 + 272484/7*f**2 + 0.
3*f*(f - 174)**3/7
Let t(b) be the first derivative of b**4/8 + 1413*b**3 + 5989707*b**2 + 11284607988*b - 9727. Determine j, given that t(j) = 0.
-2826
Let d = -89678/5 - -17936. Factor 2/5*y**5 + 0*y**2 - 4/5*y**3 + 0*y + 0 - d*y**4.
2*y**3*(y - 2)*(y + 1)/5
Let r(n) = -3*n**2 - 396*n + 429. Let m(u) = 6*u**2 + 788*u - 859. Let o(g) = -6*m(g) - 13*r(g). Determine w so that o(w) = 0.
-141, 1
Factor 1/2*x**3 - 181/2*x + 0 + 90*x**2.
x*(x - 1)*(x + 181)/2
Let u = -138 + 143. Factor -393 - 221 - u*m**2 + 114 + 100*m.
-5*(m - 10)**2
Let j be ((-10)/(-3) - 212/(-318)) + 0/(-1). Let i(x) be the first derivative of 3/5*x**5 + 0*x**2 - 2*x**3 - 13 + 3*x + 0*x**j. Let i(s) = 0. Calculate s.
-1, 1
Let s(n) = -17*n - 115. Let c be s(-7). Factor -y**c + 11*y - 3*y**4 - 40*y + 5 + 4*y**3 + 19 + 28*y**2 - 23*y.
-4*(y - 2)*(y - 1)**2*(y + 3)
Let f be (2 - 7)*(8 + 42/(-5)). Factor -26/11*l**3 + 0 - f*l - 46/11*l**2 - 2/11*l**4.
-2*l*(l + 1)**2*(l + 11)/11
Let u(z) = -15*z**2 - 6*z + 2. Let r(f) = -13*f**2 - 7*f. Let i = 835 + -829. Let q(p) = i*u(p) - 7*r(p). Determine d, given that q(d) = 0.
-12, -1
Let q = 879 + -815. Determine h, given that -h**2 + q*h - 198 + 261 + 2*h**2 = 0.
-63, -1
Let c = 18973 - 18970. Let n(m) be the first derivative of 5/3*m**c + 5/4*m**4 - 5/2*m**2 - 5*m - 11. Factor n(f).
5*(f - 1)*(f + 1)**2
Let b(a) be the first derivative of 62*a**3/3 - 35*a**2 + 8*a + 44. Determine i, given that b(i) = 0.
4/31, 1
Suppose -8*j + 3*j = -15. Suppose 4*l**j + 8*l**2 + 32 - 8*l**4 - 32 - 7*l**5 + 3*l**5 = 0. What is l?
-2, -1, 0, 1
Let q(u) = -20638*u - 82552. Let f be q(-4). Factor -4/7*b + f - 10/7*b**3 + 2*b**2.
-2*b*(b - 1)*(5*b - 2)/7
Let w be 11/((-11)/(-3)) - (-24892)/(-9). Let b = w + 2767. Determine o, given that 32/9*o**4 + b*o + 4/9 + 38/3*o**2 + 112/9*o**3 = 0.
-2, -1, -1/4
Suppose 2*j - 5 = 15. Suppose -4 = -2*x - 4*p + 6, 2*x - p - j = 0. Factor 5*z**4 - 1719*z**2 + 10 + x*z + 1704*z**2 + 0*z**3 - 5*z**3.
5*(z - 2)*(z - 1)*(z + 1)**2
Suppose 25 + 33 = 34*c - 78. Let y(k) be the second derivative of c*k**2 + 1/10*k**5 + 0 - 27*k + 0*k**3 - 1/2*k**4. Solve y(i) = 0.
-1, 2
Suppose 38*w + 43 - 233 = 0. Solve 2*h**5 - 12*h**4 + 48*h**2 + 48*h - 20 + 20 - w*h**5 = 0.
-2, 0, 2
Let r = 11 + -11. Let u(v) = v**2 + v + 8. Let z be u(r). Determine f so that z*f**2 - 6*f - 9*f**2 + 2*f**2 + f = 0.
0, 5
Let f(t) be the second derivative of -t**6/105 + 482*t**5/35 - 115679*t**4/21 - 22172*t**3 - 33327*t**2 - t + 1588. Factor f(j).
-2*(j - 483)**2*(j + 1)**2/7
Let q(i) be the third derivative of -13*i**6/480 + 3*i**5/80 + i**3 - i**2 + 35*i. Let z(r) be the first derivative of q(r). Find j such that z(j) = 0.
0, 6/13
Let s = 1014 - 985. Let t be (s/(-58))/(2/(-3)). Suppose 1/2 + 1/4*i**2 + t*i = 0. Calculate i.
