. Solve b(s) = 0 for s.
0, 1
Let z(o) be the second derivative of o**8/33600 - o**7/6300 - 17*o**4/2 - 5*o. Let q(c) be the third derivative of z(c). Factor q(p).
p**2*(p - 2)/5
Let z(l) be the first derivative of -l**5/30 + 3*l**4 - 108*l**3 + 4*l**2 + 3*l - 30. Let t(x) be the second derivative of z(x). Factor t(k).
-2*(k - 18)**2
Let i(j) = -j**2 + 104*j + 12. Let c(z) = z**2 + z - 2. Let v(r) = -6*c(r) - i(r). Find u, given that v(u) = 0.
-22, 0
Suppose 3*c + 161 = -20*c. Let a(o) = o**2 + 4*o - 19. Let u be a(c). Factor -242/19*p**u - 8/19 - 88/19*p.
-2*(11*p + 2)**2/19
Factor 522729/2 + 1/2*l**2 + 723*l.
(l + 723)**2/2
Suppose 183*z - 32*z - 391 - 62 = 0. Let 3/4*p**4 + 1/4*p**5 - 1/4 + 1/2*p**z - 3/4*p - 1/2*p**2 = 0. Calculate p.
-1, 1
Let f = -181 + 179. Let a be 765/34 - 13 - f/(-12). Suppose -a*l**2 - 8*l - 4/3*l**3 + 0 = 0. What is l?
-6, -1, 0
Let y(l) = 5*l**2 + 365*l - 33123. Let q(u) = 6*u**2 + u + 1. Let j(n) = -q(n) + y(n). Find x such that j(x) = 0.
182
Let t = 45614 + -410078/9. Factor -2/9*r**3 - 58/9*r**2 - t*r - 392/9.
-2*(r + 1)*(r + 14)**2/9
Suppose 27*k**3 + k**3 - 3*k**3 - 1621 + 1441 + 95*k**2 = 0. Calculate k.
-3, -2, 6/5
Factor 486*y**2 - 1822*y**2 + 3280*y - 1939*y**2 - 5*y**3.
-5*y*(y - 1)*(y + 656)
Find q such that -15*q**2 + 12 + 19*q**2 + 23*q**2 + 6 - 57*q + 12*q**2 = 0.
6/13, 1
Let l(u) = u**2 + 34*u - 300. Let f be l(-47). Suppose 304*n - f*n + 28 = 0. Determine x, given that -2/9*x**n - 2/3*x**3 + 0*x - 4/9*x**2 + 0 = 0.
-2, -1, 0
Let f(c) = -11*c + 79. Let l be f(7). Factor -46*v + 46*v**l + 2 + v**3 + 3*v**3 + 23*v**5 + 19*v + 65*v**4 - 113*v**4.
(v - 1)**3*(v + 1)*(23*v - 2)
Let d(s) be the first derivative of 4*s**2 - 44/5*s - 124 + 4/15*s**3. Factor d(i).
4*(i - 1)*(i + 11)/5
Solve 115/3*y - 5/6*y**2 - 300 = 0 for y.
10, 36
Let h(r) be the third derivative of -r**6/120 + 631*r**5/10 - 398161*r**4/2 + 1004958364*r**3/3 + 6318*r**2. Let h(m) = 0. Calculate m.
1262
Suppose -80 + 68/3*u - 4/3*u**2 = 0. What is u?
5, 12
Let f(i) be the third derivative of -1/132*i**6 + 0*i + 8/33*i**3 + 1/20*i**5 + 1/2310*i**7 - 5/33*i**4 + 0 - 54*i**2. Factor f(q).
(q - 4)**2*(q - 1)**2/11
Let k be ((-19476)/(-432) + -45)/((-1)/(-2)). Solve -1/6*x**3 + 0*x - k*x**2 + 1/6*x**5 + 1/6*x**4 + 0 = 0 for x.
-1, 0, 1
Let s be (-1)/(-4) + (-330)/(-88) + 1. Suppose -s*t + 21*f + 31 = 17*f, -t = -2*f - 11. Solve 9/2*g**t - 17/2*g**2 + 1/2 + 7/2*g = 0 for g.
-1/9, 1
Let q(h) be the second derivative of -1/600*h**6 - 12*h - 1/40*h**4 + 0 - 1/100*h**5 + 4*h**3 + 0*h**2. Let a(z) be the second derivative of q(z). Factor a(g).
-3*(g + 1)**2/5
Let y = 313 + -323. Let a be (1/((-18)/(-51)) - 3)*y. Let -10*z - a*z**4 + 25/3 - 20/3*z**2 + 10*z**3 = 0. Calculate z.
