Let t(z) be the second derivative of 529/3*z**3 + 0 + 158*z + 1/10*z**5 + 0*z**2 - 23/3*z**4. Factor t(a).
2*a*(a - 23)**2
Let l(p) = 174*p - 3652. Let n be l(21). Factor -3*u**n - 3/8*u**3 + 75/4 - 15/8*u.
-3*(u - 2)*(u + 5)**2/8
Let u(x) be the second derivative of -x**6/10 - 21*x**5/20 + 17*x**4 + 24*x**3 - 864*x**2 - 263*x - 5. Factor u(g).
-3*(g - 4)**2*(g + 3)*(g + 12)
Let r be -2 - -4 - (-71 + 14)/19. Let p(y) be the third derivative of 0*y**4 + 0 - 1/120*y**r + 0*y + 10*y**2 - 1/480*y**6 + 0*y**3. Solve p(o) = 0.
-2, 0
Let c(w) = w**3 + 257*w**2 - 12891*w + 2703. Let m be c(-300). Find d, given that -5/9*d**m - 1/9*d**4 + 4/9 - 1/3*d**2 + 5/9*d = 0.
-4, -1, 1
Let o(j) = 1566*j - 65. Let s be o(3). Solve s - 4*v**2 + 21*v + 7*v - 4561 = 0 for v.
-2, 9
Let r be (-5)/(5/18)*(-6)/18. Suppose 12*j - 10*j - r = 0. Factor -2*w**2 - 4*w**j - 5*w - 2 - 5*w**2 + 5*w**3 + w**4 + 4*w**2.
(w - 2)*(w + 1)**3
Let r = -936 - -938. Let d(f) be the third derivative of 0 + 0*f**3 - 1/120*f**5 - 1/24*f**4 + 6*f**r + 0*f. Determine v, given that d(v) = 0.
-2, 0
Factor 2/21*u**2 + 148/7*u + 438/7.
2*(u + 3)*(u + 219)/21
Suppose 40/7*k - 2/7*k**2 - 102/7 = 0. What is k?
3, 17
Let w(z) = 86*z**2 - 1835*z - 5. Let d(m) = 224*m**2 - 4587*m - 13. Let v(i) = -5*d(i) + 13*w(i). Factor v(x).
-2*x*(x + 460)
Let m = 3633 - 3631. Let l(y) be the third derivative of -1/8*y**4 + 3*y**m - 1/9*y**3 - 1/18*y**5 + 0*y + 0. Determine t so that l(t) = 0.
-1/2, -2/5
Let k(r) = -69*r**4 + 241*r**3 - 298*r**2 + 13*r - 18. Let f(b) = 34*b**4 - 121*b**3 + 148*b**2 - 8*b + 8. Let d(w) = -9*f(w) - 4*k(w). Let d(v) = 0. What is v?
0, 1/6, 2
Let d(m) = 16*m**2 - 16493*m - 10. Let y(k) = 52*k**2 - 49476*k - 32. Let o(l) = 16*d(l) - 5*y(l). Let o(s) = 0. Calculate s.
-4127, 0
Let d(l) be the first derivative of 3*l**4/26 - 94*l**3/39 - 412*l**2/13 - 264*l/13 + 7306. Let d(t) = 0. What is t?
-6, -1/3, 22
Let g(t) be the second derivative of 8*t + 1/6*t**4 + 28/11*t**2 + 4 + 32/33*t**3 + 1/110*t**5. Factor g(i).
2*(i + 2)**2*(i + 7)/11
Let y(v) be the second derivative of v**7/63 + 37*v**6/45 + 25*v**5/6 - 241*v**4/18 - 110*v**3/3 + 6048*v. Suppose y(q) = 0. What is q?
-33, -5, -1, 0, 2
Factor -1070/3*h - 5/3*h**2 + 1085.
-5*(h - 3)*(h + 217)/3
Let p(l) = -14*l + 128. Let i be p(9). Factor 13 + 14*o + 8*o + 23 + i*o**2.
2*(o + 2)*(o + 9)
Let r = -19354222 + 7451369859/385. Let z = -1/385 - r. Find c such that -18/7 + 45/7*c**3 + 75/7*c - z*c**2 = 0.
3/5, 2/3, 1
Let z(y) be the third derivative of -y**7/420 + 39*y**6/20 - 13453*y**5/30 - 4602*y**4 - 55696*y**3/3 + 2839*y**2. Let z(o) = 0. Calculate o.
-2, 236
Let -560*a**3 + 20*a**4 - 54880*a + 7840*a**2 + 153664 - 2/7*a**5 = 0. Calculate a.
14
Suppose -25 = -27*b + 56. Let g(l) = -l**2 + 7*l - 12. Let w be g(b). Let 5*x**4 + w - 5/3*x**5 - 5/3*x**3 - 5*x**2 + 10/3*x = 0. What is x?
