(j - 2)/3
Let l(j) be the first derivative of -2*j**3/27 + 1495*j**2/9 + 2992*j/9 + 8859. Factor l(o).
-2*(o - 1496)*(o + 1)/9
Factor 3/8*y**2 + 585/8 - 147/2*y.
3*(y - 195)*(y - 1)/8
Let a = -608684 + 608684. Factor -2/9*i**3 - 6*i**2 - 100/9*i + a.
-2*i*(i + 2)*(i + 25)/9
Let r(g) = 4*g**3 + 89*g**2 - 194*g + 3. Let s(a) = a**2 - 2*a - 1. Let w(f) = -r(f) - 3*s(f). Factor w(q).
-4*q*(q - 2)*(q + 25)
Let p = 335 + -333. Let p*d + 39*d**3 - 4*d**2 + 2*d**5 - 43*d**3 + 4*d**2 = 0. Calculate d.
-1, 0, 1
Let g(a) = 134*a + 4558. Let h be g(-34). Let f(y) be the third derivative of 1/30*y**6 + 7*y**h - 250/3*y**3 + 0*y + 0 + 25/2*y**4 - y**5. Factor f(b).
4*(b - 5)**3
Let f = 6359 - 6359. Let i(b) be the second derivative of 1/36*b**4 + 3/2*b**2 - 1/3*b**3 + f - 7*b. Factor i(m).
(m - 3)**2/3
Factor 44629*d**2 + d**3 + 210*d + 44662*d**2 - 89260*d**2.
d*(d + 10)*(d + 21)
Let v(y) = 14*y**2 + 4*y + 16. Let b be v(-3). Let x = b - 127. Factor -30 + 19*l - 29*l - 45*l + 28*l**x - 23*l**3 - 20*l**2.
5*(l - 6)*(l + 1)**2
Let l(o) = 41*o**2 - 144*o + 118. Let s(a) = -a**3 - 84*a**2 + 298*a - 237. Let j(z) = 5*l(z) + 2*s(z). What is m in j(m) = 0?
2, 29/2
Let n(c) = c**3 - 2*c**2 - 4. Let v(x) = -6*x**3 - 62*x**2 - 518*x - 434. Let f(l) = -4*n(l) - v(l). Factor f(o).
2*(o + 1)*(o + 9)*(o + 25)
Suppose a - 4*v + 3 = -2, 4*a = 3*v + 19. Let l(x) be the first derivative of 0*x - 3/10*x**2 - 1/15*x**3 + a. Solve l(n) = 0.
-3, 0
Find q, given that -39 + 43/4*q - 1/4*q**2 = 0.
4, 39
Factor -218*a**2 - 2/3*a + 2/3*a**3 + 218.
2*(a - 327)*(a - 1)*(a + 1)/3
Let y be (-216)/(-84) + (-66)/616*-4. What is s in 0 + 78/7*s**2 + 2/7*s**5 + 58/7*s**y + 18/7*s**4 + 36/7*s = 0?
-3, -2, -1, 0
Suppose 8*c + 17*c = 50. Suppose -j + c*j = 5*t, 2*t - 2*j = 0. Factor t + 2/11*v**2 + 2/11*v.
2*v*(v + 1)/11
Determine c, given that 0 + 47*c**2 + 28*c**3 + 19/4*c**4 - 1/4*c**5 + 24*c = 0.
-2, -1, 0, 24
Suppose 1/2*r**4 - 5/2*r**3 + 18 - 37/2*r**2 + 5/2*r = 0. Calculate r.
-4, -1, 1, 9
Let z be (-4)/(-12) - (-8)/(-12)*-4. Let x = 417 - 7875/19. Determine b so that x*b + 72/19 - 22/19*b**2 + 2/19*b**z = 0.
-1, 6
Let g be 2/((-6)/142*7/(-42)). Suppose g = 5*x + 274. Factor 40/3*k**4 + 25/3*k**5 - 19/3*k**3 + 0 + 0*k + 2/3*k**x.
k**2*(k + 2)*(5*k - 1)**2/3
Let q(g) = 20*g + 355. Let l be q(-21). Let z be l/(-390) + (-2)/12*1. Determine r, given that 0 + 0*r + 5/4*r**3 + 0*r**4 + z*r**2 - 5/4*r**5 = 0.
-1, 0, 1
Solve 2/5*v**2 + 96 - 166/5*v = 0.
3, 80
Let i(z) = -223*z + 671. Let d be i(3). Solve -6/7*x**4 + 12/7*x**3 + 0 - 12/7*x + 6/7*x**d = 0 for x.
-1, 0, 1, 2
Let v be (-22 + 1118/52)*(-6)/(-12) + 9 + 0. Suppose 0 + 5/4*w**5 - 15/4*w**4 + 15/2*w + v*w**2 - 15/4*w**3 = 0. What is w?
