/204 - 2/17. Suppose -140*r + 133*r = -m. Let 0 + 8*x**r + 15*x**3 + 4/3*x + 25/3*x**4 = 0. What is x?
-1, -2/5, 0
Let x be (-161)/(-138) + (3 - 4). Let f(y) be the second derivative of x*y**3 - 3/4*y**2 + 0 + 9*y + 1/24*y**4. What is q in f(q) = 0?
-3, 1
Let n(l) = -l**3 + 18*l**2 + 21. Let x be n(18). Let r = 23 - x. Determine c so that 22/3*c**r + 4/3 + 26/3*c = 0.
-1, -2/11
Let q(n) = 11*n**2 - 232*n + 25. Let j be q(21). Let h(l) be the second derivative of 0*l**2 + 10*l + 5/12*l**j + 0 + 3/2*l**6 - 3/2*l**5 + 0*l**3. Factor h(g).
5*g**2*(3*g - 1)**2
Let v(d) be the second derivative of d**6/6 + d**5 + 5*d**4/2 + 10*d**3/3 + 5*d**2/2 + 68*d. Factor v(m).
5*(m + 1)**4
Factor -8/5*j**2 + 0 - 8/15*j - 2/3*j**3.
-2*j*(j + 2)*(5*j + 2)/15
Let d(s) = -8*s**2 - 3*s + 20. Let q(k) = 2*k**2 + k - 5. Let p(v) = 2*d(v) + 9*q(v). Let m(w) = -w**2 + 1. Let x(j) = -m(j) + p(j). Find b such that x(b) = 0.
-2, 1
Let l = 26754 - 26752. Factor 0 - 6/7*m**3 - 16/7*m + 4*m**l.
-2*m*(m - 4)*(3*m - 2)/7
Let r be ((-3)/14)/(13/52*-3). Factor 2/7*n**2 - r*n - 4/7.
2*(n - 2)*(n + 1)/7
Factor 12*p**2 + 4*p**4 + 0*p**4 + 20*p + 33 - 49 - 20*p**3.
4*(p - 4)*(p - 1)**2*(p + 1)
Suppose -81*q + 69 + 93 = 0. Factor 32/11*z - 2/11*z**q - 128/11.
-2*(z - 8)**2/11
Factor 0 + 0*r**2 - 1/3*r**3 + 4/9*r + 1/9*r**4.
r*(r - 2)**2*(r + 1)/9
Let w(y) be the second derivative of 23*y + 0 + 5/42*y**7 + 0*y**3 - 3/4*y**5 + 5/6*y**4 + 0*y**6 + 0*y**2. Factor w(c).
5*c**2*(c - 1)**2*(c + 2)
Let m = -61 + 67. Let u be m + -2 + 1 - 2. Factor 0*h**2 - 3/5*h**4 + 9/5*h**5 + 0*h**u + 0 + 0*h.
3*h**4*(3*h - 1)/5
Let h = -1131543/5 - -225520. Let t = h - -794. Let -99/5*b - 27/5 - 138/5*b**2 - t*b**4 - 3/5*b**5 - 18*b**3 = 0. What is b?
-3, -1
Let z(j) be the second derivative of -j**4/66 - 302*j**3/33 - 22801*j**2/11 + 4*j + 5. What is w in z(w) = 0?
-151
Suppose 2/15*q**4 - 2/15*q**3 + 0*q + 0 - 4/5*q**2 = 0. What is q?
-2, 0, 3
Let d = -24340 + 24342. Factor -1/6*y**d + 0 - 1/6*y + 1/6*y**3 + 1/6*y**4.
y*(y - 1)*(y + 1)**2/6
Let g(p) be the second derivative of -2*p**7/21 + 4*p**6/5 - 7*p**5/5 - 6*p**4 + 88*p**3/3 - 48*p**2 - 12*p. Let g(i) = 0. What is i?
-2, 1, 2, 3
Let t(y) be the third derivative of 2/195*y**5 + 0*y + 1/780*y**6 + 13*y**2 + 0*y**3 + 1/39*y**4 + 0. Let t(b) = 0. What is b?
-2, 0
Suppose 8*a = 5*a + 54. Solve -14*f**3 - 10 - 4*f + a*f**2 - 9 + 19 = 0.
0, 2/7, 1
Determine g, given that 62*g**2 + 27*g**5 + 21*g**4 - 36*g**4 + 24*g**4 - 6*g - 69*g**3 - 23*g**2 = 0.
-2, 0, 1/3, 1
Let z = 7 - 6. Suppose -7 = -5*o + 13. What is q in -5 + 45*q**3 + o - 65*q**4 + z - 10*q + 25*q**5 + 5*q**2 = 0?
-2/5, 0, 1
Let s(c) be the first derivative of 3*c**5/4 - c**4/4 - c**3/2 + 13*c**2/2 + 10. Let t(w) be the second derivative of s(w). Find q, given that t(q) = 0.
-1/5, 1/3
Let b = -87343/15 - -5823. Solve b*p**2 + 0 - 8/15*p**3 + 0*p + 2/3*p**4 - 4/15*p**5 = 0 for p.
0, 1/2, 1
What is s in 2 + 736*s - 2*s**2 - 736*s = 0?
-1, 1
Let w(y) be the third derivative of -y**6/660 + y**5/33 - y**4/11 - 24*y**3/11 + 14*y**2. Determine f, given that w(f) = 0.
-2, 6
Let w = 47 - 45. Find o, given that 4*o**w - 343*o - 4 + 371*o + 4 = 0.
-7, 0
Let a = -5 + 28. Factor 8*d - 4 - a*d**3 + 8*d**2 + d**2 + 10*d**2 + 6*d**4.
(d - 2)**2*(2*d + 1)*(3*d - 1)
What is p in 176/7*p**3 - 348/7*p**2 + 24*p + 4/7 = 0?
-1/44, 1
Let r be (-4)/8 - 204/(-168). Factor -8/7*m + r*m**2 + 4/7 - 1/7*m**3.
-(m - 2)**2*(m - 1)/7
Let n be -10 + 19 - (-14)/(-2). Let y(r) be the first derivative of 6 + 1/3*r + 1/18*r**3 - 1/4*r**n. Let y(q) = 0. Calculate q.
1, 2
Suppose 0 = -5*r + 6*r - 11. Let -r + 18*l - 6*l**2 - 2*l**3 - 2 + 3 = 0. Calculate l.
-5, 1
Suppose 0 = -4*q - 2*x - 12, -16 = 3*q - x + 3. Let f be 12/5 + 2/q. Factor 4 + 8*v**2 - 2 - v - v**5 + 0*v**4 + f*v**3 + 2*v**4 - 12*v**2.
-(v - 2)*(v - 1)**2*(v + 1)**2
Let v = 939/3262 + -1/466. Let t be (-4)/70*(-2 - 8). Factor -v*j**3 - t + 2/7*j + 4/7*j**2.
-2*(j - 2)*(j - 1)*(j + 1)/7
Suppose -3 = 6*y - 15. Factor 9*d**y - d**3 + 3*d**5 + 3*d**4 - 5*d**4 - 9*d**2.
d**3*(d - 1)*(3*d + 1)
Let o(c) be the first derivative of 0*c**2 + 1/10*c**6 + 0*c**5 - 2/5*c**3 + 0*c - 16 - 9/20*c**4. Determine n, given that o(n) = 0.
-1, 0, 2
Let j(w) be the third derivative of w**9/7560 - w**8/672 + w**7/210 - 4*w**4/