/3 - 64*r**3/3 - 340*r**2. Determine k, given that a(k) = 0.
-1, 1, 4, 8
Suppose -3*r + v - 223 = 196, r + 118 = -4*v. Let d = r + 140. Solve d - 5/2*h**2 + 4*h = 0.
-2/5, 2
Let w(f) = f. Let t be w(4). Let q be (-16)/(-6)*(-9)/(-4). Factor 3*c**t - 3*c**5 + 9 + q*c**3 - 9.
-3*c**3*(c - 2)*(c + 1)
Let y be -1 - -3*(-2)/(-6). Let -2*x**2 + y*x**3 - x**3 - 61 + 63 + x = 0. Calculate x.
-2, -1, 1
Let b(x) be the third derivative of -x**5/390 - 5*x**4/52 + 18*x**3/13 - x**2 - 23*x. Factor b(p).
-2*(p - 3)*(p + 18)/13
Let g = 11404 - 57014/5. Factor 0 + g*o**4 - 2/5*o**5 + 0*o - 8/5*o**2 + 0*o**3.
-2*o**2*(o - 2)**2*(o + 1)/5
Let v(j) = -5 + 4 + 3 - 1 + 2*j. Let b be v(1). Let 3*r**5 + 6*r**2 - 3*r + 15*r**3 - 15*r**b - 6*r**4 = 0. What is r?
-1, 0, 1
Let t(y) be the second derivative of -1/2*y**3 - 13*y - 1/6*y**4 + 0*y**2 + 1/20*y**5 + 0. Factor t(c).
c*(c - 3)*(c + 1)
Suppose -c - 17 = 4*y, 3*c + 5*y + 21 = 5. Let z(b) = 8*b**2 + 25*b + 33. Let x(s) = -15*s**2 - 50*s - 65. Let a(o) = c*x(o) + 5*z(o). Factor a(g).
-5*(g + 2)*(g + 3)
Let h be ((-20)/4 - -2) + -4. Let f be (h/2 + -4 + 9)*1. Factor 0*i**2 + 0*i - f*i**3 + 0.
-3*i**3/2
Let b be 14/21 + 1295/6. Let m = b + -216. Suppose m*d**2 - 3/2 + d = 0. What is d?
-3, 1
Factor 42/5*h + 52/15 - 2/3*h**2.
-2*(h - 13)*(5*h + 2)/15
Let f(n) be the first derivative of n**4 - 44*n**3/3 - 52*n**2 + 191. Factor f(v).
4*v*(v - 13)*(v + 2)
Suppose 3*c - 3*n = 3, 0 = -5*c + n + 11 + 14. Find w, given that 3*w + 0*w**2 - 10 + c*w**2 - 12*w**2 + 7*w**2 = 0.
-5, 2
Let k = -61 + 24. Let t = k + 54. Let 18 + 6*x + 2*x - x**2 - 17 - t = 0. What is x?
4
Let t(y) be the first derivative of -2*y**5/5 + 13*y**4/2 - 92*y**3/3 + 12*y**2 + 144*y + 350. Suppose t(u) = 0. What is u?
-1, 2, 6
Let k(q) = q**2 + 4*q + 21. Let t(h) = 2*h**2 + 13*h + 62. Suppose f = 5*i - 4, f = -i - 1 + 9. Let b(j) = f*t(j) - 17*k(j). Factor b(y).
-5*(y - 3)*(y + 1)
Let i(d) = 23*d**2 + 3*d + 5. Let n be (-40)/22 - (-4)/132*-6. Let b(c) = 12*c**2 + 2*c + 2. Suppose -j = j - 10. Let u(p) = j*b(p) + n*i(p). Factor u(x).
2*x*(7*x + 2)
Let g(r) be the first derivative of -r**3 - 33*r**2/2 + 126*r + 388. Factor g(p).
-3*(p - 3)*(p + 14)
Let s(f) be the second derivative of -f**7/2520 - f**6/90 - 2*f**5/15 + f**4 - 14*f. Let k(a) be the third derivative of s(a). Factor k(h).
-(h + 4)**2
Let t(i) be the second derivative of 5*i**7/42 - i**6 + 13*i**5/4 - 5*i**4 + 10*i**3/3 + 6*i - 8. Let t(k) = 0. What is k?
0, 1, 2
Let d = -187/4 - -47. Suppose -4*p + 27 = -7*t + 4*t, -2*p + 4*t = -26. Solve -3/4*g**2 + 0 - 1/2*g - d*g**p = 0.
-2, -1, 0
Let z(c) be the second derivative of -3*c**6/10 - 57*c**5/20 + 113*c**4/12 - 55*c**3/6 + 4*c**2 - c + 4. Suppose z(o) = 0. Calculate o.
