+ 75*c - 24.
-3*(c - 8)*(c - 1)**3
Let x(p) = p**3 - 7*p**2 - 5*p - 22. Let n be x(8). Factor 15 + 0*m**n - 35*m - 14*m**2 - 17*m**2 + m**2.
-5*(2*m + 3)*(3*m - 1)
Let k(a) = -a**3 - 6*a**2 + 14*a - 16. Suppose 3*j + m + 14 = -m, 5*m = 5*j + 65. Let n be k(j). Find y such that -10/3*y**2 + 5/3*y + n + 5/3*y**3 = 0.
0, 1
Let c(y) = 5*y**4 + 3*y**3 + y**2 - 3. Let p be 6 + -2 + (-2 - -3)*-1. Let u(l) = l**5 + l**4 + l**2 - 1. Let m(x) = p*u(x) - c(x). Factor m(a).
a**2*(a - 1)*(a + 1)*(3*a - 2)
Let d(c) be the third derivative of c**5/30 + 5*c**4/2 + 27*c**3 + 180*c**2. Factor d(j).
2*(j + 3)*(j + 27)
Let k(o) be the first derivative of 6 - 10*o**2 - 15*o - 5/3*o**3. Find r such that k(r) = 0.
-3, -1
Factor -2/5*y**4 + 2/5*y - 4/5*y**3 + 2/5*y**5 + 4/5*y**2 - 2/5.
2*(y - 1)**3*(y + 1)**2/5
Let m(z) be the third derivative of 1/42*z**7 + 0*z**3 + 1/24*z**6 + 0*z + 0*z**5 - 3*z**2 + 0 + 0*z**4. Solve m(d) = 0 for d.
-1, 0
Suppose 56/15*y + 2/5*y**4 - 58/15*y**3 + 8 + 2/15*y**5 - 42/5*y**2 = 0. What is y?
-6, -2, -1, 1, 5
Let x = -46 - -62. Find c such that -c**2 - 5*c**2 + 2*c**2 + 3 - x*c + 17 = 0.
-5, 1
Let u be ((-576)/120)/(-12) + 8/5. Factor u - 1/3*w**2 - 1/3*w.
-(w - 2)*(w + 3)/3
Let o(n) be the third derivative of -1/80*n**5 - 1/840*n**7 + 1/6*n**3 + 0 - 5/96*n**4 + 32*n**2 + 0*n + 1/96*n**6. Let o(h) = 0. What is h?
-1, 1, 4
Let d be (21/42)/((-2)/(-20)). Suppose 2*b = -d*c + 25, 2*b - 2 - 19 = -c. Factor -6*g**3 - 5*g - 4*g**4 + 2*g**2 + 2 + b*g**3 + 3*g**5 - 2*g**5.
(g - 2)*(g - 1)**3*(g + 1)
Let n(q) be the second derivative of q**8/1120 + q**7/1260 - q**6/120 - q**5/60 + q**4/3 + 7*q. Let o(t) be the third derivative of n(t). Factor o(k).
2*(k - 1)*(k + 1)*(3*k + 1)
Let s = 18558 - 93326/5. Let c = -107 - s. Factor 1/5*l**3 - 2/5 + c*l**4 - l - 3/5*l**2.
(l - 2)*(l + 1)**3/5
Let d(y) = -6*y - 37. Let a be d(-7). Suppose 0*p = -3*t + p + 8, 4*t + a*p = 17. What is i in 4/5*i + 8/5*i**2 - 4/5*i**4 + 4/5*i**5 - 8/5*i**t - 4/5 = 0?
-1, 1
Let m = 113533/1345 + -3/269. Let l = -413/5 + m. Factor 6/5*a + l - 3/5*a**2.
-3*(a - 3)*(a + 1)/5
Let w(a) be the third derivative of a**6/40 - 23*a**5/20 + 43*a**4/8 - 21*a**3/2 - 3*a**2 - 38. Suppose w(u) = 0. Calculate u.
1, 21
Solve 8/3*q**3 + 8 + 56/3*q + 38/3*q**2 = 0 for q.
-2, -3/4
Let g = 3410/10221 + -1/3407. Factor 0*a + 1/3*a**2 - g.
(a - 1)*(a + 1)/3
Let k = 11/21 - 151/315. Let x(c) be the third derivative of -1/450*c**5 - k*c**4 - 16/45*c**3 - 5*c**2 + 0 + 0*c. Factor x(r).
-2*(r + 4)**2/15
Determine z, given that -17 - 12 + 2*z**4 + 112*z - 6*z**4 + 76*z**2 + 8*z**3 + 11 + 66 = 0.
-2, -1, 6
Let b(p) be the second derivative of p**8/9240 - p**6/990 + p**4/132 + 5*p**3/2 + 6*p. Let r(n) be the second derivative of b(n). Solve r(x) = 0.
