*(i - 1)**3/5
Suppose 7 = 5*p - 8. Let t be (3/(-5))/(-3) - 0. Factor 1/5*w - t*w**4 + 0 - 3/5*w**2 + 3/5*w**p.
-w*(w - 1)**3/5
Let k(i) be the third derivative of 1/12*i**3 - 3*i**2 - 5/96*i**4 + 0*i + 0 - 1/80*i**5. Determine b so that k(b) = 0.
-2, 1/3
Let r(p) be the third derivative of p**5/120 - p**4/6 + 4*p**3/3 + 3*p**2. Factor r(g).
(g - 4)**2/2
Let a be 80/45*(-3)/(-14). Let h(o) be the second derivative of 0 - 1/70*o**5 + 5/42*o**4 - 2*o - a*o**3 + 4/7*o**2. Factor h(c).
-2*(c - 2)**2*(c - 1)/7
Suppose 7 = -5*w - 13. Let t(a) = 3*a**3 + 7*a**2 + 2*a + 4. Let q(g) = -8*g**3 - 20*g**2 - 5*g - 11. Let v(i) = w*q(i) - 11*t(i). Find d such that v(d) = 0.
0, 1, 2
Suppose -o + 4 = 7. Let t be 33/(-11) - (o + 0). Factor 0 - 3/4*m**2 - 3/4*m**3 + t*m.
-3*m**2*(m + 1)/4
Let c be 32/8 - (3 - 1). Factor -a**2 + 5*a - 5*a + 3 - c*a**2.
-3*(a - 1)*(a + 1)
Let f(m) = m**2 - 12*m - 1. Let l be f(13). Let u be (-34)/51*l/(-10). Determine k so that -6/5*k + 2/5*k**2 - u*k**4 + 6/5*k**3 + 2/5 = 0.
-1, 1/2, 1
Let m(i) be the first derivative of -i**7/21 + i**5/5 - i**3/3 - i - 4. Let h(r) be the first derivative of m(r). What is u in h(u) = 0?
-1, 0, 1
Let i = -256429/4 + 896075/14. Let w = i + 411/4. Factor 2/7*y**2 + w*y + 0.
2*y*(y + 3)/7
Let p(z) be the third derivative of 2/3*z**3 + 0*z + 3*z**2 + 0 - 1/12*z**4 - 1/10*z**5. Factor p(c).
-2*(c + 1)*(3*c - 2)
Let p(t) be the first derivative of 21*t**5/10 + 57*t**4/8 - 3*t**3 - 21*t**2 + 12*t - 5. Suppose p(z) = 0. Calculate z.
-2, 2/7, 1
Suppose 1/5*t**5 + t - 1/5 - 2*t**2 - t**4 + 2*t**3 = 0. What is t?
1
Let h(p) = -p**4 + p**2 + 1. Let j(m) = 2*m**4 + 2*m**3 - 3*m**2 - 2*m - 2. Let o(a) = -3*h(a) - j(a). Factor o(x).
(x - 1)**3*(x + 1)
Let b(u) be the first derivative of u**8/112 + u**7/35 - u**6/40 - u**5/10 - 2*u**2 - 1. Let d(j) be the second derivative of b(j). Factor d(r).
3*r**2*(r - 1)*(r + 1)*(r + 2)
Let c(h) be the second derivative of 0 - 1/3*h**3 - 1/144*h**6 - 2*h - 1/24*h**4 + 7/240*h**5 + 0*h**2. Let s(r) be the second derivative of c(r). Factor s(i).
-(i - 1)*(5*i - 2)/2
Solve 5/3*y**2 + 980/3 - 140/3*y = 0 for y.
14
Suppose 24 = -5*w + 11*w. Factor 0 - 4/5*c**w + 0*c**3 - 2/5*c**5 + 4/5*c**2 + 2/5*c.
-2*c*(c - 1)*(c + 1)**3/5
Let a = -87/5 - -353/20. Factor 0 - a*i**3 - 1/2*i**2 + 0*i.
-i**2*(i + 2)/4
Let y(i) be the second derivative of i**4/42 + 4*i**3/21 + 4*i**2/7 - 7*i. Factor y(u).
2*(u + 2)**2/7
Suppose -1 - 19 = -4*f. Let s(u) be the second derivative of 0 + 0*u**3 + 1/40*u**f + 1/60*u**6 + 0*u**2 - 1/42*u**7 + u + 0*u**4. What is t in s(t) = 0?
-1/2, 0, 1
Suppose 3*z + 2*p = 11, z + 4*p = -p + 8. Find v, given that 2/3 - 2*v - 2/3*v**z + 2*v**2 = 0.
1
Suppose -8 = -2*q + 2. Suppose -q*t + 16 = -t. Determine w so that -2 - 5*w**3 + 2*w**2 - 1 + 3*w**t + 3 = 0.
