tive of -1/168*w**7 + 7/30*w**6 + 85 + 2*w - 27/80*w**5 + 0*w**2 + 0*w**4 + 0*w**3. Factor r(y).
-y**3*(y - 27)*(y - 1)/4
Let o(s) = -8*s**4 - 50*s**3 - 11*s**2 - 6*s + 12. Let b(v) = 7*v**4 + 42*v**3 + 10*v**2 + 6*v - 11. Let k(i) = 7*b(i) + 6*o(i). Factor k(z).
(z - 5)*(z - 1)**2*(z + 1)
Let 3515*s**2 + 9727*s**2 + 2272712 - 308680*s + 2*s**4 + 22992*s - 268*s**3 = 0. Calculate s.
26, 41
Let y(b) = -7*b**2 + b + 1. Let z(o) = 3*o**3 - 262*o**2 + 6346*o - 2. Let w(x) = -2*y(x) - z(x). Factor w(t).
-3*t*(t - 46)**2
Let z(x) = x**3 - 39*x**2 + 110*x - 26. Let c be z(36). Let t be -37 + c - 3*3. Factor 1/3*g**4 + 0 + 0*g**2 + t*g**3 + 0*g.
g**4/3
Let j be 48/(-18)*(2/8 - 1). Let c(f) be the first derivative of 1/3*f**4 - 1/3*f**j + 13 - 4/27*f**3 - 1/9*f**6 + 2/9*f + 2/45*f**5. Let c(x) = 0. Calculate x.
-1, 1/3, 1
Let k(a) be the second derivative of 1/4*a**5 + 55/2*a**3 - 16 + 90*a**2 - 4*a + 25/6*a**4. Suppose k(n) = 0. Calculate n.
-4, -3
Let h = -17073/1030 - 54/103. Let w = h - -35/2. Factor 0*f + 0 - 2/5*f**3 + 0*f**2 + w*f**4.
2*f**3*(f - 1)/5
Let w(y) = -64*y**2 - 1056*y + 1092. Let g(x) = 7*x**2 + 117*x - 121. Let d(r) = 28*g(r) + 3*w(r). Factor d(o).
4*(o - 1)*(o + 28)
Let i(r) be the first derivative of -16/15*r**3 + 4/5*r**4 - 2/15*r**6 + 0*r**2 + 235 + 4/25*r**5 + 0*r. Determine f, given that i(f) = 0.
-2, 0, 1, 2
Let t(l) = 0*l**2 + 0*l**2 - 3*l**3 + 2*l**3. Let n(h) = 769 - h**2 - 381 + h**3 - 388. Let q(o) = n(o) + 2*t(o). Factor q(f).
-f**2*(f + 1)
Factor 126/5*v**3 - 8064/5*v + 4096/5 + 3841/5*v**2 + 1/5*v**4.
(v - 1)**2*(v + 64)**2/5
Let d be (-5)/(15/3978) - 8. Let o = -1332 - d. Factor 1/3*p**o - 5/3*p + 4/3.
(p - 4)*(p - 1)/3
Let b be (-15 - (32 + -12)) + 37. Let 20/11*s**b - 16/11*s**3 + 1/11*s**4 + 1/11*s**5 + 0 + 0*s = 0. Calculate s.
-5, 0, 2
Factor -996*a**2 - 1398*a**2 - 44*a**3 + 142*a**3 - 55*a**3 - 40*a**3.
3*a**2*(a - 798)
Let a(v) = 9*v**4 - 56*v**3 - 98*v**2 + 11*v + 149. Let t(g) = 4*g**4 - 20*g**3 - 50*g**2 + 6*g + 74. Let y(o) = 4*a(o) - 10*t(o). Suppose y(p) = 0. What is p?
-9, -1, 2
Let i(g) = -g**3 + 7*g**2 - 7*g + 9. Let a be i(6). Let w be (168/49)/((-45)/1680*-40). Let w*f + 2/5*f**a + 8/5 + 2*f**2 = 0. Calculate f.
-2, -1
Let y(x) be the third derivative of -x**6/80 + x**5/40 + 15*x**4/8 - 18*x**3 - 2876*x**2. Factor y(u).
-3*(u - 4)*(u - 3)*(u + 6)/2
Let i(n) be the second derivative of 0*n**2 - 9/65*n**5 + 2/13*n**3 - 1/39*n**6 + 0 - 7/78*n**4 + 26*n. Determine c, given that i(c) = 0.
-3, -1, 0, 2/5
Let q = 107690 - 107684. Suppose -3/2*u**3 + q*u + 0 + 0*u**2 = 0. What is u?
-2, 0, 2
Let v = -2/29 + 188/203. Suppose 0 = 88*k - 50112 + 50112. Factor 16/7*f + k*f**3 + v + 12/7*f**2 - 2/7*f**4.
