(r) = a(r) + 2*l(r). Let o(s) = 0. What is s?
-2, 0
Let u = -92 - -95. Factor -2/3 + 1/3*j - 1/3*j**u + 2/3*j**2.
-(j - 2)*(j - 1)*(j + 1)/3
Let v(u) be the second derivative of -u**6/150 + u**5/50 + u**4/60 - u**3/15 + 44*u. Factor v(o).
-o*(o - 2)*(o - 1)*(o + 1)/5
Let o be 6/(-14) + (-80)/(-105). Factor 2/3*r**2 + 0*r + 0 + 4/3*r**4 + 5/3*r**3 + o*r**5.
r**2*(r + 1)**2*(r + 2)/3
Let z(x) = 8*x**2 - 2*x + 1. Let y be z(1). Factor -y*n**5 - n**2 + n**3 + n**4 - 4*n**5 + 10*n**5.
-n**2*(n - 1)**2*(n + 1)
Let s(c) be the second derivative of -c**6/55 - 7*c**5/110 - c**4/33 - 30*c. Factor s(h).
-2*h**2*(h + 2)*(3*h + 1)/11
Let b(h) = -h**3 + 2*h**2 + 3*h. Let y be b(3). Factor -3*k**2 + 2*k - 5*k + y*k.
-3*k*(k + 1)
Let g be (-2)/(0 - -2) + 4. Let j(f) be the third derivative of 0 + 0*f + 1/240*f**5 + 1/24*f**g + 2*f**2 + 1/48*f**4. Suppose j(y) = 0. Calculate y.
-1
Let d(x) be the first derivative of -3*x**5/20 - 3*x**4/4 - 3*x**3/2 - 3*x**2/2 - x + 4. Let i(v) be the first derivative of d(v). Factor i(w).
-3*(w + 1)**3
Let d(c) be the first derivative of 2*c**3/39 - 5*c**2/13 - 12*c/13 - 59. Determine x, given that d(x) = 0.
-1, 6
Let i = 12 + -8. Determine g, given that g + 2*g**2 + i + g - 8 = 0.
-2, 1
Let p(n) be the third derivative of 2*n**6/45 + n**5/45 - 2*n**4/9 - 2*n**3/9 + 2*n**2. Factor p(u).
4*(u - 1)*(u + 1)*(4*u + 1)/3
Let k(w) be the second derivative of -w**5/35 - w**4/6 - w**3/3 - 2*w**2/7 + 2*w - 32. Let k(y) = 0. What is y?
-2, -1, -1/2
Let v(x) be the third derivative of x**8/504 + x**7/105 - x**6/180 - x**5/30 - 2*x**2. Suppose v(d) = 0. Calculate d.
-3, -1, 0, 1
Let p**3 + 18*p - 11*p**4 - 8*p**4 - 4 + 7*p**4 - 32*p**2 + 27*p**3 + 2*p**5 = 0. Calculate p.
1, 2
Factor 2*v**2 - 2*v**2 - 8*v + 7*v**2 + 1.
(v - 1)*(7*v - 1)
Let t(f) be the second derivative of f**6/30 + f**5/15 - f**4/6 - 2*f**3/3 + f**2/2 + 7*f. Let c(u) be the first derivative of t(u). Factor c(n).
4*(n - 1)*(n + 1)**2
Let i be (-2 + 4)*-1 + 5. Factor -3*b**4 + b + b**4 - b**2 + i*b**2 - b**5.
-b*(b - 1)*(b + 1)**3
Find n such that 240/7*n**3 + 152/7*n + 50/7*n**4 + 318/7*n**2 + 24/7 = 0.
-3, -1, -2/5
Let g(u) be the first derivative of -u**3/12 - u**2/8 + u/2 - 7. Let g(q) = 0. What is q?
-2, 1
Let v(i) be the third derivative of 5/12*i**6 + 1/3*i**4 + 0*i**3 + 0 + 0*i + 8*i**2 - 2/3*i**5. Factor v(x).
2*x*(5*x - 2)**2
Let t(x) be the second derivative of -7/15*x**3 + 0 + x + 1/105*x**7 + 4/15*x**4 - 1/25*x**5 + 2/5*x**2 - 2/75*x**6. What is d in t(d) = 0?
-2, 1
Let l = 79 + -77. Suppose -4*x = -0*x - 8. Factor -h + 3*h + h - x - h**l.
-(h - 2)*(h - 1)
Let y(g) be the first derivative of 4/35*g**5 + 8/21*g**3 - 1/7*g**2 + 0*g - 5/14*g**4 + 2. Factor y(a).
2*a*(a - 1)**2*(2*a - 1)/7
Let s(f) = 34*f**3 - 51*f**2 - 81*f + 4. Let y(l) = 305*l**3 - 460*l**2 - 730*l + 35. Let i(n) = 55*s(n) - 6*y(n). Factor i(u).
