 1, 2*f - 9 = -5*m + f. Factor 10*t**3 + m*t**2 + 6*t**4 - 7 - 2*t + 7.
2*t*(t + 1)**2*(3*t - 1)
Let b(l) be the third derivative of l**2 + 1/9*l**3 + 0 + 0*l + 1/315*l**7 - 1/45*l**5 + 0*l**4 + 0*l**6. Factor b(y).
2*(y - 1)**2*(y + 1)**2/3
Let k(y) = -4*y**5 + 2*y**4 - 10*y**3 + 7*y**2 - 5*y + 4. Let p(n) = 9*n**5 - 3*n**4 + 20*n**3 - 13*n**2 + 10*n - 9. Let u(q) = -7*k(q) - 3*p(q). Factor u(b).
(b - 1)**5
Let l be (-7 - -7)*(0 + -1). Let f = l + 5. Factor -3/4*t + 1/2*t**3 + 1/2*t**2 - 3/4*t**4 + 1/4 + 1/4*t**f.
(t - 1)**4*(t + 1)/4
Let w(f) be the first derivative of -2*f**3/21 - 3*f**2/7 - 4*f/7 - 5. Solve w(b) = 0 for b.
-2, -1
Let h(l) = -l**3 - 2*l**2. Let t be h(-2). Let y be 1 - (-2)/(-8)*2. Factor 0*j + t - 3/4*j**5 - 2*j**4 - y*j**2 - 7/4*j**3.
-j**2*(j + 1)**2*(3*j + 2)/4
Let z be 5 + (-1 - 1 - 0). Find n such that 6 - 4 - 2 + 2*n**z + 4*n**2 = 0.
-2, 0
Let g = 221/336 - -1/112. Factor 2/3*v**2 + 2/9 - g*v - 2/9*v**3.
-2*(v - 1)**3/9
Let j(n) be the first derivative of n**4/2 - 2*n**3/3 - n**2 + 2*n + 49. Factor j(u).
2*(u - 1)**2*(u + 1)
Solve -2/3*g**5 - 16*g**2 + 4*g**4 + 0 - 2/3*g**3 - 32/3*g = 0.
-1, 0, 4
Let w be 2/8 - 42/(-24). Factor 11 - 24*r + 42*r - 3 + 75*r**3 + 34*r + 110*r**w.
(3*r + 2)*(5*r + 2)**2
Let g(i) = -6*i**2 - 3*i. Let x be 8/3*3/2. Let q(y) = -5*y**2 - 2*y. Let u(f) = x*g(f) - 5*q(f). Determine a, given that u(a) = 0.
0, 2
Let q(g) be the second derivative of -g**6/60 + g**5/8 - g**4/8 - 5*g**3/12 + g**2 - 41*g. Factor q(t).
-(t - 4)*(t - 1)**2*(t + 1)/2
Let f(p) be the third derivative of p**7/5040 - p**6/1440 + p**4/24 - 5*p**2. Let h(r) be the second derivative of f(r). Let h(v) = 0. What is v?
0, 1
Let x be (-14)/21*(-3)/90. Let o(b) be the second derivative of -1/18*b**4 + x*b**6 + 1/30*b**5 - 1/9*b**3 + 0*b**2 + 0 + 2*b. Factor o(i).
2*i*(i - 1)*(i + 1)**2/3
Determine f so that 4/3*f - 1/3*f**4 - 2*f**2 - 1/3 + 4/3*f**3 = 0.
1
Let y(t) = -t**3 - 2*t**2 - 12*t - 40. Let h be y(-3). Let s be 10/18 + 4/(-18). Factor s*x**2 + 0*x - x**3 + x**4 - 1/3*x**h + 0.
-x**2*(x - 1)**3/3
Let a(s) be the second derivative of -4*s - 1/15*s**6 + 4/3*s**3 + 2/5*s**5 + 0 - s**4 - s**2. Let a(x) = 0. What is x?
1
Let l = 115 - 111. Let w(r) be the second derivative of 1/3*r**3 + 0*r**2 + 0 - 2*r - 1/6*r**l. Factor w(c).
-2*c*(c - 1)
Suppose -4*u = -2*k, -5*u + 0*u + 5*k - 10 = 0. Let z(n) be the second derivative of 0*n**u + 2*n + 1/60*n**4 - 1/30*n**3 + 0. Find t such that z(t) = 0.
0, 1
Let o(z) be the first derivative of 2/5*z**5 - z**2 + 1/2*z**4 - 2*z**3 - 3 + 4*z. Let o(y) = 0. What is y?
-2, -1, 1
Suppose -148*g + 12 = -145*g. Let w(c) = -c**2 + 2. Let p be w(0). Determine v so that 0 + 2/3*v**3 + 1/3*v**g + 1/3*v**p + 0*v = 0.
