) be the second derivative of u**5/100 + 7*u**4/60 + u**3/2 + 9*u**2/10 - 8*u. Factor y(p).
(p + 1)*(p + 3)**2/5
Let n(t) be the first derivative of 0*t**2 + 0*t**4 + 2/35*t**5 + 0*t - 2 - 2/21*t**3. Find g, given that n(g) = 0.
-1, 0, 1
Let h(i) = i**3 - i**4 - 3*i**4 + i**2 + 5*i**4. Let g(v) = -v**5 + v**3 - 3*v**2 - v + 1. Let b(z) = g(z) + h(z). Solve b(w) = 0 for w.
-1, 1
Let w(t) be the first derivative of 2*t**3/15 - 22*t**2/5 + 242*t/5 + 29. Suppose w(c) = 0. What is c?
11
Suppose -6*g - 6*g**3 - 10*g - 2*g**4 - 2*g**2 + 22*g + 4 = 0. Calculate g.
-2, -1, 1
Let t be (-15)/48*2*12/(-30). Factor -t*d**2 - 1/4 - 1/2*d.
-(d + 1)**2/4
Let l(z) be the first derivative of -z**5/15 - z**4/3 - 2*z**3/3 - 2*z**2/3 - z/3 + 7. Suppose l(g) = 0. Calculate g.
-1
Let l = 21 + -17. Let t(z) be the third derivative of 1/10*z**l + 1/600*z**6 + 4/15*z**3 + z**2 + 0*z + 1/50*z**5 + 0. Factor t(k).
(k + 2)**3/5
Suppose y - 2 = -4*a, -2*a + 3 = 3*y - 3. Let g(m) be the third derivative of 0*m**3 - 1/120*m**5 + a - 1/48*m**4 + 0*m - m**2. Determine x so that g(x) = 0.
-1, 0
Let l(w) be the third derivative of 0*w**4 - 1/120*w**5 + 0*w**3 + 1/240*w**6 + 0 - 3*w**2 + 0*w. What is a in l(a) = 0?
0, 1
Let s be (-1 - 1)/(0 - 1). Suppose s*q + 5*n = 29, 2*n - 3*n = -5. Factor -2*f**2 + q - f + f + 0*f.
-2*(f - 1)*(f + 1)
Let l(n) = -11*n - 8. Let q be l(-1). Let 0 + 2/3*g**5 + 0*g + 0*g**2 + 0*g**q - 2/3*g**4 = 0. What is g?
0, 1
Suppose 11*m + 8*m - 10*m**4 + 10*m**2 - 14*m - 5*m**5 = 0. Calculate m.
-1, 0, 1
Let c = -9 + 7. Let w = c - -4. Let 1/3*o**w + 2/3 - o = 0. Calculate o.
1, 2
Let j(g) be the third derivative of g**6/40 - g**5/20 + g**2 + 6*g. Factor j(l).
3*l**2*(l - 1)
Let y(l) = -2*l**3 + 14*l**2 - 32*l + 16. Let d(v) = 8*v**3 - 56*v**2 + 129*v - 63. Let k(c) = -2*d(c) - 9*y(c). Suppose k(s) = 0. Calculate s.
1, 3
Let i(v) be the first derivative of v**6/2 + 24*v**5/5 + 33*v**4/2 + 24*v**3 + 27*v**2/2 + 29. Let i(w) = 0. What is w?
-3, -1, 0
Let w(n) = n**5 + n**4 - n. Let d(y) = 6*y**5 + 9*y**4 - 6*y**2 - 6*y. Let l(f) = -d(f) + 3*w(f). Solve l(s) = 0.
-1, 0, 1
Let s(j) be the second derivative of -j**10/45360 - j**9/22680 + j**4/12 + j. Let t(c) be the third derivative of s(c). Find i, given that t(i) = 0.
-1, 0
Let j(c) = -2*c**3 + 16*c**2 + 14*c + 8. Let o(s) = s**3 + s**2 + 1. Let v(l) = -j(l) + 12*o(l). Let v(h) = 0. Calculate h.
-1, 2/7, 1
Let b(t) be the first derivative of t**7/1680 - t**6/240 + t**5/80 - t**4/48 - 4*t**3/3 - 3. Let u(x) be the third derivative of b(x). Factor u(o).
(o - 1)**3/2
Let a(m) be the third derivative of -m**5/60 + m**4/24 - 8*m**2. Let y be a(1). Factor 0*z + 0*z**2 + 0 - 1/4*z**4 + y*z**3.
-z**4/4
Let a = -56 - -58. Suppose 1/5*x**3 + 1/5 + 3/5*x + 3/5*x**a = 0. Calculate x.
-1
Let x be 1/6*20/45. Let j(a) be the first derivative of 1 - x*a**3 + 0*a - 1/9*a**2. What is g in j(g) = 0?
