(-6)). Find g, given that 2/7 + w*g**4 + 2/7*g**5 - 4/7*g**3 + 2/7*g - 4/7*g**2 = 0.
-1, 1
Let y(i) = -2*i**2 + 6*i - 6. Let x(r) be the second derivative of -r**4/3 + 11*r**3/6 - 11*r**2/2 - 5*r. Let u(w) = -4*x(w) + 10*y(w). Factor u(g).
-4*(g - 2)**2
Let n be (10 - 8 - 3)*(-2 + (-5 - -5)). Factor -2/3*b + 4/3 - 4/3*b**n + 2/3*b**3.
2*(b - 2)*(b - 1)*(b + 1)/3
Let u(t) = -3*t**4 - 38*t**3 - 64*t**2 + 59*t. Let m(o) = -o**3 - o. Let i(v) = -5*m(v) + 5*u(v). Suppose i(j) = 0. What is j?
-10, -3, 0, 2/3
Let o = 71 + -46. Let h = 28 - o. Suppose -6*g**5 - 9*g + 9*g**h + 3*g - 3*g**2 + 3*g**5 + 3*g**4 = 0. What is g?
-1, 0, 1, 2
Let n be (1 + 1)*1*94/(-5). Let t = n + 38. Factor -2/5*j**3 + 2/5*j**4 + 2/5*j - t*j**2 + 0.
2*j*(j - 1)**2*(j + 1)/5
Let g(v) = 16*v**2 - 20*v + 40. Let i(u) = -u**2 - 2*u. Let a(j) = g(j) + 12*i(j). Factor a(w).
4*(w - 10)*(w - 1)
Suppose -5*s = 4*q - 41 + 36, -4*q + 2*s = 2. Determine r so that 3/4*r**3 + 1/2*r**2 + 1/4*r**4 + 0 + q*r = 0.
-2, -1, 0
Let z = 6923/9 + -769. Factor z - 1/3*r + 1/9*r**2.
(r - 2)*(r - 1)/9
Suppose -5*a**4 - 30*a**2 + a**3 - 15*a**2 - 40*a**3 + 3*a**5 + 14*a**4 = 0. What is a?
-5, -1, 0, 3
Let b = 2705 + -2702. Suppose -2/11*g**b + 4/11*g**2 + 6/11*g + 0 = 0. What is g?
-1, 0, 3
Solve 36*v**3 + 12*v + 28*v**3 - 56*v**2 - 12*v**4 + 4*v**4 - 12*v**5 = 0 for v.
-3, 0, 1/3, 1
Let v = 69173/15 - 13834/3. Factor -v*b**2 + 9/5*b + 2.
-(b - 10)*(b + 1)/5
Let h(y) be the second derivative of 0*y**2 + 6*y + 0*y**5 - 1/8*y**4 + 0 + 0*y**3 + 1/20*y**6. Let h(a) = 0. Calculate a.
-1, 0, 1
Let o(w) = 12*w**2 + 43*w + 27. Let h(a) = a**2 - 5*a - 6. Let s be h(7). Let t(r) = -9 - 26*r - s*r**2 - 3*r - 9. Let j(y) = -5*o(y) - 7*t(y). Factor j(f).
-(2*f + 3)**2
What is d in -76/5 - 2/5*d**2 - 42/5*d = 0?
-19, -2
Let s = 18 - 16. Let o(h) = 8*h**4 + 5*h**3 - 2*h**2. Let k(x) = x**4 + x**3 - x**2. Let w(b) = s*k(b) - o(b). Find p, given that w(p) = 0.
-1/2, 0
What is a in 0 + 10/9*a - 1/3*a**2 - 2/3*a**3 - 1/9*a**4 = 0?
-5, -2, 0, 1
Let x(y) be the third derivative of -2*y**7/105 + 13*y**6/120 - 2*y**5/15 - 7*y**4/24 + y**3 + 187*y**2. Factor x(a).
-(a - 2)*(a - 1)**2*(4*a + 3)
Let g = 6/95 - -108/95. Let d(b) be the first derivative of 2/15*b**3 - 9 - g*b**2 + 18/5*b. Factor d(w).
2*(w - 3)**2/5
Let x(m) = 2*m**2 - 2*m + 1. Let r(h) = 3*h**2 + 27*h + 68. Let c(q) = -r(q) + 2*x(q). Let c(s) = 0. What is s?
-2, 33
What is t in 1/8*t**4 + 1/2*t**2 - 21*t + 5/4*t**3 - 36 = 0?
-6, -2, 4
Let n be 1/(-3 + (-1)/(4/(-16))). Let l be n/(-4) + (-225)/(-100). Find w, given that -10/3*w**l - 8/3 + 2/3*w**3 + 16/3*w = 0.
