/3
Find v such that v**5 - 2*v**2 + v - 2*v**3 + v**4 + 1 + 0 + 5*v**5 - 5*v**5 = 0.
-1, 1
Let 0*c + 2*c + 8*c**2 + 4*c**3 + 2*c = 0. Calculate c.
-1, 0
Factor -3/2*x - 1/4*x**2 - 9/4.
-(x + 3)**2/4
Let u(h) = -h**2 - 6*h + 19. Let n be u(-8). Let c(w) be the second derivative of w + 0 - 1/3*w**2 - 1/6*w**4 - 4/9*w**n. Factor c(d).
-2*(d + 1)*(3*d + 1)/3
Let k(l) = l**5 - 18*l**4 - 18*l**3 - 13*l**2 + 7*l. Let u(h) = -h**5 + 9*h**4 + 9*h**3 + 7*h**2 - 4*h. Let z(c) = 4*k(c) + 7*u(c). Suppose z(v) = 0. What is v?
-1, 0
Let j(w) be the third derivative of -w**5/60 - w**4/24 + w**3/3 + w**2. Determine a so that j(a) = 0.
-2, 1
Let a(z) be the third derivative of -z**5/20 + z**4/8 + 10*z**2. Factor a(t).
-3*t*(t - 1)
Let t(k) be the second derivative of 3*k**5/100 + k**4/20 - k**3/5 - 7*k. Solve t(l) = 0.
-2, 0, 1
Let l(k) be the first derivative of 3*k**5 + 13*k**4/2 - 4*k**3 - 4*k**2 - 11. Factor l(h).
h*(h + 2)*(3*h - 2)*(5*h + 2)
Let b(w) be the second derivative of -w**7/126 - w**6/30 - w**5/30 + 6*w. Determine l so that b(l) = 0.
-2, -1, 0
Let y(g) = -g**3 - g**2 - g - 1. Let i(b) = 5*b**3 + 7*b**2 + 7*b + 5. Let k(x) = -i(x) - 6*y(x). What is c in k(c) = 0?
-1, 1
Suppose -x + 11 + 4 = 0. Let b be x/3 + 0 + 0. Find h such that -5*h**2 - 4*h**3 + 2 - h + 3*h**4 + 0*h + b*h**3 = 0.
-1, 2/3, 1
Suppose 5*u - 2 + 0 - u**3 - 2*u = 0. Calculate u.
-2, 1
Let g(f) be the first derivative of -f**5 + 5*f**4/2 - 5*f**2 + 5*f + 16. Find v such that g(v) = 0.
-1, 1
Let i be 3/(4/(96/9)). Suppose -5*m + i = 2*s, -3*m + 5*s - 2 = -13. Factor 3/2*b**m + 0 - 3/2*b.
3*b*(b - 1)/2
Let k be (-6)/12*(6/(-3) + 2). Let 3/4*x**5 + 0*x + 0*x**2 - 3/2*x**4 + 3/4*x**3 + k = 0. Calculate x.
0, 1
Let o(u) be the third derivative of u**6/32 - 7*u**5/80 + u**4/16 - 15*u**2. Find k, given that o(k) = 0.
0, 2/5, 1
Let a(n) be the second derivative of -n**6/135 + n**4/27 - n**2/9 - 8*n. What is p in a(p) = 0?
-1, 1
Suppose 4*g = -73 + 89. Find x, given that -x**g + 1 - x**3 - 7/2*x + 4*x**2 + 1/2*x**5 = 0.
-2, 1
Factor 0 - 5/2*m**4 + 5/2*m**2 - m**3 + m.
-m*(m - 1)*(m + 1)*(5*m + 2)/2
Let p(d) = -d**2 - 8*d - 1. Let o be p(-7). Let f be 1 - (-2 + 16/o). Find x such that 0 - 2/3*x**3 + f*x + 1/3*x**2 = 0.
-1/2, 0, 1
Let s be 5*(-2 + 1 + 0). Let m = -3 - s. Factor 2*k**m - k**2 - 2*k**2.
-k**2
Let s be (-1 - 0) + (-16)/(-4). Let n(g) be the second derivative of g + 0*g**2 - 1/20*g**4 + 3/100*g**5 + 1/50*g**6 - 1/10*g**s + 0. Factor n(f).
3*f*(f - 1)*(f + 1)**2/5
Let t(r) be the first derivative of r**2 - 1/2*r**4 - 1/5*r**5 + 0*r + 1/3*r**3 - 4. Factor t(o).
-o*(o - 1)*(o + 1)*(o + 2)
Let z(j) = -j**2 - 2*j + 17. Let a be z(-5). Let 2/3*k**5 + 8/9*k**a + 8/3*k**3 + 0*k + 22/9*k**4 + 0 = 0. What is k?