-2*(f - 3)*(f + 1)**3/7
Let f(s) = 2*s**3 + s**2 - s + 2. Let y(c) = 97318 - 19*c**3 + 30*c**2 + 111*c**2 - 3873*c - 12*c**2 - 2466*c. Let h(p) = -18*f(p) - 2*y(p). Solve h(g) = 0.
46
Let b(o) = o**2 - 7249*o + 4. Let k be b(0). What is w in 1/7*w**k + 2/7*w + 5/7*w**2 + 4/7*w**3 + 0 = 0?
-2, -1, 0
Let g = 2697/8 + -673/2. What is h in 0 + 1/2*h + 1/8*h**3 + g*h**2 = 0?
-4, -1, 0
Let g(k) be the third derivative of -k**5/180 - 77*k**4/9 + 42*k**2 + 11*k. Find h, given that g(h) = 0.
-616, 0
Suppose 27*r - 2401 = -22*r. Suppose r*d = 56*d - 28. Find u such that d*u + 16 + 1/4*u**2 = 0.
-8
Let q(b) be the first derivative of -2*b**5/15 - 38*b**4/3 - 724*b**3/9 - 500*b**2/3 - 142*b + 7876. Suppose q(c) = 0. What is c?
-71, -3, -1
Determine q, given that -4304 + 1881*q + 4*q**3 + 3233*q + 3498*q - 4312*q**2 = 0.
1, 1076
Let h(b) be the second derivative of b**4/12 - 142*b**3/3 - 285*b**2/2 - 8*b + 84. Solve h(l) = 0 for l.
-1, 285
Let q(s) be the third derivative of -s**9/12096 - 5*s**8/504 - 13*s**7/336 - 79*s**5/30 + 33*s**2 + 2. Let n(x) be the third derivative of q(x). Factor n(b).
-5*b*(b + 1)*(b + 39)
Let b(h) be the first derivative of 9*h**3/2 - 32313*h**2/4 - 3591*h + 8176. Factor b(u).
3*(u - 1197)*(9*u + 2)/2
Let z be (9/(-21))/((2 - 0)/28*(-188)/141). Factor -10 - 1/2*a**3 - z*a**2 - 12*a.
-(a + 2)**2*(a + 5)/2
Let f(a) = -5*a**4 + 17*a**3 - 6*a**2 + 2*a - 4. Let o(y) = 137*y**4 - 464*y**3 + 162*y**2 - 55*y + 110. Let p(j) = -165*f(j) - 6*o(j). Factor p(k).
3*k**2*(k - 6)*(k - 1)
Let k be ((-180)/(-56))/(4/11 + 525/462). Factor 18/7*p - k - 3/7*p**2.
-3*(p - 5)*(p - 1)/7
Let u(m) be the second derivative of -106*m + 37/24*m**3 + 17/48*m**4 + 0 + 19/8*m**2 - 1/80*m**5. Factor u(t).
-(t - 19)*(t + 1)**2/4
Let b(t) = 2*t**4 + 233*t**3 - 232*t**2 + 24*t. Let w(z) = z**4 + 8*z. Let d(j) = b(j) - 3*w(j). Factor d(i).
-i**2*(i - 232)*(i - 1)
Suppose -1162 = 85*z - 7707. Suppose 5 = -5*b, -75*w - 5*b = -z*w + 5. Suppose -3/4*v**2 + w - 27/4*v = 0. Calculate v.
-9, 0
Let s = -477005 + 6195466/13. Let u = 431 + s. Solve 2/13*o - 2/13*o**2 + u = 0.
-1, 2
Let d(a) be the first derivative of -3*a**5/100 - 9*a**4/20 - 3*a**3/2 - 21*a**2/10 + 2*a + 38. Let i(l) be the first derivative of d(l). Solve i(m) = 0.
-7, -1
Let c(z) = -24*z**2 + 70*z - 198. Let l(o) = -13*o**2 + 34*o - 101. Let g(q) = 4*c(q) - 7*l(q). Factor g(k).
-(k - 5)*(5*k - 17)
Let s(h) be the third derivative of -h**6/660 + h**5/110 + 6*h**4/11 - 108*h**3/11 - h**2 + 106*h. Factor s(g).
-2*(g - 6)**2*(g + 9)/11
Suppose 4*l - 1403 = 4*o - 1371, -2*l - 3*o = 19. Determine h, given that h**4 - 3/4*h**3 - 17/4*h**2 + l + 3*h = 0.
-2, -1/4, 1, 2
Suppose -4*x + 5718 = -3*p - 7*x, -2*x - 1906 = p. Let k = p + 3817/2. Find w such that 1/4*w**3 - 7/4*w**2 + k*w + 0 = 0.
