. Find j, given that -2/11*j**3 + 2/11*j + 2/11*j**s - 2/11*j**4 + 0 = 0.
-1, 0, 1
Factor -9/2*x**3 - 3/2*x**4 + 0*x + 0 + 6*x**2.
-3*x**2*(x - 1)*(x + 4)/2
Let u be ((-1)/(-1))/(2/4). Let c(x) be the first derivative of 1/2*x - 7/16*x**4 - 1/6*x**3 + 7/8*x**u + 2. Factor c(k).
-(k - 1)*(k + 1)*(7*k + 2)/4
Let b(r) be the third derivative of 1/660*r**6 + 0 + 2/165*r**5 + 0*r + 1/33*r**4 - r**2 + 0*r**3. Find a such that b(a) = 0.
-2, 0
Suppose 0 = -2*x + 2, -x = -8*i + 6*i + 3. Factor -15/4*v**i + 3/2*v + 0.
-3*v*(5*v - 2)/4
Let j(s) = 60*s**3 - 200*s**2 + 55*s + 160. Let i(m) = -15*m**3 + 50*m**2 - 14*m - 40. Let f(t) = 25*i(t) + 6*j(t). Determine z, given that f(z) = 0.
-2/3, 2
Let i be -4 - ((-3 - -7) + -11). Determine v, given that -2*v**i + 120*v**2 - 6*v - 1 - 114*v**2 + 3 = 0.
1
Factor 2/5*x**2 + 2/5*x**3 - 2*x + 6/5.
2*(x - 1)**2*(x + 3)/5
Let x(p) = -2*p - 12. Let m = 5 + -11. Let j be x(m). What is l in 4/7*l + 58/7*l**4 + 30/7*l**2 + 18/7*l**5 + 66/7*l**3 + j = 0?
-1, -2/9, 0
Let c(m) = -m**3 - 4*m**2 - 11*m - 12. Let o be c(-2). Suppose 4*g - 20 = -0*g. Let -2/5*h**g - 4/5*h**o + 0*h**3 + 0 + 4/5*h**4 + 2/5*h = 0. Calculate h.
-1, 0, 1
Suppose 0 = -6*d + 18*d. Let w(s) be the third derivative of -1/540*s**6 + d + 2*s**2 - 1/27*s**3 + 0*s + 1/108*s**4 + 1/270*s**5. Factor w(c).
-2*(c - 1)**2*(c + 1)/9
Let s = 18 - 16. Let t be (s/(-5))/((-16)/20). Suppose 1/2*j**3 + t - 1/2*j**2 - 1/2*j = 0. Calculate j.
-1, 1
Let n(r) = 12*r - 58. Let c be n(5). Factor -5/6*v**c + 1/6*v**3 - 1/2 + 7/6*v.
(v - 3)*(v - 1)**2/6
Let x(h) be the third derivative of h**7/8820 - h**6/2520 + h**4/24 - 2*h**2. Let d(o) be the second derivative of x(o). Factor d(k).
2*k*(k - 1)/7
Let a(b) = -b**3 + 5*b**2 - 2*b - 5. Let w be a(4). What is d in -2*d**3 + 3*d**w + 4*d - 10*d**2 + 4*d**3 + d**3 = 0?
0, 2/3, 1
Let m(u) = -16*u**2 + 3*u. Let a(t) = -16*t**2 + 2*t. Let p(k) = 7*a(k) - 6*m(k). Factor p(b).
-4*b*(4*b + 1)
Let a(m) be the second derivative of 1/3*m**3 + 0*m**2 - 1/6*m**4 + 0 + m. Factor a(b).
-2*b*(b - 1)
Let x(n) be the second derivative of -n**7/3780 + n**5/180 + n**4/3 - 4*n. Let p(t) be the third derivative of x(t). Factor p(r).
-2*(r - 1)*(r + 1)/3
Let t(x) be the third derivative of -2*x**7/105 + 4*x**5/15 - 25*x**2. Find u, given that t(u) = 0.
-2, 0, 2
Let n = 74 - 41. Suppose -4*h = 4*b - 24, -5*h - n = -3*b - 3*h. Factor -2*d - b*d**2 + 4 + 2*d**3 - 2 + 7*d**2.
2*(d - 1)**2*(d + 1)
Let b(m) be the second derivative of -2*m - 1/15*m**3 + 0 + 2/5*m**2 - 1/30*m**4. Factor b(s).
-2*(s - 1)*(s + 2)/5
Find j such that -16*j**3 + 12*j**2 - j + 8*j - 3*j = 0.
-1/4, 0, 1
Let q(v) be the second derivative of -2*v**5/45 - v**4/54 + 16*v**3/27 + 4*v**2/9 + v + 3. Let q(f) = 0. Calculate f.
