**4 - 14/3*b**3 - 10/3*b = 0.
-1, -1/2
Let c(f) = f**2 - 10*f - 5. Let v be c(11). Suppose -v*n = -4*n. Find w, given that n - 2/5*w**2 + 0*w - 2/5*w**3 = 0.
-1, 0
Let z be 28/378*3/2. Let l(x) be the first derivative of -3 + 0*x**3 + z*x**6 - 4/15*x**5 + 1/6*x**4 + 0*x + 0*x**2. Solve l(o) = 0.
0, 1
Let u = 1 - 3. Let n be -1*(u - -3 - 1). What is q in -2/3*q**3 - 2/9*q**5 + n*q + 0 - 2/9*q**2 - 2/3*q**4 = 0?
-1, 0
Let j(p) be the first derivative of -p**3 - 3*p**2 - 3*p + 7. Factor j(k).
-3*(k + 1)**2
Let q be 2 + 1/(-1) + 2. Suppose -5*t - 2 = -2*g + g, 0 = -4*t. Let -g*p - 3*p**3 + p - q*p**3 - 5*p**2 = 0. What is p?
-1/2, -1/3, 0
Suppose 8*a - 25 = 3*a. Factor a*g + 2 + g - 2*g**2 - 6.
-2*(g - 2)*(g - 1)
Let d(y) = 5*y**2 + 2*y + 1. Let h be d(-1). Let l be (-3 + h)*(0 - -2). Find j such that 3*j**2 - 7*j**l + 2*j**2 = 0.
0
Suppose 16*w + 9 = 9. Let x(g) be the second derivative of 4*g - 1/10*g**3 - 1/5*g**2 + w*g**4 + 1/100*g**5 + 0. Find v, given that x(v) = 0.
-1, 2
Let p(k) be the third derivative of -k**8/504 + k**6/180 + 16*k**2 - 2*k. Factor p(f).
-2*f**3*(f - 1)*(f + 1)/3
Let f = 7 + -3. Let a be (2/(-18))/(f/(-12)). Factor 2/3*h + a + 1/3*h**2.
(h + 1)**2/3
Let v(j) be the third derivative of -j**11/997920 - j**10/151200 - j**9/90720 - j**5/60 + 4*j**2. Let t(y) be the third derivative of v(y). Factor t(s).
-s**3*(s + 1)*(s + 2)/3
Let s be 64/24 + (-4)/6. Let 5*w**2 - 5*w**3 + 3*w**2 + s*w**5 + 8*w**4 + 17*w**3 + w + w = 0. Calculate w.
-1, 0
Suppose 0 = -3*o - 3 - 3. Let i be 0 + 1 - (o - 1). What is s in i*s**2 - s**4 - 9*s**2 - 5*s**3 - 2*s + s**3 = 0?
-2, -1, 0
Suppose -5*x = -2*x + v - 10, 2*x + v - 8 = 0. Determine g, given that 7/2*g**3 - 3/2*g + 4*g**5 + 7/2*g**x - 9*g**4 - 1/2 = 0.
-1/2, -1/4, 1
Let u = 4877 + -2340959/480. Let m(p) be the third derivative of u*p**6 - 1/120*p**5 - 2*p**2 + 0*p**3 + 1/96*p**4 + 0*p + 0. Factor m(i).
i*(i - 1)**2/4
Let j(f) = -3*f**4 + f**3 - f**2 + 7*f - 4. Let u(x) = -3*x**4 + 2*x**3 - 2*x**2 + 8*x - 5. Suppose 1 = h - 3. Let q(a) = h*u(a) - 5*j(a). Factor q(o).
3*o*(o - 1)*(o + 1)**2
Suppose 8*c = 6*c. Let j(u) be the first derivative of c*u**2 - 2 - 1/10*u**4 + 1/15*u**6 - 2/15*u**3 + 2/25*u**5 + 0*u. Factor j(g).
2*g**2*(g - 1)*(g + 1)**2/5
Let l = -30 + 36. Suppose -u - 2*a = l, 5*u + 0*u - a = 3. Let 0*v - 1/6*v**2 + u = 0. What is v?
0
Let j be 4/(-3) + (-884)/(-195). Suppose -34/5*t**3 + 68/5*t**2 + 6/5*t**4 + j - 56/5*t = 0. Calculate t.
2/3, 1, 2
Let u = 1733/7 + -247. Suppose 2*g - 4*p - 24 = 0, -5*p = -0*p + 20. Let -38/7*j**g - 2*j**5 - 30/7*j**3 + 0 + u*j - 2/7*j**2 = 0. What is j?
-1, 0, 2/7
Let z = 7 - 20/3. Let i(j) = j**3 - 12*j**2 + 10*j + 13. Let d be i(11). Factor -z*w + 1/3 - 2/3*w**d.
