tive of -7*h**6/120 - 9*h**5/10 + 79*h**4/24 - 3*h**3 + 122*h**2. Suppose g(b) = 0. Calculate b.
-9, 2/7, 1
Let d(h) be the third derivative of 0*h - 1/84*h**4 + 12*h**2 + 0 + 0*h**3 + 1/210*h**5. Factor d(z).
2*z*(z - 1)/7
Let k = 6870 - 48074/7. Suppose -4/7 + 20/7*g**2 - 6/7*g - k*g**4 + 6/7*g**5 + 0*g**3 = 0. What is g?
-1, -1/3, 1, 2
Let s(u) = 2*u**3 + 16*u**2 - 22*u. Let k(r) = 5*r**2 - r. Let v be k(-1). Let h(z) = -3*z**3 - 16*z**2 + 23*z. Let w(t) = v*h(t) + 7*s(t). Factor w(a).
-4*a*(a - 2)**2
Let c(y) be the first derivative of -13*y**4 + 76/3*y**3 + 12/5*y**5 - 12 - 22*y**2 + 8*y. Factor c(s).
4*(s - 2)*(s - 1)**2*(3*s - 1)
Let n be (-10)/(-84) - (35/546 - (-90)/(-390)). Find d, given that -n*d**3 + 0*d**2 + 0*d + 0 + 1/7*d**4 = 0.
0, 2
Let r(p) be the third derivative of p**7/70 - 11*p**6/40 + 27*p**5/20 - 25*p**4/8 + 4*p**3 + 13*p**2. Factor r(o).
3*(o - 8)*(o - 1)**3
Let c(q) be the second derivative of 7*q**5/15 - 208*q**4/9 - 40*q**3/3 - 55*q - 1. Factor c(o).
4*o*(o - 30)*(7*o + 2)/3
Let p(l) be the first derivative of -2*l**5/85 + 5*l**4/34 - 2*l**3/17 - 9*l**2/17 - 100. What is v in p(v) = 0?
-1, 0, 3
Let p be 38/(-20) + -1 - 6/(-2). Let n(w) be the first derivative of 0*w**2 - p*w**4 + 2/15*w**3 - 2/25*w**5 - 3 + 1/15*w**6 + 0*w. Factor n(g).
2*g**2*(g - 1)**2*(g + 1)/5
Let r(m) be the second derivative of -m**7/42 + 19*m**6/30 + 2*m - 274. Factor r(p).
-p**4*(p - 19)
Let u(d) = -78*d - 78. Let o(t) = t**2 + 158*t + 157. Let j(g) = -2*o(g) - 5*u(g). Factor j(m).
-2*(m - 38)*(m + 1)
Let n(x) be the second derivative of -x**3/6 + 3*x**2/2 + 10*x. Let f be n(1). Solve -z**4 - 56*z**5 - 4*z + 57*z**5 + 4*z - f*z**3 = 0.
-1, 0, 2
Suppose -o = -3*t + 2*t - 2, 0 = -3*t + 2*o - 1. Factor -7*z - 4*z**2 + 5*z**2 - t*z**4 + 8*z**2 + z.
-3*z*(z - 1)**2*(z + 2)
Let n(r) be the second derivative of r**5/20 + r**3/6 - 182*r. Let u(d) = -5*d - 5*d**3 + 18*d**2 + 25*d**3 + 15*d. Let y(a) = -6*n(a) + u(a). Factor y(f).
2*f*(f + 1)*(7*f + 2)
Let b be 3 - (5/(-25)*-35 - 4). Determine i, given that 1/4*i**2 + 3/2*i + b = 0.
-6, 0
Let t(l) be the third derivative of l**7/420 - l**6/180 + l**5/360 - 59*l**2. Factor t(c).
c**2*(c - 1)*(3*c - 1)/6
Suppose 9*v = 4*v - 60. Let g = v - -15. Let -3*p**2 - 8*p**g + 4*p - p**4 - 2*p**3 + 6*p**3 + 4 = 0. What is p?
-2, -1, 1
Factor 0*q + 60/7*q**2 - 2*q**4 - 134/7*q**3 + 0.
-2*q**2*(q + 10)*(7*q - 3)/7
Let h(d) = -d**4 + d - 2. Let q(u) = -25*u**4 + 80*u**3 - 145*u**2 + 90*u - 40. Let k(r) = -20*h(r) + q(r). What is j in k(j) = 0?
0, 1, 14
Let w(n) be the third derivative of 5*n**8/336 - 5*n**6/24 + 5*n**4/6 - 239*n**2. Determine u so that w(u) = 0.
-2, -1, 0, 1, 2
Suppose -256/7*x + 0 - 68/7*x**3 - 320/7*x**2 - 4/7*x**4 = 0. What is x?
