0. Calculate i.
-1, 2/3, 2
Let r(q) = 4*q - 192. Let l be r(49). Suppose 0 = -9*n + 4*n. Factor n*s**5 - 48*s**2 + l*s**5 - 18*s**4 + 32*s**3 - s**5 + 27*s - 6 + 10*s**3.
3*(s - 2)*(s - 1)**4
Solve 100*q - 105*q**2 - q**3 + 8*q**3 - q**3 + 0*q**3 - q**3 = 0.
0, 1, 20
Let u(d) be the second derivative of d**6/2520 + d**5/280 + d**4/84 + 31*d**3/6 - 9*d. Let y(p) be the second derivative of u(p). Suppose y(f) = 0. What is f?
-2, -1
Suppose 3*y + 24*y = 54. Let s(u) be the third derivative of 0 - 1/72*u**4 + 1/180*u**5 - 6*u**y + 0*u**3 + 0*u. Factor s(x).
x*(x - 1)/3
Let a(x) be the second derivative of -27/2*x**2 - 10*x**4 + 0 + 33/2*x**3 + 20*x + 12/5*x**5. Let a(h) = 0. Calculate h.
3/4, 1
Let a(s) be the third derivative of 26*s**7/105 + 5*s**6/12 - 131*s**5/30 + 83*s**4/12 - s**3 + s**2 - 7. Suppose a(g) = 0. What is g?
-3, 1/26, 1
Let a(p) = 10*p**2 + 147*p - 150. Let z(o) = -6*o**2 - 74*o + 76. Let q(y) = 4*a(y) + 7*z(y). Let q(l) = 0. What is l?
1, 34
Let b = -118 - -118. Suppose 4*d = 0, b = 3*t + 2*t + 3*d - 15. Find c such that -t*c**2 - 1/2*c**4 + 2*c + 2*c**3 - 1/2 = 0.
1
Let k(z) be the second derivative of 5*z**4/12 - 995*z**3/6 + 495*z**2 + 399*z. Factor k(t).
5*(t - 198)*(t - 1)
Factor -117 + 3/2*n**3 + 321/2*n - 45*n**2.
3*(n - 26)*(n - 3)*(n - 1)/2
Let b(l) be the second derivative of 0 - 19*l - 5/36*l**4 + 1/9*l**3 + 0*l**2 - 7/60*l**5. Let b(p) = 0. Calculate p.
-1, 0, 2/7
Let q(y) be the third derivative of y**5/60 + 31*y**4/3 + 7688*y**3/3 - 3*y**2 + 34*y. Factor q(c).
(c + 124)**2
Suppose -3*m - 2*c = -22, 8*c = 4*c + 20. Let r(j) be the third derivative of 4/27*j**3 + 0 - 1/27*j**m + 0*j + 1/270*j**5 - 9*j**2. Factor r(i).
2*(i - 2)**2/9
Let g(d) be the second derivative of -8*d + 0 + 2/9*d**2 + 7/27*d**3 + 1/27*d**4 - 1/30*d**5. Let g(m) = 0. Calculate m.
-1, -1/3, 2
Suppose -2*z = -5*z + 432. Suppose -4*o**2 + 5*o + 19*o - z + 31*o - 7*o = 0. Calculate o.
6
Let i = 228 - 228. Let o be -6*3/(-7) + (0 - i). Factor -o*l + 3/7*l**2 + 27/7.
3*(l - 3)**2/7
Let q(f) be the second derivative of 1/66*f**4 + 4/11*f**2 + 4/33*f**3 - 7*f + 0. Factor q(b).
2*(b + 2)**2/11
Let g(c) be the second derivative of c**9/26460 - c**7/1470 - c**6/630 - c**4/6 + 9*c. Let s(b) be the third derivative of g(b). Factor s(k).
4*k*(k - 2)*(k + 1)**2/7
Suppose -3*n + 2 + 4 = -t, -5*t = -n + 2. Determine q so that 5*q + 3*q**2 + t*q + 7*q - 3*q = 0.
-3, 0
Let j(g) be the first derivative of -g**6/120 + g**4/8 - g**3/3 - 15*g**2/2 + 29. Let u(t) be the second derivative of j(t). Factor u(d).
-(d - 1)**2*(d + 2)
Let t(r) be the second derivative of -r**4/66 + 10*r**3/11 - 225*r**2/11 - 672*r. Factor t(d).
-2*(d - 15)**2/11
Let c be 1/(-3)*(-12 + 3). Factor -8 - 4 - 15*q**2 + 3*q**c + 24*q + 7*q - 7*q.
3*(q - 2)**2*(q - 1)
Let q be (24/(-36))/((-4)/66). Let a = 13 - q. Factor -14*j**2 - 2 - a*j + 12*j**2 - 2*j.