0, 2/3, 1
Let w(y) = -y**3 - 8*y**2 - 8*y - 2. Let j be w(-7). Suppose 12/5*n**2 + 4/5*n + 0 - j*n**3 - 15*n**4 = 0. Calculate n.
-2/5, -1/3, 0, 2/5
Let z(p) be the first derivative of -p**4/14 - 2*p**3/21 + 11. Factor z(m).
-2*m**2*(m + 1)/7
Let d(x) be the first derivative of x**4/20 - 12*x**3/5 + 216*x**2/5 - 1728*x/5 + 27. Factor d(g).
(g - 12)**3/5
Solve 17*b**3 - 27*b**3 + 15*b**3 = 0.
0
Suppose -2*n - 6 = -6*r + 3*r, -4 = 5*n - 2*r. Suppose -17*v**3 + 2*v**3 + 3*v - 9*v**4 + n*v - 3*v**2 = 0. What is v?
-1, 0, 1/3
Let l(n) = 6*n**2 + 74*n + 14. Let o(s) = -s**2 - 15*s - 3. Let d(q) = 3*l(q) + 14*o(q). Solve d(v) = 0.
-3, 0
Let g(p) be the third derivative of -p**5/20 - 9*p**4/32 - p**3/4 + 5*p**2. Factor g(k).
-3*(k + 2)*(4*k + 1)/4
What is i in 1/2*i**5 - 1/2*i**3 + 0*i + 0 - 1/2*i**4 + 1/2*i**2 = 0?
-1, 0, 1
Let p(l) = 2*l - 16. Let i be p(9). Let n = 15/22 - 2/11. Factor n*x**i + x + 1/2.
(x + 1)**2/2
Suppose l + 4*l = -10. Let x be 3/((-15)/8) - l. Factor -4/5*y - x - 2/5*y**2.
-2*(y + 1)**2/5
Let j(n) be the third derivative of n**5/30 + 8*n**4/3 + 256*n**3/3 - 59*n**2. Factor j(b).
2*(b + 16)**2
Suppose 62 - 50 = 4*l. Let b(j) be the first derivative of 0*j + 1/12*j**2 + 1/18*j**l - 4. Find q, given that b(q) = 0.
-1, 0
Suppose -21 = -3*c - 6. Let h(s) = 4*s**2 + s - 5. Let z(l) = -4*l**2 - 2*l + 6. Let q(j) = c*h(j) + 4*z(j). Let q(k) = 0. Calculate k.
-1/4, 1
Solve 3*i**2 - 8*i + 12 - i + 3*i - 6*i = 0 for i.
2
Let t(w) be the second derivative of 6*w + 177/10*w**5 - 873/70*w**6 + 0 + 162/49*w**7 - 6/7*w**2 - 333/28*w**4 + 30/7*w**3. Find i, given that t(i) = 0.
2/9, 1/4, 1
Suppose 160 = -0*h + 2*h. Let l be h/75 - (-4)/(-6). Suppose 2/5 - 4/5*m + l*m**2 = 0. What is m?
1
Let t(p) be the third derivative of 3*p**7/70 + 2*p**6/5 + 79*p**5/60 + 13*p**4/6 + 2*p**3 - 47*p**2. Factor t(y).
(y + 1)*(y + 3)*(3*y + 2)**2
Let z(m) be the second derivative of 1/50*m**5 + 0 - 4*m - 1/15*m**3 + 0*m**2 - 1/60*m**4 + 1/150*m**6. Suppose z(d) = 0. Calculate d.
-2, -1, 0, 1
Find i, given that 12*i**3 - 4*i**3 - 4 - 11*i**4 + 4*i**4 - 12*i**5 + 4*i + 24*i**2 - 13*i**4 = 0.
-1, 1/3, 1
Let d(s) = 2*s - 15. Let a be d(10). Let -8*m - 11*m**2 + 17/3*m**3 - 4/3 + 7*m**4 - 3*m**a = 0. Calculate m.
-1, -1/3, 2
Let j(m) be the second derivative of -m**7/42 + m**6/18 + m**5/60 - 5*m**4/36 + m**3/9 - 18*m. Solve j(h) = 0 for h.
-1, 0, 2/3, 1
Let p(i) = -i**3 - 3*i**2 - 4*i - 2. Let g be p(-1). Let z(u) be the third derivative of 0*u + 1/120*u**6 + 0*u**3 + g + 0*u**4 - 2*u**2 + 0*u**5. Factor z(j).
j**3
Factor -3/2*m**4 + 0 - 27*m + 9/2*m**2 + 6*m**3.
-3*m*(m - 3)**2*(m + 2)/2
Factor 2 + 0 - p**3 - 2*p**4 + 3*p**2 - 2 - 1 + p.
-(p - 1)*(p + 1)**2*(2*p - 1)
Factor -4 - 8*r - 6*r**3 - 12*r**2 - 4*r + 2*r**3.
