*2 = 0 for o.
-1/4, 0
Let j = -191 - -191. Let r(x) be the third derivative of -1/90*x**5 + 0 + 2/9*x**3 - 1/36*x**4 + j*x - 2*x**2. Determine p so that r(p) = 0.
-2, 1
Let y(c) be the second derivative of -c**7/21 - 2*c**6/9 - 13*c**5/90 + 10*c**4/27 - 4*c**3/27 + 19*c. Factor y(b).
-2*b*(b + 2)**2*(3*b - 1)**2/9
Let x(l) be the first derivative of 0*l - 5/24*l**4 + 0*l**2 + 11/3*l**3 - 1/8*l**5 - 1/36*l**6 - 2. Let s(m) be the third derivative of x(m). Factor s(h).
-5*(h + 1)*(2*h + 1)
Solve 1/5*s**3 + 207/5*s**2 + 14283/5*s + 328509/5 = 0 for s.
-69
Let h(k) be the second derivative of -k**8/2240 - 5*k**4/6 - 6*k. Let n(x) be the third derivative of h(x). Factor n(g).
-3*g**3
Factor 4*n + 46/5*n**2 + 0 - 2*n**3.
-2*n*(n - 5)*(5*n + 2)/5
Suppose 5*b - 5*f - 5 = 40, -b + 4*f - 6 = 0. Suppose -m + b = 6*m. Solve -1/2*x + 1/2*x**m + 9/2*x**3 + 2*x**5 + 11/2*x**4 + 0 = 0.
-1, 0, 1/4
Let k(h) be the first derivative of 1/10*h - 1/30*h**3 + 11 + 0*h**2. Factor k(s).
-(s - 1)*(s + 1)/10
Let c = -19 + 28. Suppose 0 = 5*g - c*g + 16. Factor 4*i**2 - g - i**2 - 3*i - 2.
3*(i - 2)*(i + 1)
Suppose -2*d = -5*t - 269, 3*d - t + 239 = 5*d. Let l = d + -119. Factor 0 + 1/3*i**l + 4/3*i - 4/3*i**2.
i*(i - 2)**2/3
Solve 2/3*k**5 + 9826/3*k**2 + 0 + 0*k + 34*k**4 + 578*k**3 = 0.
-17, 0
Let s(h) = -h**2 + 52*h + 4802. Let p be s(100). Factor 2/9*w**3 + 16/3*w + 22/9*w**p - 8.
2*(w - 1)*(w + 6)**2/9
Let r(x) be the first derivative of -x**6/24 + x**5/20 + x**4/2 - x**3 - 24. Determine s so that r(s) = 0.
-3, 0, 2
Let u be (-6)/(1*4/(-36)). Determine p, given that 49*p**2 - 10*p + 3*p**3 - u*p**2 + 2*p**3 = 0.
-1, 0, 2
Let m(d) be the third derivative of d**6/900 - 8*d**5/225 + 77*d**4/180 - 98*d**3/45 - 108*d**2. Factor m(s).
2*(s - 7)**2*(s - 2)/15
Let j(z) be the first derivative of z**7/840 + z**6/72 + z**5/40 - 3*z**4/8 + 26*z**3/3 - 22. Let y(d) be the third derivative of j(d). Factor y(u).
(u - 1)*(u + 3)**2
Let l be (-2)/(-12) + 5/(0 + -30). Let j(v) be the second derivative of -5/8*v**4 + 0*v**2 + l - 6*v - 1/2*v**3. Factor j(y).
-3*y*(5*y + 2)/2
Let n(m) be the third derivative of -m**6/40 + 33*m**5/20 + 69*m**4/8 + 35*m**3/2 + 17*m**2 + 3. Factor n(s).
-3*(s - 35)*(s + 1)**2
Let j(u) be the third derivative of u**7/210 + u**6/8 + 13*u**5/20 + 37*u**4/24 + 2*u**3 - 5*u**2. Find g such that j(g) = 0.
-12, -1
Suppose -3*i - 7*i + 6*i = 2*i. Factor i + 3/8*t**2 - 3/4*t.
3*t*(t - 2)/8
Let a(k) be the second derivative of k**7/126 + 13*k**6/90 + 19*k**5/20 + 103*k**4/36 + 41*k**3/9 + 4*k**2 + 213*k. Solve a(f) = 0 for f.
-6, -4, -1
Let g(d) be the second derivative of 0 - 8*d + 0*d**2 + 2/3*d**3 + 0*d**6 + 0*d**4 + 2/21*d**7 - 2/5*d**5. Factor g(z).
4*z*(z - 1)**2*(z + 1)**2
Let w = -236/43 + 198283/36120. Let l(u) be the third derivative of 0*u**3 + 0*u**4 + 0*u - u**2 - 1/210*u**5 + 0 - w*u**6. Factor l(t).
