). Find y, given that 3/8 - 3/4*y**2 + r*y + 3/8*y**5 + 3/8*y**4 - 3/4*y**3 = 0.
-1, 1
Suppose 3*f - 54 = -3*q, 4*f - 8*f = 5*q - 74. Factor -21*r + 1636*r**2 + f + 3*r - 1634*r**2.
2*(r - 8)*(r - 1)
Let n(l) be the third derivative of l**6/600 - l**4/120 - 2*l**2 - 13*l. Factor n(b).
b*(b - 1)*(b + 1)/5
Let u(w) be the third derivative of -w**7/1470 - w**6/42 - 39*w**5/140 - 27*w**4/28 - 4*w**2 - 3. Solve u(v) = 0 for v.
-9, -2, 0
Let i(c) be the third derivative of -c**7/140 - 7*c**6/120 + c**5/8 + c**4/2 + 23*c**3/6 - 34*c**2. Let m(n) be the first derivative of i(n). Factor m(u).
-3*(u - 1)*(u + 4)*(2*u + 1)
Let u = 6265 - 6262. Factor 0*l + 0*l**u - 1/5*l**5 + 0 + 0*l**4 + 0*l**2.
-l**5/5
Let q(v) = v**2 + 12*v + 3. Let o(z) = 2*z**2 + 26*z + 6. Let j(y) = 4*o(y) - 9*q(y). Find m, given that j(m) = 0.
-3, -1
Let b(q) be the second derivative of -q**7/3 - 16*q**6/15 - 2*q**5/5 + 7*q**4/3 + 11*q**3/3 + 2*q**2 - 40*q. Determine t, given that b(t) = 0.
-1, -2/7, 1
Let k(r) be the third derivative of -r**8/47040 + r**7/8820 - r**6/5040 + 7*r**5/60 + 8*r**2. Let q(s) be the third derivative of k(s). What is g in q(g) = 0?
1/3, 1
Let w = -301 - -305. Let m(s) be the first derivative of -6 + 16*s + 1/3*s**3 + w*s**2. Factor m(b).
(b + 4)**2
Suppose -2*t + 3*a = 0, 5*t = 4*a - 6*a. Factor t + 2/11*i + 2/11*i**3 - 4/11*i**2.
2*i*(i - 1)**2/11
Let i(n) be the third derivative of 0*n**3 + 1/20*n**5 + 17*n**2 - 1/40*n**6 - 1/14*n**7 + 0*n**4 + 0*n - 3/112*n**8 + 0. Factor i(u).
-3*u**2*(u + 1)**2*(3*u - 1)
Let w(b) be the second derivative of -2*b**6/75 + 2*b**5/5 - 8*b**4/5 + 44*b**3/15 - 14*b**2/5 - 3*b - 7. Let w(a) = 0. Calculate a.
1, 7
Let c(n) be the second derivative of -1/18*n**3 + 0 + 11*n - 1/4*n**2 + 1/72*n**4. Determine k, given that c(k) = 0.
-1, 3
Let t(n) be the second derivative of n**4/30 + 11*n**3/15 + 2*n**2 + 204*n. Solve t(f) = 0.
-10, -1
Determine b, given that -b**2 + 3*b + 3*b - 10*b**2 + 9*b**2 - 4 = 0.
1, 2
Let y be (-1)/3 + (4 - (-4)/3). Let m be (-2)/2 - y*(-6)/12. Let -9/2*i**2 - 3/2*i + 0 - m*i**4 - 9/2*i**3 = 0. Calculate i.
-1, 0
Let r(k) be the first derivative of -1/4*k**4 + 0*k**2 + 3/2*k**3 - 1 + 6*k. Let h(v) be the first derivative of r(v). Factor h(z).
-3*z*(z - 3)
Let v(n) be the first derivative of 2*n**6/3 + 16*n**5/5 - 3*n**4 - 40*n**3/3 + 16*n**2 + 524. Find h such that v(h) = 0.
-4, -2, 0, 1
Let c be (15981/840 - 19)*4. Factor -1/10*g**2 + 0 - 1/5*g + c*g**3.
g*(g - 2)*(g + 1)/10
Let w be 15/(225/(-120)) - -8. Solve 0*d**2 + 0 - 2/3*d**4 + 4/9*d**5 + w*d + 2/9*d**3 = 0 for d.
0, 1/2, 1
Let w be 5/(-16)*(-12 - 8)*5. Let d = 1/48 - -11/48. Suppose w - d*r**3 + 15/4*r**2 - 75/4*r = 0. What is r?
5
Let u(n) be the third derivative of 1/25*n**6 - 1/15*n**4 - 1/105*n**7 + 1/5*n**3 - 21*n**2 - 1/25*n**5 + 0 + 0*n. Factor u(b).
