 -4*x - 3 = -x. Let l(r) be the third derivative of 1/40*r**4 + 0*r**3 - 3*r**2 + 0*r**w + 0 - 1/200*r**6 + 0*r. Factor l(z).
-3*z*(z - 1)*(z + 1)/5
Factor 91 - 9 + 3*c**2 - 298 + 78*c - 5*c**2.
-2*(c - 36)*(c - 3)
Let r(z) = -3*z + 2*z - z**2 + 4*z**2 - z**2. Let o be r(-1). Find i such that 4*i + 6*i + o*i**2 - i - 3*i = 0.
-2, 0
Let b(r) be the first derivative of 3*r**4 + 104*r**3/3 - 18*r**2 + 27. Factor b(c).
4*c*(c + 9)*(3*c - 1)
Solve -w**4 + 267*w**2 + 703*w**3 - 269*w**2 - 700*w**3 = 0 for w.
0, 1, 2
Factor 92/7*d + 4/7*d**2 + 64.
4*(d + 7)*(d + 16)/7
Let z be (-3384)/(-16) + 2 + (-6)/(-2). Let w = 218 - z. Factor -3/2*l**2 + 3/2*l**3 - 3/2*l + w.
3*(l - 1)**2*(l + 1)/2
Suppose 27 = 14*q - 5*q. Let a be 44/8 + (q/(-2) - 0). Factor -6/7*b + 6/7*b**3 + 3/7 + 0*b**2 - 3/7*b**a.
-3*(b - 1)**3*(b + 1)/7
Factor -22*i**2 + 20 - 22*i**2 + 335*i + 280 + 14*i**2.
-5*(i - 12)*(6*i + 5)
Let n be 8*8/416 - (-3)/(-104). Factor 1/8*a**2 - 1/8*a**3 - n + 1/8*a.
-(a - 1)**2*(a + 1)/8
Let h(q) = -q**2 + 2. Let m(x) = -44*x**2 + 176*x + 84. Let p(y) = 24*h(y) - m(y). Find k such that p(k) = 0.
-1/5, 9
Let p(b) be the first derivative of -b**4/16 + 7*b**2/8 - 3*b/2 + 77. Factor p(t).
-(t - 2)*(t - 1)*(t + 3)/4
Let l = 1531/45 - 302/9. Let y = -4/15 + l. Suppose 1/5*s + 2/5 - y*s**2 = 0. Calculate s.
-1, 2
Let l(m) be the first derivative of 2*m**6/9 + m**5/5 - 25*m**4/12 - 10*m**3/9 + 6*m**2 - 8*m/3 + 189. Solve l(q) = 0.
-2, 1/4, 1, 2
Let s(k) be the third derivative of -k**6/24 - k**5/12 + 5*k**4/3 + 10*k**3 + 40*k**2. Suppose s(d) = 0. What is d?
-2, 3
Let i(q) be the second derivative of q**6/60 - 3*q**5/40 - q**4/24 + q**3/4 - 717*q. Suppose i(x) = 0. Calculate x.
-1, 0, 1, 3
Let d(q) = -7*q + 58. Let w be d(8). Let g = -3/8 + 5/8. Factor g*v**w + 1/4*v - 1/2.
(v - 1)*(v + 2)/4
Suppose 38*c + 12*c = 0. Let w(r) be the second derivative of 0 + 0*r**2 + 5*r - 1/210*r**7 + c*r**5 - 1/150*r**6 + 0*r**4 + 0*r**3. Factor w(k).
-k**4*(k + 1)/5
Let x(i) be the third derivative of i**6/80 - i**5/16 + i**4/8 + 5*i**3/3 - 23*i**2. Let z(s) be the first derivative of x(s). Find k, given that z(k) = 0.
2/3, 1
Let b be (14/3)/(20/330). Solve 77 + 6*c**2 + 3*c**4 + 9*c**3 - b = 0.
-2, -1, 0
Let l(s) be the first derivative of -24*s**3 - 162*s**2 - 704*s + 1. Let q(w) = 13*w**2 + 59*w + 128. Let c(a) = 5*l(a) + 28*q(a). Factor c(b).
4*(b + 4)**2
Let n(j) = 3025*j**4 - 1990*j**3 + 340*j**2. Let s(h) = 178*h**4 - 117*h**3 + 20*h**2. Let x(z) = -3*n(z) + 50*s(z). Solve x(r) = 0.
0, 2/7, 2/5
Let b = -297 - -301. Let y = -20 + 20. Factor 2*d**2 + y + 4/3*d**b + 1/3*d + 3*d**3.
d*(d + 1)**2*(4*d + 1)/3
Let k = 3/176 + 41/176. Suppose 52*w = 49*w + 12. Determine j, given that 0*j**3 - 3/4*j**2 + k*j**w + 0 + 1/2*j = 0.