-1, 0
Let y(f) = f**3 - f. Let v(l) = -5*l**3 + 3*l**2 + 7*l - 1. Let i(w) = -w**2 - w. Let c(o) = -3*i(o) - v(o). Let g(s) = 6*c(s) - 33*y(s). Factor g(j).
-3*(j - 2)*(j + 1)**2
Let j(f) be the second derivative of -9/2*f**3 - 33/20*f**5 - 4*f + 0 + 3/10*f**6 + 15/4*f**4 + 3*f**2. Suppose j(w) = 0. Calculate w.
2/3, 1
Let g(a) = -a**3 + 7*a**2 - 7*a + 6. Let o be g(6). Let h(m) be the first derivative of 2/55*m**5 + o*m**2 + 2/11*m - 4/33*m**3 + 0*m**4 + 2. Factor h(f).
2*(f - 1)**2*(f + 1)**2/11
Suppose -k = -4*k + 15. Let p(m) be the first derivative of 1 + 0*m**4 + 1/2*m**2 + 2/5*m**k + 0*m - 2/3*m**3 - 1/6*m**6. Find c, given that p(c) = 0.
-1, 0, 1
Let o(z) be the second derivative of -z**6/105 + z**4/42 + z. Factor o(g).
-2*g**2*(g - 1)*(g + 1)/7
Factor 66 + 5*a + 2*a**2 - 62 + a.
2*(a + 1)*(a + 2)
Let u(f) be the third derivative of -f**5/180 - f**4/72 - 10*f**2. Solve u(t) = 0 for t.
-1, 0
Find a such that 0 - 3/4*a**2 - 3/2*a = 0.
-2, 0
Determine x so that -4/11*x + 5/11 - 1/11*x**2 = 0.
-5, 1
Suppose 10 = 5*u - 5*b, 3*u + 6*b - 7 = 8*b. Factor 2 - 3*j**2 + 0 + j**3 - 3 + u*j.
(j - 1)**3
Suppose -2*g + 0*g = -4. Determine y, given that 0*y**g + 0*y**2 + 2*y**3 - y**4 - y**2 - 4*y**3 = 0.
-1, 0
Suppose 0 = -3*m + 2*q + 90, -5*q + 69 = m + 2*m. Suppose -p**5 + p**5 - 2*p**5 - m*p**2 - 36*p**3 - 2*p**5 - 8*p - 20*p**4 = 0. Calculate p.
-2, -1, 0
Let f(z) be the second derivative of -1/10*z**5 + 0 + 0*z**2 + 0*z**3 + 1/21*z**7 + 0*z**6 - 4*z + 0*z**4. Factor f(v).
2*v**3*(v - 1)*(v + 1)
Let z be 6/4*(-120)/(-18). Suppose -6*h - z = -11*h. Factor 1/2 + 1/4*f - 1/4*f**h.
-(f - 2)*(f + 1)/4
Let t(f) = f**3 - f**2 - 1. Let a(k) = -10*k**3 + 5. Let s(o) = a(o) + 5*t(o). Factor s(n).
-5*n**2*(n + 1)
Let q(f) be the third derivative of -f**5/30 - 3*f**4/2 - 27*f**3 + 39*f**2. Factor q(c).
-2*(c + 9)**2
Let i be ((-4)/(-84))/(4/72). Suppose 2/7 - 2/7*b**3 - i*b + 6/7*b**2 = 0. Calculate b.
1
Suppose 2 = f - 5*i, 0 = 2*f - 0*f - i - 4. What is o in 0*o + 2*o**3 + 0 - 4/7*o**f = 0?
0, 2/7
Let g be (-6)/(0 - (7 - 0)). Suppose 2/7 - 2/7*z**3 - g*z + 6/7*z**2 = 0. Calculate z.
1
Let r(c) be the third derivative of c**6/300 - c**4/20 + 2*c**3/15 + 9*c**2. Let r(h) = 0. What is h?
-2, 1
Determine n, given that 0*n - 1/2*n**5 + 0 - 1/2*n**4 - 3/2*n**2 + 5/2*n**3 = 0.
-3, 0, 1
Let m(y) be the first derivative of 0*y**3 + 5/4*y**6 + 0*y**2 - 3/4*y**4 + 0*y + 7 - 9/10*y**5. Factor m(d).
3*d**3*(d - 1)*(5*d + 2)/2
Let f(p) = 2*p**4 - 12*p**3 + 20*p**2 + 6*p - 16. Let l(s) = -5*s**4 + 36*s**3 - 60*s**2 - 19*s + 48. Let c(g) = -17*f(g) - 6*l(g). Find w such that c(w) = 0.
-4, -1, 1
Suppose -g - 45 = -v, 2*v + 4*g = 7*v - 226. Find d, given that -v*d + 3*d**5 + 46*d + 3*d**4 = 0.
