)**2/8
Let w(o) be the first derivative of -2*o - 21 - 1/3*o**3 - 3/2*o**2. Factor w(u).
-(u + 1)*(u + 2)
Let h(r) be the third derivative of r**7/280 - r**6/20 + 3*r**5/10 - r**4 + 2*r**3 - 7*r**2. Factor h(o).
3*(o - 2)**4/4
Let f(q) be the second derivative of -1/90*q**5 + 1/54*q**4 - 1/9*q**2 + 18*q + 0 + 1/27*q**3. Suppose f(h) = 0. Calculate h.
-1, 1
Suppose 37 = 3*q + 28. Solve -q*j**4 + 48*j**3 + 5*j**5 - 43*j**3 - 7*j**4 = 0 for j.
0, 1
Let x = -208687/15 + 13913. Solve -2/3*o**3 + 2/15*o**5 - 4/3*o**2 + 4/15*o**4 + 16/15 + x*o = 0 for o.
-2, -1, 1, 2
Let t(l) be the first derivative of 0*l + 16 + 0*l**3 + 1/8*l**4 - 1/24*l**6 - 1/8*l**2 + 0*l**5. Suppose t(n) = 0. What is n?
-1, 0, 1
Let k(a) = -a**3 + 5*a**2 - 4*a + 6. Let h be k(4). Suppose -w = w - h. Solve -8*x**w + 4 - 2*x + 7*x**3 + 2*x**2 + 9*x = 0 for x.
-1, 4
Factor -13341*o**2 + 71*o - 64 + 20*o**4 + 3*o + 13277*o**2 - 4*o**5 - 6*o + 60*o - 16*o**3.
-4*(o - 2)**3*(o - 1)*(o + 2)
Let k = 79082/803 + 8592/73. Let b = k - 216. Let 0 + 8/11*x**3 - b*x**4 + 4/11*x - 10/11*x**2 = 0. Calculate x.
0, 1, 2
Let l = -61 - -62. Let x(n) = n**2 + n - 1. Let a(i) = 5*i**2 + 10*i - 10. Let k(q) = l*a(q) - 6*x(q). Factor k(m).
-(m - 2)**2
Suppose -7*v - 30 = -10*v. Let r be (-8)/(-5)*((-15)/v - -2). Solve -2*i + 12/5*i**4 + 22/5*i**3 - r + 4/5*i**2 = 0.
-1, -1/2, 2/3
Let k(w) be the second derivative of 11*w**4/9 + 16*w**3/3 + 8*w**2/3 + 2*w + 21. Factor k(d).
4*(d + 2)*(11*d + 2)/3
Let i(x) be the second derivative of -x**4/24 + x**3/2 - 5*x**2/4 - 14*x - 3. Factor i(m).
-(m - 5)*(m - 1)/2
Let a = 185482 + -30604418/165. Let r = a + 4/33. Factor -2/5*d + 2/5*d**2 - r.
2*(d - 2)*(d + 1)/5
Let p = -67 - -70. Factor 3*d**5 + 2*d - 22*d**5 - 21*d**3 + p*d**2 + 5*d**5 + 25*d**4 + 5*d**5.
-d*(d - 1)**3*(9*d + 2)
Suppose -t = 12*t. Let o(y) be the third derivative of 2/35*y**5 - 3/140*y**6 + t*y**3 + 0 + 0*y + y**2 - 1/21*y**4. Factor o(v).
-2*v*(3*v - 2)**2/7
Let o = -172954/7 + 24718. Factor 122/7*m**3 - 24*m**2 + o*m + 0 + 2/7*m**5 - 4*m**4.
2*m*(m - 6)**2*(m - 1)**2/7
Let i(o) be the third derivative of -o**5/48 - 35*o**4/16 - 205*o**3/24 - 34*o**2 + o. Factor i(j).
-5*(j + 1)*(j + 41)/4
Suppose 2*x - 1 = 5*g - 11, 0 = -g + x + 2. Factor 91*r**2 - 44*r**2 - r - 48*r**g.
-r*(r + 1)
Let f(u) be the third derivative of 0 + 0*u**5 - 2/3*u**4 + 0*u - 7*u**2 + 2/105*u**7 + 1/10*u**6 + 0*u**3. Determine w so that f(w) = 0.
-2, 0, 1
Let b = -6 - -6. Suppose 5*u - 195 = -b*u. Solve -39 + u - m**5 + m**3 = 0 for m.
-1, 0, 1
Let x(q) = 6*q**3 + 7*q**2 + 6*q. Let w(l) = -378*l**3 + 4*l**2 + 383*l**3 + 2*l**2 + 5*l. Let o(m) = -5*w(m) + 4*x(m). Factor o(b).
-b*(b + 1)**2
Let c be -1 - ((-4 - -3 - -2) + -4). Factor 11*d**2 - 9*d**c - 3 + d**4 + 16*d**5 + 5*d - 15*d**5 - 6*d**3.
