.
-3, -1, 0, 1, 2
Let d(m) be the first derivative of m**5/5 - 5*m**4/2 + 16*m**3/3 + 334. Factor d(k).
k**2*(k - 8)*(k - 2)
Suppose -w - 8 - 1 = -11. Solve -15/7 - 6*f + 3/7*f**4 - 6/7*f**3 - 36/7*f**w = 0.
-1, 5
Let l(c) = 5*c**2 + 16*c + 40. Let v(d) = 6*d**2 + 17*d + 41. Let a(y) = -5*l(y) + 4*v(y). Factor a(j).
-(j + 6)**2
Let c(s) be the second derivative of -s**5/90 + 7*s**4/54 + 17*s**3/27 + s**2 - 80*s. Solve c(b) = 0 for b.
-1, 9
Let y(k) be the second derivative of 0 + 1/7*k**2 + 1/35*k**5 + 36*k - 2/21*k**3 + 0*k**4 - 1/105*k**6. Let y(b) = 0. Calculate b.
-1, 1
Let d(f) be the first derivative of f**7/7980 - f**6/1710 - f**5/380 + 8*f**3 + 26. Let h(w) be the third derivative of d(w). Factor h(u).
2*u*(u - 3)*(u + 1)/19
Factor 2*v**2 + 2/3*v**3 - 2/3*v - 2.
2*(v - 1)*(v + 1)*(v + 3)/3
Let m(f) = 1 + 1 + 2 + 2 + f. Let y be m(6). Factor y*v - 1 + 3 - 3*v**2 - 14.
-3*(v - 2)**2
Let b(m) be the second derivative of m**3 - 15*m**2/2 + 27*m. Let j be b(3). Solve g**2 - 1/3*g**j + 1/3*g - 1 = 0.
-1, 1, 3
Let u(m) = -m**2 + 9*m - 10. Suppose -h = h - 14. Let b be u(h). Solve p**3 - b*p**3 - p**2 - 2*p**2 + 0*p**2 = 0 for p.
-1, 0
Let j = 1/99 - -109/99. Let a = -11/18 + j. Let a*k**2 + 1 + 3/2*k = 0. Calculate k.
-2, -1
Suppose 0 = 3186*z - 3165*z - 84. Let 0*i**2 - 4*i**3 + 16/3*i + 0 - 4/3*i**z = 0. What is i?
-2, 0, 1
Let c(w) be the second derivative of 5*w**7/42 - w**6/3 - w**5/4 + 5*w**4/6 + 12*w + 11. Factor c(a).
5*a**2*(a - 2)*(a - 1)*(a + 1)
Let q(f) be the second derivative of -f**7/315 - f**6/180 - 4*f**2 + 14*f. Let o(u) be the first derivative of q(u). What is h in o(h) = 0?
-1, 0
Let s(x) be the third derivative of -x**7/420 - x**6/48 + 7*x**5/120 + 5*x**4/48 - x**3/2 + x**2 - 441. What is p in s(p) = 0?
-6, -1, 1
Let h(t) be the third derivative of -243*t**7/14 + 1539*t**6/8 + 549*t**5/2 + 935*t**4/6 + 140*t**3/3 - t**2 + 55*t. Factor h(y).
-5*(y - 7)*(9*y + 2)**3
Let g be (-9)/(162/(-45))*(-3 - (-95)/25). Find b, given that 8/7*b**3 + 20/7*b**g + 16/7*b + 4/7 = 0.
-1, -1/2
Let w(o) = o**2 - 10*o + 4. Let b be w(9). Let d = 6 + b. Suppose 2*x + 0 + d + 0 + 4*x**2 - 2*x**3 - 5 = 0. Calculate x.
-1, 1, 2
Let t(l) be the first derivative of -14*l**5/65 + 15*l**4/13 + 18*l**3/13 - 10*l**2/13 + 176. What is c in t(c) = 0?
-1, 0, 2/7, 5
Let z(n) be the third derivative of 1/3*n**4 - 1/15*n**5 - 4*n**2 + 0*n + 0 + 2*n**3. Factor z(d).
-4*(d - 3)*(d + 1)
Let a = 135 - 169. Let y be 9/(81/a) + 4. Factor -y*j**5 + 0*j**3 + 0*j + 0 + 0*j**4 + 0*j**2.
-2*j**5/9
Determine g so that 2/5*g**3 + 2/5*g**4 - 2/5*g - 6/5*g**2 + 4/5 = 0.
-2, -1, 1
Factor 1211 + 3849*i + 7*i**4 + 1432*i**2 - 3*i**4 - 228*i**3 - 489*i + 68*i**3 + 553.
