(2/8)/(6 - j/6). Determine y so that x*y**4 + 0*y + 0*y**3 + 0 - 1/2*y**2 = 0.
-1, 0, 1
Suppose -10*v = -24*v + 28. Let q(o) be the second derivative of 0*o**4 + 0 - 5*o + 1/40*o**5 + 0*o**3 + 0*o**v - 1/120*o**6. Factor q(i).
-i**3*(i - 2)/4
Let l(a) be the second derivative of -a**2 + 0 + 1/480*a**6 + 6*a - 1/24*a**4 - 1/3*a**3 + 1/120*a**5. Let d(z) be the first derivative of l(z). Factor d(k).
(k - 2)*(k + 2)**2/4
Let t(s) be the third derivative of -2*s**8/189 + 46*s**7/945 - 47*s**6/540 + 2*s**5/27 - s**4/36 + 287*s**2. Let t(j) = 0. What is j?
0, 3/8, 1/2, 1
Let r(k) be the third derivative of k**5/60 + 11*k**4/3 - 89*k**3/6 + 250*k**2. Factor r(y).
(y - 1)*(y + 89)
Let u = -255 - -261. Let c(y) be the third derivative of -4*y**2 + 0 + 0*y + 1/40*y**4 + 1/15*y**3 - 1/600*y**u + 0*y**5. Factor c(r).
-(r - 2)*(r + 1)**2/5
Let i be (1*-10)/(14/(-7)). Suppose -v - 2 = d, 0 = -0*v - i*v - 3*d - 2. Factor 14 + 3*g**v + 7 - 18*g + 6.
3*(g - 3)**2
Let v(d) be the first derivative of -d**7/1365 - d**6/780 + d**5/390 + d**4/156 + 17*d**2/2 - 2*d + 50. Let s(t) be the second derivative of v(t). Factor s(l).
-2*l*(l - 1)*(l + 1)**2/13
Suppose 2*g + 91 = 9*g. Suppose -g*d = -14*d. Let -1/2*v**2 + d - v = 0. Calculate v.
-2, 0
Suppose 23 - 11 = 6*g. Factor -67*o**2 + g*o**4 - 57*o**2 + 120*o**2 + 2.
2*(o - 1)**2*(o + 1)**2
Suppose -4*m - 4 = -4*v, 3*m - m - 10 = -4*v. Let g be 1/5*(10 - 1) - m. Find k, given that -2*k**3 + g*k**2 + 6/5*k**4 + 0*k + 0 = 0.
0, 2/3, 1
Let s(d) = 2*d**4 + 23*d**3 - 142*d**2 + 423*d - 444. Let h(w) = 7*w**4 + 91*w**3 - 568*w**2 + 1691*w - 1775. Let f(l) = 6*h(l) - 22*s(l). Factor f(b).
-2*(b - 7)**2*(b - 3)**2
Let y = -37 + 40. Suppose -3*z**y - 2*z**2 + 4*z**2 + 3 + 16*z + 7 - z**3 = 0. What is z?
-1, 5/2
Suppose 2/9*k**3 + 0 + 28/9*k**2 - 10/3*k = 0. What is k?
-15, 0, 1
Let p(z) be the third derivative of -z**6/420 - 2*z**5/105 - z**4/84 + 2*z**3/7 + 344*z**2. Suppose p(v) = 0. Calculate v.
-3, -2, 1
Solve -4*q + 0 + 76/3*q**2 + 11/3*q**4 - 19*q**3 = 0.
0, 2/11, 2, 3
Let g(o) be the first derivative of 17*o**3/3 + 9*o**2 + o - 583. Factor g(t).
(t + 1)*(17*t + 1)
Let u be (-140)/(-12) - 1*(-1)/3. Let c = u - 35/3. Factor j + 0 - c*j**2.
-j*(j - 3)/3
Let u(o) be the third derivative of -o**7/210 - 2*o**6/45 - o**5/10 + o**3/2 - 31*o**2. Let v(f) be the first derivative of u(f). Suppose v(t) = 0. What is t?
-3, -1, 0
Let c(x) be the first derivative of -x**6/2 - 6*x**5/5 + 3*x**4 + 2*x**3 - 9*x**2/2 - 69. Suppose c(z) = 0. Calculate z.
-3, -1, 0, 1
Let a(t) be the third derivative of -t**7/280 - t**6/60 + t**5/40 + t**4/4 + t**3 - 5*t**2. Let o(j) be the first derivative of a(j). Factor o(w).
-3*(w - 1)*(w + 1)*(w + 2)
Let n(p) = -p**2 - p. Let u be (-1*8)/4 - -1. Let b be n(u). Factor b*q**3 - 3*q**4 - 2*q**3 + 4*q**3 + q**4.
