be (-10)/(-15)*18/14. Factor 0 + 0*v + n*v**3 + 3/7*v**2 + 3/7*v**s.
3*v**2*(v + 1)**2/7
Let w be 45/2*((-7)/3 + 3). Suppose -w*z = z - 48. Let -5*t - 2*t**2 - 4*t + z*t**2 - 11 - t = 0. Calculate t.
-1, 11
Let v(o) be the second derivative of -o**4/18 + 5642*o**3/9 - 7958041*o**2/3 + 9062*o. Solve v(i) = 0.
2821
Let m(t) = 2*t**2 - t - 2. Let o(c) be the first derivative of -6*c**3 + 19*c**2 - 10*c - 91. Let i(w) = -10*m(w) - o(w). Factor i(b).
-2*(b - 1)*(b + 15)
Let i(k) be the second derivative of k**4/9 - 34*k**3/9 - 112*k**2 - 1728*k. Factor i(g).
4*(g - 24)*(g + 7)/3
Let l(a) be the third derivative of 1/300*a**6 - 2/15*a**4 + 0*a + 1/150*a**5 - 101*a**2 - 4/5*a**3 + 0. Factor l(k).
2*(k - 3)*(k + 2)**2/5
Let c be (4/6)/((-7)/(378/(-12))). Suppose -3*a + 25 = c*o + a, 0 = -4*o - 3*a + 24. Factor -117*g**3 + 210*g**2 - 96*g - 15*g**2 + 16 - 15*g**2 + 17*g**o.
-4*(g - 1)*(5*g - 2)**2
Let l = 31 + -29. Factor -96*p + 77 - 51*p**l + 69*p**2 - p**3 + 51.
-(p - 8)**2*(p - 2)
Let w(m) = -52*m**3 + 565*m**2 - 1074*m + 773. Let j(f) = -36*f**3 + 385*f**2 - 716*f + 515. Let y(c) = 7*j(c) - 5*w(c). Suppose y(i) = 0. What is i?
5/4, 2, 13
Let b(f) = -16*f**3 + 52*f**2 + 233*f + 172. Let k(q) = 14*q**3 - 54*q**2 - 230*q - 168. Let h(l) = -6*b(l) - 7*k(l). Factor h(v).
-2*(v - 36)*(v + 1)*(v + 2)
Let -36/5*r**3 + 0*r + 0*r**2 - 17/5*r**4 + 0 + 1/10*r**5 = 0. Calculate r.
-2, 0, 36
Factor 46/7*r**2 + 2/7*r**3 - 272/7*r + 32.
2*(r - 4)*(r - 1)*(r + 28)/7
Let c(y) = 19*y**2 - y - 2. Let f be c(1). Factor f*t + 27 - 23 - t**2 + 13.
-(t - 17)*(t + 1)
Let r(c) be the second derivative of 5*c**7/42 - 7*c**6/3 - 107*c**5/4 - 310*c**4/3 - 590*c**3/3 - 200*c**2 + c - 169. Let r(i) = 0. What is i?
-2, -1, 20
Let p = -28730/3 - -9582. What is j in -p*j + 80/3*j**2 - 12*j**3 + 0 = 0?
0, 2/9, 2
Let t(z) be the first derivative of -2*z**3/45 - 3*z**2/5 + 3121. Let t(u) = 0. Calculate u.
-9, 0
Let p(f) be the second derivative of f**5/170 - 4*f**4/51 - 23*f**3/51 + 30*f**2/17 - 85*f - 5. Factor p(z).
2*(z - 10)*(z - 1)*(z + 3)/17
Let k be (-36)/48 - ((-55)/(-25) + -3). Let z(b) be the third derivative of k*b**5 + 27*b**2 - 25/18*b**3 + 1/360*b**6 + 5/24*b**4 + 0*b + 0. Factor z(t).
(t - 1)*(t + 5)**2/3
Suppose -3*r + g = -12 + 9, 0 = -2*r - 5*g - 15. Let f(z) be the third derivative of 0 + 1/60*z**5 + r*z**3 + 0*z**4 + 17*z**2 + 0*z - 1/120*z**6. Factor f(k).
-k**2*(k - 1)
Let o(b) be the third derivative of b**6/1080 + 5*b**5/36 + 625*b**4/72 + 4*b**3 + 5*b**2 + 2. Let l(r) be the first derivative of o(r). Factor l(t).
(t + 25)**2/3
Let l(t) be the third derivative of t**7/105 + 4*t**6/5 + 115*t**5/6 - 4*t**4 - 192*t**3 + 2*t**2 + 71*t + 26. Solve l(z) = 0.
-24, -1, 1
Find q, given that -2352 + 3/8*q**3 + 165/4*q**2 + 1092*q = 0.
