 + 1/4*q**4 + 59/2*q**2 = 0. Calculate q.
-9, -1
Let a be 5/((-40)/(-24))*4/3. Let v be -5*(-3 + a - (-35)/(-25)). Factor 2*o + 2/5*o**v + 8/5.
2*(o + 1)*(o + 4)/5
Suppose 0*w + 40*w**2 + 10/3*w**4 + 424/3*w**3 + 0 - 14/3*w**5 = 0. What is w?
-5, -2/7, 0, 6
Let s(p) = -p**2 + 1403*p + 5679. Let t(w) = -4*w**2 + 4208*w + 17032. Let f(g) = 8*s(g) - 3*t(g). Factor f(q).
4*(q - 354)*(q + 4)
Let a(n) be the first derivative of 2*n**5/55 - 19*n**4/11 + 214*n**3/11 + 760*n**2/11 + 800*n/11 - 1442. Determine t, given that a(t) = 0.
-1, 20
Let z be (-34)/(-51) - 29/3. Let o(x) = 2*x + 21. Let c be o(z). Factor 2*u**3 - 352*u**2 + c*u**3 - 45*u - 25 + 337*u**2.
5*(u - 5)*(u + 1)**2
Suppose 404 = -19*o + 120*o. Let c(t) be the first derivative of 9/2*t**3 + 6*t - 3*t**6 + 15*t**2 - 129/10*t**5 - 57/4*t**o + 7. Solve c(p) = 0.
-2, -1, -1/4, 2/3
Suppose 7*c = x + 4*c - 2, -2*c - 3 = -x. Factor 29*u + 123*u**3 + x - 9*u - 5*u**2 - 143*u**3.
-5*(u - 1)*(u + 1)*(4*u + 1)
Let u = 0 - -8. Suppose j - 10 = -u. Solve 7*p**j - 2*p + 8*p**2 - 18*p + 5 = 0.
1/3, 1
Let w(p) = 2*p**2 - 7*p + 1. Let s(n) = -14*n**2 + 13. Let h(a) = -3*a**2 + 3. Let d(l) = 9*h(l) - 2*s(l). Let v(j) = 4*d(j) + 2*w(j). What is q in v(q) = 0?
3/4, 1
Let h(w) be the first derivative of w**6/144 + w**5/8 - 58*w**3/3 + 85. Let m(o) be the third derivative of h(o). Factor m(t).
5*t*(t + 6)/2
Let g(o) = 299*o + 18552. Let n be g(-62). Factor -1/7*y**3 + 16/7*y**2 + n - 11*y.
-(y - 7)**2*(y - 2)/7
Let y(g) be the third derivative of -2*g**7/525 + 176*g**6/15 - 15488*g**5 + 34073600*g**4/3 - 14992384000*g**3/3 + 13*g**2 - 5*g - 2. Factor y(a).
-4*(a - 440)**4/5
Let c(a) be the second derivative of a**3/6 + 10*a. Let n(r) = -2*r**3 + 10*r**2 - 3*r + 6. Let u = -3 - 19. Let j(k) = u*c(k) + 2*n(k). Solve j(s) = 0 for s.
1, 3
Let d = 19338 + -135362/7. Solve -2/21*s**5 - 2/7*s**4 - 2/7 + 4/21*s**3 - 2/21*s + d*s**2 = 0 for s.
-3, -1, 1
Suppose 0 = 124*i - 112*i - 1200. Let o be 35/(-14)*(-24)/i. Solve 0 - 3/5*a**3 + 0*a**2 + o*a = 0.
-1, 0, 1
Let r(l) be the second derivative of l**7/63 - 17*l**6/90 - l**5/10 + 5*l**4 + 12*l**3 - 717*l - 3. Find k, given that r(k) = 0.
-2, -3/2, 0, 6
Let c = 1949758 - 13648300/7. Factor -2592/7*b - c*b**4 + 2754/7 - 48/7*b**3 + 108*b**2.
-6*(b - 3)**3*(b + 17)/7
Let v = -6228 - -6246. Let y(a) be the second derivative of 2/45*a**5 + 0 - 1/27*a**4 + v*a - 4/27*a**3 + 1/3*a**2 - 1/135*a**6. Suppose y(c) = 0. What is c?
-1, 1, 3
Factor -302 - 688*f**2 - 865*f + 254*f**2 - 308 - f**3 + 178.
-(f + 1)**2*(f + 432)
Let y be (-6)/9*((-9)/(-3) - 33). Factor -75*x**3 + 103*x**3 + x**5 - 78*x**3 + y*x**4 - 3*x**5.
-2*x**3*(x - 5)**2
Let r(o) be the third derivative of -153*o**2 + 1/22*o**5 + 0 + 13/66*o**4 + 0*o + 0*o**3 + 1/660*o**6. Suppose r(m) = 0. Calculate m.
