/346047. Factor 12/13*b**3 - 24/13*b**2 + x*b - 2/13*b**4 + 0.
-2*b*(b - 2)**3/13
Let p = 38 - 33. Determine a, given that -42*a**3 - 10*a**5 - 4*a + 16*a**p + 22*a**2 - 14*a**5 + 32*a**4 = 0.
0, 1/2, 1, 2
Let g = 28 + -20. Suppose 11*b = g*b + 108. Let -b + o - 6*o**2 + 9*o**3 + 36 = 0. What is o?
0, 1/3
Let d(s) = 10*s**4 + 44*s**3 + 14*s**2 - 4*s + 4. Let f(i) = -20*i**4 - 86*i**3 - 29*i**2 + 7*i - 7. Let t(q) = 7*d(q) + 4*f(q). What is a in t(a) = 0?
-3, -3/5, 0
Let p(k) be the second derivative of 34*k - 2/57*k**4 - 1/57*k**3 + 0 + 1/190*k**5 + 4/19*k**2. Solve p(o) = 0 for o.
-1, 1, 4
Let g be (-11)/(-15) + 2/(-6). Let v be 12 + (-6)/((-270)/(-531)). Factor 1/5 - g*i + v*i**2.
(i - 1)**2/5
Let x(j) = 9*j**4 + 3*j**3 - 72*j**2 - 12*j + 9. Let g(n) = 2*n**4 + n**3 - 18*n**2 - 3*n + 2. Let m(v) = -15*g(v) + 4*x(v). Factor m(i).
3*(i - 2)*(i + 1)**2*(2*i - 1)
Let l(o) = -2*o**3 - 30*o**2 - 17. Let j be l(-17). Suppose 6 + 57*w + 3*w**4 + 12 + j*w**3 - 1112*w**3 + 63*w**2 = 0. Calculate w.
-6, -1
Let r(j) be the first derivative of 2/5*j**5 - 8/3*j**3 + 0*j - 13 - 1/2*j**4 + 4*j**2. Factor r(v).
2*v*(v - 2)*(v - 1)*(v + 2)
Let x(c) = c**2 + 3*c + 9. Let p(n) be the first derivative of n**3 + 5*n**2 + 27*n - 35. Let j(t) = 3*p(t) - 8*x(t). Suppose j(g) = 0. What is g?
-3
Let t be (-3)/4 + (-403)/(-468). Let b = 31/45 + t. Factor -b*r**4 + 2/5*r**5 + 4/5*r**2 + 0 + 0*r**3 - 2/5*r.
2*r*(r - 1)**3*(r + 1)/5
Let l(y) be the first derivative of y**4 - 32*y**3/3 - 69. What is q in l(q) = 0?
0, 8
Factor 2/7*x**3 - 2/7*x + 4/7*x**2 - 4/7.
2*(x - 1)*(x + 1)*(x + 2)/7
Let s(r) be the third derivative of 11*r**5/30 - 23*r**4/24 + r**3/6 + 267*r**2. Find i, given that s(i) = 0.
1/22, 1
Let s be (-12)/(-10)*200/60. Let z(u) be the first derivative of -2/3*u**3 + 0*u**2 + u**s + 6/5*u**5 - 9 + 0*u. Let z(k) = 0. Calculate k.
-1, 0, 1/3
Let t(b) be the third derivative of b**6/25 - 69*b**5/50 + 17*b**4/20 - 93*b**2. Determine d so that t(d) = 0.
0, 1/4, 17
Let x(i) be the first derivative of -1/3*i**2 + 0*i + 28 + 2/27*i**3. Factor x(c).
2*c*(c - 3)/9
Suppose -129*l + 22 = -236. Solve -i**l + 1/2*i**3 - 1/2*i + 1 = 0.
-1, 1, 2
Factor 200/7 + 2/7*w**2 + 104/7*w.
2*(w + 2)*(w + 50)/7
Let f(j) be the first derivative of j**5 - 35*j**4/4 + 65*j**3/3 + 15*j**2/2 - 90*j - 143. Factor f(c).
5*(c - 3)**2*(c - 2)*(c + 1)
Let d = 16 + -10. Suppose -8*p + 3 = -13. Factor 4*h**3 + 8*h**3 - 4*h**p + d*h**3 - 14*h**4.
-2*h**2*(h - 1)*(7*h - 2)
Let w(a) = 4*a**3 - 54*a**2 + 175*a + 643. Let x(b) = -10*b**3 + 136*b**2 - 438*b - 1608. Let f(j) = 12*w(j) + 5*x(j). What is t in f(t) = 0?
-2, 9
Let s(x) be the first derivative of -10/3*x**3 - 5/2*x**4 - 1/6*x**6 - x - x**5 - 13 - 5/2*x**2. Factor s(b).
