2)
Let m(k) be the third derivative of k**5/240 - k**4/32 + k**3/12 - 8*k**2. Suppose m(o) = 0. What is o?
1, 2
Let k be 22/154 - (-1)/7. Determine l, given that k + 6/7*l**4 - 4/7*l - 8/7*l**2 + 4/7*l**3 = 0.
-1, 1/3, 1
Let r(f) = -f**2 + f + 1. Let d(v) = 11*v - 11*v**2 + v**2 + 0*v**2 + 6 + 3. Let l(b) = 2*d(b) - 18*r(b). Determine s, given that l(s) = 0.
0, 2
Let b(k) = -1189*k. Let f be b(1). Let s = -8307/7 - f. What is a in -s*a**3 - 2/7*a**2 - 32/7*a**4 + 0 + 0*a = 0?
-1/4, 0
Let m be -3 + (6 - 6/(-3)). Suppose 2*i**3 - 3*i**5 - 3*i**m - 4*i**3 + 4*i**4 + 4*i**5 = 0. Calculate i.
0, 1
Let r(s) be the first derivative of -2/3*s**2 + 14/9*s**3 + 0*s - 6 - 5/6*s**4. Factor r(o).
-2*o*(o - 1)*(5*o - 2)/3
Let f(s) = 4*s**3 - 3*s**2 + 3*s + 1. Let w(o) = -9*o**3 + 6*o**2 - 7*o - 1. Let v(k) = 14*f(k) + 6*w(k). Factor v(q).
2*(q - 2)**2*(q + 1)
Let x = -95/9 + 98/9. Factor 2/3 - 1/3*v**2 - x*v.
-(v - 1)*(v + 2)/3
Suppose x = 11*x. Factor -2/9 + x*v**2 + 2/9*v**4 - 4/9*v + 4/9*v**3.
2*(v - 1)*(v + 1)**3/9
Let f be ((-1)/3)/(1/(-15)). Let g be 8/f - 2/2. Suppose 9/5*n**3 + g*n**4 + 9/5*n**2 + 3/5*n + 0 = 0. Calculate n.
-1, 0
Let o(i) = i**3 - 6*i**2 + i + 6. Let n be o(6). Suppose -q - n = -4*q. Determine z, given that 4/3*z**2 - 14/3*z**3 + 0 + 2/3*z + 8/3*z**q = 0.
-1/4, 0, 1
Let l(j) be the third derivative of j**8/30240 - j**7/7560 - j**6/540 - j**5/20 - 2*j**2. Let q(d) be the third derivative of l(d). Factor q(z).
2*(z - 2)*(z + 1)/3
Let b(a) be the first derivative of -10*a**6/3 - 32*a**5/5 + 9*a**4 + 32*a**3/3 - 8*a**2 - 2. Suppose b(g) = 0. Calculate g.
-2, -1, 0, 2/5, 1
Let o(h) be the second derivative of 1/90*h**6 - 7*h + 1/15*h**5 + 0 + 1/6*h**4 + 2/9*h**3 + 1/6*h**2. What is d in o(d) = 0?
-1
Let j = -3 + 5. Suppose 4*k + j = 5*k. Find o such that 3*o**5 + o - o**4 + 2*o**5 - 1 - 2*o**3 - 4*o**5 + 2*o**k = 0.
-1, 1
Let q(l) be the second derivative of l**7/840 + l**6/240 - l**4/3 + 4*l. Let o(c) be the third derivative of q(c). Solve o(h) = 0 for h.
-1, 0
Let z(o) be the second derivative of 0 - 1/12*o**4 - 4*o + 0*o**2 + 1/12*o**3. Find t such that z(t) = 0.
0, 1/2
Let i(t) be the third derivative of 3*t**5/50 + t**4/5 + 4*t**3/15 + 4*t**2. Factor i(u).
2*(3*u + 2)**2/5
Suppose -8*m + 9*m = 12. Suppose -4*n = -s - m, -2*n = -2*s - 2*s + 8. Factor 0*f + 0 + f**3 + 7/5*f**s - 2/5*f**2.
f**2*(f + 1)*(7*f - 2)/5
Determine t, given that -2/15*t**2 + 0*t - 2/15*t**5 + 2/15*t**4 + 2/15*t**3 + 0 = 0.
-1, 0, 1
Let g(q) be the third derivative of q**8/30240 - q**7/3780 - q**5/20 + 5*q**2. Let f(z) be the third derivative of g(z). Factor f(s).
2*s*(s - 2)/3
Let w be (-6)/(-5 - 3/(-6)). Let -1/3*r**3 + 0 - 4/3*r + w*r**2 = 0. Calculate r.
0, 2
Let c be (94/(-12))/((-4)/(-16)). Let a = -31 - c. Factor 1/3 + a*l**2 + 2/3*l.
