i be (-45)/r*16/(-10). Determine j so that 81/2*j**2 + 6 - i*j = 0.
2/9, 2/3
Let -10/21*o**4 - 4/21*o**3 + 2/21*o**5 + 2/21*o + 20/21*o**2 - 10/21 = 0. Calculate o.
-1, 1, 5
Let d(l) be the first derivative of -2*l**3/3 - l**2/2 + l - 1. Factor d(z).
-(z + 1)*(2*z - 1)
Let q be -1277*(-3)/1278 + -3. Let t = 287/1278 + q. Find z, given that -2/9*z**2 + 4/9*z**3 + 0 - 4/9*z + t*z**4 = 0.
-2, -1, 0, 1
Let x(t) be the second derivative of -2*t**6/15 + t**5/5 + t**4/3 - 2*t**3/3 - 4*t. Find z, given that x(z) = 0.
-1, 0, 1
Let g(x) be the second derivative of x**7/35 + 3*x**6/25 + 9*x**5/50 + x**4/10 + 25*x. Find d, given that g(d) = 0.
-1, 0
Let m = -8 + 7. Let t be (-3)/6*-30 + m. Solve -40*h - 54 - 13*h**2 - 14*h - 2*h**3 + 9*h**2 - t*h**2 = 0 for h.
-3
Factor 0*p + 0 + 0*p**4 + 0*p**2 + 4/9*p**5 - 4/9*p**3.
4*p**3*(p - 1)*(p + 1)/9
Let i be ((-1287)/(-60))/(-11) + 2. Let w(g) be the second derivative of -1/6*g**3 + 0 + 1/6*g**4 + g - g**2 + i*g**5. Factor w(x).
(x - 1)*(x + 1)*(x + 2)
Let v be 6/14 - 410/(-840). Let p(n) be the second derivative of 0 + 2*n**3 - 3/5*n**5 - v*n**4 + 2*n**2 + 7/30*n**6 + n. Determine y, given that p(y) = 0.
-1, -2/7, 1, 2
Suppose -3*n - 8 = -4*d, -2*n + 0*n + d = 12. Let y = n - -11. Factor 0*l - 2/5*l**y + 0 - 1/5*l**2.
-l**2*(2*l + 1)/5
Let n(a) be the first derivative of -a**7/28 - a**6/20 - a + 2. Let k(z) be the first derivative of n(z). Find b, given that k(b) = 0.
-1, 0
Let r(h) = 53*h**3 + 24*h**2 + 4*h - 4. Let q(m) = -54*m**3 - 23*m**2 - 4*m + 5. Let o be -7 - -1 - (-7 + 5). Let a(k) = o*q(k) - 5*r(k). Factor a(g).
-g*(7*g + 2)**2
Let d = -1 - -3. Let n = 1 + 1. Factor 2 + 1/2*y**d + n*y.
(y + 2)**2/2
Let p be (-29)/(-6) + 2/(-6). Let -1/2 - 9*r**3 + 27/2*r**5 - p*r - 13*r**2 + 27/2*r**4 = 0. Calculate r.
-1, -1/3, 1
Factor 128/9 - 32/9*l + 2/9*l**2.
2*(l - 8)**2/9
Let i(q) = q**2 + 4*q + 1. Let u = 1 - 3. Let f = u + 8. Let k(h) = 2*h**2 + 9*h + 2. Let w(t) = f*k(t) - 13*i(t). Find d, given that w(d) = 0.
1
Let u be ((-238)/(-120) + -2)*(-8)/12. Let p(o) be the second derivative of 4*o - u*o**6 + 1/60*o**5 - 1/18*o**3 + 1/36*o**4 + 0*o**2 + 0. Factor p(w).
-w*(w - 1)**2*(w + 1)/3
Let a(d) = 2*d + 6. Let v be a(-3). Let z(o) = o**3 + o**2. Let r be z(v). Suppose -2/5*k**4 + 0 + 0*k + r*k**2 - 2/5*k**3 = 0. What is k?
-1, 0
Let t(m) = -3*m**2 - 2*m - 2*m + 3*m - 2*m. Let j(p) = 4*p**2 + 4*p. Let d(s) = 2*j(s) + 3*t(s). Factor d(k).
-k*(k + 1)
Suppose z - 23 = -a, -5*a + 0*z + 103 = z. Suppose 5*m + a = 35. Factor 1/3*h**5 + 1/3*h + 0*h**4 + 0*h**2 + 0 - 2/3*h**m.
h*(h - 1)**2*(h + 1)**2/3
Let v(g) = -2*g**2 + 2*g - 8. Let q(h) be the first derivative of -2*h**3/3 + 3*h**2/2 - 7*h - 4. Let j(y) = -4*q(y) + 3*v(y). Let j(u) = 0. Calculate u.