-(w + 1)*(2*w - 1)/3
Let q(k) be the third derivative of 0*k**4 + 1/60*k**6 + 0*k**3 + 1/90*k**5 + 0 + 0*k + 2/315*k**7 - k**2. Factor q(p).
2*p**2*(p + 1)*(2*p + 1)/3
Let j(r) = 5*r**3 + 10*r**2 + 6*r + 1. Let d(v) = v**3 + 2*v**2 + v. Let c(q) = -11*d(q) + 2*j(q). Let o be c(-2). Solve o - 1/2*k**3 + 1/2*k + 0*k**2 = 0.
-1, 0, 1
Let a(f) be the first derivative of 5*f**2 + 2*f**5 + 6 + 2*f + 20/3*f**3 + 1/3*f**6 + 5*f**4. Factor a(v).
2*(v + 1)**5
Let v(a) be the third derivative of -a**5/36 + 5*a**4/72 + 56*a**2. Factor v(s).
-5*s*(s - 1)/3
Let m be 14/(-63)*(-50658)/4. Let x = m - 2790. What is v in -8*v - 7*v**4 + 17/3*v**2 - 49/3*v**5 + 4/3 + x*v**3 = 0?
-1, 2/7, 1
Let y(z) be the third derivative of 5*z**8/112 + 5*z**7/42 - 5*z**6/12 - 5*z**5/3 - 5*z**4/3 - z**2 + 1. Determine r so that y(r) = 0.
-2, -1, -2/3, 0, 2
Suppose z - 140 = -4*z. Factor -z*d - 8*d**3 - 8 + 4*d**4 + 4*d**4 + 9*d**5 - 32*d**2 - 5*d**5.
4*(d - 2)*(d + 1)**4
Let c = 9 - 4. Suppose 5*g - 15 = c. Find w such that 0 + 0*w**g - 1/5*w + 2/5*w**3 + 0*w**2 - 1/5*w**5 = 0.
-1, 0, 1
Let i(q) be the first derivative of q**3 + 3*q**2 - 9*q - 6. Solve i(u) = 0.
-3, 1
Let b(l) = -l + 11. Let z be b(6). Suppose 5*f - 35 = -z*n + 2*n, -2*f = -n - 3. Factor -10/7*s**3 - 2/7*s**f - 8/7*s + 0 - 16/7*s**2.
-2*s*(s + 1)*(s + 2)**2/7
Let 27*p + 8*p**2 + 8*p**4 + 12*p**3 + 5*p**5 - 25*p - 3*p**5 = 0. What is p?
-1, 0
Let s = -7/59 + 445/767. Suppose 0 + 0*z + 2/13*z**2 - 8/13*z**4 + s*z**3 = 0. What is z?
-1/4, 0, 1
Let o be ((-3)/(-9))/((-4)/(-24)). Factor -7*d + 7*d - 6*d**o + 2*d**2.
-4*d**2
Let f be -6*(-8)/6 + -2. Let p = -3 + f. Find c, given that 1 - 2*c**2 + 0*c + 5*c**2 + c**p + 3*c = 0.
-1
Let o be -1 + (-8)/4*1/(-2). Solve 1/4*k**3 - 1/4*k**5 + o*k + 0*k**2 + 0 + 0*k**4 = 0 for k.
-1, 0, 1
Let b(r) be the second derivative of r + 1/8*r**3 + 0 + 0*r**2 - 1/16*r**4. Factor b(y).
-3*y*(y - 1)/4
What is d in 8*d**2 + 75*d**5 - 12*d**4 - 71*d**5 - 12*d + 6 - 2 + 8*d**3 = 0?
-1, 1
Suppose 0*a + 5*a = 2*n - 70, 3*a + 126 = 4*n. Let s = -28 + n. Determine j, given that 3/2*j + 1/2*j**3 - 1/2 - 3/2*j**s = 0.
1
Let l(c) = c**3 + 6*c**2 + 5*c + 32. Let w be l(-6). What is h in 15/4*h + 3/4*h**3 + 3*h**w + 3/2 = 0?
-2, -1
Factor 12/5 + 14/5*m + 2/5*m**2.
2*(m + 1)*(m + 6)/5
Let p(l) be the third derivative of -l**8/60480 + l**7/15120 + l**6/1080 + l**5/60 + 3*l**2. Let v(g) be the third derivative of p(g). Factor v(a).
-(a - 2)*(a + 1)/3
Let x be 9/30*10/18. Let q(s) be the first derivative of 0*s - 2/9*s**3 - x*s**4 + 2 + 0*s**2. Let q(g) = 0. What is g?
-1, 0
Let x be (-182)/(-49) + 4/14. Let n(p) be the third derivative of -2*p**2 + 0*p**3 + 1/12*p**x + 0 - 1/6*p**5 + 0*p + 1/15*p**6. Factor n(q).
