en that b(a) = 0.
-1, 1, 3
Let u(w) be the third derivative of w**5/80 + 119*w**4/8 + 14161*w**3/2 + 143*w**2 + w. Factor u(l).
3*(l + 238)**2/4
Let i(d) be the first derivative of 8/7*d + 19 + 5/7*d**2 + 2/21*d**3. Solve i(v) = 0 for v.
-4, -1
Let g(b) be the third derivative of -b**5/150 - 11*b**4/15 - 43*b**3/15 + 31*b**2 - 9*b. Suppose g(s) = 0. What is s?
-43, -1
Let y(c) be the second derivative of c**6/30 + 3*c**5/20 + c**4/6 - 19*c + 3. Factor y(m).
m**2*(m + 1)*(m + 2)
Let x be 21/(-12) - (-1540)/880. Determine s so that 2/5 - 2/5*s**2 + x*s = 0.
-1, 1
Let u(q) be the second derivative of 1/50*q**5 - 1/5*q**3 + 0*q**4 + 2*q + 2/5*q**2 + 0. Suppose u(g) = 0. Calculate g.
-2, 1
Let q(u) = -10*u**4 + 79*u**3 - 52*u**2 - 2. Let l(g) = -9*g**4 + 78*g**3 - 51*g**2 - 3. Let a(b) = 2*l(b) - 3*q(b). Solve a(t) = 0 for t.
0, 3/4, 6
Let x be (-175)/(-147) - 7/21. Factor 0 + 0*k + 3/7*k**3 - x*k**2.
3*k**2*(k - 2)/7
Suppose a + l = 2, l - 14 = -5*a - 3*l. Suppose -a*s + 60 = -s. Factor -8*t**2 - 8*t**4 + s*t**3 - t + 3*t - 2*t**5 + 4*t**5.
2*t*(t - 1)**4
Let w = -262669/2832 + 1/2832. Let b = 95 + w. Solve 0*j + 9/4*j**4 + 3/4*j**5 + 3/4*j**2 + b*j**3 + 0 = 0.
-1, 0
Let g = 2575 + -12874/5. Suppose 1/5*v**4 + 0 + 1/5*v**3 - g*v - 1/5*v**2 = 0. What is v?
-1, 0, 1
Let u = 704 - 1407/2. Suppose 0*z + u*z**4 + 0*z**3 + 1/2 - z**2 = 0. What is z?
-1, 1
Let q = 933 + -387. Determine x so that 537*x**2 - q*x**2 + 6*x - x**3 + 4*x**3 = 0.
0, 1, 2
Let f = 107 + -93. Let l be 5 + f/(-35) + -4. Factor -4/5 + l*g + 1/5*g**2.
(g - 1)*(g + 4)/5
Let n(l) be the second derivative of 1/66*l**4 + 5*l + 0*l**2 + 0 + 0*l**3. Factor n(h).
2*h**2/11
Let g = -136232/221 - -10482/17. Solve -4/13*c**3 + 0 + g*c**4 + 0*c + 2/13*c**5 + 0*c**2 = 0 for c.
-2, 0, 1
Let t(m) be the second derivative of m**6/180 - m**5/24 + 7*m**4/72 - m**3/12 - 12*m - 5. Factor t(v).
v*(v - 3)*(v - 1)**2/6
Let i(z) be the second derivative of 5*z**4/12 + 35*z**3/6 - 45*z**2 + 93*z. Find g, given that i(g) = 0.
-9, 2
Let v be (-201)/(-42)*((-236)/76 + 3). Let x = -1/266 - v. Factor 3*q**3 + 6*q**2 + 4*q + x*q**4 + 0.
q*(q + 2)**3/2
Let g = 327 - 321. Let h(k) be the second derivative of 0*k**3 + 0*k**2 + 0 + 1/15*k**g + 1/6*k**4 - 1/5*k**5 + 4*k. Suppose h(m) = 0. What is m?
0, 1
Let b be 1/7 - (-161658)/(-1078). Let n = b + 150. Determine w, given that -n*w**3 + 0*w**2 + 0*w + 0 = 0.
0
Let z(h) be the third derivative of 1/57*h**3 + 0*h - 19*h**2 + 0*h**4 - 1/570*h**5 + 0. Suppose z(k) = 0. Calculate k.
-1, 1
Suppose -11*i + 3*i = -16. Factor -2*x**5 - 4*x**4 + 0*x + 4*x**i - 400 + 400 + 2*x.
-2*x*(x - 1)*(x + 1)**3
Solve -83/6 + 1/6*g**3 + 167/6*g - 85/6*g**2 = 0 for g.
1, 83
Let j(n) be the third derivative of 2*n**4 + 0*n + 0 + 2/15*n**5 - 2/15*n**6 - 2/105*n**7 - 6*n**3 + 6*n**2. Solve j(r) = 0 for r.