-2*(b - 1)**3*(5*b + 3)/5
Suppose 22 + 15*l + 41*l**2 - 139 - 38*l**2 - 45*l = 0. What is l?
-3, 13
Factor -15*g + 2 - 20*g**2 + 6*g - 9*g.
-2*(g + 1)*(10*g - 1)
Suppose -3 = -2*s + 2*b - b, -3*s - 4*b + 21 = 0. Let 0*y + 0*y**s + 2/3*y**4 + 0 + 0*y**2 + 1/3*y**5 = 0. What is y?
-2, 0
Let y be (-1 + 124)*126/756 - 10/(-8). Let -15/2 - y*j + 9/4*j**2 = 0. Calculate j.
-1/3, 10
Let u(c) be the first derivative of c**5/10 - 3*c**4/4 + 5*c**3/6 + 57. Factor u(i).
i**2*(i - 5)*(i - 1)/2
Let l(c) be the second derivative of -1/5*c**5 - 33*c - 4/3*c**2 - 1/45*c**6 - 13/18*c**4 - 4/3*c**3 + 0. Factor l(m).
-2*(m + 1)**2*(m + 2)**2/3
Let x(s) be the first derivative of -s**6/14 - 3*s**5/35 + 9*s**4/28 + 5*s**3/7 + 3*s**2/7 + 52. Solve x(y) = 0.
-1, 0, 2
Suppose -8 = 2*c - 2. Let z be (-1)/c - 96/(-36). Solve 0 - y**4 - 76*y**2 + 75*y**2 - 2*y**z + 0 = 0 for y.
-1, 0
Let q be (-2)/6*(-2 - 4). Let d(o) be the first derivative of 2/3*o**3 + 0*o**q - 2/5*o**5 + 6 + 0*o + o**4 - 2/3*o**6. Let d(f) = 0. What is f?
-1, -1/2, 0, 1
Suppose 14/5*y + 16/5*y**2 + 2/5*y**3 + 0 = 0. What is y?
-7, -1, 0
Let h(z) be the second derivative of -z**5/30 + 5*z**4/6 - 16*z**3/3 - 64*z**2/3 - 3*z - 24. Determine o so that h(o) = 0.
-1, 8
Let x = -10 - -9. Let r be (-4)/x*(2 - 1). Factor -5*k**3 - 2*k**r + 4*k**2 + 5*k + k**4 + 4*k**3 - k**2 + 2.
-(k - 2)*(k + 1)**3
Let b(v) be the first derivative of -3*v**7/28 - v**6/20 - 38*v + 42. Let h(z) be the first derivative of b(z). Factor h(c).
-3*c**4*(3*c + 1)/2
Let t be (3 + 172/(-36))*(-450)/600. Let -4/3*m + 8/3*m**3 + 0 + t*m**2 = 0. What is m?
-1, 0, 1/2
Let u = -219 + 223. Factor 22/3*a - 4 + 2/3*a**3 - u*a**2.
2*(a - 3)*(a - 2)*(a - 1)/3
Let i(b) be the first derivative of -b**6/24 + 11*b**5/20 + 3*b**4/4 + 148. Find o, given that i(o) = 0.
-1, 0, 12
Let t = 2768 + -2766. Let f(s) be the first derivative of -3*s**t - 13 - 9*s - 1/3*s**3. Factor f(m).
-(m + 3)**2
Suppose 6*r - 4*f - 60 = 2*r, 3*f + 21 = -r. Factor -r*w - 13/2 + 1/2*w**2.
(w - 13)*(w + 1)/2
Let a(o) be the first derivative of -2*o**6/3 - 8*o**5/5 + 8*o**4 + 24*o**3 + 18*o**2 - 269. Determine d so that a(d) = 0.
-3, -1, 0, 3
Suppose -z + 0*q = -4*q - 11, -3*q - 15 = -3*z. Factor 8/19*x**4 + 2/19*x**2 + 0 + 0*x + 10/19*x**z.
2*x**2*(x + 1)*(4*x + 1)/19
Let f(h) = -h**3 + 9*h**2 + 11*h - 6. Let l be f(10). Let r be (-30)/(-20) - 1/l - 0. Factor 9/4*b**2 - 1/4 + 3/4*b + r*b**3.
(b + 1)**2*(5*b - 1)/4
Let y(a) be the first derivative of 1/9*a**3 - 1/3*a**2 + 12 + 1/3*a. Let y(j) = 0. What is j?
1
Let t be (88/(-550))/(4/(-30))*45. Let s be (-16)/t*30/(-20). Find g such that s*g**2 - 4/9 + 2/9*g - 2/9*g**3 = 0.