-2, -1/4, 2
Let x(a) be the first derivative of 2/39*a**3 + 3 + 6/13*a + 4/13*a**2. Find j such that x(j) = 0.
-3, -1
Let w(c) be the second derivative of c**6/220 + 4*c**5/165 - c**4/33 + 5*c**3/6 + 5*c. Let t(o) be the second derivative of w(o). Suppose t(b) = 0. What is b?
-2, 2/9
Let q be ((-8)/18)/(8/(-6)). Solve -1/3*v**2 + 0*v + q*v**4 + 0*v**3 + 0 = 0 for v.
-1, 0, 1
Factor -8/9 - 8/3*s - 4/3*s**3 - 2/9*s**4 - 26/9*s**2.
-2*(s + 1)**2*(s + 2)**2/9
Let h(x) be the first derivative of -x**4/12 + 2*x**3/9 + 7*x**2/6 + 4*x/3 + 8. Suppose h(n) = 0. What is n?
-1, 4
Let f be (1/(-1))/((-2)/10). Suppose -h + 4*g = -3*h, h - f = 3*g. Let 2*y - 1/2 - y**5 + 5/2*y**4 - 2*y**h - y**3 = 0. What is y?
-1, 1/2, 1
Let i(o) = o**4 + 8*o**3 - 2*o**2 - 30*o - 2. Let y(g) = g**3 - g**2 + g - 1. Let l(j) = i(j) - 2*y(j). Let l(p) = 0. Calculate p.
-4, 0, 2
Factor 2/3 - 5/3*l - l**2.
-(l + 2)*(3*l - 1)/3
Let h(b) be the first derivative of b**3/7 - 9*b**2/7 + 27*b/7 + 28. Factor h(l).
3*(l - 3)**2/7
Let q be 0 + (5 - 1/1). Solve q + r**2 - 2*r - 3*r**2 + 3*r**3 - 2 - r**3 = 0 for r.
-1, 1
Let q(x) be the first derivative of -4*x**5 - 5*x**4/4 + 20*x**3/3 + 5*x**2/2 - 2. Suppose q(m) = 0. What is m?
-1, -1/4, 0, 1
Let c(s) = -5*s**4 + 0*s**4 - 4 - s + 3*s**2 + 2*s**4 + 3*s**3. Let n(d) = -3*d**4 + 4*d**3 + 2*d**2 - d - 5. Let g(a) = -3*c(a) + 2*n(a). Factor g(m).
(m - 1)**2*(m + 1)*(3*m + 2)
Let c = -1 - -4. Let -2*u**c - 3*u**3 + 3*u**3 + 2*u**2 = 0. What is u?
0, 1
Suppose 6*j = 2*j + 20. Factor 0*c**4 + 1/4*c - 1/2*c**3 + 0 + 0*c**2 + 1/4*c**j.
c*(c - 1)**2*(c + 1)**2/4
Let y be -3 - (-12)/3 - 2. Let g(p) = -10*p**3 - p. Let d be g(y). Factor -7*c**2 - 2*c + c**2 - 2*c**5 - 2*c**2 - d*c**4 + 3*c**4 - 12*c**3.
-2*c*(c + 1)**4
Let r = -4 + 6. What is t in -3*t**5 - 57 + 57 + 3*t**4 + 3*t**3 - 3*t**r = 0?
-1, 0, 1
Let n(x) be the first derivative of x**6/3 + 2*x**5/5 - 5*x**4/2 - 2*x**3/3 + 8*x**2 - 8*x - 7. Factor n(d).
2*(d - 1)**3*(d + 2)**2
Let m(k) be the first derivative of k**6/3 - k**4/2 - 7. Factor m(o).
2*o**3*(o - 1)*(o + 1)
Suppose 0 = -g - 2*g + 9. Let b(u) be the second derivative of 0 - 1/30*u**6 + 1/20*u**5 + 1/12*u**4 - 1/6*u**g + 0*u**2 + u. Determine o so that b(o) = 0.
-1, 0, 1
Let a(g) = -32*g**3 + 2*g + 1. Let q be a(-1). Suppose 2*v + 16*v**2 - q*v**2 + 14*v**2 = 0. Calculate v.
0, 2
Let k(d) = -d**2 + 12*d - 3. Let p be k(11). Factor 0*a - a - p*a**2 + 3*a + 9*a**2 + 1.
(a + 1)**2
Solve -7*g - 2*g**5 + 7/2*g**4 - 2*g**2 - 3/2 + 9*g**3 = 0 for g.
-1, -1/4, 1, 3
Let t(d) be the second derivative of -d**7/63 + d**5/15 - d**3/9 + d. Let t(u) = 0. What is u?
-1, 0, 1
Let v(m) be the first derivative of 0*m + 0*m**5 + 1 - 1/28*m**4 + 3/2*m**2 + 1/420*m**6 - 2/21*m**3. Let c(a) be the second derivative of v(a). Factor c(u).