-t**2*(t + 2)/7
Suppose 4*v - 5*v - 4*g + 3 = 0, -2*v - 2*g = -12. Factor 5*n**5 + 10*n**3 - 10*n**2 + 19*n**4 - 16*n**4 - 15*n + v*n**4 - 5 + 5*n**4.
5*(n - 1)*(n + 1)**4
Let x = -4482 + 4482. Factor -5*g + x - 1/2*g**2.
-g*(g + 10)/2
Suppose -161*s = -71*s. Factor s + 2/9*z**2 + 1/9*z + 1/9*z**3.
z*(z + 1)**2/9
Let c be 8/40 - (-218)/10. Suppose 4*p - 2 = -0*p + 2*m, p - 5*m = -c. Suppose -5*w**p + 6*w**3 + 2*w + 2*w + 4*w**2 = 0. What is w?
-2, 0
Let o(c) be the third derivative of 0 + 1/15*c**5 - 1/3*c**4 - 5*c**2 + 0*c - 2*c**3. Factor o(n).
4*(n - 3)*(n + 1)
Let j be (3*(-4)/16)/((-172)/32 + 5). Find v such that 3/2*v**3 + 0 + 3*v - 9/2*v**j = 0.
0, 1, 2
Factor -405*y + 6*y - 3*y**3 + 160*y**2 + 44*y**2 + 119 + 79.
-3*(y - 66)*(y - 1)**2
Let j(x) be the first derivative of -2*x**5/5 + 5*x**4/2 - 4*x**3 - 4*x**2 + 16*x + 220. Factor j(i).
-2*(i - 2)**3*(i + 1)
Let h be (2*-11)/(6/(-18)). Let 184*a**3 + 35*a**5 + h*a**5 - 8*a**5 + 16*a - 128*a**2 + 288*a**4 - 12*a**5 = 0. Calculate a.
-2, 0, 2/9
Let y be (-3)/5*(-25)/5. Suppose -3*o = -5*k - 58, y = -2*k - 1. Find j, given that 2*j - o*j**3 - j**2 + 2*j**4 - 3*j**2 + 8*j**5 + 6*j + 1 + 1 = 0.
-1, -1/4, 1
Determine w, given that -10/3*w**4 + 0 - 4/3*w - 6*w**3 - 2/3*w**5 - 14/3*w**2 = 0.
-2, -1, 0
Suppose -6 = -5*b + 2*b. Factor -4*z + 7*z**2 - 5 - 9*z**3 + 5 + 5*z**b.
-z*(3*z - 2)**2
Suppose -21 = -4*q + 3*n, 0 = -3*q + 3*n + 19 - 1. Factor 9*u + u - 10*u + 3*u**q + 9*u**4.
3*u**3*(3*u + 1)
Let f(u) = u**3 - 15*u**2 - 17*u - 10. Let r be f(16). Let s be -3 - (-3)/((-18)/r). Factor -s*i**4 + 1/3*i + 1/3*i**5 - 4/3*i**2 + 2*i**3 + 0.
i*(i - 1)**4/3
Factor -1/2*w + 2/3*w**2 - 3 + 1/6*w**3.
(w - 2)*(w + 3)**2/6
Find y, given that -28369*y**3 + 12*y**5 - 84*y**2 - 1 + 241*y**4 + 104*y**4 + 1 + 28618*y**3 = 0.
-28, -1, 0, 1/4
Solve 5*s**2 - 633 + 578 - 18*s + 68*s = 0.
-11, 1
Suppose 7*d - 47 - 16 = 0. Let -3*a**2 + d*a + 6*a - 20*a - 2*a**2 = 0. Calculate a.
-1, 0
Let f(h) = -h**2 + h + 1. Let p(k) = 35*k**3 + 134*k**2 + 61*k - 34. Let x(j) = -4*f(j) - p(j). Factor x(q).
-5*(q + 1)*(q + 3)*(7*q - 2)
Let r = -18 + 29. What is y in 12*y + 28*y**3 - 14*y**3 + 15*y**2 - r*y**3 = 0?
-4, -1, 0
Let g = 14 + -9. Factor 14*d - d**2 - g*d - 5*d.
-d*(d - 4)
Solve 170/13*l**3 - 300/13*l**2 + 2/13*l**5 + 432/13 - 72/13*l - 32/13*l**4 = 0.
-1, 2, 3, 6
Let r(v) be the second derivative of -v**6/50 - 3*v**5/50 - v**4/20 + 4*v - 12. Factor r(q).
-3*q**2*(q + 1)**2/5
Let a(i) be the second derivative of i**4/6 - 126*i**3 + 35721*i**2 - 166*i. What is q in a(q) = 0?