-4*(r + 1)**3
Factor 0 - 1/5*n - 1/5*n**3 - 2/5*n**2.
-n*(n + 1)**2/5
Let a be (-1)/(-8)*-2*(1 - 7). Determine x, given that 1/2 + a*x + 3/2*x**2 + 1/2*x**3 = 0.
-1
Let o = 9 - 4. Suppose 20 = 5*i - 2*d, o*d - 7 = 4*i - i. Let -i*p + 0 + 0*p**3 + 2 + 6*p**2 - 2*p**3 = 0. What is p?
1
Factor 18*l**3 - 23*l**4 - 18*l + 13*l**4 - 27 + 24*l**2 + 13*l**4.
3*(l - 1)*(l + 1)*(l + 3)**2
Suppose -w + 3 = -0*w. Let l = 11/3 - w. Factor l*g**2 + 1/3*g + 1/3*g**3 + 0.
g*(g + 1)**2/3
Let a(m) be the first derivative of -m**3/3 + 5*m**2 - 9*m + 10. Let y be a(9). Factor 0 + y*c - 2/13*c**3 + 2/13*c**2.
-2*c**2*(c - 1)/13
Let v(b) be the third derivative of b**6/80 - b**4/16 + 35*b**2. Factor v(j).
3*j*(j - 1)*(j + 1)/2
Let d be -3 - (-2 + (-16 - 0)). Let r be (2/(-3))/((-4)/d). Let -r*v**4 - 1/2*v**2 + v + 0 - 4*v**3 = 0. What is v?
-1, 0, 2/5
Let q(l) = -6*l**3 + 20*l**2 - 14*l - 8. Let o(c) = 4*c**3 - 13*c**2 + 9*c + 5. Let t = -3 - 2. Let j(h) = t*q(h) - 8*o(h). Factor j(w).
-2*w*(w - 1)**2
What is h in -6/5*h + 6/5*h**3 - 4/5*h**2 + 0 + 4/5*h**4 = 0?
-3/2, -1, 0, 1
Let v(z) be the first derivative of -z**6/120 + z**5/20 - z**4/8 - 4*z**3/3 - 2. Let a(w) be the third derivative of v(w). Factor a(q).
-3*(q - 1)**2
Let h(d) be the second derivative of d**6/20 - 21*d**5/40 + 11*d**4/8 - 5*d**3/4 - 19*d. Determine s so that h(s) = 0.
0, 1, 5
Determine u so that 7*u**3 - 4*u**3 - 5 + 6*u**2 - 1 + 2*u - 5*u = 0.
-2, -1, 1
Let t be -5*((-2)/(-5))/(-1). Suppose -47*v = -46*v - 4. Factor -11*s**2 + 4*s**3 - v - 11*s**t + 10*s + 5*s**2 + 10*s.
(s - 2)**2*(4*s - 1)
Find g such that 0*g + 0*g**4 - 4/7*g**2 - 2/7*g**5 + 0 + 6/7*g**3 = 0.
-2, 0, 1
Determine c, given that -2*c**2 - 60 - 3*c**2 + 60 = 0.
0
Suppose 16 = 10*x - 6*x. Let a(u) be the third derivative of 0 - 1/150*u**5 + 0*u - 3*u**2 + 0*u**3 + 0*u**x. Factor a(h).
-2*h**2/5
Let q be (-2)/(336/(-172)) + 0. Let j = q - 5/14. Factor -j*m + 2/3*m**3 + 0 + 0*m**2.
2*m*(m - 1)*(m + 1)/3
Let c(m) = -m**2 + 7*m + 30. Let t be c(10). What is y in 0 + t*y + 1/4*y**2 = 0?
0
Suppose -4*j - 4*q = -16, 0 = j - 4*q + 1. Suppose -j - 1 = -2*p. Let 2/7*v**3 + 0 + 2/7*v**4 + 0*v**p + 0*v = 0. What is v?
-1, 0
Let h(r) = 39*r**4 - 6*r**3 - 194*r**2 - 6*r + 86. Let w(l) = -40*l**4 + 5*l**3 + 195*l**2 + 5*l - 85. Let v(m) = -5*h(m) - 6*w(m). What is a in v(a) = 0?
-2, -2/3, 2/3, 2
Suppose -3*z + 1 = -3*x + 5*x, x = -4. Let f = 94/57 - 6/19. Find p such that -f*p**2 + 2/3*p**z + 2/3*p + 0 = 0.
0, 1
Let z(o) be the third derivative of -o**7/70 + o**6/2 - 59*o**5/10 + 45*o**4/2 - 81*o**3/2 - 31*o**2. Solve z(b) = 0 for b.
1, 9
Let d be 4/(-6)*-3 + -2. Suppose 0*v + 2*v = d. Factor v*c + 0 - 4/9*c**2 + 10/9*c