*3 + 4*y**3 - 5*y**x - y**4.
-y**2*(y - 1)*(y + 1)
Let r(d) be the first derivative of d**4/2 + 5*d**3/3 + d**2/2 - 2*d - 522. Factor r(l).
(l + 1)*(l + 2)*(2*l - 1)
Factor 136/3*f - 142/9*f**2 + 4/3*f**3 + 8.
2*(f - 6)**2*(6*f + 1)/9
Factor -1/3*a**2 - 768 - 32*a.
-(a + 48)**2/3
Let r(f) be the first derivative of f**8/7560 + f**7/630 + f**6/180 + f**3 + 2. Let y(a) be the third derivative of r(a). Let y(q) = 0. What is q?
-3, 0
Let a(k) be the third derivative of 1/42*k**7 - 1/36*k**5 - 16*k**2 + 0*k + 0*k**3 + 0 - 5/36*k**4 + 1/18*k**6. Find j such that a(j) = 0.
-1, 0, 2/3
Let p(w) be the first derivative of w**4/10 + 238*w**3/5 + 42483*w**2/5 + 3370318*w/5 + 310. Suppose p(u) = 0. Calculate u.
-119
Let u(d) = -d**2 + 1. Let f(h) = -h**2 + 22*h - 57. Let q(b) = 2*f(b) + 2*u(b). What is z in q(z) = 0?
4, 7
Suppose -2*c + 3*p = -0*c - 1, 0 = 2*c + 4*p - 8. Factor r - 328*r**2 - 5*r**3 + 20 + 308*r**c + 4*r.
-5*(r - 1)*(r + 1)*(r + 4)
Factor 38*q**2 + 2*q**4 + 308*q**3 + 42*q**2 - 330*q**3 - 161*q + 65*q.
2*q*(q - 4)**2*(q - 3)
Let u(p) be the third derivative of p**5/15 - p**4/6 - 4*p**3/3 - 18*p**2. Determine i so that u(i) = 0.
-1, 2
Suppose -1 = -5*d + 9. What is g in 16*g + g**d + 9*g + 9 - 19*g = 0?
-3
Let q(n) be the second derivative of n**6/10 + 3*n**5/20 - 5*n**4/4 + 3*n**3/2 - 204*n. Factor q(b).
3*b*(b - 1)**2*(b + 3)
Let r be 26/(-507) - 508/(-780). Determine l, given that r*l**2 - 1 - 14/5*l = 0.
-1/3, 5
Let i(m) be the third derivative of -m**5/80 + 71*m**4/16 - 5041*m**3/8 - 5*m**2 + 31*m. Factor i(q).
-3*(q - 71)**2/4
Let n be 29/9 + -1*2/9. Factor 0 + 2/3*k**n + 8/3*k**5 + 0*k**2 + 0*k + 10/3*k**4.
2*k**3*(k + 1)*(4*k + 1)/3
Let c be (-10)/(-63)*(-54)/(-90). Let j(r) be the second derivative of -1/21*r**6 + 0 - c*r**3 - 1/5*r**5 - 2/7*r**4 + 5*r + 1/7*r**2. Factor j(f).
-2*(f + 1)**3*(5*f - 1)/7
Let v = 6110/1149 + 6/383. What is k in 0 + 3*k**3 - 8*k**2 - 1/3*k**4 + v*k = 0?
0, 1, 4
Let l be 1/(-2) - (-16)/30. Let p(q) be the first derivative of -1/12*q**2 - l*q**5 + 0*q - 1/8*q**4 + 6 - 1/6*q**3. Factor p(o).
-o*(o + 1)**3/6
Let z(v) = 10*v**2 - 9*v + 3. Let a(w) = w**2. Let l be (-24)/(-30)*5/1. Let u(o) = l*a(o) - z(o). Factor u(p).
-3*(p - 1)*(2*p - 1)
Suppose -5*d + p + 16 = 0, 11*d + p - 24 = 6*d. What is a in -6*a**2 + 8*a**d + 17*a**3 - 15*a**3 + a - 10*a**3 + 7*a - 2 = 0?
-1, 1/2, 1
Let r be 24/(-5)*(4 - 160/15). Let u = 36 - r. Suppose 18*q**5 + 36*q**3 + 42*q**u + 26/9*q + 44/3*q**2 + 2/9 = 0. What is q?
-1, -1/3
Let o be 2 + (-2 - (-4 - (-2 - -2))). Let f be o/(-136)*(2/(-1) - 2). Determine k, given that 0*k + 4/17*k**2 - 2/17*k**5 - 4/17*k**4 + 0 + f*k**3 = 0.
-2, -1, 0, 1
Let r(q) = q - 65. Let j be r(30). Let b be (-10)/j + 88/84. Factor -4/3*l**2 - 2*l**3 + b + 2*l.
