t - 2 - 15*t - 2 + s*t**2.
-2*(t + 2)*(3*t + 1)
Let u(a) be the second derivative of -a**5/20 + a**4/3 - a**3/2 + a**2/2 + 4*a. Let b be u(2). Factor -3*x**4 - 9*x**3 - 5*x**3 - 2*x**b + 13*x**3.
-3*x**3*(x + 1)
Determine w, given that -366*w - 360 + 336*w**2 - 837*w**2 - 6*w**3 + 408*w**2 = 0.
-10, -4, -3/2
Let d(u) = -u**2 + 134*u + 280. Let v(t) = t**2 - 269*t - 562. Let h(p) = 5*d(p) + 2*v(p). Factor h(o).
-3*(o - 46)*(o + 2)
Let c(v) = 15*v**5 - 15*v**4 - 35*v**3 + 5*v**2 + 20*v. Let f(i) = 7*i**5 - 7*i**4 - 17*i**3 + 3*i**2 + 10*i. Let t(y) = -2*c(y) + 5*f(y). Factor t(q).
5*q*(q - 2)*(q - 1)*(q + 1)**2
Let r be 0/(-3*1/3). Let 2/5*n**5 + 6/5*n + r + 12/5*n**4 + 4*n**2 + 24/5*n**3 = 0. Calculate n.
-3, -1, 0
Let d(h) be the second derivative of 10*h + 23/60*h**5 + 1/6*h**4 - 1/2*h**3 - 1/5*h**6 + 0 - 1/3*h**2. Let d(g) = 0. What is g?
-1/2, -2/9, 1
Let j(b) = b**2 + 24*b + 112. Let h be j(-6). Let y = -353/6 - -59. Suppose -y*x + x**h + 0 + 2/3*x**2 + 11/6*x**3 = 0. What is x?
-1, 0, 1/6
Let j(d) be the second derivative of -2*d**6/15 - d**5/5 + d**4/3 + 2*d**3/3 + d - 81. Factor j(b).
-4*b*(b - 1)*(b + 1)**2
Let y(t) be the first derivative of -37 + 1/15*t**5 + 4/3*t**2 - 4/3*t - 1/3*t**3 - 1/6*t**4. Find x such that y(x) = 0.
-2, 1, 2
Let y be (-9)/6*(-8)/12. Suppose -y - 4 = -5*p. Factor -5/2*b - 1/2*b**3 - p - 2*b**2.
-(b + 1)**2*(b + 2)/2
Let p = 31 - 33. Let h be (-2 + 5)*(-1 - p). Determine d so that -d**2 + 5/3*d - 2/3 - 1/3*d**h + 1/3*d**4 = 0.
-2, 1
Solve 1/9*d**4 + 205/9*d + 68/9 + 71/9*d**3 + 23*d**2 = 0 for d.
-68, -1
Let t(d) = -29*d**5 + 29*d**3. Suppose 0 = n - 5*n + 36. Let c(f) = -7*f**5 + 7*f**3. Let w(g) = n*c(g) - 2*t(g). Suppose w(m) = 0. What is m?
-1, 0, 1
Let p(r) be the first derivative of r**4/20 - 4*r**3/15 + r**2/2 - 2*r/5 - 33. Let p(o) = 0. What is o?
1, 2
Let z(y) be the first derivative of -y**7/420 - y**6/240 + y**2 + 7. Let w(x) be the second derivative of z(x). Factor w(p).
-p**3*(p + 1)/2
Factor -26*z**2 + 22*z**2 + 14*z - 24 + 6*z.
-4*(z - 3)*(z - 2)
Let s(j) be the third derivative of 0 - 125/6*j**3 - 25/12*j**4 - 13*j**2 + 0*j - 1/12*j**5. Factor s(n).
-5*(n + 5)**2
Let o(t) be the second derivative of -t**5/50 + t**4/6 + 7*t + 19. Factor o(g).
-2*g**2*(g - 5)/5
Suppose -n + 6 = z + 3*z, 4*n + 5*z = 24. Find h, given that 2/3*h**2 + 4*h + n = 0.
-3
Let x = 1881 + -1879. Let j(p) be the third derivative of 0*p + 1/36*p**4 + 0 + 1/90*p**5 - 7*p**x - 2/9*p**3. Determine t, given that j(t) = 0.
-2, 1
Let v(w) be the first derivative of -w**5/5 + w**3 + w**2 - 61. Factor v(d).
-d*(d - 2)*(d + 1)**2
Let b(k) be the first derivative of k**5/60 + 5*k**4/8 + 7*k**3/3 + 3*k**2/2 + 2*k - 18. Let q(a) be the second derivative of b(a). Factor q(r).
