ermine b, given that 216 + 27/2*b**4 + 90*b**3 + 276*b**2 + 3/4*b**5 + 396*b = 0.
-6, -2
Determine x so that -81/2 - 90*x - 50*x**2 = 0.
-9/10
Let c(l) be the third derivative of -2*l**7/245 + 8*l**6/35 - 59*l**5/140 - 2*l**4/7 + 15*l**3/14 - 420*l**2. Find y, given that c(y) = 0.
-1/2, 1/2, 1, 15
Let x(g) be the third derivative of -5*g**8/1344 + g**7/168 + 7*g**6/48 - g**5/8 - 75*g**4/32 - 45*g**3/8 + 201*g**2. Determine h so that x(h) = 0.
-3, -1, 3
Let j(m) = -3*m**4 + 3*m**3 - 39*m**2 - 27*m + 18. Let v(b) = -b**4 + b**2. Let l(h) = 3*j(h) - 24*v(h). Solve l(i) = 0.
-3, -1, 2/5, 3
Let a(p) be the third derivative of -2*p**5/15 + p**4/6 - p**3/3 + 32*p**2. Let d(x) = -7*x**2 + 3*x - 2. Let k(r) = -6*a(r) + 7*d(r). Factor k(y).
-(y + 1)*(y + 2)
Let f(d) be the third derivative of 0 + 0*d**3 + 1/15*d**6 - 1/15*d**5 + 0*d + 0*d**4 - 2*d**2 - 2/105*d**7. Factor f(t).
-4*t**2*(t - 1)**2
Let c(p) be the second derivative of p**6/105 + 6*p**5/35 + p**4/14 - 208*p**3/21 + 192*p**2/7 + p + 252. Let c(v) = 0. What is v?
-8, 1, 3
Let d = -5616 + 39330/7. Solve 4/21 + d*a**2 + 2/3*a**4 - 26/21*a - 46/21*a**3 = 0 for a.
2/7, 1
Let o(a) be the third derivative of -a**6/600 - a**5/300 + a**4/30 + 2*a**3/15 - 5*a**2. Suppose o(c) = 0. Calculate c.
-2, -1, 2
Let d(k) be the third derivative of -k**6/1020 + k**5/510 + k**4/102 + 33*k**2 + 2*k. Factor d(g).
-2*g*(g - 2)*(g + 1)/17
Let r(t) be the second derivative of -t**8/336 - t**7/126 + t**6/144 + t**5/24 + 5*t**4/4 + 28*t. Let s(h) be the third derivative of r(h). Solve s(w) = 0.
-1, -1/2, 1/2
Let p(r) = -20*r + 12. Let j(o) = o**3 - o**2 + o + 1. Let c(v) = -4*j(v) - p(v). Factor c(q).
-4*(q - 2)*(q - 1)*(q + 2)
Let l(d) be the first derivative of d**7/21 - d**6/15 - 3*d**5/10 + d**4/6 + 2*d**3/3 - 21*d - 4. Let k(a) be the first derivative of l(a). Factor k(m).
2*m*(m - 2)*(m - 1)*(m + 1)**2
Factor 0 - 22/5*j**3 - 4*j - 1/5*j**4 - 41/5*j**2.
-j*(j + 1)**2*(j + 20)/5
Let r(i) be the first derivative of -i**3/24 + 5*i**2/16 - 3*i/4 - 33. Factor r(s).
-(s - 3)*(s - 2)/8
Let g(l) be the third derivative of 1/5*l**5 + 0*l**3 + 0 + 1/2*l**4 + 3*l**2 + 1/40*l**6 + 0*l. Factor g(h).
3*h*(h + 2)**2
Find l, given that -196*l + 0*l**3 - 6*l**3 - 192*l + 396*l - l**3 - l**2 = 0.
-8/7, 0, 1
Factor -10*q**3 + 6*q**3 + 0*q + 5*q**5 - 15*q**2 + 15*q**4 - 21*q**3 + 20*q.
5*q*(q - 1)**2*(q + 1)*(q + 4)
Let n(b) = -b + 12. Let d be n(0). Let v be -12*(20/d)/(-5). Factor 6*w**3 + w**5 + 32*w**2 + w - 2*w**v - 17*w**2 - 11*w**2 + 6*w**4.
w*(w + 1)**4
Let v(n) be the second derivative of -13/114*n**4 + 4/19*n**3 + 3/95*n**5 + 0 - 4/19*n**2 + 16*n - 1/285*n**6. Factor v(f).
-2*(f - 2)**2*(f - 1)**2/19
Let b(t) = t**4 - t**3 + t. Let g(y) = 7*y**4 + 5*y + y**3 + 6*y**4 - 7*y**4 - 7*y**2. Let u(i) = 15*b(i) - 3*g(i). Solve u(o) = 0.