(l + 1)**2/3
Let b(l) be the first derivative of l**5/10 - 9*l**4/8 + 5*l**3 - 11*l**2 + 12*l + 6. Factor b(t).
(t - 3)*(t - 2)**3/2
Let t(v) = 8*v**2 + 6*v - 1. Let r be t(-6). Let z = -1251/5 + r. Factor -4/5 - 16/5*d**2 + z*d**4 - 2/5*d**5 + 4/5*d**3 + 14/5*d.
-2*(d - 1)**4*(d + 2)/5
Let a(n) be the third derivative of n**8/504 + n**7/63 + 7*n**6/180 + n**5/30 + 9*n**2. Let a(l) = 0. Calculate l.
-3, -1, 0
Let h(n) be the third derivative of -n**6/30 - 2*n**5/15 - n**4/6 - 6*n**2. Suppose h(b) = 0. What is b?
-1, 0
Let g(o) be the first derivative of 0*o + 0*o**3 - 2/35*o**5 - 4 + 0*o**4 + 0*o**2. Factor g(y).
-2*y**4/7
Let h(k) = -8*k**3 + 6*k**2 - 5. Let p(d) = 9*d**3 - 6*d**2 + 6. Let z(r) = -6*h(r) - 5*p(r). Factor z(v).
3*v**2*(v - 2)
Let o(x) be the first derivative of 3*x - 2*x**3 + 0*x**2 - 6 + 0*x**4 + 3/5*x**5. Let o(r) = 0. What is r?
-1, 1
Find x, given that -1/5*x**4 + 0 + 1/5*x**3 + x**2 + 3/5*x = 0.
-1, 0, 3
Let c(q) = -7*q**2 - 3*q. Let b(r) = -4*r**2 - 2*r. Let v(h) = -5*b(h) + 3*c(h). Factor v(m).
-m*(m - 1)
Suppose 2*u = -3*u. Let q(g) be the third derivative of u*g**3 - 2*g**2 - 1/6*g**4 + 0 + 0*g - 1/30*g**5. Find l, given that q(l) = 0.
-2, 0
Let j be (15/10)/(2/(-4)). Let k be j + 3 + (-3)/(-6). Factor -1/2 - 3/2*z - k*z**3 - 3/2*z**2.
-(z + 1)**3/2
Let g be (-8 + (-3 - -3))/(-2). Let h(a) be the second derivative of 1/6*a**g + 0*a**2 + 0*a**3 + 0 - 2*a. Solve h(s) = 0.
0
Suppose 0 = 20*x - 21*x + 4. Let j(a) be the second derivative of 1/21*a**3 + 0*a**2 + 2*a + 1/42*a**x + 0. Determine o, given that j(o) = 0.
-1, 0
Let h(n) be the third derivative of 1/30*n**3 + 0*n + 0 + 1/30*n**4 + 1/1050*n**7 + 1/50*n**5 + 5*n**2 + 1/150*n**6. Solve h(x) = 0 for x.
-1
Let v be (-3)/(-4) + (3 + -2)/(-12). Factor 4/3*s + 2/3*s**2 + v.
2*(s + 1)**2/3
Let o(c) = c**3 + 6*c**2 - 3*c - 8. Let h be o(-6). Determine n, given that 0*n**2 - 14 + 12 - 8*n**2 + h*n = 0.
1/4, 1
Let t(j) be the first derivative of 5/9*j**3 + 0*j - 1/6*j**2 - 3 - 1/3*j**4. Find o such that t(o) = 0.
0, 1/4, 1
Let l = -967 - -970. Factor -7/8*s**2 + 1/8 + 1/2*s**l + 1/4*s.
(s - 1)**2*(4*s + 1)/8
Suppose 2*j = 13 - 1. Let a(d) be the first derivative of 0*d**5 + 0*d + 0*d**3 - 1 + 1/6*d**j - 1/2*d**4 + 1/2*d**2. Factor a(m).
m*(m - 1)**2*(m + 1)**2
Let k = 94 + -46. Factor 2*o**2 - 62*o**2 + 45*o - k + 83*o - 36*o**3.
-4*(o + 3)*(3*o - 2)**2
Let b(u) be the first derivative of u**4 + 4/3*u**3 - 6/5*u**5 + 2*u + 3 + 1/3*u**6 - 3*u**2. Find n, given that b(n) = 0.
-1, 1
Let y(b) be the first derivative of b**8/168 - b**7/35 + b**6/30 - b**2 - 1. Let f(x) be the second derivative of y(x). Determine u so that f(u) = 0.
0, 1, 2
Suppose 3*n - 2*m = -m + 16, -n - 16 = 5*m. Find s such that 0*s**2 + s**n + 0*s**3 - 2*s**3 + s**2 = 0.