-8, 1/3, 1
Let c(l) be the second derivative of 49*l**4/120 - 7*l**3/15 + l**2/5 - 35*l - 3. Factor c(t).
(7*t - 2)**2/10
Let u be (-150)/(-120)*1*8. Let q(c) = 4*c**2 + 2*c + 1. Let a be q(-1). Factor 5*r + u*r**2 + 11*r - r - 5*r**a.
-5*r*(r - 3)*(r + 1)
Let t(z) be the third derivative of -z**5/15 + 15*z**4 - 1350*z**3 + z**2 - 10. Factor t(q).
-4*(q - 45)**2
Suppose 2*p - 2*v = 8, 3*p + 3*v - 18 = -0*p. Factor -27*x**5 + 90*x**3 + 30*x**p + 27 + 99*x + 27*x**2 + 27*x**4 + 111*x**2.
3*(x + 1)**3*(x + 3)**2
Let u(m) be the third derivative of -2*m**7/15 + 43*m**6/15 + 11*m**5 + 22*m**4/3 - 56*m**3/3 - 59*m**2. Let u(f) = 0. What is f?
-1, 2/7, 14
Let x(c) = c**2 + c. Let d(z) = z**2 + 5*z. Let a(v) = d(v) - 3*x(v). Factor a(p).
-2*p*(p - 1)
Let j(s) = 11*s - 68. Let c be j(7). Let v(d) = d**2 - 3*d - 51. Let n be v(c). Determine i, given that 20/9*i**n + 14/9*i**4 - 8/9*i**2 - 2/3 - 20/9*i = 0.
-1, -3/7, 1
Let r(q) be the third derivative of -q**6/420 + q**5/70 + 3*q**4/28 + 5*q**3/21 + 877*q**2. Factor r(z).
-2*(z - 5)*(z + 1)**2/7
Let o(m) be the third derivative of -m**6/360 - m**5/10 + 32*m**2 - 4*m. Factor o(r).
-r**2*(r + 18)/3
Suppose 2*b - 2 = 2*m, 4*m = b + 2*m. Let o be (1/(5/7) - b)/(-1). Determine d so that 9/5*d + 6/5 - o*d**3 + 0*d**2 = 0.
-1, 2
Let v(j) be the first derivative of j**2 - 20 + 0*j - 2/3*j**3. Factor v(s).
-2*s*(s - 1)
Let j(x) be the second derivative of -x**4/8 - 77*x**3 - 17787*x**2 - 780*x. Factor j(d).
-3*(d + 154)**2/2
Suppose -7*o + 12 = -2. Factor -2*m**2 + 20*m**3 - o*m**2 - 4*m**5 + 51 - 32*m - 67 + 4*m**4.
-4*(m - 2)**2*(m + 1)**3
Factor -3/2*h - 1/2*h**2 + 5.
-(h - 2)*(h + 5)/2
Let a be ((-1)/(-2))/(5 + 133/(-28)). Let d(c) be the first derivative of 1/2*c + 1/2*c**a - 1/6*c**3 - 5 - 1/4*c**4. Factor d(o).
-(o - 1)*(o + 1)*(2*o + 1)/2
Let b(a) be the third derivative of a**8/6720 - a**7/2520 - a**6/720 + 17*a**5/60 + 4*a**2. Let r(u) be the third derivative of b(u). What is m in r(m) = 0?
-1/3, 1
Let p be (-42)/65 - 25/(-625)*20. Solve 6/13*j**3 + 0 - 2/13*j**4 + p*j - 6/13*j**2 = 0.
0, 1
Let n(g) be the third derivative of 5*g**6/8 - 11*g**5 + 41*g**4/2 - 16*g**3 + 83*g**2 - 2*g. Factor n(p).
3*(p - 8)*(5*p - 2)**2
Determine o so that 2/13*o**4 - 14/13*o**3 + 18/13*o**2 + 54/13*o - 108/13 = 0.
-2, 3
Let t = 76 - 64. Let -29 - 2*c**3 + 10*c - t*c + 4*c**2 + 29 = 0. What is c?
0, 1
Suppose 2*q + 2 + 12 = 4*u, -4*u - 5*q = -21. Let i(v) be the first derivative of 2 + 1/4*v**u + 1/3*v**3 + 0*v + 0*v**2. Factor i(t).
t**2*(t + 1)
Let -846*g + 2 + 844*g - 5 + g**2 = 0. What is g?
-1, 3
Find z such that 87/2*z + 495/2*z**2 + 1377/2*z**3 + 3 + 486*z**5 + 1863/2*z**4 = 0.
-2/3, -1/3, -1/4
Let a(w) be the first derivative of -w**4/32 - 2*w**3/3 - 51*w**2/16 - 9*w/2 - 155. Solve a(o) = 0.