-1, 0, 2, 3
Let k(m) be the third derivative of -m**6/270 - m**5/90 - m**4/108 + 3616*m**2. Suppose k(z) = 0. What is z?
-1, -1/2, 0
Let c be (-42)/7*(-2)/2 + 0. Let d be ((-27)/c - -1)*200/(-14). Factor -d*f**3 + 26*f**2 + 5 + 1127*f + 15*f**4 - 1157*f + 34*f**2.
5*(f - 1)**3*(3*f - 1)
Suppose 43*z - 21360 = 13*z. Let u = 714 - z. Factor 10/11*c**3 - 6/11*c + 4/11*c**u + 0.
2*c*(c + 1)*(5*c - 3)/11
Let p(n) be the second derivative of n**5/90 + 13*n**4/3 + 464*n**3/27 - 64*n - 14. Solve p(m) = 0 for m.
-232, -2, 0
Let j(g) = -g**3 + g + 1. Let i = 61 + -59. Let k(f) = 6*f**3 - 2*f**2 + 6*f - 17. Let d(q) = i*k(q) + 14*j(q). Factor d(p).
-2*(p - 2)*(p - 1)*(p + 5)
Let f = -43 - -48. Suppose 30 - 40 = -f*q. Determine j, given that -9*j + q - 3*j**4 + 9*j**3 + 15*j**2 + 3 - 6 - 11 = 0.
-1, 1, 4
Let q(w) = 20 - 16 - 14 + 2*w. Let j be q(11). Find p such that 165 + 4*p**4 - 165 - 8*p**3 - j*p**2 = 0.
-1, 0, 3
Let r(v) = 1055*v - 56967. Let j be r(54). Determine i so that -9*i + 9/4*i**j + 3/4*i**4 - 3/2*i**2 - 6 = 0.
-2, -1, 2
Let z(i) = 2*i**2 + i - 21. Let u = 1303 - 1300. Let n be z(u). Solve 3/2*v**3 + n*v + 0 + v**2 = 0 for v.
-2/3, 0
Let j(r) be the second derivative of -r**4/6 + 28*r**3/3 - 147*r**2 + r - 426. Let j(a) = 0. Calculate a.
7, 21
Factor 0*p + 1/4*p**4 + 0 + 1317/2*p**3 + 1734489/4*p**2.
p**2*(p + 1317)**2/4
Let -2/11*q**2 + 0 + 1030/11*q = 0. What is q?
0, 515
Let t(i) = -i**2 + 7*i - 3. Let n be t(6). Let c = 5352 + -5345. Let -h + c*h - 3*h + 2*h - 5*h**n = 0. Calculate h.
-1, 0, 1
Solve 32/15*d**2 + 4/5 - 62/15*d + 6/5*d**3 = 0.
-3, 2/9, 1
Let p(b) be the third derivative of 3*b**6/40 - 97*b**5/20 + 51*b**4/2 + 90*b**3 + 738*b**2. Factor p(w).
3*(w - 30)*(w - 3)*(3*w + 2)
Factor 945*b**3 + 5130*b - 722 - 18757/2*b**2 - 49/2*b**4.
-(b - 19)**2*(7*b - 2)**2/2
Let w(h) be the second derivative of -7*h**6/55 - 27*h**5/110 + 34*h**4/11 - 36*h**3/11 - 48*h**2/11 - 1113*h - 2. Let w(u) = 0. What is u?
-4, -2/7, 1, 2
Let r(p) be the third derivative of -p**6/480 - 41*p**5/240 + 11*p**4/6 - 15*p**3/2 - 4*p**2 + 5. Factor r(j).
-(j - 2)**2*(j + 45)/4
Let n = -5/582 - -59/3104. Let l(z) be the third derivative of 1/80*z**5 - n*z**4 + 1/480*z**6 + 0 - 1/12*z**3 + 27*z**2 + 0*z - 1/840*z**7. Solve l(p) = 0.
-1, 1, 2
Let a(v) be the third derivative of 0*v**4 + 1/14*v**7 + 1/112*v**8 + 3/40*v**6 - 9/20*v**5 + 0*v + 51*v**2 + 0*v**3 + 0. Factor a(n).
3*n**2*(n - 1)*(n + 3)**2
Let n = -1250699/300 - -4169. Let o(x) be the third derivative of 0*x + 0*x**3 - n*x**5 - 1/600*x**6 + 0*x**4 - 16*x**2 + 0. Determine w, given that o(w) = 0.
-1, 0
Suppose 0 = 5*p - 2*k + 315, k - 17 = -p - 87. Let b be 2/(-6) + -1 + p/(-39). Factor -1/3*q**2 + b + 0*q.
