 2*s - 7. Let l be u(-3). Factor -l + 5*z**2 + 22 - 3*z**2 + 10*z.
2*(z + 1)*(z + 4)
Find z such that -4/3*z**2 + 4/3*z + 16 = 0.
-3, 4
Let g = 616 + -3079/5. Let l(o) be the second derivative of -1/20*o**4 + 0 - 1/100*o**5 - g*o**2 + 1/6*o**3 + o + 1/150*o**6. Factor l(f).
(f - 1)**3*(f + 2)/5
Let z = 5198/15 - 346. Let r(v) be the second derivative of -13/5*v**5 + 3*v**6 + z*v**3 + 0 - 3*v - 2/15*v**4 + 0*v**2. Suppose r(a) = 0. What is a?
-2/9, 0, 2/5
Let f(c) be the first derivative of -1 + 1/10*c**5 + 1/2*c**4 + c**2 + c**3 + 1/2*c. Factor f(i).
(i + 1)**4/2
Let d(r) = 4*r**3 - 6*r**2 + 2*r. Suppose -40 = -5*q - 3*n + 8*n, 0 = 2*q - n - 18. Let l(x) = -x**2 + x. Let y(u) = q*l(u) - d(u). What is z in y(z) = 0?
-2, 0, 1
Let i be (8 - (-1 + 9)) + (3 - 0). Let t(x) be the first derivative of i - 2/3*x**3 - 2/3*x - 1/6*x**4 - x**2. Determine k so that t(k) = 0.
-1
Let r be (27 - 26)/(-1 - 5/(-4)). Solve -2*p**3 - 6*p**3 - 2 + 0*p**3 - r*p**4 + 6 + 8*p = 0 for p.
-1, 1
Let z = -4 - 1. Let p = -4 + 3. Let t(d) = -d**4 + d**3 + d**2. Let x(f) = 7*f**4 - 5*f**3 - 7*f**2. Let q(b) = p*x(b) + z*t(b). Determine y so that q(y) = 0.
-1, 0, 1
Suppose -l = 3*t - 9, 6*l + 5*t + 2 = 10*l. Let a(r) be the second derivative of -1/80*r**5 + 0*r**2 + 0 - 10*r + 1/24*r**4 - 1/24*r**l. Solve a(v) = 0.
0, 1
Let j(h) = 5*h**2 + 3*h + 7. Let b(g) = 4*g**2 + 3*g + 6. Let r(c) = 4*b(c) - 3*j(c). Let f(m) = -m - 1. Let z(p) = f(p) - r(p). Factor z(v).
-(v + 2)**2
Let j(p) be the first derivative of 4/3*p**3 + 33 + 28*p + 16*p**2. Factor j(s).
4*(s + 1)*(s + 7)
Let g be (4 + (2 - 4))*2. Suppose -g*h - 4 = -8*h. Factor 3*o + 1 - 2*o**2 + h - 2*o**2 - o.
-2*(o - 1)*(2*o + 1)
Let t(j) be the second derivative of -j**4/3 - 304*j**3/3 + 299*j + 2. Let t(z) = 0. What is z?
-152, 0
Let u(d) = 4*d**3 - d**2. Let q(a) = -61*a**3 + 1207*a**2 - 676*a + 96. Let x(w) = -q(w) - 3*u(w). Suppose x(r) = 0. What is r?
2/7, 24
Suppose -150*v - 63 + 15 = -153*v. Let -1/4*n**3 - v - 20*n - 17/4*n**2 = 0. Calculate n.
-8, -1
Let y(f) = -2*f**3 - f + 1. Let n(z) = -2*z**4 + z**3 + 3*z**2 - 10*z - 2. Let s(l) = -n(l) + 2*y(l). Factor s(t).
(t - 2)**2*(t + 1)*(2*t + 1)
Let q(b) be the second derivative of -2*b**7/21 - 7*b**6/30 + b**5/10 + 2*b**4/3 + b**3/3 - b**2/2 - b - 70. Factor q(w).
-(w - 1)*(w + 1)**3*(4*w - 1)
Let s be (-32780)/16*(-6)/(-15). Let l = s - -857. Let -l*n**2 + 30*n - 6 = 0. Calculate n.
2/5
Let a(u) be the second derivative of -25/6*u**4 - 10/3*u**3 + 5/42*u**7 + 0 + 1/4*u**5 + 20*u**2 + 2/3*u**6 - 2*u. Let a(n) = 0. What is n?
-2, 1
Let a(v) be the second derivative of -v**4/72 + 25*v**3/18 - 49*v**2/12 + 158*v - 1. Solve a(y) = 0.
1, 49
Let y(o) be the third derivative of o**8/36960 + o**7/13860 + 5*o**4/24 + 11*o**2. Let z(g) be the second derivative of y(g). Factor z(q).