1, 2
Let o(h) = -h**4 + h**3 - 3*h**2 + 1. Let x(r) = 16*r**4 + 16*r**3 - 52*r**2 + 144*r - 84. Let n(u) = -20*o(u) - x(u). Factor n(l).
4*(l - 4)*(l - 2)**2*(l - 1)
Let x be (-290)/29*(-9)/30. Factor -3 + 3*h - h**2 + 1/9*h**x.
(h - 3)**3/9
Let f(q) = 9*q**3 - 64*q**2 - 45*q - 8. Let p(h) = -18*h**3 + 127*h**2 + 89*h + 16. Let x(s) = -5*f(s) - 2*p(s). Factor x(d).
-(d - 8)*(3*d + 1)**2
Let r(m) be the second derivative of m**5/100 - m**4/6 + 23*m**3/30 - 7*m**2/5 - 78*m - 4. Suppose r(o) = 0. What is o?
1, 2, 7
Let z = 44 - 39. Determine b, given that -11*b**2 + 35*b**3 - 6*b + z*b**4 + 8*b + 51*b**2 - 82*b = 0.
-4, 0, 1
Let l(x) be the first derivative of 0*x - 3/10*x**4 + 0*x**2 - 6/25*x**5 - 21 + 1/5*x**6 + 2/5*x**3. Factor l(v).
6*v**2*(v - 1)**2*(v + 1)/5
What is k in -52757*k + 52839*k - k**2 - k**2 = 0?
0, 41
Factor -2*q**2 - q - 3/4*q**3 + 1/2*q**4 + 1/4*q**5 + 0.
q*(q - 2)*(q + 1)**2*(q + 2)/4
Let m(y) be the first derivative of -2*y**3/3 - 5*y**2 + 28*y + 18. Find o such that m(o) = 0.
-7, 2
Let z(j) = 12*j**2 + 39*j + 3. Let m(q) = -84*q**2 - 273*q - 18. Let o(p) = -2*m(p) - 15*z(p). What is y in o(y) = 0?
-3, -1/4
Suppose -15/8*a**2 + 3*a + 3/8*a**3 - 3/2 = 0. Calculate a.
1, 2
Let s(d) be the first derivative of 6*d**5/5 + 3*d**4/4 - 124. Factor s(v).
3*v**3*(2*v + 1)
Factor 2/21*v**2 + 4/21 - 2/7*v.
2*(v - 2)*(v - 1)/21
Let y(h) be the second derivative of -h**8/2240 + h**7/420 - h**6/240 - 3*h**4/4 + 2*h. Let o(c) be the third derivative of y(c). Factor o(u).
-3*u*(u - 1)**2
Let x be (150/(-120))/(-1*(-1)/(-8)). Let o be (3/5)/(27/x). Factor -o*g**3 - 2/9*g + 4/9*g**2 + 0.
-2*g*(g - 1)**2/9
Let b(s) = s**3 - 6*s**2 + 8*s - 13. Let u be b(5). Let j = 149/6 - 67/3. Factor 0 - 2*y**3 + j*y**u - y + 1/2*y**4.
y*(y - 2)*(y - 1)**2/2
Let v be (144/(-75) - -2)/((-3)/(-495)*11). Determine u, given that -4/5 - v*u - 2/5*u**2 = 0.
-2, -1
Let k be (-5426)/(-4680) + -1 + (-8)/52. Let q(x) be the third derivative of -1/36*x**4 + 0 + 8*x**2 - 1/18*x**3 - k*x**5 + 0*x. Factor q(j).
-(j + 1)**2/3
Let r(k) = k**2 + 42*k + 399. Let p(a) = 2*a - 1. Let j(w) = p(w) - r(w). Suppose j(o) = 0. What is o?
-20
Let p(s) = -s + 4. Let g be p(2). Let w(j) = -j - 7. Let t be w(-11). Solve -1 + 6*d + 1 + 20*d**4 - 2*d**5 - 4*d**3 - t*d**g - 14*d**4 - 2 = 0 for d.
-1, 1
Find g, given that 0*g**3 - 16*g**2 - 28*g**5 + 36*g**4 + 13*g**3 + 111 + 35*g**3 - 111 = 0.
-1, 0, 2/7, 2
Let u = -3741/7 + 535. Let f = -1125/7 + 161. Factor 2/7*o**2 - u*o + f.
2*(o - 1)**2/7
Let r(o) be the third derivative of o**7/490 + o**6/140 - o**5/70 - o**3/2 + 19*o**2. Let p(q) be the first derivative of r(q). Solve p(i) = 0.
-2, 0, 1/2
Let w = -14644/3 + 4884. Solve -w*f**3 - 1/3*f**4 - 8*f - 3 - 22/3*f**2 = 0.
-3, -1
Suppose -1548385 + 215*k**3 - 5*k**5 + 210*k**2 + 1548385 = 0. Calculate k.
