g) be the second derivative of g**7/84 - g**5/40 - 4*g. Factor b(h).
h**3*(h - 1)*(h + 1)/2
Let a(i) be the second derivative of -4/21*i**7 - 16/15*i**6 - 5/2*i**5 + 0 - 7/3*i**3 - 19/6*i**4 - i**2 - i. Solve a(h) = 0 for h.
-1, -1/2
Find l such that 0 - 2/7*l**2 + 8/7*l = 0.
0, 4
Let f be ((-1)/(3/(-6)))/(-7 + 8). Find n such that 2/5*n**f + 4/5 - 6/5*n = 0.
1, 2
Determine l so that -3 + 3/2*l**5 + 9/2*l - 6*l**3 + 3*l**2 + 0*l**4 = 0.
-2, -1, 1
Factor -m**3 + 88*m + m**2 + 0 + 0 - 76*m.
-m*(m - 4)*(m + 3)
Let f(x) = -x**3 + 10*x**2 - 10*x + 12. Let l be f(9). Let p(n) = n + 4. Let k be p(0). Factor 2*y - y**3 - y**4 + y**l + 1 - k*y**3 + 2*y**3.
-(y - 1)*(y + 1)**3
Let y(p) = p - 6. Let v be y(4). Let k(d) = d**2 + 3*d + 2. Let a be k(v). Solve -2*t**3 + 0*t + a*t + 2*t**2 = 0.
0, 1
Let b(g) = g**3 + 2*g**2 - 2*g - 2. Let o be b(-2). Suppose -o = 3*r - 8. Factor -r*i**2 - 2 - 2*i - 2*i + 0*i**2.
-2*(i + 1)**2
Suppose 0 = 2*z + i - 12 + 4, -3*i = -4*z + 16. Let g(o) = -o**3 + 5*o**2 - 3*o. Let w be g(z). Factor 3/2*r**w + 1/2 + r - r**3 - 2*r**2.
(r - 1)**2*(r + 1)*(3*r + 1)/2
Find g such that -7*g - 15 - 37*g**2 - 15 + 32*g**2 - 18*g = 0.
-3, -2
Suppose 0 = 3*d + 5*s + 34, -s + 0*s - 2 = 0. Let i be 36/8 + d/2. Factor 1/2 + 2*l**3 - 2*l - i*l**2.
(l - 1)*(l + 1)*(4*l - 1)/2
Let g(q) be the first derivative of -q**9/7560 - q**8/1400 + q**6/225 + 2*q**3 - 1. Let f(z) be the third derivative of g(z). Factor f(i).
-2*i**2*(i - 1)*(i + 2)**2/5
Suppose g + 8*g = 0. Solve 3*y - 3/2*y**2 + g = 0.
0, 2
Let g(c) = c + 1. Let t(a) = 4*a**2 + 21*a + 21. Let l(m) = -5*g(m) + t(m). Determine x, given that l(x) = 0.
-2
Let w(i) be the third derivative of -i**8/3360 + i**7/1260 + i**6/360 - i**5/60 - i**4/12 - 2*i**2. Let x(u) be the second derivative of w(u). Factor x(o).
-2*(o - 1)**2*(o + 1)
Let v = -810 + 10538/13. Find d such that -10/13*d + 2/13 + v*d**2 = 0.
1/4, 1
Let b be 8/(-36) - (-2)/6. Let y(t) be the first derivative of -1/6*t**2 - b*t**3 + 2/3*t + 3. Determine m, given that y(m) = 0.
-2, 1
Let h(a) = -a**2 - 3*a + 1. Let t be h(-2). Solve -3*f - 18 - t*f**3 - 6*f**2 + 18 = 0 for f.
-1, 0
Let x(u) be the second derivative of u**4/30 + u**3/15 - 2*u**2/5 + 2*u. Factor x(a).
2*(a - 1)*(a + 2)/5
Let f be (-1)/(2 + (3 - (-16)/(-3))). Let x(w) be the first derivative of 2/9*w**f + 0*w - 3 - 1/6*w**4 + 0*w**2. Factor x(o).
-2*o**2*(o - 1)/3
Let x be -2 + (-2 - 0) + -2. Let k = x + 8. Suppose -b**3 + b**2 + 1 - 2 + b + 0*b**k = 0. Calculate b.
