**5 - 43 + 226*k + 174*k - 173.
-(k - 1)**2*(k + 6)**3
Let t(x) be the first derivative of 20/33*x**3 + 34 + 48/11*x - 1/22*x**4 - 28/11*x**2. Factor t(z).
-2*(z - 6)*(z - 2)**2/11
Let k(z) be the second derivative of 2/13*z**4 + 2/13*z**2 + 0 - 2/65*z**5 - 3/13*z**3 - 40*z. Find a such that k(a) = 0.
1/2, 2
Factor 1744*b**4 - 187369*b**2 - 171126*b**2 - 365631*b**2 - 1748*b**4 - 170222*b**2 + 81385668*b + 3276*b**3.
-4*b*(b - 273)**3
Suppose 2*q = 5*u - 10, q + 2*u + 0 = 4. Let m be (4 + -4 + q)/(-1). Factor -1/3*g + g**2 + m.
g*(3*g - 1)/3
Let z(i) = i**3 - 12*i**2 + 5*i - 2. Let s be z(11). Let w = s + 68. Suppose w - 1/5*g**4 - 2/5*g**2 + 3/5*g**3 + 0*g = 0. Calculate g.
0, 1, 2
Factor -378*k**4 + 229*k + 16 - 76*k**2 - 249*k + 390*k**4 - 28*k**3.
4*(k - 4)*(k + 1)**2*(3*k - 1)
Let n(v) be the first derivative of 3/4*v**2 + 1/6*v**3 + 32 + 0*v. Factor n(m).
m*(m + 3)/2
Determine v so that -380/3*v + 5/6*v**2 + 14440/3 = 0.
76
Factor 65/2*p + 845/4 + 5/4*p**2.
5*(p + 13)**2/4
Suppose -295*n + 586 = -4. Find w, given that -2/5*w - 8/5 + 1/5*w**n = 0.
-2, 4
Let u(p) = -40*p + 9*p + 5 - p**2 + 20*p. Let q(i) be the third derivative of i**5/30 + i**4/2 - 2*i**3/3 + i**2. Let k(a) = 3*q(a) + 4*u(a). Factor k(g).
2*(g - 2)**2
Let i(u) = -5*u**3 - 98*u**2 + 216*u - 216. Let t(f) = f**3 + 24*f**2 - 54*f + 54. Let d(z) = 6*i(z) + 26*t(z). Factor d(o).
-4*(o - 3)**3
Let z be 3/(6/4)*(6 + -16 - -11). Find u, given that 4/5 - 2/5*u - 2/5*u**z = 0.
-2, 1
Let u = 10 - 6. Let b(s) = -s**3 + 8*s**2 - 2*s - 16. Let a be b(7). Find m such that -24*m - 6*m**u + 15*m**3 - 42*m**2 + 6*m + a*m**3 = 0.
-1/3, 0, 3
Let w be -3 - 6/(-2) - 23/(276/(-24)). Let 0 - w*s**3 + 2/3*s + 7/3*s**4 - 1/3*s**2 - 2/3*s**5 = 0. Calculate s.
-1/2, 0, 1, 2
Let h(u) be the first derivative of -2*u**6/3 + 4*u**4 + 8*u**3/3 - 6*u**2 - 8*u - 183. Solve h(t) = 0.
-1, 1, 2
Let w(h) be the third derivative of -h**5/40 + 5*h**4/2 - 100*h**3 + 5*h**2 + 1. Determine q so that w(q) = 0.
20
Let h(n) = -n**3 - 6*n**2 - 7*n - 5. Let a be h(-5). Find u, given that -5*u + u**2 + a*u**2 - u**2 = 0.
0, 1
Let v(g) = -60*g + 543. Let c be v(9). Let q(k) be the first derivative of 9/4*k**4 + 3/5*k**5 + c*k**3 - 2 + 3/2*k**2 + 0*k. Factor q(w).
3*w*(w + 1)**3
Let n(g) = -2*g**3 + g**2 - g - 2. Let j be n(-1). Factor 5*h**3 - 17*h**3 + 10*h - 12*h - 8*h**j - 2*h**5 - 8*h**4.
-2*h*(h + 1)**4
Suppose 32*f - 26 = 20*f + 10. Suppose 2/11*d**f + 0*d**2 - 2/11*d + 0 = 0. What is d?
-1, 0, 1
Let v be (-6*6/(-27))/((-1)/(-3)). Find l, given that -v*l**2 - 2*l**2 - 28*l + 4*l**2 - 98 = 0.
-7
Let p(i) be the first derivative of -i**4/4 + 5*i**3/3 + 9*i**2/2 - 9*i + 6. Let u be p(6). Determine g so that 10*g**2 + 5 + u*g - 7*g**2 - 4 + 5 = 0.
