**2 = 0. Calculate l.
-2, -1, 0, 1
Let q be 1328/166 - 140/18. What is o in 2/9*o - 2/9*o**4 - 2/9*o**3 + q*o**2 + 0 = 0?
-1, 0, 1
Factor 26*j - 4*j**2 + 2*j**2 - 64 + 64.
-2*j*(j - 13)
Suppose 0 = 13*k - 6*k - 49. Let c(x) be the first derivative of -k - 2/9*x**3 + 0*x - 1/6*x**4 + 0*x**2. Suppose c(s) = 0. Calculate s.
-1, 0
Suppose 4*p + 20 = 0, -3*c = 2*c - 4*p - 80. Suppose 4*l = 4*j + 9 - 1, -2*j - 2*l + c = 0. Factor 3*s**2 - 2*s**2 + 3*s**2 - j*s**2 - 8.
2*(s - 2)*(s + 2)
Let w(c) be the third derivative of -c**6/280 + c**5/20 - 15*c**4/56 + 9*c**3/14 + 2*c**2 + 97. Factor w(p).
-3*(p - 3)**2*(p - 1)/7
Let o(s) be the second derivative of s**6/45 + 2*s**5/5 + 35*s**4/18 + 8*s**3/3 - 4*s - 4. Find h such that o(h) = 0.
-8, -3, -1, 0
Suppose -7 = -9*t + 38. Suppose 3*v - 7 = -t*z, 7*z = -3*v + 3*z + 8. Solve -2/3*h**v - 10/3*h + 2/3*h**3 + 4/3 + 2*h**2 = 0 for h.
-2, 1
Let l(s) = 13*s**2 + s + 1. Let j(u) = 52*u**2 + 44*u + 9. Let f(a) = 2*j(a) - 14*l(a). Factor f(b).
-2*(b - 1)*(39*b + 2)
Suppose -12*s - 246 = -18*s. Suppose -o = 29 - s. Let -49/2*n**3 - 21/2*n**2 + o*n - 2 = 0. Calculate n.
-1, 2/7
Let s(a) be the first derivative of -a**4/8 - a**3/6 + a**2/2 - 59. Factor s(j).
-j*(j - 1)*(j + 2)/2
Let l(g) be the second derivative of -g**4/84 + 5*g**3/14 + 38*g**2/7 - 225*g + 3. Solve l(b) = 0 for b.
-4, 19
Find g, given that 10/3*g**2 + 16/3 + 44/3*g = 0.
-4, -2/5
Let i be (7/14)/(3/12). Let 125*o**2 + 2*o**3 - i*o**4 - 52*o**3 + 4*o**4 + 3*o**4 = 0. Calculate o.
0, 5
Factor 1/10*q**2 - 111/10*q + 11.
(q - 110)*(q - 1)/10
Let t = -6641828/135 - -49199. Let u = t - 2/27. Factor u - 1/5*f**2 + 0*f.
-(f - 1)*(f + 1)/5
Let u(j) = 4*j - 29. Let m be u(8). Solve 7*a - 52*a**2 + 6*a + 11*a**m + a**3 + 3*a = 0 for a.
0, 1/3, 4
Suppose 2 = 5*x + 3*d - 15, -x + 21 = 5*d. Suppose 4*n - 4 = 0, -s + 3*n = 2 + x. Find u, given that 1/3*u**4 + 2/3*u**3 + 1/3*u**2 + 0 + s*u = 0.
-1, 0
Factor 110/13*c**2 + 0 + 2/13*c**3 + 212/13*c.
2*c*(c + 2)*(c + 53)/13
Let l be 28/(-20) - (-254)/10. Suppose -19 = -5*i + h, -16 = -3*i + 4*h + 9. Factor -15 - 2*n**2 - l*n - i*n**2 + 44*n.
-5*(n - 3)*(n - 1)
Let m(p) be the third derivative of p**6/180 - 7*p**5/90 - 5*p**4/36 + 25*p**3/3 - 89*p**2. Factor m(o).
2*(o - 5)**2*(o + 3)/3
Let f be (-1)/7*(-5 + 3). Let g(d) be the first derivative of 1/21*d**3 + 7 - f*d - 1/14*d**2. Factor g(c).
(c - 2)*(c + 1)/7
Let l(t) = -t**3 - 1. Let b(o) = 4*o**4 - 116*o**3 - 140*o**2 + 20. Let r(z) = -b(z) - 20*l(z). What is u in r(u) = 0?
-1, 0, 35
Let l be (-1)/(-3) + (-5)/((-75)/370). Suppose 3*t + 5*n - l = 0, 2*t - 10 = -3*t - 2*n. Find v, given that t*v + 1 - 1/4*v**2 = 0.