-8, -1, 0
Let k(f) be the second derivative of f**5/20 - 2*f**4/3 + 2*f**3 + 154*f. Factor k(p).
p*(p - 6)*(p - 2)
Let l be 873/1035 - (-11)/(-253). Factor 12/5 + 4/5*q - 12/5*q**2 - l*q**3.
-4*(q - 1)*(q + 1)*(q + 3)/5
Let k(q) be the first derivative of 2/3*q - 1/2*q**2 - 2/9*q**3 + 1/3*q**4 - 22 + 0*q**5 - 1/18*q**6. Let k(f) = 0. Calculate f.
-2, -1, 1
Let i = -5 - -10. Suppose 3*m - i = 2*m. Factor 13*b**2 - b**4 - 2*b**3 + m*b**3 - 2*b**4 - 15*b - 4*b**2 + 6.
-3*(b - 1)**3*(b + 2)
Let w be 105/(-280) - (-54)/16. Let x(s) be the second derivative of -1/6*s**4 - w*s + 4*s**2 + 0 + 0*s**3. Factor x(o).
-2*(o - 2)*(o + 2)
Let x = 44336/5 - 8864. Factor x*o - 44/5*o**2 - 18/5*o**4 + 48/5*o**3 - 2/5.
-2*(o - 1)**2*(3*o - 1)**2/5
Suppose -12*u + 1912 = 280. Factor -273*d + 4 + u*d + 132*d + d**2.
(d - 4)*(d - 1)
Find w such that -350 - 2/7*w**2 + 20*w = 0.
35
Let j(t) be the first derivative of t**8/6720 - t**6/360 - 19*t**3/3 + 16. Let x(b) be the third derivative of j(b). Let x(n) = 0. What is n?
-2, 0, 2
Let k(g) = 4*g - 4 + 7 - 6*g**2 + g**3 + g. Let c be k(5). Factor 1 + 1 - 71*y**3 + 4*y**2 - 5*y + 70*y**c.
-(y - 2)*(y - 1)**2
Factor l**2 + 0*l**2 + l**5 + 43*l**3 - 42*l**3 - 5*l**4 + 20*l**2 - 18*l.
l*(l - 3)**2*(l - 1)*(l + 2)
Let j(g) be the second derivative of 3/5*g**5 + 1/10*g**6 - 2*g**3 + 11*g + 0 - 6*g**2 + 3/4*g**4. Factor j(y).
3*(y - 1)*(y + 1)*(y + 2)**2
Let c(u) be the first derivative of 6 + 3/20*u**4 - 12/5*u + 1/5*u**3 - 6/5*u**2. Factor c(m).
3*(m - 2)*(m + 1)*(m + 2)/5
Let n(i) be the third derivative of 0 - 4*i**2 - 1/60*i**6 - 8/21*i**3 - 1/7*i**5 - 3/7*i**4 + 0*i. Factor n(g).
-2*(g + 2)**2*(7*g + 2)/7
Let n(s) be the first derivative of 1/12*s**3 - s + 15 + 0*s**2. Factor n(z).
(z - 2)*(z + 2)/4
Let n(p) = 44*p**3 + 5*p**2 - 44*p - 9. Let m(d) = -131*d**3 - 15*d**2 + 131*d + 26. Let s(u) = 4*m(u) + 11*n(u). Let s(y) = 0. Calculate y.
-1, -1/8, 1
Let 19*d**2 + 1/3 + 319/3*d**3 + 242/3*d**4 - 19/3*d = 0. What is d?
-1, -1/2, 1/11
Let f(h) be the first derivative of 0*h - 1/4*h**4 + 1/3*h**3 + 2 + h**2. Factor f(v).
-v*(v - 2)*(v + 1)
Let t = 13 + 4. Let z = -17 + t. Factor -f**3 - 2/5*f**4 - 1/5*f - 4/5*f**2 + z.
-f*(f + 1)**2*(2*f + 1)/5
Let k(i) = 5*i**3 + 415*i**2 - 57964*i + 2685620. Let x(o) = 6*o**3 - 2*o**2 - o + 1. Let a(m) = -k(m) + x(m). Suppose a(v) = 0. What is v?
139
Let p(m) = -3*m**3 - 33*m**2 + 15*m - 45. Let a(f) = f**2 + 8*f + 2. Let h(v) = -6*a(v) - p(v). Factor h(q).
3*(q - 1)**2*(q + 11)
Suppose -39 = -7*x + 4*x. Let m(i) = -i + 15. Let z be m(x). Determine j, given that -3*j**3 - 5*j**2 + 0*j + j**4 - 2*j + 2*j + j**5 - z*j = 0.
-1, 0, 2
Find z such that -18/7 - 36/7*z + 4/7*z**3 - 16/7*z**2 + 2/7*z**4 = 0.
