9. Suppose p = -p + 2*x + 190, -x + q = p. Factor 102 + 10*o - p + 26*o + 16*o**2.
4*(o + 2)*(4*o + 1)
Let w(u) = 3*u**2 - 34*u + 33. Let r(f) = -10*f**2 + 100*f - 97. Let q(x) = 2*r(x) + 7*w(x). Factor q(a).
(a - 37)*(a - 1)
Let y(o) be the first derivative of -o**5/90 + o**4/12 - 2*o**3/9 + 49*o**2/2 + 22. Let n(i) be the second derivative of y(i). Let n(w) = 0. Calculate w.
1, 2
Let b(x) be the third derivative of -x**5/330 - 10*x**4/33 - 400*x**3/33 - 1727*x**2. Factor b(i).
-2*(i + 20)**2/11
Let k(x) be the first derivative of 16*x**3 - 32*x**2 + 0*x**4 + 0*x - 16 - 4/5*x**5. Solve k(q) = 0.
-4, 0, 2
Let k(y) be the first derivative of -y**6/6 - 9*y**5/5 - 7*y**4/2 - 229. Factor k(t).
-t**3*(t + 2)*(t + 7)
Let p be ((-5523)/(-756) - 8) + (-204)/(-48). Factor 10*o + 36 + 2/9*o**3 - p*o**2.
2*(o - 9)**2*(o + 2)/9
Let q(g) be the second derivative of g**5/70 + 7*g**4/6 + 86*g**3/7 - 464*g. Find w, given that q(w) = 0.
-43, -6, 0
Let h = 347 + -340. Suppose 5*o = 5*z - 15, -3*o = h*z - 6*z + 1. Suppose -9/2*f + 0 + 3/2*f**z = 0. What is f?
0, 3
Let p(a) = 180*a**3 - 220*a**2 + 29*a + 11. Let w = -46 - -7. Let d = w - -41. Let t(z) = 36*z**3 - 44*z**2 + 6*z + 2. Let n(m) = d*p(m) - 11*t(m). Factor n(b).
-4*b*(b - 1)*(9*b - 2)
Let i = 15884/111 - 15514/111. Solve 8/3*u - 2/3*u**2 + i = 0 for u.
-1, 5
Let u = 302411 - 302407. Factor -u*v + 0 - 2/5*v**2.
-2*v*(v + 10)/5
Let l(t) be the first derivative of t**4/4 - 4*t**3/3 + 3*t**2/2 - 50. Let c(g) = -g**2 + g. Let b(a) = -5*c(a) + l(a). Factor b(z).
z*(z - 1)*(z + 2)
Let i(d) = d**3 + 4*d**2 - 4*d + 7. Let n be i(-5). Let -450 + 53*t + 7*t + 0*t**2 - 2*t**n = 0. What is t?
15
Let d(r) be the third derivative of r**8/112 + 2181*r**7/70 + 1565*r**2 - 1. Find u such that d(u) = 0.
-2181, 0
Let x = -165 - -166. Suppose 3*q + q + 1097*q**2 - 7 + x - 1095*q**2 = 0. What is q?
-3, 1
Let c(f) be the third derivative of -7/75*f**5 - 20*f**2 + 0*f + 3/2*f**3 - 1/60*f**6 - 1/20*f**4 - 1/1050*f**7 - 1. Suppose c(g) = 0. What is g?
-5, -3, 1
Suppose -5*f - 134 = 3*p + 288, -4*p - 3*f - 570 = 0. Let a be ((-2)/56*2)/(6/p). Find j, given that 18/7 + 2/7*j**2 - a*j = 0.
3
Let f(w) be the second derivative of 8*w**7/63 - 41*w**5/5 - 121*w**4/9 - 20*w**3/3 - 7*w + 168. Let f(v) = 0. Calculate v.
-5, -1/2, 0, 6
Let u be (14/(-84)*150 - -23)*(-6)/16. Find p such that -u*p**4 + 0 + 0*p**2 - 39/4*p**3 + 0*p = 0.
-13, 0
Let x(p) = 6*p**2 + p + 12. Let t(k) be the second derivative of 0*k**3 - 11*k + k**2 + 0 + 1/12*k**4. Let a(i) = -34*t(i) + 6*x(i). Factor a(v).
2*(v + 1)*(v + 2)
Let h = 1889 - 1885. Let s(x) be the second derivative of 0*x**2 + 1/36*x**h + 0 - 9*x - 1/18*x**3. Factor s(b).
b*(b - 1)/3
Let d = 57932 - 173780/3. Determine z, given that -10/3*z**2 + d*z - 2/3*z**3 + 8 = 0.