-1, 0, 1, 2
Let x be ((-154)/12)/((-31)/186). Suppose g = x*g. Factor g*c**2 + 8/11*c + 0 - 2/11*c**3.
-2*c*(c - 2)*(c + 2)/11
Determine q, given that -32/5*q**3 + 1792/5*q + 784/5*q**2 + 4/5*q**5 + 1024/5 - 44/5*q**4 = 0.
-2, -1, 8
Let r(z) be the first derivative of 89 - 5/2*z**4 - 13/3*z**3 + 30*z**2 - 1/5*z**5 - 36*z. Let r(i) = 0. Calculate i.
-6, 1
Let v(c) be the second derivative of -c**6/150 - c**5/2 - 239*c**4/20 - 230*c**3/3 - 1058*c**2/5 + 1447*c. Factor v(i).
-(i + 2)**2*(i + 23)**2/5
Let -83*c**2 - 6*c**4 - 275/2*c + 121/2*c**3 + 12 = 0. What is c?
-1, 1/12, 3, 8
Suppose -23*a = -65*a - m + 79, -a + 2*m = -12. Suppose 85/2*b - 75 + 5/2*b**4 - 85/2*b**3 + 145/2*b**a = 0. What is b?
-1, 1, 2, 15
Let v be (1 - -42) + 320 + -363. Determine t, given that v - 4/5*t**2 + 6/5*t**3 + 0*t = 0.
0, 2/3
Let b(c) be the second derivative of -c**5/100 - 13*c**4/15 + 18*c**3/5 - 4*c + 757. Factor b(t).
-t*(t - 2)*(t + 54)/5
Let n(p) be the second derivative of -p**7/21 - 76*p**6/75 - 17*p**5/10 - 7*p**4/15 - 8685*p. Determine f so that n(f) = 0.
-14, -1, -1/5, 0
Let j(f) be the first derivative of 1/3*f**5 + 89/36*f**4 + 24*f + 21*f**2 + 151 + 29/3*f**3 + 1/54*f**6. What is h in j(h) = 0?
-4, -3, -2
Let o = 95/129 + -407/903. Factor o*n + 17/7*n**3 + 0 + 5*n**2.
n*(n + 2)*(17*n + 1)/7
Find k, given that 378/5*k**3 + 392 + 2722/5*k**2 + 4302/5*k - 2/5*k**4 = 0.
-5, -1, 196
Let v be ((-24)/(-2) - 4)*2/8. Factor 48*n**3 + 31*n**4 - 35*n**4 - 19*n**2 - 125*n**v.
-4*n**2*(n - 6)**2
Suppose -1034*d = -1044*d + 7620. Suppose -21*b = -6054 + d. Determine j so that 24 - b*j**4 + 228*j**2 + 162*j - 471/2*j**3 + 147/2*j**5 = 0.
-1, -2/7, 1, 4
Let s(l) = 7*l**2 + 226*l - 231. Let h(r) = -9*r**2 - 222*r + 228. Let g(a) = -2*h(a) - 3*s(a). Factor g(o).
-3*(o - 1)*(o + 79)
Suppose 3*m = -24325*k + 24324*k + 24, -5*k + 4*m = 13. Factor -45/2*f - 55/2*f**k + 0 - 5/2*f**4 - 95/2*f**2.
-5*f*(f + 1)**2*(f + 9)/2
Factor -118/15*u - 34/15*u**3 + 8/3 + 38/5*u**2 - 2/15*u**4.
-2*(u - 1)**3*(u + 20)/15
Suppose 11*j = 42 - 75. Let f(m) = m**2 + 99*m - 103. Let h(d) = -2*d**2 - 98*d + 102. Let i(v) = j*h(v) - 2*f(v). Factor i(r).
4*(r - 1)*(r + 25)
Let w = 2043 - 3627/2. Let y be -1 - -6 - -8*(-18)/48. Factor -141/2*s**3 - 15/2*s**4 - 81 - w*s**y - 567/2*s.
-3*(s + 3)**3*(5*s + 2)/2
Let -436*a**3 - 40*a**4 + 282 + 586*a**5 - 682*a**2 - 587*a**5 + 437*a + 440 = 0. Calculate a.
-19, -2, -1, 1
Suppose g - 11 = 3*d, 3*d = 4*g - 13 - 13. Suppose g*q - 4*q = -5*q. Let 0*w + 1/6*w**4 - 1/6*w**3 + 0 + q*w**2 = 0. Calculate w.
0, 1
Let q = -56 - -76. Let z be q/8*(-6)/(-3). Factor -z - 5 + 3*h**2 - 2 + 9*h.