-2, -1, -2/3, 0
Let l be (-42)/(-56) + 26/8. Let v(n) be the third derivative of 1/9*n**3 - 4*n**2 + 0*n**l + 0 - 1/90*n**5 + 0*n. Solve v(w) = 0 for w.
-1, 1
Let f(r) be the first derivative of 1/3*r**3 - 3 - r**2 + r. Factor f(d).
(d - 1)**2
Suppose 1 = 2*s - 3. Solve 11 - 2*d**s - 2*d**3 - 11 = 0.
-1, 0
Let s(i) = -3*i + 60. Let z be s(20). Suppose 2/13*t**4 - 2/13*t**2 - 2/13*t**5 + 2/13*t**3 + z + 0*t = 0. Calculate t.
-1, 0, 1
Let l(i) be the third derivative of 25*i**7/126 + 5*i**6/72 - i**5/2 - 13*i**4/18 - 4*i**3/9 + 8*i**2. Factor l(u).
(u - 1)*(5*u + 2)**3/3
Let p(x) be the first derivative of x**6/360 - x**5/180 - x**4/36 + 2*x**2 + 1. Let l(a) be the second derivative of p(a). Suppose l(v) = 0. What is v?
-1, 0, 2
Let b(k) be the third derivative of k**6/132 - 2*k**5/55 + k**4/33 + 3*k**2. Suppose b(d) = 0. What is d?
0, 2/5, 2
Suppose -3/5*q**3 - 3/5*q**5 + 0*q + 0*q**2 - 6/5*q**4 + 0 = 0. What is q?
-1, 0
Let g = 5/2 - 21/10. Let u(n) be the first derivative of 4/21*n**3 + 0*n - 9/14*n**4 - 1 + 0*n**2 + g*n**5. Determine o so that u(o) = 0.
0, 2/7, 1
Let s(a) be the first derivative of a**4/4 + a**3 + a**2/2 + a - 1. Let w be s(-2). Factor 1/4*k**w + 1/2*k**2 + 0 - 3/4*k**5 + 0*k - k**4.
-k**2*(k + 1)**2*(3*k - 2)/4
Factor d**2 - 2/3*d + 0.
d*(3*d - 2)/3
Let b(w) be the second derivative of -w + 0 + 1/21*w**7 + 1/6*w**4 + 0*w**3 - 1/15*w**6 - 1/10*w**5 + 0*w**2. Factor b(z).
2*z**2*(z - 1)**2*(z + 1)
Suppose -15*d**2 + 5*d + 19*d**2 - 3*d**2 = 0. Calculate d.
-5, 0
Let a(t) be the first derivative of -8*t**5/5 - 3*t**4 + 4*t**3/3 + 6*t**2 + 4*t + 11. What is u in a(u) = 0?
-1, -1/2, 1
Let z(n) be the second derivative of 2*n**7/7 - 8*n**6/3 + 51*n**5/5 - 62*n**4/3 + 24*n**3 - 16*n**2 + n. Find k such that z(k) = 0.
2/3, 1, 2
Let q(x) be the first derivative of -2*x**3/27 - 5*x**2/9 - 8*x/9 - 34. Solve q(f) = 0 for f.
-4, -1
Solve 0 - 9/4*n**2 + 15/4*n**3 - 3/2*n = 0.
-2/5, 0, 1
Let h = -1 - -4. Factor 2*v**h + 4*v**3 - 5*v**3 + 3*v**3 - 2*v**4 - 2*v**2.
-2*v**2*(v - 1)**2
Suppose 0*h - 10 = -5*h. Factor -v**5 + 85 - 2*v**4 - 85 + 2*v**h + v.
-v*(v - 1)*(v + 1)**3
Suppose 0 = -o + 2. Factor o*f + 2*f + 2*f**2 - 2*f.
2*f*(f + 1)
Find g such that 2*g**4 + 0*g**3 - 12*g**2 + g + 16 + 2*g**3 - 9*g = 0.
-2, 1, 2
Let b(y) be the first derivative of 5*y**6/9 - 34*y**5/15 + 7*y**4/2 - 22*y**3/9 + 2*y**2/3 - 4. Determine h so that b(h) = 0.
0, 2/5, 1
Let s(n) be the third derivative of -n**7/42 - n**6/24 + n**5/4 + 5*n**4/24 - 5*n**3/3 + 3*n**2. Factor s(a).
-5*(a - 1)**2*(a + 1)*(a + 2)
Let t(k) be the first derivative of -k**6/24 + k**5/20 + k**4/8 - k**3/6 - k**2/8 + k/4 - 7. Determine v so that t(v) = 0.
-1, 1
Factor -3*h + 2*h - 3*h**3 + 7*h**3 - 3*h.
4*h*(h - 1)*(h + 1)
Factor -10*y**4 + 5*y**3 - 4*y + 2*y**2 + 8*y**4 - y**3.
