*4/7 - 2*s**3/21 + 154. Determine y, given that x(y) = 0.
-1/12, 0
Determine u so that -4*u**2 - 53 + 130 - 5*u + 0*u**2 + 19 + 13*u = 0.
-4, 6
Let s = -28500475/63 - -452401. Let u = -110/9 + s. Suppose 2/7*t - 4/7 + u*t**2 = 0. What is t?
-2, 1
Determine o so that -1/4*o**3 + 1/2*o - 1/4*o**2 + 0 = 0.
-2, 0, 1
Let k(z) be the third derivative of -z**7/1260 + z**6/180 + 25*z**4/24 - 11*z**2. Let v(a) be the second derivative of k(a). Factor v(s).
-2*s*(s - 2)
Let a be 4 + 7/((-28)/8). Suppose 2*k - a - 2 = 0. Find z such that -z**2 + z + 2 + k - 2 = 0.
-1, 2
Let j(b) be the first derivative of -b**5/10 + 5*b**4/8 + 7*b**3/3 + 285. Factor j(t).
-t**2*(t - 7)*(t + 2)/2
Let -2/11*c**5 - 20/11*c**2 - 10/11*c**4 - 10/11*c - 2/11 - 20/11*c**3 = 0. What is c?
-1
Let h(n) be the first derivative of n**3/18 + n**2/2 + 5*n/6 - 58. Determine u, given that h(u) = 0.
-5, -1
Let k(f) be the first derivative of -4*f**5/5 + 8*f**4 - 8*f**3 - 16*f**2 + 28*f - 43. Determine b so that k(b) = 0.
-1, 1, 7
Suppose -8*y + 2*y**4 - 15/2*y**2 + 2*y**3 - 2 = 0. What is y?
-2, -1/2, 2
Let p = 4 - 6. Let b be (1 - p/(-4))*0. Factor 0 - z**2 + 3*z + b - 2*z**2.
-3*z*(z - 1)
Let r(f) be the first derivative of 5*f**3/3 + 55*f**2/2 + 120*f + 52. Solve r(k) = 0.
-8, -3
Let t = 13 - 9. Suppose -4*y + t*b = -0*b + 12, 5*y = 2*b. Factor -2*v**4 + 3*v**4 + 5*v**4 - 3*v**5 - 6*v**y + 3*v.
-3*v*(v - 1)**3*(v + 1)
Factor 0 + 2/3*n**2 + 0*n + 2/3*n**3 + 1/6*n**4.
n**2*(n + 2)**2/6
Factor 0*j + 2*j**2 + 2/5*j**4 + 0 - 12/5*j**3.
2*j**2*(j - 5)*(j - 1)/5
Factor 54/5 - 52/5*g - 2/5*g**2.
-2*(g - 1)*(g + 27)/5
Let u(d) be the third derivative of d**10/136080 - d**8/10080 + d**7/5670 + 25*d**4/24 - 23*d**2. Let x(o) be the second derivative of u(o). Factor x(g).
2*g**2*(g - 1)**2*(g + 2)/9
Factor 1/3*y**3 - 1/3 - 1/3*y + 1/3*y**2.
(y - 1)*(y + 1)**2/3
Let d(l) be the third derivative of 0 - 1/420*l**6 - 14*l**2 + 0*l - 3/70*l**5 - 5/28*l**4 + 25/21*l**3. Suppose d(v) = 0. Calculate v.
-5, 1
Let i be (-2)/2 + 1*(-6 + 3). Let d be 8/i + 12/3. Find r such that 3*r**4 + 0*r + 27/4*r**3 + 3/2*r**d + 0 = 0.
-2, -1/4, 0
Let n(d) be the first derivative of 4*d**3/3 + d**2/2 - 3. Let m be n(-1). Let -3*l**4 - 3*l**5 + 3*l**4 + 3*l**2 + 6*l**m - 3*l**4 - 3*l**3 = 0. Calculate l.
-1, 0, 1
Let y = 739 + -739. Factor -8/5*c**3 + y*c**2 - 4/5*c**4 + 4/5 + 8/5*c.
-4*(c - 1)*(c + 1)**3/5
Let q(v) be the third derivative of v**5/330 - v**4/66 + v**3/33 - 102*v**2. Suppose q(c) = 0. Calculate c.
1
Let r(c) = c**2 + 32*c + 2. Let i be r(-32). Let q(y) be the second derivative of -5*y + 1/12*y**4 + 0 + 0*y**i + 1/2*y**3. Find o, given that q(o) = 0.
-3, 0
Let f(o) be the third derivative of o**6/480 - o**5/80 - 3*o**4/32 - 5*o**3/24 - 71*o**2. Solve f(t) = 0 for t.
