 n(-8). Let k(q) be the first derivative of -h*q - 3*q**2 + 1 - 2/3*q**3. Factor k(r).
-2*(r + 1)*(r + 2)
Let r(s) be the first derivative of s**6/16 + 3*s**5/20 - s**3/4 - 3*s**2/16 + 24. Factor r(n).
3*n*(n - 1)*(n + 1)**3/8
What is w in 192*w + 6*w**3 + 2*w**2 - 512 + 12*w**3 - 17*w**3 - 26*w**2 = 0?
8
Let j(p) be the third derivative of p**8/84 - 4*p**7/35 + 2*p**6/15 + 2*p**5/5 - 5*p**4/6 + 9*p**2. Find y such that j(y) = 0.
-1, 0, 1, 5
Suppose 36 - 93 = 3*r. Let f = r - -59/3. Factor 0 + 2/9*p - f*p**2.
-2*p*(3*p - 1)/9
Let b = 15 - 15. Suppose -i + j = -7, 4*i + 3*j = -b - 7. Find z, given that 2/3*z**3 - 4/3*z + 0 - 2/3*z**i = 0.
-1, 0, 2
Let l(j) = -2*j - 18. Let m be l(-10). Factor 1/3*w**m + w + 2/3.
(w + 1)*(w + 2)/3
Suppose -4*y + y = 0. Let m be (y - -8)/(-1 + 3). Factor 1/6*j**5 + 5/3*j**3 + 1/6 + 5/3*j**2 + 5/6*j + 5/6*j**m.
(j + 1)**5/6
Let h = 61129997/26845350 + 2/76701. Let p = h - -3/350. Solve -232/7*i - 1324/7*i**2 - p - 392*i**5 - 728*i**4 - 530*i**3 = 0.
-1/2, -2/7
Let w be (-50)/400 + 2/16. Factor 0 + w*r - 1/4*r**2.
-r**2/4
Let p(k) be the second derivative of 0 + 6*k - 1/24*k**4 + 5/12*k**3 - 1/40*k**5 - 3/4*k**2. Suppose p(m) = 0. Calculate m.
-3, 1
Let 238/3*s**4 - 86*s**3 + 160/3*s - 8 + 98/3*s**5 - 214/3*s**2 = 0. Calculate s.
-3, -1, 2/7, 1
Let i(j) be the first derivative of j**3 - 4 + j**2 - 3/4*j**4 + 0*j - 7/5*j**5 - 1/2*j**6. Factor i(a).
-a*(a + 1)**3*(3*a - 2)
Factor -9*q - 5*q**3 - 4*q**2 + 13*q**2 + 2*q**3 + 2 + 1.
-3*(q - 1)**3
Let d(k) be the second derivative of -75*k**5/8 - 75*k**4/4 - 15*k**3 - 6*k**2 - 14*k. Factor d(j).
-3*(5*j + 2)**3/2
Let k(g) be the first derivative of 3 + 1/12*g**3 + 4/5*g**5 + 3/2*g**4 + 1/4*g - 3/4*g**2. Find v such that k(v) = 0.
-1, 1/4
Suppose 2*i + c = -11 - 2, -3*i - 4*c - 22 = 0. Let r be (-3)/9 - 14/i. Factor -10*b**4 + 18*b**3 - b - 3*b - 2*b**r - 2*b**3.
-2*b*(b - 1)**2*(5*b + 2)
Suppose 5*f - 10 = -0. Let -4*y + y**3 + 3*y**3 - 12*y**4 + f*y**2 + 15*y**3 - 5*y**3 = 0. What is y?
-1/2, 0, 2/3, 1
Let w(k) be the first derivative of -k**6/6 + k**5/5 + k**4/2 - 2*k**3/3 - k**2/2 + k + 16. Factor w(a).
-(a - 1)**3*(a + 1)**2
Let y = 395/68 - 86/17. Factor 0 + 0*q - y*q**5 + 3/4*q**4 - 3/4*q**2 + 3/4*q**3.
-3*q**2*(q - 1)**2*(q + 1)/4
Let c(f) be the third derivative of 3*f**2 + 0*f + 13/144*f**4 + 1/18*f**3 + 0 + 5/72*f**5 + 7/360*f**6. Find h such that c(h) = 0.
-1, -1/2, -2/7
Let y = 8 - -2. Factor y*c**2 + 2/5 + 4*c.
2*(5*c + 1)**2/5
Let w be ((-4)/(-10))/((-11)/(-55)). Suppose n + 0 = 2. Factor -2 - l**w + l + 2*l**2 + 2*l - 2*l**n.
-(l - 2)*(l - 1)
Let h be 9 + 11 + (-112)/7. Factor 0*i + 0*i**h + 0*i**2 + 0 - 2/7*i**5 + 2/7*i**3.
