1. Let n be w(-1). Determine u so that -n*u**2 - 26*u - 14 - 53*u**2 + 96*u**2 = 0.
-1/2, 7
Let d be (-16 + (-1470)/(-45) + -17)/(5/(-147)). Factor 1/5*n**2 + d - 14/5*n.
(n - 7)**2/5
Let b(q) be the first derivative of 16/3*q**3 + q**4 + 0*q + 8*q**2 + 280. Factor b(w).
4*w*(w + 2)**2
Let l = 299 + -297. Factor -8 - 3 + 4*q**3 + 3*q**l + 11.
q**2*(4*q + 3)
Let t(l) = 4*l**2 - 2*l - 2. Let j be t(-1). Solve 16*d**4 + 67*d**2 - d**2 - 2*d**4 - 22*d + 75*d**3 + 31*d + 4*d**j = 0.
-3, -1, -1/6, 0
Let k(v) be the second derivative of -46*v**3 + 481/6*v**4 + 26*v + 64/15*v**6 + 184/5*v**5 + 9*v**2 + 0. What is n in k(n) = 0?
-3, 1/8
Let -157 + 32 - 177 - 425*a + 16 + 8*a**2 - 4*a**3 + 7*a**3 = 0. Calculate a.
-13, -2/3, 11
Let q(h) be the third derivative of 0 - 1/960*h**6 - 3/80*h**5 + 1/192*h**4 + 0*h + 3/8*h**3 - 210*h**2. Factor q(y).
-(y - 1)*(y + 1)*(y + 18)/8
Suppose 57 = 7*t - 125. Solve 47 + 15*z**2 + 34 + t*z + 9 - 13*z**2 - 18 = 0 for z.
-9, -4
Let f = -14546 - -14548. Let n be (2/(-5))/(2/(-10)). Factor -2/3*o**n + 0 + f*o.
-2*o*(o - 3)/3
Let z(j) be the third derivative of j**6/600 - 83*j**5/300 + 131*j**4/30 + 304*j**3/15 - 11*j**2 - 175*j. Factor z(f).
(f - 76)*(f - 8)*(f + 1)/5
Let z(r) be the third derivative of -r**8/33600 + r**7/600 - 13*r**6/1200 - 9*r**5/20 + 9*r**2 - 1. Let m(n) be the third derivative of z(n). Factor m(a).
-3*(a - 13)*(a - 1)/5
Let z(w) be the first derivative of 3/10*w**2 - 1/15*w**3 - 2/5*w - 27. Factor z(i).
-(i - 2)*(i - 1)/5
Let u(p) = 8*p - 3. Let z be u(3). Suppose 0*t + 4*m = 3*t - 70, 0 = -4*m + 20. Factor t - z*s**2 - 26*s + 96*s + 29*s.
-3*(s - 5)*(7*s + 2)
Let z(w) = w**3 - 34*w**2 - w + 34. Let j be z(34). Suppose -60 = -30*n - j*n. Factor -16*x**n + 8/3*x + 0 - 20*x**4 + 92/3*x**3 + 25/6*x**5.
x*(x - 2)**2*(5*x - 2)**2/6
Let n be -2*((-20)/(-1680)*-6 - (-54)/(-28)). Factor -1/3*p**2 - 12 - n*p.
-(p + 6)**2/3
Factor -1/6*f**2 + 3/2 + 4/3*f.
-(f - 9)*(f + 1)/6
Let t be ((-3)/2)/((-2)/4). Suppose -12*x = -18*x + 12. Solve -18*s**x + 10*s**t - 24 - 6*s - 30*s + 9*s**3 - 22*s**3 = 0 for s.
-2
Let m(g) be the second derivative of g**6/24 + 2*g**5/3 - 15*g**4/8 - 27*g**2 - g + 14. Let z(l) be the first derivative of m(l). Factor z(x).
5*x*(x - 1)*(x + 9)
Let h be 2/11 - 12/33*-5. Suppose h*c = 5*s - 88, -14*s - 4*c = -18*s + 80. Factor 1/4*u**2 + 4*u + s.
(u + 8)**2/4
Suppose 53 = -5*t + s, t + 1 = -0*s - 3*s. Let h be (t - -9)/((-1)/3). Factor -10 - 63*z**3 - 58*z**h + 116*z**3 + 15*z.
-5*(z - 1)**2*(z + 2)
Let b(t) be the second derivative of -t**5/70 - 331*t**4/21 + 1327*t**3/21 - 664*t**2/7 - 2*t + 3281. Find z, given that b(z) = 0.
-664, 1
Determine l so that 9/5*l**4 - 473/5*l**2 - 32/5 - 273/5*l**3 - 223/5*l = 0.
-1, -1/3, 32
Find r such that -84 - 4/9*r**2 - 40/3*r = 0.
