) be the third derivative of -1/5*i**3 + 0*i - 1/40*i**h + 1/100*i**5 + 0 - 11*i**2. Let z(g) = 0. Calculate g.
-1, 2
Suppose 4*z + 11 - 43 = -4*p, -3*z - 4*p + 20 = 0. Let n be 6/(-8) + 4 + (-39)/z. Factor 2/7*l**4 + 0*l + n + 2/7*l**2 + 4/7*l**3.
2*l**2*(l + 1)**2/7
Let c(h) be the second derivative of -h**5/10 + 3*h**4 + h**3/3 - 18*h**2 - 114*h. Factor c(z).
-2*(z - 18)*(z - 1)*(z + 1)
Let q(s) be the first derivative of 20 + 0*s - 2/57*s**3 + 3/19*s**2. Factor q(r).
-2*r*(r - 3)/19
Let t(a) be the first derivative of -a**4/2 - 10*a**3/3 - 7*a**2 - 6*a - 50. Factor t(d).
-2*(d + 1)**2*(d + 3)
Solve 2/3*h**2 + 11/3*h - 4 - 1/3*h**3 = 0 for h.
-3, 1, 4
Suppose 0*t + 32 = -c + 2*t, 173 = -4*c - t. Let k be 4/14 - 12/c. Let k*n**3 + 10/7*n**4 - 8/7*n - 2/7 + 4/7*n**5 - 8/7*n**2 = 0. What is n?
-1, -1/2, 1
Let v(z) = -3*z**2 - 90*z - 675. Let t(d) = -3*d**2 - 90*d - 675. Let o(q) = -4*t(q) + 3*v(q). Determine c so that o(c) = 0.
-15
Let l(y) be the third derivative of y**8/8960 + y**7/3360 - y**6/192 + 3*y**5/160 - 5*y**4/24 - 23*y**2. Let k(r) be the second derivative of l(r). Factor k(u).
3*(u - 1)**2*(u + 3)/4
Let l be ((-38)/12 - (-24)/36)*32/(-160). Let 1/2*c**2 + l - c = 0. Calculate c.
1
Let o(z) = 13*z + 900. Let p be o(-69). Solve 0*m**p + 9/2*m**2 + 9/4 - 3/4*m**4 + 6*m = 0 for m.
-1, 3
Let h(k) be the first derivative of 1/6*k**4 + 4/3*k**3 + 4*k**2 - 4 + 2*k. Let z(v) be the first derivative of h(v). Determine n, given that z(n) = 0.
-2
Let g(f) = 23*f**4 + 9*f**3 - 7*f**2 - 4*f. Let p(b) = 2*b**4 + b**3. Let h(w) = 2*g(w) - 22*p(w). Suppose h(i) = 0. What is i?
-1, 0, 4
Let g(z) = -11*z**2 + 36*z + 324. Let j(v) = 13*v**2 - 36*v - 324. Let i(x) = 7*g(x) + 6*j(x). Factor i(h).
(h + 18)**2
Let g(k) = -k**2 + 1 - k - 3*k - k. Let l be g(-4). Let 5*h + 7*h**3 - 9*h**2 - 8*h + 0*h**3 + l*h**3 = 0. What is h?
-1/4, 0, 1
Suppose -2*i + 22 = 3*d, -2*i + 6 = -0*i - d. Suppose -4*t + 16 = -l - l, 42 = i*t + 3*l. Factor 2*b**3 - 15*b**4 + 5*b**4 + t*b**5 - 6*b**3.
2*b**3*(b - 2)*(3*b + 1)
Solve -95*h**2 - 16*h + 40*h**2 - 4*h**4 + 23*h**2 - 20*h**3 = 0 for h.
-2, -1, 0
Suppose 5*z = -2*c + 7*c + 10, c - 16 = -5*z. Let n(v) = 2*v**2 - v - 3. Let q(b) = b**2 - 1. Let h(r) = z*q(r) - n(r). Solve h(p) = 0 for p.
-1, 0
Let x be (-22)/88 - (-146)/(-24) - -7. Factor 0 - 2/3*b**2 - x*b.
-2*b*(b + 1)/3
Let j = -15568/9 - -1730. Let j*b**2 - 11/9*b**3 + 16/9*b**4 + 0 - 7/9*b**5 + 0*b = 0. Calculate b.
0, 2/7, 1
Let m(v) = v**3 - 47*v**2 - 134*v. Let q(y) = -4*y**3 + 143*y**2 + 401*y. Let k(f) = -11*m(f) - 4*q(f). Suppose k(n) = 0. Calculate n.
-2, 0, 13
Let b(y) be the first derivative of y**5/15 + y**4/3 + 4*y**3/9 - 16*y - 1. Let j(o) be the first derivative of b(o). Factor j(c).
