**3 = 0. Calculate t.
-1, 0, 1/4, 1
Let x = 4 - -1. Let r(d) = 11*d**4 - 8*d**3 + 2*d**2 + 5. Let a(w) = -10*w**4 + 8*w**3 - 2*w**2 - 4. Let p(f) = x*a(f) + 4*r(f). Factor p(q).
-2*q**2*(q - 1)*(3*q - 1)
Let k(j) be the second derivative of -j**3/6 - 2*j**2 + 3*j. Let w be k(-6). Suppose 1/3*c**w - 1/3 + 0*c = 0. What is c?
-1, 1
Let c(j) be the second derivative of -j**8/1176 - j**7/245 - j**6/140 - j**5/210 - 2*j**2 + 3*j. Let a(h) be the first derivative of c(h). Factor a(f).
-2*f**2*(f + 1)**3/7
Let b = 3 + -2. Factor 20*j**2 + 1 + 12*j**4 + 26*j**3 + 8*j - b + 2*j**5 + 4*j**2.
2*j*(j + 1)**2*(j + 2)**2
Let y be (-2)/4 - (-10)/4. Solve -a**y - 7*a**5 + 167*a**4 - 165*a**4 + 7*a**3 - a**2 = 0 for a.
-1, 0, 2/7, 1
Suppose 58*x = 61*x - 4*g - 28, 0 = 4*x + 4*g. Factor -1/6*u**3 + 1/6*u + 1/3 + 1/2*u**x - 5/6*u**2.
(u - 1)**2*(u + 1)*(3*u + 2)/6
Factor 4/7*w**5 - 120/7*w**4 - 4000/7*w**2 + 0*w + 1200/7*w**3 + 0.
4*w**2*(w - 10)**3/7
Suppose 4*z - 6 = z. Let a(d) be the first derivative of -2/3*d**3 - d**z - 1 + 0*d. Factor a(y).
-2*y*(y + 1)
Let o(u) be the third derivative of -u**5/80 + u**4/32 + u**3/4 - 6*u**2. Solve o(d) = 0.
-1, 2
Let h be -1*(-4)/(4/(-1)). Let n be (17/(-51))/(h/6). Determine u, given that 8/3*u - 10/9*u**n - 8/9 = 0.
2/5, 2
Suppose -4*z + 3*l = -47, -2*l + 5*l = -5*z + 25. Solve 8*c - 2*c**3 - 2*c**4 - z*c = 0.
-1, 0
Let o(f) be the first derivative of -2/3*f + 2/3*f**2 - 2/9*f**3 - 1. Let o(u) = 0. Calculate u.
1
Suppose 5 = f + 3. Let o(c) be the second derivative of 0 - 2*c + 0*c**4 + 0*c**f + 1/90*c**5 - 1/27*c**3. Suppose o(k) = 0. What is k?
-1, 0, 1
Let u be -5 + ((-1)/4)/((-63)/1428). Solve u*p + 2/3 + 1/6*p**2 = 0.
-2
Factor 3/2*m**5 + 5/2*m**4 - 2 - 7/2*m**3 - 8*m - 21/2*m**2.
(m - 2)*(m + 1)**3*(3*m + 2)/2
Let p be 2*(-2)/4*12. Let z = p + 25/2. Factor 1/2*t**3 - 1/2*t + z*t**4 - 3/2*t**2 + 1.
(t - 1)**2*(t + 1)*(t + 2)/2
Suppose -n = 3*i - 9, -2*n - 3*i + 9 + 0 = 0. Let m be 4 - (1 + 1 + 0). Determine b, given that b + n + 0*b**2 + 0 - b**m = 0.
0, 1
Let g be (-5 - 132/(-27))/((-1)/12). What is i in 0 - 4/3*i**2 + 1/3*i**5 - g*i**4 + 2*i**3 + 1/3*i = 0?
0, 1
Let f(h) = -4*h**5 - 3*h**3 + 3*h**2 - 3*h. Let p(n) = -n**5 - n**3 + n**2 - n. Let b(g) = 2*f(g) - 6*p(g). What is o in b(o) = 0?
0
Let d(l) = 2*l - 10. Let x be d(8). Suppose h + 0 - x = 0. Solve j + 11/2*j**2 + h*j**3 + 0 = 0 for j.
-2/3, -1/4, 0
Let t(y) be the third derivative of y**6/1080 - y**5/180 + y**4/72 - y**3/3 + 2*y**2. Let w(m) be the first derivative of t(m). Factor w(p).
(p - 1)**2/3
Let u = -2 + 1. Let b = 1 - u. Factor 1 + 3 - 2 + 4*z + b*z**2.
2*(z + 1)**2
Let x(z) = z**2 - 2*z - 3. Let p be x(4). Find d, given that 2*d**2 - 3*d**4 + d**p - 3*d - 1 + 2*d**3 + 2 + 0 = 0.