-2*(l - 1)*(l + 1)*(3*l + 2)/3
Let t(p) be the first derivative of 4*p**3/27 + 11*p**2/3 - 34*p/9 - 430. Factor t(w).
2*(w + 17)*(2*w - 1)/9
Let a be (-33)/22*16/(-324). Let c(o) be the first derivative of 4/9*o + 1/9*o**2 - 5 - a*o**3. Solve c(p) = 0.
-1, 2
Determine w so that -3/4*w + 5/2 - 1/4*w**2 = 0.
-5, 2
Let -10*t**2 + 625*t**3 - 630*t**3 + 480 - 19*t + 146*t + 33*t = 0. Calculate t.
-4, 6
Let f(t) be the third derivative of -t**5/4 - 5*t**4/12 - 2*t**2 + 15. Find m such that f(m) = 0.
-2/3, 0
Let d = -6/403 - -445/2821. Factor 0 + 2/7*s**2 - 2/7*s**4 - d*s**5 + 0*s**3 + 1/7*s.
-s*(s - 1)*(s + 1)**3/7
Let w(l) be the first derivative of -1/20*l**4 - 1/150*l**5 + 5/2*l**2 + 7 + 0*l**3 + 0*l. Let x(o) be the second derivative of w(o). Factor x(z).
-2*z*(z + 3)/5
Let d(q) = 4*q**2 - 13*q - 12. Let j be d(6). Let y be ((-24)/j)/(4/(-48)). What is s in y*s - 32/3 - 2/3*s**2 = 0?
4
Let -1/7*h**2 + 22*h - 847 = 0. Calculate h.
77
Let m = 11316/7 - 1614. Factor m + 12/7*y + 2/7*y**2.
2*(y + 3)**2/7
Let p be ((-12)/(-30))/(34/165 - (-122)/2013). Suppose -p*j**3 - 4 + j**2 + 6*j = 0. What is j?
-2, 2/3, 2
Factor 8*v - 2*v**4 - 1465*v**3 + 1463*v**3 + v**2 + 7*v**2.
-2*v*(v - 2)*(v + 1)*(v + 2)
Let q(x) be the second derivative of -3*x**7/35 + 9*x**6/25 + 39*x**5/25 + 17*x**4/9 + 49*x**3/45 + x**2/3 + 103*x. Find v such that q(v) = 0.
-1, -1/3, 5
Let f be (2 + (-12)/8)*-6. Let h be 0/f + -2 + 10/3. Factor -2*j + h + 2/3*j**2.
2*(j - 2)*(j - 1)/3
Let n(b) be the third derivative of -9/16*b**3 - 1/160*b**5 - 12*b**2 + 0*b + 0 - 3/32*b**4. Find h, given that n(h) = 0.
-3
Let b(l) be the first derivative of l**4/8 + 3*l**3/2 + 2*l**2 - 19. What is q in b(q) = 0?
-8, -1, 0
Let b(c) = 255*c + 1534. Let p be b(-6). Determine w, given that 8/5*w**2 + 0*w + 2/5*w**5 + 16/5*w**3 + 0 + 2*w**p = 0.
-2, -1, 0
Suppose 18*x - 445 + 409 = 0. Solve 3/7*i**x + 3 - 24/7*i = 0.
1, 7
Let k(d) = -d - 11. Let p be k(-14). Suppose -9*w + p - 3 + 6*w**2 - 3*w**2 = 0. Calculate w.
0, 3
Let h(j) be the first derivative of 2*j**3/3 - 68*j**2 + 2312*j + 66. Solve h(y) = 0.
34
Let u be (-242)/(-198)*(-54)/(-12). Factor 0*p + u*p**3 - p**2 + 0.
p**2*(11*p - 2)/2
Let q(t) = -2*t - 7. Let h be q(-7). Suppose -u - u + 32 = 2*m, 0 = 4*u - m - 74. Factor -u - h*f**2 + 7*f**2 - 2*f**2 - 12*f.
-2*(f + 3)**2
Let p(w) be the first derivative of w**7/840 - w**5/40 + w**4/12 + 5*w**3/3 - 22. Let v(b) be the third derivative of p(b). Factor v(m).
(m - 1)**2*(m + 2)
Let r(t) be the second derivative of t**5/20 - t**4/4 - 5*t**3/3 - 27*t. Let i be r(5). Factor 0*y + i - 1/2*y**2.
-y**2/2
Let r be (-170)/(-136) + 0 + (-9)/12. Solve -1/2 + r*m**3 + 3/2*m - 3/2*m**2 = 0 for m.
1
Let m(l) = l**2 - l - 3. Let x be m(3). Factor 8*b**2 + 2*b**x - 3*b - 5*b**3 + 2*b**3 - 4*b**2.