1, 2
Let d(z) be the third derivative of 0*z - 1/60*z**5 + 0 + 3*z**2 - 2/3*z**3 - 1/6*z**4. Determine f so that d(f) = 0.
-2
Suppose 0 + 2/5*c**4 - 18/5*c**3 - 32/5*c + 48/5*c**2 = 0. What is c?
0, 1, 4
Let z(l) be the first derivative of l**3/6 - l/2 + 70. Let z(f) = 0. What is f?
-1, 1
Let x be 16/6 + 20/(-30). Factor 22*n**2 + n + 2*n**3 + 2*n**3 - 5*n**3 - 21*n**x - n**4.
-n*(n - 1)*(n + 1)**2
Let h(j) = -j**2 + 7*j - 4. Let c be h(7). Let i be 224/84 + c/6. Factor 4/3 - 2*q + 2/3*q**i.
2*(q - 2)*(q - 1)/3
Let a be ((-111)/(-36))/1 - 3. Let l(g) be the second derivative of 2*g - a*g**4 + 0 + 1/3*g**3 + 0*g**2. Suppose l(z) = 0. Calculate z.
0, 2
Let x(u) be the third derivative of -u**6/1260 - u**5/420 - u**3/2 + 3*u**2. Let y(i) be the first derivative of x(i). Determine v so that y(v) = 0.
-1, 0
Factor 0*k**2 - 6/7*k + 2/7*k**3 + 4/7.
2*(k - 1)**2*(k + 2)/7
Let m(s) be the second derivative of -3*s**5/70 - 5*s**4/42 + 2*s**3/21 + 6*s. Determine j so that m(j) = 0.
-2, 0, 1/3
Let f be (-4)/((-33)/12 + 2). Let m be ((-16)/10)/(4/(-10)). Find n, given that -f + 8*n + 2/3*n**3 - m*n**2 = 0.
2
Suppose -3*y = -8*y + 10. Suppose 2*m - y*p = 2*p + 14, 3*p = -m - 3. Factor 0*g + 2/9*g**4 + 0*g**2 + 0 + 2/9*g**m.
2*g**3*(g + 1)/9
Let m(l) be the third derivative of l**7/14 + 33*l**6/80 + 39*l**5/40 + 19*l**4/16 + 3*l**3/4 - 20*l**2. Solve m(k) = 0.
-1, -3/10
Factor 36/5*c**3 - 8/5 + 52/5*c - 96/5*c**2.
4*(c - 2)*(3*c - 1)**2/5
Let f(d) be the second derivative of d**5/45 - 5*d**4/54 - d**3/9 - 29*d + 1. Solve f(k) = 0 for k.
-1/2, 0, 3
Suppose 4*q = i + 3, 0 = 4*q - 2*i - 2*i + 12. Factor 2*p - 5*p + 6*p + p**q - 2 - 2*p.
(p - 1)*(p + 2)
Let u = 30 - 28. Factor -4*m - u + 5/2*m**2.
(m - 2)*(5*m + 2)/2
Let m(q) = -7*q**2 + 17*q - 13. Let o be (-82)/(-8) - 8/32. Let n(i) = -4*i**2 + 9*i - 6. Let h(s) = o*n(s) - 6*m(s). Solve h(g) = 0.
3
Let f(u) be the first derivative of -u**5/35 + u**4/7 + 2*u**3/7 - 2*u**2/7 - 5*u/7 - 34. Suppose f(j) = 0. Calculate j.
-1, 1, 5
Let g = -15 + 22. Solve -v - g*v**3 + v**3 - 4*v**2 - 2*v**4 + v = 0.
-2, -1, 0
Let f(a) be the first derivative of -a**6/60 - a**5/15 - a**4/12 + a**2/2 - 2. Let u(n) be the second derivative of f(n). Factor u(y).
-2*y*(y + 1)**2
Let c(x) be the second derivative of x**5/50 - x**3/15 + 5*x. Determine s so that c(s) = 0.
-1, 0, 1
Let m be ((-4)/(-3))/((-56)/(-12)). Factor 0 - 2/7*u**2 + 2/7*u**4 - m*u + 2/7*u**3.
2*u*(u - 1)*(u + 1)**2/7
Let b(w) be the second derivative of -7*w**5/30 + 3*w**4/4 - 2*w**3/3 + w**2/2 + 3*w. Let f(t) be the first derivative of b(t). Factor f(i).
-2*(i - 1)*(7*i - 2)
Let o(i) = 5*i**2 - 8*i - 2. Let r(v) = 16*v**2 - 25*v - 7. Let z(w) = -7*o(w) + 2*r(w). What is t in z(t) = 0?
0, 2
Factor -4/5*n - 2/5*n**2 - 2/5.
