o).
-(o - 2)*(o - 1)**2/4
Let o(a) be the first derivative of 4*a**5/5 + 47*a**4 + 60*a**3 - 94*a**2 - 184*a + 2365. Solve o(u) = 0.
-46, -1, 1
Factor 28*j**3 - j**4 + 41*j**2 + 22*j**2 + 5*j**4 - 15*j**2.
4*j**2*(j + 3)*(j + 4)
Let f(o) be the first derivative of 5*o**6/21 - 2*o**5/5 + o**4/7 - 8006. Factor f(s).
2*s**3*(s - 1)*(5*s - 2)/7
Let h(u) be the first derivative of -u**3/21 + 34*u**2/7 + 960*u/7 - 1262. What is r in h(r) = 0?
-12, 80
Suppose 44 = 2*g - 2*m, 0 = g - 5*m - 58 + 20. Suppose 6*v - v - g = 2*x, -5*v - x + 6 = 0. Factor -2/3*h**3 + 2/3*h - 2/3 + 2/3*h**v.
-2*(h - 1)**2*(h + 1)/3
Let y(h) = -2*h**2 + 16*h + 18. Let l(t) = 2*t**2 - 17*t - 21. Let n = 140 - 147. Let x(d) = n*y(d) - 6*l(d). Suppose x(k) = 0. Calculate k.
0, 5
Let l(h) be the first derivative of h**6/108 - h**5/90 - 31*h**4/54 - 8*h**3/9 + 5*h**2 + 2*h + 19. Let z(c) be the second derivative of l(c). Factor z(o).
2*(o - 4)*(o + 3)*(5*o + 2)/9
Determine s so that 15*s**4 + 3*s**5 + 0*s**5 - 51*s**2 - 37*s**3 - 514423 - 14*s**3 + 96*s + 514507 = 0.
-7, -1, 2
Let r(j) = -22*j**3 - 331*j**2 - 923*j - 593. Let a(v) = -7*v**3 - 111*v**2 - 308*v - 198. Let o(u) = 7*a(u) - 2*r(u). Determine k so that o(k) = 0.
-20, -2, -1
Let n be -1*12/4 + 81 + (-11286)/154. Determine m so that -n*m + 27/7*m**2 - 3/7*m**4 - 3/7*m**3 + 12/7 = 0.
-4, 1
Suppose -135*u = -132*u - 6. Factor -t**u + 0 + t**3 - 6 - 4*t + 7 + 3*t.
(t - 1)**2*(t + 1)
Factor -5552 - 72*n + 5552 + 30*n**2 - 3*n**3.
-3*n*(n - 6)*(n - 4)
Let -11031*x + 14161 - 20*x**3 + 239*x**2 - 3368*x + 4*x**3 + 9*x**3 + 6*x**3 = 0. Calculate x.
1, 119
Let n = 25518 - 25515. Suppose 10 + 35/3*z**2 + 5/3*z**n - 65/3*z - 5/3*z**4 = 0. Calculate z.
-3, 1, 2
Suppose -263*w = 1031 - 2083. Solve 3/2*m - 3*m**3 + 6 - 12*m**2 + 3/2*m**5 + 6*m**w = 0.
-4, -1, 1
Let p(f) = -4*f**3 + f**2 - f - 5. Let j(x) = 9*x**3 - x**2 - x + 11. Let r(c) = 5*j(c) + 11*p(c). Factor r(o).
o*(o - 2)*(o + 8)
Let u(a) be the third derivative of -a**5/240 - 5*a**4/3 - 800*a**3/3 - a**2 + a - 861. Factor u(c).
-(c + 80)**2/4
Let q(u) be the second derivative of -u**4/27 - 284*u**3/27 - 10082*u**2/9 + 255*u + 1. Suppose q(x) = 0. What is x?
-71
Suppose -2*h = -2*o - 3*o - 14, 5*h - 12 = o. Find y, given that -y**2 + 119*y**5 - y + 3*y**4 - y + y**3 - h*y**2 - 118*y**5 = 0.
-2, -1, 0, 1
Let v(u) be the first derivative of 176*u**5 - 787*u**4/6 - 118*u**3 - 2*u**2/3 - 3786. Let v(k) = 0. What is k?
-2/5, -1/264, 0, 1
Let t(u) be the second derivative of -u**7/14 - 2*u**6/5 + 27*u**5/10 + 27*u**4 + 135*u**3/2 - 7*u - 177. Factor t(c).
-3*c*(c - 5)*(c + 3)**3
Let l(g) = g**3 - 13*g**2 + 18*g - 42. Let i be l(12). Factor -52 - i - 4*d**3 - 32*d**2 + 18 - 80*d.