-(q - 1)*(q + 1)/3
Let n(q) = -9*q + 84. Let b be n(9). Determine k, given that -5*k**3 + 16*k**2 + 5*k**3 + 4*k**b - 42*k**5 + 38*k**5 - 16*k**4 = 0.
-4, -1, 0, 1
Let z = 60 + -55. Determine d so that -3*d**4 + d**5 - 3*d**2 - 4*d + 5*d**3 - d**5 + 6*d**2 - d**z + 0*d**3 = 0.
-4, -1, 0, 1
Let z(d) = -15*d**2 + 1013*d - 253044. Let b(j) = -17*j**2 + 1014*j - 253049. Let v(o) = -7*b(o) + 8*z(o). Factor v(t).
-(t - 503)**2
Let w(m) be the second derivative of -5*m**3 + 5/4*m**4 - 3 + 6*m + 1/4*m**5 - 20*m**2. Factor w(z).
5*(z - 2)*(z + 1)*(z + 4)
Suppose -71*m - 7528 = -7670. Factor 1/2*i**4 + 0 + 3/2*i**3 + 3/2*i**m + 1/2*i.
i*(i + 1)**3/2
Let c(p) = 2*p - 27. Suppose b + 18 - 33 = 0. Let d be c(b). Suppose 200/3*h + 40/3*h**2 + 0 + 2/3*h**d = 0. Calculate h.
-10, 0
Let z be 6/(-45) + (-146377)/(-165)*1. Let n = -887 + z. Factor 4/5*i - 14/5*i**2 + n.
-2*i*(7*i - 2)/5
Solve 88/3 + 1/3*b**3 - 4/3*b**2 - 85/3*b = 0.
-8, 1, 11
Find j such that 12*j**3 + 471*j**2 + 0*j**4 + 6*j**4 - 3*j**4 - 238*j**2 - 245*j**2 - 3*j**5 = 0.
-2, 0, 1, 2
Let f be (-6)/(-57) - (-366)/855. Let r(a) be the third derivative of -f*a**3 - 7/15*a**5 + 0*a + 9*a**2 - 13/15*a**4 + 49/300*a**6 + 0. Factor r(p).
2*(p - 2)*(7*p + 2)**2/5
Let v(g) = -5*g + 25. Let s(h) = 1. Let f(w) = 2*s(w) - v(w). Let t be f(8). Let -k**2 + 17 - t - k = 0. What is k?
-1, 0
Let 473*r**2 - 916 + 91992*r**3 - 1311*r - 865*r - 91994*r**3 + 342*r - 1393*r**2 = 0. What is r?
-458, -1
Let x(k) = 14*k**4 + 377*k**3 + 33150*k**2 - 26*k. Let i(a) = -a**4 - a**3 - 2*a**2 + 2*a. Let o(b) = -65*i(b) - 5*x(b). Factor o(t).
-5*t**2*(t + 182)**2
Let u be 3/(0 - 2/(-2)). Find y, given that -23*y + 11*y + 0*y + u*y**3 = 0.
-2, 0, 2
Suppose -106*s + 131 = -81. Find h, given that 1/7*h**3 + 0 - 3/7*h**s + 2/7*h = 0.
0, 1, 2
Suppose 3/5*d**2 - 102/5*d + 87 = 0. Calculate d.
5, 29
Let m(u) be the second derivative of u**7/4410 - 11*u**6/1008 - u**5/60 - u**4/12 + 37*u**3/6 - 43*u. Let s(y) be the third derivative of m(y). Factor s(l).
(l - 14)*(4*l + 1)/7
Let z(v) be the first derivative of -21*v**4/4 - 5630*v**3 - 1699254*v**2 - 969624*v + 2270. Solve z(m) = 0 for m.
-402, -2/7
Let k be (20/130)/(2964/3211). Determine x so that 11/6*x**3 - k*x**5 + 0*x - 2/3*x**4 - x**2 + 0 = 0.
-6, 0, 1
Let d(y) = 6*y. Let p(r) = -9*r**2 + 386*r - 96. Let u(b) = -24*d(b) - 3*p(b). Factor u(s).
3*(s - 48)*(9*s - 2)
Suppose -63 + 66 = o + 3*n, -8*o = -5*n + 5. Let p(l) be the first derivative of 3/5*l**5 + o*l + 0*l**3 + 0*l**2 + 9/4*l**4 + 24. Let p(d) = 0. Calculate d.
-3, 0
Let q = 802 + -322. Let g be (48/(-55))/(444/q + -1). Suppose -96/11*n - 2/11*n**3 + 24/11*n**2 + g = 0. Calculate n.
4
Let s be ((-2)/(-18))/(15950/114840). Determine z so that -s*z**2 - 6724/5 + 328/5*z = 0.
41
Let d = 28713/7 + -4101. Let n(o) be the first derivative of