(d - 1)**3*(d + 1)*(d + 3)
Let w(o) be the second derivative of o**8/30240 - o**7/3780 + o**6/1080 - o**5/540 + o**4/12 - 7*o. Let b(j) be the third derivative of w(j). Factor b(x).
2*(x - 1)**3/9
Factor 11*g**4 - 4*g**3 + g**4 - 13*g**4 - 4*g**2.
-g**2*(g + 2)**2
Suppose 7*r - 5*r + 12 = 3*z, 0 = 5*z + 4*r - 20. Determine s, given that -15/8*s + 3/2*s**z - 3/4*s**2 - 3/4 + 3/2*s**3 + 3/8*s**5 = 0.
-2, -1, 1
Let u(n) = 48*n**2 + 386*n + 1024. Let a(x) = -x**3 + x. Let i(l) = -4*a(l) + 2*u(l). Factor i(y).
4*(y + 8)**3
Let o(s) = 5*s**4 + 4*s**3 - 5*s**2 - 4*s. Let a = 18 + -14. Let d(j) = -14*j**4 - 11*j**3 + 14*j**2 + 11*j. Let p(q) = a*d(q) + 11*o(q). Factor p(m).
-m**2*(m - 1)*(m + 1)
Factor 0 - 34/5*r**2 + 0*r + 2/5*r**3.
2*r**2*(r - 17)/5
Let c(v) = -v - 19. Let p be c(-23). What is t in -18*t**3 + 30*t + 4*t**2 - 16*t**p - 12*t + 2 + 10*t**2 = 0?
-1, -1/8, 1
Let f(t) be the second derivative of -t**4/8 + 277*t**3/4 + 417*t**2/2 - 38*t - 3. Factor f(p).
-3*(p - 278)*(p + 1)/2
Let l(x) be the first derivative of -9 + 605/3*x**3 + 45*x + 165*x**2. Find c such that l(c) = 0.
-3/11
Factor 1/3*l**3 + 1/3*l**4 + 20/3*l + 0 - 16/3*l**2.
l*(l - 2)**2*(l + 5)/3
Let g = 1/3502 + 98045/38522. Find m such that 98/11 - g*m + 2/11*m**2 = 0.
7
Let l(f) be the first derivative of f**3/3 + 15*f**2 - 64*f + 369. Determine n, given that l(n) = 0.
-32, 2
Suppose 0 = 2*c - 2*i - 2, -4*c + 4*i - 4 = -2*c. Let w be (-105)/(-54) + (-6)/c. Factor 0*a + 0 - 2/9*a**3 - w*a**2.
-2*a**2*(a + 2)/9
Suppose -4*y + y = 5*z - 63, -y - 35 = -3*z. Suppose -5*i = -19 + 4. Let -z*n + 2*n**3 - 4 + n**i + 0*n**3 + n**2 = 0. What is n?
-2, -1/3, 2
Let v(k) = -5*k**3 + 129*k**2 - 124*k - 6. Let q(z) = 10*z**3 - 257*z**2 + 247*z + 13. Let g(b) = -6*q(b) - 13*v(b). Factor g(w).
5*w*(w - 26)*(w - 1)
Let m(d) be the third derivative of -d**6/24 + 4*d**5/3 - 85*d**4/8 + 30*d**3 + 425*d**2. Factor m(s).
-5*(s - 12)*(s - 3)*(s - 1)
Let m(i) be the second derivative of -7*i**5/80 + 13*i**4/12 - 10*i**3/3 - 8*i**2 + 22*i + 1. Factor m(l).
-(l - 4)**2*(7*l + 4)/4
Suppose -24*u - 10 + 106 = 0. Let w(a) be the first derivative of -5*a**4 + 3 + 4/5*a**5 + 2/3*a**6 + 0*a + 0*a**2 + u*a**3. Find b such that w(b) = 0.
-3, 0, 1
Let b(a) = a**2 - 9*a. Let m be b(10). Let h(z) = z**2 - 11*z + 13. Let o be h(m). Solve -16*c**3 + 8*c - 9*c**4 + 3*c**4 + 2*c**o = 0.
-2, -1, 0, 2/3
Let d(f) be the third derivative of -1/45*f**5 + 0*f + 1/180*f**6 + 1/36*f**4 + 0*f**3 + 21*f**2 + 0. Factor d(n).
2*n*(n - 1)**2/3
Let w(x) = 13*x**3 - 41*x**2 - 222*x + 243. Let h(n) = -4*n**3 + 14*n**2 + 74*n - 82. Let d(v) = -7*h(v) - 2*w(v). Factor d(g).
2*(g - 11)*(g - 1)*(g + 4)
Factor -15*i**2 + 65 - 5*i**3 + 56 - 69 + 110*i + 68.