-13, -2, 0
Suppose 3*s - 37 + 7 = 0. Let o = -353 + 355. Find b, given that s*b**4 - o*b**2 + 6*b**5 + 22*b**3 - 11*b**3 - 9*b**3 = 0.
-1, 0, 1/3
Let t(z) be the second derivative of 2*z**6/15 + 16*z**5/5 - 407*z**4/3 + 260*z**3 - z + 4263. Factor t(n).
4*n*(n - 13)*(n - 1)*(n + 30)
Let q be 108/(-30)*20/(-6). Factor q*f - 4*f**2 + 3*f**2 - f**2 + f**2.
-f*(f - 12)
Let p = -2909 - -2915. Let a(k) be the third derivative of 0*k**5 - 5*k**2 - 1/315*k**7 + 0 + 0*k**3 + 0*k + 1/9*k**4 - 1/60*k**p. Factor a(d).
-2*d*(d - 1)*(d + 2)**2/3
Let p be (70/(-20) - -6)/10. Solve 1/8*f**4 - p*f**3 + 1/4*f - 1/2*f**2 + 3/8 = 0.
-1, 1, 3
Factor -3/7*t**2 + 0 - 96/7*t**3 + 3/7*t**4 + 96/7*t.
3*t*(t - 32)*(t - 1)*(t + 1)/7
Let t(f) be the third derivative of 4/525*f**7 + 0*f + 1/100*f**6 + 0 + 0*f**3 + 1/840*f**8 - 1/15*f**4 + 137*f**2 - 2/75*f**5. Suppose t(i) = 0. Calculate i.
-2, -1, 0, 1
Let p = 59 + -56. Let d(b) = -21*b - 30. Let s(m) = m**2 + 41*m + 59. Let i(n) = p*s(n) + 5*d(n). Factor i(l).
3*(l + 3)**2
Let t(g) be the third derivative of -37*g**2 - 7/6*g**4 + g + 0 - 1/15*g**5 - 8*g**3. Factor t(y).
-4*(y + 3)*(y + 4)
Let i(z) = -63*z**2 + 3792*z + 1797398. Let k(r) = -25*r**2 + 1896*r + 898700. Let x(h) = -2*i(h) + 5*k(h). Factor x(n).
(n + 948)**2
Let h(j) = -j**3 - 23*j**2 - 20*j + 40. Let n(p) = 18*p**2 + 21*p - 39. Let d(z) = -3*h(z) - 4*n(z). Factor d(t).
3*(t - 2)**2*(t + 3)
Let b(p) be the first derivative of -11*p**5/15 - 133*p**4/6 - 532*p**3/9 - 44*p**2/3 + 7869. Let b(y) = 0. Calculate y.
-22, -2, -2/11, 0
Factor z**2 + 312760 + 1156*z + 1127240 + 1244*z.
(z + 1200)**2
Solve 123*g**2 + 283*g - 65*g**3 + 34*g**3 - 285 + 1230 + 374*g + 34*g**3 = 0.
-35, -3
Let s(u) = 7*u - 24. Let h be s(4). Let b be (-1)/((-3)/6390) + 4. Factor 8*l**3 - b + 2134 - 8*l - h*l**2 + 4*l**4.
4*l*(l - 1)*(l + 1)*(l + 2)
Let q(s) be the third derivative of 25*s**8/336 + 11*s**7/42 - 27*s**6/40 - 43*s**5/60 + 7*s**4/3 - 2*s**3 - 1127*s**2. Suppose q(z) = 0. What is z?
-3, -1, 2/5, 1
Let i(s) be the second derivative of -s**4/60 - 17*s**3/15 - 189*s**2/10 + 7*s + 58. Suppose i(b) = 0. Calculate b.
-27, -7
Factor 6255*y**2 + 4590*y**2 - 1091 + 1523*y**2 + 16*y**3 + 4187 - 12380*y.
4*(y + 774)*(2*y - 1)**2
Let i(v) be the second derivative of 2*v**6/3 - 157*v**5/5 + 311*v**4/15 - 62*v**3/15 - 636*v. Factor i(d).
4*d*(d - 31)*(5*d - 1)**2/5
Let o(t) be the third derivative of t**6/360 + 3*t**5/10 + 27*t**4/2 + 324*t**3 + 10620*t**2. Factor o(v).
(v + 18)**3/3
Solve -17*d**4 + 15*d**4 - 12373 + 349*d**3 + 12910 + 1787*d + 1601*d**2 = 0 for d.
-3, -1, -1/2, 179
Let w(r) be the first derivative of 12 - 1/2*r**4 - 3/5*r**2 - 2/25*r**5 + 0*r - 14/15*r**3. Factor w(j).
