Let q = 1897 + -1113. Let l = 2372/3 - q. Factor l*p**3 + 22/3*p + 2*p**4 + 92/9*p**2 + 2/9*p**5 + 2.
2*(p + 1)**3*(p + 3)**2/9
Let t(y) = -7*y**4 + y**3 + y. Let l(x) = 135*x**4 - 1030*x**3 - 52005*x**2 - 101020*x - 50000. Let u(c) = -l(c) - 20*t(c). Factor u(b).
5*(b + 1)**2*(b + 100)**2
Let g be (1 - 0)*16 + 298 + -297. Factor 4*q**3 - 77 + 0*q**2 - 68*q - 4*q**2 + g + 0*q**2.
4*(q - 5)*(q + 1)*(q + 3)
Let u(l) = 4*l**2 - 20*l + 8. Let z be u(17). Suppose z*v**3 - 823*v**3 - 5*v - 2*v + 6*v**2 = 0. Calculate v.
-7, 0, 1
Factor -14 - 1804*d - 4 + 300*d**2 + 854*d + 827*d - 159*d**3.
-3*(d - 1)**2*(53*d + 6)
Let f be -56 + 50/550*649. Suppose 0 + 2/17*s**5 - 16/17*s**2 - 8/17*s**f + 0*s + 4/17*s**4 = 0. Calculate s.
-2, 0, 2
Let v be (-197)/(-60) - ((-1309)/(-204))/77. Determine z, given that -12/5*z**2 - v*z**3 + 0 + 1/5*z**5 - 3/5*z**4 + 0*z = 0.
-2, -1, 0, 6
Let h = -1828425/7 - -261205. Factor h*k**2 - 2/7*k + 2/7*k**3 - 10/7.
2*(k - 1)*(k + 1)*(k + 5)/7
Find j, given that -4/3*j**2 - 3744*j - 2628288 = 0.
-1404
Suppose -6*y = -3*y + 3*f - 90, y - 3*f = 50. Solve -y*u + 5032 - 5*u**3 - 5032 - 40*u**2 = 0.
-7, -1, 0
Let s(w) be the third derivative of -91*w**5/30 + w**4/8 - w**2 + 5*w - 5. Factor s(j).
-j*(182*j - 3)
Let n = 39941/3202 + 42/1601. Factor n*t**3 - 10 - 15/2*t + 15*t**2.
5*(t + 1)**2*(5*t - 4)/2
Factor -66*z - 702 - 3/2*z**2.
-3*(z + 18)*(z + 26)/2
Suppose -10/3*y - 14/3*y**3 + 2/3*y**4 + 22/3*y**2 + 0 = 0. What is y?
0, 1, 5
Let o(d) be the second derivative of -5/39*d**3 - 1/78*d**4 - 34*d + 0*d**2 + 0. Suppose o(a) = 0. Calculate a.
-5, 0
Suppose 68/3*x**3 + 0 - 208/9*x**2 - 4/3*x**5 + 16/3*x - 32/9*x**4 = 0. What is x?
-6, 0, 1/3, 1, 2
Suppose -12*y**3 + 208*y + 606/7*y**2 - 2/7*y**4 + 768/7 = 0. Calculate y.
-48, -1, 8
Let d(v) be the first derivative of 1/36*v**6 - 1/15*v**5 + 1/9*v**3 - 116 + 0*v**4 - 1/12*v**2 + 0*v. Let d(w) = 0. Calculate w.
-1, 0, 1
Suppose 2*f - 4 = w, 3*f - 386 = -3*w - 371. Determine z so that 2*z**f + 5/2*z**2 - 1 - 7/2*z = 0.
-2, -1/4, 1
Let i = 8829 + -8826. Factor -8/3 - 2/9*d**i - 28/9*d**2 - 50/9*d.
-2*(d + 1)**2*(d + 12)/9
Let s(c) be the first derivative of -55*c**4/4 - 350*c**3 - 5535*c**2/2 - 4860*c - 2496. Factor s(a).
-5*(a + 9)**2*(11*a + 12)
Let j(m) be the first derivative of -20*m - 5/18*m**3 - 55/12*m**2 + 145. Determine x, given that j(x) = 0.
-8, -3
Let i be -11*41/451 + (2040/(-27))/(-8). Solve -i - 194/9*h - 10/9*h**2 = 0 for h.
-19, -2/5
Find l, given that -3/8*l**5 - 27/8*l**4 + 75/8*l**3 - 33/2 + 87/8*l**2 - 18*l = 0.
-11, -1, 2
Let o be 663/234 + 1475/750. Find d such that -18/5*d**2 - o*d + 72/5 + 6/5*d**3 = 0.
