42))/(3 - 22/q). Factor -9/7*h - 3/7*h**u - 6/7.
-3*(h + 1)*(h + 2)/7
Suppose 812 = 4*z + 776. Factor 0*c + 5*c + 3*c**3 + 1931*c**4 - z*c**2 - 1930*c**4.
c*(c - 1)**2*(c + 5)
Let y(k) be the third derivative of -k**8/1176 + 89*k**7/735 - 22*k**6/105 - 47*k**2 + 9*k. Factor y(j).
-2*j**3*(j - 88)*(j - 1)/7
Let c(l) be the second derivative of 3*l**5/100 - 109*l**4/5 + 47957*l**3/10 - 141267*l**2/5 - 53*l + 12. Factor c(a).
3*(a - 217)**2*(a - 2)/5
Let y(h) be the first derivative of h**8/2240 - h**7/560 - 88*h**3/3 + 22. Let o(z) be the third derivative of y(z). Factor o(m).
3*m**3*(m - 2)/4
Let r(d) be the second derivative of -d**6/60 - 8*d**5/15 - 15*d**4/4 + 54*d**3 + 29*d**2 - d + 43. Let v(i) be the first derivative of r(i). Factor v(b).
-2*(b - 2)*(b + 9)**2
Let m(f) be the first derivative of f**4/16 + 67*f**3/6 - 135*f**2/8 + 1473. Factor m(o).
o*(o - 1)*(o + 135)/4
Suppose 17*k = 10*k + 42. Factor -k*c**5 - 8*c**3 + c**5 - 3*c**5 + 10*c**5.
2*c**3*(c - 2)*(c + 2)
Let q be 14/224*4*(-24)/(-2). Factor -8/3 - f**q - 14/3*f**2 - 20/3*f.
-(f + 2)**2*(3*f + 2)/3
Let r(k) = 2*k - 1. Let u(w) = 10*w - 51. Let z(t) = 12*r(t) - 3*u(t). Let l be z(19). What is y in -36/7*y - l*y**2 + 12/7 + 84*y**3 = 0?
-1/4, 2/7
Factor -3/5*p**3 - 219/5*p**2 - 213/5 - 429/5*p.
-3*(p + 1)**2*(p + 71)/5
Let y(a) be the third derivative of 2*a**7/105 + a**6/10 + 2*a**5/15 + 159*a**2. Determine u so that y(u) = 0.
-2, -1, 0
Solve 9 - 3/8*o**2 + 3/4*o = 0 for o.
-4, 6
Let j(x) be the first derivative of 162/5*x**3 - 81 - 729/20*x**4 + 8/5*x - 54/5*x**2. Solve j(c) = 0.
2/9
Suppose -5*h = 4*y - 14, -7*h + 5*h - 2*y = -6. Factor h*p**2 + p**2 + 38*p - 2 + 38*p - 81*p.
(p - 2)*(3*p + 1)
Let t(i) be the third derivative of 0 + 0*i**3 + 7/4*i**4 - 2*i + 8*i**2 + 1/20*i**5. Find a, given that t(a) = 0.
-14, 0
Let v(u) = u**2 + 3*u - 12. Let h be v(-5). Let t be ((-5)/h + -3)*-4. Let 10*w**t + 3*w - 6 + 9*w**2 - 16*w**2 = 0. Calculate w.
-2, 1
Let g = -4/24091 + 192740/72273. Let 4/3 - 16/9*w**4 + 4/9*w**2 - g*w**3 + 26/9*w - 2/9*w**5 = 0. What is w?
-6, -1, 1
Let z = 207674 + -1661389/8. Solve 507/8*x**3 + 585/8*x**2 + z + 81/8*x = 0.
-1, -1/13
Suppose 0 = 3*h - 2*c - 16994, c = -3*h - h + 22644. Suppose h + 51*b + 4*b**2 + 69*b - 4762 = 0. Calculate b.
-15
Let c(t) be the first derivative of -2*t**5/15 + 23*t**4/2 - 388*t**3/9 - 88*t**2 + 8605. Let c(a) = 0. What is a?
-1, 0, 4, 66
Let p be 220/165*(-25)/(-80). Let b(o) be the second derivative of 0*o**2 - 1/42*o**7 + p*o**4 + 1/3*o**3 + 0 - 1/30*o**6 + 3/20*o**5 - 30*o. Factor b(g).
-g*(g - 2)*(g + 1)**3
Let r(z) be the second derivative of z**6/60 - 13*z**5/40 - z**4/6 + 13*z**3/3 + 9*z + 281. Find s, given that r(s) = 0.
-2, 0, 2, 13
Let q(s) be the second derivative of s**6/30 - 719*s**5/50 + 11472*s**4/5 - 728064*s**3/5 - 884736*s**2/5 - 11096*s. Factor q(p).
