ind i, given that -f - 7/2*i**3 + 3/2*i**4 + 3/2*i**2 + 3/2*i = 0.
-2/3, 1
Let f(p) = p**5 + p**4 - p**3 - p**2. Let z(t) = -2*t**5 + 2*t**4 - 2*t**3 + 2*t**2. Let g(v) = -3*f(v) - 3*z(v). Let g(w) = 0. Calculate w.
0, 1
Let q(d) be the first derivative of 2*d**3 + 18*d**2 + 24*d - 9/4*d**4 - 3/5*d**5 + 2. Factor q(m).
-3*(m - 2)*(m + 1)*(m + 2)**2
Find z, given that 0*z + 9/4*z**2 - 3/4*z**3 - 9/4*z**4 + 0 + 3/4*z**5 = 0.
-1, 0, 1, 3
Let g be (-2)/3*(-11)/((-1430)/(-30)). Find v such that 2/13*v + g*v**2 + 0 = 0.
-1, 0
Let r(l) be the second derivative of -l**7/168 + l**5/20 + l**4/24 - l**3/8 - l**2/4 - 4*l. Let r(w) = 0. What is w?
-1, 1, 2
Let u(t) = -t**3 - t**2 + 1. Let z(x) = x**3 + 9*x**2 + 14*x + 7. Let h(o) = u(o) - z(o). Solve h(s) = 0.
-3, -1
Factor 6/11 - 12/11*x**2 - 6/11*x + 6/11*x**4 - 6/11*x**5 + 12/11*x**3.
-6*(x - 1)**3*(x + 1)**2/11
Let n(v) be the third derivative of 0*v + 0 + 0*v**3 + v**2 + 1/108*v**4 - 1/135*v**5 + 1/540*v**6. Find b, given that n(b) = 0.
0, 1
Solve 12*d + 14*d - 5*d**2 - 11*d = 0.
0, 3
Let o(u) = -1 + 1 + 4*u. Let i be o(1). Solve 2*b**4 - 4*b**i + b**2 + b**2 + 2*b**3 - 2*b**5 = 0.
-1, 0, 1
Let q = -5 + 5. Suppose 0 = -5*u + 3*k + 21, -2*k + 2 - 6 = q. Factor -3*m - m**3 + u*m + m**5.
m**3*(m - 1)*(m + 1)
Solve 22*f**2 + 15*f**3 + 23*f + 5*f**4 - 18*f - 7*f**2 = 0 for f.
-1, 0
Let g(j) be the first derivative of 0*j**2 - 1/18*j**4 - 2/27*j**3 + 1/27*j**6 + 2/45*j**5 + 0*j + 1. Let g(d) = 0. What is d?
-1, 0, 1
Solve -792*z**3 + 194*z**2 + 81*z**2 + 29*z**2 - 32*z + 324*z**4 = 0 for z.
0, 2/9, 2
Let b(p) = -p**2 + 10*p. Let q be b(10). Factor q - 2/7*d**3 + 4/7*d**2 + 0*d.
-2*d**2*(d - 2)/7
Let r(b) be the second derivative of -1/6*b**3 + 5/24*b**4 + 0*b**2 - 4*b + 1/60*b**6 - 1/10*b**5 + 0. Factor r(p).
p*(p - 2)*(p - 1)**2/2
Let p(z) be the first derivative of -2/35*z**5 - 8/7*z - 3/7*z**4 - 12/7*z**2 - 1 - 26/21*z**3. Factor p(y).
-2*(y + 1)**2*(y + 2)**2/7
Factor 972/7*w - 2916/7 - 108/7*w**2 + 4/7*w**3.
4*(w - 9)**3/7
Let k(t) be the third derivative of -t**8/147 - 2*t**7/147 - t**6/210 - 17*t**2. Factor k(l).
-4*l**3*(l + 1)*(4*l + 1)/7
Let q(f) be the third derivative of -f**5/80 + 3*f**4/32 - 4*f**2. Factor q(b).
-3*b*(b - 3)/4
Let k(v) be the first derivative of -1/16*v**4 - 1/2*v**2 + 3 + 0*v - 1/3*v**3. Factor k(g).
-g*(g + 2)**2/4
Let n be (-4)/14*(-58 - -57). Factor 4/7*m**2 + n*m**3 + 2/7*m + 0.
2*m*(m + 1)**2/7
Let o(c) = c**2 + 5*c - 5. Let w(d) = 4*d**2 + 26*d - 26. Let p(q) = -28*o(q) + 6*w(q). Factor p(a).
-4*(a - 2)**2
Let p(z) be the first derivative of -2*z**5/55 + 2*z**4/11 + 2*z**3/33 - 4*z**2/11 - 37. Determine u, given that p(u) = 0.