-6, -1, 2
Let w be (0 - 2)*((-5)/((-30)/(-48)) + 7). Suppose -12 + 10 = -d. Factor -7/2*t + d*t**w + 3/2.
(t - 1)*(4*t - 3)/2
Let o(a) be the third derivative of a**8/161280 - a**6/1440 + a**5/60 + 5*a**3/6 - 2*a**2 + 4*a. Let w(s) be the third derivative of o(s). Factor w(k).
(k - 2)*(k + 2)/8
Let r be 48/26 - 2*(-8)/104. Determine l, given that 15*l**4 + 5*l**5 + 63*l**3 + 5*l**r - 112*l**3 + 64*l**3 = 0.
-1, 0
Let v(r) be the first derivative of -44 - 1/12*r**3 + 0*r**2 + r. Factor v(k).
-(k - 2)*(k + 2)/4
Let t(z) be the second derivative of -z**8/3360 + z**6/720 + 164*z**3/3 - 25*z - 6. Let s(u) be the second derivative of t(u). Let s(r) = 0. Calculate r.
-1, 0, 1
Let y(w) = 248*w - 2972. Let u be y(12). Let l(v) be the first derivative of -45/4*v**u - 6 + 45/2*v**2 + 65/3*v**3 - 11*v**5 - 10*v. Solve l(n) = 0 for n.
-1, 2/11, 1
Let i(n) be the first derivative of -15*n**2 + 110 - 5/3*n**3 - 25*n. Factor i(l).
-5*(l + 1)*(l + 5)
Let h(p) be the second derivative of p**7/4200 + p**6/240 + 3*p**5/100 + 5*p**4/4 - p**2/2 - 17*p. Let g(u) be the third derivative of h(u). Factor g(x).
3*(x + 2)*(x + 3)/5
Let a(s) = -9*s - 253. Let l be a(-31). Factor 24*o**2 - 14*o - l*o**2 + 34 - 18*o.
-2*(o - 1)*(o + 17)
Let q = 733 + -727. Let d = 1 + 1. Factor -64*y**2 + q*y + 129*y**2 - 73*y**2 + d*y**3.
2*y*(y - 3)*(y - 1)
Let u(h) be the first derivative of 2*h**3/15 + 30*h**2 - 310*h + 6676. Find q such that u(q) = 0.
-155, 5
Suppose s + 5*i - 1295 = 6*s, i + 1 = 0. Let z be ((-1)/(-2))/((-39)/s). Solve 8/3*a**3 + 16/3*a**2 + 2/3 + z*a = 0 for a.
-1, -1/2
Suppose 642*t + 75/2*t**5 + 0 - 2562*t**2 + 1557/2*t**3 + 4020*t**4 = 0. Calculate t.
-107, -1, 0, 2/5
Factor 272/7 - 160/7*i - 44/7*i**2 + 4*i**3.
4*(i - 2)**2*(7*i + 17)/7
Let p = -34807/12 + 2901. Let b(r) be the first derivative of 0*r**2 + 12 - p*r**3 + 0*r + r**5 - 15/16*r**4. Solve b(w) = 0 for w.
-1/4, 0, 1
Let -306*g - 206*g + 23*g**2 - 17*g + 23*g**2 - 3599*g**3 + 3598*g**3 = 0. Calculate g.
0, 23
Factor 5*v + 40 - 1704*v**3 + 1701*v**3 - 2*v + 356 - 396*v**2.
-3*(v - 1)*(v + 1)*(v + 132)
What is w in 60/7 + 6/7*w**2 + 6*w = 0?
-5, -2
Let h = 372999 - 1491993/4. Find x such that 0 - h*x**4 + x**2 + 0*x + 0*x**3 + 1/4*x**5 = 0.
-1, 0, 2
Solve -8/3*q**2 + 20 - 22/3*q + 2/3*q**3 = 0.
-3, 2, 5
Let c(x) be the second derivative of x**7/15120 - x**6/540 - 11*x**4/3 - 2*x + 28. Let o(l) be the third derivative of c(l). Let o(p) = 0. What is p?
0, 8
Suppose -145 = -3*h + 4*o, -h - 2*o + 80 = 3*o. Suppose v + 6 - 8*v - h*v**2 + 56*v**2 = 0. What is v?
1, 6
Let w(l) be the second derivative of -3*l**5/8 - 29*l**4/6 - 37*l**3/3 + 12*l**2 + 11051*l. Let w(j) = 0. Calculate j.
-6, -2, 4/15
Let x(s) be the first derivative of s**4/18 + 4*s**3/3 + 9*s**2 - 1755. Suppose x(h) = 0. What is h?
