Let u = -168 + 171. Factor 2/3*q**2 - 2/9*q**u + 0*q + 0.
-2*q**2*(q - 3)/9
Factor 24/5*d**2 - 48/5*d + 32/5 - 4/5*d**3.
-4*(d - 2)**3/5
Let b be ((-4)/3)/(-1*2/1). Suppose -4/3*f**3 - 2/3*f**4 - b*f**2 + 0 + 0*f = 0. Calculate f.
-1, 0
Let g = 182/3 - 60. Factor g*r**2 + 0 - 1/3*r - 1/3*r**3.
-r*(r - 1)**2/3
Suppose 10*m = 5*m. Let c(z) be the second derivative of -2*z + m - 1/24*z**3 - 1/4*z**2 + 1/80*z**5 + 1/24*z**4. Factor c(x).
(x - 1)*(x + 1)*(x + 2)/4
Let x be (1 + -3)/(2 + 0). Let f be (x/(-3))/(2/18). Factor -p**2 - 5*p**3 + 6*p**f + 0*p**3.
p**2*(p - 1)
Let c be 8/1 - (5 + -1). Factor 12 - 20*o**4 - 12 - 16*o**2 - 27*o**3 - c*o**5 - 5*o**3.
-4*o**2*(o + 1)*(o + 2)**2
Suppose 0 = -3*f - 4*l, -2*l = 6*f - f. Let i be -6 + 8 + f + 0. Factor o - i*o - 9*o**2 - o - 7*o**3.
-o*(o + 1)*(7*o + 2)
Suppose -3*c = -3*b, -5*c - 20 = -0. Let y = b - -6. Find l such that 3*l**3 - 3*l + l**y + 3 - 5 - l**4 + 2*l**4 = 0.
-2, -1, 1
Let p(r) = -415*r**3 + 475*r**2 - 85*r - 25. Let u(t) = -69*t**3 + 79*t**2 - 14*t - 4. Let q(o) = 4*p(o) - 25*u(o). Find h such that q(h) = 0.
0, 2/13, 1
Let x be ((-2)/18)/((-1)/(144/32)). Suppose 3*t = 3*o - 6, -3*o + 0*t = -2*t - 6. Suppose -1/2 + 1/2*p**o - 1/2*p**3 + x*p = 0. What is p?
-1, 1
Let p = 50/3 - 544/33. Factor 2/11*a**2 + 0 - 4/11*a + p*a**3.
2*a*(a - 1)*(a + 2)/11
Let b(d) be the second derivative of d**10/11340 + d**9/2520 + d**8/1680 + d**7/3780 + d**4/3 + d. Let g(p) be the third derivative of b(p). Factor g(o).
2*o**2*(o + 1)**2*(4*o + 1)/3
Let p(m) be the second derivative of m**6/15 - 2*m**5/5 + m**4 - 4*m**3/3 + m**2 - 7*m. Let p(h) = 0. What is h?
1
Let a = 24 - 21. Factor 29*h - 28*h - 3*h**3 - 2*h**2 + 4*h**a.
h*(h - 1)**2
Let a(s) = -2*s**2 - 3*s - 1. Let t = -18 + 13. Let q(h) = -3*h**2 - 4*h - 1. Let i(r) = t*q(r) + 7*a(r). Factor i(k).
(k - 2)*(k + 1)
Let d(n) = -7*n**3 + 82*n**2 - 272*n + 72. Let i(p) = -p**2 + p. Let s(l) = d(l) - 4*i(l). Factor s(a).
-(a - 6)**2*(7*a - 2)
Let r = 38 + -34. Suppose p - 5*q + 19 = -2*p, -35 = -5*p - 5*q. Factor 0*s - 4/3*s**3 + 2/3*s**p + 2/3*s**r + 0.
2*s**2*(s - 1)**2/3
Let t be -3 - -1 - 8/20. Let c = t - -29/10. Factor 3/2*y - 1/2 - 3/2*y**2 + c*y**3.
(y - 1)**3/2
Let f(b) be the third derivative of 0*b + 0 + 1/132*b**4 + 2/33*b**3 - 1/330*b**5 + 2*b**2. Let f(a) = 0. Calculate a.
-1, 2
Let n(u) = 3*u + 15. Let i be n(-4). Factor 0*m**2 + 2/9*m**i - 2/9*m**4 + 0 + 0*m.
-2*m**3*(m - 1)/9
Factor 29*d**2 - 41*d**5 - 8*d - 21*d**2 + 43*d**5 + 6*d**3 - 8*d**4.
2*d*(d - 2)**2*(d - 1)*(d + 1)
Let i(n) be the first derivative of -n**4/4 - 4*n**3/3 - 5*n**2/2 - 3*n - 4. Let z be i(-3). Solve 3/2*q**z + 0 - q**4 + 1/4*q**5 - q**2 + 1/4*q = 0 for q.