-2, 2, 3
Let y(l) = -l**3 + 22*l**2 - 42*l + 38. Let u be y(20). Let p be 81/18 - 3/u. Find b such that 11/2*b + 1/2*b**2 - p = 0.
-12, 1
Let f(i) be the second derivative of -2*i**7/21 - 44*i**6/15 + 71*i**5/5 + 1900*i**4/3 - 23392*i**3/3 + 36992*i**2 - 1495*i. Factor f(v).
-4*(v - 4)**3*(v + 17)**2
Let w(q) be the second derivative of 5*q**4/12 + 70*q**3/3 - 1225*q**2/2 + 256*q. Factor w(l).
5*(l - 7)*(l + 35)
Let o(j) = -2*j**4 - j**2 + j. Let s(k) = 42*k**4 - 116*k**3 + 310*k**2 - 254*k. Let t(z) = 28*o(z) + 2*s(z). Factor t(y).
4*y*(y - 2)**2*(7*y - 30)
Let i(b) be the first derivative of -b**3/4 - 231*b**2/2 - 17787*b + 5520. What is s in i(s) = 0?
-154
Let b(m) = 256*m**4 + 260*m**3 - 13*m**2 - 19*m - 2. Let p(c) = 14*c + 11*c - 25*c + c**4 + 0*c**2 - c**3 - 2*c**2. Let v(r) = b(r) - 4*p(r). Factor v(l).
(l + 1)*(6*l + 1)**2*(7*l - 2)
Let m(z) be the second derivative of -z**7/20160 - z**6/40 - 27*z**5/5 + z**4/4 + 2*z**3 + 13*z + 4. Let i(h) be the third derivative of m(h). Factor i(n).
-(n + 72)**2/8
Suppose -3*b = 24*b - 108. Factor 15*k**3 + 5*k**4 + 6*k**2 + 3*k**b - 15*k**4 + 13*k**4.
3*k**2*(k + 2)*(2*k + 1)
Let b(j) be the first derivative of -j**5/20 + 3*j**4/8 + 19*j**3/12 - 3*j**2 + 760. Let b(s) = 0. Calculate s.
-3, 0, 1, 8
Factor 2*o - 82*o**3 + 153*o**3 - 2*o + 10*o**4 - 67*o**3.
2*o**3*(5*o + 2)
Let j(c) be the third derivative of -c**7/105 + 47*c**6/60 + c**5/30 - 47*c**4/12 - 2078*c**2. Find d, given that j(d) = 0.
-1, 0, 1, 47
Let b = -255574/5 + 51115. Let 7/5*y**2 + 9/5*y**3 + b*y**5 + 2/5*y + y**4 + 0 = 0. What is y?
-2, -1, 0
Let u(g) be the first derivative of 0*g + 1/4*g**3 + 3/4*g**2 - 3/16*g**4 - 73. Factor u(h).
-3*h*(h - 2)*(h + 1)/4
Let g(x) be the first derivative of -9*x**5/5 + 591*x**4/2 - 17160*x**3 + 365904*x**2 + 511104*x + 936. Factor g(l).
-3*(l - 44)**3*(3*l + 2)
Let s(c) be the third derivative of c**7/630 + c**6/36 + c**5/12 - 5*c**4/36 - 8*c**3/9 - 1001*c**2. Find l such that s(l) = 0.
-8, -2, -1, 1
Let p(c) be the second derivative of 11/2*c**2 - 1/2*c**5 - 5/2*c**4 - 1/24*c**6 - 21*c - 20/3*c**3 + 0. Let h(r) be the first derivative of p(r). Factor h(u).
-5*(u + 2)**3
Factor -b**4 + 0*b - 22*b**2 - 101/3*b**3 + 0.
-b**2*(b + 33)*(3*b + 2)/3
Let j(v) be the third derivative of 9*v - 1/36*v**4 - v**2 + 0 - 1/180*v**5 + 4/9*v**3. Find z such that j(z) = 0.
-4, 2
Let i be (315/7)/((-260)/(-72)). Determine h so that -2/13*h**5 + 6/13*h**4 + 486/13 - 108/13*h**2 - i*h + 36/13*h**3 = 0.
-3, 3
Suppose 4*g - 5*g + 19 = 4*h, 0 = -3*g + 5*h - 28. Let j(o) = -o**4. Let c(q) = q**4 + q**3 - 2*q**2 - q. Let f(t) = g*c(t) + j(t). Factor f(l).
-l*(l - 1)*(l + 1)*(2*l + 1)
Let v(s) = -12*s**3 + 4033*s**2 - 334630*s - 338688. Let q(m) = -9*m**3 + 3025*m**2 - 250972*m - 254016. Let y(o) = -13*q(o) + 10*v(o). Factor y(i).