-2, -1
Let l be ((-2)/(-1))/((-6)/(-51)) - 1. Find w, given that 2*w**2 + 2*w**5 - 20*w**3 + l*w**3 + 6*w**4 + 10*w**3 = 0.
-1, 0
Let o(f) be the first derivative of -35*f**4/24 - 37*f**3/9 - f**2/3 + 4*f/3 + 218. Solve o(m) = 0.
-2, -2/5, 2/7
Factor -289/6 - 17/3*x - 1/6*x**2.
-(x + 17)**2/6
Let w = 36 - 42. Let l be w/8 - 45/(-30). Factor 0*x**2 + 3/2*x**3 + 0*x**4 - 3/4*x - l*x**5 + 0.
-3*x*(x - 1)**2*(x + 1)**2/4
Let s = 1716 - 1716. Let j(p) be the second derivative of -1/7*p**4 - 3/140*p**5 + 6/7*p**2 + 1/14*p**3 + s - 12*p. Determine m, given that j(m) = 0.
-4, -1, 1
Factor 4*x**3 - 2*x + 31*x - 61*x - 48 + 4*x**2.
4*(x - 3)*(x + 2)**2
Suppose -2*y - 8 = 0, 0*x + 3*y = -4*x + 48. Factor 14*s + 0 + 14*s + x - 10*s + 3*s**2.
3*(s + 1)*(s + 5)
Let s(v) be the first derivative of -3*v**5/20 - 15*v**4/16 + 31*v**3/4 - 129*v**2/8 + 27*v/2 + 381. Suppose s(n) = 0. Calculate n.
-9, 1, 2
Let g(i) be the second derivative of -i**4/72 - 17*i**3/18 - 289*i**2/12 + 45*i. Let g(d) = 0. What is d?
-17
Factor 0*t**3 - 2*t**3 - 158*t**2 + 119*t**2 + 5*t**3.
3*t**2*(t - 13)
Let o(v) = -4*v**3 - 167*v**2 - 1377*v + 577. Let c(r) = -r**3 - r**2 + 1. Let p(i) = 2*c(i) + 2*o(i). Factor p(a).
-2*(a + 17)**2*(5*a - 2)
Let o be 4/(-12)*((-56)/7)/8. Let k(w) be the first derivative of 0*w - o*w**2 + 1/12*w**4 + 1/9*w**3 + 9. Let k(s) = 0. What is s?
-2, 0, 1
Let p(m) be the second derivative of 1/12*m**4 - 1/5*m**2 + 3/10*m**3 - 8*m + 0. Factor p(s).
(s + 2)*(5*s - 1)/5
Let f(u) = 15*u**4 - 15*u**3 + 5*u**2 + 30*u + 5. Let c(w) = 2*w**4 + w**3 + 1. Let z(h) = -5*c(h) + f(h). Suppose z(n) = 0. What is n?
-1, 0, 2, 3
Let s(c) = c**3 + 70*c**2 + 941*c + 92. Let h be s(-18). Factor 0*o + 0 - 2/13*o**3 - 4/13*o**h.
-2*o**2*(o + 2)/13
Let o(h) be the third derivative of 0*h + 0 + 5/3*h**3 - 35/24*h**4 + 35*h**2 - 3/4*h**5. Find l such that o(l) = 0.
-1, 2/9
Let w be (224/(-273) - (-4)/26)*21. Let r be (6/63*-3)/(10/w). Factor -2/5*m**5 + 2*m**4 + 4*m**2 + r - 2*m - 4*m**3.
-2*(m - 1)**5/5
Let n(c) be the second derivative of -c**8/840 + c**7/105 - c**6/36 + c**5/30 - 17*c**3/6 + 7*c. Let u(w) be the second derivative of n(w). Factor u(v).
-2*v*(v - 2)*(v - 1)**2
Let y be -20*54/16*4/2. Let p = y + 137. Solve 0*x**p + 0*x + 0*x**3 + 1/3*x**5 + 0 + 0*x**4 = 0.
0
Let x = 24 + -16. Determine f, given that 13*f**2 - 3*f**5 - 2*f - x*f**2 + f**4 + 12*f**3 - f**5 = 0.
-1, 0, 1/4, 2
Let l = 6509/2 - 3250. Let 3/2*m**3 + 3/2 + l*m**2 + 9/2*m = 0. What is m?
-1
Let s(x) be the second derivative of x**4/18 + 2*x**3 + 27*x**2 + 35*x. Factor s(i).
2*(i + 9)**2/3
Let -3*v**4 + 176*v + 2*v**4 + 96 + 3*v**4 + 148*v**2 - 46*v**2 + 24*v**3 = 0. What is v?
-4, -3, -1
Suppose g = -2*o + 13 - 2, -5*o + 25 = 2*g. Suppose -o*p - 2*n = p + 2, 5*p = 3*n + 3. Find b, given that -1/2*b**3 + p + 0*b + 1/4*b**2 + 1/4*b**4 = 0.