-1, 1
Let p(g) = g**3 - 12*g**2 + 3*g - 34. Let i be p(12). Let l(t) be the second derivative of 0 - i*t + 0*t**2 + 0*t**3 - 1/60*t**4. Let l(w) = 0. Calculate w.
0
Let z = 621/10 + -62. Let r(o) be the second derivative of -z*o**5 + 1/2*o**4 - o**3 + 0 - 2*o + o**2. Let r(t) = 0. What is t?
1
Suppose 0 = 4*y + q + 5, -9 = 2*y + 4*q + 11. Determine x, given that -x + 5/2*x**2 + y = 0.
0, 2/5
Suppose 0*q**2 - 2/5*q**5 - 2/5*q + 0*q**4 + 4/5*q**3 + 0 = 0. Calculate q.
-1, 0, 1
Let j be 102/165 - (-2)/11. Determine k, given that 2/5*k**2 - 2/5*k**4 - 4/5*k**3 + j*k + 0 = 0.
-2, -1, 0, 1
Let f be ((-6)/10)/(22/(-110)). Factor 1/2*d**f + 1/2*d**2 - 1/4*d - 1/4*d**5 - 1/4 - 1/4*d**4.
-(d - 1)**2*(d + 1)**3/4
Let w(n) be the second derivative of n**5/60 - n**4/9 - 7*n**3/18 + 5*n**2/3 + 14*n - 1. Factor w(s).
(s - 5)*(s - 1)*(s + 2)/3
Factor 5*r**3 + 17 + 20*r - 20*r**2 - 17.
5*r*(r - 2)**2
Let d(v) be the first derivative of v**5/5 - 3*v**4/2 + 13*v**3/3 - 6*v**2 + 4*v - 1. Factor d(t).
(t - 2)**2*(t - 1)**2
Let i(m) be the first derivative of -m**5 - 5*m**4/4 + 5*m**3/3 + 5*m**2/2 + 26. Solve i(l) = 0 for l.
-1, 0, 1
Determine p, given that 15 + 2*p + p + 3*p - 20*p**2 - p = 0.
-3/4, 1
Let z be 3196/192 + (-4)/3. Let n(o) be the first derivative of -119/6*o**3 - 19/2*o**2 - z*o**4 + 2 - 2*o. Factor n(l).
-(5*l + 2)*(7*l + 2)**2/4
Let o be (-7 - -5)*(-254)/6. Let n = o - 82. Factor 8/3*t**3 - 2/3*t**2 + 2/3 - n*t.
2*(t - 1)*(t + 1)*(4*t - 1)/3
Let m(f) be the third derivative of f**5/5 - 9*f**4/8 - 13*f**3/2 - 4*f**2. Let q(y) = -3*y**2 + 7*y + 10. Let r(c) = -4*m(c) - 15*q(c). What is u in r(u) = 0?
-1, 2
Factor -9*v - 3*v**5 + 12*v**3 + 3 - 9 + 266*v**2 - 260*v**2.
-3*(v - 2)*(v - 1)*(v + 1)**3
Let w(v) be the first derivative of 2*v**2 + 2 - v**4 + 1/5*v**5 - 4*v + v**3. Factor w(j).
(j - 2)**2*(j - 1)*(j + 1)
Suppose 0 = -5*g + g + 24. Let j = g - 2. Determine l so that l - 3*l + j*l - 1 - l**2 = 0.
1
Let g(d) be the second derivative of -3*d**5/20 + d**4/4 + d**3 + 11*d. Suppose g(n) = 0. Calculate n.
-1, 0, 2
Let b = 1/134 - -125/1206. Let q(k) be the first derivative of -1/3*k**2 - b*k**3 - 1/3*k - 1. Factor q(n).
-(n + 1)**2/3
Find c, given that 0*c - 6*c**2 + 2*c**2 - 2*c - 2*c = 0.
-1, 0
Let q be (-2)/(-8) + 91/420. Let f = 1/5 + q. Solve -2/3*m**3 + 2/3*m - 2/3 + f*m**2 = 0 for m.
-1, 1
Suppose 4*i = 10 + 6. Let p = 56 + -278/5. Factor 0 + 6/5*s**3 + p*s - 2/5*s**i - 6/5*s**2.
-2*s*(s - 1)**3/5
Let m(v) be the first derivative of -1/10*v**4 + 2/15*v**3 + 3/10*v**2 - 3/25*v**5 - 1/30*v**6 - 3 + 1/5*v. Factor m(t).
-(t - 1)*(t + 1)**4/5
Let t = -16 + 28. Find s such that t*s + 2*s - s**2 - 23*s + 10*s = 0.
0, 1
Let j = 10 + 10. Suppose -3*p + 8*p = j. Factor -2*h**p + h**5 - 2 + 0 + 2*h - 4*h**3 + h**5 + 4*h**2.