-2, -1
Let s(r) be the third derivative of 17*r**2 + 146/45*r**5 + 1/90*r**6 + 5329/18*r**4 + 0*r**3 + 0 - r. Factor s(n).
4*n*(n + 73)**2/3
Suppose 650*h = 671*h - 9 - 33. Let j(a) be the first derivative of -3/10*a**5 + 0*a + 0*a**h + a**3 - 3/8*a**4 - 30. Suppose j(w) = 0. What is w?
-2, 0, 1
Let 8*t**2 - 48/7*t + 2/7*t**4 - 20/7*t**3 + 0 = 0. What is t?
0, 2, 6
Factor -8/3*o**2 + 1/3*o**4 + 1/3*o**3 - 4*o + 0.
o*(o - 3)*(o + 2)**2/3
Let z(o) be the third derivative of -o**7/105 - 3*o**6/20 + 39*o**5/5 + 64*o**4/3 - 160*o**3 + 31*o**2 + o + 12. Determine q, given that z(q) = 0.
-20, -2, 1, 12
Suppose -2*s = 3*s - 5*r - 10, 5*r = 6*s - 18. Let w(l) be the third derivative of 0 + 0*l - 1/9*l**3 - s*l**2 + 1/90*l**6 - 1/45*l**5 - 7/72*l**4. Factor w(v).
(v - 2)*(2*v + 1)**2/3
Let d(m) be the third derivative of m**6/24 + 43*m**5/12 + 185*m**4/3 + 1400*m**3/3 + 5025*m**2. Factor d(r).
5*(r + 4)**2*(r + 35)
Solve -33*h + 5*h**2 + 223*h + 59 + 126 = 0.
-37, -1
Let f = 1032 + -706. Suppose 2*n**3 + f*n + n**4 + 324*n - 650*n - 3*n**2 = 0. What is n?
-3, 0, 1
Let d(i) be the second derivative of -i**5/5 + 67*i**4/3 - 250*i**3 + 1098*i**2 + 117*i - 38. Determine o so that d(o) = 0.
3, 61
Suppose -2*d**2 + 0*d + 3/5*d**3 + 6/5*d**4 + 0 + 1/5*d**5 = 0. What is d?
-5, -2, 0, 1
Let r be (3 - 2) + 1/((-4)/(-8)). Let p(k) be the first derivative of -3*k + k**3 - 7 - 2*k**r - 3*k**2 + 10 + 3. Factor p(v).
-3*(v + 1)**2
Suppose 4*t - 7198 + 7208 = 2*v, t + 16 = 2*v. Factor -2/3*y**3 + 0 + 4*y**t - 16/3*y.
-2*y*(y - 4)*(y - 2)/3
Factor 24*n**3 + 899*n**5 + 783*n**5 - 1681*n**5 - 14*n**4.
n**3*(n - 12)*(n - 2)
Let i(h) be the first derivative of 143 + 1/7*h**2 - 10/3*h**3 + 0*h. Factor i(y).
-2*y*(35*y - 1)/7
Suppose -3*w = 3*x - 2 - 52, -3*w - 4*x + 56 = 0. Suppose -y = -3*y + 30. Find f such that -7 - 11 - 4*f**2 - w*f + 23 + y = 0.
-5, 1
Let q be 3672/272*(-13 + 1/1). Let s = q + 162. Suppose 0*o + s - 8/3*o**2 + 2/3*o**3 = 0. What is o?
0, 4
Suppose -4*n + 4*a - 13 = -5*n, n - a = -2. Suppose 5 = 2*v + n. Factor 4*g - 16*g**v + 24*g**3 + 3*g**5 + g**5 - 8*g**4 - 8*g**4.
4*g*(g - 1)**4
Let p = -225 - -227. Factor 9*t**p + 4 - 20 - 10*t**2 - 10*t.
-(t + 2)*(t + 8)
Let z(y) = -7*y - 33. Let v be z(8). Let o = -443/5 - v. Factor -o*j**2 - 4/5*j - 2/5.
-2*(j + 1)**2/5
Solve 2/13*d**2 - 136/13*d**3 + 0 - 2/13*d**4 + 136/13*d = 0 for d.
-68, -1, 0, 1
Let p(c) be the third derivative of 9/8*c**4 + 0 + 81/2*c**3 - 4*c + 1/80*c**5 + 3*c**2. Factor p(i).
3*(i + 18)**2/4
Let t(y) be the first derivative of y**4/20 - y**3/15 - 7*y**2/5 + 24*y/5 - 1562. Factor t(d).
(d - 3)*(d - 2)*(d + 4)/5
Let b = 537 + -537. Solve -6 - 7*o**2 - 9*o - o**3 + 0*o + b*o + 1 - 2*o = 0.