-1, 0
Let a(c) be the first derivative of 2*c**5/5 - 3*c**4/2 + 2*c**3 - c**2 + 7. Factor a(j).
2*j*(j - 1)**3
Let b = 1059/7 - 151. Factor 0 + 0*q**2 + 2/7*q - b*q**3.
-2*q*(q - 1)*(q + 1)/7
Let t(w) be the third derivative of w**8/560 - w**7/350 - w**6/200 + w**5/100 + 6*w**2. Find d, given that t(d) = 0.
-1, 0, 1
Let p = -3 - -5. Let w(d) = -5 + 3*d**p - 4*d + 2*d - 5*d. Let q(s) = 8*s**2 - 20*s - 14. Let v(m) = 5*q(m) - 14*w(m). Solve v(u) = 0 for u.
-1, 0
Factor 0 + 0*p + 4/3*p**4 + 2/3*p**3 + 0*p**2 + 2/3*p**5.
2*p**3*(p + 1)**2/3
Let f be (2*1)/(115/46). What is n in 2*n**3 + 2/5*n**2 - 6/5*n**5 + 0 - 2/5*n**4 - f*n = 0?
-1, 0, 2/3, 1
Let u be (-222)/(-44) + 30/12 + -3. Factor -30/11*q**2 + 18/11*q - u*q**3 - 2/11.
-2*(q + 1)*(5*q - 1)**2/11
Let d(w) = w**2 - 5*w - 8. Let f be d(6). Let v(m) = m**2 - 2. Let p be v(f). Factor 3 + 2*u**5 + 2*u**2 - 3 - 2*u**4 - p*u**3.
2*u**2*(u - 1)**2*(u + 1)
Let j be 4/10 + (-8)/(-5). Let i(l) = -l + 4. Let s be i(j). Solve 6/7*u - 4/7 + 4/7*u**s = 0.
-2, 1/2
What is g in -169*g + 13*g**2 - 1/3*g**3 + 2197/3 = 0?
13
Let f(j) = -j**3 - j**2. Let h(p) = -9*p**3 - 21*p**2 - 24*p - 12. Let u(i) = 6*f(i) - h(i). Factor u(w).
3*(w + 1)*(w + 2)**2
Let g be 0 + 6/33 + 18/(-99). Solve 4/5*z**5 + g*z**4 + 0*z**2 + 0 - 4/5*z**3 + 0*z = 0 for z.
-1, 0, 1
Factor -2/5*z**2 + 4/5*z - 2/5.
-2*(z - 1)**2/5
Let z(k) = k**2 + 6*k + 11. Let s be z(-3). Let y(m) be the third derivative of -3/80*m**6 + m**s + 0 + 1/8*m**5 + 0*m + 1/12*m**3 - 7/48*m**4. Factor y(c).
-(c - 1)*(3*c - 1)**2/2
Let c(i) be the third derivative of -i**5/30 + i**2. Find o such that c(o) = 0.
0
Let a(p) be the third derivative of -p**8/336 + p**6/60 - p**4/24 + 11*p**2. Factor a(m).
-m*(m - 1)**2*(m + 1)**2
Let i be 2 - (2 + -2)/1. Suppose -7 = -i*l - 1. Factor 2/3*s**5 + 0*s**4 - 4/3*s**l + 2/3*s + 0*s**2 + 0.
2*s*(s - 1)**2*(s + 1)**2/3
Suppose 4/7*j + 0 - 8/7*j**3 + 2*j**2 = 0. Calculate j.
-1/4, 0, 2
Let n = 8 - 6. Let z(w) = -w**2 - 3*w + 3. Let q be z(-2). Factor -h**4 - 1/2*h**3 - 1/2*h**q + 0*h + 0*h**n + 0.
-h**3*(h + 1)**2/2
Let w(j) = 5*j**2 + 2*j + 1. Let c(z) = 4*z**2 + 2*z + 1. Suppose -2*i = 3*i - 20. Let a(n) = i*c(n) - 3*w(n). Factor a(x).
(x + 1)**2
Let o = 5 - 3. Suppose -3*i**3 + o*i**3 + 2*i**4 - i**3 = 0. Calculate i.
0, 1
Let h = -14 - -22. Suppose -3*m + h*m = 2*f, 0 = -5*f. Factor 9/4*y - 3/4*y**2 + m.
-3*y*(y - 3)/4
Let m(x) = -3*x**2 - 1. Let v be m(-3). Let y be (-35)/v + 2/8. Factor -3/2*g**2 - 1/2 + 1/2*g**3 + y*g.
(g - 1)**3/2
Let n = -12 + 217/18. Let z(t) be the third derivative of -1/36*t**4 - 2*t**2 - n*t**3 - 1/180*t**5 + 0 + 0*t. Suppose z(y) = 0. What is y?