4*c*(c + 1)*(c + 2)/3
Let v = -1322/19 - -4270/57. Factor v*l + 2/9*l**2 + 32.
2*(l + 12)**2/9
Let s(z) be the second derivative of 3*z**5/20 - 201*z**4/4 + 13467*z**3/2 - 902289*z**2/2 + 10*z + 8. Factor s(i).
3*(i - 67)**3
Factor 6/11*w - 2/11*w**2 + 8/11.
-2*(w - 4)*(w + 1)/11
Let p be 3/6*(-1 + 1). Let z be (-80)/(-8)*(-1 + (-4)/(-3)). Factor 2/3*q - z*q**2 + p.
-2*q*(5*q - 1)/3
Let l = 12942 - 38821/3. Factor -2 + 1/3*o**2 - l*o.
(o - 6)*(o + 1)/3
Let q(o) be the third derivative of -o**6/24 + o**5/6 + 275*o**4/24 - 140*o**3/3 + 146*o**2. Factor q(f).
-5*(f - 8)*(f - 1)*(f + 7)
Let p(r) be the first derivative of -r**6/24 - 41*r**5/10 - 2185*r**4/16 - 4333*r**3/3 + 5194*r**2 - 5488*r + 292. Factor p(o).
-(o - 1)**2*(o + 28)**3/4
Let m(u) = 31*u**2 - u - 19. Let z(k) = 9 - 4*k**2 + 0 - 11*k**2. Suppose 2*f - 193 + 167 = 0. Let w(q) = f*z(q) + 6*m(q). Factor w(h).
-3*(h + 1)*(3*h - 1)
Let a = 8729/646 - 4/323. Factor a + 3/2*v**2 + 9*v.
3*(v + 3)**2/2
Let a(b) = -21*b - 10. Let g be a(-1). Determine t, given that -t**3 + g + t**4 - 11 = 0.
0, 1
Suppose -11*m - 548 = -680. Suppose m*i**2 + 27/4 - 18*i = 0. Calculate i.
3/4
Let y(w) be the third derivative of -w**5/480 + 23*w**4/64 - 17*w**3/12 + 5*w**2 + 28*w. Factor y(l).
-(l - 68)*(l - 1)/8
Let o(r) be the first derivative of -r**5 + 10*r**3 - 20*r**2 + 15*r + 64. Suppose o(f) = 0. What is f?
-3, 1
Let g(t) = 160*t**2 - 2050*t - 65. Let w(o) = -5*o**2 + 64*o + 2. Let x(k) = -2*g(k) - 65*w(k). Factor x(f).
5*f*(f - 12)
Suppose 52 = 5*c + 2*s, -5*c + 2*s = s - 49. Suppose c*l**2 - l + 4*l + 4*l + 1 = 0. Calculate l.
-1/2, -1/5
Suppose -42 = -4*m + 2. Let i(r) = r**2 + 14*r - 4. Let p(w) = w**2 + 7*w - 2. Let y(c) = m*p(c) - 6*i(c). Let y(d) = 0. Calculate d.
2/5, 1
Let n(r) be the first derivative of 1/3*r + 0*r**2 + 1 - 1/9*r**3. Factor n(j).
-(j - 1)*(j + 1)/3
Let g = -18 - -18. Suppose 0 = -2*u - g*p - 2*p + 18, -4*p = -5*u + 9. Factor -4*r**5 + 9*r**u + 2*r**2 - 7*r**5 + 8*r**4 - 2*r + 6*r**2 - 12*r**3.
-2*r*(r - 1)**4
Let d = -28 - -25. Let t be ((-12)/126)/(d*6/27). Find y, given that 0 + t*y**2 - 1/7*y**3 + 0*y = 0.
0, 1
Let s(w) be the second derivative of 1/3*w**2 + 0 - 1/27*w**4 - 2/45*w**5 + 26*w + 4/27*w**3 - 1/135*w**6. Determine h, given that s(h) = 0.
-3, -1, 1
Let r be (190/(-20))/(1/(-2)). Suppose j - 3*p = -p - 8, 5*p - r = 3*j. Factor 3*h + h**2 + 2*h - 2*h + j*h**2.
3*h*(h + 1)
Suppose -3993*d = -3958*d - 105. Find i such that 5/2 + 1/2*i**2 - d*i = 0.
1, 5
Let j(n) = 16*n + 51. Let c be j(-3). Suppose 13/4*k**2 + 1/4*k**4 + 1 + 3/2*k**c + 3*k = 0. What is k?
-2, -1
Let l(j) = -3*j**3 + 3*j**2 + 3*j + 6. Let x(g) = g**2 - 2*g. Let r(z) = -l(z) - 9*x(z). Solve r(k) = 0 for k.