5*(u - 2)*(u + 1)*(8*u - 1)
Let b(h) = -h**5 - h**4 - h**3 - h**2. Let k(w) = 4*w**5 + 10*w**4 + 6*w**3 + 2*w**2 + 2*w. Let t(x) = -6*b(x) - k(x). Factor t(j).
2*j*(j - 1)**3*(j + 1)
Let y = 25 + -22. Let c(i) be the first derivative of 1/6*i**y + 1 + 1/20*i**5 + 0*i + 0*i**2 - 3/16*i**4. Suppose c(h) = 0. Calculate h.
0, 1, 2
Suppose 0 + 1/4*u**3 - 1/4*u**2 + 0*u = 0. Calculate u.
0, 1
Let m(z) be the third derivative of z**6/210 - z**5/210 - z**4/42 + z**3/21 - 2*z**2. Let m(f) = 0. Calculate f.
-1, 1/2, 1
Let n(k) be the first derivative of k**5/5 - 5*k**4/12 - 17*k**3/9 + 13*k**2/6 + 2*k + 52. Suppose n(w) = 0. Calculate w.
-2, -1/3, 1, 3
Let g = 7 + -3. Find d, given that 0 + 2*d**2 + 2 + g*d - 3*d**2 + 3*d**2 = 0.
-1
Let k = 1065 + -1065. Solve 1/6*x**3 - 1/6*x**2 + k*x + 0 = 0 for x.
0, 1
Let f(u) be the first derivative of 1/2*u**2 - 2*u + 1/6*u**3 - 1/20*u**5 - 1/12*u**4 + 3. Let m(l) be the first derivative of f(l). Factor m(d).
-(d - 1)*(d + 1)**2
Let v = 1/189 - -25/378. Let l(b) be the first derivative of -2/21*b**3 + 2/7*b + 1/7*b**2 - v*b**4 + 1. Determine w so that l(w) = 0.
-1, 1
Let d(h) = -6*h**2 + 4*h + h + 8*h**2. Let t(m) = -2*m**2 - 4*m. Let u(l) = -4*d(l) - 5*t(l). Suppose u(y) = 0. Calculate y.
0
Let x be 1/4 - 12/(-16). Factor x + 0 - 4*t - 1 + 2*t**2.
2*t*(t - 2)
Let i(a) be the third derivative of -1/360*a**5 + 3*a**2 + 0 - 1/144*a**4 + 0*a + 0*a**3. Determine n, given that i(n) = 0.
-1, 0
Let z(l) be the third derivative of -l**8/336 + l**7/210 + l**6/120 - l**5/60 - 3*l**2. Determine o, given that z(o) = 0.
-1, 0, 1
Let v(r) be the second derivative of -r**5/30 - r**4/12 + 3*r**2/2 + 2*r. Let s(m) be the first derivative of v(m). Factor s(d).
-2*d*(d + 1)
Let p(v) = -v**2 + v - 1. Let w(y) = 7*y**2 - 7*y + 2. Let t(l) = -3*p(l) - w(l). Let k(o) = -3*o**2 + 3*o. Let b(x) = -7*k(x) + 6*t(x). Factor b(n).
-3*(n - 2)*(n + 1)
Let 1 + 2*m**2 + 2*m**3 - 53*m**4 - 2 - m**5 + 52*m**4 - m = 0. Calculate m.
-1, 1
Factor 0*o**4 + 8*o**4 - 8*o**2 + 29*o + 2*o**5 - 37*o + 6*o**3.
2*o*(o - 1)*(o + 1)*(o + 2)**2
Let o(w) = -3*w**3 - 5*w**2 + 11*w + 13. Let c(a) = 2*a**3 + 6*a**2 - 10*a - 14. Let f(z) = -5*c(z) - 4*o(z). Factor f(j).
2*(j - 3)**2*(j + 1)
Let l(b) be the third derivative of b**5/270 - b**4/54 - b**3/9 - 14*b**2. Factor l(t).
2*(t - 3)*(t + 1)/9
Let t = -13/8 - -71/24. What is q in 1/3*q**2 + t + 4/3*q = 0?
-2
Factor 8*l**2 + 4*l - 7*l**2 - 8 - 7*l**3 + 7*l**2 + 3*l**3.
-4*(l - 2)*(l - 1)*(l + 1)
Let y = -3/20 - -2/5. Suppose 0*l + y*l**2 + 0 - 1/4*l**3 = 0. Calculate l.
0, 1
Let r(t) = t**3 - 15*t**2 + 3. Let v be r(15). Let o be 2/9 - (-4)/9. Suppose 2/3*j**v + 0 + o*j + 4/3*j**2 = 0. What is j?
