(k) - 6*s(k). Suppose x(y) = 0. What is y?
-2, 1
Let d be (-3)/15*-5*-17. Let j(v) = 10*v**3 + 29*v**2 + 31*v. Let z(g) = -29*g**3 - 87*g**2 - 93*g - 1. Let t(i) = d*j(i) - 6*z(i). Factor t(w).
(w + 1)*(w + 6)*(4*w + 1)
Let h(s) be the third derivative of s**7/210 + 11*s**6/60 + 3*s**5/5 - 11*s**4/3 - 80*s**3/3 + 596*s**2. Solve h(z) = 0.
-20, -2, 2
Let z = -1435 + 12874/9. Let s = -11/3 - z. Factor -s*i**2 + 2/9 - 2/3*i.
-2*(i + 1)*(4*i - 1)/9
Factor -64/11*a**2 - 68/11 - 2/11*a**3 + 134/11*a.
-2*(a - 1)**2*(a + 34)/11
Let g(q) be the second derivative of q**7/105 + q**6/75 - 9*q**5/50 + 11*q**4/30 - 4*q**3/15 + 65*q. Solve g(i) = 0 for i.
-4, 0, 1
Let j = 47 + -44. Factor -31*n**j + 26*n**3 + 5*n**2 - 5*n**4 + 7*n - 2*n.
-5*n*(n - 1)*(n + 1)**2
Determine m so that -18*m**3 - m**2 + m**2 + 51*m + 25 - 55 - 3*m**2 = 0.
-2, 5/6, 1
Let q = -828 + 833. Let n(x) be the third derivative of -x**2 + 1/480*x**6 + 0*x**q + 0*x + 0*x**3 - 1/96*x**4 + 0. Factor n(y).
y*(y - 1)*(y + 1)/4
Let i(h) = h**2 - 12*h + 5. Let c be i(12). Factor c*o - 3*o**4 - 6*o**2 - 4*o - o - 9*o**3.
-3*o**2*(o + 1)*(o + 2)
Let y = -119 + 122. Let l(k) = 12*k - 12. Let o(x) = -x**2 + 24*x - 24. Let j(w) = y*o(w) - 5*l(w). What is s in j(s) = 0?
2
Let s(w) = 6*w**4 + 56*w**3 - 43*w**2 + 3. Let p(z) = 12*z**4 + 112*z**3 - 85*z**2 + 5. Let c(y) = -3*p(y) + 5*s(y). Find f such that c(f) = 0.
-10, 0, 2/3
Let q(l) be the third derivative of l**8/504 + l**7/35 - l**6/18 + 31*l**2. Factor q(d).
2*d**3*(d - 1)*(d + 10)/3
Let z(n) = -11*n**3 - 44*n**2 - 111*n - 78. Let h(a) = 5*a**3 + 22*a**2 + 55*a + 38. Let b(s) = -14*h(s) - 6*z(s). Factor b(g).
-4*(g + 1)*(g + 2)*(g + 8)
Let x(m) be the first derivative of m**6/30 + 2*m**5/25 - 2*m**3/15 - m**2/10 + 130. Suppose x(y) = 0. What is y?
-1, 0, 1
Suppose -3*d = -15, 4*d = c + 2*c + 20. Factor l**5 + 9/2*l**3 + c - 7/2*l**4 + 1/2*l - 5/2*l**2.
l*(l - 1)**3*(2*l - 1)/2
Let o be (-2164)/(-149)*(2 - 315/154). Let k = 10/149 - o. Factor 0*i**2 + 0*i + 0 - 8/11*i**4 - 2/11*i**5 - k*i**3.
-2*i**3*(i + 2)**2/11
Let v(p) be the first derivative of 5*p**4/4 + 10*p**3 - 5*p**2/2 - 30*p + 13. Factor v(y).
5*(y - 1)*(y + 1)*(y + 6)
Let r = -37 - -59. Let d be (-1)/(-4)*(24 - r). What is u in u**2 + 0 - d*u - 1/2*u**3 = 0?
0, 1
Suppose 0 = 12*a - 5*a + 32 - 46. Factor -1/3 - 1/6*n**a - 1/2*n.
-(n + 1)*(n + 2)/6
Suppose -260/3*a**3 - 135 + 300*a + 1030/3*a**2 + 5*a**4 = 0. Calculate a.
-1, 1/3, 9
Let k(d) be the first derivative of -2*d**5/35 + 3*d**4/28 + 11*d**3/21 - 3*d**2/7 + 467. Factor k(b).
-b*(b - 3)*(b + 2)*(2*b - 1)/7
Factor -12*x + 3 + 18*x**2 + 8*x**2 + 19*x**2 - 36*x**2.
3*(x - 1)*(3*x - 1)
What is p in 32/3*p**2 + 2*p + 34/3*p**3 + 0 + 8/3*p**4 = 0?