2*q**2*(q + 1)/11
Determine i so that -2352637/2 + 265335/2*i + 125/2*i**3 - 9975/2*i**2 = 0.
133/5
Suppose -5*k + 23 = -4*j, -4*k + 3*j - 7 = -25. Let o(c) = c**3 - 5*c**2 + 3. Let h be o(5). Solve -5*n - 9*n + 2*n**2 - 4 - 16*n**2 - k*n**3 - n**h = 0.
-2, -1, -1/2
Let n(l) = -2*l + 22. Let c be n(8). Suppose -2*x + 3*x + c = 3*h, 5*x = -5*h + 10. Factor -2/5*i + 0 + 2/5*i**h.
2*i*(i - 1)/5
Let n(m) be the second derivative of 5*m**4/12 - 655*m**3/3 + 85805*m**2/2 + 123*m + 1. Find r, given that n(r) = 0.
131
Let p(b) = -3*b**2 - 11. Let x(l) = l**2 + 1. Let k(c) = p(c) + 5*x(c). Let y be k(-2). Factor 1/2*h**y + h + 0.
h*(h + 2)/2
Let a(w) be the first derivative of -w**3/6 + 49*w**2/2 - 2401*w/2 - 153. Factor a(y).
-(y - 49)**2/2
Let u = -215 + 1079/5. Let w(d) be the second derivative of -8/9*d**3 - 11/9*d**4 - 1/5*d**6 - u*d**5 - 1/3*d**2 + 2*d + 0. Determine j so that w(j) = 0.
-1, -1/3
Let h = 27/20 - 563/420. Let c(k) be the third derivative of 0*k**4 + 0*k**3 + 0 + k**2 + 0*k - h*k**7 - 1/36*k**6 - 1/45*k**5. Factor c(t).
-2*t**2*(t + 1)*(3*t + 2)/3
Let t(v) = -4*v**3 + 11*v**2 + 4*v - 11. Let g(u) = -u**3 - u**2 + u + 1. Let j(n) = 20*g(n) - 4*t(n). Suppose j(m) = 0. Calculate m.
-16, -1, 1
What is x in 188*x - 90*x - 2*x**2 - 144*x = 0?
-23, 0
Suppose 12*n**5 + 571*n**3 - 1 - 135*n**2 - 303*n**3 + 1 - 176*n**4 + 31*n**2 = 0. Calculate n.
0, 2/3, 1, 13
What is z in -129 - 3*z**2 - 132*z + 8*z**2 - 7*z**2 - z**2 = 0?
-43, -1
Let j(v) be the third derivative of -5/3*v**3 + 0*v + 1/24*v**6 + 26*v**2 + 25/24*v**4 - 1/3*v**5 + 0. Factor j(q).
5*(q - 2)*(q - 1)**2
Suppose 3*f - 19 = -y, 5*y - 78 = -f + 3*f. Let h be 2/8 - (-4)/y. Factor -3/4*l - 1/4*l**2 - h.
-(l + 1)*(l + 2)/4
Suppose 0 = -7*n + 11*n - 8. Factor 5*o**4 + o**5 - n*o**4 - 2*o**4.
o**4*(o + 1)
Let q(v) = 4*v**2 + 2*v - 5. Let t be q(5). Suppose 5*z - 4*f + 36 = t, -4*z = -5*f - 48. Factor -z*x**3 - x**3 - 4 + 12*x + 2*x**3.
-4*(x + 1)*(2*x - 1)**2
Determine v, given that 0 - 12*v + 122110*v**3 - 27*v**2 + 0 - 122116*v**3 = 0.
-4, -1/2, 0
Let h(z) be the second derivative of -z**6/15 + 3*z**5/10 - z**4/6 - z**3 + 2*z**2 + 42*z. Suppose h(b) = 0. Calculate b.
-1, 1, 2
What is s in 13*s + 2 - 49/4*s**3 + 35/2*s**2 = 0?
-2/7, 2
Let f(q) be the third derivative of 0*q**6 + 1/210*q**7 + 0*q + 3*q**2 + 0*q**4 + 0*q**3 + 0 - 1/60*q**5. Solve f(a) = 0.
-1, 0, 1
Let y(t) = -25*t**2 + 1567*t - 152107. Let b(m) = -128*m**2 + 7836*m - 760536. Let z(n) = -7*b(n) + 36*y(n). What is d in z(d) = 0?
195
Let t be (-4)/22 + 553/77. Suppose -x - 1 = -6*n + t*n, 0 = 3*n + 15. Solve -4/5*h**3 + 12/5*h**2 + 4/5*h + 0 - 12/5*h**x = 0 for h.