-1, 0, 1, 4
Suppose -2*j + 2*u + 33 = -j, -j + 4*u = -41. Factor j + 4*w - 25 - w**3.
-w*(w - 2)*(w + 2)
Let g(m) be the second derivative of 1/10*m**6 + 0*m**3 + 1/42*m**7 + 3/20*m**5 + 0 + 4*m + 0*m**2 + 1/12*m**4. Suppose g(y) = 0. What is y?
-1, 0
Factor -9/2*f**4 - 3/2*f**5 + 0 - 9/2*f**3 + 0*f - 3/2*f**2.
-3*f**2*(f + 1)**3/2
Let z = -16 - -22. Let a be (z/5)/(9/30). Factor 0*y**2 + 2/5*y**3 + 0 + 0*y - 1/5*y**a.
-y**3*(y - 2)/5
Let x(l) be the third derivative of -l**9/15120 - l**8/10080 + l**7/2520 + l**6/1080 - l**4/24 + 2*l**2. Let y(j) be the second derivative of x(j). Factor y(i).
-i*(i - 1)*(i + 1)*(3*i + 2)/3
Let r(b) be the second derivative of -b**5/60 + 5*b**4/36 - 7*b**3/18 + b**2/2 + 19*b. Find x, given that r(x) = 0.
1, 3
Suppose -1/5*a**2 - 3/5*a + 0 = 0. Calculate a.
-3, 0
Let b = -96 + 195/2. What is v in 0*v - 3/2*v**3 - b*v**4 + 0 + 0*v**2 = 0?
-1, 0
Let q be (2/5)/((-3)/(-39)). Let f = -99/20 + q. Find m, given that -f*m**2 - 1/2 - 3/4*m = 0.
-2, -1
Let i(d) be the second derivative of -d**10/90720 + d**8/20160 - d**4/3 - 4*d. Let q(z) be the third derivative of i(z). What is j in q(j) = 0?
-1, 0, 1
Let w(n) = -n**3 + 4*n**2 + 7*n - 7. Let i be w(5). Let p(o) be the first derivative of -2 - 1/3*o - 1/9*o**i + 1/3*o**2. Determine r, given that p(r) = 0.
1
Let j = -597/2 - -300. Factor -3/2*h**3 + 3/2*h**2 + 3/2*h - j.
-3*(h - 1)**2*(h + 1)/2
Let t(z) be the second derivative of -z**6/200 + z**5/100 + 3*z**2/2 + 4*z. Let f(u) be the first derivative of t(u). Let f(y) = 0. Calculate y.
0, 1
Suppose -14 = 5*f + 31. Let r be 3/(3 + f/4). Find z, given that -z + 0 - 7/2*z**r + 6*z**3 - 3/2*z**2 = 0.
-2/7, 0, 1
Suppose 2*v = 0, 40 = -2*c + 6*c - 3*v. Suppose -3*d - 4 = -c. Factor 1/4*o - 1/2*o**d + 0 + 1/4*o**3.
o*(o - 1)**2/4
Let q(d) = d**3 + 3*d**2 - 2. Let f be q(-3). Let j be -3 + (55/f)/(-5). What is b in 3/2 + j*b + 1/2*b**2 - 1/2*b**3 = 0?
-1, 3
Let x(n) be the second derivative of n**4/3 + 12*n**3 + 162*n**2 + 8*n. Factor x(r).
4*(r + 9)**2
Let d(g) = -g - 10 + 12 - 5*g. Let f(n) = -n**2 - 25*n + 9. Let s(o) = 9*d(o) - 2*f(o). Determine l, given that s(l) = 0.
0, 2
Suppose -4*o = o - 2660. Let x = o + -3718/7. Let -2/7*w**5 + x*w + 4/7*w**2 - 4/7*w**3 - 6/7*w**4 + 2/7 = 0. Calculate w.
-1, 1
Let m(h) be the third derivative of h**5/6 - 25*h**4/24 + 5*h**3/3 - 2*h**2 - 26*h. Factor m(j).
5*(j - 2)*(2*j - 1)
Let g(l) = -l**2 + l + 1. Let q(d) = -8*d**2 + 4*d + 6. Suppose -r - r = 4*n + 24, -2*n - 3*r - 12 = 0. Let x(s) = n*g(s) + q(s). Factor x(w).
-2*w*(w + 1)
Suppose 4*c = 3*m - 4, 3*c - 2*m + 3 - 1 = 0. Solve -3 + 11*f + f**2 - 3 - 4*f**2 + 0*f**c = 0.
2/3, 3
Let f be (2 - (-3)/(-3))*3. Factor -b**2 + 3 + b + b**2 + f*b**2 + 5*b.
3*(b + 1)**2
Determine t so that 19*t**3 - 10*t**3 - 11*t**3 + 2*t**5 = 0.