-1, 0
Factor 1/3 + 2/3*x**2 + x - 1/3*x**5 - 2/3*x**3 - x**4.
-(x - 1)*(x + 1)**4/3
Let b = -666 + 668. What is g in -4/7*g**5 + 0 - 2*g**4 + 0*g - 2*g**3 - 4/7*g**b = 0?
-2, -1, -1/2, 0
Suppose 2*w + 14 = 2*x, 13 = 3*x - 0*x + w. Solve 26*y**2 + 22*y**3 - 44*y**4 + 2*y**5 + 4 + 10*y**4 - 32*y + 8*y**x + 4 = 0 for y.
-1, 2/5, 1, 2
Let r(l) = -l**5 + 4*l**4 + l**3 - 4*l**2 + 3. Let j(o) = -2*o**5 + 7*o**4 + 2*o**3 - 7*o**2 + 5. Let h(n) = -6*j(n) + 10*r(n). Factor h(i).
2*i**2*(i - 1)**2*(i + 1)
Let j(g) = 2*g**2 + 12*g + 2. Let d(p) = 9 - 339*p**2 + 45*p + 16*p + 348*p**2. Let u = -2 + 0. Let t(b) = u*d(b) + 11*j(b). Let t(r) = 0. What is r?
-2, -1/2
Let k(v) be the first derivative of -v**7/84 - 2*v**6/45 - v**5/60 + v**4/6 + 4*v**3/3 + 2. Let n(c) be the third derivative of k(c). What is u in n(u) = 0?
-1, 2/5
Let u(y) = -y**3 + 9*y**2 + y - 7. Let m = 8 - -1. Let d be u(m). Factor -a**d + 4*a + a**4 - 4*a.
a**2*(a - 1)*(a + 1)
Let b(c) be the third derivative of c**7/210 + c**6/60 - c**5/15 - c**4/12 + c**3/2 - 6*c**2 + 2. Solve b(v) = 0 for v.
-3, -1, 1
Find m such that -406*m**2 - 71*m - 108*m**4 - 77*m - 540*m**3 - 16 - 62*m**2 = 0.
-4, -1/3
Let r(p) = 4*p**4 + 12*p**3 - 12*p**2 + 8*p - 6. Suppose 0 = 3*s - 0*s + 3. Let a(f) = -f**4 - f**3 + f**2 - f + 1. Let v(d) = s*r(d) - 6*a(d). Factor v(x).
2*x*(x - 1)**3
Let d(k) = 2*k**2 - 10*k + 4. Let z(i) = -2*i**2 + 11*i - 4. Let w(q) = 5*d(q) + 4*z(q). Factor w(h).
2*(h - 2)*(h - 1)
Let z(m) = -9*m**4 + 129*m**3 + 111*m**2 + 63*m + 57. Let u(j) = j**4 - 16*j**3 - 14*j**2 - 8*j - 7. Let w(a) = 33*u(a) + 4*z(a). Factor w(i).
-3*(i + 1)**4
Let t(s) = s - 1. Let m be t(3). Suppose m*f**2 - 3*f**2 + 0*f**2 + 3*f**2 + 6*f**3 - 4*f = 0. Calculate f.
-1, 0, 2/3
Let j(x) be the second derivative of -x**7/3780 - x**6/1080 + x**5/90 + x**4/12 - 4*x. Let b(i) be the third derivative of j(i). Suppose b(z) = 0. What is z?
-2, 1
Let o(n) be the first derivative of n**6/2 + 3*n**5/5 - 3*n**4/4 - n**3 - 2*n**2 - 4*n + 3. Let d(k) = -k - 1. Let s(v) = -4*d(v) + o(v). Factor s(j).
3*j**2*(j - 1)*(j + 1)**2
Let w be (14/21)/((-4)/(-18)). Let -w*c**4 + 1 - 9*c**2 - 9*c**3 - 1 - 3*c = 0. Calculate c.
-1, 0
Determine j, given that -3*j**2 + 3*j + 6*j - 5*j**2 - j + 2*j**3 = 0.
0, 2
Let y(t) be the first derivative of t**7/210 + t**6/90 - t**5/30 - t**4/6 + 11*t**3/3 - 5. Let z(o) be the third derivative of y(o). Factor z(s).
4*(s - 1)*(s + 1)**2
Let f(d) = 4*d**4 + 33*d**3 + 38*d**2 + 3*d - 6. Let h(b) = 3*b**4 + 33*b**3 + 39*b**2 + 3*b - 6. Let x(v) = 6*f(v) - 5*h(v). Suppose x(l) = 0. What is l?
-2, -1, 1/3
Let o(y) be the first derivative of 0*y + 1/24*y**4 + 0*y**2 - 1/60*y**5 + 4/3*y**3 - 1/120*y**6 - 4. Let d(a) be the third derivative of o(a). Factor d(r).
-(r + 1)*(3*r - 1)
Let f(l) be the