-5*(i - 4)*(i + 1)*(i + 6)
Let o(x) = x**3 + x**2. Let t(u) be the first derivative of -15*u**4/4 + 5*u**3 + 75*u**2/2 + 45*u - 21. Let h(j) = 20*o(j) + t(j). Factor h(k).
5*(k + 1)*(k + 3)**2
Suppose 8*z - 10 = 3*z. Solve -17*m**3 + 2*m + z*m + 16*m**2 + 33*m**3 = 0 for m.
-1/2, 0
Let f(g) be the first derivative of g**5 + 10*g**4 + 115*g**3/3 + 70*g**2 + 60*g - 160. Let f(x) = 0. Calculate x.
-3, -2, -1
Let v = 5 - 2. Suppose 16 = z + v*z. Find l such that -3 + 1 + 8*l - 4*l - l**z + 3*l**4 - 4*l**3 = 0.
-1, 1
Find o such that 16/5*o**2 + 4 - 38/5*o + 2/5*o**3 = 0.
-10, 1
Let r be 18/(-153) - 16/(-136). Let m(c) be the first derivative of r*c - 4 - 5/8*c**4 + 7/6*c**3 + 1/2*c**2 - 2/5*c**5. Let m(d) = 0. What is d?
-2, -1/4, 0, 1
Let u = -38 - -40. Determine k, given that -k**2 - 8*k + k**u - 8 - 2*k**2 = 0.
-2
Let j(c) be the third derivative of -c**6/60 - 7*c**5/30 - 7*c**4/12 + 5*c**3 + 39*c**2 - 3. Factor j(b).
-2*(b - 1)*(b + 3)*(b + 5)
Let x(a) be the second derivative of -a**5/40 + a**3/3 - 7*a + 2. Find d, given that x(d) = 0.
-2, 0, 2
Let n be (-96)/160 - 22/(-20). Find m such that -n*m**2 + 0*m - 1/2*m**5 + 0 + 1/2*m**4 + 1/2*m**3 = 0.
-1, 0, 1
Let s = 20/19 + -2138/1995. Let q = s + 24/35. Suppose -2/3*w + 0 + 2/3*w**2 + q*w**3 - 2/3*w**4 = 0. Calculate w.
-1, 0, 1
Suppose -8*i + 102 = -6*i + 4*u, 5*i + 5*u - 255 = 0. Let d = -101/2 + i. Solve -d*j**2 + 1/2 + 0*j = 0.
-1, 1
Suppose 12787*r + 20 = 12797*r. Factor 28/5*f**r + 16/5*f**3 + 0 - 8/5*f.
4*f*(f + 2)*(4*f - 1)/5
Let v(u) be the second derivative of u**4/6 - 13*u**3/3 + 12*u**2 + 2*u - 173. Suppose v(z) = 0. What is z?
1, 12
Let b be (44/(-45))/((-12)/30) + -2. Let y(r) be the first derivative of -2/3*r**4 - b*r**3 + 0*r - 6 + 0*r**2 + 1/3*r**5. Suppose y(m) = 0. Calculate m.
-2/5, 0, 2
Let b(n) = -7*n**3 + 2*n**2 + 9*n - 5. Let v = 5 - -3. Let j(s) = 11*s**3 - 3*s**2 - 14*s + 8. Let l(o) = v*b(o) + 5*j(o). Let l(c) = 0. What is c?
-1, 0, 2
Let t(s) be the first derivative of s**4/4 + s**3/3 - s**2 - 235. Solve t(r) = 0.
-2, 0, 1
Let b(x) = -x**2 - 17*x + 984. Let s be b(-41). Factor 0 - 16/3*r + 1/3*r**5 + 16/3*r**2 + s*r**3 - 4/3*r**4.
r*(r - 2)**3*(r + 2)/3
Let d(r) = r**3 - 40*r**2 + 256*r + 3. Let b be d(32). Factor -16/3*y**2 - 4/3*y + 4/3*y**b + 16/3.
4*(y - 4)*(y - 1)*(y + 1)/3
Suppose 4*z - 3*i - 46 = -28, -4*i + 4 = 4*z. Let -1/2*t**5 + 4/5*t**4 + 0 + 0*t - 1/5*t**2 - 1/10*t**z = 0. Calculate t.
-2/5, 0, 1
Let m = -1840/39 - -622/13. Factor 0*f**2 - 1/3 - m*f + 2/3*f**3 + 1/3*f**4.
(f - 1)*(f + 1)**3/3
Let q(r) be the second derivative of -1/60*r**5 - 4*r + 1/12*r**4 - 1/6*r**3 + 0 + 3*r**2. Let i(y) be the first derivative of q(y). Factor i(x).
-(x - 1)**2
Suppose 4*o - 3*x = o - 6, 3*x + 34 =