-1, -1/3, 0, 1
Let c(n) be the second derivative of 1/360*n**6 + 0 - 1/45*n**5 - 5*n + 0*n**3 - 3/2*n**2 + 1/18*n**4. Let r(t) be the first derivative of c(t). Factor r(f).
f*(f - 2)**2/3
Let g(r) = 34*r**2 - 1. Let t be g(-1). Let v be 154/t + -1 + -3. Suppose -4/3*c + 4/3*c**3 + 2/3*c**4 - v + 0*c**2 = 0. Calculate c.
-1, 1
Let l(m) = 14*m**2 - 193*m**3 - 34*m**2 - 2*m - 3*m - 5 + 183*m**3. Let p(v) = -15*v**3 - 30*v**2 - 8*v - 7. Let b(a) = 7*l(a) - 5*p(a). Factor b(t).
5*t*(t + 1)**2
Let h(q) = 4*q**2 + 3*q. Let z be h(1). Find u, given that 0*u**2 - 2*u**2 + 8*u - 2 - z*u + 3*u = 0.
1
Suppose -5*s + 4*w - 5 = 0, -s - 2*w + 25 = 4*s. Suppose -s*z + 10*z = -4*z. Factor 0 - 2/3*t**5 + 0*t**2 + z*t**3 + 2/3*t**4 + 0*t.
-2*t**4*(t - 1)/3
Suppose -2/5*u**2 + 2/5*u**4 - 2/15*u**5 + 0 - 2/15*u**3 + 4/15*u = 0. What is u?
-1, 0, 1, 2
Let o(h) be the first derivative of -5/3*h**3 - 80*h + 18 + 20*h**2. Suppose o(t) = 0. Calculate t.
4
Let b = 206/133 + -24/19. Let g(s) be the first derivative of 2/35*s**5 + 6 + 0*s**3 + 2/7*s**2 - 1/7*s**4 - b*s. Factor g(v).
2*(v - 1)**3*(v + 1)/7
Let p(y) be the second derivative of 5/2*y**2 + y - 5/12*y**4 + 0 - 5/6*y**3 + 1/4*y**5. Let p(t) = 0. Calculate t.
-1, 1
Let t(d) be the third derivative of -d**7/70 + 9*d**6/40 - 5*d**5/4 + 27*d**4/8 - 5*d**3 + 211*d**2. Let t(q) = 0. Calculate q.
1, 2, 5
Let 3/2*m**2 + 0 - 42*m = 0. Calculate m.
0, 28
Solve 6/7*t - 6/7*t**3 + 2/7*t**4 - 2/7*t**2 + 0 = 0 for t.
-1, 0, 1, 3
Let b be (1 + 10/(-4))*-2. Let l be 3*(-4 - (-80)/12). Factor -i**3 - i**4 - 4*i + 12*i**2 - b*i**4 - l + 5*i**3 + 0*i**3.
-4*(i - 2)*(i - 1)*(i + 1)**2
Let u = 13 - 9. Suppose 0 = -2*v - 4*v + 30. Suppose -2/3*n**v + 8/3*n**2 + 2/3*n**3 - 8/9*n + 0 - 16/9*n**u = 0. Calculate n.
-2, 0, 1/3, 1
Let p(r) be the first derivative of 5*r**3/18 - 15*r/2 - 69. Suppose p(c) = 0. Calculate c.
-3, 3
What is f in -3/5*f**4 - 34338/5*f**2 + 636/5*f**3 + 13356*f - 6615 = 0?
1, 105
Let x(c) be the first derivative of -c**9/84 - c**8/35 + c**7/105 + 2*c**6/45 - c**5/30 - 17*c**3/3 + 11. Let q(a) be the third derivative of x(a). Factor q(o).
-4*o*(o + 1)**2*(3*o - 1)**2
Let p = -68 + 70. Let y = -16 - -18. Find q, given that -y*q - 3*q - 11 + 3*q**p - 1 - 4*q = 0.
-1, 4
Let u(j) be the first derivative of 1/6*j**4 + 7 + 2/15*j**5 - 1/3*j**2 - 2/3*j**3 + 4/3*j. Solve u(x) = 0 for x.
-2, -1, 1
Let g(i) be the second derivative of -i**6/360 + i**5/90 - i**4/72 - 5*i**2 - 13*i. Let h(t) be the first derivative of g(t). Determine c so that h(c) = 0.
0, 1
Let c(r) be the first derivative of -r**7/28 - r**6/5 - 3*r**5/8 - r**4/4 - 9*r + 12. Let h(x) be the first derivative of c(x). Factor h(l).
-3*l**2*(l + 1)**2*(l + 2)/2
Suppose -157*i + 393 = -26*i. Factor 0*g**2 + 2/23*g - 4/23*g**i + 0*g**4