 + i**6/270 + i**5/90 + 4*i**2 + 6. Let s(k) be the second derivative of y(k). Solve s(p) = 0.
-1, 0, 3
Let u be 256/32 + (76/10)/(-1). Let 0*g - 1/5*g**5 + u*g**4 - 1/5*g**3 + 0*g**2 + 0 = 0. Calculate g.
0, 1
Suppose -2*u + u - 1125 = -5*w, -427 = -2*w + 5*u. Factor -4 + w*h**2 - 230*h**2 + h + 7*h.
-4*(h - 1)**2
Let l(y) = -y**3 - y**2 - 4*y. Let w(q) = 4 - q + 3 - 7 - q**2 - q**3. Let a(t) = l(t) - 4*w(t). Factor a(d).
3*d**2*(d + 1)
Suppose -3*t + 5*t = -2*t. Let v(f) be the third derivative of t - 1/120*f**5 - 6*f**2 + 0*f**3 - 1/16*f**4 + 0*f. Factor v(h).
-h*(h + 3)/2
Let h(p) be the first derivative of 2*p**6/25 + 8*p**5/25 + 4*p**4/15 - 14*p + 10. Let t(q) be the first derivative of h(q). Factor t(c).
4*c**2*(c + 2)*(3*c + 2)/5
Let j(o) = o**3 - 2*o**2 - 7*o + 6. Let m be j(4). Suppose -m = -6*x + x. Solve -2*y - 5*y**2 - 2*y**2 + y**4 + 4*y**x = 0.
-1, 0, 2
Let q(s) = -10*s + 60. Let l be q(6). Let v be 0/(4 + -5 + l). Factor 0 + 2/5*r**2 + v*r.
2*r**2/5
Suppose 0 = 2*l - 5*p - 9, -3*p = 5*l - 7. Suppose g**l - g + 4 - g + 3*g + 4*g = 0. What is g?
-4, -1
Let h(s) = s**2 + 8*s - 15. Let t be h(-10). Suppose -t*r + 6 = -9. Factor -4*k - 2*k**r + 2*k**3 + 3*k**3 + k**3.
4*k*(k - 1)*(k + 1)
Let c(x) be the first derivative of -x**5/2 + 15*x**4/8 + 5*x**3/3 - 15*x**2 + 20*x - 92. What is z in c(z) = 0?
-2, 1, 2
Let r(t) = -9*t**3 + 129*t**2 + 89*t + 18. Let z be r(15). Factor -1/6*o**z + 1/2 + 5/6*o**2 - 7/6*o.
-(o - 3)*(o - 1)**2/6
Let r = 107 - -122. Let i = -225 + r. Factor -3/4*s - 10*s**3 - 4*s**i + 23/4*s**2 + 0.
-s*(s + 3)*(4*s - 1)**2/4
Let x = 13 + -4. Let o(w) = 3 + 3*w**4 + 0 - x*w**4 + 6*w**3. Let g(l) = -5*l**4 + 5*l**3 + 2. Let q(u) = -3*g(u) + 2*o(u). Solve q(j) = 0.
0, 1
Let u(x) = -7*x**3 + 101*x**2 + 408*x + 104. Let t(k) = 35*k**3 - 504*k**2 - 2040*k - 518. Let d(g) = -6*t(g) - 33*u(g). Factor d(b).
3*(b - 18)*(b + 3)*(7*b + 2)
Let j(p) be the third derivative of p**6/120 + p**5/15 - 7*p**4/24 - 5*p**3/3 + 3*p**2 - 7. Factor j(g).
(g - 2)*(g + 1)*(g + 5)
Let g = 10643/1440 + -133/18. Let l(q) be the third derivative of 0 - 1/80*q**5 + g*q**6 + 0*q**3 - 5*q**2 + 1/48*q**4 + 0*q. Suppose l(o) = 0. What is o?
0, 1, 2
Let x(p) be the first derivative of 5*p**3/18 - 25*p**2/6 - 55*p/6 + 694. Suppose x(s) = 0. Calculate s.
-1, 11
Let o(f) be the first derivative of -6*f**2 + 5*f**6 - 20*f**5 - 45*f**6 - 15*f - 5 - 4*f**2 + 60*f**4 + 45*f**3. Solve o(t) = 0.
-3/4, -1/2, 1/3, 1
Let y(p) be the third derivative of p**6/24 + p**5/6 + 5*p**4/24 + 93*p**2. Suppose y(g) = 0. Calculate g.
-1, 0
Suppose 0*m = 2*m. Suppose -3*q + 9 = -m. Factor 3 + 5*h - 17*h**3 - 3*h**2 + 0*h + 5*h**q + 7*h.
-3*(h - 1)*(h + 1)*(4*h + 1)
Factor -12/5*p - 2/5*p**2 - 2.