-(b + 1)**5
Let v(q) be the second derivative of -3*q**5/20 - 97*q**4/12 - 400*q**3/3 - 128*q**2 + 20*q. Factor v(i).
-(i + 16)**2*(3*i + 1)
Let i(o) = -o**5 - 20*o**4 + 21*o**3 + 14*o**2 - 20*o - 6. Let s(t) = -t**5 + t**3 - t**2 - 1. Let n(b) = i(b) - 6*s(b). Determine v so that n(v) = 0.
-1, 0, 1, 2
Let q = 19/201 - -21776/1407. Let u = q - 15. Find w such that -12/7*w - u*w**2 - 8/7 = 0.
-2, -1
Let z(l) be the third derivative of -578*l**7/105 - 884*l**6/15 - 2806*l**5/15 - 52*l**4 - 6*l**3 + 128*l**2. Determine i, given that z(i) = 0.
-3, -1/17
Let v be (-24)/4 + 13 - (-146)/(-22). Factor v*z - 2/11*z**3 + 0 + 2/11*z**2.
-2*z*(z - 2)*(z + 1)/11
Let o(r) be the third derivative of r**10/37800 - r**8/1008 + r**6/45 - 3*r**5/20 + 2*r**2. Let p(d) be the third derivative of o(d). Find i such that p(i) = 0.
-2, -1, 1, 2
Let f(m) be the first derivative of -3*m**5/20 + m**4/2 + m**3/2 - 3*m**2 - 3*m + 2. Let h(x) be the first derivative of f(x). Factor h(r).
-3*(r - 2)*(r - 1)*(r + 1)
Let b = 9 - 7. Factor 13*y**2 + 8*y - 2*y**b + y**2.
4*y*(3*y + 2)
Suppose 2*z + 3 = 5*a, 4*z + a - 7 = -2*a. Suppose 3 = s + z. Factor -4 - s + 12*k**2 + 84*k**2 + 48*k**3 - 3*k.
3*(k + 2)*(4*k - 1)*(4*k + 1)
Let b(n) be the second derivative of -n**6/30 + n**5/4 + 11*n**4/12 - 11*n**3/2 + 9*n**2 + 155*n. Determine v, given that b(v) = 0.
-3, 1, 6
Let g(i) be the second derivative of i**7/168 + 11*i**6/120 + i**5/8 - 166*i. Factor g(z).
z**3*(z + 1)*(z + 10)/4
Let o(d) = 100*d - 196. Let s be o(2). Solve -2*p**s - 1/3*p**5 + 4*p - 2/3*p**2 - 11/3*p**3 + 8/3 = 0.
-2, -1, 1
Factor -2/3*p**4 - 26/3*p**3 - 22*p**2 - 62/3*p - 20/3.
-2*(p + 1)**3*(p + 10)/3
Let q(p) be the first derivative of -3*p**4/4 + 165*p**3 - 981*p**2/2 + 489*p + 424. Solve q(u) = 0.
1, 163
Let n(j) be the second derivative of j**4/2 - 23*j**3/2 + 180*j**2 - 2*j + 33. Let w(g) = -5*g**2 + 68*g - 361. Let f(s) = -2*n(s) - 3*w(s). Factor f(b).
3*(b - 11)**2
Let z(x) be the second derivative of x**5/10 - 13*x**4/3 + 140*x**3/3 + 392*x**2 + 107*x. What is t in z(t) = 0?
-2, 14
Let n(j) be the first derivative of -3/4*j**2 + 1/12*j**3 - 5 + 0*j. Factor n(y).
y*(y - 6)/4
Let y(a) be the first derivative of -a**6/8 - 27*a**5/20 - 9*a**4/2 - 4*a**3 + 67. Factor y(h).
-3*h**2*(h + 1)*(h + 4)**2/4
Suppose 10*l = -13*l. Let j(k) be the first derivative of -2/5*k**5 + l*k**3 - 2 + 0*k - 1/4*k**4 - 1/6*k**6 + 0*k**2. Suppose j(f) = 0. What is f?
-1, 0
Factor 55*s**3 + 7*s**2 - 33*s**3 - 23*s**3.
-s**2*(s - 7)
Suppose -27*z + 74*z - 141 = 0. Factor 1/6*t**2 - 1/6 - 1/6*t + 1/6*t**z.
(t - 1)*(t + 1)**2/6
Let o(z) be the first derivative of -1/6*z**3 + 0*z - 10 - 3/4*z**2. Let o(r) = 0. Calculate r.
-3, 0
Solve 130*y - 321 - 279 - 387*y**2 + 200*y**2 + 192*y**2 = 0.
-30, 4
Factor -4*w + 37 - 2*w + w**2 - 32 + 0*w.