-1
Factor 7*p**5 - 5*p**3 - 4*p**5 - 3*p**3 + 4*p**4 + p**5.
4*p**3*(p - 1)*(p + 2)
Let x(y) be the first derivative of -y**4/36 + y**3/6 - y**2/3 + 2*y - 4. Let o(d) be the first derivative of x(d). Factor o(r).
-(r - 2)*(r - 1)/3
Let g = -11 + 83. Let u = g - 486/7. Let u*i**2 + 54/7 + 54/7*i + 2/7*i**3 = 0. What is i?
-3
Let h(p) be the third derivative of 0*p**3 - 1/90*p**4 + p**2 + 0 + 0*p + 1/900*p**6 + 1/450*p**5. Suppose h(t) = 0. Calculate t.
-2, 0, 1
Let f = 1077/5 - 215. Let 0*z - 2/5*z**2 + f = 0. What is z?
-1, 1
Let c = 28 + -18. Suppose 4*n - 20 = -2*o, 5*n - 4*o - 2 - c = 0. Determine a so that 1/2 - 1/4*a**n + 3/4*a - 1/4*a**2 - 3/4*a**3 = 0.
-2, -1, 1
Let i(d) = d**2 - 5*d. Let q be i(5). Suppose -4*t = 4*b - 20, -b - 1 = -t - q*t. Factor 1/5*u**b - 1/5 + 0*u.
(u - 1)*(u + 1)/5
Let y(b) = -19*b**3 + 2*b**2 + b. Let w be 2/2 - (2 + 0). Let c be y(w). Let c*q**3 + 4 - 7*q**2 - 14*q - 6*q**3 + 3*q**2 = 0. Calculate q.
-1, 2/7, 1
Suppose 0 = -4*h + 5*x + 83, 15 + 103 = 4*h + 2*x. Suppose 4*g + 5*j + 2 = -6, h = 5*g - 3*j. Factor g*q - 2*q**2 - q + 0*q.
-2*q*(q - 1)
Suppose -8*a + 2 = -7*a. Factor 4 - m**2 - 4*m - 3 + a*m**2 + 2*m.
(m - 1)**2
Let v(n) be the second derivative of 7*n**5/5 + 3*n**4 + 4*n**3/3 + 15*n. Suppose v(i) = 0. What is i?
-1, -2/7, 0
Let n be (-175)/(-55) + 2/(-11). What is q in 3*q + 12*q + 5*q**2 + 2*q**3 + 6 + q**n + 7*q**2 = 0?
-2, -1
Suppose -2*p + w = 3*p - 8, 2*w - 2 = p. Let -2*l**2 - 4 - l**2 + 2*l**p - 5*l + l = 0. What is l?
-2
Let l(g) be the third derivative of 5/12*g**4 + 2/3*g**3 + 0 + 0*g + 1/10*g**5 + 2*g**2. Factor l(p).
2*(p + 1)*(3*p + 2)
Suppose 9*z**3 + 0 + 3/2*z**5 + 3/2*z + 6*z**4 + 6*z**2 = 0. Calculate z.
-1, 0
Determine i so that 0 + 8/7*i**2 + 16/7*i**4 + 4/7*i**5 + 20/7*i**3 + 0*i = 0.
-2, -1, 0
Let i be 78/819 + 8/14. Factor i*a**2 + 2/3 + 4/3*a.
2*(a + 1)**2/3
Find r, given that r**2 - 6*r**4 + 0*r - 3/2*r**3 + 0 - 7/2*r**5 = 0.
-1, 0, 2/7
What is l in -2*l**4 - 2*l**3 + l**2 - 3*l**4 + 6*l**4 = 0?
0, 1
Let t(q) = -q + 2. Let p be t(1). Factor 2 + 2*u + p - 2 + u**2.
(u + 1)**2
Factor 1/10*f - 1/10*f**2 + 1/5.
-(f - 2)*(f + 1)/10
Let a(q) be the first derivative of -2/9*q**5 + 17/18*q**4 - 4/9*q - 14/9*q**3 + 11/9*q**2 + 3. Let a(t) = 0. Calculate t.
2/5, 1
Let x(w) be the third derivative of w**5/120 - w**4/12 + 10*w**2. Solve x(c) = 0.
0, 4
Let c(z) be the first derivative of z**5/110 - 7*z**4/66 + 5*z**3/11 - 9*z**2/11 - 3*z - 4. Let a(h) be the first derivative of c(h). What is k in a(k) = 0?
1, 3
Let v(d) = -d**3 - d**2 + d - 3. Let p(u) = -3*u**3 - 3*u**2 + 3*u - 7. Let z(g) = 2*p(g) - 5*v(g). Factor z(l).
-(l - 1)*(l + 1)**2
Suppose -2*m = m - 15. Let l(g) be the first der