-2*(p + 1)*(p + 5)/5
Suppose 3*v + 4*t = 180, -3*t + 4*t + 67 = v. Suppose v = -10*y + 26*y. Factor -1/3*n**y + 0*n**3 + 0*n**2 + 0*n + 0.
-n**4/3
Suppose -174 = -8*c + 50. Determine l so that -4*l + 2*l**4 - 22*l**3 + 73*l**3 - 19*l**3 - 2 - c*l**3 = 0.
-1, 1
Factor -3/5*o**3 + 9/5*o**2 - 6/5*o + 0.
-3*o*(o - 2)*(o - 1)/5
Suppose -38*n + 5*n - 26 + 125 = 0. What is h in 0 + 2/3*h - 8/3*h**2 - 2/3*h**n + 8/3*h**4 = 0?
-1, 0, 1/4, 1
Let x = -7752/35 + 1116/5. Factor 4/7*n**2 + x - 16/7*n.
4*(n - 3)*(n - 1)/7
Solve -16*b - 99*b**3 - 637*b**2 - 17*b**3 - 32*b + 509*b**2 - 4*b**5 - 40*b**4 = 0 for b.
-6, -2, -1, 0
Suppose 8*d = 12*d - 36. What is b in -21*b**3 + 20 + 6*b**2 - d + 15*b**4 - 11 = 0?
0, 2/5, 1
Let o(s) = 24*s**2 - 196*s - 54. Let m(l) = -16*l**2 + 130*l + 36. Let n(y) = 7*m(y) + 5*o(y). Factor n(z).
2*(z - 9)*(4*z + 1)
Let k(r) = r**2 + 2*r. Let o be k(-2). Suppose 7*m - 2*m - 10 = o. Determine f so that -8 + 16*f**m - 2 - 11 + 12*f + 17 = 0.
-1, 1/4
Suppose -2*v + 4*v - 394 = 0. Let k = -982/5 + v. Determine l so that k*l**3 + 0 - l**2 - 2/5*l = 0.
-1/3, 0, 2
Let b = -7 - -9. Factor -2*f + 17*f - 3*f**2 - 24*f**b + 7*f**2 + 5*f**3.
5*f*(f - 3)*(f - 1)
Factor -x + 15*x**2 - x - 24 - 13*x**2 + 4*x.
2*(x - 3)*(x + 4)
Factor 1 + 23/2*f**2 + 25/2*f.
(f + 1)*(23*f + 2)/2
Let u(g) be the third derivative of 0 + 1/40*g**6 + 15/8*g**4 + 0*g - 51*g**2 + 7/20*g**5 + 9/2*g**3. Solve u(c) = 0.
-3, -1
Let r(p) = 5*p**2 - 46*p + 621. Let q(j) = -6*j**2 + 45*j - 620. Let h(u) = -4*q(u) - 5*r(u). Factor h(v).
-(v - 25)**2
Let k(g) be the third derivative of -2*g**6/15 - 32*g**5/15 + g**4/6 + 16*g**3/3 + 147*g**2. Factor k(u).
-4*(u + 8)*(2*u - 1)*(2*u + 1)
Let f(k) be the first derivative of k**4/6 - 10*k**3/9 + 8*k**2/3 - 8*k/3 + 57. Solve f(g) = 0.
1, 2
Suppose 4*t = 7*t - 9. Let f(x) be the second derivative of -1/4*x**4 - 2*x + 0*x**t + 3/2*x**2 + 0. Factor f(c).
-3*(c - 1)*(c + 1)
Suppose -b = -0*b + 7. Let a(x) = -x**2 - 7*x + 5. Let y be a(b). Find g, given that -5/3*g**4 - 2/3*g**3 - 4/3 - 4/3*g + y*g**2 = 0.
-2, -2/5, 1
Let r(o) be the first derivative of 4*o**3/15 - 34*o**2/5 + 64*o/5 - 102. Solve r(m) = 0.
1, 16
Let s(j) be the third derivative of -j**8/40320 - j**7/1440 - 11*j**5/60 - 35*j**2. Let y(c) be the third derivative of s(c). Factor y(a).
-a*(a + 7)/2
Let r = 34 + -42. Let i be (-28)/21*2/r. Find b such that -i*b + 1/3*b**3 + 0 + 0*b**2 = 0.
-1, 0, 1
Suppose -13*d = -7*d - 108. Find l such that 10*l**2 + d + 5 - 3 + 14*l**3 - 35*l - 9*l**3 = 0.
-4, 1
Let j = -30 - -39. Let b = j - -12. Factor -r**5 - 21*r**2 + r**3 + b*r**2.
-r**3*(r - 1)*(r + 1)
Let v(m) = m**3 - 11*m**2 + 10*m + 10. Let t be v(10). Let -2*k**4 + 32*k**2 + 40*k**4 - t*k**4 - 16*k + 76*k**3 = 0. Calculate k.