1, 2
Let y(z) = 2*z - 26. Let p be y(14). Determine x, given that 3*x**2 + 4*x**3 + p*x**2 - 3*x**2 - 5*x**3 = 0.
0, 2
Suppose 161*u - 87*u + 14 = 81*u. Find v such that -2/9*v**u + 8/9*v + 10/9 = 0.
-1, 5
Suppose -801 = 3*s - 12*s. Let z = s - 89. Find g, given that 0*g**2 + 2/3*g**3 + z*g**4 - 1/3*g + 0 - 1/3*g**5 = 0.
-1, 0, 1
Let k(x) be the second derivative of x**7/42 + x**6/6 + x**5/20 - 17*x**4/12 - 11*x**3/3 - 4*x**2 - 31*x - 1. Factor k(a).
(a - 2)*(a + 1)**3*(a + 4)
Let s = 1/1351 + 53/2895. Let b(p) be the third derivative of p**6 - s*p**7 + 8*p**2 + 1/15*p**5 + 0*p - 1/3*p**8 + 0*p**3 + 0 - 1/3*p**4. Solve b(o) = 0.
-1, -2/7, 0, 1/4, 1
Let n = 39 - 36. Let t(y) be the first derivative of 3*y + 6 + 1/9*y**n + y**2. Factor t(k).
(k + 3)**2/3
Let t(d) be the first derivative of -4*d**4/9 + 2*d**3/3 + 2*d**2/3 - 13*d + 10. Let w(h) be the first derivative of t(h). Solve w(i) = 0 for i.
-1/4, 1
Let v be ((38 - 33) + 18/(-4))/1. Let x(k) be the second derivative of 5*k + 0 - v*k**2 - 5/24*k**4 + 7/12*k**3. Determine l so that x(l) = 0.
2/5, 1
Let g be (-41)/(-82)*(-3 - -9). Let k be ((-6)/(-18))/((-2)/(-12)). Factor 2/3*y**g - 8/3*y + 8/3 - 2/3*y**k.
2*(y - 2)*(y - 1)*(y + 2)/3
Let t(f) = -32*f**4 - 21*f**3 - 38*f**2 + 21*f + 7. Let z(p) = -7*p**4 - 5*p**3 - 9*p**2 + 5*p + 2. Let b(g) = 4*t(g) - 18*z(g). Find k, given that b(k) = 0.
-1, 1, 4
Let z(l) be the second derivative of -l**4/30 - 3*l**3 + 46*l**2/5 - l + 8. Factor z(q).
-2*(q - 1)*(q + 46)/5
Factor 9*a**3 - 10 + 6*a**3 - 32*a**2 + a**2 + 45*a - 19*a**2.
5*(a - 2)*(a - 1)*(3*a - 1)
Let y(j) be the second derivative of 0*j**2 + 1/78*j**4 + 0 - j + 1/39*j**3. Factor y(r).
2*r*(r + 1)/13
Suppose 4*j = -0*j + 4*c - 12, 2*c - 20 = -5*j. Let q be 6*(-8)/6*(-3)/27. Factor 0 - q*o - 2/9*o**3 + 8/9*o**j.
-2*o*(o - 2)**2/9
Let k(u) = -15*u**4 + 45*u**3 - 55*u**2 + 40*u - 5. Let a(s) = -8*s**4 + 23*s**3 - 27*s**2 + 20*s - 2. Let b(h) = -5*a(h) + 3*k(h). Factor b(w).
-5*(w - 1)**4
Let a(s) = 15*s**2 + 295*s + 295. Let h(v) = -8*v**2 - 147*v - 148. Let g(m) = -3*a(m) - 5*h(m). What is c in g(c) = 0?
-29, -1
Let j(x) be the first derivative of -x**6/660 - 2*x**5/165 - 5*x**4/132 - 2*x**3/33 + 15*x**2/2 + 13. Let z(g) be the second derivative of j(g). Factor z(n).
-2*(n + 1)**2*(n + 2)/11
Let w be 3 - 0 - ((-3404)/(-1449) - (-4)/18). Factor 9/7 + 12/7*k + w*k**2.
3*(k + 1)*(k + 3)/7
Let o(x) be the third derivative of 3*x**5/4 + 385*x**4/6 + 170*x**3/3 - 730*x**2. Let o(l) = 0. Calculate l.
-34, -2/9
Suppose 2*j + 2*d + 1 = 7, 0 = -2*j - 4*d. Suppose -16 = -5*x + 2*u + j, -5*x + 5*u + 25 = 0. Solve -3/5*p**2 + 6/5*p**3 - 3/5*p**x + 0 + 0*p = 0.
0, 1
Let y(g) be the first derivative of -1/3*g**4 + 2*g**2 - 2/9*g**3 + 3*g - 6 + 1/15*g**5. Suppose y(s) = 0. Calculate s.
-1, 3
Let 