-6, -1, 0, 7
Suppose 132*z - 176 = 44*z. Let k(g) be the first derivative of -1/5*g**2 + z + 0*g + 2/15*g**3. Factor k(y).
2*y*(y - 1)/5
Let v(o) be the first derivative of 1 + 1/13*o**2 - 2/13*o + 4/39*o**3. Factor v(h).
2*(h + 1)*(2*h - 1)/13
Factor 0 - 1043*o**3 + 1047*o**3 + 9604*o + 0 - 392*o**2.
4*o*(o - 49)**2
Let u(b) be the first derivative of -b**5/5 - b**4 + 80*b**3/3 - 96*b**2 + 384. Factor u(i).
-i*(i - 4)**2*(i + 12)
Let z = 5 - 0. Let 2*y**3 + 9*y**2 + y**5 + 6*y - 9*y**4 - 7*y**5 - 5*y**3 + 3*y**z = 0. What is y?
-2, -1, 0, 1
Determine r, given that 8/3 + 34/3*r - 3*r**2 = 0.
-2/9, 4
Let d(y) = y**3 + 16*y**2 + 15*y + 6. Let u be d(-15). Suppose -l - u = 3*p, 2*l + 0*p - 2 = p. Let 1/5*t**2 + 1/5*t + l = 0. What is t?
-1, 0
Let i = -9 + 13. Solve 35*n**2 - 45*n**2 - 6*n**3 + 140*n**i + n**3 = 0.
-1/4, 0, 2/7
Let h(t) be the third derivative of t**5/90 + 23*t**4/180 + 2*t**3/5 + t**2 - 7*t. Determine g so that h(g) = 0.
-18/5, -1
Suppose 4*h = 32 - 20. Let w(f) be the first derivative of 3/8*f**2 + 1/4*f + 1/4*f**h + 5 + 1/16*f**4. What is g in w(g) = 0?
-1
Let r(t) = -2*t**2 - 28*t + 44. Let q(i) = -i**2 - 2*i + 3. Let s(b) = -4*q(b) + r(b). Factor s(z).
2*(z - 8)*(z - 2)
Let g(a) be the third derivative of -a**7/70 - 11*a**4/24 + 7*a**3/6 - 2*a**2. Let b(j) = -3*j**4 + j**3 - 10*j + 6. Let c(q) = 7*b(q) - 6*g(q). Factor c(u).
-u*(u - 2)*(u - 1)*(3*u + 2)
Suppose -19*k - 192 = -15*k. Let b be k/(-22) - 90/495. Suppose 1/5*i**b + 2/5 - 3/5*i = 0. Calculate i.
1, 2
Find r such that 0 - 4/5*r**4 - 2/5*r**5 + 0*r + 2*r**3 + 12/5*r**2 = 0.
-3, -1, 0, 2
Let m(i) be the first derivative of 0*i - 22 - 1/18*i**3 + 1/12*i**2. Find u, given that m(u) = 0.
0, 1
Let d(t) be the second derivative of 0 - 1/2*t**3 - 9*t + 6/5*t**2 + 1/20*t**4. Factor d(n).
3*(n - 4)*(n - 1)/5
Let v(x) = -32*x**4 + 48*x**3 + 114*x**2 - 172*x + 6. Let i(k) = k**5 + k**4 - k**3 - 2*k - 1. Let t(a) = -36*i(a) + 2*v(a). Solve t(s) = 0.
-3, -2, 2/9, 1
Let s be (8/(-4))/((-8)/(-20)). Let o = s - -10. Factor 0*u**2 + 1/2*u**o + 0 + 0*u + u**4 + 1/2*u**3.
u**3*(u + 1)**2/2
Let q(h) be the second derivative of -h**6/6 + 21*h**5/4 - 565*h**4/12 + 365*h**3/2 - 315*h**2 + 2*h + 173. Let q(y) = 0. What is y?
1, 3, 14
Suppose -3*h + x = 5, 148*x - 10 = 146*x. Solve 1/8*a**5 + h*a + 0 - a**2 - 1/2*a**3 + 1/4*a**4 = 0 for a.
-2, 0, 2
Let n(s) = -s**2 + 1. Let p(z) = 12*z**2 - 2*z - 11. Let i be ((-26)/(-8))/((-22)/88). Let w = 11 + i. Let k(t) = w*p(t) - 22*n(t). Factor k(g).
-2*g*(g - 2)
Let q(m) be the first derivative of -6 + 2/15*m**6 + 0*m**2 - 2/3*m**3 + 3*m - 3/5*m**5 + m**4. Let z(f) be the first derivative of q(f). Factor z(i).
4*i*(i - 1)**3
Find n such that 10406*n**3 - 5202*n**3 - 30*n**2 - 33*n - 5201*n**3 = 0.
-1, 0, 11
Let z(k) be the second derivative of -9*k**5/80 - 