(r + 1)*(r + 14)
Let p(v) be the second derivative of v**9/83160 + v**8/9240 + v**7/4620 - v**4 - 50*v. Let i(s) be the third derivative of p(s). Factor i(c).
2*c**2*(c + 1)*(c + 3)/11
Suppose 0*c - 22 = -4*l + c, -14 = -4*l - 3*c. Let -87*n**3 - 126*n**l + 97*n**4 + 18*n - 125*n**3 - 24*n**2 - 397*n**4 + 4 = 0. Calculate n.
-1, -1/3, 2/7
Let -4/7*n**5 - 64/7*n + 18/7*n**4 + 104/7*n**3 + 72/7*n**2 + 0 = 0. Calculate n.
-2, 0, 1/2, 8
Let t = -299/2 + 107935/722. Let j = 349/2166 - t. Factor 0 + 2/3*d + j*d**3 - 2/3*d**2.
d*(d - 2)**2/6
Let f(t) = t**2. Let q be (1 + -2)*(-4 + -4 + -2). Let x(u) = -6*u**2 + 8*u - 12. Let a(o) = q*f(o) + x(o). Let a(s) = 0. Calculate s.
-3, 1
Suppose -6*w - 12 = -8*w. Let l(s) = -5*s**3 + 9*s**2 + 8*s + 6. Let o(z) = 9*z**3 - 17*z**2 - 15*z - 11. Let p(k) = w*o(k) + 11*l(k). Factor p(n).
-n*(n + 1)*(n + 2)
Factor 2/7*r**4 - 12/7 - 6/7*r**3 - 6/7*r**2 + 22/7*r.
2*(r - 3)*(r - 1)**2*(r + 2)/7
Determine x so that -4/7*x**3 + 4/7*x + 16/7*x**2 - 10/7*x**4 - 6/7 = 0.
-1, 3/5, 1
Suppose -2*r + 21 + 3 = 4*x, -4*r - 2*x = -18. Suppose -2*o - 4*m - 7 = -37, 0 = -r*o - m + 21. Factor 2*f**2 - 6*f**2 - 3 + f**2 + o*f - 3.
-3*(f - 2)*(f - 1)
Let m be 35/(-10) + 4 + (-1213)/10. Let n = m + 122. Factor 0 - 3/5*i**2 - n*i.
-3*i*(i + 2)/5
Let c be (2/(-3))/(4/(-18)). Let z be ((-15)/(-18))/5 - (-321)/18. Factor 8*u**4 - 10*u**c - z*u**3 - 36*u - 8*u**3 + 39*u**2 + 8 + 17*u**2.
4*(u - 2)*(u - 1)**2*(2*u - 1)
Find t, given that -56/3*t**3 - 2/9*t**5 - 304/9*t**2 - 64/3*t - 4*t**4 + 0 = 0.
-12, -2, 0
Let y(b) be the second derivative of b**7/147 - 4*b**6/35 + 3*b**5/7 - 2*b**4/3 + 3*b**3/7 - 58*b - 2. Let y(n) = 0. Calculate n.
0, 1, 9
Let t(p) be the second derivative of -2/3*p**2 + 7/27*p**3 + 0 - 30*p - 1/54*p**4. Find v, given that t(v) = 0.
1, 6
Let c(w) = 4*w**3 + 6*w**2 + 3*w. Let l(f) = 7*f**3 + 11*f**2 + 5*f. Let s(q) = -5*c(q) + 3*l(q). What is o in s(o) = 0?
-3, 0
What is g in -12*g - 38/3 + 2/3*g**2 = 0?
-1, 19
Let a(y) be the first derivative of 2*y**5/65 - 4*y**4/13 + 44*y**3/39 - 24*y**2/13 + 18*y/13 + 286. Factor a(j).
2*(j - 3)**2*(j - 1)**2/13
Let h(z) be the third derivative of z**7/35 - 9*z**6/80 + z**5/20 + 113*z**2. Factor h(t).
3*t**2*(t - 2)*(4*t - 1)/2
Let c = -26 + 26. Let r(x) be the first derivative of -7/10*x**4 + 0*x + c*x**2 + 1 + 18/25*x**5 - 4/15*x**3. Factor r(n).
2*n**2*(n - 1)*(9*n + 2)/5
Suppose 2*o = 4*q, 1218*q - 1222*q + 10 = 3*o. Factor 27/2*c - 9/2*c**o - 3/2*c**3 + 81/2.
-3*(c - 3)*(c + 3)**2/2
Let q(x) be the first derivative of 10*x**3/3 - 34*x**2 - 14*x - 49. Determine l so that q(l) = 0.
-1/5, 7
Let l(b) be the first derivative of 2*b**3/3 - b**2 - 12*b - 111. Factor l(c).