0, 2, 5
Solve 12 + 4*q**2 - 218/3*q = 0.
1/6, 18
Let y(w) be the first derivative of w**4/18 - 10*w**3/3 + 75*w**2 + 99*w + 153. Let j(o) be the first derivative of y(o). Factor j(b).
2*(b - 15)**2/3
Let d(x) = 2*x**3 + 114*x**2 - 2232*x - 49939. Let f(p) = -5*p**3 - 341*p**2 + 6696*p + 149828. Let g(b) = 8*d(b) + 3*f(b). Factor g(i).
(i - 62)**2*(i + 13)
Let f(d) = 5*d**2 - 25*d + 25. Let s be f(4). Suppose 0 = -5*a - 3*a + s*a. Let a + 6/7*t**2 + 6/7*t**3 - 12/7*t = 0. What is t?
-2, 0, 1
Let b(u) = -u**2 - 15*u + 19. Suppose 5*p + 3*r = -95, -7*r = -4*r + 15. Let o be b(p). Factor -15*s + 3*s + 6*s**3 - 2*s**o - 14 + 22.
4*(s - 1)**2*(s + 2)
Let -1/3*j**3 + 0 - 51*j + 154/3*j**2 = 0. Calculate j.
0, 1, 153
Determine b so that -84*b**3 + 7425*b**2 + 3704986*b + 43*b**3 + 46*b**3 - 2760245 - 952171*b = 0.
-743, 1
Let n(u) be the third derivative of -u**6/360 - 13*u**5/120 + 7*u**4/12 + 25*u**3/2 - 240*u**2 + u. Let j(q) be the first derivative of n(q). Factor j(c).
-(c - 1)*(c + 14)
Let v(g) = 2*g - 4*g - 4*g - g**2 + 2 + 14. Let d be v(-7). Solve 20 + d*f**3 + 18 + 3*f**4 - 38 - 3*f**5 - 6*f - 3*f**2 = 0.
-1, 0, 1, 2
Let z be 6*((-26129)/1749 + 15). Suppose -136/11*v**2 - 50/11*v - z = 0. What is v?
-1/4, -2/17
Let u(a) = 3*a**3 + 70*a**2 - 237*a. Let w(v) = 35*v**3 + 840*v**2 - 2845*v. Let c(h) = -95*u(h) + 8*w(h). Factor c(x).
-5*x*(x - 7)**2
Let n be -6*3*(-2)/(-20)*-831. Let v = -1495 + n. Let 0 - 4/5*q + v*q**2 = 0. Calculate q.
0, 1
Suppose 374*b - 195 = 309*b. Suppose -54/13*g**2 - 1944/13 + 2/13*g**5 + 6/13*g**4 + 1296/13*g - 90/13*g**b = 0. Calculate g.
-6, 3
Let a be (2/14)/((-24)/(-82680)). Let d = a + -485. Let 6*u**2 - 40/7*u**3 + 8/7 - d*u**4 + 40/7*u = 0. Calculate u.
-1, -2/5, 1
Let l = -53662 + 53662. Factor 3/2*r**2 + 15/2*r + l.
3*r*(r + 5)/2
Let h(a) be the first derivative of 87*a**4/4 + 176*a**3 + 366*a**2 + 48*a - 1746. What is y in h(y) = 0?
-4, -2, -2/29
Suppose 30*f - 36 = 24*f. Find k such that f*k**3 - k**3 - 20 + 45*k - 39*k**2 + 9*k**2 = 0.
1, 4
Let w = 168 - 671/4. Let z = -493/9 - -995/18. Determine s so that 0 - w*s - 1/4*s**3 + z*s**2 = 0.
0, 1
Suppose -50*a = -66*a + 144. Suppose -25*u + a*u = 5*u. Factor u*p**2 + 3/7*p**4 + 0*p + 0 + 27/7*p**3.
3*p**3*(p + 9)/7
Let y(v) = v**2 + 3*v - 2. Let x be y(-4). Factor 3*o**2 - 5*o**x - 3*o**4 + 46*o**3 - 39*o**3.
-o**2*(o - 2)*(3*o - 1)
Let w = 527526/5 + -105095. Let s = w - 409. Factor -s + 1/5*z**3 + 4/5*z**2 + 1/5*z.
(z - 1)*(z + 2)*(z + 3)/5
Let f(v) be the third derivative of -2601*v**6/160 - 2091*v**5/80 + 485*v**4/32 - 25*v**3/8 + 1769*v**2. Suppose f(r) = 0. Calculate r.
-1, 5/51
Solve 0*x + 4/11*x**3 + 14/11*x**4 + 8/11*x**5 - 2/11*x**2 + 0 = 0.
-1, 0, 1/4
Suppose 3*d - 7*d + l + 10 = 0, 0 = -3*d - 3*