-2, 0, 1
Let z(h) be the first derivative of -2*h**3/21 + 8*h**2/7 + 18*h/7 - 65. Suppose z(p) = 0. Calculate p.
-1, 9
Let m(j) be the second derivative of -2*j**7/105 + 2*j**6/15 - 8*j**5/25 + 4*j**4/15 + 33*j. Factor m(a).
-4*a**2*(a - 2)**2*(a - 1)/5
Let s = -3840 + 3843. Determine c, given that -2/3*c + 2/3*c**2 - 1/6*c**s + 0 = 0.
0, 2
Let d(f) be the first derivative of 14 + 15/2*f**2 - 5/3*f**3 + 20*f. Factor d(r).
-5*(r - 4)*(r + 1)
Let i(g) be the third derivative of g**5/140 - 5*g**4/56 + 2*g**3/7 - 217*g**2. Factor i(m).
3*(m - 4)*(m - 1)/7
Let u(c) be the first derivative of -2/11*c**4 + 0*c + 2/55*c**5 - 2/11*c**2 + 10/33*c**3 + 4. Find p, given that u(p) = 0.
0, 1, 2
Suppose 0 = -7*q - 293 - 43. Let b be q/(-252) + 4/42. Factor -2/7*g**2 - b*g**3 + 2/7*g + 2/7.
-2*(g - 1)*(g + 1)**2/7
Let m = 377/588 - -5/196. Let -m*r**2 + 2*r - 4/3 = 0. What is r?
1, 2
Factor -4/7*b - 45/7*b**2 + 60/7 + 1/7*b**4 - 12/7*b**3.
(b - 15)*(b - 1)*(b + 2)**2/7
Factor 4/3*t + 2/9*t**2 + 0.
2*t*(t + 6)/9
Let l(x) be the first derivative of -2/5*x**5 + 0*x**3 + 2*x**2 + 24 - x**4 + 2*x. Factor l(f).
-2*(f - 1)*(f + 1)**3
Let o = -10 + 12. Suppose 3*n = -o*g - 2, -4*n + g + 0*g = -12. Find w such that 3*w**n - 2*w + 3*w**3 + 4*w - 2*w = 0.
-1, 0
What is d in -270 - 5/2*d**3 - 75/2*d**2 - 180*d = 0?
-6, -3
Let 46/7*b + 44/7 + 2/7*b**2 = 0. Calculate b.
-22, -1
Let t(p) = -2*p**3 + 6*p**2 - 12*p + 6. Let w(v) = 5*v**3 - 11*v**2 + 26*v - 13. Let j(f) = 13*t(f) + 6*w(f). Suppose j(u) = 0. Calculate u.
-3, 0
Let o(b) be the third derivative of -b**5/48 - 5*b**4/96 + 5*b**3/4 + 12*b**2 - 2*b. Factor o(a).
-5*(a - 2)*(a + 3)/4
Let x(c) be the third derivative of c**7/945 - c**6/135 - 2*c**5/45 + 8*c**4/27 + 64*c**3/27 + 5*c**2 - 1. Suppose x(n) = 0. Calculate n.
-2, 4
Let r be 6/(-27)*3 - 14/(-3). Factor 347*a**r + 3*a**5 - 341*a**4 - a**2 - 3*a**3 - 5*a**2.
3*a**2*(a - 1)*(a + 1)*(a + 2)
Let g(w) be the third derivative of w**5/75 + 22*w**4/5 + 2904*w**3/5 + 3*w**2 + 15. Factor g(t).
4*(t + 66)**2/5
Factor 1/3*g - 1/6*g**2 + 1/2.
-(g - 3)*(g + 1)/6
Let w(q) be the first derivative of q**9/9072 - q**8/1260 + q**7/504 - q**6/540 - 7*q**3/3 + 12. Let p(m) be the third derivative of w(m). Factor p(l).
l**2*(l - 2)*(l - 1)**2/3
Let v(i) be the first derivative of i**6/20 + 3*i**5/20 + i**4/8 + 7*i - 8. Let k(u) be the first derivative of v(u). What is n in k(n) = 0?
-1, 0
Let l = 7421/4 + -1855. Factor -1/4 - l*z**3 - 3/4*z - 3/4*z**2.
-(z + 1)**3/4
Let b(s) be the first derivative of -5*s**4/4 + 40*s**3/3 + 175*s**2/2 - 1470*s - 31. Factor b(m).
-5*(m - 7)**2*(m + 6)
Let l = -37/60 - -2/3. Let r(o) be the third derivative of o**2 + 1/8*o**4 + 0 + 0*o**3 - l*o**5 + 0*o. Let r(w) = 0. Calculate w.
