*(5*i - 2)
Let n(v) = v**3 - 7*v**2 + 7*v - 3. Let r be n(6). Let p be (-3 + (-26)/(-6))*(-12)/(-8). Factor 8*y**4 + 0*y + 8*y**2 - 2*y - p*y**5 + 0*y**5 + 0*y - 12*y**r.
-2*y*(y - 1)**4
Let f(a) be the second derivative of 3/10*a**5 + 0*a**3 + 0*a**2 + 0 + 1/21*a**7 - 1/5*a**6 - 1/6*a**4 + 3*a. Factor f(j).
2*j**2*(j - 1)**3
Let y(a) = -a**3 + a**2 - a + 2. Let d be y(0). Factor 2 + 0 + 10*w - d*w**2 - 10*w.
-2*(w - 1)*(w + 1)
Let p(a) = -a**2 + 19*a + 2. Let j be p(19). Factor -2/7 - 32/7*g**j + 16/7*g.
-2*(4*g - 1)**2/7
Let m(p) be the second derivative of p**7/1260 + p**6/135 + p**5/45 + 5*p**3/6 - 5*p. Let x(d) be the second derivative of m(d). Find r, given that x(r) = 0.
-2, 0
Suppose 0 = 2*j - 5 - 43. Let u = j + -70/3. Factor 0 + t**3 - u*t**2 - 1/3*t**4 + 0*t.
-t**2*(t - 2)*(t - 1)/3
Let k(y) be the third derivative of -y**6/660 - 2*y**5/165 - y**4/44 - 4*y**2. Solve k(j) = 0 for j.
-3, -1, 0
Let d be 3 + (-2 + 0)/2. Suppose 5 + d*i**2 - 3*i**2 - 2*i - 4 + 2*i**2 = 0. What is i?
1
Let w(l) be the first derivative of l**8/6720 - l**7/1680 + l**6/1440 + l**3 - 3. Let r(n) be the third derivative of w(n). Factor r(b).
b**2*(b - 1)**2/4
Let r(u) be the first derivative of u**4/16 - u**3/4 + u**2/4 + 21. Factor r(k).
k*(k - 2)*(k - 1)/4
Suppose 2*o + o - 19 = -5*h, 0 = 4*h + o - 18. Let u(d) be the third derivative of 1/150*d**h - 2*d**2 + 0*d + 0 + 1/20*d**4 + 2/15*d**3. Factor u(z).
2*(z + 1)*(z + 2)/5
Let t(u) = 3*u**3 + 25*u**2 - 69*u + 41. Let y(r) = -3*r**3 - 24*r**2 + 69*r - 42. Let j(g) = 6*t(g) + 5*y(g). Factor j(c).
3*(c - 1)**2*(c + 12)
Let u be 99/6*12/(-9). Let h(q) = 15*q**4 + 11*q**3 + 3*q**2 - 11*q + 15. Let f(v) = -4*v**4 - 3*v**3 - v**2 + 3*v - 4. Let k(i) = u*f(i) - 6*h(i). Factor k(c).
-2*(c - 1)**2*(c + 1)**2
Let l(p) be the second derivative of -p**6/105 + 3*p**5/35 - 2*p**4/7 + 10*p**3/21 - 3*p**2/7 - 5*p. Suppose l(x) = 0. Calculate x.
1, 3
Let y = -818/45 + 92/5. Find m, given that y*m**3 - 4/9*m**2 + 2/9*m + 0 = 0.
0, 1
Factor 4*w**2 + 5 + 3*w - 65 - 14*w - 45*w.
4*(w - 15)*(w + 1)
Suppose 0 = -3*c - 0*c - 21. Let o = c + 11. Factor 1 + 2*k**o - 4*k - k**4 + 2*k**3 - 6*k**3 + 6*k**2.
(k - 1)**4
Let i be (-15 - -6)*(4 + -1). Let d be 72/i - 6/(-2). Factor 1/3 + 1/3*f**3 - 1/3*f - d*f**2.
(f - 1)**2*(f + 1)/3
Suppose 4*w + 7 = 15. Factor 3/2 + 3/2*f**4 - 3*f**w + 0*f**3 + 0*f.
3*(f - 1)**2*(f + 1)**2/2
Let m = 1 + 1. Suppose -m*k + 4*k = 14. What is u in 5*u**2 - 3 + k + 4*u - 4*u**2 = 0?
-2
Suppose 11 + 4 = 5*x. Factor -10*h**3 - 3*h**2 + 2 - 2*h + h + 11*h**x + h**4.
(h - 1)**2*(h + 1)*(h + 2)
Let k be -1*-3*(-2)/(-18). Let x(p) be the second derivative of -1/15*p**5 + 1/3*p**3 - 1/63*p**7 + 0 - 1/15*p**6 - 2*p + k*p**2 + 1/9*p**4. Factor x(l).