-2, 2
Let q(t) = 17*t**2 - 66*t - 65. Let d(m) = 15*m**2 - 65*m - 65. Let r(x) = 6*d(x) - 5*q(x). Factor r(p).
5*(p - 13)*(p + 1)
Suppose -10 = -3*m + 4*p, 0 = -2*m + 3*p + 2*p + 9. Suppose -m*k = -k - 9. Factor 12*i**3 - 19*i**3 + i**2 + i**4 + k*i**3.
i**2*(i + 1)**2
Let x(q) be the first derivative of 4*q**3/9 - 34*q**2/3 - 521. Suppose x(u) = 0. Calculate u.
0, 17
Let x(c) be the first derivative of -c**6/105 - c**5/35 - c**4/42 - 10*c - 17. Let n(w) be the first derivative of x(w). Factor n(o).
-2*o**2*(o + 1)**2/7
Let p(f) be the first derivative of -5*f**4/4 + 15*f**3 - 60*f**2 + 100*f - 84. Factor p(a).
-5*(a - 5)*(a - 2)**2
Let j(m) be the second derivative of m**7/105 - m**6/60 - m**5/30 + m**4/12 - 9*m**2/2 + 2*m. Let i(r) be the first derivative of j(r). Factor i(c).
2*c*(c - 1)**2*(c + 1)
Let j be (0 + 4/70)*49/84. Let h(p) be the second derivative of 0*p**3 + 0 + 5*p + j*p**4 - 1/5*p**2. Let h(a) = 0. What is a?
-1, 1
Factor 436/13*b + 23762/13 + 2/13*b**2.
2*(b + 109)**2/13
Let o be ((-19)/(-57))/((-3)/(-36)). Let z(j) be the first derivative of -1/12*j**2 + 14 - 1/18*j**3 + 1/30*j**5 + 0*j + 1/24*j**o. What is m in z(m) = 0?
-1, 0, 1
Let o(p) be the second derivative of -5*p**7/42 - 7*p**6/6 - 13*p**5/4 - 5*p**4/12 + 35*p**3/3 + 20*p**2 + 3*p - 123. Find r, given that o(r) = 0.
-4, -2, -1, 1
Let q be 16/(-6)*(-9)/20*(-13000)/(-585). Determine w, given that -22*w**3 - q*w**2 - 2/3*w**5 - 32/3*w - 20/3*w**4 + 0 = 0.
-4, -1, 0
Let x(i) be the first derivative of i**3/3 - 1. Let y(v) = v**3 + 5*v**2. Suppose 25*z + 48 = 23*z. Let q(d) = z*x(d) + 3*y(d). Factor q(s).
3*s**2*(s - 3)
Let p(a) be the third derivative of a**8/2352 - 3*a**7/490 + 4*a**6/105 - 2*a**5/15 + 2*a**4/7 - 8*a**3/21 - 42*a**2. Factor p(o).
(o - 2)**4*(o - 1)/7
Factor 1/2*h**2 + 0 + 1/8*h**5 + 3/4*h**3 + 1/8*h + 1/2*h**4.
h*(h + 1)**4/8
Let t(f) be the third derivative of -f**4/24 - f**3/2 - 5*f**2. Let m be t(-6). Factor 5*h**m - 2*h + 2 + 5*h - 6*h**3.
-(h - 2)*(h + 1)**2
Factor -20/3*w - 16/3 - 4/3*w**2.
-4*(w + 1)*(w + 4)/3
Let l = 726 + -724. Let t(f) be the third derivative of 0*f**4 + 0*f**5 + 0 + 0*f**3 + 1/40*f**6 - 5*f**l + 0*f. Solve t(n) = 0 for n.
0
Let b(l) be the third derivative of -l**8/112 - 3*l**7/70 + l**6/8 + 27*l**5/20 + 4*l**4 + 6*l**3 - 21*l**2 - 4*l. Solve b(a) = 0.
-2, -1, 3
Find u, given that -u + 3*u**3 - 3*u**4 - u**4 - 4*u**5 + 9*u**3 + 9*u + 20*u**2 = 0.
-1, 0, 2
Let n(w) be the first derivative of w**4 + 4*w**3/3 - 8*w**2 - 16*w - 61. Find g, given that n(g) = 0.
-2, -1, 2
Factor 3/5*h**5 - 12/5*h**4 - 6/5*h**2 + 0 + 0*h + 3*h**3.
3*h**2*(h - 2)*(h - 1)**2/5
Let r = -11 - -13. Let t(y) = 67*y + 273. Let d be t(-4). Factor 0*u - r*u**3 + 0*u**2 + 0 + 4/3*u**4 + 2/3*u**d.
2*u**3*(u - 1)*(u + 3)/3
Suppose -3*i - 5 = 1. Let v be (-28)/(-8) - i/(-4). Suppose -5/2*w**2 + 0 + 1/2*w**5 + 1/2*w**4 - 3/2*w**v - w = 0. What is w?