-2*i**3*(i - 1)*(i + 1)/7
Let y(q) = -q**2 - 5*q + 1. Let w(z) = z**2 + 1. Let j(m) = -2*w(m) - y(m). Let f be j(2). What is u in -2*u - 2*u**2 - 2*u**f + u**2 + 1 + 4*u**3 = 0?
-1, 1/2, 1
Let i(k) be the first derivative of -k**4/6 - 8*k**3/9 - 5*k**2/3 - 4*k/3 + 7. Find t, given that i(t) = 0.
-2, -1
Let z = 50/9 - 16/3. Factor -2/9*p - 4/9 + z*p**2.
2*(p - 2)*(p + 1)/9
Suppose -4*m = -5*f + 27, -13 + 58 = 5*f + 5*m. Let n(o) = o**2 - 7*o + 2. Let r be n(f). What is t in -19*t + r*t + 14*t**2 - 7*t - 8 = 0?
-2/7, 2
Let z(v) be the first derivative of -v**3/9 + v**2/3 - v/3 + 7. Solve z(c) = 0.
1
Let g(h) = -h**2 - 12*h - 20. Let a be g(-10). Let l(t) be the second derivative of -1/70*t**5 + a + 0*t**2 + 1/21*t**4 - 1/21*t**3 - t. Factor l(y).
-2*y*(y - 1)**2/7
Let w(q) be the first derivative of -3*q - 6*q**2 - 7/4*q**3 + 3. Factor w(s).
-3*(s + 2)*(7*s + 2)/4
Let p(y) be the second derivative of 1/60*y**5 - 1/18*y**3 - 1/36*y**6 + 0 + 5/72*y**4 + 0*y**2 - 6*y. Factor p(r).
-r*(r - 1)*(r + 1)*(5*r - 2)/6
Determine d, given that 4/3*d**4 - 2/3*d**2 + 1/3*d**5 - 5/3*d - 2/3 + 4/3*d**3 = 0.
-2, -1, 1
Suppose -5*w + 18 = -n, n - 5*n = w + 9. Factor -f**4 - f**2 + f**2 - w*f + 3*f**2 + 2 - 2*f + f**3.
-(f - 1)**3*(f + 2)
Let t be (-3 + 3)/(-3 + 1). Let o be (t/1)/(-2 - 1). Factor o*y - 2/7*y**2 - 30/7*y**4 + 18/7*y**5 + 0 + 2*y**3.
2*y**2*(y - 1)*(3*y - 1)**2/7
Determine i, given that 1/6*i + 1/6*i**2 - 1/6*i**4 + 0 - 1/6*i**3 = 0.
-1, 0, 1
Let k be ((-510)/1224)/(10/(-16)). Solve -2*s**2 + 0*s**3 + k*s**4 + 4/3*s + 0 = 0 for s.
-2, 0, 1
Let c(x) be the third derivative of -x**6/210 - 2*x**5/7 - 50*x**4/7 - 2000*x**3/21 + 11*x**2. Solve c(l) = 0.
-10
Let u(r) be the first derivative of r**9/1512 + r**8/420 - r**6/90 - r**5/60 + 2*r**3/3 - 3. Let x(k) be the third derivative of u(k). Factor x(j).
2*j*(j - 1)*(j + 1)**3
Let i(z) = 9*z**3 + z**2 - 9*z - 1. Let f(r) = -4*r**3 + 4*r. Let o be 0/(-1 - (-1 + -2)). Suppose o*v = 5*v + 25. Let q(p) = v*f(p) - 2*i(p). Factor q(m).
2*(m - 1)**2*(m + 1)
Let g = -24 + 122/5. Factor -4/5*t + 0 + g*t**2.
2*t*(t - 2)/5
Let o(n) be the first derivative of n**6/3 - 4*n**5/5 + 4*n**3/3 - n**2 + 60. Factor o(w).
2*w*(w - 1)**3*(w + 1)
Let q be (0 - 2)*45/(-30). Let s(d) be the third derivative of 1/140*d**6 + 0*d - 2/21*d**q + 2/105*d**5 - 1/84*d**4 - d**2 + 0. Factor s(r).
2*(r + 1)**2*(3*r - 2)/7
Factor 4*l + 4/3 + 5/3*l**2.
(l + 2)*(5*l + 2)/3
Let k(g) = 3*g**5 + 42*g**4 - 60*g**3 - 246*g**2 - 153*g. Let z(a) = -2*a**5 - 41*a**4 + 61*a**3 + 247*a**2 + 152*a. Let y(f) = -5*k(f) - 6*z(f). Factor y(h).
-3*h*(h - 7)**2*(h + 1)**2
Let 52/15*s**3 + 0 - 2/15*s**4 - 338/15*s**2 + 0*s = 0. Calculate s.
0, 13
Let k(d) = 3*d**3 - 5*d**2 - 7*d - 7. Let v(z) = -19*z**3 + 31*z**2 + 41*z + 43. Let f(c) = 39*k(c) + 6*v(c). Solve f(j) = 0 for j.
-1, 5
Factor -6/7*x**2 - 4/7 - 2*x.