-1, 1
Let q be ((-36)/24)/(162/(-24)). Let -2 + 4/3*j - q*j**2 = 0. Calculate j.
3
Factor -108*s**2 + 1593*s - 1888*s - s**3 - 2621*s.
-s*(s + 54)**2
Let u(f) be the second derivative of -3*f**6 + 141*f**5/5 - 2389*f**4/30 + 188*f**3/5 - 36*f**2/5 + 12*f - 9. Determine y, given that u(y) = 0.
2/15, 3
Let b(g) = -3*g - 27. Let y be b(-11). Determine a, given that -12*a**2 - 9 + 9 - y + 15*a + 3*a**3 = 0.
1, 2
Suppose 3*i + 2 = a, 4*a + 3*i - 8 = i. Let c be 132/(-66)*(3 - 1) + 10 + -3. Factor 3/2*u**a + 9/4*u**c + 1/4*u + 0.
u*(3*u + 1)**2/4
Suppose -11 = 3*s - 17. Factor -8*a**2 - a**4 + 5*a**s + 4*a**4.
3*a**2*(a - 1)*(a + 1)
Let j = -8/41 - -106/123. What is v in 1/3 + 0*v**2 + j*v**3 - 1/3*v**4 - 2/3*v = 0?
-1, 1
Let u(w) be the second derivative of w**4/4 - 22*w**3 + 126*w**2 - 7*w + 22. What is h in u(h) = 0?
2, 42
Let p(k) = -7*k**2 - 59*k + 36. Let v be p(-9). Solve v*a - 3/2*a**2 + 6 = 0 for a.
-2, 2
Let r(g) be the third derivative of 3*g**6/40 - 7*g**5/10 - 47*g**4/8 - 7*g**3 + g**2 + 154. Factor r(i).
3*(i - 7)*(i + 2)*(3*i + 1)
Let w(h) be the third derivative of h**5/360 + 2*h**4/9 + 64*h**3/9 - h**2 + 7*h. Factor w(i).
(i + 16)**2/6
Let w(j) be the second derivative of j**7/28 - j**6/10 - 3*j**5/10 + j**4 + 19*j. Factor w(t).
3*t**2*(t - 2)**2*(t + 2)/2
Let r(g) = 9*g - 14. Let i be r(-2). Let n be 12/i - 43/(-72). Factor -4/9*t**2 + 2/9*t + n*t**3 + 0.
2*t*(t - 1)**2/9
Let l be (-112)/(-189)*(-15)/(-20). Let p(b) be the second derivative of -l*b**2 - 1/54*b**4 + 4/27*b**3 - 7*b + 0. Factor p(k).
-2*(k - 2)**2/9
Let m(j) = -2*j**2 - 3*j + 5. Let k(n) = 2*n**2 - 6*n - 6*n**2 + 10 + 1 + n. Let f = -11 - -16. Let p(q) = f*m(q) - 3*k(q). What is s in p(s) = 0?
-2, 2
Let g = 54 - 54. Suppose -2*v + 3*t - 8 = -g*t, -5*t + 18 = -v. Factor 1/2*b**v + 0*b - 1/4*b**3 + 0.
-b**2*(b - 2)/4
Let a(z) be the first derivative of -60*z**4 - 27000*z**2 + 4/5*z**5 + 1800*z**3 + 202500*z + 7. Factor a(p).
4*(p - 15)**4
Let f be 6 - (-13 + 204/12). Factor 1/6*w**4 + 2*w**f + w**3 + 4/3*w + 0.
w*(w + 2)**3/6
Let n = 81 + -71. Factor 5*m**3 - 20*m**4 - 3*m**2 - n*m**2 - 37*m**3 - 3*m**2 - 4*m**5.
-4*m**2*(m + 1)*(m + 2)**2
Suppose -2*z + 7*z - 11 = 4. Factor 2/3*t**z + 0 + 0*t + 1/2*t**4 + 1/6*t**2.
t**2*(t + 1)*(3*t + 1)/6
Let j(y) be the first derivative of 0*y**2 + 37 + 0*y - 1/3*y**3 - 1/2*y**4 - 1/5*y**5. Factor j(x).
-x**2*(x + 1)**2
Let n = 196075/17 + -11533. Solve 10/17*m**2 + 6/17 - n*m - 2/17*m**3 = 0 for m.
1, 3
Suppose -4*t = 6 - 2. Let q be ((-3)/2)/(65/(-20) - t). Factor 1/3*a**2 + 0 + 0*a - q*a**3 + 1/3*a**4.
a**2*(a - 1)**2/3
Let 48/5*z + 171/5 - 3/5*z**2 = 0. Calculate z.
-3, 19
Let w(d) be the first derivative of -d**3/3 + d**2 + 15*d + 101. What is o in w(o) = 0?
