tive of -4/3*w**3 - 5*w + 0 - 4*w**2 - 1/6*w**4. Determine v, given that b(v) = 0.
-2
Let c(x) be the second derivative of 2*x + 1/30*x**4 + 1/5*x**2 + 2/15*x**3 + 0. Factor c(b).
2*(b + 1)**2/5
Let k be (-2 - 22/(-10))*2. Suppose -11*m = -8*m. Let -2/5*o**2 + m - k*o = 0. Calculate o.
-1, 0
Let t = 283/455 + -2/91. Factor 0*c + 6/5*c**2 - t*c**5 - 3*c**3 + 12/5*c**4 + 0.
-3*c**2*(c - 2)*(c - 1)**2/5
Let r(v) = -v**3 - 2*v**2 + 5*v. Let c be r(-4). Let w be (-30)/c*4/(-15). Factor 0*y**2 + y - 1/3*y**3 + w.
-(y - 2)*(y + 1)**2/3
Let h(b) = 4*b**4 - 44*b**3 - 34*b**2 - 14. Let t(x) = -x**4 + 9*x**3 + 7*x**2 + 3. Let y(g) = 3*h(g) + 14*t(g). Find j, given that y(j) = 0.
-2, -1, 0
Suppose 6*s - s = 0. Let r(h) be the third derivative of 0 + 2*h**2 - 1/30*h**5 + 1/3*h**3 + 0*h + s*h**4. Factor r(q).
-2*(q - 1)*(q + 1)
Let u(m) = -m**4 - m**2 - m. Let t(g) = -10*g**4 - 2*g**3 - 12*g**2 - 12*g. Let n(c) = -t(c) + 12*u(c). What is b in n(b) = 0?
0, 1
Suppose 4*m + 3*l = l + 14, -5*m + 4*l - 2 = 0. What is w in -1/3 - 2/3*w - 1/3*w**m = 0?
-1
Suppose -2*y - 4 = 2. Let s be (-4)/12*y/4. Determine o, given that -1/2*o + 1/4 + s*o**2 = 0.
1
Let f(q) be the second derivative of q**7/28 - q**6/30 - 7*q**5/40 - q**4/12 - 18*q. Determine w, given that f(w) = 0.
-1, -1/3, 0, 2
Let t(n) be the second derivative of n**8/20160 - n**6/720 + n**5/180 + n**4/12 - n. Let u(r) be the third derivative of t(r). Factor u(l).
(l - 1)**2*(l + 2)/3
Let k(u) = 2*u**2 + 24*u + 24. Let l(x) = 4*x**2 + 49*x + 50. Let p(a) = -5*k(a) + 2*l(a). Determine h so that p(h) = 0.
-10, -1
Factor 0*z - 2/7*z**4 + 0*z**3 + 4/7*z**2 - 2/7.
-2*(z - 1)**2*(z + 1)**2/7
Factor -1 + 983*h + 1 - 1108*h + 50*h**2 - 5*h**3.
-5*h*(h - 5)**2
Let q(d) = 5*d**2 - d + 3. Let u be 24/14 - 2/(-7). Let j(b) = -2*b - 1 + b**2 - 2*b**u + b. Let w(i) = -3*j(i) - q(i). Find t, given that w(t) = 0.
0, 2
Let k(q) be the second derivative of -q**4/3 + 2*q**3/3 + 4*q**2 - 16*q. Factor k(l).
-4*(l - 2)*(l + 1)
Let w(p) be the first derivative of -28*p**3/27 + p**2/3 + 4*p/9 + 3. Suppose w(n) = 0. Calculate n.
-2/7, 1/2
Suppose 0 = 5*r + 3*z - 30, -4*z - 20 = -8*z. Find x such that 2*x**2 + 2*x - 2*x + r*x + x**2 = 0.
-1, 0
Let n(a) be the second derivative of 0*a**3 - 1/42*a**7 + 0*a**2 - 1/12*a**4 + 1/30*a**6 + 5*a + 1/20*a**5 + 0. Solve n(m) = 0.
-1, 0, 1
Let q(k) = -k**3 - 4*k**2 - 4*k - 1. Let r be q(-4). Suppose 0 = 6*j - j - r. Determine d, given that -5*d**j + 7*d**4 - d**5 + 2*d**2 - 2*d**5 - d**2 = 0.
0, 1/3, 1
Determine m, given that 46*m**5 + 3*m**4 - 24*m**5 + 6*m**3 - 25*m**5 = 0.
-1, 0, 2
Suppose 4/9*z**2 + 0 + 4/9*z**3 + 0*z = 0. What is z?
-1, 0
Let g(t) be the first derivative of t**2/2 + 8*t - 1. Let u be g(-5). Suppose 2*h**2 + 2*h**3 + 6*h**5 + 6*h**4 + 4*h**u - 4*h**5 = 0. What is h?
