06628/63 + -12755/9. Let w = l + -275. Solve 2/7*a + 0 - w*a**2 = 0.
0, 1
Let c(a) = -8*a - 44. Let h be c(-6). Let 2*f**2 - 11*f**2 + 9*f**2 + h*f + f**2 + 3 = 0. Calculate f.
-3, -1
Suppose k + 912 = -3*k. Let v = -911/4 - k. Suppose 5/4*g + 1/4*g**2 - v*g**3 + 3/4 = 0. Calculate g.
-1, 3
Let m = 13 - -40. Let g = 55 - m. Factor 0*z**g + 2/7*z + 0*z**4 + 0 + 2/7*z**5 - 4/7*z**3.
2*z*(z - 1)**2*(z + 1)**2/7
Let l be (3/2)/((-17)/(-238)). Factor 320*f + 722*f**2 + 184*f**4 - l + 16*f**5 + 63 + 298*f**3 + 8 + 354*f**3.
2*(f + 5)**2*(2*f + 1)**3
Let d(h) = -3*h**2 + h + 1. Let q(s) = 11*s**2 - 32*s + 11. Let k(p) = 3*d(p) + q(p). Factor k(g).
(g - 14)*(2*g - 1)
Let m(h) be the second derivative of 8/3*h**3 + 0 + 0*h**2 + 1/20*h**5 - 31*h + 2/3*h**4. Factor m(w).
w*(w + 4)**2
Factor 6*a - 24 - 2*a**2 + 4 + 56.
-2*(a - 6)*(a + 3)
Let g(a) = 9*a**5 + a**4 - 9*a**3 + 33*a**2 - 17. Let j(l) = l**5 - l**3 + 4*l**2 - 2. Let v(t) = -6*g(t) + 51*j(t). What is o in v(o) = 0?
-2, -1, 0, 1
Find y, given that 3/7*y**3 - 9408 - 36*y**2 + 1008*y = 0.
28
Let c(r) be the second derivative of 3/5*r**2 + 1/10*r**3 - 1/20*r**4 - 15*r + 0. Factor c(n).
-3*(n - 2)*(n + 1)/5
Let j(b) be the third derivative of -b**6/1140 - 2*b**5/285 + 37*b**4/228 + 40*b**3/57 + 363*b**2 + b. Solve j(s) = 0.
-8, -1, 5
Suppose 2*u = -y + 3 - 1, 0 = -2*u - 2*y + 2. Determine p so that p**2 + 1/4*p**3 - u - 1/4*p = 0.
-4, -1, 1
Let v(c) be the second derivative of 0 + 3/2*c**3 - 1/5*c**5 + 14*c + 1/4*c**4 + c**2. Factor v(p).
-(p - 2)*(p + 1)*(4*p + 1)
Let q(r) be the second derivative of -r**7/42 + 7*r**5/20 + r**4/6 - 2*r**3 - 4*r**2 - 149*r. Let q(n) = 0. Calculate n.
-2, -1, 2
Let j(v) be the third derivative of 30*v**7/7 + 13*v**6 + 109*v**5/15 - 26*v**4/3 + 8*v**3/3 + 120*v**2. Factor j(n).
4*(n + 1)**2*(15*n - 2)**2
Let f(x) be the second derivative of x**6/24 + x**5/5 + 3*x**4/8 + x**3/3 - 8*x**2 - 7*x. Let s(y) be the first derivative of f(y). Factor s(i).
(i + 1)**2*(5*i + 2)
Let s be (2 - 116/56)/((-13)/26). Solve 6/7*k - 9/7 - s*k**2 = 0.
3
Let m(a) be the second derivative of -a**7/120 - 3*a**6/80 - a**5/20 + 7*a**4/3 + 28*a. Let u(v) be the third derivative of m(v). Suppose u(c) = 0. Calculate c.
-1, -2/7
Suppose -525*x + 537*x - 36 = 0. Let u(s) be the third derivative of 0*s + 1/132*s**4 - s**2 + 1/330*s**5 - 2/33*s**x + 0. Factor u(t).
2*(t - 1)*(t + 2)/11
Let n(h) be the first derivative of -4/9*h**2 + 0*h - 26 - 8/27*h**3 - 1/18*h**4. Factor n(l).
-2*l*(l + 2)**2/9
Let s(x) be the second derivative of x**4/78 + 386*x**3/39 + 37249*x**2/13 - 4*x - 10. Factor s(q).
2*(q + 193)**2/13
Let h be (3 + -2 + -58 + 7)*-2. What is s in 16*s**2 + 292*s**3 + 342*s**2 - 54*s**2 + 28*s**3 + 64*s - h*s**4 = 0?