-3, 5
Let g(m) be the third derivative of m**5/60 + 55*m**4/4 + 9075*m**3/2 + 16*m**2 + 3*m. Find z, given that g(z) = 0.
-165
Let a(k) = k**3 - 5*k**2 - 3*k - 77. Let y be a(7). Find u such that 1/8*u**2 - 3/8*u + y = 0.
0, 3
Suppose 2*w = -4*w. Suppose w = 2*p - 16 + 12. Factor 2*o**3 + 2*o - 5*o**2 - 1 - p*o**2 + 2*o**3 + 2.
(o - 1)**2*(4*o + 1)
Suppose -27 = -9*a - 0. Let s(w) be the second derivative of 1/20*w**5 - 7*w + 0 + 0*w**2 + 1/6*w**a - 1/6*w**4. Let s(n) = 0. Calculate n.
0, 1
Let g(t) = -t - 2*t + t. Let y be g(-6). Factor y - 4*b + b**2 - 3*b**2 - 14.
-2*(b + 1)**2
Let p = -1535/4 - -384. Let v(y) be the second derivative of 0 - 8*y - 1/24*y**3 - 5/16*y**4 + p*y**2. Suppose v(g) = 0. Calculate g.
-2/5, 1/3
Let x(l) = l**3 + 12*l**2 + 4. Let a be x(-12). Suppose -5*r - a = -6*r. Factor 2*w**2 + 0*w**2 + 5*w**3 - r*w**3 - w**2.
w**2*(w + 1)
Let p(s) be the first derivative of 3*s**6/8 - 3*s**5/20 - 25*s**4/8 - 29*s**3/6 - 23*s**2/8 - 3*s/4 + 843. What is v in p(v) = 0?
-1, -1/3, 3
Let c(x) be the third derivative of 18*x**2 + 10/3*x**4 + 0*x - 34/15*x**5 + 16/3*x**3 + 0 - 7/10*x**6. Factor c(f).
-4*(f + 2)*(3*f - 2)*(7*f + 2)
Suppose h - 3 = v, 2 = 4*v + 3*h - 7. Suppose v*c - 12 = -3*c. Factor -2*k**3 + 2*k**2 + k**5 - 1 + 2*k**c + k + 0*k**4 - 3*k**4.
(k - 1)**3*(k + 1)**2
Let t(i) = -8*i**4 + 8*i**3 + 4*i**2 - 12. Let w(m) = -m**4 - 1. Let a(f) = -12*f**3 - f**2 + 1. Let j be a(1). Let o(k) = j*w(k) + t(k). Solve o(l) = 0 for l.
-1, 0
Suppose -w - w = -4. Let x be ((-4)/(-52))/(-1)*-1*w. Find f, given that 2/13 + 0*f**2 - 4/13*f - x*f**4 + 4/13*f**3 = 0.
-1, 1
Let r(m) be the first derivative of 8*m + 31 - 4/3*m**3 + 2*m**2. Solve r(b) = 0 for b.
-1, 2
Let b be ((-2)/(-6))/(5/19020). Factor 16*o**3 + 16*o**2 + 1268 + 4*o**4 - b.
4*o**2*(o + 2)**2
Let o = -4 - -8. Suppose -o*f + 2*f = -3*u, -2*f = 5*u - 16. Solve 3/4*n**f + 0 + 3/4*n + 3/2*n**2 = 0 for n.
-1, 0
Let y(r) = -23*r**4 + 23*r**3 + 53*r**2 - 83*r + 30. Let w(m) = -15*m**4 + 15*m**3 + 35*m**2 - 55*m + 20. Let i(j) = 8*w(j) - 5*y(j). Solve i(u) = 0 for u.
-2, 1
Let s(j) be the second derivative of j**4/16 + 19*j**3/8 + 18*j**2 - 317*j. Factor s(r).
3*(r + 3)*(r + 16)/4
Let b(l) be the second derivative of l**7/3780 + l**6/270 + 7*l**4/12 + 9*l. Let z(w) be the third derivative of b(w). What is q in z(q) = 0?
-4, 0
Let z(t) be the first derivative of -t**4/14 - 2*t**3/3 - 16*t**2/7 - 24*t/7 + 401. Let z(f) = 0. What is f?
-3, -2
Let -460/7*z + 400/7 + 4*z**3 + 36/7*z**2 - 4/7*z**4 = 0. Calculate z.
-4, 1, 5
Let u(g) be the second derivative of -1/4*g**2 + 1/4*g**3 + 0 - 3/40*g**5 + 5*g + 1/24*g**4. Find v, given that u(v) = 0.
-1, 1/3, 1
Let h = -8 + 20. Factor -5*r**5 - 2*r**5 - 4 - 8*r**3 + r**5 + 2*r**5 + 1