 4. Determine y so that -12/11 + 26/11*y - s*y**2 + 2/11*y**3 = 0.
1, 6
Let x(j) = 6*j**2 - 7*j - 23. Let v(k) = 3*k**2 - 3*k - 12. Let u(p) = p**3 - 6*p**2 - 29*p + 21. Let z be u(9). Let b(c) = z*x(c) - 5*v(c). Factor b(r).
3*(r - 3)*(r + 1)
Let v(l) be the first derivative of -9*l**3 - 15/4*l**4 - 6 - 6*l - 3/5*l**5 - 21/2*l**2. Determine k so that v(k) = 0.
-2, -1
Let a be ((-65)/(7800/144))/(14/10 + -2). Solve -2/7*w**a + 12/7*w + 2 = 0.
-1, 7
Let 53*p**3 - 6 + 108*p**2 - 69*p - 1531*p**4 + 12*p + 1465*p**4 + 40*p**3 = 0. Calculate p.
-1, -1/11, 1/2, 2
Let j be ((-54)/44 + -7 + 8)/(-1). Let i(z) be the first derivative of 0*z - j*z**4 + 0*z**2 - 6 + 4/33*z**3 - 1/33*z**6 + 8/55*z**5. Solve i(d) = 0.
0, 1, 2
Let w(u) be the first derivative of 3*u**6/10 + 66*u**5/25 + 51*u**4/10 - 12*u**3/5 - 111*u**2/10 - 6*u + 99. Solve w(d) = 0 for d.
-5, -2, -1, -1/3, 1
Let z = -128/19 - -275/38. Suppose -5*n + 18 = s, -5*s - 2*n = -n - 18. Factor -5/4*r - z - 1/4*r**s - r**2.
-(r + 1)**2*(r + 2)/4
Let c = -958/17 - -8690/153. Find v, given that 0 + 2/9*v**5 - 8/3*v**2 - 16/9*v + 2/3*v**4 - c*v**3 = 0.
-2, -1, 0, 2
Factor 2/7*i**3 + 44/7 + 16/7*i**2 - 62/7*i.
2*(i - 2)*(i - 1)*(i + 11)/7
Let k = 2/10313 + 20620/30939. Let m(d) be the second derivative of -16/3*d**4 + 0 + 0*d**2 + 17/5*d**5 - k*d**6 - 11*d + 8/3*d**3. Let m(p) = 0. What is p?
0, 2/5, 1, 2
Suppose 0 = 3*w + 3*x + 3, 0 = -4*w + 18*x - 13*x + 32. Factor 1/5*g**4 + 4*g + 8/5 + 18/5*g**2 + 7/5*g**w.
(g + 1)*(g + 2)**3/5
Let y be 19/228*12 + 1. Factor -2/7*l**3 - 2000/7 - 600/7*l - 60/7*l**y.
-2*(l + 10)**3/7
Let q(l) be the first derivative of -l**3/6 - 15*l**2/4 + 316. Determine v so that q(v) = 0.
-15, 0
Let o(g) be the second derivative of -g**6/135 - 11*g**5/18 - 364*g**4/27 + 784*g**3/27 - 3*g - 43. Factor o(w).
-2*w*(w - 1)*(w + 28)**2/9
Let p(m) = -m**3 - m. Let h(r) = -17*r**3 - 8*r**2 - r. Let d be (-3)/2*30/(-9). Suppose -d*v - 11 = 4, -v - 8 = -5*s. Let l(a) = s*h(a) - 5*p(a). Factor l(b).
-4*b*(b + 1)*(3*b - 1)
Let g(f) = -3*f**4 - 53*f**3 - 58*f**2 + 4*f. Let o(u) = -13*u**4 - 211*u**3 - 234*u**2 + 18*u. Let s(v) = 9*g(v) - 2*o(v). Factor s(d).
-d**2*(d + 1)*(d + 54)
Factor 12 + 2/9*d**3 - 20/9*d**2 + 2/3*d.
2*(d - 9)*(d - 3)*(d + 2)/9
Let a(k) be the first derivative of 4*k**5/15 - 2*k**4/3 - 76*k**3/9 - 56*k**2/3 - 16*k + 246. Factor a(d).
4*(d - 6)*(d + 1)**2*(d + 2)/3
Let s(a) be the third derivative of -a**5/360 - 47*a**4/144 + 4*a**3/3 + 351*a**2. Solve s(k) = 0.
-48, 1
Let v(h) be the first derivative of -h**5 + 10/3*h**3 - 5*h - 5/8*h**2 - 5/24*h**6 + 5/8*h**4 + 9. What is a in v(a) = 0?
-4, -1, 1
Let w = -23 - -24. Let q(i) = 6*i**3 - 3*i + 2. Let u be q(w). Suppose -2/11*l**4 - 4/11*l**u + 8/11*l**3 + 4/11*l**2 - 4/11*l - 2/11 = 0. What is l?