0, 1
Let i be 3/(-2)*(12 + -2). Let r be ((-6)/i)/(2/10). Suppose 20/3*t**r + 2/3 + 2/3*t**5 + 20/3*t**3 + 10/3*t**4 + 10/3*t = 0. Calculate t.
-1
Suppose -n = 94 - 97. Find s such that 0*s - 2*s**n + 0 + 4/5*s**2 = 0.
0, 2/5
Let p(m) be the first derivative of -m**5/100 - m**4/30 - m**3/30 + 3*m + 4. Let i(j) be the first derivative of p(j). Suppose i(q) = 0. What is q?
-1, 0
What is d in 0*d**2 - 46/11*d**3 + 20/11*d**5 + 18/11*d**4 + 0 + 8/11*d = 0?
-2, -2/5, 0, 1/2, 1
Suppose -2*a + 8 = -3*x, -6 = -3*x - 2*a + 2. Factor x*r**2 - 3*r**2 + r + 3*r**2 - r**2.
-r*(r - 1)
Let y(i) be the first derivative of -2 - i**3 + 3/2*i**2 + 0*i. Find n such that y(n) = 0.
0, 1
Let r = 629/805 + 3/161. Let w = 11/2 - 51/10. Factor w*g**3 + 0 + 2/5*g - r*g**2.
2*g*(g - 1)**2/5
Let y(o) = o - 6 + 5 + 2*o**2 - 3 + 6. Suppose -5*j - 23 = -4*h + 5, -h + j + 7 = 0. Let m(v) = 5*v**2 + 3*v + 5. Let g(f) = h*y(f) - 3*m(f). Factor g(b).
-(b + 1)**2
Let i(z) be the first derivative of -2*z**5/35 - 5*z**4/14 - 16*z**3/21 - 4*z**2/7 - 22. Factor i(y).
-2*y*(y + 1)*(y + 2)**2/7
Let g be 5 + -8*2/4. Suppose 0 = 4*b - g - 7. Factor -1/2*j**2 - b*j**4 + 0 + 0*j + 5/2*j**3.
-j**2*(j - 1)*(4*j - 1)/2
Let s(m) be the third derivative of 0*m**3 + 3*m**2 + 1/48*m**4 + 0 - 1/120*m**5 + 0*m. Find t such that s(t) = 0.
0, 1
Determine g, given that -5*g + 25*g + 2*g + 1432*g**2 + 121 - 1431*g**2 = 0.
-11
Let d(q) = -q**2 + 9*q - 14. Let u be d(7). Let -1/3*b**3 + u - 2/3*b**2 - 1/3*b = 0. What is b?
-1, 0
Let q(o) be the third derivative of 0*o + 0*o**3 + 1/840*o**7 - 1/120*o**5 + 0 - 1/480*o**6 + 6*o**2 + 0*o**4. What is i in q(i) = 0?
-1, 0, 2
Let c(v) be the first derivative of -4*v**7/735 + v**6/84 - v**5/210 - v**2 + 3. Let i(u) be the second derivative of c(u). Factor i(m).
-2*m**2*(m - 1)*(4*m - 1)/7
Let z = 77 + -384/5. Let q(n) be the first derivative of 0*n**2 - z*n + 1/15*n**3 + 2. Factor q(o).
(o - 1)*(o + 1)/5
Let r = 35 + -32. Let i(d) = d**3 + 4*d**2 - d - 2. Let o be i(-4). Suppose -2*c**3 + c**3 - c + 0*c**r - 2*c**o = 0. Calculate c.
-1, 0
Suppose s = -5*d - 23, 3*s + 2*d = -5 + 1. Let k be 0/(((-2)/s)/(-1)). Suppose w**5 + 8/3*w**4 - 1/3*w + 0 + 2*w**3 + k*w**2 = 0. Calculate w.
-1, 0, 1/3
Factor -1/2*y**3 + 3*y - 5/2*y**2 + 0.
-y*(y - 1)*(y + 6)/2
Suppose 4*m + 6 = -3*r + 3, 3*r = 9. Let h = -1 - m. Determine j so that 2/5*j**5 + 2/5 - 4/5*j**h + 2/5*j + 2/5*j**4 - 4/5*j**3 = 0.
-1, 1
Let -36/11*l**5 - 2/11 - 20/11*l - 76/11*l**2 - 136/11*l**3 - 114/11*l**4 = 0. Calculate l.
-1, -1/2, -1/3
Let i(g) be the first derivative of g**3/3 + g**2 + g + 26. Suppose i(k) = 0. What is k?
-1
Let a(z) be the second derivative of z**6/240 + z**5/40 + 5*z**4/96 + z**3/24 + 43*z. Solve a(r) = 0 for r.