-1, 5
Let v(s) = -12*s**4 - 12*s**3 + 14*s**2 + 12*s - 1. Let f(i) = -2*i**4 + 1. Let o(n) = f(n) + v(n). Factor o(y).
-2*y*(y - 1)*(y + 1)*(7*y + 6)
Let a(f) = 2*f**3 + 62*f**2 + 77*f. Let p(i) = -i**3 - 21*i**2 - 26*i. Let t be (1 - -17) + (-7 - (-36)/6). Let v(o) = t*p(o) + 6*a(o). Factor v(h).
-5*h*(h - 4)*(h + 1)
Let g(j) be the first derivative of j**6/2700 - j**5/225 + j**4/45 - j**3 - 2. Let l(i) be the third derivative of g(i). Factor l(c).
2*(c - 2)**2/15
Suppose 12*w = 6*w + 30. Let o(g) be the second derivative of 0 - 1/6*g**4 + 0*g**2 - 1/3*g**3 + w*g. Solve o(v) = 0 for v.
-1, 0
Let w(v) = -2*v. Let c(q) = -q - 11. Let f be c(-10). Let n be w(f). Factor 3*b + 2*b**2 - 2*b - n - b.
2*(b - 1)*(b + 1)
Suppose 31*c = -102*c + 532. Let k(a) be the third derivative of -1/30*a**6 + 1/6*a**c + 1/15*a**5 - 5*a**2 + 0 + 0*a - 2/3*a**3. Solve k(z) = 0 for z.
-1, 1
Let d(z) be the second derivative of z**9/15120 - z**8/3360 + z**6/360 - z**5/120 - z**4/2 - 21*z. Let i(x) be the third derivative of d(x). Factor i(w).
(w - 1)**3*(w + 1)
Suppose -3*b + 673*b**2 - 16*b - 672*b**2 + 1 - 1 = 0. What is b?
0, 19
Let y(x) be the second derivative of -10/3*x**3 - 65/36*x**4 - 10/3*x**2 - 5 + 4*x - 1/18*x**6 - 1/2*x**5. Factor y(n).
-5*(n + 1)**2*(n + 2)**2/3
Let h be 17/(119/28) - (2 - 0). Let q(i) be the first derivative of -2/15*i**h + 1 + 2/75*i**5 + 0*i + 0*i**4 - 2/15*i**3. Suppose q(v) = 0. Calculate v.
-1, 0, 2
Let j be (-156)/(-24) + 1/(-2). Factor 46 + 0*x - 34 - 4*x**2 + j*x**2 + 10*x.
2*(x + 2)*(x + 3)
Let w(q) be the first derivative of -q**6/3 - 2*q**5/5 + 3*q**4 - 241. Determine c, given that w(c) = 0.
-3, 0, 2
Let c(v) = -v**2 + 5*v - 5. Let p be c(2). Let d = p + 0. Find w such that 3 - 3*w**2 - 1 + d = 0.
-1, 1
Let g(z) be the first derivative of -5*z**4/12 - 20*z**3/9 + 255. Factor g(f).
-5*f**2*(f + 4)/3
Let n(h) be the first derivative of -h**4/12 - 14*h**3/9 + 17*h**2/6 + 10*h - 126. Factor n(q).
-(q - 2)*(q + 1)*(q + 15)/3
Let n(p) be the third derivative of 7*p**5/20 + 5*p**4/8 - p**3 - 16*p**2 - p. Factor n(i).
3*(i + 1)*(7*i - 2)
Let h = 15153/10100 - 3/10100. Factor -5/4*v - 1/4*v**2 - h.
-(v + 2)*(v + 3)/4
Let u = 15 + -15. Suppose 5*k - 3 - 7 = u. Let -1 - k*r - 6*r**2 + r**3 + 2*r**2 + r + 5*r**2 = 0. Calculate r.
-1, 1
Factor -212/7*c + 2/7*c**2 + 5618/7.
2*(c - 53)**2/7
Let v(a) be the first derivative of 0*a + 0*a**5 - 1/720*a**6 - 5/2*a**2 + 0*a**3 - 5 + 1/144*a**4. Let g(x) be the second derivative of v(x). Factor g(y).
-y*(y - 1)*(y + 1)/6
Solve -6/7*t**2 + 2/7*t**3 + 6/7*t - 2/7 = 0 for t.
1
Let d(f) = f**3 + 2*f**2 + 2. Let a be d(-2). Let y be ((-60)/8)/3*18/(-15). Let -1/6*c**y + 0*c + 0 - 1/6*c**a = 0. What is c?
-1, 0
Solve -5*w**3 + 1/2*w**4 + 9/2 - 5*w**2 + 1/2*w**5 + 9/2*w = 0 for w.