-2*q**3*(q - 1)
Let v(n) be the first derivative of -3*n**4/10 - 12*n**3/5 + 3*n**2/5 + 36*n/5 - 489. Find c such that v(c) = 0.
-6, -1, 1
Let j = 1153/6 - 192. Let c(y) be the first derivative of -8*y**2 - 19/4*y**4 + 4*y + 7/5*y**5 + 3 + 25/3*y**3 - j*y**6. Determine h so that c(h) = 0.
1, 2
Let z(m) = -2*m**2 + 15*m - 8. Let d be z(7). Let f be (d/2)/(7/(-28)). Factor 2/11*s**3 + 0*s**f + 2/11*s**4 + 0 + 0*s.
2*s**3*(s + 1)/11
Suppose 5*h = 0, -560 = 4*t - 2*h - 3*h. Let c be (-91)/t - 2/5. Factor 0*m + 1/4*m**3 - c*m**2 + 0.
m**2*(m - 1)/4
Let y(i) be the first derivative of -i**5/30 + 5*i**4/24 - 2*i**3/9 - 133. Let y(r) = 0. What is r?
0, 1, 4
Let g be 280/24 + -12 - (-10)/18. Let j(d) be the third derivative of -11*d**2 + 1/315*d**7 + 1/60*d**6 + 0 + 1/90*d**5 - 1/12*d**4 - g*d**3 + 0*d. Factor j(z).
2*(z - 1)*(z + 1)**2*(z + 2)/3
Let u(c) be the third derivative of 81*c**8/16 - 459*c**7/70 - 87*c**6/10 + 688*c**5/45 - 80*c**4/9 + 8*c**3/3 - 58*c**2. Determine p, given that u(p) = 0.
-6/7, 2/9, 1
Let g(h) = 30*h**5 - 6*h**2 - 5 - 27*h**5 + 9*h**4 + 2*h + 0*h + 2*h**2. Let y(b) = 2*b**5 + 8*b**4 - 4*b**2 + 2*b - 4. Let d(x) = 4*g(x) - 5*y(x). Factor d(c).
2*c*(c - 1)**3*(c + 1)
Let f = -1013 - -3043/3. Factor 14/3*d - f + 8*d**2 - 30*d**3.
-2*(3*d - 1)**2*(5*d + 2)/3
Let u = -309 + 141. Let y = -163 - u. Let 0 - 99/4*o**3 + 30*o**4 + 15/2*o**2 - 12*o**y - 3/4*o = 0. Calculate o.
0, 1/4, 1
Let k(x) be the second derivative of x**7/14 + x**6/5 - x**4/2 - x**3/2 + 7*x - 1. Factor k(b).
3*b*(b - 1)*(b + 1)**3
Factor 15*v**2 - 44*v**2 + 10*v**2 - 24 - 20*v + 15*v**2.
-4*(v + 2)*(v + 3)
Let w be ((-2)/(-2))/((-1)/(-2)). Suppose -3 - 3 = -w*o. Determine p so that -o + 0*p**2 - p**2 - 1 + 5 = 0.
-1, 1
Let w(y) = 3*y**3 - 13*y**2 + 13*y - 3. Let v be w(3). Let b(s) be the third derivative of 0*s**3 + v*s**4 + 0 + 0*s + 1/210*s**5 - 3*s**2. Factor b(a).
2*a**2/7
Let 22*g**3 - 16/5*g**4 + 18/5 - 226/5*g**2 + 114/5*g = 0. What is g?
-1/8, 1, 3
Let a = 101 - 71. Let t = 32 - a. Find m such that -3*m + 0*m**2 + 0*m + 3*m**3 - 3*m**4 + 3*m**t = 0.
-1, 0, 1
Let z(y) = -7*y**5 - y**4 - 21*y**3 + y**2 + 10*y. Let v(n) = -6*n**5 - 2*n**4 - 20*n**3 + 11*n + 2. Let s(d) = 6*v(d) - 5*z(d). Find r such that s(r) = 0.
-3, -2, -1, 1
What is l in -80/13*l - 46/13*l**2 + 8/13 + 42/13*l**3 = 0?
-1, 2/21, 2
Let w be -8 + (-5340)/(-100) + -13. What is a in -w*a + 216/5*a**2 + 24/5*a**4 - 2/5*a**5 + 0 - 108/5*a**3 = 0?
0, 3
Let b(s) = 9*s**3 - 13*s**2 + 49*s - 41. Let l(x) = 4*x**3 - 7*x**2 + 25*x - 21. Let y(q) = 3*b(q) - 7*l(q). Suppose y(j) = 0. Calculate j.
2, 6
Let z(c) = -102*c - 302. Let n be z(-3). Let y(h) be the first derivative of 0*h**2 + 0*h**5 - 1 + 0*h + 9/16*h**n + 1/2*h**3 - 1/8*h**6. Factor y(x).