-2/5, 0, 4
Let o be 12 - 1 - (53 - 42). Let v be -1 - -2*(-2)/(-3). Suppose o*g - 1/3 + v*g**2 = 0. Calculate g.
-1, 1
What is m in -6*m**3 - 368*m**2 - 5*m + 21 + 29*m + 329*m**2 = 0?
-7, -1/2, 1
Solve -78 + 84*i + 3/2*i**3 - 51/2*i**2 = 0 for i.
2, 13
Find g such that -144*g**4 + 32*g**2 - 13*g**5 - 66*g**3 + 178*g**3 + 136*g**4 - 15*g**5 = 0.
-2, -2/7, 0, 2
Let h(m) = m**2 + 29*m + 140. Let w be h(-6). Let l(b) be the first derivative of -16/15*b**3 + 3/10*b**4 + 13/15*b**2 + w - 4/15*b. Factor l(x).
2*(x - 2)*(3*x - 1)**2/15
Suppose b + 62 = -5*a, -a - 15 + 13 = 0. Let d = b + 57. Solve 36/7*l**3 + 48/7*l**4 + 8/7*l**2 + 0*l + 20/7*l**d + 0 = 0 for l.
-1, -2/5, 0
Determine o, given that 0 + 0*o**2 - 18/5*o**3 + 2/5*o**4 + 216/5*o = 0.
-3, 0, 6
What is o in -2*o**4 + 448/5*o - 128*o**2 + 0 + 204/5*o**3 - 2/5*o**5 = 0?
-14, 0, 1, 4
Let d(x) be the first derivative of 2*x**5/5 - 5*x**4/2 - 2*x**3/3 + 5*x**2 - 71. Let d(i) = 0. What is i?
-1, 0, 1, 5
Let a be 5 - 6 - (-2 - 1). Let x(q) be the third derivative of 5/48*q**4 + 0*q - 1/6*q**3 - 1/30*q**5 - 4*q**a + 1/240*q**6 + 0. Let x(g) = 0. Calculate g.
1, 2
Let b(q) be the second derivative of -7*q - 3*q**2 + 0 + 0*q**3 - 1/24*q**4 + 1/240*q**5. Let l(t) be the first derivative of b(t). What is a in l(a) = 0?
0, 4
Let y(j) be the first derivative of -4/3*j - 13 - 4/9*j**3 + 5/3*j**2. Solve y(v) = 0 for v.
1/2, 2
Solve -144/5*d + 1728/5 + 3/5*d**2 = 0.
24
Let t(k) be the second derivative of -k**5/100 - 7*k**4/60 - 7*k**3/30 + 3*k**2/2 + 464*k. Factor t(f).
-(f - 1)*(f + 3)*(f + 5)/5
Let s(c) be the first derivative of -c**5 + 5*c**4 + 150*c**3 + 810*c**2 + 1755*c - 86. Solve s(h) = 0.
-3, 13
Let m(s) be the second derivative of -1/4*s**5 - 10*s**2 + 5/12*s**4 + 61*s + 0 + 10/3*s**3. Factor m(k).
-5*(k - 2)*(k - 1)*(k + 2)
Suppose -p = -0*p. Suppose -3*j + 5*j + 3*q - 15 = p, -5*j + 3*q = -6. Determine b, given that -2*b + b**j + 3*b**2 - 4*b**2 + 4*b**2 - 4*b**2 = 0.
-1, 0, 2
Let k(v) be the first derivative of 0*v - 6 + 1/20*v**4 - 1/30*v**3 - 1/30*v**6 + 0*v**2 + 1/50*v**5. Determine w, given that k(w) = 0.
-1, 0, 1/2, 1
Let j = -9 - -12. Let a = j - 1. Factor 4*m + m**3 + 6*m**a + 9*m**3 - 8*m**3.
2*m*(m + 1)*(m + 2)
Let l(z) be the second derivative of z**9/1008 - z**8/140 + z**7/56 - z**6/60 + z**3 + z. Let j(f) be the second derivative of l(f). Find y such that j(y) = 0.
0, 1, 2
Let i be (14 - 203/14) + (-8)/(-12). Factor -i*y**3 + 0 + 2/3*y**2 - 2/3*y.
-y*(y - 2)**2/6
Let c(s) = -s**3 + 5*s**2 + 1. Let z be c(5). Let b be 1 - z*(-3)/1. Factor 9*o**2 - 3*o**2 - 3*o**b - 6 + 3 + 0.
-3*(o - 1)**2*(o + 1)**2
Let w(o) = -3*o - 6. Let t be w(-4). Factor -t + 2 - 9*a + 6*a**2 - 2.