-3, 1
Factor 28 + 29 + 37 - 130*j + 68*j**2 - 2*j**3 - 60*j + 30*j**2.
-2*(j - 47)*(j - 1)**2
Let s = 24621/8 + -24609/8. Let o be (3/30)/(2/5). Determine v, given that -s*v**3 - v**4 - v**2 - o*v**5 + 0 - 1/4*v = 0.
-1, 0
Let a(t) be the second derivative of -t**5/80 + 19*t**4/48 - 33*t**3/8 + 81*t**2/8 - 55*t. Let a(f) = 0. What is f?
1, 9
Let a(m) be the second derivative of -4*m**6/165 - 41*m**5/110 - 71*m**4/33 - 59*m**3/11 - 36*m**2/11 + 97*m - 1. Solve a(w) = 0.
-4, -3, -1/4
Factor 0 - 8/5*r**2 + 8/5*r**3 + 6/5*r**4 + 0*r.
2*r**2*(r + 2)*(3*r - 2)/5
Let x(w) be the third derivative of -w**5/210 + 51*w**4/14 - 7803*w**3/7 - 210*w**2. Factor x(p).
-2*(p - 153)**2/7
Suppose 2*r - g - 5 = -1, -3*r - 3*g = -24. Factor 15*y**2 - 16*y**3 - 11*y**2 + 6*y**3 - 23*y**r + 9*y**4.
-2*y**2*(y + 1)*(7*y - 2)
Let w(r) be the first derivative of r**6/10 - 3*r**5/25 - 3*r**4/10 - 14. Factor w(o).
3*o**3*(o - 2)*(o + 1)/5
Let v be (-3)/(-3)*(-9)/(-3). Suppose 1 = -x - 2*g, -v*x + 2*g - 6*g = -1. Let 2*p + 0*p**3 + 0*p**x - 16*p**2 + 12*p**3 + 2*p = 0. Calculate p.
0, 1/3, 1
Let x(b) be the second derivative of b**7/105 + 4*b**6/15 + 59*b**5/25 + 6*b**4 + 27*b**3/5 - 29*b - 2. Factor x(r).
2*r*(r + 1)**2*(r + 9)**2/5
Let c be (2/(-4))/(4/(-24)). Suppose c*o + 17 = 5*y - 1, 5 = -5*o. Let 0*s + 1/2*s**y + 3/2*s**4 + 0 + 0*s**2 = 0. Calculate s.
-1/3, 0
Let y = 22 - 16. Suppose -n + 1 = -8. Factor 14*h**2 - 3*h**4 + y - 9*h**3 + n*h + 14*h**2 - 31*h**2.
-3*(h - 1)*(h + 1)**2*(h + 2)
Let d(c) be the third derivative of 0*c + 0 + 1/240*c**6 - 3/16*c**4 - 1/40*c**5 + 20*c**2 + 9/4*c**3. Factor d(m).
(m - 3)**2*(m + 3)/2
Let d(a) be the first derivative of a**6/54 - 14*a**5/45 + 23*a**4/18 - 64*a**3/27 + 41*a**2/18 - 10*a/9 + 70. Determine h, given that d(h) = 0.
1, 10
Let r(t) be the first derivative of -t**7/63 + 4*t**6/45 - t**5/6 + t**4/9 - 12*t - 7. Let n(s) be the first derivative of r(s). Factor n(j).
-2*j**2*(j - 2)*(j - 1)**2/3
Let i be -28*(-3)/30 - (-1)/5. Let x(o) be the second derivative of 1/3*o**4 + 0 - 3*o + 32*o**2 + 16/3*o**i. Solve x(g) = 0.
-4
Suppose 2*a = q + 3*q - 42, -2*a + 54 = 4*q. Let i be (-1)/((-20)/q*(-14)/(-10)). Factor 0*c + 0 - i*c**2.
-3*c**2/7
Let q(z) be the third derivative of 0*z**3 - 3*z**2 + 0 - 1/112*z**8 + 0*z + 2/35*z**7 - 1/8*z**6 + 1/10*z**5 + 0*z**4. Factor q(d).
-3*d**2*(d - 2)*(d - 1)**2
Let k(u) be the third derivative of -u**5/15 + 19*u**4/3 - 30*u**2. Factor k(s).
-4*s*(s - 38)
Solve -72 - 17*p**3 - 155*p**3 - 724*p + 26*p**3 - 1840*p**2 + 46*p**3 = 0.
-18, -1/5
Let f(q) be the first derivative of 7*q**6/6 + 16*q**5/5 + q**4 - 14*q**3/3 - 11*q**2/2 - 2*q + 294. Suppose f(p) = 0. Calculate p.
