p) = -p**2 - 5*p - 4. Let m be i(-3). Let -j - m*j**2 + 0*j**2 - j + 5*j - 1 = 0. Calculate j.
1/2, 1
Let o(z) be the first derivative of -1/6*z**3 + 8 + 0*z**2 + 0*z + 1/8*z**4. Suppose o(c) = 0. What is c?
0, 1
Let g(r) be the third derivative of -r**8/1176 + 4*r**7/735 - r**6/84 + r**5/105 - 35*r**2. Factor g(l).
-2*l**2*(l - 2)*(l - 1)**2/7
Let p(h) = 504*h**3 - 604*h**2 + 236*h - 36. Let t(n) = -505*n**3 + 605*n**2 - 235*n + 37. Let k(y) = 5*p(y) + 4*t(y). Determine u, given that k(u) = 0.
2/5
Let a be ((-1)/(-2))/((-8)/64). Let c(h) = h**3 - h + 1. Let l(q) = 4*q**5 - 8*q**3 + 4*q - 4. Let p(f) = a*c(f) - l(f). Let p(t) = 0. Calculate t.
-1, 0, 1
Let q(z) be the third derivative of z**6/360 + 13*z**5/180 + 2*z**4/3 + 2*z**3 - 4*z**2. Let q(a) = 0. Calculate a.
-6, -1
Factor -b**2 - 3*b**3 + 8*b**2 - b**3 - 4*b**4 + b**2.
-4*b**2*(b - 1)*(b + 2)
Let m = 157/14 + -47/7. Factor 9/2 + 1/2*a**5 + 23*a**2 + 15*a**3 + m*a**4 + 33/2*a.
(a + 1)**3*(a + 3)**2/2
Suppose 2*n - 99 = -3*f, -n - 218 + 53 = -5*f. Factor 3*h + f*h - 21*h**2 - 1 + 1 + 12.
-3*(h - 2)*(7*h + 2)
Solve -2/9*m**2 - 2/9*m**3 + 2/9*m**4 + 2/9*m + 0 = 0 for m.
-1, 0, 1
Let q be 15 + 0 - (-5 + 6). Let b(w) = 2*w - 23. Let h be b(q). Factor 0*t**2 + 5/4*t**4 + 0 - t**h - 1/4*t**3 + 0*t.
-t**3*(t - 1)*(4*t - 1)/4
Let l(j) be the second derivative of j**7/16380 - j**6/2340 + j**5/780 + j**4/3 - 6*j. Let d(m) be the third derivative of l(m). Factor d(f).
2*(f - 1)**2/13
Suppose 4*o - 63 = l + 4*l, -5*o - 3*l + 51 = 0. Factor m**4 + 10*m**3 - 3*m**5 - m**3 + 5*m**4 - 12*m**2 - o*m.
-3*m*(m - 2)**2*(m + 1)**2
Factor -4/3*f**3 + 0*f + 0*f**2 + 4/3*f**4 - 1/3*f**5 + 0.
-f**3*(f - 2)**2/3
Let b(h) be the third derivative of -h**7/10080 + h**5/480 - h**4/24 + 4*h**2. Let n(l) be the second derivative of b(l). Factor n(w).
-(w - 1)*(w + 1)/4
Let p be 8/(-6) - 88/(-12). Find m, given that -3*m**2 - 25*m + p*m + 13*m + 9 = 0.
-3, 1
Let c(y) be the third derivative of y**8/1680 + y**7/168 + y**6/45 + y**5/30 + y**3/3 - 8*y**2. Let x(o) be the first derivative of c(o). What is f in x(f) = 0?
-2, -1, 0
Let n = -140/3 + 48. Solve -25/3*r**2 - n - 20/3*r = 0.
-2/5
Let s(i) = i**4 + 9*i**2 - 2*i. Let w(u) = -2*u**4 + u**3 - 17*u**2 + 4*u. Let m(h) = 7*s(h) + 4*w(h). Solve m(k) = 0.
0, 1, 2
Let l(r) be the third derivative of r**6/540 - r**4/36 + 5*r**3/6 - 5*r**2. Let b(i) be the first derivative of l(i). Factor b(g).
2*(g - 1)*(g + 1)/3
Let y(p) be the third derivative of 2*p**2 - 1/24*p**4 - 1/3*p**3 + 0 + 0*p + 1/120*p**5 + 1/480*p**6. Solve y(i) = 0 for i.
-2, 2
Suppose 3 = 2*d + d. Factor 4*a**4 - 3 + 10*a + 18*a**2 + 14*a**3 + 0*a**3 + d + 4.