-2*j*(j + 1)**2*(j + 3)/5
Let u(n) be the second derivative of 1/11*n**2 - 2/33*n**3 - 43*n + 1/66*n**4 + 0. Factor u(s).
2*(s - 1)**2/11
Solve 8*a**2 + 16/9 - 22/9*a**3 - 62/9*a - 4/9*a**4 = 0 for a.
-8, 1/2, 1
Let k(b) = 2254*b + 9*b**2 - 1 - 2245*b - 5. Let i(d) = -d**2 - d + 1. Let n be (2/(-4))/(1/(-12)). Let u(h) = n*i(h) + k(h). Let u(l) = 0. What is l?
-1, 0
Suppose 0 = -3*v + 2*t - 5*t + 24, 5*v + 4*t = 37. Let 10*s**v - 3470*s**2 + 32*s**4 - 4*s + 3430*s**2 + 8 + 10*s**5 - 16*s**3 = 0. Calculate s.
-1, 2/5, 1
Let b(x) = -x**3 + 22*x**2 + 13*x - 11. Let c be b(22). Factor 750*d**5 - 4*d**2 - 67*d**4 - c*d**4 + 70*d**3 - 58*d**4.
2*d**2*(5*d - 1)**2*(15*d - 2)
Let h(d) be the first derivative of d**7/126 + d**6/18 + d**5/20 - d**4/4 + 246*d + 242. Let t(k) be the first derivative of h(k). Find u, given that t(u) = 0.
-3, 0, 1
Let p(b) = 4*b**5 + 142*b**4 - 765*b**3 + 1660*b**2 - 1466*b + 418. Let i(l) = l**5 + 2*l**4 - 2*l - 2. Let h(j) = -35*i(j) + 5*p(j). Let h(c) = 0. What is c?
2/3, 1, 2, 3, 36
Let a(d) = -9*d - 201. Let u be a(-22). Let j be u/(7 + (-19 - 3)). Factor -4/5*s + j*s**3 - 8/5 + 2/5*s**2.
(s - 2)*(s + 2)**2/5
Let p(j) be the third derivative of j**5/105 + 205*j**4/168 + 799*j**3/42 - 1076*j**2. Factor p(c).
(c + 47)*(4*c + 17)/7
Suppose 7866 + 5686 + 250*j**2 - 3740*j - 5*j**3 + 968 = 0. What is j?
6, 22
Let u(i) be the second derivative of 0*i**2 + i - 17 + 7/110*i**5 + 0*i**3 - 1/165*i**6 - 5/33*i**4. Factor u(v).
-2*v**2*(v - 5)*(v - 2)/11
Let t = -548 - -558. Suppose 0 = 4*h - 8, -13*c + t*c - h = -8. Determine b, given that -4/13*b**3 + 4/13 + 14/13*b**c - 14/13*b = 0.
1/2, 1, 2
Factor 882*m - 12348 - 2/3*m**3 + 0*m**2.
-2*(m - 21)**2*(m + 42)/3
Suppose -3*w - w = 152. Let x = w - -38. Factor x*k**5 + 2*k**4 - 2*k**5 - 4 + 4.
-2*k**4*(k - 1)
Suppose -f + 5*y = 25, -3*f + 0*f = -3*y + 27. Let h be 7 - 3/(-1 - f/2). Factor h*b**2 + 5 + 25*b - 27 - 8.
5*(b - 1)*(b + 6)
Let z(o) be the first derivative of o**3/7 + 66*o**2/7 - 576*o/7 + 1687. Let z(s) = 0. What is s?
-48, 4
Let d be ((-21)/3)/((-3 - 2)/20). Factor 5*o**4 + 7*o**4 - 3*o**3 + 9*o**4 - d*o**4 + 4*o + 8*o**4.
o*(o - 2)**2*(o + 1)
Let v(f) = 17*f**2 + 385*f - 402. Let o(x) = -2*x**2 + 2. Let g(y) = -18*o(y) - 2*v(y). Solve g(a) = 0.
1, 384
Let -4*z**3 + z**2 - 5128*z + 3*z**3 + 5144*z + 20 = 0. Calculate z.
-2, 5
Let c = 311/3 - 103. Factor 24 + 8*r + c*r**2.
2*(r + 6)**2/3
Let b(f) = 0*f**3 - 6 - 78*f**2 + f**3 - 7 + 84*f**2. Let p be b(-2). Factor -6/5*g**p + 4/5*g**2 + 2/5*g**4 + 0 + 0*g.
2*g**2*(g - 2)*(g - 1)/5
Suppose -3*f = 4*t - 32, 5 = 4*f - 3*t + 4. Suppose -x - 2*l = -l + 5, -f*x + 5 = -l. Factor 6*h + x - 45*h**3 + 4 - 16*h**2 + 51*h**3.
2*(h - 2)*(h - 1)*(3*h + 1)
Factor -68/5*d