-1, 1, 5
Let j(g) = 15 + 13*g**2 - 4*g**2 - 7*g**2 + 12 + 13*g - 5. Let w be j(-4). Suppose 2*p**4 - 2/5*p**5 - 2/5*p**w - 8/5 - 14/5*p**3 + 16/5*p = 0. Calculate p.
-1, 1, 2
Let c(i) be the third derivative of 2*i**7/105 + i**6/15 - 24*i**5/5 + 45*i**4 - 198*i**3 + 757*i**2 + i. Determine d so that c(d) = 0.
-11, 3
Let l(b) be the third derivative of 0*b + 1/33*b**5 + 0 + 0*b**3 - 3/220*b**6 + 0*b**4 - 1/1155*b**7 + 222*b**2. Determine y, given that l(y) = 0.
-10, 0, 1
Let i = 177 + -172. Factor i*o**4 - 101*o**3 + 15*o + 60*o**3 + 35*o**2 + 66*o**3.
5*o*(o + 1)**2*(o + 3)
Determine k so that 170/7 - 2/7*k**2 + 24*k = 0.
-1, 85
Let g(x) = -x**3 + 473*x**2 + 14565*x + 206. Let b be g(-29). Factor 0 + 2/9*m**4 - 10/3*m**b + 128/9*m + 32/3*m**2.
2*m*(m - 8)**2*(m + 1)/9
Solve 0 - 1/3*v**4 - 1/3*v**3 + 182/3*v**2 + 0*v = 0.
-14, 0, 13
Find y such that -36385 - 295*y - 1193*y + 34893 + 4*y**2 = 0.
-1, 373
Let y(a) be the second derivative of -9*a + 0*a**2 + 5/3*a**4 + 1 + 1/5*a**5 + 8/3*a**3. Factor y(f).
4*f*(f + 1)*(f + 4)
Let t(j) be the first derivative of j**9/7560 + j**8/2100 - j**6/450 - j**5/300 - 208*j**3/3 - 31. Let k(c) be the third derivative of t(c). Factor k(n).
2*n*(n - 1)*(n + 1)**3/5
Let z be ((-4)/(-54)*-3)/(584/(-3942)). Let p(s) be the first derivative of z*s**2 - 28 + 1/8*s**4 + 0*s - 7/6*s**3. Determine k, given that p(k) = 0.
0, 1, 6
Let f(n) be the third derivative of n**8/420 + n**7/30 + n**6/9 + 28*n**3 + 118*n**2. Let r(d) be the first derivative of f(d). Suppose r(g) = 0. Calculate g.
-5, -2, 0
Factor 2/19*k**4 + 9776/19*k**2 + 34848/19 - 272/19*k**3 - 35904/19*k.
2*(k - 66)**2*(k - 2)**2/19
Let q = 129871 - 1428511/11. Factor 0 - q*r - 2/11*r**2.
-2*r*(r + 35)/11
Suppose 16895 - 16841 = 18*c. Let -g**2 + 1/4*g**c - 7/4*g + 5/2 = 0. What is g?
-2, 1, 5
Let i(w) be the third derivative of -w**7/280 - w**6/32 - 3*w**5/80 + 5*w**4/32 + w**3/2 + 3*w**2 + 481. Solve i(b) = 0.
-4, -1, 1
Suppose -1/3*p + 0 - 52/3*p**2 = 0. What is p?
-1/52, 0
Let u(s) be the second derivative of -s**6/60 - s**5/40 + s**4/8 + 22*s**3/3 + 5*s. Let p(k) be the second derivative of u(k). Suppose p(n) = 0. Calculate n.
-1, 1/2
What is d in 3*d**2 - 628/5*d - 84/5 = 0?
-2/15, 42
Let c be ((-2021)/235 - 21) + 30. Solve c*x**3 + 10 + 14*x + 22/5*x**2 = 0 for x.
-5, -1
Let v(a) = 5*a**2 - 132*a + 5333. Let x(t) = 27*t**2 - 653*t + 26667. Let w(c) = -44*v(c) + 8*x(c). Factor w(r).
-4*(r - 73)**2
Let h(a) be the first derivative of a**3/8 - 75*a**2/16 + 69*a/4 - 1467. Factor h(b).
3*(b - 23)*(b - 2)/8
Suppose -y**2 - y**2 - 48*y - 672 - 12*y - 30*y + 16*y = 0. What is y?
-21, -16
Let f(o) = 10*o**2 + 880*o - 4815. Let q(s) = 2*s**2 - 180*s + 602 - 3*s**2 + 70*s. Let k(j) = -3*f(j) - 25*q(j). Find n such that k(n) = 0.
11
Let n(v) be the third derivative of 1/36*v**4 + 2/9*v**3 + 0 + 0*v - v**2 - 1/90*v**5. Factor n(i).