-56, 2
Determine r so that -328/5 + 2/5*r**2 - 326/5*r = 0.
-1, 164
Let y(x) be the second derivative of x**6/60 + 7*x**5/40 - 5*x**4/4 - 3893*x. Solve y(n) = 0.
-10, 0, 3
Determine z, given that 4566 - 50*z**2 + 145*z**2 + 11421*z - 60*z**2 - 20*z**2 = 0.
-761, -2/5
Let d be 7381/3135 + (-50)/2375. Factor -4/3*b - b**2 + d.
-(b - 1)*(3*b + 7)/3
Let v be 8/(-16)*68 - 6. Let z be (480/350)/((-12)/v). Factor z + 116/7*r + 2*r**2.
2*(r + 8)*(7*r + 2)/7
Suppose 16/5*g**2 - 29/5*g + 14/5 - 1/5*g**3 = 0. Calculate g.
1, 14
Let m(v) = -4*v**5 - 6*v**4 + 28*v**3 + 12*v**2 + 12*v - 12. Let z(s) = s**5 + 3*s**4 - s**3 - 2*s + 2. Let h(l) = m(l) + 6*z(l). Factor h(d).
2*d**2*(d + 1)*(d + 2)*(d + 3)
Find u such that 0 + 69/2*u - 1/2*u**3 - 10*u**2 = 0.
-23, 0, 3
Suppose 17*s = -6*s + 69. Factor 4*p**s + 972*p + 51*p**2 + 57*p**2 + 1119 + 1797.
4*(p + 9)**3
Let k(y) be the second derivative of -49*y**4/4 + 462*y**3 - 6534*y**2 - 857*y. Factor k(c).
-3*(7*c - 66)**2
Let a(v) be the second derivative of v**5/12 - 355*v**4/12 - 5*v**3/18 + 355*v**2/2 + 8351*v. Factor a(f).
5*(f - 213)*(f - 1)*(f + 1)/3
Let f(m) be the third derivative of m**8/141120 + m**7/7056 + m**6/840 + 3*m**5/4 - m**4/12 - 33*m**2. Let s(l) be the third derivative of f(l). Factor s(q).
(q + 2)*(q + 3)/7
Suppose 4*s + 15*o - 12*o = -4, 6 = 5*s + o. Let t be 2/15*30/12*2. Factor t + 2/3*u**s - 4/3*u.
2*(u - 1)**2/3
Factor 4*t - 16*t**4 - 461690 - 8*t**2 + 461690 + 20*t**2.
-4*t*(t - 1)*(2*t + 1)**2
Let r be 6/(-7) + 7 + (22/11 - -1). Factor r*v + 4*v**2 + 48/7 + 4/7*v**3.
4*(v + 2)**2*(v + 3)/7
Suppose 4*c + 28 = 108. Let u(n) be the first derivative of 3*n**2 + 32*n + n**3 - 32*n + 3 + c. Factor u(y).
3*y*(y + 2)
Let a(w) be the first derivative of 24*w**2 + 1/7*w**3 + 1344*w - 61. Determine i so that a(i) = 0.
-56
Suppose -13285*s + 13284*s + 3 = 0. Let o(b) be the first derivative of -3*b**s + 0*b**2 + 3/4*b**4 + 12*b - 20. Factor o(m).
3*(m - 2)**2*(m + 1)
Let x(w) be the third derivative of w**5/75 - 187*w**4/120 + 179*w**3/15 + 121*w**2 + w. Factor x(q).
(q - 2)*(4*q - 179)/5
Factor -2/3*s**2 + 52/15*s - 2/3.
-2*(s - 5)*(5*s - 1)/15
Let p(l) = -811*l**2 + 400*l + 9. Let n(z) = 608*z**2 - 300*z - 7. Let w(x) = 9*n(x) + 7*p(x). Determine f so that w(f) = 0.
0, 20/41
Let q = 40 + -18. Suppose 2*z - 2*s = q, -z + 3*s + s = -20. Find c such that 2*c**2 - 1 - c - z + 9*c - 1 = 0.
-5, 1
Let i be (3 + (-258)/(-10))/(20/450). Let r = -646 + i. Factor -1/3*c**3 - 3*c - r*c**2 + 0.
-c*(c + 3)**2/3
Let x(c) be the third derivative of 25/2*c**3 + 35/6*c**4 + 5/12*c**5 + 0 + 16*c**2 + 5*c. Solve x(g) = 0.
-5, -3/5
Suppose 0 + 1577*b**2 - 2527/2*b - 1/2*b**5 - 336*b**3 + 23*b**4 = 0. What is b?
