n that -2/11*n**4 + 2/11*n - 2/11*n**f + 0 + 2/11*n**2 = 0.
-1, 0, 1
Let i(g) be the third derivative of -16/15*g**5 + 0 - 2/3*g**3 + 4/3*g**4 + 0*g + 11*g**2. Factor i(x).
-4*(4*x - 1)**2
Let c be 3/(2 + 244/(-128)). Let o(n) = n**2 - 3*n - 1. Let i(w) = 12*w**2 - 32*w - 12. Let l(m) = c*o(m) - 3*i(m). Factor l(z).
-4*(z - 1)*(z + 1)
Let s(n) = -24*n**2 - 68*n + 25. Let p(h) = 12*h**2 + 34*h - 12. Let w(a) = -13*p(a) - 6*s(a). Factor w(u).
-2*(u + 3)*(6*u - 1)
Let t(z) be the third derivative of -z**5/60 - 4*z**4/3 - 128*z**3/3 - 205*z**2. Factor t(y).
-(y + 16)**2
Let p(s) be the first derivative of s**4/6 - 2*s**3/3 - 8*s**2 - 56*s/3 - 31. Solve p(y) = 0.
-2, 7
Suppose -29 + 11 = -18*g. Let d be ((24/140)/g)/(2/28). Determine y so that -d*y**2 + 0 + 4/5*y**3 + 8/5*y = 0.
0, 1, 2
Let k(l) = -11*l**3 + 444*l**2 - 7036*l - 2046. Let i(c) = -13*c**3 + 443*c**2 - 7034*c - 2045. Let d(b) = -2*i(b) + 3*k(b). Factor d(h).
-(h - 32)**2*(7*h + 2)
Let t = 3580/3 + -1193. Let w be 2 + 1/2*0. Determine i, given that -t*i**w + i - 2/3 = 0.
1, 2
Let i(r) be the first derivative of 7*r**6/2 - 1041*r**5/10 - 1407*r**4/8 + 347*r**3 + 159*r**2 - 156*r - 141. Let i(d) = 0. What is d?
-2, -1/2, 2/7, 1, 26
Let m(k) be the first derivative of -k**3/4 - k**2/4 + 43. Find l such that m(l) = 0.
-2/3, 0
Find z, given that -1/2*z**2 - 7 - 9/2*z = 0.
-7, -2
Let o(f) be the third derivative of f**5/135 - 7*f**4/27 + 32*f**3/9 - 44*f**2 - f. Suppose o(q) = 0. Calculate q.
6, 8
Let h(x) be the second derivative of 81*x**7/70 - 9*x**6/8 - 8*x**5/5 - x**4/2 + 4*x**2 - 13*x. Let k(a) be the first derivative of h(a). Solve k(f) = 0.
-2/9, 0, 1
Let v = 114715/13 - 8821. Find j such that 8/13*j - 32/13*j**2 + 0 + v*j**3 - 18/13*j**4 = 0.
0, 2/3, 1
Let y(s) be the third derivative of s**6/540 + s**5/90 + s**4/36 - 8*s**3/3 - 11*s**2. Let l(c) be the first derivative of y(c). What is j in l(j) = 0?
-1
Let a be 448/182 - (-42)/(-91). Factor k**3 - 8/5*k - 4/5 + 7/5*k**a.
(k - 1)*(k + 2)*(5*k + 2)/5
Determine o, given that 1/5*o**2 + 6561/5 - 162/5*o = 0.
81
Let f(u) be the first derivative of -6*u**5/35 - 19*u**4/14 + 100*u**3/21 - 392. Let f(t) = 0. Calculate t.
-25/3, 0, 2
Suppose -33 = -1506*o + 1495*o. Determine n so that -1/2*n**2 + 1/2*n**o - 1/2*n + 1/2 = 0.
-1, 1
Let m be (-14)/(-18) + 180/(-216)*10/25. Factor -m*q**2 - 32/9*q - 64/9.
-4*(q + 4)**2/9
Let t(a) = 5*a**2 - 6*a + 5. Let z be t(1). Let s(u) be the first derivative of 0*u**2 + 2/3*u**3 - 7/4*u**z - 1/2*u**6 + 8/5*u**5 - 5 + 0*u. Factor s(f).
-f**2*(f - 1)**2*(3*f - 2)
Let p be 413/354*(-4)/(-98). Let y(v) be the second derivative of -5/3*v**3 - p*v**7 - 1/3*v**6 - v**5 - v**2 - 7*v + 0 - 5/3*v**4. Let y(c) = 0. Calculate c.
-1
Factor 9/2*q - 6*q**2 + 11 + 1/2*q**3.
(q - 11)*(q - 2)*(q + 1)/2
Suppose 0 = 9*n + 14644 - 5752. Let l be ((-76)/n)/(0 + 2/4). Factor 4/13*p**3 + l + 0*p**2 - 2/13*p**4 - 4/13*p.