-12, -3, -1
Let f(u) be the third derivative of -u**8/840 - 4*u**7/525 + u**6/100 + 3*u**5/25 - 5*u**2 + 4. Solve f(m) = 0.
-3, 0, 2
Let m = -12/2449 + 19724/26939. Suppose m + 14/11*x + 4/11*x**2 - 2/11*x**3 = 0. Calculate x.
-1, 4
Determine a, given that -90/11*a**4 - 136/11*a + 24/11 + 164/11*a**3 + 94/11*a**2 = 0.
-1, 2/9, 3/5, 2
Suppose 4*z + 4*d + 24 = 0, -5*z = -3*z + 4*d + 8. Let p = z + 13. Suppose -p*y**2 + 2*y**2 + y**3 - 3*y**2 + 7*y**2 = 0. What is y?
-1, 0
Let x(j) = -21*j - 10 - 27 + 4*j**3 + 13*j**2 + 5. Suppose 141*v + 45 = 132*v. Let q(g) = 2*g**3 + 6*g**2 - 10*g - 16. Let r(k) = v*q(k) + 2*x(k). Factor r(m).
-2*(m - 2)*(m + 2)**2
Let r(u) be the first derivative of u**4/7 - 128*u**3/21 + 512*u**2/7 + 570. Let r(x) = 0. Calculate x.
0, 16
Determine h, given that 44/5*h**2 + 4/5*h**3 - 4/5*h - 44/5 = 0.
-11, -1, 1
Let x(k) be the second derivative of 5*k**4/36 + 85*k**3/9 - k - 73. Factor x(n).
5*n*(n + 34)/3
Let u(s) = s**4 - 2*s**2 - 1. Let k(a) = -3376*a**4 - 45900*a**3 + 18722*a**2 - 2512*a + 113. Let f(w) = -3*k(w) - 3*u(w). Find n, given that f(n) = 0.
-14, 2/15
Let x(j) be the second derivative of j**7/8820 + j**6/252 + 3*j**5/140 + 3*j**4 + 27*j. Let m(t) be the third derivative of x(t). Factor m(n).
2*(n + 1)*(n + 9)/7
Let l(z) be the first derivative of -2*z**3 - 7*z**2/3 + 4*z/3 + 296. Find f such that l(f) = 0.
-1, 2/9
Let r be 111/39 - (-44)/286. Let t(z) be the first derivative of -3/14*z**2 + 0*z - 5 - 1/7*z**r. Factor t(g).
-3*g*(g + 1)/7
Factor 3*x**2 + 15/4*x + 3/4*x**3 + 3/2.
3*(x + 1)**2*(x + 2)/4
Let b = -21/221 + 989/1105. Factor 81/5*p**2 + 36/5*p + b.
(9*p + 2)**2/5
Let f(r) be the first derivative of 2*r**3/9 - 16*r**2 + 384*r + 41. Suppose f(a) = 0. Calculate a.
24
Let z = 96/5 + -19. Let r be ((2 + 9/(-5))*1)/(595/1190). Solve 2/5 + z*l - r*l**2 - 1/5*l**3 = 0 for l.
-2, -1, 1
Find r such that -8281/5*r + 0 - 182/5*r**2 - 1/5*r**3 = 0.
-91, 0
Let m(h) be the second derivative of -1/3*h**3 + 1/5*h**5 - 1/6*h**4 - 12*h + 0*h**2 + 0. Let m(z) = 0. Calculate z.
-1/2, 0, 1
Let w(a) be the second derivative of a**7/315 + 8*a**6/225 + 7*a**5/50 + a**4/5 - 5*a - 9. What is z in w(z) = 0?
-3, -2, 0
Let x(m) be the third derivative of -24*m**2 - 1/840*m**6 - 1/56*m**4 + 1/42*m**3 + 1/140*m**5 + 0*m + 0. Factor x(f).
-(f - 1)**3/7
Let r = -1194 + 2389/2. Find u such that 1/2*u**3 - u**2 + 0 + r*u = 0.
0, 1
Let m(r) = r**3 + 6*r**2 + 5*r + 3. Let p be m(-5). Factor -6*z + 11*z**4 + 0*z**4 - z**4 + 24*z**p + 5*z**4 + 3*z**2.
3*z*(z + 1)**2*(5*z - 2)
Let d(q) = q**3 + 4*q**2 - 5*q - 10. Let n be d(-4). Factor -2 + 4*r**2 + 6*r + n - 3*r**2 - 3*r**2.
-2*(r - 4)*(r + 1)
Solve -21/4*d**3 + 2*d + 13/4*d**2 + 0 = 0 for d.
-8/21, 0, 1
Su