-21, -9
Suppose 0 = -3013*t + 3026*t - 52. Let b(l) be the third derivative of 0*l**3 + 0 + 1/150*l**6 - 1/30*l**t + 9*l**2 + 0*l**5 + 0*l. Solve b(s) = 0.
-1, 0, 1
Let a = 145401 - 145397. Determine b, given that -20/7*b + 6/7*b**a - 32/7 + 8*b**3 + 62/7*b**2 = 0.
-8, -1, 2/3
Factor 1457*t - 2122849/2 - 1/2*t**2.
-(t - 1457)**2/2
Factor -686*q - 1030/3 + 2/3*q**3 - 342*q**2.
2*(q - 515)*(q + 1)**2/3
Let u(p) be the third derivative of -p**7/42 - p**6/6 + 65*p**5/12 - 55*p**4/2 + 8782*p**2. Factor u(c).
-5*c*(c - 4)*(c - 3)*(c + 11)
Let a(w) be the third derivative of -109*w**2 - 7/72*w**4 + 0*w + 0 - 1/9*w**3 - 2/45*w**5 - 1/120*w**6. Factor a(g).
-(g + 1)**2*(3*g + 2)/3
Suppose 0 = 2*f - 5*p + 198, 592 - 97 = -5*f + 4*p. Let g be 18/f + (-3352)/(-286). Let -2/13*l**3 - g*l - 30/13*l**2 - 250/13 = 0. Calculate l.
-5
Let x(o) = 13*o**3 + 15*o**2 + 137*o + 321. Let u(c) = 37*c**3 + 46*c**2 + 412*c + 962. Let a(t) = -6*u(t) + 17*x(t). Factor a(h).
-(h + 5)*(h + 7)*(h + 9)
Let u(j) be the third derivative of 0 + 1/660*j**6 + 1/44*j**4 + 0*j**3 + 2/165*j**5 + 0*j + 109*j**2. Factor u(r).
2*r*(r + 1)*(r + 3)/11
Let u(n) = -n**3 - 8*n**2 - 17*n - 3. Let g be u(-3). Let 0*y**3 + 0*y**g - 1587*y - 3*y**3 + 377*y**2 - 239*y**2 = 0. What is y?
0, 23
Let w be 51 - 61 - ((-175)/15 + -1). Factor -10/3*h + 0 + 1/6*h**4 - w*h**2 - 1/6*h**3.
h*(h - 5)*(h + 2)**2/6
Let m(y) = y**3 - 294*y**2 - 607*y + 920. Let c(r) = -3*r**3 + 587*r**2 + 1216*r - 1835. Let q(l) = 4*c(l) + 7*m(l). Factor q(j).
-5*(j - 60)*(j - 1)*(j + 3)
Suppose 11*r - 8*r - 150 = 0. Suppose r*k + 10*k - 120 = 0. Factor 4/5*b**k + 12/5*b**3 - 12/5*b - 8/5 + 4/5*b**4.
4*(b - 1)*(b + 1)**2*(b + 2)/5
Let y(i) = 18*i**2 - 1171*i + 68. Let r be y(65). Suppose -6/5*x**r + 6/5*x**2 + 0 - 2/5*x + 2/5*x**4 = 0. Calculate x.
0, 1
Let x(s) be the first derivative of -16*s - 1/10*s**4 - 44/5*s**2 - 28/15*s**3 + 180. Factor x(m).
-2*(m + 2)**2*(m + 10)/5
Suppose -25 = -10*v + 5. Find j such that -9*j**2 - 3*j**v + 11*j**3 - 32*j**3 + 6*j - 9*j**4 = 0.
-2, -1, 0, 1/3
Let x = -109806 - -1647122/15. Let 8/3 + x*a + 2/15*a**4 - 8/15*a**3 - 6/5*a**2 = 0. Calculate a.
-2, -1, 2, 5
Let -54/5 - 3*l - 1/5*l**2 = 0. What is l?
-9, -6
Suppose -t + 145 = 3*j, 0 = -j + t - 5*t + 63. Factor -18 - 22*y**2 + 21*y**2 - j*y - 4*y**2.
-(y + 9)*(5*y + 2)
Suppose 8/3*j - 10/3*j**3 + 72 + 2/3*j**5 + 18*j**4 - 90*j**2 = 0. What is j?
-27, -2, -1, 1, 2
Let b(i) be the second derivative of 3/80*i**5 + 3 + 0*i**2 - 15/8*i**3 + 4*i + 1/8*i**4. Factor b(g).
3*g*(g - 3)*(g + 5)/4
Factor -98 + 763/3*d + 5/9*d**3 - 212/9*d**2.