3*(h - 1)*(h + 4)
Let j be ((-836)/(-57) - 10)*(-12)/(-14). Let w be (2/4)/(15 - 14). Let x**2 + 0 - x**j - w*x**5 + 0*x + 1/2*x**3 = 0. Calculate x.
-2, -1, 0, 1
Let r(o) = -20*o**3 - 67*o**2 - 203*o + 137. Let k(g) = 7*g**3 + 25*g**2 + 68*g - 46. Let p(t) = -17*k(t) - 6*r(t). Suppose p(b) = 0. Calculate b.
1, 2, 20
Let u be 2/78 + (-123250)/(-192270). Factor -560*j - 118/3*j**2 + 600 - u*j**3.
-2*(j - 1)*(j + 30)**2/3
Solve 10/3*y**3 - 722/5 - 1906/15*y**2 + 18278/15*y = 0 for y.
3/25, 19
Let p(g) be the second derivative of 961*g**6/30 - 527*g**5/5 + 671*g**4/6 - 34*g**3 + 9*g**2/2 - 84*g. Find f, given that p(f) = 0.
3/31, 1
Let w = -926 - -931. Suppose -11 = -5*b + 2*d + 9, 3*d = w*b - 25. Determine v, given that 5/2*v + 25/4 + 1/4*v**b = 0.
-5
Let f(j) be the first derivative of -16*j - 1/18*j**4 + 68/9*j**2 - 28/27*j**3 - 114. Determine o so that f(o) = 0.
-18, 2
Let l(t) be the first derivative of -3*t**6/5 + 11*t**5/10 - t**4/3 - 51*t - 66. Let b(x) be the first derivative of l(x). Factor b(y).
-2*y**2*(y - 1)*(9*y - 2)
Let s = 136708 + -136684. Factor -70/3*v**2 + s + 64*v + 2*v**3.
2*(v - 6)**2*(3*v + 1)/3
Factor 3/7*l**2 + 24*l + 324/7.
3*(l + 2)*(l + 54)/7
Let n = 79416 + -158829/2. Factor 0 - 3/2*r**5 - 6*r**2 - 9*r**3 - n*r - 6*r**4.
-3*r*(r + 1)**4/2
Find z such that 0 + 7/2*z**4 - 23/2*z**2 + 1/2*z**5 - 7*z - 3/2*z**3 = 0.
-7, -1, 0, 2
Suppose 4 = 2*z - 0*z. Suppose -78 - 63 = -16*i - 45. Factor 0 + 1 - 4 - 1 - i*f - 2*f**z.
-2*(f + 1)*(f + 2)
Let d be ((-1078)/(-110) + -10)*-15. Determine t so that 12/7*t**2 + 0 - 12/7*t**d + 4/7*t**4 - 4/7*t = 0.
0, 1
Let u(x) be the third derivative of -x**5/330 - x**4/44 + 2*x**2 - 297. Determine j, given that u(j) = 0.
-3, 0
Determine x so that -10*x**3 + 20/3*x**2 + 40/3*x + 5/3*x**5 - 5/3*x**4 + 0 = 0.
-2, -1, 0, 2
Let h be (-35)/10*84/2646*-18. Suppose -61/2*y**3 + 0 - 1/2*y**5 - 90*y**h - 50*y + 9*y**4 = 0. What is y?
-1, 0, 10
Suppose -16930*j + 138 = -16861*j. Let w(h) be the first derivative of -6 + 8*h + 1/3*h**4 - 16/9*h**3 + 2/3*h**j. Factor w(p).
4*(p - 3)*(p - 2)*(p + 1)/3
Let f(u) be the second derivative of -u**7/7 - u**6/3 + 8*u**5/5 + 14*u**4/3 - 2658*u. Factor f(y).
-2*y**2*(y + 2)**2*(3*y - 7)
Suppose 0 = 75*g - 73*g + 3*x - 19, 4*x - 18 = g. Factor 3 + 3/2*v**g + 9/2*v.
3*(v + 1)*(v + 2)/2
Let z be ((-20)/40)/(28/(-8)). Factor -z*l**3 + 1/7 - 3/7*l + 3/7*l**2.
-(l - 1)**3/7
Let q(w) be the third derivative of -w**5/80 + 1087*w**4/16 + 2175*w**3/8 - 14924*w**2. Factor q(j).
-3*(j - 2175)*(j + 1)/4
Let g(d) = -13*d - 248. Let p be g(-20). Suppose -3*h - 8 = -2*m, 0 = 2*h - 3*m + p - 0. Let -18/7*n**2 + h - 2*n**3 - 4/7*n = 0. What is n?
-1, -2/7, 0
Let p(b) be the first derivative of -2/57*b**3 - 1/19*b**2 + 12/19*b + 