(w - 5)*(w - 1)
Let i = -3/260 - -3921/1820. Factor -3/7*o**2 - 12/7 + i*o.
-3*(o - 4)*(o - 1)/7
Find d such that 283 + 3*d**2 + 248 - 477 + 33*d = 0.
-9, -2
Let j(v) be the third derivative of -v**6/24 - 2*v**5/3 - 65*v**4/24 - 5*v**3 - 17*v**2 - 7*v. Factor j(u).
-5*(u + 1)**2*(u + 6)
Let f = -42 - -46. Suppose -2*y = x - 5*x + 10, 0 = 2*x + f*y. Determine t so that -1/6 - 1/6*t**x + 1/3*t = 0.
1
Let o(a) be the third derivative of 2*a**2 - 1/7*a**3 + 0*a - 1/42*a**5 + 1/12*a**4 + 0 + 1/420*a**6. Factor o(v).
2*(v - 3)*(v - 1)**2/7
Let f(d) be the third derivative of -d**6/360 + d**5/180 + d**4/36 - 101*d**2. Factor f(x).
-x*(x - 2)*(x + 1)/3
Let y(d) be the first derivative of -d**4 - 4*d - 6 + 4/3*d**3 + 2*d**2. Solve y(p) = 0 for p.
-1, 1
Let k(g) be the third derivative of g**7/420 + g**6/240 - g**5/60 - 37*g**2. Factor k(t).
t**2*(t - 1)*(t + 2)/2
Suppose -3*j + 15 = 2*j. Let r be (-5 - -8)*5/j. Solve 25*p**4 + 192*p**2 + 11*p**4 + 144*p**3 + 6*p**r - 3*p**5 = 0.
-4, 0
Let x(v) be the second derivative of -v**7/231 - v**6/55 + 2*v**5/55 - 15*v + 5. Factor x(s).
-2*s**3*(s - 1)*(s + 4)/11
Let n(q) be the third derivative of 13/280*q**7 - 1/6*q**3 + 1/8*q**4 - 11/120*q**6 - 5/672*q**8 + 0 + 7/240*q**5 - 8*q**2 + 0*q. Solve n(g) = 0.
-1/2, 2/5, 1, 2
Suppose 6*j = 8*j + 8, 0 = t - 3*j - 14. Factor 3/5*l**3 + 0 - 3/5*l + 0*l**t.
3*l*(l - 1)*(l + 1)/5
Suppose 12 = k + 3*k + h, -12 = -4*k + 4*h. Factor -3*m**k - 4*m**2 + 4*m**2 + m**3 + 2*m**2.
-2*m**2*(m - 1)
Let m(k) be the second derivative of k**4/12 - 17*k**3/6 + 8*k**2 + 109*k. Let m(d) = 0. What is d?
1, 16
Let n(b) be the third derivative of -b**5/40 + 5*b**4/64 + 9*b**3/16 + 2*b**2 - 119*b. What is t in n(t) = 0?
-1, 9/4
Let m(u) be the second derivative of -2*u**6/15 - u**5/4 - u**4/12 - u + 37. Factor m(v).
-v**2*(v + 1)*(4*v + 1)
Factor 31/8*l + 0 + 1/8*l**3 + 4*l**2.
l*(l + 1)*(l + 31)/8
Suppose -3*n - 10 = -4*y, -n - 3 = -2*y + 3. Determine d so that 14*d**3 - 6*d**y + d**3 + 4*d**4 - 3*d**2 - 10*d**4 = 0.
0, 1/4, 1
Find o, given that -3/2*o**4 + 3/2*o**2 + 0 + 1/2*o**3 - 1/2*o = 0.
-1, 0, 1/3, 1
Factor -11*z**3 - 1/2*z**2 + 0 + 1/2*z**4 + 11*z.
z*(z - 22)*(z - 1)*(z + 1)/2
Let q(k) = k**2 + 29*k + 180. Let p be q(-9). Let x be (-10)/(-12) + (-6)/12. Factor 0*g + 0*g**3 + x*g**4 + 1/3*g**5 + 0 + p*g**2.
g**4*(g + 1)/3
Let o(w) be the second derivative of 12*w**2 - 2/3*w**4 - w + 2/3*w**3 + 3. Factor o(t).
-4*(t - 2)*(2*t + 3)
Suppose 9*k - 12*k + 12 = 0. Factor 507*m**3 - 507*m**3 - k*m**2 + m**4.
m**2*(m - 2)*(m + 2)
Let q(i) be the second derivative of -5*i**4/48 + 55*i**3/6 - 605*i**2/2 + 4*i + 7. Suppose q(c) = 0. Calculate c.
22
Factor 2/3*v**3 + 16/3*v**2 - 2/3*v*