0, 1
Factor 3*n**2 - 1665 - 9*n + 1665.
3*n*(n - 3)
Suppose c - 7 - 3 = 4*z, -2*z = 5*c - 28. Let s be 4 - 5 - (-4)/1. Factor -c - s*i + i + 3*i + 3*i + 2*i**2.
2*(i - 1)*(i + 3)
Let d(a) = 3*a**2 - 6*a - 6. Let y be d(3). Let v(h) be the second derivative of 1/3*h**2 + 2/45*h**6 + 0 - y*h - 5/18*h**3 - 1/60*h**5 - 1/3*h**4. Factor v(q).
(q - 2)*(q + 1)**2*(4*q - 1)/3
Suppose 3*m - 7 - 5 = -3*n, m + 4*n - 16 = 0. Find l such that -9/5*l + 3/5*l**3 + m*l**2 + 6/5 = 0.
-2, 1
Let f(b) be the third derivative of 3*b**5/20 + 13*b**4/4 + 23*b**3/2 + 124*b**2. Let f(k) = 0. Calculate k.
-23/3, -1
Let v(c) = -2917*c + 2917*c - 2 + 3*c**2. Let m(d) = -d + 1. Let x(t) = 6*m(t) + 3*v(t). Factor x(a).
3*a*(3*a - 2)
Suppose -9 = 8*g - 11*g. Find m such that 2*m**5 - 127*m**5 + g*m**2 + 55*m**3 - 19*m + 150*m**4 - 63*m**2 - m = 0.
-2/5, 0, 1
Let k(w) be the second derivative of 0*w**2 + w + 0 - 1/42*w**3 + 1/84*w**4. Factor k(z).
z*(z - 1)/7
Let a(f) be the third derivative of f**7/840 + f**6/120 + f**5/40 + f**4/24 + 13*f**3/3 - 31*f**2. Let y(g) be the first derivative of a(g). Factor y(j).
(j + 1)**3
Let d be 4*5/10 - 10. Let g be (-70)/(-22) + d/44. Solve -50 - 2*t**2 + 3*t**2 - g*t**2 + 20*t = 0 for t.
5
Suppose 3*n = 2*y + 12, -3*n + 5*y = -0*y - 12. Factor 427 - r**3 - 3*r - n*r**2 - 427.
-r*(r + 1)*(r + 3)
Let f(t) be the third derivative of -t**5/210 + t**4/12 + 8*t**3/21 - 181*t**2. Suppose f(j) = 0. Calculate j.
-1, 8
Let o(v) be the third derivative of 0*v**6 - 12*v**2 + 0*v**4 + 0*v**5 + 0*v - 2/105*v**7 + 0*v**3 + 0. Find q, given that o(q) = 0.
0
Let x = -7121/2 + 3561. Solve 2*d - 2 + x*d**4 - 2*d**3 + 3/2*d**2 = 0.
-1, 1, 2
Suppose -u + 40 = 4*k, 2*k - 5*k + 115 = 5*u. Let j = u + -18. Factor -5*v - v**2 - 8 - v**2 + 4*v**3 + v + 10*v**j.
4*(v - 1)*(v + 1)*(v + 2)
Let b(s) = s**2 + 1. Let u be b(2). Suppose -l + 41 = 3*z - 0*l, 20 = -u*l. Factor -z*i - 9*i + 2*i**2 - 2*i**3 + 24*i.
-2*i**2*(i - 1)
Let m(n) be the third derivative of n**8/2352 - n**7/1470 - n**6/840 + n**5/420 - 5*n**2 - 3*n. Factor m(p).
p**2*(p - 1)**2*(p + 1)/7
Let x(h) = -2*h**2 + h. Let r(d) = -15*d**2 - 9*d - 38. Let a(u) = 5*r(u) - 40*x(u). Solve a(t) = 0.
-2, 19
Let g(w) = 16*w**5 + 326*w**4 + 19490*w**3 + 389200*w**2 + 721098*w + 351232. Let h(p) = -p**5 + p**4 + 13*p. Let q(d) = -g(d) - 14*h(d). Factor q(z).
-2*(z + 1)**2*(z + 56)**3
Let w(k) be the third derivative of 0*k**3 + 0*k - 1/3*k**4 - 10*k**2 - 6/5*k**6 - 17/15*k**5 + 0. Find p such that w(p) = 0.
-1/4, -2/9, 0
Let u(z) be the third derivative of -z**6/24 - 5*z**5/3 - 70*z**4/3 - 160*z**3 + 212*z**2. Factor u(o).
-5*(o + 4)**2*(o + 12)
Let x be 0 + ((-33)/(-21) - 1) - (-468)/455. Suppose -12/5*i**2 - 2/5 + 8/5*i + x*i**3 - 2/5*i**4 = 0. What 