+ 1. What is k in b(k) = 0?
-2, 0, 1, 8
Let w(r) be the first derivative of -1 + 0*r**3 - 1/13*r**2 + 0*r + 1/26*r**4. Factor w(h).
2*h*(h - 1)*(h + 1)/13
Let i(f) = -4*f**2 + 4*f - 6. Let j(t) = t**2 - t + 1. Let z(w) = 3*i(w) + 14*j(w). Let p(y) = y. Let o(h) = 4*p(h) + z(h). Find x such that o(x) = 0.
-2, 1
Factor -312272 + 31730*y**3 - 143353 + 941625*y + 3*y**5 - 685*y**4 + 2*y**5 - 517050*y**2.
5*(y - 45)**3*(y - 1)**2
Suppose d - 5*x - 7 = 0, -2*x + x + 1 = d. Factor -2/5*r + 4/5 - 6/5*r**d.
-2*(r + 1)*(3*r - 2)/5
Let a(i) = -2*i**3 - 30*i**2 - 60*i - 40. Let x(u) = -901*u**3 - 30*u**2 - 49*u - 11*u - 40 + 900*u**3. Let m(z) = 4*a(z) - 3*x(z). Factor m(o).
-5*(o + 2)**3
Suppose 4/9*v**2 - 4/9*v - 56/3 = 0. What is v?
-6, 7
Let n(w) be the third derivative of -33*w**2 + 1/120*w**5 + 0 + 1/6*w**3 + 0*w - 1/16*w**4. Factor n(q).
(q - 2)*(q - 1)/2
Let q(n) = -n**2 - 2*n. Let k(x) = 9*x**2 + 53*x + 70. Let y(h) = -k(h) - 4*q(h). Find u, given that y(u) = 0.
-7, -2
Let a(o) be the second derivative of -2*o**7/21 - 8*o**6/5 - 36*o**5/5 + 2*o - 130. What is f in a(f) = 0?
-6, 0
Factor 155/4*v - 27/2*v**2 - 51/2 + 1/4*v**3.
(v - 51)*(v - 2)*(v - 1)/4
Let c(t) be the second derivative of t**8/1680 + t**7/630 + 25*t**4/12 + 12*t. Let r(u) be the third derivative of c(u). Find m, given that r(m) = 0.
-1, 0
Factor -8034*d**2 - 24 + 9*d + 8038*d**2 - 29*d.
4*(d - 6)*(d + 1)
Suppose 5*j = -2*j - 35. Let l(g) = -4*g**3 - 23*g**2 + 91*g - 65. Let s(n) = 3*n**3 + 15*n**2 - 61*n + 43. Let w(k) = j*l(k) - 7*s(k). Factor w(q).
-(q - 6)*(q - 2)**2
Let d(b) = -b**3 + 44*b**2 - 74*b - 2009. Let k be d(41). Factor 1/2*u**2 + 1/6*u**4 + k - 1/2*u**3 - 1/6*u.
u*(u - 1)**3/6
Let o(z) = 4*z**3 - 16*z**2 - 12*z + 12. Let h(t) = t**2 + t - 1. Let s(g) = 12*h(g) + o(g). Factor s(u).
4*u**2*(u - 1)
Let u = 12105 + -12103. Factor -1/4 - 1/2*q - 1/4*q**u.
-(q + 1)**2/4
Let d = -27859/3 - -9298. Factor 25/3*p - d*p**2 + 10/3.
-5*(p - 1)*(7*p + 2)/3
Let u be -3*(5/(-3) + 0). Let i(y) = -y**2 + 5*y + 2. Let d be i(u). Factor -14*k**3 - 9*k**d - 6 + 2*k**3 + 27*k + 0*k**3.
-3*(k - 1)*(k + 2)*(4*k - 1)
Let p(y) be the second derivative of y**4/4 - 11*y**3/2 + 36*y**2 - y + 11. Factor p(x).
3*(x - 8)*(x - 3)
Let l(f) be the second derivative of -f**7/5040 + f**6/1440 + f**5/120 - 4*f**4 - 3*f. Let u(o) be the third derivative of l(o). Factor u(i).
-(i - 2)*(i + 1)/2
Let z(s) = 3*s**5 + 6*s**4 + 3*s**3 + 3*s**2 - 3. Let m(o) = -o**4 - o**3 - o**2 + 1. Let w(v) = -3*m(v) - z(v). Determine k, given that w(k) = 0.
-1, 0
Let p be 3*(6/189)/((-38)/(-2166)) + -5. Let -p*g**2 + 6/7 - 3/7*g = 0. Calculate g.
-2, 1
Factor 36*b**3 + 4*b**4 + 131*b - 32 - 272*b + 28*b**2 + 105*b.
