 2)
Let r be (-2)/(3*-2)*15. Let d(v) be the third derivative of v**2 + 0 + 0*v**r + 0*v**3 - 2/735*v**7 + 0*v + 0*v**4 - 1/1176*v**8 - 1/420*v**6. Factor d(t).
-2*t**3*(t + 1)**2/7
Let f(w) be the second derivative of -w**7/2100 + w**6/450 + w**5/300 - w**4/30 + w**3/6 + w. Let n(x) be the second derivative of f(x). Factor n(c).
-2*(c - 2)*(c - 1)*(c + 1)/5
Let n(g) be the third derivative of 1/1176*g**8 - 1/28*g**4 - 1/21*g**3 - 7*g**2 - 1/105*g**5 + 0*g + 0 + 1/210*g**6 + 1/245*g**7. Let n(k) = 0. Calculate k.
-1, 1
Find i such that 45 + 10 - 192*i**2 + 60*i + 197*i**2 = 0.
-11, -1
Let k(n) = -n**5 - 3*n**4 + 5*n**3 - n**2 + 4*n - 4. Let o(s) = s**4 - s**3 - s + 1. Let h(a) = -k(a) - 4*o(a). Factor h(g).
g**2*(g - 1)**2*(g + 1)
Factor 0*m - 8/3*m**3 - 28/3*m**4 + 0 + 4/3*m**2 - 16/3*m**5.
-4*m**2*(m + 1)**2*(4*m - 1)/3
Suppose -2*o = -4*o. Let r be -9 + 12 - (1 + o). Solve 2/3*k**r + 2/9 - 2/9*k**3 - 2/3*k = 0.
1
Find x such that -2*x - 2*x - 5*x**3 - 2*x + x + 10*x**2 = 0.
0, 1
Let -1/6*g**2 + 1/3*g - 1/6 = 0. Calculate g.
1
Determine r so that r**3 + 15*r**2 + 6*r**2 - 22*r**2 = 0.
0, 1
Solve -2/7*h**2 - 32/7 + 16/7*h = 0 for h.
4
Let r = -11/5 - -4. Suppose 3/5*v**3 + r*v + 3/5 + 9/5*v**2 = 0. What is v?
-1
Let t be (-1)/((-2)/((-48)/(-2))). Let g = t + -12. Solve 1/2*m**2 + 0*m + g = 0.
0
Let u(o) be the first derivative of -o**6/27 + 2*o**5/9 - o**4/2 + 14*o**3/27 - 2*o**2/9 + 6. Factor u(g).
-2*g*(g - 2)*(g - 1)**3/9
Let i(n) be the second derivative of n**4/12 + n**3/2 - 9*n**2/2 + 10*n. Let f be i(-5). Solve -1/3*b**2 - 2/3*b + f = 0 for b.
-3, 1
Let w(l) = 3*l**2 - 9. Let j be w(2). Suppose 0 - 2/3*k**2 + 0*k - 2/3*k**4 + 4/3*k**j = 0. Calculate k.
0, 1
Let p be ((-2)/(-16))/(69/228). Let h = p + 2/23. Find r, given that -1/2*r**2 - h*r**3 + 0 + 1/2*r + 1/2*r**4 = 0.
-1, 0, 1
Let d(g) be the second derivative of g**4/12 - 2*g**3/3 + 3*g**2/2 - 11*g. Let u be d(3). Factor -2/5*z**4 + 0 - 4/5*z**3 - 2/5*z**2 + u*z.
-2*z**2*(z + 1)**2/5
Let z(u) be the third derivative of -1/660*u**6 + 0*u - 4*u**2 - 1/110*u**5 + 0*u**4 + 0 + 0*u**3. Factor z(k).
-2*k**2*(k + 3)/11
Factor -1/2 - 1/3*i**2 - 7/6*i.
-(i + 3)*(2*i + 1)/6
Let u(s) = -s**3 - 3*s**2 - s. Let y be u(-3). Find v such that -3*v + 2 + 0 - 4 - 4 + y*v**2 = 0.
-1, 2
Let a(w) be the first derivative of -w**6/12 - 3*w**5/10 - w**4/4 + 12. Factor a(o).
-o**3*(o + 1)*(o + 2)/2
Let o(v) be the second derivative of -v**7/105 - v**6/25 - v**5/25 + v**4/15 + v**3/5 + v**2/5 + 6*v. Find n such that o(n) = 0.
-1, 1
Solve 14/5*k**4 - 2/5*k**5 + 34/5*k**2 - 34/5*k**3 - 12/5*k + 0 = 0.
0, 1, 2, 3
Let u = 27 - 25. Let b(r) be the first derivative of -1/6*r**3 + 0*r - 3/10*r**5 - 1/12*r**6 - 3/8*r**4 + u + 0*r**2. Factor b(d).