2*(c - 3)*(c + 2)
Let j(r) be the second derivative of r**7/35 - 19*r**6/50 + 201*r**5/100 - 107*r**4/20 + 15*r**3/2 - 27*r**2/5 - 58*r + 1. Let j(p) = 0. What is p?
1/2, 1, 2, 3
Let m(y) = 45*y**2 + 1760*y + 154880. Let c(d) = -4*d**2. Let b(z) = -10*c(z) - m(z). Factor b(q).
-5*(q + 176)**2
Let t = 404 + -805/2. Let a(q) be the first derivative of 0*q - t*q**2 + 9 - q**3. Factor a(m).
-3*m*(m + 1)
Let u be ((-3)/(-2))/((-21)/(-28)). Suppose 0 = x - 4 + u. Factor -11 + 5*z**2 + z**x + 2*z**3 + 3.
2*(z - 1)*(z + 2)**2
Let g(w) = -3*w**2 - 6*w + 1. Let p(d) = 10*d**2 + 18*d - 8. Let x(h) = -21*g(h) - 6*p(h). Find o, given that x(o) = 0.
-3
Let g(r) = -r**3 - 5*r**2 - 5*r. Let m(s) = s**3 + 2*s**2 + 2*s. Suppose -2*i - 4*q = -0*i - 6, -i = 5*q. Let c(h) = i*m(h) + 2*g(h). Factor c(a).
3*a**3
Let i = 171 + -47. Let f = 126 - i. Factor -6 - 147/2*a**f + 42*a.
-3*(7*a - 2)**2/2
Suppose -4*b + 34 = -5*z, b + 4*z - 16 = -3*b. Let j = -3 + b. Let -2*m**3 - 6 + 2*m**3 + 3*m**3 + 9*m**2 - j*m**4 + 3*m - 6*m**3 = 0. Calculate m.
-2, -1, 1
Let a(g) be the first derivative of -g**4/12 - 2*g**3/3 + 5*g**2/2 - 8*g/3 - 130. Find l such that a(l) = 0.
-8, 1
Let q = -782 - -785. Factor 3/4*y**2 + 1/4*y**q - 1/4*y**4 - 5/4*y + 1/2.
-(y - 1)**3*(y + 2)/4
Let f(o) be the third derivative of o**5/12 - 125*o**4/24 - 161*o**2. Find j such that f(j) = 0.
0, 25
Let c(o) be the second derivative of -o**6/105 - o**5/7 + 23*o**4/42 + 80*o**3/7 - 576*o**2/7 - 55*o. Suppose c(b) = 0. Calculate b.
-8, 3
Let u(f) = -f**2 + 2*f - 1. Let d(g) = 4*g**2 - 7*g + 3. Let o(r) = -2*d(r) - 7*u(r). Let t(z) = -7*z**2 + 4. Let s(a) = -4*o(a) + t(a). Factor s(c).
-3*c**2
Let o = -443 - -447. Let s = 5 + -3. Factor -6*k**3 - 3*k**o + k**3 + s*k**3 - k**5 - k**2.
-k**2*(k + 1)**3
Factor 23073394*a**2 + 163939*a**3 + 5*a**5 + 393868*a**3 + 110008*a**3 + 174*a**4 + 23896261*a**2 + 2991*a**4.
5*a**2*(a + 211)**3
Let f(h) be the second derivative of -h**4/20 - 44*h**3/5 - 2904*h**2/5 - 2*h - 98. Determine m so that f(m) = 0.
-44
Let p(o) = -o**3 + 35*o**2 + 99*o + 5. Let n(w) = -2*w**3 + 34*w**2 + 102*w + 6. Let u(h) = -5*n(h) + 6*p(h). Factor u(l).
4*l*(l + 3)*(l + 7)
Let a be (-28)/(-7)*(1 + 0). Factor a*b - 2 - b**2 + 2*b**2 - b - 2*b.
(b - 1)*(b + 2)
Suppose -4*m + 14 = h, 8*h + 3*m = 10*h + 5. Factor 0 - 1/10*x**h - 3/10*x.
-x*(x + 3)/10
Solve 34/3*h**2 - 10/3*h**3 + 8/3 - 32/3*h = 0 for h.
2/5, 1, 2
Let q = -14 - -12. Let d be (-3)/1 + (4 - q). Find f, given that -12*f**4 - 2 - d*f - 9*f**5 - 4 + 12*f**3 + 9*f**2 + 9*f**2 = 0.
-1, 2/3, 1
Suppose -u = 4*t - 0*u + 1331, -3*u + 655 = -2*t. Let x = t - -1331/4. Factor -9*p**3 + 36*p**4 - 48*p**5 + 0*p + x*p**2 + 0.
-3*p**2*(4*p - 1)**3/4
Let u(r) be the first derivative of -2*r**3/27 - 118*r**2/9 - 6962*r/9 - 26. Factor u(k).
-2*(k +