-1, 1, 2
Let x(u) be the first derivative of u**4/16 - u**3/12 - u**2 + 3*u + 354. What is g in x(g) = 0?
-3, 2
Suppose 9*d + 6306 + 5187 = 0. Let y = d - -5135/4. Let 0*z + 0 - 3/4*z**4 - y*z**2 - 9/2*z**3 = 0. Calculate z.
-3, 0
Let u(i) be the first derivative of -i**6/30 + i**5/3 - 4*i**4/3 + 8*i**3/3 - 21*i**2/2 + 6. Let s(h) be the second derivative of u(h). Factor s(c).
-4*(c - 2)**2*(c - 1)
Let j(d) be the first derivative of 49*d**5/40 + 63*d**4/16 + 5*d**3/2 + d**2/2 - 61. Let j(c) = 0. What is c?
-2, -2/7, 0
Suppose 5*r - 11 = p, 3*r - 5*p = 4 + 7. Factor 4*t - 9*t**4 - 4*t**3 + 9*t**r + 3*t**2 - 8 + 5*t**4.
-4*(t - 1)**2*(t + 1)*(t + 2)
Suppose -58 = -4*i - 5*p, p = -5*i + 5*p + 52. Suppose 12*j**3 + 7*j**3 - 15*j**3 - 15 - i*j + 8*j**3 + 18*j**2 - 3*j**4 = 0. Calculate j.
-1, 1, 5
Find y such that 88/3*y**4 - 484*y - 88/3*y**2 + 4352/9*y**3 + 0 + 4/9*y**5 = 0.
-33, -1, 0, 1
Let a(b) be the third derivative of b**6/120 + b**5/60 - b**4/24 + 5*b**3/6 - 4*b**2. Let s be a(0). Factor -x**2 - 5*x - 4 + x - 2*x - s.
-(x + 3)**2
Let r(j) = j**2 + 2*j - 58. Let s(y) = y**2 + 3*y - 50. Let u(h) = -4*r(h) + 5*s(h). Factor u(a).
(a - 2)*(a + 9)
Factor -1 - 104*z + 2*z**2 + 45*z + 58*z.
(z - 1)*(2*z + 1)
Let o be 0/10*(3 + (0 - 4)). Let w(r) be the third derivative of 1/90*r**5 + 0*r + o*r**4 - 1/9*r**3 + 0 - 2*r**2. Factor w(g).
2*(g - 1)*(g + 1)/3
Let x(q) be the second derivative of -q**5/20 - 46*q**4/3 - 4232*q**3/3 - 787*q. Factor x(p).
-p*(p + 92)**2
Factor 0*g + 2/3*g**5 + 0 + 2/3*g**3 - 4/3*g**4 + 0*g**2.
2*g**3*(g - 1)**2/3
Let n(g) be the second derivative of 1/3*g**3 + 0*g**4 + 0*g**2 - 1/10*g**5 - g + 0. Solve n(a) = 0.
-1, 0, 1
Let r(w) = -2*w - 1. Let o be r(-2). What is n in -21*n**3 - 5*n**2 + 13 + 47 + 40*n + 16*n**o = 0?
-2, 3
Let o(b) be the third derivative of -b**7/735 + b**6/140 + 4*b**5/35 + b**4/3 - 222*b**2. Solve o(v) = 0.
-2, 0, 7
Factor 20*j**4 - 49*j**4 + 19*j**4 + 127308 + 13*j**4 - 255852*j + 129783*j**2 - 1242*j**3.
3*(j - 206)**2*(j - 1)**2
Let h(n) = -n**3 - 9*n**2 + 21*n - 6. Let z be h(-11). Let a(w) be the second derivative of 1/8*w**4 + 0*w**3 + 3/40*w**z - 5*w + 0*w**2 + 0. Factor a(i).
3*i**2*(i + 1)/2
Let w(b) be the second derivative of b**7/21 - b**6/5 - b**5/5 + 2*b**4 - 8*b**3/3 + 336*b. Factor w(f).
2*f*(f - 2)**2*(f - 1)*(f + 2)
Let h(f) be the second derivative of f**6/240 + 9*f**5/160 + 7*f**4/96 - 3*f**3/16 - f**2/2 + 17*f. Factor h(b).
(b - 1)*(b + 1)**2*(b + 8)/8
Suppose -750 = -7*o - 736. Let r(g) be the second derivative of 0*g**3 + 0 + 10*g + 1/10*g**o - 1/60*g**4. Factor r(a).
-(a - 1)*(a + 1)/5
Let l(t) be the second derivative of 0 + 17*t + 0*t**2 + 1/95*t**5 + 0*t**3 - 1/285*t**6 - 1/114*t**4. What is x in l(x) = 0?
0, 1
Let 768 - 4*y**2 -