-d**2*(d + 1)**3/2
Let q(l) be the first derivative of -l**8/672 - l**7/210 - l**6/240 + l**2 + 4. Let x(v) be the second derivative of q(v). Let x(y) = 0. Calculate y.
-1, 0
Suppose -15 = -12*f + 9*f. Let v(g) be the second derivative of 7/36*g**4 + g + 1/18*g**3 + 2/15*g**f - 8/45*g**6 + 0*g**2 + 0. Factor v(i).
-i*(i - 1)*(4*i + 1)**2/3
Let o(u) be the second derivative of 5*u**4/6 + 5*u**3/2 + 20*u. What is c in o(c) = 0?
-3/2, 0
Let n(m) be the first derivative of m**4/8 - m**3/6 - m**2/2 + 4. Factor n(u).
u*(u - 2)*(u + 1)/2
Let d(w) be the second derivative of -w**9/756 + w**8/1680 - w**3/6 - w. Let y(r) be the second derivative of d(r). Factor y(h).
-h**4*(4*h - 1)
Let h be 3*6/9 + 2. Let d be (-2)/(-5) - 4/10. Determine u so that d*u**3 + u**2 - u + u**3 + u**h - 2*u**2 = 0.
-1, 0, 1
Let b(t) = -t**2 + 11*t - 4. Let x be b(10). Suppose -4*z + 4*o + 20 = 0, 2*o = 2*z - x*z + 2. Find p such that -5*p**3 + 9*p**4 + p**2 - 6*p**3 + p**z = 0.
0, 2/9, 1
Let b(x) be the first derivative of -4*x**2 - 20/3*x**3 + 0*x + 3 - 4*x**4 - 4/5*x**5. Factor b(v).
-4*v*(v + 1)**2*(v + 2)
Determine b so that -12 + 30*b + 6*b**4 - 3/2*b**5 - 3/2*b**3 - 21*b**2 = 0.
-2, 1, 2
Let w(b) = 3*b**3 - 9*b**2 + 9*b - 7. Let z(h) = -7*h**3 + 19*h**2 - 17*h + 15. Let f(u) = -15*w(u) - 6*z(u). Factor f(c).
-3*(c - 5)*(c - 1)**2
Let n(u) = u + 3. Let a be n(0). Find s such that -15*s**2 - 62 - a*s + 62 = 0.
-1/5, 0
Let i(s) be the third derivative of s**8/70560 - s**6/2520 + s**5/20 - s**2. Let r(d) be the third derivative of i(d). Factor r(f).
2*(f - 1)*(f + 1)/7
Let b(j) = -j**2 - 8*j + 1. Let i be b(-8). Determine v, given that 2*v**2 - 3*v**3 - 2*v - i + v**3 + v**5 - 2*v**4 + v**4 + 3*v = 0.
-1, 1
Factor 0 + 2/7*y**5 + 0*y**4 - 4/7*y**2 - 6/7*y**3 + 0*y.
2*y**2*(y - 2)*(y + 1)**2/7
Let d = -10 + 12. Let f(g) be the second derivative of 0 - 1/42*g**4 - 1/70*g**5 + 0*g**d + 1/21*g**3 + 1/105*g**6 - 3*g. Find m, given that f(m) = 0.
-1, 0, 1
Suppose -4*s = 5*x - 9*s, 0 = -2*x + 5*s - 6. Let b = -1/150 + 401/150. Solve -8/3*z + 2/3*z**4 + x*z**2 + b*z**3 - 8/3 = 0 for z.
-2, -1, 1
Let k(t) be the first derivative of t**3/27 + 4. Let k(m) = 0. Calculate m.
0
Let v(n) = n**3 - 13*n**2 - 4. Let o be v(13). Let f be (76/(-24) - -3)*o. Suppose -2/3*i**3 + 2/3*i + f*i**4 - 2/3*i**2 + 0 = 0. Calculate i.
-1, 0, 1
Let s(d) be the third derivative of -d**5/20 + d**4/2 + 13*d**2. Factor s(i).
-3*i*(i - 4)
Let r(z) = -6*z**3 - 30*z**2 - 53*z - 19. Let t(x) = 21*x**3 + 105*x**2 + 186*x + 66. Let l(m) = 18*r(m) + 5*t(m). Determine p so that l(p) = 0.
-2, -1
Suppose 18 = y + y - 3*l, 3*y - 2*l = 22. Let i(j) be the first derivative of 0*j + 1/21*j**y + 0*j**2 - 2 - 2/21*j**3 - 1/14*j**4 + 2/35*j**5. Factor i(r).
2*r**2*(r - 1)*(r + 1)**2/7
Let o(x) = -2*x**2 + 4*x. Let y(f) = -f**2 + 2*f. Suppose -2 = 4*r + 34. Let n(h) = r*y(h) + 4*o(h). Solve n(b) = 0 for b.