-b*(b - 3)*(b - 1)
Let x(o) be the first derivative of -15 - 1/4*o**3 + 1/4*o + 1/4*o**2. Let x(r) = 0. Calculate r.
-1/3, 1
Let v(q) be the second derivative of -q**7/21 + q**6/15 + q**5/10 - q**4/6 - 171*q - 1. Factor v(s).
-2*s**2*(s - 1)**2*(s + 1)
Let k(i) be the first derivative of 5*i**3/3 - 37*i**2/6 + 22*i/3 + 520. Let k(y) = 0. Calculate y.
1, 22/15
Let r(i) = 115*i + 693. Let h be r(-6). Factor 3/2*z**2 + 9/2*z**4 - 9/2*z**h + 0 - 3/2*z**5 + 0*z.
-3*z**2*(z - 1)**3/2
Let v(q) = -q**2 - 35*q + 40. Let i(w) = -20*w**2 - 770*w + 880. Let o(b) = -2*i(b) + 45*v(b). Factor o(d).
-5*(d - 1)*(d + 8)
Let j be (1/(-2) - -2)/(6/20). Suppose 2*x + 8 = 0, 8*b - 13*b + j*x = -35. Factor -2/7*i**2 + 0 + 2/7*i**5 - 2/7*i**b + 0*i + 2/7*i**4.
2*i**2*(i - 1)*(i + 1)**2/7
Let t(i) be the first derivative of -3*i**5/10 + 2*i**3 - 38. Solve t(w) = 0.
-2, 0, 2
Suppose 0*n + 2*n + 22 = 0. Let l = n - -17. Find s such that 3/2*s**2 + 0 + l*s**3 + 0*s - 6*s**5 - 3/2*s**4 = 0.
-1, -1/4, 0, 1
Let t be ((-12)/(-9))/2*6. Suppose -3*v + t*v = 2. Solve 36*l**2 + 25*l**v - 10*l - 25*l**3 + 19*l**2 - 10*l - 35*l**4 = 0 for l.
-2, 0, 2/7, 1
Suppose -8*n + 4 = -6*n. Let l(b) = -2*b**3 - 3*b**2. Let m be l(-2). Factor 5*c + 2*c**3 + 3*c**2 - m*c**3 + c**n - 7*c.
-2*c*(c - 1)**2
Let v(n) be the third derivative of -n**5/150 + 86*n**4/15 - 29584*n**3/15 - 21*n**2 - 2*n. Factor v(y).
-2*(y - 172)**2/5
Let f(h) = -h**2 + 7*h - 1. Let a(m) = -432*m + 417. Let p(q) = a(q) + 3*f(q). Factor p(g).
-3*(g - 1)*(g + 138)
Factor 17*w**3 - 2*w**3 + 3*w**3 + 5*w**3 - 7*w**3 + 4*w**5 - 20*w**4.
4*w**3*(w - 4)*(w - 1)
Let s(c) be the first derivative of c**6/360 + c**5/120 - 14*c**3/3 - 11. Let w(x) be the third derivative of s(x). Factor w(n).
n*(n + 1)
Factor 2/5*u**5 - 34/5*u - 12/5 + 8/5*u**4 - 28/5*u**2 + 0*u**3.
2*(u - 2)*(u + 1)**3*(u + 3)/5
Let q(n) be the first derivative of 0*n**2 - 34 + 0*n**4 - 8/21*n**3 + 6/35*n**5 + 1/21*n**6 + 0*n. Factor q(v).
2*v**2*(v - 1)*(v + 2)**2/7
Let o(k) be the first derivative of -k**5/12 - 5*k**4/6 - 10*k**3/3 - 17*k**2/2 - 9. Let z(m) be the second derivative of o(m). Factor z(q).
-5*(q + 2)**2
Find l, given that 0*l**4 + 36*l**2 + 15*l**3 - 19*l**4 + 12*l + 10*l**4 - 6*l**5 + 6*l**3 = 0.
-2, -1, -1/2, 0, 2
Let z be 11/3 + (-1)/(-3) + -2. Determine j so that -34*j**3 - 30*j**3 + 4*j**z + 54*j**3 = 0.
0, 2/5
Suppose -5*y = 5*b - 130, y + 2*y = -2*b + 80. Let q = y + -25. Factor z**3 - 4*z**q + 3*z**2 + 0*z**2 + 6*z.
-3*z*(z - 2)*(z + 1)
Let k(l) be the third derivative of l**6/660 + 4*l**5/165 + 3*l**4/44 - 6*l**3/11 - 14*l**2 - 7*l. Factor k(r).
2*(r - 1)*(r + 3)*(r + 6)/11
Suppose -c + 43 = -2*f, 0 = -0*c - 3*c - f + 