-7, 0, 1
Let b(f) be the second derivative of f**9/12096 - f**7/3360 + f**3/6 - 15*f. Let p(g) be the second derivative of b(g). Factor p(h).
h**3*(h - 1)*(h + 1)/4
Suppose 0 = 36*y - 29*y - 1127. Let 4*x**4 - 64*x**3 - 50 - y + 25 + 252*x**2 - 70 + 64*x = 0. What is x?
-1, 1, 8
Let t(a) be the second derivative of -a**4/42 - 40*a**3/7 - 3600*a**2/7 - 6*a - 29. Find l, given that t(l) = 0.
-60
Let u(b) be the first derivative of b**3 + 15*b**2 - 33*b + 124. Factor u(n).
3*(n - 1)*(n + 11)
Let s = 3196/7441 - 1/1063. Factor s*r + 0*r**2 + 0 - 3/7*r**3.
-3*r*(r - 1)*(r + 1)/7
Let t = 1948/6769 + -2/967. What is b in -t*b**2 - 32/7 + 16/7*b = 0?
4
Let j be (-450)/4*4/(-6). Let o = j + -39. Let -4*t**2 + 8*t + 37*t**4 - 20*t**5 + 19*t**4 - o*t**3 - 4*t**4 = 0. What is t?
-2/5, 0, 1
Let g(n) be the first derivative of 5*n**4/4 + 100*n**3/3 + 265*n**2/2 + 170*n + 482. Let g(q) = 0. Calculate q.
-17, -2, -1
Factor 108/5 + 51984/5*c**2 + 4104/5*c + 219488/5*c**3.
4*(38*c + 3)**3/5
Let w(i) be the third derivative of -i**5/90 + 8*i**4/3 + 4*i**2 + 16. Factor w(t).
-2*t*(t - 96)/3
Let b(l) be the third derivative of -25/18*l**3 - 1/180*l**5 + 0 - 5/36*l**4 + 0*l - l**2. Factor b(a).
-(a + 5)**2/3
Let -3055 + 175 + 378*z**2 - 263*z + 23*z + 379*z**2 - 762*z**2 = 0. What is z?
-24
Suppose -3*l + 7*l = 0. Suppose -10 + l = -5*g. Factor -9*y**3 - 4 - 4*y**2 + 7*y**g + 4 - 3*y**5 + 9*y**4.
-3*y**2*(y - 1)**3
What is d in -6*d**2 + 26 + d**2 + 64*d + 34 - 9*d = 0?
-1, 12
Let a be -30*(-11)/22 + -11. Let h(s) be the first derivative of -8*s - 22*s**3 - 3 - 7/5*s**5 - 37/4*s**a - 22*s**2. Let h(i) = 0. Calculate i.
-2, -1, -2/7
Let j(y) be the third derivative of -y**7/1470 + y**6/280 + y**5/21 - y**4/2 + 40*y**3/21 + 105*y**2 + 1. Factor j(b).
-(b - 4)*(b - 2)**2*(b + 5)/7
Let r(x) be the third derivative of -x**5/330 - x**4/22 - 339*x**2. Factor r(k).
-2*k*(k + 6)/11
Let x be (-1 + 5)/(20/15). Suppose -x*w + 28 = -w. Factor -18*p + 2*p**2 + 6 - w*p + 40*p.
2*(p + 1)*(p + 3)
Suppose x = 2*x - 2. Suppose -x*z - 9 = -2*i + 1, 4*i - 3*z = 17. Suppose 3*v**3 + 3*v**2 + 0*v**i - 3*v - v**4 + 0*v**2 - 2*v**4 = 0. What is v?
-1, 0, 1
Let z(f) be the first derivative of -f**6/48 + f**5/40 + 3*f**4/16 + f**3/12 - 5*f**2/16 - 3*f/8 - 89. Factor z(i).
-(i - 3)*(i - 1)*(i + 1)**3/8
Suppose -85 = 5*b + 3*r - 79, -4*b - r - 2 = 0. Factor 5/8*v**2 + b - 1/2*v**3 - 1/8*v.
-v*(v - 1)*(4*v - 1)/8
Let p(w) = w - 14. Let r be p(18). Factor -5*u**3 - 3*u**3 + 2*u**3 + 8*u**2 - 2*u**r.
-2*u**2*(u - 1)*(u + 4)
Let u(r) = -r**2. Let c(m) = -4*m**2 + 12*m + 36. Let a(n) = -2*n + 11. Let k be a(5). Let q(l) = k*c(l) - 5*u(l). Factor q(v).