4*(i - 21)**2*(i + 1)**2
Let a = 1348 - 1345. Factor -2*c + a*c**2 + 1/2*c**4 + 1/2 - 2*c**3.
(c - 1)**4/2
Let r(l) be the first derivative of l**3 + 15*l**2/2 + 18*l - 470. Factor r(b).
3*(b + 2)*(b + 3)
Let p(h) = -4*h**2 + 22*h + 6. Let c(a) = -a**2 + 7*a + 2. Let k be ((12/9)/4)/(2/60). Let u(i) = k*c(i) - 3*p(i). Determine b so that u(b) = 0.
-1
Let n(c) = -5*c**2 + 826*c + 823. Let y(s) = 110*s**2 - 18175*s - 18105. Let d(q) = -45*n(q) - 2*y(q). Factor d(w).
5*(w - 165)*(w + 1)
Let k(t) be the second derivative of -15*t - 16*t**2 - 116/3*t**3 - 49/10*t**5 + 0 - 112/3*t**4. Solve k(u) = 0 for u.
-4, -2/7
Let o be (2 - (-15)/(-6))/(89/(-356)). Let l(k) be the first derivative of -2/7*k**o + 4/21*k**3 + 5 + 0*k. Suppose l(n) = 0. What is n?
0, 1
Let q(d) be the third derivative of 2*d**7/945 + d**6/30 - 7*d**5/45 + 11*d**4/54 + 78*d**2. What is c in q(c) = 0?
-11, 0, 1
Let c be 4/(-7) - 5706/(-2219). Suppose 25 + 5*x + 1/4*x**c = 0. Calculate x.
-10
Let o(z) = z**3 - 2*z**2 - 2. Let l(g) = -5*g**4 - 15*g**3 + 75*g**2 - 30*g + 50. Let r(i) = l(i) + 25*o(i). Factor r(h).
-5*h*(h - 3)*(h - 1)*(h + 2)
Let q(o) be the second derivative of -o**7/1120 + o**6/480 + o**3 - 5*o. Let v(m) be the second derivative of q(m). Suppose v(a) = 0. Calculate a.
0, 1
Let x(k) = 16*k + 5. Let g be x(0). Let n(r) = -r**2 + r + 2. Let s be n(0). Find t, given that -t**g + t + 0*t + 5*t**s - 2*t**4 - 7*t**2 + 4*t**4 = 0.
-1, 0, 1
Let f be 61 + -66 - -1*(-124)/(-20). Factor 1/5*a + f - 1/5*a**2.
-(a - 3)*(a + 2)/5
Suppose -4 = 4*v - 4*p, 5*p - 4 = -2*v + p. Let l(w) be the second derivative of -6*w**2 + 2*w**3 - 11*w - 1/4*w**4 + v. Factor l(i).
-3*(i - 2)**2
Let a(y) = -y**2 - y - 1. Let c(z) be the first derivative of z**3 + z**2/2 + 5*z + 7. Let k(s) = 5*a(s) + c(s). Let k(p) = 0. Calculate p.
-2, 0
Let 7072*d + 114*d**2 - 7036*d + 100*d**3 + 34*d**4 + 4*d**5 + 0 + 0 = 0. Calculate d.
-3, -2, -1/2, 0
Let l(h) be the second derivative of h**4/30 - 7*h**3/15 + 2*h**2 + 46*h. Factor l(n).
2*(n - 5)*(n - 2)/5
Let 12*n**2 + 63*n**2 - 95*n**3 + 3 - 3 - 15*n**4 + 35*n = 0. What is n?
-7, -1/3, 0, 1
Find f such that -26088 - 188*f**2 + 3*f**3 + 11025*f - 23285 - 127*f**2 - 79252 = 0.
35
Let h = 15313 - 45931/3. Solve 0 + 1/3*l**5 + 20/3*l**2 + 7/3*l**4 + h*l + 6*l**3 = 0.
-2, -1, 0
Let i(d) be the first derivative of -d**6/90 + d**4/18 - d**2/6 + 2*d + 32. Let o(b) be the first derivative of i(b). Let o(g) = 0. What is g?
-1, 1
Let g be (-6)/((-990)/3157) + -19. Suppose -g*a**2 + 0*a + 8/15 = 0. What is a?
-2, 2
Let y be (-32)/(-112) - (-66)/14. Determine u so that 4*u**2 - 15*u + 3*u - y + 13 = 0.
1, 2
Factor 42*i**3 + 16*i**4 - 11*i - 188*i**2 - 67*i**3 - 33*i - 4*i - 151*i**3.
4*i*(i - 12)*(2*i + 1)**2
Let p(q) be the first derivative of 4/27*q**3 + 21 + 0*q + 1/3*q**2 - 1/18*q**4. Factor p(l).