-2*(j + 1)**2
Let s(f) = -11*f**2 - 252*f + 2646. Let r(v) = -4*v**2 - 84*v + 882. Let h(p) = 17*r(p) - 6*s(p). Determine b, given that h(b) = 0.
21
Let -2/3*p**4 + 38/3*p**3 + 12 - 34/3*p**2 - 38/3*p = 0. Calculate p.
-1, 1, 18
Suppose -3*r + 24 - 6 = -3*y, -2*r = -3*y - 16. Let t be (((-36)/8)/9)/(11/y). Factor 0 - t*v**2 - 4/11*v.
-2*v*(v + 2)/11
Let p(d) be the first derivative of -d**4/18 - 34*d**3/27 - 31*d**2/9 - 10*d/3 + 3. Factor p(h).
-2*(h + 1)**2*(h + 15)/9
Let m(y) be the first derivative of 20/9*y**3 - 100/3*y**2 - 14 - 1/18*y**4 + 2000/9*y. Factor m(k).
-2*(k - 10)**3/9
Let r(c) be the third derivative of -c**6/480 - 11*c**5/240 - 3*c**4/16 + 51*c**2. Solve r(l) = 0.
-9, -2, 0
Let z(s) be the third derivative of 0*s + 7/6*s**3 - 1/1080*s**6 + 0*s**5 + 0 - s**2 + 1/72*s**4. Let y(u) be the first derivative of z(u). Factor y(a).
-(a - 1)*(a + 1)/3
Let g = -990 - -992. Factor 9/2*s**3 + 3/2*s**g - 9/2*s - 3 + 3/2*s**4.
3*(s - 1)*(s + 1)**2*(s + 2)/2
Factor 3/4*m**2 - 69 - 57/4*m.
3*(m - 23)*(m + 4)/4
Factor 3 - 3 + 2*k - k**3 + 10*k**2 - k**5 + 3*k**4 - 13*k**2.
-k*(k - 2)*(k - 1)**2*(k + 1)
Let y(t) be the second derivative of 0 - 9/40*t**6 - 1/4*t**4 - t + 0*t**3 - 11/20*t**5 + t**2. Let p(g) be the first derivative of y(g). Factor p(c).
-3*c*(c + 1)*(9*c + 2)
Let h(f) be the third derivative of f**6/780 + f**5/130 - f**4/39 - 6*f**2 + 7. Solve h(p) = 0 for p.
-4, 0, 1
Suppose -17 = 3*t - 4*d - 4, 3*t + 53 = -4*d. Let c = t + 13. Solve 6*n - c*n**3 - 9*n**2 - 4*n**3 + 9*n**3 + 0*n = 0 for n.
0, 1, 2
Let r(y) = 2*y**2 + 12. Let t be r(5). Solve t - 6*h - 62 - 3*h**2 + 3*h**3 = 0.
-1, 0, 2
Let s be (-2 + 11)*-1*(-2 + 3). Let y be 3/s - (-15)/18. Factor -1/2*a - 1 + y*a**2.
(a - 2)*(a + 1)/2
Let n(d) be the first derivative of d**5/120 + d**4/48 - d**3/6 + d**2 + 8. Let s(h) be the second derivative of n(h). Solve s(f) = 0 for f.
-2, 1
Let p(o) be the first derivative of 6/7*o**2 - 2/21*o**3 - 18/7*o - 8. Determine u so that p(u) = 0.
3
Let 4*j**4 + 115*j**3 + 54*j**3 - 1201*j**2 + 15*j**3 + 3317*j**2 = 0. What is j?
-23, 0
Suppose 13*r = 633 + 1642. Let j be r/42 - 2/(-6). Factor z**2 - 1 + j*z - 9/2*z**3.
-(z - 1)*(z + 1)*(9*z - 2)/2
Find m such that -1/5*m**2 + 7/5*m - 2 = 0.
2, 5
Let m(h) = h**3 + 7*h**2 - h - 5. Let w be m(-7). Let a = -831 - -2494/3. Factor a + 1/3*j**w - 2/3*j.
(j - 1)**2/3
Let g = -28 + 33. Let x(o) be the second derivative of 0*o**2 + 0 + 1/20*o**g + 0*o**3 + 1/12*o**4 - 7*o. Determine c, given that x(c) = 0.
-1, 0
Find q such that -13/4*q**2 + 1/4*q**4 - 1/2*q**3 + 0 - 5/2*q = 0.
-2, -1, 0, 5
Suppose -3*i**3 + i**2 + 0 - 1/2*i**5 + 0*i + 9/4*i**4 = 0. Calculate i.