-1, 0
Suppose 7*n = -5*n + 24. What is r in -4/3 - 8/3*r**3 + 4/3*r**4 + 8/3*r + 0*r**n = 0?
-1, 1
Let a(u) be the first derivative of 1/12*u**4 + 3 - 1/2*u**2 + 0*u**3 + u. Let t(q) be the first derivative of a(q). Let t(d) = 0. What is d?
-1, 1
Let j(g) be the first derivative of 3*g**5/25 - 3*g**4/2 + 33*g**3/5 - 12*g**2 + 48*g/5 - 61. Determine y so that j(y) = 0.
1, 4
Factor 16/3 - 2/3*v**3 + 4*v**2 + 10*v.
-2*(v - 8)*(v + 1)**2/3
Suppose 0 = -3*o + g + 19 - 3, -4*o + 16 = 4*g. What is j in 0*j**2 + 0 - 2/3*j**3 + 0*j - 2/3*j**o + 4/3*j**4 = 0?
0, 1
Let g(d) be the first derivative of -2/3*d**3 + 6 + 0*d + d**2. Factor g(a).
-2*a*(a - 1)
Let 1/8*d**2 - 3/4*d + 9/8 = 0. What is d?
3
Let u be (3*-3*1)/(-1). Suppose 5 + u = r. Find z, given that 11 + 2*z**3 + 10*z**2 + r*z - 3 + 2*z = 0.
-2, -1
Let t = -1206/5 + 242. Factor -12/5*z**3 - 12/5*z**2 - 4/5*z**4 + 0 - t*z.
-4*z*(z + 1)**3/5
Factor 2/3*u**3 + 4/3 + 10/3*u + 8/3*u**2.
2*(u + 1)**2*(u + 2)/3
Let f be (5/(-6))/((-15)/9). Let q(w) be the first derivative of f*w**4 + 0*w**2 + 0*w + 0*w**3 + 1 + 2/5*w**5. What is b in q(b) = 0?
-1, 0
Let q(x) be the second derivative of -x**8/1680 - x**7/420 - x**6/360 - x**3/2 - 3*x. Let o(n) be the second derivative of q(n). Find u such that o(u) = 0.
-1, 0
Let c be (5 + -2)*(-5)/3. Let s = 3 + c. Let b(g) = -9*g**2 - 17*g - 8. Let o(m) = 4*m**2 + 8*m + 4. Let f(y) = s*b(y) - 5*o(y). Factor f(z).
-2*(z + 1)*(z + 2)
Find n, given that -1/2*n**3 + 1/2 + 1/2*n - 1/2*n**2 = 0.
-1, 1
Let c(t) = 3*t**3 - 3*t**2 - 6*t + 6. Let l(u) = 6*u**3 - 5*u**2 - 13*u + 12. Let b(m) = 5*c(m) - 3*l(m). Let b(j) = 0. What is j?
-2, 1
Let i be 2/5 + (388/240 - 2). Let h(y) be the third derivative of -1/150*y**5 + 2/15*y**3 + 2*y**2 - i*y**4 + 0 + 0*y. Factor h(x).
-2*(x - 1)*(x + 2)/5
Let a be (-1 + 2)*(-6 - 1). Let z(b) = -b**2 - 8*b - 6. Let v be z(a). Factor -i**3 - 4*i - 4*i**2 + v - 1.
-i*(i + 2)**2
Let d = -1019/5 - -204. Factor -2/5*j - 1/5*j**2 + d*j**3 + 0.
j*(j - 2)*(j + 1)/5
Suppose 1 = -5*i + 4*r - 1, -4*r = -i - 10. Let p(m) be the second derivative of 2/5*m**i + 1/5*m**3 + 1/30*m**4 + 0 - 2*m. Find w, given that p(w) = 0.
-2, -1
Factor -184*m**3 - 36*m**5 + 132*m**4 - 88 + 120*m**2 - m - 35*m + 92.
-4*(m - 1)**3*(3*m - 1)**2
Let z = 149/90 + -8/5. Let m(d) be the second derivative of -1/3*d**2 + 0*d**3 + d + 0 + z*d**4. Factor m(j).
2*(j - 1)*(j + 1)/3
Let l be -3 - (111/51 - 2). Let y = l - -321/85. Determine k so that 0*k + 0 - y*k**4 - 4/5*k**3 - 1/5*k**2 = 0.
-1, -1/3, 0
Let -4500*m**4 + 31920*m**3 + 686*m**5 - 3443*m**4 + 6240*m - 576 - 23200*m**2 - 877*m**4 = 0. Calculate m.
2/7, 6
Let r(g) be the second derivative of 5*g**4/12 + g**3/3 