(d - 21)**2*(5*d - 2)/9
Let j(f) be the second derivative of -6*f - f**3 - f**2 - 2*f + 2*f**3. Let r(h) = -h**2 + 24*h - 9. Let b(q) = -9*j(q) + 2*r(q). Let b(n) = 0. Calculate n.
-3, 0
Let i(o) be the second derivative of -2*o**6/15 + 10*o**5 - 188*o**4/3 + 368*o**3/3 - 4219*o. Factor i(x).
-4*x*(x - 46)*(x - 2)**2
Let t(m) be the second derivative of -2/33*m**3 - 10 + 0*m**2 + 6*m - 1/66*m**4. Factor t(z).
-2*z*(z + 2)/11
Let k(i) = i**2 - i + 2. Let n(g) = 56 + 167*g - 196*g + 5*g**2 - 10. Let s(l) = -2*k(l) + n(l). Suppose s(m) = 0. Calculate m.
2, 7
Factor 15/2*o - 2 + 2*o**2.
(o + 4)*(4*o - 1)/2
Let i(u) be the third derivative of -u**5/20 - 785*u**4/4 - 616225*u**3/2 + 2*u**2 + 1392. Factor i(m).
-3*(m + 785)**2
Let i(r) = -2*r**2 + 478*r - 972. Let a(n) = -3*n**2 + 477*n - 970. Let h(w) = 6*a(w) - 7*i(w). Find o, given that h(o) = 0.
-123, 2
Let s be ((-144)/(-32) - (-6100)/(-360))/(-2*(-2)/(-2744)). Factor -2/9*w**5 + 21952/9*w**2 + 112/9*w**4 + 0 - s*w - 784/3*w**3.
-2*w*(w - 14)**4/9
Let f(k) = 3*k - 21. Let o be f(7). Suppose -2*i = 4*y - o*i - 16, -20 = -4*y - i. Factor -18*m - 13*m - y*m**2 + 3*m**3 + 34*m.
3*m*(m - 1)**2
Let h(m) = 2*m**3 + 116*m**2 + 104. Let i be h(-58). Let z(j) = j**2 - 5*j + 7. Let v be z(5). Determine c, given that 102*c**2 - 3*c + v*c - i*c**2 + 4*c = 0.
0, 4
Let w be (-18)/11 + 473121/235224. Solve 0*y - w*y**2 + 0 = 0.
0
Let q(w) be the third derivative of -w**5/20 + 2005*w**4/24 - 334*w**3/3 - 3606*w**2. Solve q(i) = 0.
1/3, 668
Suppose 2*l + 464 = 470. Determine f so that -42*f**l - f**4 + 44*f**3 + 1 + 37*f - 39*f = 0.
-1, 1
Let x be ((-566)/220)/(11/(-22)) + -5. Let a(k) be the first derivative of 0*k - 2/33*k**3 - 5/22*k**4 + 3 + 0*k**2 - x*k**5. Factor a(c).
-2*c**2*(c + 1)*(4*c + 1)/11
Let d(n) be the second derivative of -n**6/345 + 77*n**5/230 + 79*n**4/46 + 239*n**3/69 + 80*n**2/23 + 89*n - 4. What is o in d(o) = 0?
-1, 80
Let x(v) = -21*v**2 - 222*v + 225. Let h(a) = -53*a**2 - 445*a + 453. Let l(g) = 4*h(g) - 10*x(g). Find q, given that l(q) = 0.
1, 219
Factor 174/13*n**2 + 2/13*n**3 - 180/13*n - 352/13.
2*(n - 2)*(n + 1)*(n + 88)/13
Let z(n) = 5*n**2 - 17*n + 8. Let i(p) = -2. Let j(s) = -s**2 - s - 13. Let l(v) = -6*i(v) + j(v). Let d(u) = 4*l(u) + 2*z(u). Factor d(h).
2*(h - 6)*(3*h - 1)
Let s(c) be the third derivative of 0 - 7/270*c**5 - 13/540*c**6 - 8*c**2 - 1/189*c**7 + 0*c**4 + 0*c + 0*c**3 + 1/1512*c**8. Find f such that s(f) = 0.
-1, 0, 7
Let g be (-328)/(-84) - 6/(-63). Let h(t) be the third derivative of -3/10*t**5 - 1/40*t**6 + 0 - 9/8*t**g - 29*t**2 + 0*t - 2*t**3. Factor h(z).
-3*(z + 1)**2*(z + 4)
Let -11236/5 + 168964/5*q + 12*q**3 - 6364/5*q**2 = 0. What is q?
1/15, 53
Determine d, given that -64/5*d**4 - 1152*d + 0 - 10336/5*d**3 - 15396/5*d**2 = 0.
-160, -3/4, 0
Let z(f) be the second derivative of 5*f**7/42 + f**6/3 - f*