2*(h - 1)**3*(h + 1)**2
Let l(g) = -g**3 + 5*g**2 - g + 5. Let d be l(5). Suppose 2 = f - 5*p - 5, f + 2*p = d. What is m in -2*m**2 + 2*m**3 - f*m + m**3 - m**3 + 2*m**4 = 0?
-1, 0, 1
Suppose -40 = m + m. Let f be 1/(3 - (-56)/m). Solve 2/3*z**f + 1/3*z**2 + 0 - 2*z**3 + 2/3*z + 1/3*z**4 = 0.
-2, -1/2, 0, 1
Let h(g) = -g**3 - 7*g**2 - 7*g - 8. Let d be h(-6). Let j = 0 - d. Factor -5*w**j - 3*w + 1 - 1 + 8*w**2.
3*w*(w - 1)
Let v(y) = 55*y**2 - 385*y + 375. Let g(i) = -5*i**2 + 35*i - 34. Let w(s) = -45*g(s) - 4*v(s). Solve w(m) = 0 for m.
1, 6
Let r(n) = n**4 + n**3 + n + 1. Suppose t + 4 = 1. Let z(l) = 7*l**4 + 12*l**3 + 2*l**2 - 4*l - 1. Let h(o) = t*z(o) + 24*r(o). Factor h(x).
3*(x - 3)**2*(x + 1)**2
Let s be ((-12)/10)/((-2)/5). Let 2*z + 3*z**2 - s*z**2 + z**2 + 1 = 0. What is z?
-1
Let o = 13/10 - -1/30. Find y, given that -2/3*y**2 - o + 2*y = 0.
1, 2
Let c(s) be the first derivative of s**5/30 - s**4/3 + 11*s**3/9 - 2*s**2 + 3*s/2 + 12. Let c(x) = 0. Calculate x.
1, 3
Factor -185*f + 162*f**2 + 972*f**5 + 198*f**2 - 42 - 1296*f**4 + 10 + 137*f + 108*f**3.
4*(3*f - 2)**3*(3*f + 1)**2
Let f = -48 - -32. Let r = 16 + f. Factor -1/3*a**2 + r + 0*a - 1/3*a**3.
-a**2*(a + 1)/3
Let o = 58 - 40. Factor 6*d**2 + 18 - 2/3*d**3 - o*d.
-2*(d - 3)**3/3
Let w(l) be the first derivative of -4*l**3/3 + 4*l**2 - 4*l - 14. Find z, given that w(z) = 0.
1
Suppose 2*z = -0*z + 8. Let l(x) be the first derivative of 1 + 49/3*x**3 - 14*x**2 + z*x. Factor l(y).
(7*y - 2)**2
Let c(l) be the third derivative of -l**6/50 - 9*l**5/100 - l**4/20 - 2*l**2. Determine m so that c(m) = 0.
-2, -1/4, 0
Factor -14/5*t**3 + 0 + 4/5*t**4 + 8/5*t + 8/5*t**2.
2*t*(t - 2)**2*(2*t + 1)/5
Let g(t) be the second derivative of -t**4/12 - t**3/3 + 3*t**2/2 + 23*t. Let g(b) = 0. What is b?
-3, 1
Solve 1/2*n**3 + 0 + 1/4*n**4 + 0*n + 0*n**2 - 1/4*n**5 = 0.
-1, 0, 2
Let j(x) = -10*x**2 + 17*x - 4. Let o(z) = -z**2 + 8*z + 1. Let d be o(7). Let m be 1/4 + 6/d. Let t(c) = -c. Let q(g) = m*j(g) + 3*t(g). Factor q(s).
-2*(s - 1)*(5*s - 2)
Let r(m) be the first derivative of m**6/3 + 8*m**5/5 + 2*m**4 - 4*m**3/3 - 5*m**2 - 4*m + 4. Suppose r(y) = 0. Calculate y.
-2, -1, 1
Let h(s) be the third derivative of s**5/240 + 5*s**4/96 + s**3/6 - 18*s**2. Factor h(m).
(m + 1)*(m + 4)/4
Let l(t) = -2*t + 2. Let x be l(1). Let i(a) be the second derivative of -4*a + 1/70*a**5 + 0 + 1/21*a**3 + 1/21*a**4 + x*a**2. Factor i(p).
2*p*(p + 1)**2/7
Let 3*q + 3/2*q**4 - 3*q**3 - 3/2 + 0*q**2 = 0. Calculate q.
-1, 1
What is m in 2/5*m + 0 + 2/5*m**2 = 0?
-1, 0
Let k = 658 - 656. Suppose 2/3 - 11/3*d**k - 3*d = 0. What is d?
-1, 2/11
Let j(i) be the second derivative of i**5/5 + i**4/3 + 11*i. Suppose j(o) = 0. W