2*q*(q - 1)*(4*q - 1)
Let h(a) be the first derivative of -a**5/210 - a**4/14 - 3*a**3/7 + 5*a**2/2 - 2. Let t(z) be the second derivative of h(z). Factor t(d).
-2*(d + 3)**2/7
Let w(n) be the third derivative of -n**8/15680 - n**7/5880 + n**6/840 - n**4/8 - 3*n**2. Let v(i) be the second derivative of w(i). Factor v(o).
-3*o*(o - 1)*(o + 2)/7
Determine s, given that -3/5*s + 2/5 + 1/5*s**2 = 0.
1, 2
Let c be 3*(10/3)/2. Let t(k) be the second derivative of -1/18*k**3 + 0*k**2 + 0*k**4 + 1/60*k**c + 0 - 2*k. Factor t(x).
x*(x - 1)*(x + 1)/3
Let i(w) be the second derivative of 3*w**5/20 - w**4/4 - w**3 - 17*w. Suppose i(p) = 0. What is p?
-1, 0, 2
Let h(r) be the first derivative of -r**4/48 - r**3/24 + 5*r + 9. Let w(k) be the first derivative of h(k). Factor w(m).
-m*(m + 1)/4
Let y(c) be the third derivative of c**6/360 + c**5/30 + c**4/8 - 3*c**2. Find r, given that y(r) = 0.
-3, 0
Suppose -v - 5*d + 6 = 0, -v - d + 6 = 2*d. Suppose -t + v*t = 0. Let -3*a**2 + 15/4*a**3 - 3/2*a**4 + t + 3/4*a = 0. What is a?
0, 1/2, 1
Let b(i) = 9*i**5 - i**4 - 7*i**3 + 25*i**2 + 7*i + 11. Let k(x) = 5*x**5 - x**4 - 3*x**3 + 13*x**2 + 4*x + 6. Let o(f) = 6*b(f) - 11*k(f). Factor o(y).
-y*(y - 2)*(y - 1)**3
Factor 2/5*h**2 + 6/5*h + 2/3 - 2/15*h**3.
-2*(h - 5)*(h + 1)**2/15
Suppose q - q**2 + 1/3*q**3 - 1/3 = 0. What is q?
1
Let f be (-6)/(-2) - (-6)/2. Let b(k) = -2*k + 12. Let h be b(f). Suppose 2*r**5 + 4/5*r**3 + 0*r + 0 + h*r**2 + 14/5*r**4 = 0. What is r?
-1, -2/5, 0
Let x(j) = -4*j**4 + 9*j**2 - 17*j + 15*j - 5*j**4 + 9*j**3. Let v(h) = -8*h**4 + 8*h**3 + 8*h**2 - 2*h. Let b(q) = -7*v(q) + 6*x(q). Factor b(l).
2*l*(l - 1)**2*(l + 1)
Let g be -1 + 1 + (-12)/(-16). Factor 3*i**2 + g*i**4 + 3*i**3 + 0*i + 0.
3*i**2*(i + 2)**2/4
Let n(g) = -2*g - 4. Let a be n(-4). Factor -5*u**5 + a*u**5 - 2*u**4 + 4*u**4 - u**3.
-u**3*(u - 1)**2
Let u(n) be the first derivative of n**4/3 + 4*n**3/3 + 4*n**2/3 - 6. Factor u(b).
4*b*(b + 1)*(b + 2)/3
Let a(i) be the first derivative of 0*i - 1/10*i**4 + 3 - 2/15*i**3 + 0*i**2. Solve a(l) = 0.
-1, 0
Suppose -4*r - 2 = 22. Let h = 8 + r. Factor -2*m**4 + 2*m + 6*m**3 + 2*m**5 - 6*m**4 - 8*m**h + 6*m**3.
2*m*(m - 1)**4
Let r(u) be the first derivative of u**5 + 25*u**4/4 + 40*u**3/3 + 10*u**2 - 14. Factor r(q).
5*q*(q + 1)*(q + 2)**2
Let g(w) = 7*w**5 - 36*w**4 + 24*w**3 + 19*w**2 - 3. Let u(s) = 36*s**5 - 180*s**4 + 120*s**3 + 94*s**2 - 14. Let b(p) = -14*g(p) + 3*u(p). Factor b(i).
2*i**2*(i - 2)**2*(5*i + 2)
Let o = -42 + 42. Let -w**4 + 0 + 1/2*w**5 - 1/2*w + o*w**3 + w**2 = 0. What is w?
-1, 0, 1
Let s = 18 + 6. Let h be (-8)/s + (-1)/(-3). Find k, given that 2/9*k**3 + 2/9*k + 4/9*k**2 + h = 0.
-1, 0
Let g be (95 - -1)*(-1)/2. Let n = g - -242/5. Factor 2/5*q**2 - 2/5*q - n + 2/5*q**3.
2*(q - 1)*(q + 1)