-2, -1, 0, 2/7
Let j = 494/35 + -134/35. Let 16/7 - 18/7*w**3 + j*w - 4/7*w**2 = 0. Calculate w.
-2, -2/9, 2
Let f(c) be the second derivative of -c**6/450 - c**5/150 + c**4/15 - 2*c**3/3 - 10*c. Let m(w) be the second derivative of f(w). Find d such that m(d) = 0.
-2, 1
Let b(j) be the first derivative of 4*j**3/3 - 14*j**2/5 + 8*j/5 + 43. Determine q so that b(q) = 0.
2/5, 1
Let r(o) be the first derivative of 3*o**5/5 - 39*o**4/4 + 57*o**3 - 285*o**2/2 + 150*o - 5. Determine n, given that r(n) = 0.
1, 2, 5
Let y = 3 + 1. Let d be (-12 + 12)*(-2)/y. Factor -2/5*x**2 - 2/5*x + d.
-2*x*(x + 1)/5
Let b(g) be the third derivative of 1/40*g**5 + 0 - 37*g**2 + 0*g - 1/4*g**3 - 1/120*g**6 + 1/24*g**4. Factor b(p).
-(p - 1)*(p + 1)*(2*p - 3)/2
Let p(s) be the third derivative of -s**7/75 - 61*s**6/300 - 61*s**5/75 - 11*s**4/15 + 8*s**3/5 + 23*s**2 - 11*s. What is k in p(k) = 0?
-6, -2, -1, 2/7
Let p(x) be the second derivative of 7*x**5/200 - 19*x**4/120 - 11*x**3/5 - 9*x**2/5 - 5*x - 2. Suppose p(b) = 0. Calculate b.
-3, -2/7, 6
Let s(l) be the second derivative of -5*l**4/12 + 85*l**3/3 - 1445*l**2/2 - 77*l. Factor s(a).
-5*(a - 17)**2
Let t = -6 - -43. Factor 2 - t*b**2 + 157*b**2 - 50*b + 3.
5*(4*b - 1)*(6*b - 1)
Let n = -3 + 12. Suppose -5*c + n = 2*z, 3*c - z = 2*z + 18. What is y in 4*y**c + 4*y - 8*y + 4*y**4 + 2*y**2 - 6*y**4 = 0?
-1, 0, 1, 2
What is p in -3/7*p**3 - 120/7*p**2 - 18 + 249/7*p = 0?
-42, 1
Let r(t) be the second derivative of 0 - 15/8*t**2 - 1/16*t**4 - 2*t - 3/4*t**3. Factor r(g).
-3*(g + 1)*(g + 5)/4
Factor 2 - 1/6*c**2 - 1/6*c**3 + 4/3*c.
-(c - 3)*(c + 2)**2/6
Factor 28 - 5*w**2 + 39 - 65*w + 3.
-5*(w - 1)*(w + 14)
Let x(q) = -4*q**2 - 22*q + 12. Let t(a) = 11*a + 0*a - 2*a**2 + 6 - 22*a. Let f(u) = -5*t(u) + 3*x(u). Factor f(w).
-(w + 6)*(2*w - 1)
Let k(u) be the second derivative of -u**6/2160 - u**5/180 - u**4/48 - 11*u**3/6 + 7*u. Let s(w) be the second derivative of k(w). Factor s(g).
-(g + 1)*(g + 3)/6
Let p(w) = 7*w**2 + w - 171. Let k(i) = -3*i**2 - i + 86. Let c(j) = -15*k(j) - 6*p(j). Solve c(g) = 0.
-11, 8
Let d(n) = -15*n**2 + 6*n - 4. Let i(k) = -7*k**2 + 3*k - 2. Let c(m) = -6*d(m) + 13*i(m). Factor c(v).
-(v - 2)*(v - 1)
Let c(r) = r**3 - 2*r**2 - 2*r + 3. Let b be c(2). Let t be ((-32)/4 + 2)/(7/b). Suppose 2/7*w**2 + t*w + 4/7 = 0. What is w?
-2, -1
Let n = 97 + -96. Factor -k**2 + 14*k + 15*k - 31*k - n.
-(k + 1)**2
Find f, given that 0 + 8/5*f**2 + 6/5*f**3 + 0*f**4 - 1/5*f**5 + 3/5*f = 0.
-1, 0, 3
Let v(d) = -7*d - 2. Let t be v(4). Let m = -6 - t. Factor -11*h**4 - m*h**3 - h**4 - 5*h**5 - 6*h + 3*h**5 - 20*h**2.
-2*h*(h + 1)**3*(h + 3)
Let f be 3/6*(4 - 10). Let w be (f/(-2))/(2/((-8)/(-14))). Factor w - 3/7*r**2 + 0*r.
-3*(r - 1)*(r + 1)/7
Let b(u) be t