(d). Determine v so that s(v) = 0.
-2, -1, 0
Find z, given that 24*z**4 + z + 4*z + 2*z**4 + 30*z**3 + 8*z**5 - 3*z + 14*z**2 = 0.
-1, -1/4, 0
Suppose 2*h + 12 = j + 4*h, -j = 5*h - 3. Let x be 40/j - 6/27. Suppose 0*s**3 + 4*s - 6*s**3 + 7*s**2 - 6*s**5 - 14*s**4 - s**x = 0. What is s?
-1, 0, 2/3
Let b(f) = 13*f + 2. Let i be b(2). Factor 1 + 27*n**3 - i*n**3 + 3*n**2 - 3*n + 0 + 0.
-(n - 1)**3
Let s be 1/(18/(-8))*(-15)/10. Factor 1/3*a**2 - s - 1/3*a.
(a - 2)*(a + 1)/3
Suppose 4*a + 88 = -3*y, 0*a - 4*a = y + 40. Let j be (-9)/y*-10 + 4. Factor 1/2*b**2 + 0 - 1/4*b - j*b**3.
-b*(b - 1)**2/4
Suppose 0 = 4*j + 5*b - 13, 8*j - 3*b - 7 = 3*j. Let z(q) be the first derivative of 1/3*q**j + 2/9*q**3 - 4/3*q + 4. Factor z(t).
2*(t - 1)*(t + 2)/3
Let q be (-2 + -4)*(-4)/6. Suppose q*f + 0*f = 4. Determine j so that 2*j**3 + j**4 + f - 4*j**5 - 8*j**2 + 2*j + 6*j**4 + 0*j**4 = 0.
-1, -1/4, 1
Suppose 3*i - 2*i + 3*i**2 + 6*i - 4*i = 0. What is i?
-1, 0
Determine r so that 0 + 0*r - 4/3*r**3 + 8/3*r**2 - 4/3*r**4 = 0.
-2, 0, 1
Let s(o) be the first derivative of -o**6/39 - 12*o**5/65 - 7*o**4/13 - 32*o**3/39 - 9*o**2/13 - 4*o/13 + 4. Let s(j) = 0. What is j?
-2, -1
Determine n so that -15*n**2 + 28*n**2 - 12*n**2 - 3 - 1 = 0.
-2, 2
Suppose -7*h + 3*h = -5*t + 179, -4*h + 3*t = 181. Let i be 3/(-2) - h/20. Suppose -4/5*y - i - 1/5*y**2 = 0. Calculate y.
-2
Let s be (-2)/(-9) - 10/(-36). Suppose 5*y + 6*w - w + 5 = 0, 0 = -5*y + 4*w + 22. Factor -s + 1/2*g**y + 0*g.
(g - 1)*(g + 1)/2
Let -6*c**2 + 3 - 3/2*c - 3/2*c**5 + 3*c**3 + 3*c**4 = 0. Calculate c.
-1, 1, 2
Let z be (2 - 1 - 1)/1. Suppose z = 6*v - 5*v. Factor -1/3*p**2 - 1/3*p + v.
-p*(p + 1)/3
Let m be 5/25 - (12/10 + -3). Determine g so that -g - 1/4*g**m - 1 = 0.
-2
Let l = 48 - 48. Determine c so that l*c + 0 - 2/7*c**3 - 2/7*c**5 + 0*c**2 + 4/7*c**4 = 0.
0, 1
Let 8/11*o**2 - 4/11 - 6/11*o - 4/11*o**4 + 6/11*o**3 = 0. Calculate o.
-1, -1/2, 1, 2
Let p(s) = s**3 - 6*s**2 + 5*s + 2. Let u be p(5). Let q be (-1)/(0 + (-5)/u). Let -2/5 + 4/5*t**4 - t + 1/5*t**5 - q*t**2 + 4/5*t**3 = 0. What is t?
-2, -1, 1
Let l(t) be the first derivative of t**7/630 - t**6/360 + t**2 - 2. Let z(v) be the second derivative of l(v). Suppose z(u) = 0. What is u?
0, 1
Let t(w) be the first derivative of w**8/560 + 3*w**7/280 + w**6/60 + 5*w**3/3 + 1. Let h(a) be the third derivative of t(a). Factor h(z).
3*z**2*(z + 1)*(z + 2)
Let h be 97/48 - (-7 + 9). Let q(u) be the second derivative of -h*u**4 - 1/12*u**3 - 1/8*u**2 - 3*u + 0. What is i in q(i) = 0?
-1
Let l(g) be the first derivative of -g**3/15 + g**2/5 - g/5 + 1. Let l(c) = 0. Calculate c.
1
Find h such that 10/17*h**2 + 0 - 8/17*h - 2/17*h**3 = 0.