-2*(p - 1)**3*(p + 1)/13
Let q(g) be the first derivative of 3*g**4/16 + 9*g**3 + 162*g**2 + 1296*g - 15. Find w such that q(w) = 0.
-12
Let a be 0*((-15)/4 + 4). Factor -1/2*o**3 - 1/2*o**2 + a*o + 0.
-o**2*(o + 1)/2
Suppose 0 = c - 3*c - 3*c. Suppose 0 = -2*n - 4, c = -t + 7*n - 4*n + 8. Factor 2/5*x**t - 4/5*x + 0.
2*x*(x - 2)/5
What is l in -15/8*l**4 - 3*l + 3/8*l**5 + 0 + 9/4*l**3 + 3/2*l**2 = 0?
-1, 0, 2
Let o(t) = t**5 - 2*t**4 - 2*t**2. Let a(w) = 8*w**5 - 42*w**4 + 108*w**3 + 204*w**2 - 1296*w. Let m(h) = -a(h) + 6*o(h). Solve m(f) = 0 for f.
-3, 0, 6
Let d(w) be the first derivative of -2/35*w**5 - 2/21*w**3 + 3/14*w**4 + 20 - 3/7*w**2 + 4/7*w. Let d(k) = 0. What is k?
-1, 1, 2
Let r(z) = -z**2 - 5*z - 7. Let t be r(-4). Let s be -2 + t*4/(-48) - -2. Let -s + 1/4*g - 1/4*g**3 + 1/4*g**2 = 0. Calculate g.
-1, 1
Suppose -4*c + 20 = -2*b, -4*c = -3*b - 0*b - 20. Let p = -5 - -9. Find l such that l**2 - l - l**p + b*l**4 - 55*l**3 + 56*l**3 = 0.
-1, 0, 1
Factor 4*h**2 + 6*h**2 + 108 - 96*h**4 + 5*h**2 + 108*h - 12*h**3 + 93*h**4.
-3*(h - 3)*(h + 2)**2*(h + 3)
Let i(s) = -11*s + 4 - 24 - 10*s + s - 5*s**2. Let r(y) = -5*y**2 - 20*y - 20. Let t(p) = -6*i(p) + 7*r(p). Solve t(o) = 0 for o.
-2
Let f be (-49)/14*16/(-70) + (-136)/255. Factor 2/15*r**4 + 2/3*r**2 + f*r + 8/15*r**3 + 0.
2*r*(r + 1)**2*(r + 2)/15
Let x(d) be the first derivative of 1/2*d**4 - 1/5*d**5 + 31 + 0*d - 1/3*d**3 + 0*d**2. Solve x(t) = 0 for t.
0, 1
Let j be ((-6)/(-10))/(33/10). Solve -j*p**2 - 6/11*p - 4/11 = 0 for p.
-2, -1
Suppose -36 + 2*y**3 - 16*y**2 - 411*y - 401*y + 854*y = 0. What is y?
2, 3
Let v be 69/(-9) + 3/(-9). Let c be (-22)/v - (52/(-16) - -4). Factor 2/3*s**3 + 0 + 8/3*s**c + 8/3*s.
2*s*(s + 2)**2/3
Let r(l) be the second derivative of l**4/9 - 116*l**3/9 + 1682*l**2/3 - 14*l - 6. Let r(t) = 0. What is t?
29
Let a(j) = 9*j**2 + 298*j - 648. Let i(m) = 3*m**2 + 99*m - 216. Let s(l) = -3*a(l) + 8*i(l). Factor s(p).
-3*(p - 2)*(p + 36)
Let g(h) = 1 - 104*h + 105*h + 2*h**2 - h**2. Let w(j) = -2*j**2 - 2*j + 1. Let m(s) = 4*g(s) + 4*w(s). Factor m(k).
-4*(k - 1)*(k + 2)
Let i(g) be the second derivative of -1/48*g**4 - 5*g + 0 + 1/8*g**2 + 0*g**3. What is w in i(w) = 0?
-1, 1
Let l(c) be the second derivative of 0 + 1/24*c**3 - 14*c + 1/48*c**4 - 1/4*c**2. Factor l(x).
(x - 1)*(x + 2)/4
Let f(a) = -16*a**4 + 12*a**3 - 84*a**2 - 12*a + 86. Let b(t) = 6*t**4 - 4*t**3 + 28*t**2 + 4*t - 29. Let r(i) = -14*b(i) - 5*f(i). Solve r(h) = 0.
-3, -1, 1, 2
Find d such that 4 + 13*d**2 + 16*d**4 + 12 - 45*d**2 - 4*d - 4*d**5 + 8*d**3 = 0.