0, 1
Suppose 0 = -5*h - 0*h - 30. Let q(b) be the first derivative of -b**4 + b**3/3 - 3*b**2/2 + 1. Let z(x) = x**3 + x. Let u(p) = h*z(p) - 2*q(p). Factor u(v).
2*v**2*(v - 1)
Factor 9*d**4 + 2*d**5 + 2*d**2 + 0*d**2 + 5*d**3 - d**5 - 5*d**4.
d**2*(d + 1)**2*(d + 2)
Let b be 2/(-3)*(-54)/18. Let w(p) be the third derivative of 0 + 0*p**3 + 0*p + 1/630*p**7 + 0*p**5 - 1/360*p**6 + 0*p**4 + 3*p**b. What is m in w(m) = 0?
0, 1
Let t(z) be the third derivative of z**5/480 + z**4/96 - z**3/16 - 6*z**2. Factor t(v).
(v - 1)*(v + 3)/8
Let u(n) be the third derivative of 1/35*n**7 + 1/12*n**4 + 0*n**3 + 3*n**2 - 1/60*n**6 - 1/10*n**5 + 0*n + 0. Suppose u(o) = 0. What is o?
-1, 0, 1/3, 1
Let u(q) be the third derivative of 0*q + 0 - 1/60*q**4 - 4*q**2 + 1/150*q**5 - 1/15*q**3 + 1/300*q**6. Factor u(s).
2*(s - 1)*(s + 1)**2/5
Let d(a) = -5*a**2 + 7*a - 3. Let m(b) = -b**2 - 6*b + 6. Let n be m(-7). Let u(h) = -h**2 + h - 1. Let c(o) = n*d(o) + 3*u(o). Solve c(s) = 0.
0, 2
Find k, given that 3/4*k + 9/4*k**3 - 3/4*k**4 - 9/4*k**2 + 0 = 0.
0, 1
Let d(c) be the second derivative of c**5/120 - c**4/48 - c**2 - 4*c. Let t(l) be the first derivative of d(l). Suppose t(v) = 0. Calculate v.
0, 1
Let w = -36/55 + 16/11. Let -2/5 - 2/5*z**2 + w*z = 0. What is z?
1
Let n be ((-144)/32)/(6/(-1)). Let a be 3/(-7)*(-7)/2. Factor -n*r**3 + 0 - 3/4*r - a*r**2.
-3*r*(r + 1)**2/4
Let f(u) = -7*u**3 - 15*u**2 - 16*u - 8. Let c(g) = 3*g**3 + 7*g**2 + 8*g + 4. Let d(z) = -z + 10. Let k be d(5). Let s(a) = k*c(a) + 2*f(a). Factor s(y).
(y + 1)*(y + 2)**2
Determine a, given that -2/3*a**4 + 4/3*a + 0 - 4/3*a**3 + 2/3*a**2 = 0.
-2, -1, 0, 1
Let j = -3 - -3. Let -9*f + j*f**4 + 3*f**2 + 9*f**3 - 2*f**4 + 0*f**2 - 4*f**4 + 3 = 0. What is f?
-1, 1/2, 1
Let x(q) be the second derivative of -q**7/126 + q**6/15 - 13*q**5/60 + q**4/3 - 2*q**3/9 + 22*q. Factor x(w).
-w*(w - 2)**2*(w - 1)**2/3
Let u(t) = t**3 + t**2 - t. Let q(z) = z**4 - 3*z**3 - 4*z**2 + 3*z. Let j(c) = -q(c) - 3*u(c). Solve j(h) = 0 for h.
-1, 0, 1
Let v(p) be the third derivative of -1/48*p**4 + 0*p**3 + 4*p**2 + 0*p + 0 + 1/240*p**6 + 0*p**5. Determine k so that v(k) = 0.
-1, 0, 1
Suppose 9*a - 60 = 4*a. Let r = a - 35/3. Factor r*t + 0 + 1/3*t**2.
t*(t + 1)/3
Let d(j) be the third derivative of -2*j**2 + 0*j**3 - 1/60*j**6 + 0*j**4 + 0 + 0*j + 1/15*j**5. What is y in d(y) = 0?
0, 2
Let j be ((-2)/(-4))/(3/(-148)). Let x = j - -26. Factor 2/3*a**2 + 2/3 - x*a.
2*(a - 1)**2/3
Suppose -15 = 3*y + 2*g - 43, -3*y = 4*g - 26. Let c = y + -8. Let 2/9*r**c + 4/9*r + 0 = 0. What is r?
-2, 0
Let b(u) be the first derivative of -u**6/51 - 6*u**5/85 - 3*u**4/34 - 2*u**3/51 - 9. Determine r, give