-2*l*(l - 3)*(l + 1)/9
Let w = -4188 + 4190. Solve -1/3 + 7/6*r + 35/6*r**w + 13/3*r**3 = 0 for r.
-1, -1/2, 2/13
Let h = -1079/4 - -270. Let b(a) be the first derivative of -h*a**2 + 0*a + 5 + 1/12*a**3. Factor b(g).
g*(g - 2)/4
Let n(t) be the first derivative of -5*t**3/3 - 5*t**2/2 - 131. Factor n(j).
-5*j*(j + 1)
Suppose l = p, -2*p + 0*l + 3*l - 3 = 0. Let m(y) = -y**2 + 4*y + 7. Let d be m(5). Factor p*h**2 + 2*h - d*h.
3*h**2
Let c(n) be the first derivative of 2*n + n**3 + 0*n - n + 19 - 4*n. What is j in c(j) = 0?
-1, 1
Let g(v) be the third derivative of v**9/4536 + v**8/1680 - v**6/1080 + v**3 + 3*v**2. Let b(y) be the first derivative of g(y). Solve b(f) = 0.
-1, 0, 1/2
Factor -8/5 - 2*d - 2/5*d**2.
-2*(d + 1)*(d + 4)/5
Let x = -644 + 646. Let m(b) be the third derivative of 0*b**5 + 0 + 0*b**6 + 2/105*b**7 + 0*b**4 + 0*b**3 + 0*b - 1/84*b**8 + 7*b**x. Factor m(z).
-4*z**4*(z - 1)
Let a be (-46)/10 - (-18)/30. Let z(c) = c**3 - c**2 - c - 1. Let f(q) = -4. Let p(k) = a*z(k) + 2*f(k). Find g, given that p(g) = 0.
-1, 1
Factor 2/11*u**2 + 14/11*u**4 + 6/11*u**5 + 10/11*u**3 + 0*u + 0.
2*u**2*(u + 1)**2*(3*u + 1)/11
Factor 23/7 + 1/7*b**2 - 24/7*b.
(b - 23)*(b - 1)/7
Let h = 252 - 385. Let i = h - -267/2. Factor -i*y + 1/2*y**3 + 0*y**2 + 0.
y*(y - 1)*(y + 1)/2
Let y(p) = 5*p**2 - 2*p + 9. Let u(x) = -x**2 - 1. Let n(c) = 6*u(c) + y(c). Factor n(h).
-(h - 1)*(h + 3)
Let t be (-2 - (-10)/2) + (-1577)/581. Suppose 0*z - i = -z - 1, 0 = 2*i - 2. Solve z*o - 2/7*o**2 + t = 0 for o.
-1, 1
Let f be 64/24*54/126. Let n = -716 + 5020/7. Factor -2/7*p**2 - n + f*p.
-2*(p - 2)**2/7
Let q(x) = -8*x - 61. Suppose -35*u + 37*u + 16 = 0. Let z be q(u). Let 4/3*h - 4/3*h**4 + 8/3*h**2 - 4/3 - 8/3*h**z + 4/3*h**5 = 0. Calculate h.
-1, 1
Let w(z) be the third derivative of -z**6/420 - 23*z**5/105 - 89*z**4/84 - 44*z**3/21 - 386*z**2. Factor w(y).
-2*(y + 1)**2*(y + 44)/7
Suppose -8 = -6*j + 16. Suppose 3*u = u + 6. Factor 5*i**u - i**3 - j*i + 0 + 2*i**2 - 5 + 3.
2*(i - 1)*(i + 1)*(2*i + 1)
Let q(w) be the second derivative of -w**6/75 + 97*w**5/150 - 1007*w**4/90 + 3367*w**3/45 - 338*w**2/5 + 88*w + 1. Suppose q(j) = 0. What is j?
1/3, 6, 13
Let b be (2 - 1)*(6 + 2). Suppose 0*l = -4*l + b. Factor l*k**3 - 15*k + 6*k**2 + 10*k + 9*k.
2*k*(k + 1)*(k + 2)
Suppose 14 - 29 = -3*r. Let l = 40 + -36. Suppose 355 + 2*c**l - c**r - 2*c**2 + c**3 - 355 = 0. What is c?
-1, 0, 1, 2
Let j(t) be the third derivative of -t**5/160 + t**4/64 + t**2 + 9. Factor j(f).
-3*f*(f - 1)/8
Let t be (61 - 63)*2/(-10). Suppose 3/5*g - 1/5*g**2 - t = 0. Calculate g.
1, 2
Let k(v) be the third derivative of -v**6/240 + v**5/8 - 9*v**4/16 + 13*v**3/12 - 55*v**2. Let k(n) = 0. C