(p - 96)**3*(5*p + 2)/5
Let 39*f**3 + 45*f**3 + 54*f**3 + 36 + 302*f**2 - f**5 + 143*f + 32*f**4 - 90*f**2 = 0. Calculate f.
-1, 36
Let i(v) be the second derivative of -255*v - 1/15*v**6 + 16/5*v**5 - 188/3*v**4 + 0 - 3600*v**2 + 640*v**3. Determine a so that i(a) = 0.
6, 10
Let k(v) = -5*v**3 + 301*v**2 - 4*v - 310. Let i(q) = 2*q**3 + 2*q**2 + q + 1. Let s(b) = 3*i(b) + k(b). Solve s(z) = 0 for z.
-307, -1, 1
Let r(i) be the first derivative of 3*i**5/40 - 107*i**4/32 + 895*i**3/24 - 2425*i**2/16 + 625*i/4 - 258. Suppose r(a) = 0. What is a?
2/3, 5, 25
Let t = 54 + -49. Suppose -6 - 14 = -t*z. Factor 762*k - 63 + 340*k**3 + 598*k + 1605*k**2 + 19*k**z + k**4 + 383.
5*(k + 8)**2*(2*k + 1)**2
Let z(q) be the second derivative of -q**4/24 - 65*q**3/12 - 93*q**2/2 + 1932*q. Suppose z(v) = 0. Calculate v.
-62, -3
Let a be 23/138*4/3. Let u(x) be the first derivative of 18 + 2/15*x**5 + a*x**3 + 1/3*x**4 + 0*x**2 + 0*x. Suppose u(r) = 0. Calculate r.
-1, 0
Let f = 11784 - 11780. Let 0*u + 1/2*u**3 + u**5 + u**2 - 5/2*u**f + 0 = 0. What is u?
-1/2, 0, 1, 2
Let d(b) = b**3 - 3*b**2 - 9*b - 17. Let c(n) = -n**3 + 2*n**2 + 7*n + 14. Let h(p) = -6*c(p) - 5*d(p). Solve h(a) = 0 for a.
-1
Let n(y) = -y**3 + 2*y**2 + y. Let k be n(-1). Let v = 17 - 15. Let -k*a - 9*a + 2*a**v - 8*a + 18 + 7*a = 0. What is a?
3
Let v(y) be the second derivative of 9*y + 2 + 0*y**2 + 1/21*y**4 - 8/7*y**3. Let v(c) = 0. What is c?
0, 12
Let d be 1/(-4) + 42/8. Suppose 5*q = 20 - d. Factor -67*p - 2*p**2 + 68*p - 2*p**4 + q*p**4 - 2*p**3 + 1 + p**5.
(p - 1)**2*(p + 1)**3
Let n(x) be the second derivative of 80 - 3/160*x**5 + x + 3/16*x**4 - 11/16*x**3 + 9/8*x**2. Suppose n(d) = 0. What is d?
1, 2, 3
Suppose -132 = -3*c + 3*p, -6*c + 176 = -2*c + 2*p. Suppose c*g + 14*g + 4*g**3 - 4*g**4 - 58*g = 0. Calculate g.
0, 1
Suppose 2*g = -g - 4*f + 1, f = g - 12. Suppose 0 = 5*j - 4*v - 4, -g*j - 4*v - 4 = -3*j. Suppose 0*p**3 + 1/7*p**5 + 0*p**2 + j*p**4 + 0*p + 0 = 0. What is p?
0
Let k = 3563169041/519653939 + -977/548737. Let s = k + 2/947. Find z such that 8/7 + 2/7*z**3 + s*z + 82/7*z**2 - 50/7*z**5 - 90/7*z**4 = 0.
-1, -2/5, 1
Factor 9/4*c**3 + 3/4*c**2 - 25/4*c - 1/4*c**4 - 9/2.
-(c - 9)*(c - 2)*(c + 1)**2/4
Let z(a) = -a**4 - 4*a**3 - a**2 + 7*a + 1. Let c(u) = 10*u**4 + 18*u**3 - 14*u**2 - 54*u + 16. Let l(p) = -c(p) - 12*z(p). Factor l(r).
2*(r - 1)*(r + 1)**2*(r + 14)
Factor -31*m**2 + 100*m**2 + 495 + 150*m - 32*m**2 - 42*m**2.
-5*(m - 33)*(m + 3)
Suppose 2214 = -5*p + 3*k, 2*p + 2*k - 7*k + 897 = 0. Let j be ((-2)/(-18))/((-490)/p). Factor -j*d**2 + 1/10*d + 0.