-9, 0
Let c(s) be the first derivative of 3*s**5/20 - 3*s**4/16 - 21*s**3/4 + 123*s**2/8 - 15*s - 2204. Factor c(g).
3*(g - 4)*(g - 1)**2*(g + 5)/4
Let m = -2462789/5 + 492559. Factor -32/5*z**2 + 28/5 + m*z**3 - 74/5*z.
2*(z - 7)*(z + 2)*(3*z - 1)/5
Let i be -3 - (3/6)/(5/(-70)). Let y(m) = -m**3 + 5*m**2 - 5*m + 6. Let g be y(i). Suppose 4/3*o + 4/3 + 1/3*o**g = 0. Calculate o.
-2
Let h(u) be the third derivative of u**7/525 - 3*u**6/25 - 8*u**5/15 + 12*u**4/5 + 304*u**3/15 + 3*u**2 + 66*u. Solve h(d) = 0 for d.
-2, 2, 38
Let w(o) be the second derivative of 28/3*o**3 + 0 + 64*o - 13/4*o**4 - 49/4*o**2 - 1/60*o**6 + 2/5*o**5. Let w(i) = 0. What is i?
1, 7
Let c(g) be the second derivative of g**6/6 + 7*g**5/4 + 5*g**4/2 - 70*g**3/3 - 100*g**2 + 16*g - 55. Factor c(a).
5*(a - 2)*(a + 2)**2*(a + 5)
Let i be 8/((-400)/(-48245)) + 5/50. Let w = i + -8683/9. Suppose -2/3*l - 20/9 + w*l**2 = 0. Calculate l.
-2, 5
Factor -192/5*i + 51/5*i**2 + 144/5 - 3/5*i**3.
-3*(i - 12)*(i - 4)*(i - 1)/5
Find w, given that -10/9*w**4 + 790/9*w + 350/9 + 524/9*w**2 + 76/9*w**3 - 2/9*w**5 = 0.
-5, -1, 7
Let y(g) = -2*g**4 - 26*g**3 - 66*g**2 - 32*g + 5. Let o(w) = w**4 + 14*w**3 + 33*w**2 + 16*w - 2. Let c(q) = -5*o(q) - 2*y(q). Factor c(k).
-k*(k + 1)**2*(k + 16)
Let u = 25325/29 - 278401/319. Factor 64/11*z + u*z**3 + 100/11*z**2 + 0.
2*z*(z + 16)*(3*z + 2)/11
Let q(b) be the first derivative of 2*b**3/3 - 3*b**2/2 + 2*b - 54. Let v be q(0). Let -3*l**v - 12/5 - 32/5*l + 9/5*l**3 = 0. What is l?
-2/3, 3
Let k be (2/(-4))/(12/(-168)). Let i = k + 29. Factor -25 - 3*f**2 - 12*f + i - 23.
-3*(f + 2)**2
Let h(o) = 105*o**2 - 3458*o - 229. Let f be h(33). Determine m, given that -2/15*m**4 + 32/15*m - 52/15*m**f + 22/15*m**3 + 0 = 0.
0, 1, 2, 8
Let q(c) be the second derivative of 46*c - 1/66*c**4 + 0 - 100/11*c**2 + 20/33*c**3. Factor q(u).
-2*(u - 10)**2/11
Let g be -2*(4 - (7 + 5 + -7)). Suppose -6*u**2 + 8*u + 6*u + 2*u**g + 3*u**2 = 0. Calculate u.
0, 14
Let q = 27 + -23. Suppose q*l + 2*y = -1 + 19, 3*l - 5*y = 7. Find f such that -2 - 2*f + 8*f**3 + 6 - l*f**4 - 6*f = 0.
-1, 1
What is m in -501*m**2 + 263*m**2 - 286 + 349*m + 105 - 5*m**5 + 296*m**4 + 123 - 344*m**3 = 0?
-1, 1/5, 1, 58
Let m(j) be the second derivative of j**6/50 - 497*j**5/10 + 171672*j**4/5 - 228528*j**3/5 - 1953*j. What is d in m(d) = 0?
0, 2/3, 828
Let t(c) be the third derivative of c**5/20 + 79*c**4/4 + 6241*c**3/2 + 866*c**2. Factor t(y).
3*(y + 79)**2
Let d(u) be the second derivative of -u**6/6 - 3*u**5/2 + 5*u**4 + 175*u**3/3 - 375*u**2/2 - u + 50. Factor d(p).
-5*(p - 3)*(p - 1)*(p + 5)**2
Let h = -11221 - -1683151/150. Let a(v) be the second d