0, 1, 7, 19
Suppose 2*n = -n + 330. Let k = -88 + n. Solve 2*d**3 - 7 - 4*d**2 + 0*d**2 + 8*d - 1 - k*d = 0 for d.
-1, 4
Factor 0*c - 76/5*c**4 + 0 - 1/5*c**5 + 3042/5*c**2 - 273*c**3.
-c**2*(c - 2)*(c + 39)**2/5
Let d = 508/5 - 101. Let w = 37/247 + 62/1235. Factor -2/5 + 1/5*l**2 - 3/5*l + d*l**3 + w*l**4.
(l - 1)*(l + 1)**2*(l + 2)/5
Let x = 2/631775 - -1895321/1263550. Suppose -i - 1/2*i**2 + x = 0. What is i?
-3, 1
Suppose -5*b - 5*z = 30, 2*b - 5*z = -10*z - 21. Let w be 2 + b - (3 + -9 + 1). Factor -5*v**4 + 13*v**3 + 15*v**2 + 6*v - v**3 + 2*v**w + 6*v**4.
3*v*(v + 1)**2*(v + 2)
Let h(s) be the first derivative of s**5/660 - 7*s**4/264 - 4*s**3/33 + 25*s**2/2 - 132. Let i(l) be the second derivative of h(l). Let i(j) = 0. Calculate j.
-1, 8
Let n be ((176/56)/11)/(1/14). Let 2*r**2 + 12820 + n*r - 12820 - 2*r**3 = 0. Calculate r.
-1, 0, 2
Let s be -3 + -1 - (10 - 29). Suppose 0 = -2*l + 19 - s. Find o, given that -89*o**l + 15 + 6*o + 14*o + 94*o**2 = 0.
-3, -1
Let 15602496*t**2 - 10476*t**3 - 7346*t - 8915551 + 1467824 - 8454*t + 4*t**4 + 26276*t**3 - 8154773 = 0. Calculate t.
-1975, -1, 1
Let g be 29 + -29 - 8/(14/(-3) + 4). Suppose -6/5*h**3 + 0*h + 0 - g*h**2 = 0. Calculate h.
-10, 0
Let d = -90215/3 - -30077. Solve 16/3 - d*b + 4/3*b**2 = 0.
2
Let l be -21 - (10 + -31) - (-2 + 0)*1. Let n(u) be the first derivative of 4*u**3 + 5*u**l - 1 + 0*u + 1/2*u**4. Find w such that n(w) = 0.
-5, -1, 0
Let z be 2 - ((-5500)/(-2880) - 2/(-32)). Let g(y) be the second derivative of 0 + 12*y - z*y**4 + 0*y**2 + 1/18*y**3. Factor g(u).
-u*(u - 1)/3
Let l(q) be the first derivative of 9/32*q**4 - 1/16*q**6 + 0*q - 1/8*q**2 - 1/8*q**3 - 60 - 1/40*q**5. Let l(x) = 0. Calculate x.
-2, -1/3, 0, 1
Factor -2/7*i**3 - 387072*i - 86704128 - 576*i**2.
-2*(i + 672)**3/7
Let b be 29986/5452 + 20/(-8). Factor 16*x**2 + 40/3*x + 0 + 2/3*x**4 + 6*x**b.
2*x*(x + 2)**2*(x + 5)/3
Let r(m) be the third derivative of 8*m**2 + 0*m + 0*m**3 + 1/12*m**5 + 2 - 1/210*m**7 + 1/336*m**8 - 1/12*m**4 - 1/40*m**6. Factor r(n).
n*(n - 1)**3*(n + 2)
Let o be 56/(-420) - 50576/30. Let n = o - -1689. Find i, given that 8/5 + 2/5*i**n + 18/5*i + 12/5*i**2 = 0.
-4, -1
Let d be (64/48)/((-1)/(-36)). Determine i so that -d*i - 16*i**2 - 16 + 223*i**2 + 13*i**2 = 0.
-2/11, 2/5
Let c(j) be the third derivative of -j**5/90 + 107*j**4/9 - 739*j**2 - j. Solve c(q) = 0.
0, 428
Let q be 198/444 + ((-12)/74)/(5 - 8). Suppose -7*t + 0 - 2*t**3 + 19/2*t**2 - q*t**4 = 0. What is t?
-7, 0, 1, 2
Let c(n) be the first derivative of -n**6/27 + 56*n**5/45 - 98*n**4/9 - 631. Suppose c(d) = 0. What is d?
0, 14
Suppose -40 = 3*u - 4*y, 5*u + 2*y - 276 + 256 = 0. Solve 10/9*z + 2/9*z**2 + u = 0 for z.
-5, 0
Let 7*h - 560*h**2 - 30*h**5 + 4*h - 148*h**4 - 568