-2, -1, 0
Suppose -3*m + 1 = -3*z + 4, 8 = 2*m. Factor -3*q**3 + 0*q**4 - q**4 + z*q**3 + 2*q**2 - 3*q**2.
-q**2*(q - 1)**2
Let o = 8 - 6. Factor 2*k**3 + 2*k**o - 10*k + 4*k**2 + 14*k.
2*k*(k + 1)*(k + 2)
Factor -242/7 - 528/7*w - 2/7*w**4 - 332/7*w**2 - 48/7*w**3.
-2*(w + 1)**2*(w + 11)**2/7
Let l(r) be the second derivative of -r**4/16 + 11*r**3/4 - 363*r**2/8 + r. Find n, given that l(n) = 0.
11
Let v(d) = -d. Let a be v(-6). Determine n, given that -6 - 5*n - 2 + a + 7*n**2 = 0.
-2/7, 1
Let f be (48 + 2)*(-3)/(-6). Determine g, given that 26*g**2 + 2 + f*g + 24*g**3 + 8*g**4 - 23*g + 10*g = 0.
-1, -1/2
Let n be (-2)/(-1) - 6*8/36. Solve 4/3*u + n + 2/3*u**2 = 0 for u.
-1
Let i(c) = -16*c**4 - 10*c**3 + 8*c**2 - 2*c. Let p(j) = -j**4 - j**3 + j. Let y(d) = 2*i(d) - 28*p(d). Factor y(a).
-4*a*(a - 2)**2*(a + 2)
Let w(k) = -16*k**4 + 6*k**3 + 26*k**2 - 6*k - 10. Let p(q) = -3*q**4 + q**3 + 5*q**2 - q - 2. Let g(o) = 11*p(o) - 2*w(o). Factor g(v).
-(v - 1)**2*(v + 1)*(v + 2)
Let f = -25 - -25. Let m(j) be the third derivative of 0*j**4 + 0*j**3 - 1/90*j**5 + f*j - 2*j**2 + 0. Factor m(w).
-2*w**2/3
Suppose 15 + 2*z - z**2 + 4*z - 2*z**2 + 6*z = 0. What is z?
-1, 5
Let h(s) be the first derivative of 1/3*s**3 + 0*s**2 + 0*s - 1/4*s**4 + 2 - 1/5*s**5 + 1/6*s**6. Factor h(o).
o**2*(o - 1)**2*(o + 1)
Determine l so that -1/7*l**2 - 2/7*l + 0 + 1/7*l**3 = 0.
-1, 0, 2
Let w = -9 + 11. Factor -r**w - r**3 - r - r**2 + r**3 - r**3.
-r*(r + 1)**2
Let d be -1*(0 - (-1 + 1)). Let g(y) be the second derivative of 2*y + 1/12*y**3 - 1/24*y**4 + 0*y**2 + d. Factor g(b).
-b*(b - 1)/2
Let u = -2 + 6. Let c(m) be the second derivative of 0 - m - 2/9*m**3 - 5/18*m**u + 0*m**2. Let c(b) = 0. What is b?
-2/5, 0
Factor 2*z - 5*z + 26*z**3 + 6*z**2 - 49*z**3 + 32*z**3.
3*z*(z + 1)*(3*z - 1)
Let g(r) be the first derivative of -r**9/1512 - r**8/840 + r**3/3 - 1. Let d(k) be the third derivative of g(k). Let d(f) = 0. Calculate f.
-1, 0
Let k(d) be the third derivative of -d**8/3360 - d**7/252 - d**6/45 - d**5/15 + 5*d**4/24 + d**2. Let p(u) be the second derivative of k(u). Factor p(l).
-2*(l + 1)*(l + 2)**2
Let x(n) be the first derivative of -n**3/9 - 5*n**2 - 75*n + 11. Factor x(t).
-(t + 15)**2/3
Factor 8/7*u + 8/7 + 2/7*u**2.
2*(u + 2)**2/7
Determine s, given that 130*s**3 - 85*s**3 + 219*s**3 + 186*s - 48*s**4 + 21 + 477*s**2 = 0.
-1, -1/4, 7
Let f(z) = -17*z + 16. Let j be f(8). Let m be ((-32)/j)/((-12)/(-10)). Factor -2/9 - 4/9*t - m*t**2.
-2*(t + 1)**2/9
Let b(h) be the second derivative of h**6/40 + 3*h**5/80 - 3*h**4/16 - 5*h**3/8 - 3*h**2/4 - 10*h. Factor b(g).
3*(g - 2)*(g + 1)**3/4
Suppose -d - 19 = -5*z + 2*d, -2*z - d + 1 = 0. Factor 0*k - z*k - 4*k**2 + 0*k - 2*k**3.
-2*k*(k + 1)**2
Let g(b) be the second derivative of -b**7/21 - 8*b**6/15 - 9*b**5/5 - 8