-2*(l - 1)*(l + 1)**4/3
Let l be (0/(-1))/((-9)/((-18)/(-4))). Factor -1/4*w - 3/4*w**3 - 9/4*w**4 + 5/4*w**2 + l.
-w*(w + 1)*(3*w - 1)**2/4
Let i(x) be the third derivative of -x**7/1365 - x**6/39 - 5*x**5/13 - 125*x**4/39 - 625*x**3/39 - 13*x**2. Factor i(w).
-2*(w + 5)**4/13
Let g = 524 + -3658/7. Determine c, given that -g*c**3 + 4/7 - 16/7*c**2 - 2/7*c = 0.
-1, 2/5
Let m(h) = h + 12. Let r be m(-10). Suppose -r*q + 9*q**5 - 7*q**4 - 3*q**3 + 7*q**2 + 0*q**5 - 4*q**5 = 0. Calculate q.
-1, 0, 2/5, 1
Factor -3/4*j**4 - 3*j**3 + 0 - 15/4*j**2 - 3/2*j.
-3*j*(j + 1)**2*(j + 2)/4
Let r(o) be the second derivative of -o**6/180 + o**5/30 - o**3/3 - 2*o. Let d(z) be the second derivative of r(z). Determine u, given that d(u) = 0.
0, 2
Let j = 383/1143 - 2/1143. Factor 1/3*y**5 + 0*y - 1/3*y**3 + 0 - 1/3*y**2 + j*y**4.
y**2*(y - 1)*(y + 1)**2/3
Let o(a) be the third derivative of a**5/40 - a**4/2 + 4*a**3 + 11*a**2. Let o(k) = 0. Calculate k.
4
Let s(z) be the first derivative of 2*z**5/55 - 3*z**4/22 + 4*z**2/11 + 17. What is c in s(c) = 0?
-1, 0, 2
What is n in 36/5 + 232/5*n**2 - 164/5*n**3 - 30*n + 52/5*n**4 - 6/5*n**5 = 0?
2/3, 1, 3
Let t = -5 - -7. Let w(d) be the second derivative of -1/3*d**3 - 1/6*d**4 + 0*d**t - 2*d + 0. Let w(c) = 0. What is c?
-1, 0
Let x be ((-10)/20)/((-1)/8). Suppose x*h = -1 + 13. Find c, given that 0 + 2/3*c**5 + 2/3*c**2 + 0*c + 2*c**4 + 2*c**h = 0.
-1, 0
Let g(x) = -3*x**2 - 14*x + 81. Let n(a) = -4*a**2 - 13*a + 81. Let i(k) = -5*g(k) + 4*n(k). Factor i(v).
-(v - 9)**2
Solve 2/3*d**2 + 0 + 2/3*d = 0 for d.
-1, 0
Suppose h - 3*m - 9 = 2*h, -5 = 5*m. Let o = h + 10. Factor 8/3*j + 0 + 98/3*j**o + 154/3*j**3 + 64/3*j**2.
2*j*(j + 1)*(7*j + 2)**2/3
Factor 4/21*l + 2/21*l**2 + 0.
2*l*(l + 2)/21
Let g(j) = j**2 + 3*j - 2. Let w be g(-5). Suppose 2*d - w = -2*d. Factor -14*h**3 + 0 + 4*h**d + 2*h + 12*h - 4.
-2*(h - 1)*(h + 1)*(7*h - 2)
Let f(v) be the first derivative of 7 + 0*v**2 + 2/9*v - 2/27*v**3. Factor f(r).
-2*(r - 1)*(r + 1)/9
Suppose -4*c = c - 25. Let x(k) be the second derivative of 1/5*k**2 - k - 1/50*k**c + 0 - 1/5*k**3 + 1/10*k**4. Suppose x(i) = 0. What is i?
1
Let u(o) = -o**3 - 5*o**2 - 5*o - 4. Let w(v) = v**3 + 5*v**2 + 6*v + 4. Let l(d) = 4*u(d) + 6*w(d). Determine x so that l(x) = 0.
-2, -1
Solve 30*f - 31*f**2 - 16*f**2 - 8*f**2 = 0.
0, 6/11
Let i(j) be the second derivative of j**6/165 - 2*j**5/55 + 5*j**4/66 - 2*j**3/33 + 5*j. Find a such that i(a) = 0.
0, 1, 2
Factor -2/5*c**2 + 6/5*c - 4/5.
-2*(c - 2)*(c - 1)/5
Let v(g) be the third derivative of g**5/30 + g**4/6 + g**2. Let c(u) = 6*u**2 + 9 - 7*u - 9 + 18*u. Let j(o) = 6*c(o) - 17*v(o). Find d, given that j(d) = 0.