-1, 0, 2
Factor 152 - 141 - m**2 + m + 8*m + m.
-(m - 11)*(m + 1)
Suppose -4 = -223*x + 221*x. Let m(u) be the third derivative of 1/315*u**7 + 0 + 0*u**3 - 1/18*u**4 - 1/90*u**5 - 5*u**x + 0*u + 1/90*u**6. Factor m(d).
2*d*(d - 1)*(d + 1)*(d + 2)/3
Suppose -12*i - 9*i = -84. Let g(c) be the second derivative of 1/10*c**5 - 1/3*c**3 + 8*c + 0 - 1/6*c**i + c**2. Suppose g(r) = 0. Calculate r.
-1, 1
Suppose 29 = -2*u - 3*h + 27, 3*u + 2*h - 2 = 0. Factor 1/4*j**3 - u - j + 1/2*j**2.
(j - 2)*(j + 2)**2/4
Let m be (-2)/(3 - (-28)/(-8)). Suppose -12*z**2 + 2*z**3 + 16*z**4 - 7*z**3 - 4*z**m - 8*z + 13*z**3 = 0. Calculate z.
-1, -2/3, 0, 1
Factor -316 + 13*g**2 - 272*g + 316 - 28*g**2 + 11*g**2.
-4*g*(g + 68)
Let t = -17/40 - -917/40. Factor -27/2 + t*d - 21/2*d**2 + 3/2*d**3.
3*(d - 3)**2*(d - 1)/2
Suppose -34*d + 39*d + 20 = 0, 4*w + 4 = -3*d. Determine v, given that -4/11*v + 6/11 - 2/11*v**w = 0.
-3, 1
Let t = 206 + -203. Let o(m) be the third derivative of -3*m**2 + 0 - 1/12*m**t - 1/8*m**4 + 0*m - 1/24*m**5. Let o(a) = 0. Calculate a.
-1, -1/5
Let l(n) be the third derivative of -n**7/17640 + n**6/504 - 5*n**5/168 - 3*n**4/8 + 9*n**2. Let k(o) be the second derivative of l(o). Factor k(j).
-(j - 5)**2/7
Factor 0*l + 16*l - 29*l - 53*l + 3*l**2 - 114 - 45*l.
3*(l - 38)*(l + 1)
Let n = 2/3205 + 6388/35255. Find v, given that 2/11*v + 4/11*v**2 + 0*v**3 + 0 - n*v**5 - 4/11*v**4 = 0.
-1, 0, 1
Let n(m) be the second derivative of -m**5/30 + 5*m**4/6 - 25*m**3/3 - 9*m**2/2 - 20*m. Let t(u) be the first derivative of n(u). Factor t(s).
-2*(s - 5)**2
Factor -16/3*a - 2/3*a**2 - 8.
-2*(a + 2)*(a + 6)/3
Let v be (4 - (-237)/(-84))*-4 + 1 + 4. Factor 0 - 8/7*s - 8/7*s**2 - v*s**3.
-2*s*(s + 2)**2/7
Let r(c) = c. Let w(i) = -5*i + 1. Let t(z) = 4*r(z) + w(z). Let l(n) = n**2 - 6*n + 4. Let a(m) = -l(m) + 4*t(m). Factor a(g).
-g*(g - 2)
Let q(o) be the third derivative of o**5/30 + 33*o**4/8 - 25*o**3/3 - 310*o**2. Solve q(s) = 0.
-50, 1/2
Let x(y) = 5*y**3 - 15*y**2 + 45*y - 5. Let d(r) = r. Let k(z) = z**2 + 4*z - 2. Let w be k(-8). Let a(c) = w*d(c) - x(c). Factor a(m).
-5*(m - 1)**3
Let d = -580 - -2353/4. Let l = 2665/2 + -1328. Factor d*v + 9/2 + 3/4*v**3 + l*v**2.
3*(v + 1)*(v + 2)*(v + 3)/4
Let x = -25/36 - -1/36. Let u = x - -7/6. Solve 5/4*l + 3/4*l**2 - u = 0.
-2, 1/3
Factor 93/2*g**3 + 3/2*g**5 + 60 - 39*g**2 - 15*g**4 - 42*g.
3*(g - 5)*(g - 2)**3*(g + 1)/2
Let n(b) be the third derivative of -b**7/12600 + b**6/1800 + b**5/200 - 7*b**4/6 + 3*b**2. Let l(q) be the second derivative of n(q). Let l(h) = 0. What is h?
-1, 3
Suppose -16*v + 20*v = 60. Let d be ((-2)/6)/(v/(-10)). Determine l, given that -2/9*l**2 - d*l**3 + 2/9*l + 