-3, -1, 1, 3
Let f(w) be the first derivative of -15/4*w**4 + 0*w**3 + 24 - 2*w**5 + 5/2*w**2 + 0*w. What is q in f(q) = 0?
-1, 0, 1/2
Let n(b) = -5*b**3 + 15*b**2 + 2*b - 22. Let o(k) = -60*k**3 + 180*k**2 + 25*k - 265. Let m be 2/1*(-2 + 1)*1. Let l(u) = m*o(u) + 25*n(u). Solve l(s) = 0.
-1, 2
Factor -11*i**2 + 22*i**2 - 120 - 4*i + 56*i - 7*i**2 + 0.
4*(i - 2)*(i + 15)
Let r(b) = b**3 + b - 1. Let j = -6 - -2. Let i(t) = -12*t**3 + 16*t**2 - 14*t + 6. Let v(f) = j*r(f) - i(f). Factor v(m).
2*(m - 1)*(2*m - 1)**2
Let w(b) be the third derivative of b**6/60 - 8*b**5/15 - 4*b**4 + 384*b**3 + 77*b**2 + 2. Factor w(o).
2*(o - 12)**2*(o + 8)
Let a be (0/(-1) - -3)/1. Suppose 2*q + 3*g + 24 = 26, -3*g = 4*q - 4. Suppose q - 1/2*t**a - t**2 + 1/2*t = 0. Calculate t.
-2, -1, 1
Suppose 18 - 20 = -k. Let a(y) = -y**3 + y**2 - y - 1. Let q(g) = -g**5 + 2*g**4 + 10*g**3 - 11*g**2 + 11*g + 11. Let n(p) = k*q(p) + 22*a(p). Factor n(i).
-2*i**3*(i - 1)**2
Determine q so that -6 - 9 + 16*q**3 - 16*q - 5*q**2 + 3*q**2 + 23 - 6*q**4 = 0.
-1, 2/3, 1, 2
Let a be (2/(-15))/((-3)/5). Suppose -240*f + 260*f = 40. Factor 4/9 - a*b - 2/9*b**f.
-2*(b - 1)*(b + 2)/9
Let f = 592/2637 - 2/879. Let c be 2/4 - (2 - (-70)/(-36)). What is t in -c + f*t**2 + 2/9*t = 0?
-2, 1
Let a(m) = 3*m - 2. Let w be a(4). Suppose -2*q + w - 6 = 0. Factor 4 - 3*o**3 - 3*o**q + 9*o - 6 - 2*o + o**2.
-(o - 1)*(o + 2)*(3*o - 1)
Suppose -r = 2*r - r. Let b(x) be the second derivative of 4*x + r + 1/10*x**3 + 0*x**2 - 1/10*x**4 + 3/100*x**5. Factor b(u).
3*u*(u - 1)**2/5
Let u(f) = -f + 9. Let k = 17 - 10. Let g be u(k). Determine d, given that 7*d**2 + 2*d - 5*d**2 + 2*d + 0*d**g = 0.
-2, 0
Let t(d) be the first derivative of 6/5*d + 34 + 2/5*d**3 + 2*d**2. Determine k so that t(k) = 0.
-3, -1/3
Suppose 0 = 11*f - 28 + 6. Factor -161*k**2 + 4*k**3 + 43*k**2 - f + 53*k**2 + 52*k**2 + 11*k.
(k - 2)*(k - 1)*(4*k - 1)
Let m(h) be the second derivative of 108*h**5/5 - 2*h**4 + h**3/18 - 34*h. Suppose m(a) = 0. What is a?
0, 1/36
Let d(t) = -t**2 - t - 2. Let r(h) = -h**3 - 6*h**2 - 4*h - 8. Let j(n) = 12*d(n) - 3*r(n). Factor j(i).
3*i**2*(i + 2)
Factor 13/3*m + 1/6*m**2 + 169/6.
(m + 13)**2/6
Factor 5*z**2 - 35 + 15 - 100 - 4*z - 46*z.
5*(z - 12)*(z + 2)
Let p = -47 - -25. Let w = -20 - p. Let z**3 + 3*z**3 - 6*z**3 + w*z**2 = 0. Calculate z.
0, 1
Let a(o) be the second derivative of o**5/60 - o**4/36 - 5*o**3/18 - o**2/2 + o - 2. Find r, given that a(r) = 0.
-1, 3
Let m(y) = -y**2 + 4*y - 3. Let s be m(1). Let f(k) be the first derivative of 0*k**3 + 12 + s*k**2 + 0*k - 3/4*k**4. Suppose f(x) = 0. Calculate x.
0
Let a(r) be the first derivative of -16/3*r + 4/9*r**3 + 2*r**2 -