(v + 6)**2
Let a = -39358/27 - -1458. Let d(f) be the first derivative of 5 + 0*f - 1/6*f**4 + a*f**3 - 1/9*f**2. Factor d(o).
-2*o*(o - 1)*(3*o - 1)/9
Determine c so that -c**2 - 6*c**3 + 26*c**2 + 2*c**5 - 21*c**2 = 0.
-2, 0, 1
Let p be (6/2)/(-3 + 4). Factor -d + 3*d**3 - 6*d**2 - 15 - p*d**2 - 26*d.
3*(d - 5)*(d + 1)**2
Let s(z) be the second derivative of -z**4/30 + 94*z**3/15 - 2*z - 92. Suppose s(x) = 0. Calculate x.
0, 94
Determine i, given that 22*i - 53*i + 15 - 109 + 2*i**2 - 2*i - 59*i = 0.
-1, 47
Let r(n) be the first derivative of -n**7/5880 - n**6/315 - n**5/40 - 3*n**4/28 + 8*n**3/3 + 1. Let w(t) be the third derivative of r(t). Factor w(l).
-(l + 2)*(l + 3)**2/7
Let w(l) be the first derivative of -l**4/4 + 3*l**3 - 3*l**2 - 16*l - 294. Solve w(m) = 0.
-1, 2, 8
Factor -5/4*s**2 - 7/4*s**3 - 1/4*s**4 + 7/4*s + 3/2.
-(s - 1)*(s + 1)**2*(s + 6)/4
Let o be (42/30)/7 - 28/(-10). Find c, given that c - o*c**2 + 6*c**2 - c**2 - 3*c**2 = 0.
0, 1
Let a = 75 + -77. Let y(t) = 2*t**4 - 2*t**3 - 2*t**2 - 16*t + 18. Let c(u) = -u + 1. Let s(r) = a*y(r) + 36*c(r). Find b, given that s(b) = 0.
-1, 0, 1
Let i(y) be the second derivative of y**6/15 + y**5/6 + y**4/9 - 204*y. Factor i(h).
2*h**2*(h + 1)*(3*h + 2)/3
Let y = -5/774 + 2347/3870. Factor 0*a + 3/5*a**2 - y.
3*(a - 1)*(a + 1)/5
Let z be 12/(-8)*(-16)/3. Let y(d) = 2*d - 13. Let w be y(z). Determine x, given that 2/13*x**2 + 0 + 0*x - 2/13*x**w = 0.
0, 1
Let n = -293 + 295. Suppose 0 = -5*w - 3*l + 15, 2*w - 6 = -n*l - 0. Suppose 25/8*m**w - 1/2 - 5/8*m**2 - 2*m = 0. What is m?
-2/5, 1
Let f(z) be the third derivative of 0*z + 1/224*z**8 + 1/10*z**5 + 0*z**3 + 0 + 1/16*z**4 + 3/40*z**6 + 1/35*z**7 + 3*z**2. Factor f(c).
3*c*(c + 1)**4/2
Let w = 160 - 157. Let 73*i**2 + 12 + 12*i + 12*i + 33*i**w + 3*i + 25*i = 0. Calculate i.
-1, -2/3, -6/11
Suppose -5*b = -8 - 2. Suppose -5*g = 3*i - 8, -3*i + 3*g = b*g - 20. Factor -4 - u**2 + 13 + 2*u**2 - i*u.
(u - 3)**2
Let z(k) be the third derivative of -k**5/210 + k**4/28 - 2*k**3/21 - 3*k**2. Factor z(h).
-2*(h - 2)*(h - 1)/7
Let h(y) be the third derivative of 20*y**2 - 1/2*y**4 - 1/30*y**6 + 6*y**3 - 1/3*y**5 + 0 + 0*y. Factor h(a).
-4*(a - 1)*(a + 3)**2
Suppose 13*v - 18 = 4*v. Suppose -4*y + 14 = 3*d, 4*d = y + 2*y + v. Factor 14*o**d + 5 - 15*o + 22*o**3 + o**2 - 27*o**3.
-5*(o - 1)**3
Let 2/5*o**2 + 14/5 + 16/5*o = 0. What is o?
-7, -1
Let m(c) be the second derivative of c**3/6 + c**2/2 + 38*c. Let o(i) = i**2 + 25*i + 145. Let t(n) = -4*m(n) + 4*o(n). Factor t(b).
4*(b + 12)**2
Suppose -4*a - 3*r + 31 = 0, 4*a + 0*a - 4*r + 4 = 0. Let s(z) be the first derivative of 0*z**2 - 8 + 0*z - 3/4*z**a - z**3. Let s(x) = 0. What is x?
-1, 0
Let h be 7/(-10)*48/(-336). Let v(l) be the first derivative 