-2*(x + 2)*(3*x + 1)/7
Let k(l) be the first derivative of l**9/1512 - l**8/420 + l**7/420 - l**3 - 2. Let i(s) be the third derivative of k(s). Factor i(b).
2*b**3*(b - 1)**2
Suppose 5*k = 12 - 2. Find h, given that 3 - 25/2*h**k + 5/2*h = 0.
-2/5, 3/5
Let d(c) be the first derivative of -c**4 + 4*c**3 + 15. Factor d(t).
-4*t**2*(t - 3)
Factor 3*b - 2 + b**3 - 2*b**2 + 3*b + 4*b**4 - 7*b**3.
2*(b - 1)**2*(b + 1)*(2*b - 1)
Let z(y) = y - 1. Let v(d) = -2*d**2 + 3*d - 1. Let l = -3 + 0. Let a = l + 6. Let w(h) = a*z(h) - v(h). Find g, given that w(g) = 0.
-1, 1
Let t be 0/((-2)/4*-2). Let u be 18/90 - (t - 1). Factor u*h**4 - 2/5 - 2/5*h**5 - 4/5*h**2 - 4/5*h**3 + 6/5*h.
-2*(h - 1)**4*(h + 1)/5
Let v(w) be the third derivative of 1/6*w**4 + w**2 - 1/3*w**3 - 1/30*w**5 + 0 + 0*w. Solve v(z) = 0.
1
Let q be -1*(30/(-33))/5. Suppose 2/11 - 2/11*f**2 + 2/11*f - q*f**3 = 0. Calculate f.
-1, 1
Let h(m) be the second derivative of -m**6/65 - m**5/65 + m**4/26 + 2*m**3/39 + 11*m. Solve h(r) = 0 for r.
-1, -2/3, 0, 1
Factor -2 + 8*k + 3*k**3 - 2*k**4 - 12*k**2 + 3*k**3 + 2*k**3.
-2*(k - 1)**4
Let r be (5/((-75)/12))/(-4). Factor 0 + r*x**2 + 1/5*x.
x*(x + 1)/5
Suppose -3*i + 40 = 2*i + 4*x, -24 = -i - 4*x. Factor -2*g - g**4 + 2*g**4 + 2*g**3 + 0*g**i - 1.
(g - 1)*(g + 1)**3
Let j be 1/2 + (-27)/(-18). Let l(u) be the second derivative of -1/45*u**6 + 0 - 1/60*u**5 + 1/18*u**3 + 1/18*u**4 + j*u + 0*u**2. Factor l(q).
-q*(q - 1)*(q + 1)*(2*q + 1)/3
Let c be (18/21)/((-515)/70 - -8). Factor -16/9 - 2/9*a**3 - 8/3*a - c*a**2.
-2*(a + 2)**3/9
Suppose 16*j + 5*j = -10*j. Factor -2/3*z**4 + 0 + 0*z**3 + j*z**2 + 0*z + 8/3*z**5.
2*z**4*(4*z - 1)/3
Let x(v) = -2*v - 4*v + v**2 - 2*v**2 + 3. Let m be x(-6). Factor -3 + p**4 + 3*p**m - 2*p + 2 - p**3.
(p - 1)*(p + 1)**3
Let t(v) be the second derivative of -v**7/42 + v**6/30 + v**5/10 - v**4/6 - v**3/6 + v**2/2 + 2*v. Factor t(d).
-(d - 1)**3*(d + 1)**2
Let y(j) be the third derivative of 0*j**5 + 0*j**4 - 1/210*j**7 - 2*j**2 + 0 + 1/120*j**6 + 0*j + 0*j**3. Factor y(t).
-t**3*(t - 1)
Let i(a) = -2*a**3 + 2*a**2 + a. Let y be (2 - 1)/(1/(-1)). Let x be i(y). Factor 5*k**4 + 2*k**2 - k**4 - k**x + k - 6*k**2.
k*(k - 1)*(k + 1)*(4*k - 1)
What is c in 8/7*c - 2/7*c**2 - 6/7 = 0?
1, 3
Factor 0*t - 4/9*t**2 + 0 - 2/9*t**3.
-2*t**2*(t + 2)/9
Let -16/5*k - 8/5 - 2/5*k**3 - 2*k**2 = 0. Calculate k.
-2, -1
Let n(f) = 5*f**3 - f**2 - 5*f - 2. Let y(v) = 6*v**3 - 2*v**2 - 6*v - 2. Let a(w) = 4*n(w) - 3*y(w). Let a(t) = 0. Calculate t.
-1, 1
Let z(f) be the second derivative of 3*f + 5/4*f**6 + 0 + 0*f**2 + 3/8*f**5 - 2*f**4 + f**3. Factor z(s).
3*s*(s + 1)*(5*s - 2)**2/2
Factor -9/4*r**3 - 3/8*r**4 + 0 - 27/8*r**2 - 3/2*