-2*(n + 1)**2/5
Let d(g) be the second derivative of 2*g**6/75 + 2*g**5/25 - 30*g. Factor d(l).
4*l**3*(l + 2)/5
Suppose 0 = -r + 2*r. Suppose -3*t - t + 16 = r. Determine k, given that 4*k**t - k**4 - 2*k**3 - k**4 = 0.
0, 1
Let a(d) be the first derivative of d**5/10 + 3*d**4/8 + d**3/3 + 14. Factor a(b).
b**2*(b + 1)*(b + 2)/2
Let k(a) be the third derivative of a**6/720 + a**5/180 + a**4/144 - a**2 - 1. Determine i so that k(i) = 0.
-1, 0
Let i(w) = 4 - 5 + 2*w**4 - 6*w + 19*w**2 - 16*w**3 - 5*w + 7*w**4. Let c(y) = -4*y**4 + 8*y**3 - 10*y**2 + 6*y. Let k(f) = -5*c(f) - 2*i(f). Factor k(a).
2*(a - 1)**4
Factor -24*v**3 + 3*v**5 - 2*v**4 + 24*v**3.
v**4*(3*v - 2)
Let w(d) be the third derivative of d**5/100 + d**4/4 + 9*d**3/10 - 42*d**2. Factor w(g).
3*(g + 1)*(g + 9)/5
Let 9/5*z**2 - 9/5*z**4 - 3*z**5 + 0 + 21/5*z**3 - 6/5*z = 0. Calculate z.
-1, 0, 2/5, 1
Let s(b) = -b + 1. Let m(a) = -3*a**2 - 24. Let q(v) = m(v) + 12*s(v). What is l in q(l) = 0?
-2
Let x(o) = -4 - 9*o**3 - o**3 - o + 15*o. Let f(i) = 2*i**3 - 3*i + 1. Let u(z) = -16*f(z) - 3*x(z). Determine d so that u(d) = 0.
-2, 1
Suppose 4*z + 0 = 4*r + 4, -4*r + 2*z = -4. Let t(k) = -6*k**2 - k + 4. Let g(n) = 17*n**2 + 2*n - 11. Let j(a) = r*g(a) + 8*t(a). Factor j(w).
(w - 1)*(3*w + 1)
Factor -2*x**4 + 16/3*x**3 + 2/3 + 0*x - 4*x**2.
-2*(x - 1)**3*(3*x + 1)/3
Let y(u) = -3. Let q(i) = -2. Let b(n) = 8*q(n) - 5*y(n). Let c = 11 + -12. Let a(h) = -2*h**2 + 8*h + 2. Let v(x) = c*a(x) - 10*b(x). Factor v(f).
2*(f - 2)**2
Let c(x) = 7*x**4 + 25*x**3 + 19*x**2 - 17*x - 14. Let m(t) = 6*t**4 + 24*t**3 + 18*t**2 - 18*t - 15. Let u(d) = 3*c(d) - 4*m(d). Factor u(q).
-3*(q - 1)*(q + 1)**2*(q + 6)
Suppose -j + 4 = 2. Let m = -22 + 23. Factor 2*y**2 + 0*y**2 - m - y**j.
(y - 1)*(y + 1)
Factor -72*g**3 - 2*g**2 + 6*g + 2*g - 18*g**2.
-4*g*(2*g + 1)*(9*g - 2)
Let w(c) = 7*c**3 + 6*c**2 + 4*c + 5. Let y(m) = -4*m**3 - 3*m**2 - 2*m - 3. Let a(z) = -3*w(z) - 5*y(z). Factor a(t).
-t*(t + 1)*(t + 2)
Let d(z) be the first derivative of -25*z**3/3 - 30*z**2 - 20*z + 16. Factor d(q).
-5*(q + 2)*(5*q + 2)
Let n(s) be the first derivative of -s**6/60 - s**5/6 - 2*s**4/3 - 4*s**3/3 - 3*s**2/2 + 1. Let f(c) be the second derivative of n(c). Factor f(p).
-2*(p + 1)*(p + 2)**2
Determine l, given that -24 + 45*l**2 + 37*l**3 + 0 - 78*l - 32*l**3 - 21*l**4 + 73*l**3 = 0.
-1, -2/7, 1, 4
Let b(n) be the third derivative of n**9/15120 + n**8/6720 + 5*n**4/24 + 5*n**2. Let d(l) be the second derivative of b(l). Suppose d(z) = 0. Calculate z.
-1, 0
Let o(g) be the third derivative of -g**7/210 - g**6/40 - g**5/20 - g**4/24 - 10*g**2. Factor o(h).
-h*(h + 1)**3
Let 0 - 4/3*z - 2/3*z**4 + 0*z**3 + 2*z**2 = 0. Calculate z.
-2, 0, 1
Let k(f) = 3*