-1, 0
Let x = 3509/2 + -73847/42. Let h = -24/7 - x. Find d, given that -1/3*d + h*d**2 + 0 = 0.
0, 1
Factor 6/7*r**2 - 4/7*r - 2/7*r**3 + 0.
-2*r*(r - 2)*(r - 1)/7
What is j in -1/4*j**3 + j**2 + 0*j + 0 = 0?
0, 4
What is h in 1/2*h**2 + 1/6*h**3 + 5/6 - 3/2*h = 0?
-5, 1
Let i(h) be the first derivative of 0*h**4 + 1/20*h**5 + h**2 + 3*h + 1 - 1/2*h**3. Let q(u) be the first derivative of i(u). Factor q(s).
(s - 1)**2*(s + 2)
Let k(d) = -5*d**3 + d**2 - 2*d + 4. Let h(i) = -4*i**3 + i**2 - i + 3. Let f(x) = -4*h(x) + 3*k(x). Let f(g) = 0. What is g?
-1, 0, 2
Let c(i) be the third derivative of i**7/210 - i**6/24 + i**5/10 + i**4/6 - 4*i**3/3 + 35*i**2. Find b such that c(b) = 0.
-1, 2
Let d(s) = -56*s**2 + 12*s + 98. Let f(b) = -5*b**2 + b + 9. Let v(g) = -6*d(g) + 68*f(g). Determine z so that v(z) = 0.
-3, 2
Let x = 22 - 16. Let w = 9 - x. Factor -2*f**2 - f**w - f**2 - 4*f + 3*f - 1 - 2*f.
-(f + 1)**3
Let s(o) be the first derivative of -o**2/2 - 4*o - 3. Let c be s(-6). Factor 5*w - w - 2*w - w**c.
-w*(w - 2)
Let l = -45 - -49. Find x, given that 1/2*x**3 - 1/4*x**l + 0*x + 0 - 1/4*x**2 = 0.
0, 1
Factor 2/23*y + 2/23*y**2 - 12/23.
2*(y - 2)*(y + 3)/23
Let b = -471 - -2357/5. Factor 0*c**2 - 8/5*c**5 + 0 - b*c**4 + 0*c**3 + 0*c.
-2*c**4*(4*c + 1)/5
Factor -9/4*t**2 + 3/2*t - 1/4 + t**3.
(t - 1)**2*(4*t - 1)/4
Solve 66*j**4 + 68*j**3 - 90*j**5 - 79*j**2 + 3*j + 7*j**2 + 13*j = 0.
-1, 0, 2/5, 2/3
Let c = 58 + -54. Factor -2/5*w + 0 - 2/5*w**2 + 2/5*w**3 + 2/5*w**c.
2*w*(w - 1)*(w + 1)**2/5
Let u(b) be the third derivative of -75*b**5/4 + 25*b**4/2 - 10*b**3/3 + 25*b**2. What is k in u(k) = 0?
2/15
Let q(r) be the first derivative of 2*r**4/9 - 10*r**3/27 + r**2/9 - 16. Determine s, given that q(s) = 0.
0, 1/4, 1
Let b(r) be the third derivative of -5*r**8/672 + r**7/84 + r**6/48 - r**5/24 + 15*r**2. Factor b(o).
-5*o**2*(o - 1)**2*(o + 1)/2
Let w be (4 - (-6)/(-3))*2. Solve -11*x**4 + 0*x**3 + 3*x**w + 2*x**5 + 12*x**3 + 2*x - 8*x**2 = 0 for x.
0, 1
Let q(r) be the third derivative of r**8/2184 - 2*r**7/1365 - r**6/780 + r**5/195 + 4*r**2 - 5*r. Determine d so that q(d) = 0.
-1, 0, 1, 2
Let b(r) be the third derivative of 1/16*r**4 + 0*r**5 - 1/6*r**3 + 5*r**2 + 0*r - 1/240*r**6 + 0. Factor b(m).
-(m - 1)**2*(m + 2)/2
Let h(k) be the first derivative of -k**5/20 - 5*k**4/4 - 12*k**3 - 54*k**2 - 108*k + 49. Suppose h(j) = 0. What is j?
-6, -2
Let m = 364 + -1091/3. Suppose 0*t - 1/3*t**2 - m*t**3 + 0 = 0. Calculate t.
-1, 0
Find p, given that -4/7*p**2 - 3/7*p**3 + 0 - 1/7*p = 0.
-1, -1/3, 0
Let q(g) = -5*g**4 + 3*g**2 - 2*g - 2. Let a(o) be the second derivative of o**6/5 - o**4/4 + o**3/2 + 3*o**2/2 - 4*o. Let u(v) = -2*a(v) - 3*q(v). Factor u(s).