-4*(d + 2)**2*(d + 4)
Let d = 41 + -44. Let c be ((5 - 7) + -7)/(d/2). Suppose -c*a**4 - 8*a**3 + 7*a**5 - 12*a**3 - 2*a**5 + 15*a + 16*a**4 - 10*a**2 = 0. Calculate a.
-3, -1, 0, 1
Let s(t) be the third derivative of 0*t**3 + 1/280*t**7 - 1/80*t**5 + 9*t**2 - 1/160*t**6 - 1 + 0*t + 1/448*t**8 + 0*t**4. Factor s(l).
3*l**2*(l - 1)*(l + 1)**2/4
Let l(k) be the third derivative of k**8/672 - 3*k**7/35 + 5*k**6/12 - k**5/4 - 101*k**4/48 + 11*k**3/2 - 20*k**2 - 3. Find q such that l(q) = 0.
-1, 1, 2, 33
Let t = 2269583/425544 - 5/141848. Solve -64/3 - t*d - 1/3*d**2 = 0.
-8
Suppose -16 = -3920*v + 3912*v. Suppose -q = v*s - 5, -3*s = -s - 3*q - 1. Factor -4/13*t + 2/13*t**3 + 0 - 2/13*t**s.
2*t*(t - 2)*(t + 1)/13
Let i(x) be the second derivative of -x**5/12 + 95*x**4/36 + 25*x**3/2 - 105*x**2/2 - 3748*x. Factor i(c).
-5*(c - 21)*(c - 1)*(c + 3)/3
Let o = -24 + 28. Let c be ((-48)/(-30))/o + 13/5. Factor 2115*t - 1350*t**2 - 623 + 435*t**c - 60*t**4 + 3*t**5 - 495*t - 25.
3*(t - 6)**3*(t - 1)**2
Let m(s) be the second derivative of s**4/4 + 776*s**3 + 903264*s**2 - 1032*s. Factor m(a).
3*(a + 776)**2
Let s(u) = u**3 - 13*u**2 + 2*u - 26. Let z be s(13). Suppose -r + x = -6, -2*r + x + 17 = -z*x. Factor -12*b - 15*b**2 - r*b**2 + 31*b**2 - b**3 + 4 + 4*b.
-(b - 2)**2*(b - 1)
Let l(i) = 4*i**2 - 15*i - 6. Let j(n) = -6*n**2 + 31*n + 10. Suppose -69 + 239 = 17*p. Let h(x) = p*l(x) + 6*j(x). Factor h(t).
4*t*(t + 9)
Determine b, given that -36/11*b - 38/11 + 2/11*b**2 = 0.
-1, 19
Let h(t) = -t**4 - t**3 - t + 5. Let n(c) = 6*c**4 - 7*c**3 + 18*c**2 + 145*c - 172. Let q(m) = -5*h(m) - n(m). Factor q(o).
-(o - 7)**2*(o - 1)*(o + 3)
Suppose 9*w = -279 + 306. Factor -2*a**4 + 24*a**2 + 10 - 102*a**3 - 22*a - 6*a + 98*a**w.
-2*(a - 1)**3*(a + 5)
Let d(h) be the third derivative of h**6/24 - h**5/6 - 175*h**2. Factor d(f).
5*f**2*(f - 2)
Let p(u) = 2*u**3 - 9*u**2 - 5*u + 4. Let k = 26 - 21. Let y be p(k). Factor -3*w - w**2 + 2*w**2 + y*w.
w*(w + 1)
Let q = 97 - 81. Let r = -37 + 39. Determine l so that -q*l**4 + 57*l**4 - 17*l**4 - 4*l**5 - 52*l**3 - 16*l + 48*l**r = 0.
0, 1, 2
Let x(k) be the first derivative of -k**3/2 - 819*k**2/4 + 1662*k + 3974. Factor x(f).
-3*(f - 4)*(f + 277)/2
Let s be -10 - ((-830)/30 + -15). Let n(i) be the second derivative of -i**2 + 28/3*i**3 + 0 - 9*i - s*i**4. Find g such that n(g) = 0.
1/14
Let o = 7 + -2. Suppose 3*n - 5 = -m, o*n = -m - 1 + 4. Factor -7*u**2 + 10*u**2 + m*u + 4*u.
3*u*(u + 4)
Let y(w) be the third derivative of -2*w**7/315 + w**6/270 + 8*w**5/135 + 2*w**4/27 + 873*w**2. Suppose y(j) = 0. What is j?
-1, -2/3, 0, 2
Suppose 0 = 3*j - 3*y - 171, 3*j + j - 5*y - 230 = 0. Let o = 96 - j. Find h, given that o*h**3 - h**4 - 35*h**3 - 6*h**4 - 4*h**2 + 5*h**4 = 0.
0, 1, 2
Let s(y) be the first derivative of -164 + 0*y**2 - 1/3*y**4 + 0*y - 10/27*y**3 - 2/45*y**5. Factor s(f).