-2*y*(y - 2)*(y - 1)*(y + 1)
Let y(c) = -5*c**2 - 112*c - 1085. Let o(x) = -x**2 + x - 1. Let f(k) = 2*o(k) - y(k). Factor f(i).
3*(i + 19)**2
Let p(h) = -h**2 - 10*h + 13. Let c be (26/(-4) - -1)*2. Let f be p(c). Factor -1/4*k**f - 1 + k.
-(k - 2)**2/4
Factor 7*o - 1 + 1 + 4*o**2 + 5*o.
4*o*(o + 3)
Solve -8 - 6*l**2 + 34*l - l**3 - 10*l - 9*l = 0 for l.
-8, 1
Let j = -33 + 67/2. Let q(g) be the second derivative of 0*g**5 + 1/6*g**4 - 1/30*g**6 + 0*g**3 + 0 - 2*g - j*g**2. Factor q(p).
-(p - 1)**2*(p + 1)**2
Let u(r) be the third derivative of 0*r + 10*r**2 - 1/160*r**5 + 0 + 3/32*r**4 - 9/16*r**3. Factor u(x).
-3*(x - 3)**2/8
Let y(r) = -8 + 9*r - 12*r**2 + r**3 + 49*r**2 - 26*r**2. Let b be y(-10). Suppose 0 - 2/3*v**3 - 1/3*v**4 + 0*v - 1/3*v**b = 0. What is v?
-1, 0
Let c(u) be the third derivative of u**6/900 - u**4/60 + u**3/2 - 4*u**2. Let l(r) be the first derivative of c(r). Factor l(s).
2*(s - 1)*(s + 1)/5
Let u be (-15)/9 + (-8)/6. Let y be (-1 - (-7 + 3)) + u. Find b such that 0 - 1/3*b**2 + y*b = 0.
0
Let d(h) be the second derivative of h**6/15 + h**5/10 - h**4/6 - h**3/3 - 4*h. Determine t, given that d(t) = 0.
-1, 0, 1
Factor 0*j + j**2 - 5/2*j**3 + 0.
-j**2*(5*j - 2)/2
Let r = -1/2 - -5/6. Factor -1/3 + 1/3*m**2 + 1/3*m - r*m**3.
-(m - 1)**2*(m + 1)/3
Find z such that 3/7*z + 0 + 0*z**2 - 3/7*z**3 = 0.
-1, 0, 1
Let m(p) be the third derivative of p**6/24 + p**5/6 - 5*p**4/24 - 5*p**3/3 - 17*p**2. Factor m(t).
5*(t - 1)*(t + 1)*(t + 2)
Let a be 4/(-14) + (-9)/(-7). Let d = 5 - 3. Factor a + o**d + 2*o + o + 1.
(o + 1)*(o + 2)
Suppose 0 = 3*k - 0 - 6. Let f be 45/(-6)*(4 - (-52)/(-12)). Factor -5/4*g**4 + 5/4*g + 5/2*g**3 - 1/4 + 1/4*g**5 - f*g**k.
(g - 1)**5/4
Let x(i) = 5*i**4 - 10*i**3 - 12*i**2 - 4*i - 1. Let h(r) = -r**4 + r**3 + r**2. Let k(s) = -6*h(s) - x(s). Factor k(o).
(o + 1)**4
Let b(v) be the second derivative of v**5/40 + v**4/24 - 5*v**3/12 + 3*v**2/4 - v. Determine l so that b(l) = 0.
-3, 1
Factor -4*g**2 - 34*g + 20*g**2 - 2*g**3 + 7 + 13.
-2*(g - 5)*(g - 2)*(g - 1)
Let g(d) be the first derivative of -d**7/315 + d**6/45 - d**5/15 + d**4/9 - d**3/9 + d**2 + 1. Let f(o) be the second derivative of g(o). Factor f(b).
-2*(b - 1)**4/3
Let s = 4 - 1. Suppose 0 = 3*x + h - 5, 7*h = s*h - 4. Suppose 6*y**4 + y**3 - y - 5 - 2*y**x + 1 + 9*y**3 - 9*y = 0. Calculate y.
-1, -2/3, 1
Let l be 28/2*(-3)/(-9). Suppose -3*f = -2 - 16. Factor l*x - f*x**2 + 4/3.
-2*(x - 1)*(9*x + 2)/3
Let l(b) be the first derivative of 16*b**3/15 + 8*b**2/5 + 4*b/5 - 13. Let l(r) = 0. What is r?
-1/2
Solve 2/5*g - 2/5*g**3 + 4/5*g**2 - 4/5 = 0.
-1, 1, 2
Let y(x) be the third derivative of 11*x**6/540 + 13*x**5/270 + x**4/54 - 10*x**2. Factor 