2*(a + 1)**3*(2*a + 1)
Let a(q) be the third derivative of q**6/540 + q**5/270 - q**4/108 - q**3/27 - 8*q**2. Find h, given that a(h) = 0.
-1, 1
Let v be (2/3)/(22/825). Let x = v + -74/3. Solve 0 - 1/3*w + w**2 - w**3 + x*w**4 = 0 for w.
0, 1
Let -400 + 118*w - 27*w - 4*w**2 - 11*w = 0. Calculate w.
10
Let n(m) be the second derivative of m**5/4 + 5*m**4/3 + 10*m**3/3 - 3*m + 5. Determine q so that n(q) = 0.
-2, 0
Let b(a) = -5*a**3 + a**2 + 9. Let j(w) = 5*w**3 - 2*w**2 + w - 10. Let p(h) = -6*b(h) - 5*j(h). Determine x, given that p(x) = 0.
-1, -4/5, 1
Suppose -10/3*o**2 + 20/3*o**3 - 5/3*o**4 - 20/3*o + 5 = 0. Calculate o.
-1, 1, 3
Let t(s) be the first derivative of 3*s**5/10 + 9*s**4/8 + 3*s**3/2 + 3*s**2/4 + 1. Let t(c) = 0. What is c?
-1, 0
Let g be (((-8)/(-12))/((-1)/6))/(-6). Factor -11/3*k**2 + g*k + 0.
-k*(11*k - 2)/3
Let a(v) be the first derivative of v**5 - 5*v**4 + 10*v**3 - 10*v**2 + 5*v + 45. Factor a(f).
5*(f - 1)**4
Let a(l) be the third derivative of l**5/12 + 5*l**4/24 - 6*l**2. Let s(z) = 0*z**2 - 4*z - 3*z**2 + z. Let c(p) = 4*a(p) + 7*s(p). Factor c(d).
-d*(d + 1)
Let r(o) be the third derivative of -5*o**8/336 - o**7/14 - o**6/8 - o**5/12 + 30*o**2. Factor r(k).
-5*k**2*(k + 1)**3
Let y = 1/9 - -29/63. Factor -16/7 - 4/7*q**2 + 32/7*q - 20/7*q**3 + 4/7*q**5 + y*q**4.
4*(q - 1)**3*(q + 2)**2/7
Let v(p) be the first derivative of p**7/1680 + p**6/240 + p**5/80 + p**4/48 + p**3 + 2. Let t(n) be the third derivative of v(n). Determine x so that t(x) = 0.
-1
Let h(u) be the second derivative of 0*u**2 + 1/120*u**5 - 4*u + 0 - 1/36*u**3 + 0*u**4. Determine m, given that h(m) = 0.
-1, 0, 1
Suppose 4*s = 4*r + 48, 5 = 2*s + 3*r - 9. Let f be 1/s*(20 - 18). Factor -1/5*l - f*l**2 + 2/5.
-(l - 1)*(l + 2)/5
Let q be (2 + (-40)/21)*6. Let x be (-16)/(-4) + (-8)/4. Factor 2/7*v**x + 2/7 - q*v.
2*(v - 1)**2/7
Let x(k) be the second derivative of -k**8/2520 - k**7/420 - k**6/270 - k**3/3 - k. Let f(w) be the second derivative of x(w). Factor f(z).
-2*z**2*(z + 1)*(z + 2)/3
Let c be ((-30)/70)/((-3)/2). Factor -c*s**3 + 2/7*s**4 + 0 + 0*s + 0*s**2.
2*s**3*(s - 1)/7
Let l be 0/(-1) + -5 + (-282)/(-54). Determine m so that 0 + 0*m - 4/9*m**3 + l*m**4 + 2/9*m**2 = 0.
0, 1
Let r be 5*-1*(-18)/45. What is x in -6*x**3 - 4*x - 8*x**3 + 0*x**3 + 19*x**r - 4 + 3*x**4 = 0?
-1/3, 1, 2
Let f be 6/4*64/48. Factor 0*k**3 + 0*k + 1/3*k**4 - 1/3*k**f + 0.
k**2*(k - 1)*(k + 1)/3
Let t(c) be the third derivative of 0 - 1/75*c**5 + 0*c + 0*c**3 - 3*c**2 + 0*c**6 + 2/525*c**7 - 1/840*c**8 + 1/60*c**4. Determine k, given that t(k) = 0.
-1, 0, 1
Suppose f = 4*m - 43, -2*m + 4*m = -5*f - 193. Let q be (-4)/2 - 91/f. Factor q*c**2 - 1/3*c - 2/3.
(c - 2)*(c + 1)/3
Let u(d) = -8*d**4 + 13*d**3 - 12*d**2 + 8*d. Let a(z) = z**4 - z**3. Let h(m) = -28*a(m) - 4*u(m). Factor h(v).
