5*f**3 - 34/5*f = 0. Calculate f.
1, 2, 5
Let t(b) = 5*b**2 + 2*b - 1. Let k(x) = 27*x**2 + 11*x - 5. Let f(o) = 2*k(o) - 11*t(o). Find z, given that f(z) = 0.
-1, 1
Suppose 4*f = -5*u - 12, 3*u - f - 2 = 1. Let n be (-22 - -23)*((-2)/(-4)*-9 - -5). Factor u - 1/2*b**2 - n*b.
-b*(b + 1)/2
What is w in 40/7*w**3 - 176/7*w**2 + 12/7*w**4 + 0 + 96/7*w = 0?
-6, 0, 2/3, 2
Let a = -11704/5 + 2341. Let g(v) be the third derivative of 0 + v**3 + a*v**5 - 1/105*v**7 - 2/3*v**4 - 14*v**2 + 0*v**6 + 0*v. Solve g(c) = 0 for c.
-3, 1
Let p be ((-20)/26)/2*(-1048)/2620. Solve -p - 6/13*z - 6/13*z**2 - 2/13*z**3 = 0 for z.
-1
Determine y, given that -8*y**2 - 37 + 1 - 48 + 13*y**2 - 3*y**2 + 2*y = 0.
-7, 6
Let p = 81 + -107. Let n = -26 - p. Find c such that -1/2*c**2 + n + 0*c = 0.
0
Let w(l) be the first derivative of l**4/12 - 4*l**3/9 + 747. Let w(s) = 0. Calculate s.
0, 4
Let n(b) be the third derivative of -1/270*b**5 + 2/27*b**3 + 0*b + 1/108*b**4 + 0 - 24*b**2. Suppose n(g) = 0. What is g?
-1, 2
Let c(f) be the third derivative of -1/84*f**6 + 31*f**2 + 0 - 2/21*f**3 - 1/210*f**5 + 5/84*f**4 + 0*f + 1/245*f**7. Let c(n) = 0. Calculate n.
-1, 2/3, 1
Let m = -44287/7 - -6327. Find v such that 0 - 2/7*v**2 - m*v**3 + 0*v = 0.
-1, 0
Suppose 4*n - 2 + 4 = -2*y, -2*y + 5*n + 16 = 0. Let h(i) = i**3 - 2*i**2 - i - 6. Let b be h(y). Solve -m**3 + 0*m**2 - 3/2*m**4 + b*m - 1/2*m**5 + 0 = 0.
-2, -1, 0
Let o(l) be the first derivative of -2*l**5/45 - 5*l**4/18 - 2*l**3/9 + l**2 + 65. Factor o(n).
-2*n*(n - 1)*(n + 3)**2/9
Factor 60*k + 13*k**2 - 10 - 15*k**2 - 48.
-2*(k - 29)*(k - 1)
Let s(w) be the first derivative of 5*w**6/6 + w**5 - 15*w**4/2 - 70*w**3/3 - 55*w**2/2 - 15*w - 186. Factor s(x).
5*(x - 3)*(x + 1)**4
Let i(v) be the third derivative of -v**7/42 - v**6/6 + v**5/12 + 5*v**4/6 + 78*v**2. Suppose i(l) = 0. Calculate l.
-4, -1, 0, 1
Let g be (7 + 0)*(-5 + 273/49). Suppose 36*v**5 - 116*v**3 + 11*v + 57*v - 2 - 192*v**2 - 6 + 364*v**3 - 152*v**g = 0. What is v?
2/9, 1
Let 0*x**4 - 6/7*x**3 + 0*x + 2/7*x**5 + 4/7*x**2 + 0 = 0. Calculate x.
-2, 0, 1
Determine s, given that 15/2*s**3 - 15/2*s**5 + 0 + 0*s - 3/2*s**4 + 3/2*s**2 = 0.
-1, -1/5, 0, 1
Suppose 0 = 3*y - 2*j, -18*y - 11 = -19*y - 3*j. Suppose -14/3*l + 10/3*l**y + 2 - 2/3*l**3 = 0. Calculate l.
1, 3
Let a(k) be the third derivative of 0*k**3 - 1/8*k**4 + 0 - 1/112*k**8 + 1/5*k**5 - 3/20*k**6 + 8*k**2 + 0*k + 2/35*k**7. Factor a(u).
-3*u*(u - 1)**4
Let d = 154/5 + -30. Let w(f) be the second derivative of 1/9*f**3 + d*f**5 + f + 0 + 1/2*f**4 + 0*f**2 + 16/45*f**6. Find o, given that w(o) = 0.
-1, -1/4, 0
Let h(b) be the third derivative of -b**7/1260 + b**6/90 - b**5/20 + b**4/3 + 20*b**2. Let q(d) be the second derivative of h(d). Let q(g) = 0. Calculate g.