0, 1/2, 2
Let f(l) be the third derivative of -l**6/120 + 7*l**5/60 - 7*l**4/24 - 11*l**3/6 + 21*l**2. Let j be f(5). What is x in 2*x + 0 - 5/2*x**3 - j*x**2 = 0?
-2, 0, 2/5
Let x(c) be the second derivative of -c**8/28 + c**7/15 - c**6/60 - 4*c**2 - 11*c. Let m(k) be the first derivative of x(k). Factor m(w).
-2*w**3*(w - 1)*(6*w - 1)
Let j(o) be the first derivative of o**5/100 + o**4/20 - 7*o**2/2 + 14. Let i(t) be the second derivative of j(t). Factor i(f).
3*f*(f + 2)/5
Let x be (-581)/63 - 2/(-9). Let c = -7 - x. Solve 0*q**c + 10*q**5 + 3*q**4 + q**2 - 20*q**5 + 3*q**3 + 11*q**5 = 0 for q.
-1, 0
Let w = -2/43819 + 788768/569647. Factor -2/13*j**5 - 10/13*j**4 - w*j**3 + 0 - 14/13*j**2 - 4/13*j.
-2*j*(j + 1)**3*(j + 2)/13
Suppose -5*u + 49 = -1. Suppose z = u*z. Find f, given that f + 0 + z*f**3 - 1/2*f**4 + 3/2*f**2 = 0.
-1, 0, 2
Factor 12 - 3*w**2 + 12 + 4*w**2 + 11*w**2 - 45*w + 3*w**3 + 6*w**2.
3*(w - 1)**2*(w + 8)
Let v be (-37)/(-370) + (-466)/(-140). Let -10/7*y**2 - 8/7 - v*y = 0. Calculate y.
-2, -2/5
Suppose 120 = -18*m - 1842. Let w = -106 - m. Determine v so that -4/7 - 10/7*v**5 - 4/7*v**4 + 8/7*v**2 + 20/7*v**w - 10/7*v = 0.
-1, -2/5, 1
Suppose 0 = b - 3*b + 4. Suppose b*y = 6*y. Factor y - 24/5*r**3 - 18/5*r**4 + 0*r - 8/5*r**2.
-2*r**2*(3*r + 2)**2/5
Determine r, given that 8 + 22*r**2 - 26*r + r**3 - 24*r**2 + 22*r = 0.
-2, 2
Suppose -y - 33 = 5*s + 50, -y - 49 = 3*s. Let o(x) = x**2 + 6. Let k(m) = 3*m**2 + 17. Let w(j) = s*o(j) + 6*k(j). Factor w(z).
z**2
Let a = 512511 + -3593293/7. Let z = 820 + a. Find x, given that z*x**2 - 3/7*x**5 + 0 - 36/7*x**3 + 18/7*x**4 + 0*x = 0.
0, 2
Determine h, given that -206/3*h + 2/3*h**3 + 60 + 8*h**2 = 0.
-18, 1, 5
Suppose 3725 = 83*q + 3559. Suppose 4/15*k**q + 0 - 2/15*k**3 - 2/15*k = 0. What is k?
0, 1
Let b be 3/((-354)/(-5))*(-1)/5. Let t = 241/590 + b. Determine d, given that t*d**5 + 44/5*d**3 - 16/5*d**4 + 18/5*d + 0 - 48/5*d**2 = 0.
0, 1, 3
Let a(s) be the second derivative of 0 + 9*s - 1/2*s**2 - 5/8*s**4 + 1/20*s**5 + 0*s**3. Let t(c) be the first derivative of a(c). Factor t(m).
3*m*(m - 5)
Suppose -5*z = -0*z + 25, -s = -5*z - 58. Suppose 0*f - i = f - 9, 5*f = -2*i + s. What is n in 0 + 6/11*n**4 + 2/11*n**f + 2/11*n**3 - 6/11*n**2 - 4/11*n = 0?
-2, -1, 0, 1
Let r(c) be the first derivative of -1/5*c**5 - 1/10*c**6 + 2 + 2/3*c**3 + 1/6*c**4 + 2*c + 1/2*c**2. Let x(f) be the first derivative of r(f). Factor x(p).
-(p - 1)*(p + 1)**2*(3*p + 1)
Factor 41 - 4*r**2 + 8*r - 23 + 5 + 37.
-4*(r - 5)*(r + 3)
Let w(k) be the third derivative of k**7/105 - 2*k**6/5 + 9*k**5/5 + 90*k**4 + 675*k**3 + 52*k**2 + 2. Factor w(v).
2*(v - 15)**2*(v + 3)**2
Let y(c) = -c - 3. Let p be y(