4*v*(v - 2)**3
Let w(y) be the third derivative of 2*y**7/945 + 22*y**6/135 + 242*y**5/45 + 2662*y**4/27 + 29282*y**3/27 + 35*y**2. Factor w(r).
4*(r + 11)**4/9
Let b = 897/8 - 112. Let o(a) be the first derivative of b*a**4 - 2 - 1/4*a**2 - 2/15*a**5 + 5/18*a**3 - 1/6*a. Suppose o(h) = 0. Calculate h.
-1, -1/4, 1
Let l(j) be the second derivative of -j**5/30 + j**4/18 + j. Solve l(z) = 0.
0, 1
Let f = 52 - 52. Let m(d) be the second derivative of f - 4*d**2 + d - 1/6*d**4 - 4/3*d**3. Factor m(j).
-2*(j + 2)**2
Factor 4*v**4 + 2*v**4 - 3*v**4 - 6*v**2 + 3*v**3 + 0*v**4.
3*v**2*(v - 1)*(v + 2)
Suppose 4*u = -20, 5*m + 25 = 4*m - 5*u. Let b(q) be the first derivative of m*q**2 + 0*q + 1/8*q**4 - 3 - 1/3*q**3. Factor b(d).
d**2*(d - 2)/2
Let t(f) be the third derivative of -f**8/10080 - f**7/1512 - f**6/540 + f**5/12 + 3*f**2. Let u(x) be the third derivative of t(x). Let u(m) = 0. What is m?
-1, -2/3
Solve -13 + 3 + 7 + 3*u**2 = 0 for u.
-1, 1
Let d(m) be the third derivative of -m**8/6720 - m**7/630 - m**6/144 - m**5/60 + m**4/8 - 4*m**2. Let c(v) be the second derivative of d(v). Factor c(i).
-(i + 1)**2*(i + 2)
Let r(j) be the second derivative of -j**4/72 + j**3/18 + 10*j. Suppose r(o) = 0. Calculate o.
0, 2
Suppose -175/2*o**4 + 51*o**2 + 85/2*o**3 - 2*o - 4 = 0. Calculate o.
-2/5, 2/7, 1
Let c(l) be the first derivative of l**3/6 + l**2/2 - 3*l/2 - 17. Factor c(t).
(t - 1)*(t + 3)/2
Let n = 8 - 0. Factor -4*o**4 + n*o**3 - 8*o + 106*o**2 - 106*o**2 + 4.
-4*(o - 1)**3*(o + 1)
Let d(y) = -y**2 + y + 1. Let k(f) = -2*f**4 + 8*f**3 - 10*f**2 - 2*f + 12. Let c(j) = -6*d(j) + k(j). Factor c(g).
-2*(g - 3)*(g - 1)**2*(g + 1)
Factor 0 + 2/7*p**2 - 2/7*p.
2*p*(p - 1)/7
Let h = 59/171 - 7/57. Find n such that 4/9 - h*n**4 + 2/3*n**3 - 2/9*n**2 - 2/3*n = 0.
-1, 1, 2
Let u be 6056/(-120) + (-2)/6. Let v = -248/5 - u. Factor -v + 21/5*j**2 + 3*j.
3*(j + 1)*(7*j - 2)/5
Let j(o) be the third derivative of o**10/75600 + o**9/37800 - o**8/16800 - o**7/6300 + o**4/8 - 2*o**2. Let s(x) be the second derivative of j(x). Factor s(n).
2*n**2*(n - 1)*(n + 1)**2/5
Suppose -3*f = -6*f. Suppose f*g = 3*g - 81. Factor -36*b - 4*b**2 + 9*b**2 + 6*b**2 + g + b**2.
3*(2*b - 3)**2
Let a(d) = -17*d - 1. Let p be a(-2). Suppose p = 4*f + 5*u - 0*u, 3*f + 4*u - 26 = 0. Find n such that -f - 3*n**3 + n**4 + 2 + 2*n**4 = 0.
0, 1
Let d(g) be the second derivative of 5*g**7/147 - g**6/35 - g**5/35 + 11*g. Factor d(v).
2*v**3*(v - 1)*(5*v + 2)/7
Let g(o) = 225*o**2 + 240*o + 81. Let c(i) = -14*i**2 - 15*i - 5. Let z(n) = 33*c(n) + 2*g(n). Factor z(t).
-3*(t + 1)*(4*t + 1)
Let n = 31/11 - 129/77. Let m(c) = -c**2 + c + 2. Let a be m(0). Factor -2/7*j**a + 8/7*j - n.
-2*(j - 2)**2/7
Let y(z) be the third derivative of -z**7/4620