0, 1
Let q(a) be the first derivative of a**6/120 + a**5/20 - 2*a**3/3 - 5*a**2/2 - 1. Let b(i) be the second derivative of q(i). Solve b(k) = 0.
-2, 1
Suppose -2*j = a - 6, -a - 8 = -4*a - j. Let u be a - ((-2)/(-2) + -1). Factor 8*k + 0*k**3 + 0*k - 6*k**2 + 2*k**3 - 2 - u*k.
2*(k - 1)**3
Let b(t) be the second derivative of -3*t**5/20 - t**4/4 - 7*t. Factor b(u).
-3*u**2*(u + 1)
Suppose -5*n - 9 = -3*t - 2*n, 7 = -3*t - n. Let z be (-4)/(2/t + 1). Factor 17/3*k**z + 4/3*k**5 + 8/3*k + 28/3*k**3 + 1/3 + 22/3*k**2.
(k + 1)**4*(4*k + 1)/3
Find t, given that -9/7 - 3/7*t + 9/7*t**2 + 3/7*t**3 = 0.
-3, -1, 1
Suppose -5*c + 0*c = -50. Let y = c - 7. Solve -n + 4 + 4*n**4 - 12*n - 10*n**5 + 20*n**y - 8*n**2 + 3*n = 0.
-1, 2/5, 1
Let s(g) be the third derivative of 1/735*g**7 + 0*g + 0 + 0*g**4 - 1/42*g**5 - 4*g**2 + 4/21*g**3 + 0*g**6. Solve s(h) = 0.
-2, -1, 1, 2
Let u(v) = -2*v - 1. Let s(l) = l**3 - 2*l**2 - 3*l - 2. Let r be s(3). Let a be u(r). Determine p, given that 1/4*p**2 + 0 + 0*p + 1/4*p**a = 0.
-1, 0
Let y(c) be the third derivative of c**10/30240 + c**9/8640 + c**8/10080 - c**5/20 - 4*c**2. Let w(m) be the third derivative of y(m). Factor w(l).
l**2*(l + 1)*(5*l + 2)
Let h(y) be the first derivative of 2 + 1/4*y - 1/12*y**3 + 0*y**2. Suppose h(g) = 0. What is g?
-1, 1
Let x(v) = v**2 + 2*v - 6. Let l(i) = -2*i**2 - 4*i + 11. Let j = 1 + 10. Let o(k) = j*x(k) + 6*l(k). Suppose o(s) = 0. Calculate s.
-2, 0
Let q = 30 + -30. Let v(d) be the second derivative of 0 + 1/9*d**4 - 2/45*d**6 + d + 0*d**5 + q*d**2 - 1/9*d**3 + 1/63*d**7. Factor v(u).
2*u*(u - 1)**3*(u + 1)/3
Determine x so that 15*x + 16*x + 48*x**3 - 34*x = 0.
-1/4, 0, 1/4
Let v(z) = 3*z**4 + 2*z**3 - 11*z**2 - 4*z - 2. Let k(c) = -12*c**4 - 9*c**3 + 45*c**2 + 15*c + 9. Let o(h) = 2*k(h) + 9*v(h). Let o(r) = 0. What is r?
-1, 0, 2
Let t(r) be the second derivative of -r**8/112 + 2*r**7/35 - r**6/10 + r**2/2 - 4*r. Let q(b) be the first derivative of t(b). Factor q(k).
-3*k**3*(k - 2)**2
Let y(x) be the first derivative of 0*x + 1 + x**4 + 2/3*x**3 + 0*x**2 + 2/5*x**5. Let y(b) = 0. Calculate b.
-1, 0
Let a(q) = -19*q**5 + 10*q**4 + 9*q**3 + 4*q**2 - 4*q - 4. Let l(s) = 37*s**5 - 20*s**4 - 17*s**3 - 7*s**2 + 7*s + 7. Let c(d) = -7*a(d) - 4*l(d). Factor c(m).
-5*m**3*(m - 1)*(3*m + 1)
Suppose -9*j - 216 = -j. Let g = -25 - j. Suppose 4/9 - 2/9*n - 2/9*n**g = 0. What is n?
-2, 1
Factor 9 + 6*g**3 - 3*g**3 - 3 + 6*g - 15*g.
3*(g - 1)**2*(g + 2)
Suppose -2*p**3 - 4*p**3 + 2*p**4 + 10*p**3 - 2*p**5 = 0. What is p?
-1, 0, 2
Let j(d) be the third derivative of -2*d**7/105 + d**6/60 + d**5/15 - d**4/12 - 42*d**2. Factor j(r).
-2*r*(r - 1)*(r + 1)*(2*r - 1)
Let x(i) = -2 - 2*i**2 - 6*i - 2*i + 0. Let u(n) = n**3 - 3*n**2 - 15*n - 4. Let a(t) = 4*u(t) - 7*x(t). Determine l, given that a(l) = 0.
-1