189
Let f(m) = -9*m**2 + 12*m + 27. Let p(c) = 28*c**2 - 37*c - 78. Let b(s) = 8*f(s) + 3*p(s). Factor b(d).
3*(d - 2)*(4*d + 3)
Let t be -2*25/10 + 9. Let x(n) be the third derivative of -1/270*n**6 + 0 + 0*n + 1/270*n**5 + 1/945*n**7 + 0*n**t + 2*n**2 + 0*n**3. Solve x(v) = 0.
0, 1
Let g(l) be the third derivative of -3*l**8/224 - l**7/10 - 3*l**6/10 - 9*l**5/20 - 5*l**4/16 - l**2 - 7*l. Let g(w) = 0. Calculate w.
-5/3, -1, 0
Suppose -34*z**3 + 96/5*z**4 - 2*z**5 - 484/5*z**2 + 80 + 168*z = 0. What is z?
-2, -2/5, 2, 5
Let h be ((-10)/6)/((-15)/42) + -2 + -2. Suppose -2/3*d - 4/3 - h*d**4 + 2/3*d**3 + 2*d**2 = 0. Calculate d.
-1, 1, 2
Solve -73*l**4 + 216*l**2 - 23*l**4 - 172*l + 45 - 21 - 25*l**5 + 380*l**3 - 39*l**5 = 0 for l.
-3, -1, 1/4, 2
Suppose -2*b = -35 + 5. Let q be 10/12 + b/(-90). Find c such that 4/3*c - 2/3*c**4 - 2*c**3 + 2/3*c**2 + q*c**5 + 0 = 0.
-1, 0, 1, 2
Let p(r) be the second derivative of -4*r**2 - 1/2*r**4 + 0 - 12*r + 4*r**3 - 1/2*r**5. Factor p(h).
-2*(h - 1)*(h + 2)*(5*h - 2)
Let x(z) be the third derivative of 1/15*z**4 - 1/5*z**5 + 0*z**3 - z**2 + 0*z + 0. Factor x(g).
-4*g*(15*g - 2)/5
Let r(l) be the third derivative of -l**8/2240 - l**7/280 - l**6/120 - l**4/6 - 30*l**2. Let u(o) be the second derivative of r(o). Factor u(v).
-3*v*(v + 1)*(v + 2)
Let q(g) = -2*g**2 - 109*g - 1468. Let x be q(-30). Determine l so that 12/5*l**x - 8/5*l + 2/5*l**4 - 8/5*l**3 + 2/5 = 0.
1
Let j = 12 + -9. Solve -2*h**2 - 28*h + 3*h**3 + 28*h - h**j = 0 for h.
0, 1
Let q be 10 + 116*17/(-204). Factor -4/3*o**2 - q*o**3 - 2/3 - 5/3*o.
-(o + 1)**2*(o + 2)/3
Let w(r) be the second derivative of r**6/15 + r**5/5 - 2*r**3/3 - r**2 - 16*r + 5. What is v in w(v) = 0?
-1, 1
Suppose 2450*q - 2447*q - 18 = 0. Let g(w) be the first derivative of -1/6*w**2 + 0*w**5 + 1/6*w**4 + 0*w**3 + 0*w - 1/18*w**q - 1. Factor g(c).
-c*(c - 1)**2*(c + 1)**2/3
Let g(d) be the second derivative of -d**6/20 - 9*d**5/40 + d**4/2 + 3*d**3 + 2*d - 17. Suppose g(a) = 0. Calculate a.
-3, -2, 0, 2
Let s(i) be the third derivative of i**8/168 - 2*i**7/35 + i**6/15 + 4*i**5/5 - 8*i**4/3 - 11*i**2 - 27. Factor s(b).
2*b*(b - 4)*(b - 2)**2*(b + 2)
Let g(y) = -5*y**3 + 38*y**2 + 67*y + 36. Let v(h) = h**3 - h**2 - h - 1. Let w(s) = -5*g(s) - 30*v(s). Let w(t) = 0. Calculate t.
-30, -1
Let v(d) = d**2 + 2*d - 25. Let y be v(-11). Find h such that 73*h**2 - y*h**2 + h**4 + h**3 - h**5 - 3*h + 3*h = 0.
-1, 0, 1
Suppose -20 = u - 3*m - 4, 5*u = 3*m - 56. Let h = -6 - u. Determine d, given that -3*d**2 - 24*d**3 + d**4 + 2*d**h + 24*d**3 = 0.
-1, 0, 1
Suppose 0 = -v - 0 + 5. Let c be 45/3*4/v. Factor -j**2 + 19*j - 16*j + 7*j**2 + c*j**4 - 21*j**3.
3*j*(j - 1)**2*(4*j + 1)
Let h(i) be the first derivative of 363*i**5/5 + 330*i**4 + 312*i**3 - 240*i**2 + 48*i + 47. Solve h(f) = 0 for f.