-3*x**2*(x - 2)*(x + 1)**2/4
Let z be (0 + (-8)/6)*(-12)/118. Let y = 231/472 + z. Factor 1/2*b**2 + 1/8*b**3 + y*b + 1/4.
(b + 1)**2*(b + 2)/8
Let q(u) be the third derivative of -5*u**8/168 + u**7/21 - u**6/50 + 2*u**2 + 24*u. Factor q(b).
-2*b**3*(5*b - 3)*(5*b - 2)/5
Let m be (21/9 - 3)/(-2)*15. Let q(u) be the third derivative of 1/14*u**3 - 7*u**2 + 0*u + 1/28*u**4 + 0 + 1/140*u**m. Factor q(i).
3*(i + 1)**2/7
Let m(k) be the second derivative of -k**4/12 - 182*k**3/3 - 16562*k**2 - 671*k. What is w in m(w) = 0?
-182
Let f(n) be the second derivative of 27*n + 0 + 2/27*n**3 - 2/27*n**4 + 1/45*n**5 + 0*n**2. Find b, given that f(b) = 0.
0, 1
Let h = -25/39 + 21/26. What is t in -h*t**4 + 1/6*t**3 + 0 + 1/3*t**2 + 0*t = 0?
-1, 0, 2
Let m = 470 + -33369/71. Let s = m - -69/142. Determine k so that 1/4 + 0*k**2 - 1/4*k**4 - s*k**3 + 1/2*k = 0.
-1, 1
Let h(u) be the second derivative of 1/2*u**3 - 3*u**2 + 17/5*u**6 + 0 + 9/14*u**7 + 4*u + 69/10*u**5 + 6*u**4. Suppose h(g) = 0. Calculate g.
-1, 2/9
Suppose 0*o - 3/4*o**2 + 3/4 = 0. What is o?
-1, 1
Let v(i) be the third derivative of 1/9*i**3 + 0*i + 0 + 1/540*i**6 + 1/54*i**5 + 7/108*i**4 + 27*i**2. Solve v(p) = 0.
-3, -1
Let o(g) = -g**2 + g + 1. Let c be -4 + 6*(-5)/(-10). Let t(p) = -9*p**2 + 6*p + 9. Let x(m) = c*t(m) + 6*o(m). Find j, given that x(j) = 0.
-1, 1
Let u(k) be the third derivative of 5/336*k**8 + 60025/24*k**4 + 1715/6*k**5 + 245/12*k**6 + 5/6*k**7 + 84035/6*k**3 - 22*k**2 + 0 + 0*k. Factor u(r).
5*(r + 7)**5
Let y(q) be the third derivative of -q**5/90 - 127*q**4/9 - 64516*q**3/9 + 141*q**2. Determine c so that y(c) = 0.
-254
Let w be (-1070)/(-10) - 1*4. Solve -11*a**3 - 100*a**4 + w*a**4 + 2*a**3 + 6*a**2 = 0.
0, 1, 2
Let g = -41/6 + 22/3. Let b(h) be the third derivative of 1/10*h**6 + 0*h - g*h**3 + h**2 + 3/4*h**4 + 0 - 9/20*h**5. Factor b(a).
3*(a - 1)**2*(4*a - 1)
Let m be ((-25)/15 - -1)*(2 - 5). Factor n**m - 16 + 4*n**2 + 23*n**2 - 48*n.
4*(n - 2)*(7*n + 2)
Let z(w) = -w**2 + 3*w. Let n be z(2). Suppose 6*x - 12 = 2*x + 4*p, 6 = n*x - 5*p. Factor -5 - 1 + 8*j - 13*j + 8*j + x*j**2.
3*(j - 1)*(j + 2)
Let o(m) be the second derivative of -m**7/84 - m**6/15 + 11*m**5/40 - m**4/4 - 22*m. Suppose o(i) = 0. What is i?
-6, 0, 1
Let j = -50573/2 - -25288. Solve 0 - j*n - 3/2*n**2 = 0.
-1, 0
Let p(n) = 11*n**2 - 10*n + 5. Let g(z) = 104*z**2 + 18 - 140*z + 107*z**2 + 52 - 56*z**2. Let m(v) = -6*g(v) + 85*p(v). Solve m(r) = 0.
1
Suppose 0 = -5*z + 5*d + 4 - 14, 4*d = 5*z + 5. Let x be (0 - 0)/3 + z. Suppose -3*h**3 - 2*h**5 - 5*h**x - 2*h**5 - h**4 - 11*h**4 = 0. What is h?
-2, -1, 0
Let f(g) = 3*g - 57*g**3 + 9*g**2 - 66*g**3 - 12 + 122