4*(b - 1)*(b + 1)**2*(b + 8)
Suppose 16 = -394*v + 402*v. Factor -8/5 + 16/5*j**3 + 44/5*j**v + 4*j.
4*(j + 1)*(j + 2)*(4*j - 1)/5
Let k(o) be the first derivative of -16*o**3/21 + 29*o**2/7 + 24*o/7 - 20. Solve k(h) = 0 for h.
-3/8, 4
Let h = 2 - -1. Let o be ((-2)/8 - 1)/(-5). Find u such that -o*u**h + 0 + 0*u**2 + 1/4*u = 0.
-1, 0, 1
Let w(o) be the second derivative of o**4/16 - o**3 + 21*o**2/8 - 11*o. Factor w(j).
3*(j - 7)*(j - 1)/4
Let f be 1/1 + (32 - 27). Let n(i) be the second derivative of 0*i**3 - 3*i - 1/18*i**4 - 1/15*i**5 + 0*i**2 + 7/45*i**f - 4/63*i**7 + 0. Factor n(x).
-2*x**2*(x - 1)**2*(4*x + 1)/3
Let x = -140 + 136. Let u be (0 + 4)*(-2)/x. Factor -2/5*a**u + 2/5*a + 4/5.
-2*(a - 2)*(a + 1)/5
Let s(i) = i**2 + i. Let z(y) = -y**5 + y**4 + y**3 - 3*y**2 - 2*y. Let u be (-4 - -2) + -2 + 3. Let g(a) = u*z(a) - 2*s(a). Suppose g(t) = 0. What is t?
-1, 0, 1
Suppose 2*p = 4 + 2. What is v in -2*v**4 + 3*v**p + 51*v + 2 + 4*v**4 - 4*v**2 - 54*v = 0?
-2, -1, 1/2, 1
Let x(y) be the second derivative of -11/15*y**4 + 0 + 10*y + 4/15*y**3 + 0*y**2. Factor x(j).
-4*j*(11*j - 2)/5
Let c(p) = -p**2 - 22*p - 16. Let j be c(-21). Factor 13*r**2 + 13*r**2 + 18*r**3 + 3*r**4 - j*r - 27 - 2*r**2 - 13*r.
3*(r - 1)*(r + 1)*(r + 3)**2
Let d(k) be the second derivative of k**5/40 - 17*k**4/24 - 3*k**3/2 + 55*k. Factor d(y).
y*(y - 18)*(y + 1)/2
Let b = -142/10731 - -10/147. Let a = 118/511 + b. Factor -6/7*y**3 + 0 - a*y - 8/7*y**2.
-2*y*(y + 1)*(3*y + 1)/7
Suppose 0 = -3*c + 9, -2*x - 5*c + 14 = -7. Let w(d) be the third derivative of 0 - 1/14*d**4 + 3/70*d**5 - 9*d**2 + 0*d + 1/21*d**x. Solve w(n) = 0.
1/3
Let n(o) = 8*o**2 - 17*o. Let c(z) = -z**2 + 2*z. Suppose -6*k + 255 = -k. Let t(y) = k*c(y) + 6*n(y). Factor t(f).
-3*f**2
Let w(f) be the third derivative of -f**5/20 + 13*f**4/8 + 7*f**3 - 3*f**2 - 5. Factor w(q).
-3*(q - 14)*(q + 1)
Let z = -448 - -253. Let q = z - -3337/17. Factor q*r + 4/17 + 18/17*r**2.
2*(r + 1)*(9*r + 2)/17
Let r(d) be the third derivative of -d**5/120 + 7*d**4/32 + 11*d**3/24 + 206*d**2. Factor r(p).
-(p - 11)*(2*p + 1)/4
Let m = -13803 + 13805. Suppose -12/7*v**m - 2/7*v + 0 = 0. What is v?
-1/6, 0
Let x(h) = 6*h - 1. Let q be x(2). Suppose -6 - 42 = -2*k. Suppose 28*u**3 - k*u**4 - 4*u**2 - 13*u**3 + u**5 + u**2 + q*u**5 = 0. What is u?
0, 1/2, 1
Suppose 7*v - 4*v - 4*g = 7, 4*g + 31 = -5*v. Let z be 0 + (-5 - -4) - v. Determine n, given that -5*n**z - 20*n + 0*n + 10*n + 5*n**3 = 0.
-1, 0, 2
Let w(t) be the third derivative of 11*t**8/5376 - t**7/224 - t**6/288 + 2*t**4/3 + 13*t**2. Let v(l) be the second derivative of w(l). Factor v(m).
5*m*(m - 1)*(11*m + 2)/4
Find x such that 20 - 20*x - 13 - 7 + x**2 = 0.
0, 20
Suppose -2*m = -3*k + 18, 7 = -2*k + 89*m - 94*m. Factor 4/7*t**3 + 0*t + 2/7*t**5 + 6/7*t**k + 0*t**2 + 0.