1, 3
Suppose 84 = 99*i - 213. Determine j, given that j**2 - 4/3 + 17/6*j**i - 10/3*j + 5/6*j**4 = 0.
-2, -2/5, 1
Let h(a) be the first derivative of -a**5 + 15*a**4/4 + 15*a**3 - 135*a**2/2 - 657. Factor h(i).
-5*i*(i - 3)**2*(i + 3)
Factor -85*u + 10*u - 14 + 36*u**2 + 4 + 4*u**2.
5*(u - 2)*(8*u + 1)
Factor -12*m - 6/7*m**2 + 0.
-6*m*(m + 14)/7
Let z = -671467/455 + 10307/7. Let q = z - -22/5. Find w such that 0 - 24/13*w**3 + q*w**4 + 4/13*w + 6/13*w**2 = 0.
-2/7, 0, 1
Suppose 2*j + 23 = 33. Let 3*q**2 + 3*q**2 - 20 + 4*q**2 - j*q**2 = 0. Calculate q.
-2, 2
Let n(j) be the third derivative of -j**7/4200 - j**6/1200 + j**5/100 + j**4/24 - 5*j**2. Let s(z) be the second derivative of n(z). Factor s(o).
-3*(o - 1)*(o + 2)/5
Suppose 0 = 9*l - 14*l + 30. Find d, given that l*d**3 + 10 - 2*d**4 - 10 - 4*d**3 = 0.
0, 1
Let j(v) be the first derivative of -5*v**4/4 - 10*v**3 - 45*v**2/2 + 50. Determine h, given that j(h) = 0.
-3, 0
Suppose -7 = -2*b - 2*c - 3, -5*c = 4*b - 3. Suppose 5*q = h + 12, -5*h + b = -8. Factor -3*o**4 - 10*o**4 + 4*o**4 - 4*o**3 - q*o**5 - 2*o**3.
-3*o**3*(o + 1)*(o + 2)
Factor -5*n**5 + 75*n**4 + 0*n**3 - 135*n**3 + 243*n**2 - 436*n**2 + 258*n**2.
-5*n**2*(n - 13)*(n - 1)**2
Let f = -19979/7 + 2855. Factor -3/7*o + 3/7*o**2 - f.
3*(o - 2)*(o + 1)/7
Let t(g) be the third derivative of -g**5/240 - 5*g**4/12 - 50*g**3/3 - 64*g**2 + 2. What is u in t(u) = 0?
-20
Suppose 5*v = 4*d - 5, -5*d - 6 + 40 = 3*v. Suppose 4*s - 8 = -4*u, 2*u + v - 1 = 0. Factor 0*k - 1/4*k**4 + k**2 + 0*k**s + 0.
-k**2*(k - 2)*(k + 2)/4
Let j(x) be the second derivative of -x**7/168 - x**6/120 + x**5/80 + x**4/48 - 2*x - 138. Determine b so that j(b) = 0.
-1, 0, 1
Let d(n) be the second derivative of -7*n**5/50 - n**4/6 + 16*n**3/15 - 4*n**2/5 + 66*n. Suppose d(o) = 0. What is o?
-2, 2/7, 1
Let w(h) be the second derivative of -2*h**7/63 + h**6/18 + h**5/4 - 5*h**4/9 + 2*h**3/9 - 2*h + 90. Find t, given that w(t) = 0.
-2, 0, 1/4, 1, 2
Let v(s) be the first derivative of -5*s**6/12 + 3*s**5/2 + 5*s**4/8 - 5*s**3/2 + 16. Find q, given that v(q) = 0.
-1, 0, 1, 3
Let v(z) = -3*z**2 + 3*z + 6. Let s be v(2). Let l = -8 + 11. Factor 0*q - 2/7*q**l + s + 2/7*q**2.
-2*q**2*(q - 1)/7
Determine j so that 1/3*j**2 - 7/3*j - 6 = 0.
-2, 9
Factor -2592/7*x - 648/7*x**3 + 12*x**4 - 4/7*x**5 + 2160/7*x**2 + 0.
-4*x*(x - 6)**3*(x - 3)/7
Let g = 580 + -575. Let q(y) be the second derivative of 1/90*y**g + 0 + 3*y - 1/9*y**2 + 1/54*y**4 - 1/27*y**3. Suppose q(l) = 0. Calculate l.
-1, 1
Let q(j) be the second derivative of -17*j + 9/20*j**5 - 1/5*j**6 - 1/4*j**4 + 0*j**2 + 0*j**3 + 0. Factor q(a).
-3*a**2*(a - 1)*(2*a - 1)
Let v(h) be the third derivative of -h**6/40 + 11*h**5/10 - 91*h**4/8 + 51*h**3 + 262*h**2. Factor v(g).