-3*(i - 168)**2*(i + 1)
Suppose -6 = m - 5*o + o, 2*o + 8 = 0. Let p = m - -24. Factor 16 - 7*v - v - 16 - 2*v**p.
-2*v*(v + 4)
Let v(l) be the third derivative of -311/195*l**5 + 0*l + 1/15*l**6 - 9*l**4 + 3 - 1/1365*l**7 - 243/13*l**3 + 3*l**2. Factor v(u).
-2*(u - 27)**2*(u + 1)**2/13
Factor -116*a - 668*a**2 - 5796 - 2267*a - 4*a**3 - 2318*a + 801*a.
-4*(a + 3)**2*(a + 161)
Let h(g) be the third derivative of -1/588*g**8 + 1/21*g**3 + 2/105*g**5 + 0*g - 1/210*g**6 + 152*g**2 + 1/21*g**4 - 1/147*g**7 + 0. Find i such that h(i) = 0.
-1, -1/2, 1
Suppose 4*i = -4*z + 17 + 15, -2*z + 4 = -2*i. Let c be 5 + 1/(i/(-9) + 0). Factor 0 + 5/4*f - 1/4*f**c.
-f*(f - 5)/4
Let p be 4/(-9)*(-22323)/(-56). Let y = 359/2 + p. Determine v so that 1/3*v**3 + 0*v + v**4 - 1/3*v**5 - y*v**2 + 4/3 = 0.
-1, 1, 2
Let h(r) be the first derivative of -r**4/30 + 24*r**3/5 - 1296*r**2/5 + 31*r + 138. Let m(a) be the first derivative of h(a). Let m(y) = 0. What is y?
36
Let z(i) be the first derivative of -150 + 36/25*i**5 - 32/5*i**2 - 2/15*i**6 + 0*i - 28/5*i**4 + 48/5*i**3. Find h, given that z(h) = 0.
0, 1, 2, 4
Let p be (-2008)/112 + 14 + 4. Let b(a) be the second derivative of 0 + 2/5*a**6 - 47*a + a**4 + 9/10*a**5 + 0*a**2 + p*a**7 + 1/2*a**3. Factor b(g).
3*g*(g + 1)**4
Let v(l) be the second derivative of -2*l**6/15 + l**5/5 + 10*l**4 - 15*l + 37. Let v(x) = 0. Calculate x.
-5, 0, 6
Suppose 450 = 13*a - 291. Let a + 20*o + 2*o**2 + 20*o + 143 = 0. What is o?
-10
Let t(s) be the second derivative of -s**4/36 - 323*s**3/18 + 54*s**2 + 3455*s. Find a, given that t(a) = 0.
-324, 1
Let a(l) be the second derivative of 94*l - 32/3*l**2 + 1/30*l**5 + 0 - 46/9*l**3 - 13/18*l**4. Find h, given that a(h) = 0.
-2, -1, 16
Let i = 432881/560 - 773. Let y(z) be the third derivative of 0*z**3 + 0 + 0*z - 1/40*z**5 + i*z**7 + z**2 - 1/16*z**4 + 1/320*z**6. Let y(q) = 0. Calculate q.
-2, -1, 0, 2
Let j(t) be the second derivative of -11*t**7/10 + 39*t**6/25 + 117*t**5/10 + 11*t**4 - 33*t**3/10 - 27*t**2/5 - 6*t + 36. What is b in j(b) = 0?
-1, -3/11, 2/7, 3
Let i(j) = -158*j**3 + 5*j**2 - 17*j + 30. Let a be i(2). Let q = 1250 + a. Factor 1/3*d**2 + 5/3 + q*d.
(d + 1)*(d + 5)/3
Let q(l) be the second derivative of l**7/273 - 17*l**6/195 - 8*l**5/13 - 14*l**4/13 - 138*l - 2. What is s in q(s) = 0?
-2, 0, 21
Let m = -449502 - -449504. Let -4/7*k**3 + 6/7*k - 1/7*k**4 - 1/7*k**m + 0 = 0. Calculate k.
-3, -2, 0, 1
Let h(c) be the second derivative of 7*c**6/30 - 33*c**5/20 + 55*c**4/12 - 13*c**3/2 + 5*c**2 - 3*c + 988. Factor h(m).
(m - 2)*(m - 1)**2*(7*m - 5)
Determine f, given that -1425*f + 573*f**2 - 213*f**2 - 215*f**2 - 150*f**2 = 0.
-285, 0
Suppose 12*c = -3*c - 30870. Let y = c - -2058. Factor 12/5*t**3 - 16/5*t + y*t**2 + 0 + 4/5*t**4.
4*