0, 1
Let k(t) be the third derivative of t**5/12 - 65*t**4/4 - 395*t**3/6 + 7*t**2 - 1. Solve k(q) = 0.
-1, 79
Let t be (4 - 2)/(((-24)/80)/(3/(-35))). Find j such that -2/7*j**2 - 6/7*j - t = 0.
-2, -1
Let g be 4366/1121 - (21/(-19) - -1). Suppose -g*x**2 - 4/3*x**5 + 0 + 0*x + 4/3*x**3 + 4*x**4 = 0. What is x?
-1, 0, 1, 3
Suppose -5*a = 5*m - 60, 0*a + 2*a = 3*m - 21. Let z = m + -7. Find u such that -31*u + 44*u**4 + 8 - 32*u**3 - 4*u**z - 7*u**5 + 114*u**2 - 71*u**3 - 21*u = 0.
2/7, 1, 2
Let y(m) = m**2 - 4. Let s be y(3). Let x(d) = -d + 1. Let g(o) = o**2 - 2*o + 1. Let p(k) = s*g(k) - 15*x(k). Suppose p(u) = 0. What is u?
-2, 1
Let u(k) be the second derivative of k**7/1260 - k**6/30 + 3*k**5/5 + k**4/6 - 43*k. Let t(v) be the third derivative of u(v). Solve t(f) = 0 for f.
6
Solve 45*f**2 + 89*f**2 + 102*f**2 - 34*f**2 - 320*f - 10*f**2 + 4*f**4 + 192 - 48*f**3 = 0.
2, 6
Factor 2/7*n**3 + 8/7*n + 0 - 10/7*n**2.
2*n*(n - 4)*(n - 1)/7
Suppose 5*x = 24*r - 27*r + 1, -3*x + 23 = -r. Let 38/9*h**3 + 22/9*h**2 + 2/3*h**x + 26/9*h**4 + 4/9*h + 0 = 0. Calculate h.
-2, -1, -1/3, 0
Let s(j) = 12*j**3 + 66*j**2 - 240*j + 309. Let z(l) = 3*l**3 + 16*l**2 - 60*l + 77. Let w(u) = 5*s(u) - 21*z(u). Determine p so that w(p) = 0.
-6, 2
Let p = -104/3 + 655/6. Let g = p + -74. Determine q so that 0*q + 0 - 1/2*q**2 + g*q**4 + 1/2*q**3 - 1/2*q**5 = 0.
-1, 0, 1
Factor -1231*n**2 - 5808 + 8272*n - 306*n**2 + 622*n**2 - 4*n**4 - 1102*n**2 - 635*n**2 + 192*n**3.
-4*(n - 22)**2*(n - 3)*(n - 1)
Let i(w) be the first derivative of -3*w**4/8 - 17*w**3/18 - 7*w**2/12 + w/6 + 69. Factor i(v).
-(v + 1)**2*(9*v - 1)/6
Let f(w) = 6*w**2 - 3*w - 6. Let n = -86 - -83. Let o(r) = -11*r**2 + 7*r + 13. Let z(g) = n*o(g) - 5*f(g). Factor z(v).
3*(v - 3)*(v + 1)
Suppose 0 = 9*s - 3*s - 24. Let o be s/(-6) + 265/15. What is k in -2*k**3 + 17*k - 2*k**4 - o*k = 0?
-1, 0
Let y(b) = b**3 + 14*b**2 + 24*b - 2. Let z be y(-12). Let o be 8 - 6 - (z + 1). Factor 4/3*x**2 - 2/3*x - 4/3 + 2/3*x**o.
2*(x - 1)*(x + 1)*(x + 2)/3
Let u(v) be the first derivative of -2*v**3/21 + 240*v**2/7 - 28800*v/7 - 261. Suppose u(j) = 0. Calculate j.
120
Factor 2*x**2 - 242 - 33*x - 213 + 3*x**2 + 4*x - x.
5*(x - 13)*(x + 7)
Suppose 3*b - 487 = 5*p, 3*b - 4*b + 3*p + 169 = 0. Let t = b - 149. Suppose 1/6*d**4 - 1/6*d**2 + 0 - 1/6*d**t + 0*d + 1/6*d**3 = 0. What is d?
-1, 0, 1
Let y(t) be the second derivative of -t**7/7 + t**6/20 + 21*t**5/10 - 31*t**4/8 + 3*t**3/2 + t + 11. Suppose y(b) = 0. Calculate b.
-3, 0, 1/4, 1, 2
Let o = 164/5 - 32. Let j = 917/2290 - 1/2290. Factor o*y + 0 + j*y**3 - 6/5*y**2.
2*y*(y - 2)*(y - 1)/5
Factor 58/5 - 1/5*o**2 - 27/5*o.
-