2*t**3*(t + 1)*(t + 2)/7
Let w(z) be the second derivative of z**4/30 + 82*z**3/15 + 1681*z**2/5 - 27*z. Determine v, given that w(v) = 0.
-41
Suppose g = -68 + 66. Let n be 3 - (g/(-10) - 98/(-35)). Let 2/3*q**3 + 2/9*q**4 + 2/3*q**2 + n + 2/9*q = 0. Calculate q.
-1, 0
Factor 1/2*n**4 + 75/2*n**2 + 27/2*n**3 + 73/2*n + 12.
(n + 1)**3*(n + 24)/2
Let k = 74 + -71. Let -4 - 16*p**2 - 4 + 9*p**2 - p**k + 4*p + 9*p**2 = 0. Calculate p.
-2, 2
Let z(c) = -2*c**2 + c + 2. Let b(j) = -j**2 + 57*j + 786. Let h(w) = -2*b(w) + 2*z(w). Factor h(g).
-2*(g + 28)**2
Let a(w) be the second derivative of -w**5/20 + w**4/3 + 7*w**3/6 - 5*w**2 - 9*w - 3. Factor a(u).
-(u - 5)*(u - 1)*(u + 2)
Let k = -2338 - -2362. Solve -92/5*t**2 - k*t**3 - 24/5*t - 2/5 - 10*t**4 = 0.
-1, -1/5
Let v = -13979 - -13981. Factor 1/4*y**5 + 1/2*y**v + 1/4*y**4 - 3/2*y**3 + 5/4*y - 3/4.
(y - 1)**3*(y + 1)*(y + 3)/4
Suppose 5*x - 3 = -4*m, -4*x = -2*x - 5*m - 21. Let u be (3/(-4))/(x/(-2)). Factor -u*h**2 + 0*h + 0*h**3 + 1/2*h**4 + 0.
h**2*(h - 1)*(h + 1)/2
Let j(g) be the second derivative of -g**6/6 - 19*g**5/12 - 55*g**4/24 + 10*g**3/3 - 21*g**2 + 18*g. Let v(f) be the first derivative of j(f). Solve v(y) = 0.
-4, -1, 1/4
Let t be 2*(-2 - 3/(-2)) - -3. Suppose 26*u**2 + u**3 - 52*u**2 + 31*u**t - u - 5 = 0. What is u?
-5, -1, 1
Let n = 152 - 150. Suppose -3*k - 2*u + 22 = 0, 0*k = k + u - 9. Factor -3*q**n + 5*q**3 + k*q**4 + 3*q**3 + 7*q**2.
4*q**2*(q + 1)**2
Let s = 6404 - 6402. Factor 54/5 + 3/5*o**4 - 21/5*o**s + 9*o - 9/5*o**3.
3*(o - 3)**2*(o + 1)*(o + 2)/5
Let g(q) be the first derivative of 30*q + 95/2*q**2 - 65/3*q**3 + 7*q**5 - 95/4*q**4 - 52. Suppose g(h) = 0. Calculate h.
-1, -2/7, 1, 3
Let r(o) be the second derivative of 1/25*o**5 - 13*o - 1/150*o**6 + 0*o**2 + 0 - 1/12*o**4 + 1/15*o**3. Factor r(g).
-g*(g - 2)*(g - 1)**2/5
Let l(o) be the first derivative of -o**4 + 320*o**3/3 - 3354*o**2 + 12168*o + 80. Factor l(m).
-4*(m - 39)**2*(m - 2)
Let u(i) be the first derivative of i**9/1008 - i**8/560 - i**7/140 + 2*i**3/3 - 8. Let y(q) be the third derivative of u(q). What is r in y(r) = 0?
-1, 0, 2
Let u(f) be the third derivative of 0*f + 4/15*f**3 + 0 - 7*f**2 + 1/150*f**5 - 1/15*f**4. What is m in u(m) = 0?
2
Let n(z) be the first derivative of 25*z**4/4 + 65*z**3/3 - 15*z**2 - 276. Factor n(k).
5*k*(k + 3)*(5*k - 2)
What is w in 0 - 13/4*w**3 + 1/4*w**5 - 5/4*w**4 + 0*w - 7/4*w**2 = 0?
-1, 0, 7
Determine d, given that 0*d**3 - 2/15*d**4 - 4/15*d + 2/5*d**2 + 0 = 0.
-2, 0, 1
Let c = -11674/21 + 556. Let f(s) be the first derivative of 0*s**2 + 0*s - c*s**3 + 3. Factor f(g).
-2*g**2/7
Solve 1353 + f**4 - 813 + 294*f**2 + 1372*f + 28*f**3 + 1861 = 0 for f.
-7
Let a = -8993/5 - -1799.