-1, 1, 4
Suppose 4*i + 53 = -27. Let r = i - -36. Determine n so that r - 6*n**3 + 3*n - 2*n**2 + 6*n**2 + 17*n + 4*n - 2*n**4 = 0.
-2, -1, 2
Let d(v) be the first derivative of 2*v**5/5 - 3*v**4/4 - 11*v**3/3 + 3*v**2 - 154. Factor d(f).
f*(f - 3)*(f + 2)*(2*f - 1)
Let h = 71/510 + -2/51. Let a(y) be the first derivative of h*y**2 - 1/20*y**4 + 6 + 0*y + 1/15*y**3 - 1/25*y**5. Factor a(u).
-u*(u - 1)*(u + 1)**2/5
Let x(l) = -l**3 + 4*l**2 - 3*l. Let w be x(3). Let i be (6/(-4) - -2)*w. Factor -3/5*s**3 - 2/5*s**2 + i + 1/5*s.
-s*(s + 1)*(3*s - 1)/5
Let p be 3*1 + (-285)/120. Let i = -1/8 + p. Solve -1/4*c**3 + 1/4*c + 1/2*c**2 - i = 0 for c.
-1, 1, 2
Find z, given that -3/2 - 21/4*z**3 + 9/4*z**2 + 9/4*z + 9/4*z**4 = 0.
-2/3, 1
Let g(q) be the second derivative of -9*q**5/40 + q**4/2 + q**3 - 414*q. Suppose g(d) = 0. What is d?
-2/3, 0, 2
Let i = 2 - -12. Let d be 4/i*49/28. Factor 0 + d*w**2 + w.
w*(w + 2)/2
Solve 192/7 - 2/7*b**2 - 40/7*b = 0 for b.
-24, 4
Find g such that -13*g**4 + 285*g - 15*g**3 + 8*g**4 - 275*g**2 + 185 - 58*g**3 - 212*g**3 + 95 = 0.
-56, -1, 1
Let b(a) be the second derivative of -a**7/378 - a**6/90 + 4*a**5/45 + 22*a**4/27 + 8*a**3/3 + 40*a**2/9 - 6*a + 3. Find k, given that b(k) = 0.
-2, 5
Let q(a) be the first derivative of 9*a**5/35 + 33*a**4/28 + 8*a**3/7 - 6*a**2/7 + 77. Find p, given that q(p) = 0.
-2, 0, 1/3
Let t be (5 - -4)/(18/4). Factor 0*s + 1/3*s**t - 1/3.
(s - 1)*(s + 1)/3
Let b = 56 + -65. Let h be (-2 - b/4)/(35/168). What is q in 2/5*q**2 - h*q + 4/5 = 0?
1, 2
Let 10*z**2 + 135*z**2 - 14 + 4 - 135*z = 0. What is z?
-2/29, 1
Suppose -5*f - 2*b + 73 = -0*b, 4*f + 5*b = 72. Find d such that -f*d**3 + 45*d - 20*d**4 + 10 + 13*d**3 + 55*d**2 = 0.
-1, -1/2, 2
Let n = 28 + -20. Suppose -5*z + 3*r - 5 = 0, 7 + n = 5*z + r. Factor -4*b**2 + z*b + b + b**2 + b**3 - 1.
(b - 1)**3
Suppose 15*i + 18*i = 21*i + 24. Factor 0 - 2/9*z**4 + 8/9*z**i + 0*z**3 + 0*z.
-2*z**2*(z - 2)*(z + 2)/9
Let o(r) be the third derivative of -r**8/504 + 2*r**7/315 - r**5/45 + r**4/36 + 4*r**2 + 24. Solve o(y) = 0.
-1, 0, 1
Determine l, given that 2/23*l**5 - 2/23 - 2/23*l**4 + 2/23*l + 4/23*l**2 - 4/23*l**3 = 0.
-1, 1
Let s(b) be the second derivative of 5*b**4/12 - 25*b**3/2 + 35*b**2 - 206*b. Find t such that s(t) = 0.
1, 14
Suppose 16*i - 14*i - 270 = 0. Let r = 139 - i. Factor 2/9*y**r - 2/9*y**3 + 0 + 2/9*y**5 + 0*y - 2/9*y**2.
2*y**2*(y - 1)*(y + 1)**2/9
Suppose -21*b + 14*b + 3*a + 36 = 0, 3*a = -5*b. Solve -4/13*f**b + 4/13*f + 2/13*f**2 - 2/13*f**4 + 0 = 0 for f.
-2, -1, 0, 1
Factor -12*u**3 - 2*u**4 + 98*u - 238*u**2 + u**4 + 71*u**2 + 71*u**2 + 75*u**2.
-u*(u - 2)*(u + 7)**2
Let o(z) be the third derivative of -z**5/12 + 85*z**4/24 - 2*z**2 + 12*z. Find w such that o(w) = 0.