-1, -2/7, 1
Let i be 8 - ((-31416)/(-70))/(-17). Suppose -8/5 + 84/5*g**4 + 12/5*g - i*g**3 + 84/5*g**2 = 0. What is g?
-2/7, 1/3, 1
Let t = -35 - -51. Suppose t = h + 3*h. Factor h*a**3 + 3*a - 4*a**3 + 0*a + 3*a**3 - 6*a**2.
3*a*(a - 1)**2
Let t(r) be the second derivative of -r**5/20 - 46*r**4/3 - 365*r**3/6 - 91*r**2 - 1011*r. Find m such that t(m) = 0.
-182, -1
Let k = 278 + -278. Factor 4/3 - 4/3*a**2 + k*a.
-4*(a - 1)*(a + 1)/3
Let u be ((-2)/(-7))/(56/784). Factor 21/2*o**3 + 0 + 0*o + 18*o**u + 3/2*o**2.
3*o**2*(3*o + 1)*(4*o + 1)/2
Let p(s) be the second derivative of -2/21*s**4 - 2/105*s**5 - 3/2*s**3 - 1/630*s**6 + 0*s**2 - 8*s + 0. Let r(l) be the second derivative of p(l). Factor r(i).
-4*(i + 2)**2/7
Let -1/8*h**4 + 0 + 0*h + 17/8*h**3 + 0*h**2 = 0. Calculate h.
0, 17
Let q(r) be the second derivative of -r**5/80 + r**4/12 + r**3/24 - r**2/2 - 91*r. Factor q(a).
-(a - 4)*(a - 1)*(a + 1)/4
Let g(c) = 3*c**3 - 12*c**2 - 10*c - 2. Let d be g(6). Let x = d - 150. Factor 6/5*v**3 - 3/5*v**5 + 0*v**2 + 3/5*v**x + 0 + 0*v.
-3*v**3*(v - 2)*(v + 1)/5
Let r(b) = b**2 - 4*b - 5. Let c be r(5). Let a be (-3)/(-21) - ((-400)/(-448) - 1). Find h such that 1/4*h**3 + c + 0*h + 1/2*h**2 - a*h**4 = 0.
-1, 0, 2
Let d(s) be the first derivative of -s**5 - 15*s**4/4 + 25*s**3 - 85*s**2/2 + 30*s - 56. Find a, given that d(a) = 0.
-6, 1
Let c(a) be the second derivative of a**4/15 - 2*a**3/3 + 12*a**2/5 - 2*a - 3. Factor c(g).
4*(g - 3)*(g - 2)/5
Let g(c) be the third derivative of -1/6*c**4 + 0*c**3 - c**2 - 1/5*c**6 + 4/15*c**5 + 0*c + 0 + 8/105*c**7 - 1/84*c**8. Factor g(k).
-4*k*(k - 1)**4
Suppose -22 = 90*w - 101*w. Factor -4/15 + 4/15*t**w - 2/15*t**3 + 2/15*t.
-2*(t - 2)*(t - 1)*(t + 1)/15
Let z(i) be the first derivative of i**6/9 + 8*i**5/45 + i**4/18 - 5. Factor z(v).
2*v**3*(v + 1)*(3*v + 1)/9
Let t(n) be the second derivative of -n**6/6 + 7*n**5/4 + 5*n**4/4 - 275*n**3/6 - 125*n**2 + 63*n. Factor t(z).
-5*(z - 5)**2*(z + 1)*(z + 2)
Let t be (-35)/(-91) + (-1360)/(-520). Solve 1/2*s + 0 + 2/3*s**2 + 1/6*s**t = 0 for s.
-3, -1, 0
Let y = -3039 - -3044. Factor 10/11*l**y + 0 + 2/11*l**3 + 4/11*l**2 + 0*l - 16/11*l**4.
2*l**2*(l - 1)**2*(5*l + 2)/11
Let d = -1622 - -1624. Let p = 1603/3 - 494. Find x, given that -p*x**3 - 44/3*x**d - 4/3*x + 0 = 0.
-2/11, 0
Let v = 1 + -6. Let f(m) = 9*m**3 - 15*m**2 + 27*m - 21. Let r(s) = 5*s**3 - 7*s**2 + 13*s - 11. Let t(l) = v*r(l) + 3*f(l). Find j such that t(j) = 0.
1, 2
Factor -38*n**2 - 119*n + 3*n + 102*n**2 - 60*n**2.
4*n*(n - 29)
Let q(p) be the first derivative of -5*p**4/4 - 5*p**3/3 + 5*p**2 + 203. Factor q(h).
-5*h*(h - 1)*(h + 2)
Let l(g) = -5*g**2 - 5*g - 4. Let i be l(-4). Let p = -64 - i. Suppose 2/7*t**2 + 4/7*t 