-3*(g - 17)*(g - 3)*(g - 2)
Let p(g) be the second derivative of -2/15*g**6 - 8/3*g**3 + 4/5*g**5 - g**4 + 9*g + 8*g**2 + 0. Determine a, given that p(a) = 0.
-1, 1, 2
Solve 14080*w**3 - 14082*w**3 - 30*w**2 - 78 - 20 - 126*w = 0 for w.
-7, -1
Let s(n) = 2*n + 15. Let w be s(-6). Factor -v**4 + 3*v**2 + 42*v**w + 2*v - 42*v**3.
-v*(v - 2)*(v + 1)**2
Suppose -3*k = 2*v + 6, -v - 2*k - 6 = -1. Let r(w) be the first derivative of w**2 + 4*w - 16/3*w**v + 5/2*w**4 - 3. Solve r(g) = 0.
-2/5, 1
Let l(z) be the second derivative of 0*z**2 + 0*z**5 - 20*z + 0 + 1/4*z**4 - 1/30*z**6 - 1/3*z**3. Factor l(n).
-n*(n - 1)**2*(n + 2)
Let m(p) = 13*p**4 - 137*p**3 + 643*p**2 - 437*p - 2587. Let l(n) = -7*n**4 + 69*n**3 - 321*n**2 + 219*n + 1293. Let f(v) = 5*l(v) + 3*m(v). Factor f(t).
2*(t - 6)**3*(2*t + 3)
Let q = 1631/358380 - -2/1991. Let z(s) be the third derivative of 0 + 0*s**3 + 0*s - 3*s**2 - 1/72*s**4 - q*s**5. Factor z(j).
-j*(j + 1)/3
Let o(a) be the second derivative of -a**8/8400 + a**6/600 + a**5/300 + 4*a**3/3 + 9*a. Let r(w) be the second derivative of o(w). Let r(t) = 0. Calculate t.
-1, 0, 2
Let d be 1*(-5)/(-105)*3. Factor 0*x - d + 1/7*x**2.
(x - 1)*(x + 1)/7
Suppose 0 = 3*f - 24, -3*o - 44*f + 85 = -39*f. Let o*h**2 + 0 + 20/3*h = 0. Calculate h.
-4/9, 0
Let o(w) = 29*w**3 - w**2 + w + 2. Let g be o(2). Let -n**4 - 3*n**4 - 25 - g*n**2 + 110*n + 91*n**2 + 44*n**3 = 0. Calculate n.
1/2, 5
Suppose -m + 12 = 2*l, 2*l = l - m + 8. Let k be (-7)/((-49)/l)*(-14)/(-4). Factor -1/2*r**k + 0 - 1/2*r.
-r*(r + 1)/2
Let w(j) be the second derivative of 0*j**3 + 0*j**2 - 8*j + 0 + 1/60*j**4 + 1/150*j**6 + 1/50*j**5. Find z, given that w(z) = 0.
-1, 0
Let k(m) be the third derivative of m**6/80 + 23*m**5/120 + 7*m**4/24 + 45*m**2 + 5. Let k(b) = 0. What is b?
-7, -2/3, 0
Factor 837/4*o**4 + 961/4*o**5 - 30*o**3 + 0 + 0*o + o**2.
o**2*(o + 1)*(31*o - 2)**2/4
Suppose r**2 - 3 + 28*r + 3 - 15*r = 0. Calculate r.
-13, 0
Let h be 2152/(-14) - (-18)/(-63). Let w be (-6)/(-33) - (2 - (-478)/h). Suppose -1/7*a**2 - w - 6/7*a = 0. What is a?
-3
Let y(f) be the first derivative of f**5/16 - 15*f**4/16 + 25*f**3/8 + 125*f**2/8 - 25*f - 13. Let c(o) be the first derivative of y(o). Factor c(n).
5*(n - 5)**2*(n + 1)/4
Let p = 26713/7 + -3815. Solve 8/7*b - p - 2/7*b**2 = 0 for b.
2
Suppose 0 = -3*o + 3*a + 21, -2 = -2*o - 2*a - 8. Determine q so that o*q**3 + 5*q**3 - 2*q**3 - 5*q**2 - 4*q - 6*q = 0.
-1, 0, 2
Let u(t) be the third derivative of 13*t**2 + 0 + 1/108*t**4 + 1/540*t**6 - 1/135*t**5 + 0*t**3 + 0*t. Determine i, given that u(i) = 0.
0, 1
Let t(o) be the third derivative of o**5/60 - o**4/15 - 14*o**2. Factor t(f).
f*(5*f - 8)/5
Factor -4/3 - 1/3*m**3