3*s**2*(s - 1)*(s + 1)
Suppose -v = 22 - 1. Let s(t) = 4*t**2 - 13*t - 9. Let c(i) = -39*i**2 + 129*i + 90. Let y(p) = v*s(p) - 2*c(p). Suppose y(a) = 0. What is a?
-1/2, 3
Let c(p) = p + 23. Let t be c(-16). Factor 27*o**2 - 38*o**3 - 6*o - 10*o**3 + 12*o**3 + t*o**4 + 8*o**4.
3*o*(o - 1)**2*(5*o - 2)
Suppose 0 = 3*m + 3. Let i(z) = 0 + 4 + z**2 - 5. Let r(c) = -7*c**2 + 7. Let d(a) = m*r(a) - 6*i(a). Factor d(f).
(f - 1)*(f + 1)
Let c(w) be the second derivative of -35*w**7/6 - 7*w**6/6 + 41*w**5/2 - 5*w**4/6 - 55*w**3/2 + 45*w**2/2 - 8*w. Determine p so that c(p) = 0.
-1, 3/7, 1
Let r(j) = j**5 + 3*j**4 - 4*j**3 - 3. Let l(t) = -t**5 - 2*t**4 + 3*t**3 + 2. Let i(o) = 3*l(o) + 2*r(o). Determine c, given that i(c) = 0.
-1, 0, 1
Suppose -9 = -13*s + 10*s. Let y(u) be the first derivative of -1 + 8/33*u**s + 8/55*u**5 + 0*u - 1/11*u**2 - 3/11*u**4 - 1/33*u**6. Factor y(h).
-2*h*(h - 1)**4/11
Let w(d) be the first derivative of d**6/33 + 2*d**5/55 + 19. Factor w(u).
2*u**4*(u + 1)/11
Factor -66 + 126 - 64 + 4*o**2.
4*(o - 1)*(o + 1)
Let n = -1/91 + 121/2730. Let t(k) be the third derivative of k**2 + 0 - n*k**5 + 0*k + 1/6*k**4 - 1/3*k**3. Factor t(c).
-2*(c - 1)**2
Let y be (-13)/(-18) + (-2)/4. Let t = 45 - 45. Let -4/9*b + y*b**2 + t = 0. What is b?
0, 2
Let f = 311 - 306. Let c = -217 - -1955/9. Solve -2/9*h**4 + 0 - c*h**f + 2/9*h**2 + 0*h + 2/9*h**3 = 0 for h.
-1, 0, 1
Let x(c) be the second derivative of c + 1/50*c**5 + 1/30*c**4 + 0 - 1/15*c**3 - 1/5*c**2. Factor x(o).
2*(o - 1)*(o + 1)**2/5
Let k(g) be the first derivative of -g**6/27 - 2*g**5/45 + 5*g**4/18 + 2*g**3/27 - 8*g**2/9 + 8*g/9 - 7. Factor k(o).
-2*(o - 1)**3*(o + 2)**2/9
Factor 2/3*i + 2/3*i**3 + 0 + 4/3*i**2.
2*i*(i + 1)**2/3
Let a(n) be the second derivative of 0*n**2 - 1/22*n**5 + 6*n + 2/33*n**3 + 0 + 1/22*n**4. Suppose a(j) = 0. Calculate j.
-2/5, 0, 1
Let y(t) = 3*t**2 + 12*t + 8. Let z(g) = -3*g**2 - 12*g - 9. Let m(s) = -3*y(s) - 4*z(s). Factor m(o).
3*(o + 2)**2
Let m(y) be the second derivative of -2/15*y**5 - y**4 + 0 - 4*y**3 + y - 9*y**2 - 1/135*y**6. Factor m(n).
-2*(n + 3)**4/9
Suppose -32 = -4*q + 2*o, -3*q + o + 23 = -1. Let b(t) = t**3 + 5*t**2 + 3*t - 4. Let i be b(-3). Determine j, given that j - i*j - 4*j - q - 2*j**2 = 0.
-2
Let d(o) be the second derivative of -o**4/24 + o**3/4 - 21*o. Factor d(p).
-p*(p - 3)/2
Let v(y) = -12*y**2 - 28*y - 6. Let n(g) = -25*g**2 - 57*g - 11. Let x(h) = 6*n(h) - 13*v(h). Solve x(m) = 0.
-3, -2/3
Let m(t) = -t**3 + 4*t**2 - 3*t + 2. Let d be m(3). What is g in d*g + 14*g**2 - 5*g + g - 12*g**2 = 0?
0, 1
Let g = -521/2 - -261. Factor -1 + 3/2*f - g*f**2.
-(f - 2)*(f - 1)/2
Let x(c) = 2*c**5 + 3*c**4 + c**3 - 3*c**2 + 3. Let a(y) = 3*y**5 + 5*