3*(a - 2)*(2*a + 1)
Suppose -2 = 2*z + 2*t, -t + 4*t = -15. Suppose 0 - 8 + 10*s + 5*s**z + 4*s**2 - 12*s**3 - s**4 + 2*s = 0. Calculate s.
-1, 1, 2
Suppose 0 = -123*j + 87*j. Let w(i) be the second derivative of 1/20*i**4 + 0*i**5 - 1/150*i**6 + 0 + j*i**2 + 10*i + 1/15*i**3. Solve w(d) = 0.
-1, 0, 2
Let p be (-42)/3 + (-144)/(-18) - -8. Find q, given that 3*q - 17/4*q**3 - 3/4*q**4 + 5/4*q**5 - 1/4*q**p + 1 = 0.
-1, -2/5, 1, 2
Let q(c) be the third derivative of -c**8/20160 + c**7/840 - c**6/80 + c**5/2 - 4*c**2. Let n(g) be the third derivative of q(g). Factor n(o).
-(o - 3)**2
Factor -33*k - 214*k**2 + 109*k**2 + 102*k**2 - 54.
-3*(k + 2)*(k + 9)
Let r(j) = j**3 - 14*j**2 + 12*j + 10. Let u be r(13). Let c be 68/24 - -1*u/(-6). Suppose 8/3*a**2 - 2/3*a**3 + 4/3 - c*a = 0. Calculate a.
1, 2
Suppose -6*o - 245 = -269. Determine w so that -1/4*w**o + 0 + 1/4*w**2 - 1/4*w**3 + 1/4*w**5 + 0*w = 0.
-1, 0, 1
Suppose -2*v = -5*i + 4, 0 = 2*v - 12*i + 11*i - 4. Let d(x) be the first derivative of -x**2 - v*x + 1/3*x**3 + 3. Let d(n) = 0. What is n?
-1, 3
Let z be ((-70)/(-1075))/(-2*2/(-266)). Let a = z - -3/43. What is i in -4/5 - 14/5*i**3 - a*i - 32/5*i**2 = 0?
-1, -2/7
Let w(d) be the third derivative of -1/720*d**6 + 1/36*d**3 + 0 + 6*d**2 - 1/360*d**5 + 0*d + 1/144*d**4. Factor w(n).
-(n - 1)*(n + 1)**2/6
Suppose -45 = -u - 13. Let s(k) = k**2 - 35*k + 98. Let n be s(u). Factor 2/5*p**n - 4/5 - 2/5*p.
2*(p - 2)*(p + 1)/5
Let m(d) be the third derivative of -d**6/360 + 2*d**5/15 - 8*d**4/3 - d**3/3 + 25*d**2. Let u(n) be the first derivative of m(n). What is x in u(x) = 0?
8
Let w(u) be the third derivative of u**8/16 - 6*u**7/35 - 53*u**6/40 + 63*u**5/10 - 11*u**4/2 - 12*u**3 + 2*u**2 - 14*u. Find c such that w(c) = 0.
-3, -2/7, 1, 2
Let d(i) be the first derivative of 2*i**3/3 - 23*i**2 - 48*i + 198. Find n, given that d(n) = 0.
-1, 24
Let b(w) be the first derivative of -w**7/1260 + 7*w**5/180 + w**4/6 + 16*w**3 - 27. Let a(k) be the third derivative of b(k). Factor a(t).
-2*(t - 3)*(t + 1)*(t + 2)/3
Let s(d) be the second derivative of 3*d**5/20 + 5*d**4/2 - 11*d**3/2 - 13*d - 1. Factor s(p).
3*p*(p - 1)*(p + 11)
Let n = 18 - 14. Suppose -3*y = -y + 3*q - 12, -5*q + 22 = n*y. What is s in -4*s**3 + s**y - 3*s**2 + 3*s**4 + 24 + 3*s - 24 = 0?
-1, 0, 1
Let s(p) = -14*p**4 - 30*p**3 + 27*p**2 + 17*p + 17. Let j(u) = 5*u**4 + 10*u**3 - 9*u**2 - 6*u - 6. Let c(n) = 17*j(n) + 6*s(n). Determine f so that c(f) = 0.
0, 1, 9
Factor -238*c**3 + 648 + 96*c + 12*c + 235*c**3 - 18*c**2.
-3*(c - 6)*(c + 6)**2
Suppose -9*k + 11 = -16. Factor -2*w + 2*w - 3 + k*w**3 + 8*w - 9*w**2 + w.
3*(w - 1)**3
Find v, given that 0 - 128*v**2 + 0*v - 112*v**3 - 1/2*v**5 + 31/2*v**4 = 0.
-1, 0, 16
Let y be (3*(1 + -3))/(-2). Factor -2*d + 2*d**y + 15*d - 6*d - 8*d - d**5.