-3, -1, 3
Factor 7*h**3 - h**4 - h**4 + 8*h**5 - 4*h**2 - 9*h**5 + 0*h**2.
-h**2*(h - 1)**2*(h + 4)
Let k be (-12)/24*-11*4/2. Suppose k*b + 16 = 19*b. Solve 2/5*v + 2/5*v**b + 0 = 0.
-1, 0
Let q(p) = p**2 - p + 4. Let h(i) = 6*i**2 - 254*i - 236. Let n(t) = h(t) - 4*q(t). Factor n(d).
2*(d - 126)*(d + 1)
Let s(r) be the second derivative of -r**6/21 + 6*r**5/35 - r**4/7 - 4*r**3/21 + 3*r**2/7 + 208*r. Factor s(v).
-2*(v - 1)**3*(5*v + 3)/7
Let j(m) = -3*m + 4. Let x be j(-8). Suppose -16*a**3 + x*a**3 + 2*a**2 - 14*a**3 = 0. Calculate a.
0, 1
Let a = 0 - 0. Let m = 2 + a. Factor 0*r - 4*r + 8*r**m + 6*r**2.
2*r*(7*r - 2)
Suppose 5*v - 192 = -7*v. Let h be (-60)/v*4/(-3). Suppose -1/3*d**h - 4/3*d**2 - 2*d**3 - 4/3*d**4 - 1/3*d + 0 = 0. What is d?
-1, 0
Factor 22*c + 1/2*c**3 - 7*c**2 - 20.
(c - 10)*(c - 2)**2/2
Let y(s) = -23*s**2 + 120*s - 122. Let w(p) = -36*p**2 + 180*p - 184. Let x(a) = 5*w(a) - 8*y(a). Solve x(v) = 0.
1, 14
Let q(x) be the third derivative of x**7/210 - x**6/30 + x**5/15 + 73*x**2. Factor q(g).
g**2*(g - 2)**2
Let t(z) be the first derivative of -z**3/4 - 459*z**2/4 - 70227*z/4 + 263. Factor t(u).
-3*(u + 153)**2/4
Let j(x) be the second derivative of 0 + 19*x + 0*x**2 + 1/12*x**4 - 1/42*x**7 + 1/10*x**6 - 3/20*x**5 + 0*x**3. Determine p so that j(p) = 0.
0, 1
Suppose 12*q = 19*q - 14. Suppose 4*d - 16 = 6*d + 4*m, 4*d = -2*m - q. Suppose -1/2*b**2 - d - 2*b = 0. Calculate b.
-2
Let s(h) be the first derivative of -h**4/12 + 49*h**3/9 + 351. Factor s(p).
-p**2*(p - 49)/3
Let o(c) be the first derivative of -c**5/6 + 85*c**4/24 - 25*c**3/2 + 215*c**2/12 - 35*c/3 + 95. Determine m so that o(m) = 0.
1, 14
Let c be 6/10 + 4/10. Suppose 4*y - c - 7 = 0. Factor y*p**2 + 18 + 4*p + p**2 - p**2 + 8*p.
2*(p + 3)**2
Let x(u) = 3*u**2 + 7*u + 2. Let b be x(-3). Suppose -4*o - b = -16. Factor o*t - t**2 - 8 - 3*t + 2*t + 10.
-(t - 2)*(t + 1)
Let y(s) be the first derivative of s**4 - 40*s**3/9 + 14*s**2/3 - 75. Solve y(f) = 0.
0, 1, 7/3
Let d = -1/1278 - -320/639. Suppose 3*b - 10 = -5*g + 6, 2*b - 5*g = -6. What is k in 0 - 1/2*k - d*k**b = 0?
-1, 0
Let i be (-90)/12*(-3)/30. Let j be (4 - (-3 + 2))*18/40. Suppose -j*g**4 - 3/2*g**3 + 3/2*g**2 - i*g**5 + 3/4 + 9/4*g = 0. What is g?
-1, 1
Let o be -5 + (-82)/(-8) + 5/(-20). Let l(f) be the third derivative of 0*f - 1/120*f**o - 1/12*f**3 + 5*f**2 - 1/24*f**4 + 0. Factor l(u).
-(u + 1)**2/2
Suppose 0 = 59*h - 52*h - 28. Let y(w) be the third derivative of 0 - 1/180*w**5 + 0*w**h + 4*w**2 + 0*w + 1/18*w**3. Find c such that y(c) = 0.
-1, 1
Let k(l) = -l**2 + 2*l**2 + l**3 - 2 + l + 0 + 3. Let a(r) = -4*r**3 - 10*r**2 + 3*r - 9. Let h(d) = -a(d) - 5*k(d). Factor h(z).
-(z - 2)**2*(z - 1)
Let o(k) = k**3 + 60*k**2 + 116*k + 4. Let l be o(-58). Let d(h) be the