-1, 0, 1
Suppose -2*n - 2/3 - 2*n**2 - 2/3*n**3 = 0. Calculate n.
-1
Suppose 0 = 2*f - 5*f + 48. Let g(o) = -o + 9. Let y be g(6). Suppose 2 - f*r**4 + 4*r**3 + r - y + 12*r**2 + 0*r = 0. Calculate r.
-1/2, 1/4, 1
Let j = 10 + -2. Solve 3 + 5*f**2 + f**2 - j*f - 1 = 0.
1/3, 1
Let s(g) be the third derivative of -g**6/480 - g**5/120 + g**4/96 + g**3/12 + 6*g**2. Factor s(t).
-(t - 1)*(t + 1)*(t + 2)/4
Factor 2*s - 2/7*s**2 + 0.
-2*s*(s - 7)/7
Let d(x) = -x**3 + 6*x**2 - 4*x - 1. Let v be d(5). Suppose -12 = -2*w - 0*m + 4*m, 3*m = -3*w. Factor 4*j**3 - 3 - 2*j**w + 3*j**v - 5*j**4 + 3.
-2*j**2*(j - 1)**2
Let t be (-32)/(-112) + (-38)/140. Let u(i) be the second derivative of 0 + 1/105*i**6 + t*i**5 + 0*i**2 + i + 0*i**3 + 0*i**4. Find v, given that u(v) = 0.
-1, 0
Let z be 15 - (-3)/(-1 - -4). Determine y so that -22*y**2 - 4*y + 0*y + z*y**2 - 2*y**3 = 0.
-2, -1, 0
Let a(y) be the first derivative of -7*y**6/36 - 19*y**5/30 + 9*y**4/8 + 43*y**3/18 - 14*y**2/3 + 2*y - 29. Solve a(i) = 0 for i.
-3, -2, 2/7, 1
Let s(w) = -w**2 + 2*w. Let z be s(2). Suppose 5 = 5*b - 2*x, -b + 2*x + 2*x - 17 = z. Factor -11/4*l**b - 3/4*l**4 - 1/2 - 9/4*l - 15/4*l**2.
-(l + 1)**3*(3*l + 2)/4
Suppose 5*l - 8*l = -6. Factor -10*u - 5*u**2 + u**l - 2 - 4*u**2.
-2*(u + 1)*(4*u + 1)
Factor 0*u + 4/5*u**4 + 8/5*u**2 + 0 - 12/5*u**3.
4*u**2*(u - 2)*(u - 1)/5
Suppose -3*c = -c - 5*q + 10, -5*q = 5*c - 10. Let h(y) be the third derivative of 1/200*y**6 + 0*y**3 + c + 0*y + 1/50*y**5 + 1/40*y**4 + y**2. Factor h(s).
3*s*(s + 1)**2/5
Let l = -34 - -47. Find f, given that -6*f**2 - l*f**4 + 16*f**4 + 3 + 0 = 0.
-1, 1
Let v be 1 - 1*(-1)/1. Let n = -2 + v. Determine g so that -2/3*g**3 + 0*g**2 + 0 + n*g = 0.
0
Let j(b) be the third derivative of b**6/150 - b**4/30 + 3*b**2. Suppose j(c) = 0. What is c?
-1, 0, 1
Let n(s) = -s + 18. Let u be n(14). Let h be u + (0 - 28/8). Factor -h - b - 1/2*b**2.
-(b + 1)**2/2
Let r(o) be the third derivative of -o**8/84 + 2*o**7/105 + o**6/10 - o**5/15 - o**4/3 - 10*o**2. Determine c so that r(c) = 0.
-1, 0, 1, 2
Suppose -4*l + l + 135 = 0. Suppose 0 = -j + 260 + l. Factor j*n**5 + 38*n**5 + 294*n**4 + 3*n**2 - 4*n**2 + 9*n**2 + 84*n**3.
n**2*(7*n + 2)**3
Let q(a) = a - 3. Let l be q(7). Solve z**3 + 27*z**l + 34*z**4 - 60*z**4 = 0.
-1, 0
Let o(b) be the first derivative of 20/3*b**3 + 0*b + 6*b**2 - 2*b**4 - 3. Factor o(t).
-4*t*(t - 3)*(2*t + 1)
Let j(d) be the second derivative of d**7/98 + d**6/14 + 3*d**5/35 - 4*d**4/7 - 16*d**3/7 - 24*d**2/7 - 2*d - 7. Solve j(u) = 0 for u.
-2, -1, 2
Let p(r) be the first derivative of -3 + 2/15*r**4 + 1/50*r**5 + 1/3*r**3 + 2*r + 2/5*r**2. Let h(q) be the first derivative of p(q). Factor h(n).
2*(n + 1)**2*(n + 2)/5
Let d = 1262/7 - 180. Suppose -c + 1 + 1 = 0. Factor -2/7