-5, -1
Let v = -8/3309 + 6674/23163. Solve 0 + v*t**3 - 6/7*t**2 + 0*t = 0 for t.
0, 3
Let f be ((-5)/(165/(-77)))/7. Let j(z) be the second derivative of 0*z**3 - f*z**4 + 0 + 2*z**2 - 3*z. Find p, given that j(p) = 0.
-1, 1
Let g be (5/(-4))/((-12)/816). Let i be 12/(-28) - g/(-35). Let 3*b - 51*b - 103 - 6*b**2 - 41 + i*b**2 = 0. What is b?
-6
Let d = 15902 + -15874. Let g(l) be the first derivative of 1/4*l**2 + 2*l - d - 1/12*l**3. Factor g(h).
-(h - 4)*(h + 2)/4
Let d(r) be the first derivative of -5*r**4/4 - 70*r**3/3 + 255*r**2/2 + 466. Suppose d(l) = 0. Calculate l.
-17, 0, 3
What is q in 474*q + 1/2*q**4 - 781*q**2 + 2817/2 + 154*q**3 = 0?
-313, -1, 3
Let c(f) be the third derivative of -4/1155*f**7 - 1/165*f**6 - 336*f**2 + 0*f + 5/132*f**4 + 2/33*f**3 - 1/1848*f**8 + 0 + 1/165*f**5. Let c(m) = 0. What is m?
-2, -1, 1
Let z be (-5 + -1)/((-2)/5). Find u, given that -12*u + 3*u - 5*u**4 + 15*u**5 - 6*u**3 - 4*u**4 - z*u**4 + 24*u**2 = 0.
-1, 0, 3/5, 1
Determine t, given that 133*t**2 - 96 - 26*t - 130*t**2 + 68*t = 0.
-16, 2
Let z = -208 - -210. Suppose 4*m + 2*x = 5*x - 9, z*x = 6. Suppose 2/5*l**3 + 6/5*l**2 + m + 4/5*l = 0. Calculate l.
-2, -1, 0
Let x(o) be the second derivative of -2 - 5/4*o**3 + 5/12*o**4 + 8*o + 0*o**2 + 1/8*o**5. Determine p, given that x(p) = 0.
-3, 0, 1
Let v = 219 + -219. Let z(f) be the third derivative of 5/24*f**4 + 1/12*f**5 + 0 + 0*f**3 + v*f + 14*f**2. What is x in z(x) = 0?
-1, 0
Find d such that 159*d + 39*d + 75*d**2 - 556058*d**3 + 556061*d**3 = 0.
-22, -3, 0
Let l = 1268 + -1279. Let b be 24/15*5*l/(-22). Solve -2/5*i**b + 8/5 + 18/5*i**2 + 22/5*i + 2/5*i**3 = 0.
-1, 4
Let p(x) = -x - 177. Let d be p(12). Let b = 193 + d. Solve -7/3*i**b - 25/3*i**2 - 1/3*i**5 - 4/3 - 16/3*i - 19/3*i**3 = 0 for i.
-2, -1
Let m(w) = -3*w**2 + w**2 - 11*w - 5 + 11*w**2 + 11 + w**2. Let t(s) = -7*s**2 + 11*s - 4. Let c(f) = -2*m(f) - 3*t(f). Let c(b) = 0. Calculate b.
0, 11
Let c(g) be the third derivative of -g**6/1020 + 29*g**5/255 - 791*g**4/204 - 50*g**3/3 + 11437*g**2. Determine b so that c(b) = 0.
-1, 25, 34
Let v(l) be the first derivative of 25/3*l**3 + 10*l**2 + 45 - 5/4*l**4 - 100*l. Factor v(z).
-5*(z - 5)*(z - 2)*(z + 2)
Let r be 3*-1*(-15 + 60/10 - -8). Let o(x) be the first derivative of 0*x**5 - 1 + 0*x**2 + 0*x + 0*x**r + 1/3*x**6 + 0*x**4. Let o(g) = 0. Calculate g.
0
Let d(l) be the third derivative of 0*l**3 + 1/63*l**7 - 1/24*l**6 + 0*l**4 + 0*l + 0 - 26*l**2 + 1/36*l**5. Factor d(x).
5*x**2*(x - 1)*(2*x - 1)/3
Let a(v) be the third derivative of 7*v + 2/35*v**6 + 8/21*v**3 + 0 - 3/245*v**7 + 59/210*v**5 - 23/42*v**4 + 13*v**2. Determine z, given that a(z) = 0.
-2, 1/3, 4
Let x(b) be the first derivative of 2*b**6/15 - 4*b**5/5