-1, -1/2, 1
Let t(k) be the third derivative of -k**6/48 - 5*k**5/6 + 335*k**4/48 - 115*k**3/6 - 97*k**2 - 4*k. Solve t(m) = 0.
-23, 1, 2
Let g = 403 - 403. Factor -1/7*q**5 + g + 0*q**3 + 2/7*q**4 + 0*q + 0*q**2.
-q**4*(q - 2)/7
Let m be ((-26)/39)/(42/(-28)). Factor 16/9 + 0*n - m*n**2.
-4*(n - 2)*(n + 2)/9
Let k = -85/18 + 19/18. Let s = -3 - k. Factor 0 + 1/3*o**2 + s*o.
o*(o + 2)/3
Let y(l) be the first derivative of l**6/18 - 13*l**5/15 + 11*l**4/4 + 77*l**3/9 - 49*l**2/3 + 124. Solve y(j) = 0 for j.
-2, 0, 1, 7
Let c(w) be the third derivative of 0*w**5 + 0 + 0*w**3 + 23*w**2 + 1/480*w**6 + 0*w - 1/24*w**4. Factor c(h).
h*(h - 2)*(h + 2)/4
Suppose -15*d - 9 = -6*d. Let w be ((-4)/(-30))/d*(-50)/10. Factor 0 + w*t - t**2.
-t*(3*t - 2)/3
Let x(s) be the third derivative of 0 - 1/40*s**6 + 1/60*s**5 + 0*s - 1/210*s**7 - 6*s**2 + 0*s**3 + 1/8*s**4. Let x(t) = 0. What is t?
-3, -1, 0, 1
Factor -11/6*y**2 + 0*y + 0 - 1/6*y**3.
-y**2*(y + 11)/6
Let q(b) be the third derivative of b**8/840 + b**7/420 - b**6/180 - b**5/60 + 37*b**3/6 + 9*b**2. Let o(s) be the first derivative of q(s). Factor o(w).
2*w*(w - 1)*(w + 1)**2
Let m(l) be the first derivative of 5*l**5 - 135*l**4/4 + 50*l**3 - 20*l**2 + 228. Factor m(p).
5*p*(p - 4)*(p - 1)*(5*p - 2)
Let o(f) be the first derivative of f**6/120 - 3*f**5/40 + f**4/4 + 4*f**3/3 + 12. Let z(i) be the third derivative of o(i). Find t, given that z(t) = 0.
1, 2
Find f such that 2/5*f**2 + 2/15*f**3 + 0 - 8/15*f = 0.
-4, 0, 1
Let c = 4833 - 4829. Determine t so that -5/3*t**3 + 0*t**2 + 0*t + 0 + 0*t**c + 5/3*t**5 = 0.
-1, 0, 1
Let g(a) be the third derivative of -1/1050*a**7 - 3/200*a**6 - 9/100*a**5 - 1 + 0*a + 0*a**3 + 7*a**2 - 9/40*a**4. Factor g(j).
-j*(j + 3)**3/5
Let v(c) be the second derivative of -c**5/50 + c**3/15 - 146*c. Find h, given that v(h) = 0.
-1, 0, 1
Let l = 28/27 - 103/108. Let f(q) be the third derivative of -3*q**2 + 0 + 1/60*q**5 + 0*q - 1/24*q**6 + 0*q**3 - 1/210*q**7 + l*q**4 + 1/112*q**8. Factor f(s).
s*(s - 1)**2*(s + 1)*(3*s + 2)
Let v(y) be the second derivative of -2*y**5/45 - 5*y**4/54 - y**3/27 - 336*y + 2. Solve v(b) = 0.
-1, -1/4, 0
Let i(n) be the second derivative of 1/75*n**6 - 1/3*n**3 + 1/10*n**5 - 31*n + 1/10*n**4 + 0 - 4/5*n**2. Let i(c) = 0. What is c?
-4, -1, 1
Let c(j) = 4*j**3 - j**2 - 20*j - 15. Let a(h) = -4*h**3 + 20*h + 16. Let r(t) = -3*a(t) - 4*c(t). Solve r(o) = 0.
-1, 3
Factor -5*t**2 - 12246 + 11154 - 990*t - 14142 - 33771.
-5*(t + 99)**2
Factor 0 + 4/7*z - 2/7*z**2.
-2*z*(z - 2)/7
Let c be (1505/(-70) - -24) + (-1 - (-4 - -2)). Solve -2*a**3 + c*a + 5/2*a**2 - 1 = 0.
-1, 1/4, 2
Let f(x) = x**3 - 10*x**2 + 2*x - 16. Let t be f(10). Suppose -4*d = 4*g - 12, 0 = -t*d + 5*g + 29 + 10. Let 3*u + d - 12*u**2 + 15*u**2 + 8*u = 0. What is u?