-2*(i - 2)*(i + 1)/3
Let s(w) be the second derivative of -w**4/24 + 59*w**3/4 + 89*w**2/2 + 256*w + 4. Factor s(l).
-(l - 178)*(l + 1)/2
Factor 0 - 2/3*a**4 - 4/3*a + 4/3*a**3 + 2/3*a**2.
-2*a*(a - 2)*(a - 1)*(a + 1)/3
Let f(q) be the first derivative of -80/9*q**3 + 112 - 16*q**2 - 11/6*q**4 - 2/15*q**5 + 0*q. Factor f(w).
-2*w*(w + 3)*(w + 4)**2/3
Factor 22670*q + 309106*q + 21233664 + 91272*q**3 + 1728*q**2 - 91269*q**3.
3*(q + 192)**3
Let v = 7153 + -4587. Let a = 2568 - v. Factor 16/9*g**3 - 2/3*g**4 + 8/9*g**2 - a*g**5 + 0 + 0*g.
-2*g**2*(g - 1)*(3*g + 2)**2/9
Let f(d) be the first derivative of -d**4/16 + 11*d**3/12 - 4*d**2 + 7*d - 235. Factor f(g).
-(g - 7)*(g - 2)**2/4
Let b(g) be the second derivative of g**7/105 + 7*g**6/75 + 9*g**5/25 + 11*g**4/15 + 13*g**3/15 + 3*g**2/5 + 48*g + 18. Let b(o) = 0. What is o?
-3, -1
Solve -2/3*j**2 - 226/3*j + 76 = 0 for j.
-114, 1
Suppose -9*a = -0*a - 27. Factor -2*b**4 + b**4 - 52*b**a + b + 44*b**2 - 9*b + 17*b**4.
4*b*(b - 2)*(b - 1)*(4*b - 1)
Factor 72*p + 0 - 176/5*p**2 - 2/5*p**3.
-2*p*(p - 2)*(p + 90)/5
Let b(x) be the second derivative of -x**5/60 - 11*x**4/6 - 78*x**3 - 4732*x**2/3 + 4252*x + 1. Factor b(p).
-(p + 14)*(p + 26)**2/3
Let v = 288506 - 2019532/7. Factor 4/7 + 6/7*p - v*p**2.
-2*(p - 1)*(5*p + 2)/7
Let k be (48/(-14))/((-69)/3542). Suppose -41*y + k = 53. Factor 2/3 + 4/3*g + 8/3*g**y - 14/3*g**2.
2*(g - 1)**2*(4*g + 1)/3
Let n be 2 - (4/(-14) + (-810)/105). Suppose -3*f + 17 = 5*i, -5*f + n*f - 11 = -4*i. Solve -43*h**i + 39*h**4 + 4 + 8*h + h**3 - 9*h**3 = 0.
-1, 1
Let y = 46 - 42. Suppose 6 = 4*s - 6. Find w, given that -9*w**2 - 3*w**y - 24*w + 40*w + 9*w**s - 13*w = 0.
0, 1
Suppose -5*j = 13*v - 19 - 41, -3*v + 4*j + 19 = 0. Factor 47/3*g**4 - 12*g**2 - 44*g**3 - 4/3*g**v + 0 + 0*g.
-g**2*(g - 6)**2*(4*g + 1)/3
Factor 7*m**2 - 4400*m**5 + 4398*m**5 + 4*m**3 - 2*m - 7*m**2.
-2*m*(m - 1)**2*(m + 1)**2
Let s be (-8)/30 + 1045/(-660) + (-81)/(-36). Find x such that x + s - 16/5*x**2 + 9/5*x**3 = 0.
-2/9, 1
Let z = 15756 + -15740. Let m(q) be the third derivative of 0 + 0*q - 1/60*q**5 - z*q**2 + 5/12*q**4 - 3/2*q**3. Factor m(b).
-(b - 9)*(b - 1)
Suppose 0 = 2*g - 5*g - 2*y + 13, 0 = -3*g + 4*y + 1. Determine v, given that -25*v**3 + 37*v + 8*v**2 + 6*v**g + 7*v + 8*v**3 - 48 + 7*v**3 = 0.
-3, 1, 4
Let s be ((-8)/(-3) - 1)/((-20)/(-36)). Let f(y) be the first derivative of 2/3*y**s + 6*y**2 + 18*y - 9. Suppose f(c) = 0. Calculate c.
-3
Let f(o) = -7*o**3 + 916*o**2 - 19068*o - 7064. Let v(s) = -6*s**3 + 915*s**2 - 19068*s - 7066. Let z(j) = -10*f(j) + 8*v(j). What is w in z(w) = 0?
-4/11, 42
Suppose -