0, 2
Factor 3*f**3 + 1 - 15*f - 6 + 14 + 3*f**2.
3*(f - 1)**2*(f + 3)
Let q = 69 + -64. Let l(b) be the second derivative of -1/15*b**4 + 1/50*b**q - 3*b + 0 + 1/15*b**3 + 0*b**2. What is x in l(x) = 0?
0, 1
Let f(t) = t**3 - t**2 - t - 1. Let n(v) = v**3 - 2*v**2 - 2*v - 3. Let i(s) = -5*f(s) + 2*n(s). Let c be i(-1). Factor 2/9*x**c - 2/9 + 0*x.
2*(x - 1)*(x + 1)/9
Let i(n) be the third derivative of 0 + 4/15*n**3 + 0*n + 1/150*n**5 + 1/15*n**4 + n**2. Find l such that i(l) = 0.
-2
Suppose 2*r - 30 = -2*i, -5*r + 5 = -5. Suppose -x + i = 5*c, -4*c + 0*x = 3*x - 17. Solve -2/9 + 4/9*a - 2/9*a**c = 0 for a.
1
Let u = 448/39 - 15/13. Let i = 11 - u. Factor i + 1/3*z**2 + z.
(z + 1)*(z + 2)/3
Let u(d) be the third derivative of 0*d**4 + 0*d**7 - 3*d**2 + 0*d**3 + 0*d - 1/540*d**6 + 1/1512*d**8 + 0 + 0*d**5. Determine b so that u(b) = 0.
-1, 0, 1
Let m(w) = 12*w + 98. Let n be m(-8). Solve -1 + 1/4*r**4 - 3/4*r**2 + n*r - 1/2*r**3 = 0 for r.
-2, 1, 2
Let m = 339/682 - -1/341. Factor -3/2*p**2 + 1/2*p**3 + 3/2*p - m.
(p - 1)**3/2
Let d(b) be the third derivative of 0 + 1/18*b**3 + 0*b + 1/120*b**6 - b**2 + 7/180*b**5 + 5/72*b**4. What is s in d(s) = 0?
-1, -1/3
Factor 1/5*g**4 + 0*g**2 + 0 - 1/5*g**3 + 0*g.
g**3*(g - 1)/5
Let u(n) = 120*n**2 - 425*n - 35. Let l(q) = -7*q**2 + 25*q + 2. Let g(x) = -35*l(x) - 2*u(x). Solve g(r) = 0.
0, 5
Let h(s) be the third derivative of s**5/30 + s**4/12 - 2*s**3/3 - 17*s**2. Factor h(u).
2*(u - 1)*(u + 2)
Suppose 0 = -0*r + r - 4. Solve 4*l + 3 + 3*l**2 - 5 + r - l**2 = 0 for l.
-1
Let d = 944/7 - 134. Factor -2/7*w**2 - 8/7*w - d.
-2*(w + 1)*(w + 3)/7
Let s be 11/(-5) - (-1)/(5/15). Factor 4/5*r**2 - 2/5*r - s + 2/5*r**3.
2*(r - 1)*(r + 1)*(r + 2)/5
Let z(s) be the third derivative of -s**5/420 - s**4/84 - s**3/42 + 8*s**2. Determine k, given that z(k) = 0.
-1
Let h(s) be the first derivative of 3*s**5/5 - 6*s**4 + 24*s**3 - 48*s**2 + 48*s - 23. What is l in h(l) = 0?
2
Let k be 3/((-126)/48)*(-7)/3. Let 2/3*j**4 + 2*j**2 - 8/3 + k*j - 8/3*j**3 = 0. What is j?
-1, 1, 2
Let 7*y - 55*y**2 + 3 + 55*y**3 - 4*y + 7 - 15*y**4 + 2*y = 0. Calculate y.
-1/3, 1, 2
Suppose -1/2 + 1/2*u**2 + 0*u = 0. What is u?
-1, 1
Let k = 13 - 8. Let y(r) = -3*r**2 + 7*r + 1. Let n(q) = 2*q**2 - 6*q. Let s(h) = k*n(h) + 4*y(h). Factor s(j).
-2*(j - 1)*(j + 2)
Let p = 61 - 43. Let r = p + -16. Factor 2/5*m**r - 2/5*m - 4/5.
2*(m - 2)*(m + 1)/5
Let y(o) be the first derivative of 15*o**4/4 + 8*o**3 + 3*o**2/2 - 6*o + 11. Factor y(a).
3*(a + 1)**2*(5*a - 2)
Let d be 2/7 - (-24)/14. Let y = 10 + -5. Solve 2*b**4 + d*b**3 - y*b**4 + b**4 + 3*b**4 