-3, -2/3
Let l be 784/(-560)*(-2)/14. Let 2/5 - 1/5*q**2 - l*q = 0. What is q?
-2, 1
Factor -1082*a**3 + 2154*a**3 - 36*a - 1074*a**3 + 22*a**2.
-2*a*(a - 9)*(a - 2)
Let i(v) = 3*v**2 - 52*v + 144. Let n be i(14). Factor 75/4*t**n + 0 - 15/2*t**3 + 3/4*t**2 + 0*t.
3*t**2*(5*t - 1)**2/4
Suppose 0*d - 4*k + 11 = -3*d, -5*d = -3*k. Factor 1/2 + 1/2*x**d + 13/6*x + 13/6*x**2.
(x + 1)*(x + 3)*(3*x + 1)/6
Suppose -3*j + 4*w + 9 = 3*w, 2*j - w - 6 = 0. Factor 40*i + 1 - 6 + 5*i**4 - 46*i**3 - 75*i**2 + 75*i**4 + 6*i**j.
5*(i - 1)*(i + 1)*(4*i - 1)**2
Let k = 2596 - 10319/4. Factor k*c**2 + 4*c - 1.
(5*c + 2)*(13*c - 2)/4
Let a(s) = 3*s**3 - 46*s**2 + 5*s. Let z(m) = m**3 + 2*m**2 + m. Let l(w) = 2*a(w) - 10*z(w). Factor l(n).
-4*n**2*(n + 28)
Factor -b + 4*b - b**2 + 4*b + 2897 - 2879.
-(b - 9)*(b + 2)
Let v(i) be the third derivative of -i**6/900 + i**4/60 + 2*i**3/3 - 5*i**2. Let n(z) be the first derivative of v(z). Factor n(k).
-2*(k - 1)*(k + 1)/5
Suppose 2 = q - 0. Let t(f) = -f**2 - 21*f + 6. Let r be t(-21). Suppose -r*n - 2*n**3 + 0*n + 8*n**q - 2*n = 0. Calculate n.
0, 2
Let i(c) be the second derivative of c**6/180 + 4*c**5/15 - 17*c**4/12 + 26*c**3/9 - 35*c**2/12 - 374*c. Determine u, given that i(u) = 0.
-35, 1
Suppose 10*v - o = 14*v - 2, -5*v - 4 = -2*o. Suppose v*n**4 - 3/4*n**5 + 3/2*n**3 - 3/4*n + 0 + 0*n**2 = 0. What is n?
-1, 0, 1
Determine v so that 2/9*v + 0*v**2 + 0 - 2/9*v**3 = 0.
-1, 0, 1
Suppose 1/6*r**4 - r**3 + 0*r + 0 + 0*r**2 = 0. Calculate r.
0, 6
Let m(c) be the first derivative of 2*c**3/27 - 10*c**2/3 - 62*c/9 + 67. Factor m(d).
2*(d - 31)*(d + 1)/9
Let 27/8*f**3 - 15/4*f + 0 - 33/8*f**2 + 33/8*f**4 + 3/8*f**5 = 0. What is f?
-10, -1, 0, 1
Determine t so that -36/7 - 20/7*t**3 + 2/7*t**5 - 16/7*t**2 + 4/7*t**4 + 66/7*t = 0.
-3, 1, 2
Suppose -4*l - 3*z + 4 = -5*z, -3*z - 6 = -5*l. Let y = -18/29 - -300/203. Suppose l - y*b - 4/7*b**3 + 2*b**2 = 0. Calculate b.
0, 1/2, 3
Let r(i) be the third derivative of i**6/780 - 35*i**5/78 + 2581*i**4/52 - 2523*i**3/13 - 3*i**2 - 16. Factor r(b).
2*(b - 87)**2*(b - 1)/13
Let u = -66 - -331/5. Suppose -c = -4*c. Let u*b**2 + 0 + c*b - 2/5*b**3 + 1/5*b**4 = 0. Calculate b.
0, 1
Let v(t) = -17*t**2 + 1036*t + 61. Let u be v(61). Let a = 1 + 1. Find y such that 0 - 1/8*y**a + u*y = 0.
0
Let x be (-54)/((0 - 1)/(1/1)). Let l = x - 50. Factor 6/7*p**3 + 2/7*p + 6/7*p**2 + 0 + 2/7*p**l.
2*p*(p + 1)**3/7
Let a(f) be the first derivative of -25*f**4/4 - 1910*f**3/3 - 18430*f**2 - 14440*f + 91. Factor a(n).
-5*(n + 38)**2*(5*n + 2)
Let w(u) = -4*u**2 + 333*u - 6714. Let a(o) = -20*o**2 + 1664*o - 33572. Let i(s) = 5*a(s) - 24*w(s). Determine x, given t