-d*(d - 1)/10
Let p(i) = i**4 - i**3 - i**2 + 3*i + 1. Let q(k) = 2*k**4 + 12*k**3 - 28*k**2 - 52*k + 132. Let x(t) = 4*p(t) - q(t). Find c such that x(c) = 0.
-2, 2, 4
Let 5/2 - 51/4*p + 5/4*p**2 = 0. What is p?
1/5, 10
Let u = -67 + 64. Let o(r) = -5*r**4 - r**3 + 2*r**2 + 19*r - 7. Let v(y) = 2*y**4 + y**3 - y**2 - 9*y + 3. Let d(g) = u*o(g) - 7*v(g). Factor d(s).
s*(s - 3)*(s - 2)*(s + 1)
Let d be (-1)/(5/225) - 3. Let b = -42 - d. What is i in i**4 - 6*i**3 - 135 + 13*i**4 + b*i**5 + 143 - 22*i**2 = 0?
-2, -1, 2/3, 1
Let j(f) = -f**2 + 18*f + 525. Let b be j(33). Let m be 5/b*(-6)/8*-2. What is h in -m - 1/2*h - 1/4*h**2 = 0?
-1
Suppose -2*d + 105 = 5*q, -12*d + 3*q + 145 = -8*d. Let p be 13*(-8)/d - -3. Find f such that -p*f**2 + 4/5*f - 2/5 = 0.
1
Let -73*y - 53*y**2 + 12*y**2 - 12319*y**3 + y**4 - 12417*y**3 + 74 + 24809*y**3 - 34*y**2 = 0. What is y?
-74, -1, 1
Suppose -5*g = -5*k, k - 21 = -k - 5*g. Suppose 2*d - 1 = 5*z, d = -0*d + k*z. Solve -2 - w**2 + w**2 + 342*w**d - 343*w**3 + 3*w = 0 for w.
-2, 1
Let i(l) = -l**2 + 13*l + 144. Let h be i(-7). Factor -33*y**2 - 31*y**3 - 31*y**4 - y**5 - 47*y + 64*y**h + 79*y.
-y*(y - 32)*(y - 1)**2*(y + 1)
Let i(r) be the third derivative of 19/3*r**3 + 145/24*r**4 + 17/60*r**5 + 0*r - 19*r**2 + 0. Let x(w) = -w**2 + 1. Let b(m) = -i(m) + 3*x(m). Solve b(y) = 0.
-7, -1/4
Let g(y) be the second derivative of -y**7/42 - 137*y**6/30 - 801*y**5/4 + 49421*y**4/12 + 26645*y**3/3 - 6589*y + 1. Suppose g(x) = 0. Calculate x.
-73, -1, 0, 10
Let i(n) = 34*n + 48. Let r be i(7). Factor -r*j**3 + 618*j**3 + 4*j + 240*j**4 - 25*j**2 - 292*j**3 - 9*j.
5*j*(3*j - 1)*(4*j + 1)**2
Let h(x) = -3*x**2 - 11046*x - 11071. Let z(a) = -a**2 - 5522*a - 5537. Let k(w) = 4*h(w) - 7*z(w). Determine s so that k(s) = 0.
-1105, -1
Let l(o) be the first derivative of 51 + 4805*o - 155*o**2 + 5/3*o**3. Factor l(m).
5*(m - 31)**2
Let y(p) = 17*p**3 + 3*p - 2. Suppose a + 0*a = 1. Let j be y(a). Factor z + 0 + j*z**2 - 17*z**2 + 0.
z*(z + 1)
Factor -124 - 427810*c + 2*c**3 + 427744*c + 0*c**3 + 60*c**2 + 0*c**3.
2*(c - 2)*(c + 1)*(c + 31)
Let o(t) be the first derivative of 3*t**4/4 - 9*t**3 - 72*t**2 + 1344*t + 1746. Factor o(j).
3*(j - 8)**2*(j + 7)
Let o(x) be the third derivative of x**8/168 - 3*x**7/35 + x**6/2 - 22*x**5/15 + 2*x**4 - x**2 + 71. Suppose o(i) = 0. Calculate i.
0, 2, 3
Let h be (-2)/(-15) - 2168/60. Let p be 20/h*(0 - 30/25). What is l in p*l**2 + 0 - 4/3*l = 0?
0, 2
Let q(j) be the first derivative of -j**4/6 + 82*j**3/9 - 79*j**2/3 + 26*j - 1342. Factor q(f).
-2*(f - 39)*(f - 1)**2/3
Let l(r) = -2*r + 3. Let h(x) = x**2 + 5888*x + 8655358. Let v(o) = -h(o) - 2*l(o). Determine u so that v(u) = 0.
-2942
Let t(l) = l**3 - 2*l**2 + 27*l + 74. Let v be t(-2). Suppose 1/4*g**v - 1/4*g**2 + 