-3, -1, -1/4, 0
Let s(v) be the third derivative of -1/2016*v**8 + 52*v**2 - 1/720*v**6 - 1/420*v**7 + 1/120*v**5 + 0*v**3 + 0 + 1/72*v**4 + 0*v. Suppose s(b) = 0. Calculate b.
-2, -1, 0, 1
Let k(a) be the third derivative of a**5/390 + 7*a**4/78 - 24*a**3/13 - 111*a**2. Let k(v) = 0. Calculate v.
-18, 4
Let l(w) = -2*w**2 + 6*w + 7. Let b be l(7). Let s be ((-23)/(-7) + -3)*b/(-42). Factor -1/9*k**5 + k**2 - 5/9*k**4 - s*k**3 + 0 + 0*k.
-k**2*(k - 1)*(k + 3)**2/9
Suppose 4*v = -5*n + 2, -n + 2*n = 3*v - 11. Let h = 834 + -832. What is w in 0*w**h + 0 - 2/5*w**4 + 0*w + 0*w**v = 0?
0
Let n(j) = -j**5 - j**4 - 8*j**3 + 6*j**2 - 4. Let x(s) = 2*s**5 + 2*s**4 + 7*s**3 - 5*s**2 + 6. Let a(v) = 3*n(v) + 2*x(v). Determine g so that a(g) = 0.
-4, 0, 1, 2
Determine l, given that -117/5*l**4 - 54/5*l**3 + 0 + 0*l**2 + 0*l - 33/5*l**5 = 0.
-3, -6/11, 0
Let l(c) be the second derivative of -c**6/180 - c**5/60 + c**4/2 + 2*c**3 - 20*c. Let y(d) be the second derivative of l(d). Factor y(i).
-2*(i - 2)*(i + 3)
Suppose 0 = -2*l - 0*l - 3*l. Suppose l = 663*j - 661*j. Find y such that j + 3*y**2 - 3*y**4 - 3/2*y**5 + 3/2*y + 0*y**3 = 0.
-1, 0, 1
Let f(h) be the third derivative of 2*h**5/105 + 25*h**4/84 + 12*h**3/7 - 453*h**2. Factor f(a).
2*(a + 4)*(4*a + 9)/7
Let h(a) = a**3 + 5*a**2 - 2*a - 24. Let d(v) = 3*v**3 + 9*v**2 - 9*v - 48. Let o(r) = 4*d(r) - 9*h(r). Factor o(g).
3*(g - 4)*(g - 1)*(g + 2)
Factor 10*g**3 - 2*g**4 + 0*g**2 - 26*g - 62 + 0*g + 6*g**2 + 107 - 65.
-2*(g - 5)*(g - 2)*(g + 1)**2
Let w = 183/4832 - 1/151. Let q(c) be the third derivative of 0*c + 1/3*c**3 + 23/120*c**5 - 2*c**2 + 0 + w*c**6 + 3/8*c**4. Find f, given that q(f) = 0.
-2, -2/3, -2/5
Let d = 60 + -80. Let u be (3/(-15))/(6/d). Determine t so that -u + 1/3*t**4 + t + 1/3*t**2 - t**3 = 0.
-1, 1, 2
Let o(w) be the first derivative of w**4/3 - 2*w**3/3 - 4*w**2 - 10*w + 36. Let h(c) be the first derivative of o(c). Suppose h(j) = 0. Calculate j.
-1, 2
Let b(d) = -d**4 - d**3 + d**2 - d + 1. Let p(k) = 2*k**4 + 17*k**3 - 15*k**2 + 7*k - 5. Let a(y) = -30*b(y) - 5*p(y). What is n in a(n) = 0?
-1/4, 1
Suppose -3*v = -5*v - 24. Let k = v + 17. Factor -3*p**4 - 2*p**5 - k*p**3 + 3*p**3 - p**4 + 0*p**4.
-2*p**3*(p + 1)**2
Let b(v) = -21*v**4 + 75*v**3 - 27*v**2 + 3*v + 6. Let z(o) be the third derivative of -o**6/120 - o**5/60 + 8*o**2. Let g(k) = -b(k) - 18*z(k). Factor g(p).
3*(p - 1)**3*(7*p + 2)
Let v(t) be the first derivative of t**6/48 + 7*t**5/80 + t**4/8 - t**3 - 1. Let y(a) be the third derivative of v(a). What is i in y(i) = 0?
-1, -2/5
Suppose -7*o + 10*o - 12 = 0. Factor -l**5 + 2*l**5 + 8*l**2 + 4*l - o*l**4 - 5*l**5 - 4*l**4.
-4*l*(l - 1)*(l + 1)**3
Determine i, given that -21/5*i**3 - 3/2*i - 6/5*i**4 + 0 - 22/5*i**2 + 1/10*i**5 = 0.