0, 1, 4
Suppose w - 68 = -4*m, -2*w - 2*m = w - 154. Let q be (1/4)/(6/w). Factor x**q - 2/3 + 1/3*x**3 - 1/3*x**4 - 1/3*x.
-(x - 2)*(x - 1)*(x + 1)**2/3
Suppose 2*u + 6 = 16. Find b, given that -5*b**2 + b**2 - 5*b + 2 + 2*b + u*b**2 = 0.
1, 2
Let w(l) be the second derivative of -2*l**4 + 3*l + 0 - 2/15*l**6 - 8/3*l**3 - 4/5*l**5 - 2*l**2. Factor w(a).
-4*(a + 1)**4
Factor 0 + 2/7*o**3 + 4/7*o**2 + 0*o.
2*o**2*(o + 2)/7
Let f(p) = -p**3 + 6*p**2 + 8*p - 6. Let v be f(7). Factor 0*i**2 - 5*i**2 - v + 4*i**2 + 2*i.
-(i - 1)**2
Let v(u) be the second derivative of -2*u**6/15 + 4*u**5/5 - u**4/3 - 4*u**3 - u - 1. Find q, given that v(q) = 0.
-1, 0, 2, 3
Determine o, given that -10/7*o**2 - 2/7 + 12/7*o = 0.
1/5, 1
Let m(a) be the second derivative of 3*a**5/40 - 7*a**4/8 + 2*a**3 + 12*a**2 + 4*a. Let m(t) = 0. Calculate t.
-1, 4
Let c(v) be the first derivative of 2*v**5/25 - v**4/2 - 14*v**3/15 + v**2 + 12*v/5 - 18. Factor c(i).
2*(i - 6)*(i - 1)*(i + 1)**2/5
Determine x so that 3*x**3 - 5*x + x**3 - x**5 + 4*x - 2*x**3 = 0.
-1, 0, 1
Let g = -31 + 37. Suppose -15 = -11*r + g*r. Solve 0 - 1/5*k**r - 2/5*k**2 - 1/5*k = 0 for k.
-1, 0
Let j(g) be the second derivative of -g**4/4 + g**3/2 + 3*g**2 + 6*g. Suppose j(l) = 0. Calculate l.
-1, 2
Let t be 1/(-12)*(-4)/38. Let r = t - -149/342. Factor 2/3*x**3 - 2/3*x - 4/9 + r*x**2.
2*(x - 1)*(x + 1)*(3*x + 2)/9
Factor 4/7 - 2/7*o - 2/7*o**2.
-2*(o - 1)*(o + 2)/7
Let q(l) be the second derivative of -l**8/3360 - l**7/1260 + l**6/180 + 2*l**4/3 + 7*l. Let o(u) be the third derivative of q(u). Suppose o(p) = 0. What is p?
-2, 0, 1
Let n(a) = -a**2 - a + 7. Let f be n(-3). Determine y so that -f - 3*y**2 + 3*y - 3*y**3 + 1 + 0 + 3 = 0.
-1, 1
Suppose 6*a = 2*a + 8. Let n(g) be the third derivative of 0 + 0*g**3 - 3*g**a + 0*g**4 + 0*g + 1/480*g**6 + 1/240*g**5. Find k such that n(k) = 0.
-1, 0
Let c(r) be the first derivative of -4*r**3/15 + 6*r**2/5 - 7. Factor c(x).
-4*x*(x - 3)/5
Let d be (-132)/(-63) + -1*(7 + -5). Let n(s) be the first derivative of d*s**3 + 2 + 0*s + 1/7*s**2. Factor n(l).
2*l*(l + 1)/7
Let j(r) = -3*r - 6. Let w be j(-2). Solve -2/3*l**3 - 2/3*l**4 + w + 2/3*l + 2/3*l**2 = 0.
-1, 0, 1
Factor 2/7*q**2 + 0 + 4/7*q.
2*q*(q + 2)/7
Let g = 2 - 2. Suppose 4*f + c + g = 6, 0 = -4*f - 2*c + 4. Suppose -2*w - 4*w**2 - 2*w**3 + 2*w**f - 2*w**2 = 0. Calculate w.
-1, 0
Let b(k) = k + 6. Let t be b(-6). Let v = 5 - 3. Solve 2*i + 2*i**2 + t*i**v + 2*i = 0.
-2, 0
Let s(n) = 5*n**2 + 4*n - 4. Let q(p) = -4*p**2 - 3*p + 3. Suppose 0*v + 4*v = -12. Suppose -2*k - 3 = 5. Let h(o) = k*q(o) + v*s(o). Factor h(x).
x**2
Factor 3 + 2*i**2 - i**4 - i**2 + 5*i**2 + 8*i.
-(i - 3)*(i + 1)**3
Let s be (-5)/(125/(-60)) + (-4)/2. Factor 2/5*o**5 + 0 + s*o**2 + 0*o - 2/5*o**3 - 2/5*o**4.