-2*f**2*(f + 1)*(f + 5)/9
Let i(x) be the first derivative of -2*x**4 + 0*x + 16 + 0*x**2 + 8/15*x**5 - 1/27*x**6 + 0*x**3. Let i(r) = 0. Calculate r.
0, 6
Let -2096/7*w**3 + 0*w + 0 + 704/7*w**2 - 1280/7*w**4 - 4*w**5 = 0. What is w?
-44, -2, 0, 2/7
Suppose -123 - 65 = 2*q. Let d = q - -98. Determine l, given that 3*l**3 - 9/2*l + 9/2*l**d - 3/2 + 3/2*l**5 - 3*l**2 = 0.
-1, 1
Suppose -5*o = 3*q - 32, -4*q + 1 = 3*o - 27. Let j(v) be the third derivative of -v**3 + 0 + 1/80*v**6 + 0*v**q + 3/40*v**5 - 2*v**2 + 0*v. Factor j(p).
3*(p - 1)*(p + 2)**2/2
Suppose 4*s + 124 = 2*i, 0 = -3*i + 179*s - 174*s + 182. What is c in -4*c + 743*c**2 - 43*c - 746*c**2 + 2*c - i + 12 = 0?
-14, -1
Let y(t) = 7*t**2 + 24*t + 81. Let w(o) = -11*o**2 - 24*o - 81. Let g(c) = 2*w(c) + 3*y(c). Factor g(i).
-(i - 27)*(i + 3)
Let k(a) = 3*a**3 + 4*a + 1. Let q(p) = -31*p**3 + 30*p**2 - 28*p - 179. Let j(v) = -22*k(v) - 2*q(v). Factor j(i).
-4*(i - 2)*(i + 3)*(i + 14)
Suppose 78*r + 83 = 395. Determine t, given that 8/9 + 6*t**2 - 44/9*t + 4/9*t**r - 25/9*t**3 = 0.
1/4, 2
Let u be (-770)/(-66)*(-192)/(-2912). Factor -2/13*l**3 + 2/13*l**2 + u*l + 6/13.
-2*(l - 3)*(l + 1)**2/13
Let f(r) be the first derivative of 3*r**4/20 + 23*r**3/5 + 114*r**2/5 - 9998. Let f(i) = 0. Calculate i.
-19, -4, 0
Let q(h) be the first derivative of 47*h**4 + 0*h - 4/5*h**5 - 145 - 2300/3*h**3 + 1058*h**2. Find t such that q(t) = 0.
0, 1, 23
Let y(u) = 12*u - 24*u - 17 - 6 - 13*u. Let d be y(-1). Factor -3*z - 18/5*z**d + 3/5.
-3*(z + 1)*(6*z - 1)/5
Let z(a) be the third derivative of 25/12*a**4 + 0*a**3 + 0 - 1/12*a**5 + a**2 - 33*a. Suppose z(d) = 0. Calculate d.
0, 10
Suppose -61*m + 20*m - 1300 + 2601 = 1178. Solve -16/3*b - 4*b**m + 1/3*b**5 - 28/3*b**2 + 1/3*b**4 + 0 = 0.
-2, -1, 0, 4
Let j(u) = -2*u**2 - 2. Let v(h) = -9*h - 10*h**2 - 26*h - 31*h + 102 - 38*h. Let t(l) = 3*j(l) - v(l). Factor t(k).
4*(k - 1)*(k + 27)
Find t, given that -2/3*t**2 - 11616 + 176*t = 0.
132
Suppose 32 - 345 = 5*o - 4*t, 0 = -3*o + 2*t - 187. Let r = o + 66. Suppose r*s + s**3 + 3*s**2 - 13*s**2 + 4*s**3 = 0. Calculate s.
0, 1
Let b(j) = -9*j + 4. Let l be b(0). Factor o**l - 4*o**3 - o + 5*o**4 + 22*o**2 - 9*o**3 - 14*o**2.
o*(o - 1)**2*(6*o - 1)
Suppose y - 8 = 91. Let k = 5 - 2. Factor y*x**2 - 10*x**k + 5*x**5 - 99*x**2 + 5*x.
5*x*(x - 1)**2*(x + 1)**2
Let x be (-471)/2198*14/(-180). Let u(j) be the first derivative of -3 + 0*j**2 + 0*j**4 + 0*j**3 + 1/72*j**6 + 0*j + x*j**5. Solve u(c) = 0 for c.
-1, 0
Let p be (-207264)/8128*(-4)/21. Suppose -1/7*d**2 - 289/7 + p*d = 0. Calculate d.
17
Let k(l) be the second derivative of 95*l**4/3 + l**3/2 - 3*l**2/2 - 25*l