-1, 0, 15
Let c(t) be the second derivative of -t**6/180 + t**5/30 - t**4/12 + 11*t**3/6 + 21*t. Let w(k) be the second derivative of c(k). Factor w(v).
-2*(v - 1)**2
Let a = -122 + 120. Let y be ((-96)/(-26) - (14 + -10))/a. Factor -2/13*r**5 + 0*r - y*r**4 + 2/13*r**2 + 0 + 2/13*r**3.
-2*r**2*(r - 1)*(r + 1)**2/13
Let s(a) = -a**2 - 9*a - 7. Let c be s(-6). Suppose 7 + 3 = 5*n. Factor -27 - 2*u - c*u**2 + 20*u + 8*u**n.
-3*(u - 3)**2
Let u(s) be the third derivative of 1/24*s**4 - 17*s**2 + 0*s + 0 - 1/40*s**5 + 1/240*s**6 + 0*s**3. Factor u(c).
c*(c - 2)*(c - 1)/2
Let o(x) = -x**4 - x**3 + x**2 + 1. Let b(u) = -u**5 + 3*u**4 - 6*u**3 + 3*u**2 + 1. Let t(j) = b(j) - o(j). Suppose t(r) = 0. What is r?
0, 1, 2
Suppose -35 = -41*i + 129. Let q(z) be the second derivative of 1/6*z**3 + 1/24*z**4 + 0*z**2 - 1/60*z**6 - i*z + 0 - 1/20*z**5. Factor q(l).
-l*(l - 1)*(l + 1)*(l + 2)/2
Let q(v) = -v**3 - 5*v**2 + 7*v + 6. Let x be q(-6). Suppose 0*n - 6*n = x. Factor -1/3*j + n - 1/3*j**2.
-j*(j + 1)/3
Let z = 4798 - 52766/11. Solve 0 + z*d + 2/11*d**2 = 0.
-6, 0
Suppose -1022 = 2*q + 12*q. Let j = -71 - q. Suppose -4/5*h**2 - 2/5*h**5 - 8/5*h**4 + 0 + 0*h - j*h**3 = 0. Calculate h.
-2, -1, 0
Determine y, given that 6/17*y**4 + 0 - 2/17*y + 10/17*y**2 - 14/17*y**3 = 0.
0, 1/3, 1
Let m(w) be the third derivative of -1/84*w**4 + 0*w - 2/21*w**3 + 0 + 1/210*w**5 + 4*w**2. Factor m(s).
2*(s - 2)*(s + 1)/7
Let -45*g**2 + 50*g - 40/3 + 25/3*g**3 = 0. Calculate g.
2/5, 1, 4
Let c be (3 + -2)*(-114)/(-798). Find a, given that 0*a + c + 1/7*a**4 - 2/7*a**2 + 0*a**3 = 0.
-1, 1
Let 4*h**3 + 19 + 7 - 18 - 12*h = 0. What is h?
-2, 1
Let j(d) = -2*d**3 + 6*d**2 - 4*d + 5. Suppose i + 7 - 4 = 0. Let h = -36 - -31. Let v(w) = w**3 - 3*w**2 + 2*w - 3. Let y(n) = h*v(n) + i*j(n). Factor y(k).
k*(k - 2)*(k - 1)
Let h(n) be the first derivative of -n**5/80 + n**4/24 - n**3/24 + 9*n - 8. Let a(z) be the first derivative of h(z). Factor a(c).
-c*(c - 1)**2/4
Let m = 609 - 605. Let p = 19 - 17. Determine b so that 0 + 0*b + 2/13*b**m + 2/13*b**p - 4/13*b**3 = 0.
0, 1
Solve 8/5*b**3 - 3*b**2 - 8/5*b + 16/5 - 1/5*b**4 = 0.
-1, 1, 4
Find i, given that 9/5*i + 6 - 3/5*i**2 = 0.
-2, 5
Let s(d) = -d**2 - 7*d + 2. Let b be s(-7). Factor -13*h**b + 2*h**2 + 7*h**2 - 8*h**3 - 4*h**4.
-4*h**2*(h + 1)**2
Let u(i) be the second derivative of i**6/1260 + i**5/210 + i**4/84 - i**3/2 - i. Let b(d) be the second derivative of u(d). Factor b(s).
2*(s + 1)**2/7
Determine l so that -69 - 33*l + 3/4*l**2 = 0.
-2, 46
Suppose -29*h + 5*h = -96. Let t(a) be the second derivative of -1/72*a**h - 4/3*a**2 - 5*a + 0 + 2/9*a**3. Factor t(j).
-(j - 4)**2/6
Let v be -7 + 5 + 5 + 3/3. Let a(j) be the first derivative of 3/4*j**v + 2 + 2*j**3 + 