2*o**2*(o - 1)**2*(o + 1)/5
Suppose 0 = f - 1 + 3. Let w be (2 + f)/(-1 - -3). Determine i, given that -2/7*i + w + 2/7*i**2 = 0.
0, 1
Factor -77*h + 2*h**2 + 4*h**3 - 16*h**4 + 69*h + 26*h**2 + 16*h**3.
-4*h*(h - 2)*(h + 1)*(4*h - 1)
Factor 18*n**2 + 1 + 22*n - 1 - 1 + 5.
2*(n + 1)*(9*n + 2)
Let -4/9*j - 2/9*j**3 - 2/3*j**2 + 0 = 0. Calculate j.
-2, -1, 0
Let d(q) = q**3 + q - 1. Let k be (-10)/4 - (-3)/6. Let r(o) = -o**5 - o**4 - 2*o**3 - 2*o + 2. Let g(b) = k*d(b) - r(b). Let g(t) = 0. Calculate t.
-1, 0
Find o such that 0 - 3/2*o**2 + 1/2*o**4 + 0*o**3 + o = 0.
-2, 0, 1
Let p be -10 + (-2)/(-3)*6. Let i(s) = -4*s**3 - 23*s**2 - 23*s - 4. Let f(a) = a**3 + 6*a**2 + 6*a + 1. Let j(r) = p*i(r) - 22*f(r). Factor j(b).
2*(b + 1)**3
Factor 1/4*o + 3/2 + 1/4*o**3 - o**2.
(o - 3)*(o - 2)*(o + 1)/4
Suppose -2*q = q - 6. Let l be (q/6)/((-2)/(-24)). Factor -2*i**2 + 0*i**l - i**4 + 3*i**4.
2*i**2*(i - 1)*(i + 1)
Let i = -185 + 1667/9. Find h, given that 2/9*h**4 - 4/9 - 2/3*h**2 + i*h**3 - 10/9*h = 0.
-1, 2
Let x(m) be the first derivative of -2*m**3 - 16*m**2/3 + 8*m/3 - 2. Determine u, given that x(u) = 0.
-2, 2/9
Let o(y) = y**5 - y**4 + y**2 + y - 1. Let r(s) = -7*s**5 + 4*s**4 + s**3 - 4*s**2 - 6*s + 6. Let b(t) = -6*o(t) - r(t). What is h in b(h) = 0?
-2, -1, 0, 1
Let x(h) be the second derivative of h**8/10080 - h**6/1080 + h**4/4 - 6*h. Let f(m) be the third derivative of x(m). Solve f(g) = 0 for g.
-1, 0, 1
Find h, given that -33*h**3 + 16*h**3 + 72*h**2 + 45*h - 26*h**3 + 6 - 5*h**3 = 0.
-1/4, 2
Let a(x) be the third derivative of -x**7/420 - 11*x**6/240 - x**5/5 + 3*x**4/4 - 4*x**2 - 2*x. What is s in a(s) = 0?
-6, 0, 1
Let z(k) be the first derivative of -k**4 + 2*k**2 + 2. Factor z(u).
-4*u*(u - 1)*(u + 1)
Suppose 3*c = 6*c. Let n(m) be the third derivative of 0 + c*m**5 + 1/30*m**6 + m**2 + 1/3*m**3 - 1/105*m**7 - 1/6*m**4 + 0*m. Factor n(l).
-2*(l - 1)**3*(l + 1)
Let p(g) be the first derivative of 2*g**5/35 - g**4/14 - 4*g**3/21 + 6. Solve p(s) = 0 for s.
-1, 0, 2
Let r(q) be the second derivative of -1/28*q**4 + 0*q**2 + 0 + 3*q - 3/14*q**3. Factor r(o).
-3*o*(o + 3)/7
Factor 80*z + 337 + 40*z**3 - 7*z**4 + z**5 - 80*z**2 - 3*z**4 - 369.
(z - 2)**5
Let p(k) be the second derivative of -2*k**6/45 + k**5/3 - 7*k**4/9 + 2*k**3/3 - 9*k. Factor p(x).
-4*x*(x - 3)*(x - 1)**2/3
Let u be -2*(4 - 1 - 4). Let j(y) be the third derivative of 0 + 0*y - 1/6*y**3 - y**u + 1/16*y**4 - 1/240*y**6 + 0*y**5. Determine p so that j(p) = 0.
-2, 1
Let t(u) be the second derivative of 2/21*u**4 + 1/14*u**5 - 2*u - 4/21*u**3 + 0*u**2 - 1/35*u**6 + 0. Solve t(v) = 0 for v.
-1, 0, 2/3, 2
Find d such that d**3 - 3*d**2 - 3*d**5 + 3*d**4 - 6*d + 8*d**3 + 3*d**3 - 3*d**3 = 0.
-1, 0, 1, 2
Suppose t = -t + 4*d + 30, 2