2*(u - 2)*(u + 1)**2/7
Let a be (-13)/26*8/(-2). Factor 0 + 2/11*v - 2/11*v**3 - 2/11*v**4 + 2/11*v**a.
-2*v*(v - 1)*(v + 1)**2/11
Suppose -2/13*h**4 - 6/13*h**3 - 4/13*h**2 + 0 + 0*h = 0. Calculate h.
-2, -1, 0
Let u(g) be the second derivative of g**9/9072 - g**8/1680 + g**7/1890 + g**4/2 + 8*g. Let w(h) be the third derivative of u(h). Factor w(m).
m**2*(m - 2)*(5*m - 2)/3
Let j(m) be the second derivative of 0*m**3 + 3*m + 1/15*m**6 - 1/5*m**5 + 0 + 1/6*m**4 + 0*m**2. Factor j(i).
2*i**2*(i - 1)**2
Suppose -2*m + 21 = 5*o, -3*m + 7*m = o + 9. Let k(h) be the third derivative of 0 - 2*h**2 - 1/24*h**4 - 1/6*h**o + 0*h + 1/120*h**6 + 1/60*h**5. Factor k(u).
(u - 1)*(u + 1)**2
Let w be (-10)/(-2 - 0)*1/1. Let y(b) be the first derivative of -2*b**3 + 3/2*b**4 + b**2 - 2 - 2/5*b**w + 0*b. Factor y(v).
-2*v*(v - 1)**3
Let x(w) be the first derivative of -w**7/420 - w**6/96 - w**5/80 + w**4/96 + w**3/24 + w**2/2 - 1. Let c(v) be the second derivative of x(v). Factor c(r).
-(r + 1)**3*(2*r - 1)/4
Suppose -2*g + 9 = g. Factor -g*i + i + i**2 + i.
i*(i - 1)
Let c(k) be the third derivative of 5/12*k**4 + 2/3*k**3 + 1/15*k**7 + 0*k + k**2 - 1/12*k**6 + 0 - 3/10*k**5. Factor c(r).
2*(r - 1)**2*(r + 1)*(7*r + 2)
Suppose -2*q + 6 = 0, 2*s - q - 3*q = 0. Suppose -2*i + 2*m = -3*i + s, 6 = 3*i + 2*m. What is d in i*d - 2/9*d**4 + 4/9*d**2 + 0*d**3 - 2/9 = 0?
-1, 1
Factor -16/5*i - 2/5*i**2 - 32/5.
-2*(i + 4)**2/5
Factor -4*z**2 - 226*z + z**5 + 226*z + 3*z**4.
z**2*(z - 1)*(z + 2)**2
Let k(j) be the second derivative of -3*j - 11/6*j**3 + 0 + j**4 + j**2. Factor k(t).
(3*t - 2)*(4*t - 1)
Let r be 6/(-120)*4*10/(-8). Factor -1/4*l**3 + 1/2 - 1/2*l**2 + r*l.
-(l - 1)*(l + 1)*(l + 2)/4
Let u be 2 + (1 - (-2 - -3)). Let x be (0 - 0) + (-2)/(-9). Solve -4/9*o**u + 0 + 2/9*o**3 + x*o = 0.
0, 1
Let p(u) = u**3 + u. Suppose -s = -3, -j - 5*s - 15 = -6*s. Let g(a) = 3*a**3 + 2*a**2 + 5*a - 2. Let q(c) = j*p(c) + 3*g(c). Factor q(t).
-3*(t - 2)*(t - 1)*(t + 1)
Let b(w) be the first derivative of 7/2*w**6 + 0*w**2 + 8/5*w**5 + 2/3*w**3 - 11/4*w**4 + 0*w - 3. Find n such that b(n) = 0.
-1, 0, 2/7, 1/3
Let h be (-18)/(-5) + (-4)/(-10). Let d = h + -2. Factor -5*v - 4 + 20*v**3 + 4*v**5 - 5*v + d*v**5 + 20*v**4.
2*(v + 1)**4*(3*v - 2)
Let g(m) be the first derivative of m**7/1120 - m**6/240 + m**5/160 + 4*m**3/3 + 4. Let t(u) be the third derivative of g(u). Factor t(d).
3*d*(d - 1)**2/4
Let o(j) = -j + 4. Let h be o(9). Let q be h/(-8)*(-26)/(-65). Factor 0 - 1/4*i - q*i**2.
-i*(i + 1)/4
Let r(b) be the third derivative of -32*b**7/105 + 4*b**6/15 - b**5/15 + 42*b**2. Factor r(m).
-4*m**2*(4*m - 1)**2
Suppose 2*b = 17*b. Factor b*s + 1/3*s**3 + 0 - 2/3*s**2.
s**2