-1, 1
Let f(p) be the first derivative of p**4/20 + 13*p**3/15 + 23*p**2/10 + 11*p/5 - 9. Factor f(n).
(n + 1)**2*(n + 11)/5
Let t(f) be the first derivative of 0*f - 3/5*f**5 - 3/2*f**2 + f**3 - 3 + 3/4*f**4. Find j such that t(j) = 0.
-1, 0, 1
Let q(u) = u**3 - 9*u**2 + 2*u - 13. Let j be q(9). Suppose 5 = j*h - 5. Solve 1/2*t**3 - 1/2*t + 0*t**h + 0 = 0.
-1, 0, 1
Suppose -4*l + 15*l**2 - 12*l + 12*l**3 - 7*l + 3*l**4 + 29*l = 0. Calculate l.
-2, -1, 0
Let d(m) be the second derivative of -m**7/2520 + m**6/240 - m**5/60 - m**4/6 + 2*m. Let i(j) be the third derivative of d(j). Factor i(l).
-(l - 2)*(l - 1)
Let r(x) be the second derivative of x**5/120 + x**4/72 - x**3/6 + 2*x. Suppose r(d) = 0. Calculate d.
-3, 0, 2
Let y(t) be the second derivative of -t**7/7560 - t**6/720 - t**5/180 - t**4/6 + 2*t. Let c(f) be the third derivative of y(f). Factor c(b).
-(b + 1)*(b + 2)/3
Let y(x) = -19*x**3 + 110*x**2 - 109*x + 24. Let r(q) = -37*q**3 + 220*q**2 - 217*q + 47. Let t(s) = 6*r(s) - 13*y(s). Determine c, given that t(c) = 0.
2/5, 1, 3
Suppose 3 = -l + 8. Suppose -5*w + c + l = 0, 39 = 4*w + 3*c + 16. Factor 0*u**w - 1/2*u**3 + 1/2*u + 0.
-u*(u - 1)*(u + 1)/2
Solve -3*o**2 + 369 - 369 + 48*o**4 = 0.
-1/4, 0, 1/4
Let m(f) be the second derivative of f**4/12 + f**3/2 + 5*f. Let p(x) = -x**2 - 4*x. Let u(w) = -5*m(w) - 4*p(w). Factor u(n).
-n*(n - 1)
Solve -1/3*k**5 + 0 + 1/3*k**3 + 0*k - 1/3*k**2 + 1/3*k**4 = 0 for k.
-1, 0, 1
Let r(l) be the first derivative of -l**4/4 - 4*l**3/3 - 2*l**2 + 6. Find z, given that r(z) = 0.
-2, 0
Determine j so that -1/4*j - 1/4*j**3 + 0 - 1/2*j**2 = 0.
-1, 0
Let q be 0 - -3 - (0 + 3). Find b such that -1/3*b**5 + q*b + 0 + 1/3*b**3 - 1/3*b**4 + 1/3*b**2 = 0.
-1, 0, 1
Suppose 0*z + 0 - 2/9*z**3 + 0*z**2 + 1/9*z**4 = 0. Calculate z.
0, 2
Let b(a) be the first derivative of -2*a**3/21 + a**2/7 + 21. Factor b(n).
-2*n*(n - 1)/7
Determine m so that 8/11 - 2/11*m**2 - 2/11*m**3 + 8/11*m = 0.
-2, -1, 2
Let z = -1 + 4. Let f(q) = 8*q**5 + 5*q**4 - q**2 - 4*q. Let y(c) = 7*c**5 + 4*c**4 - c**3 - c**2 - 3*c. Let l(m) = z*f(m) - 4*y(m). What is x in l(x) = 0?
-1, -1/4, 0, 1
Suppose 0 = 11*a - 14*a + 9. Let o(r) be the first derivative of r - 9/8*r**4 - 1/3*r**a - 1 + 9/4*r**2. Suppose o(q) = 0. Calculate q.
-1, -2/9, 1
What is a in 47*a**2 + 52*a**2 - 98*a**2 + 3*a = 0?
-3, 0
Solve 18/5 + 12/5*q + 2/5*q**2 = 0.
-3
Let w be 0*5*(-2)/(-40). Factor -1/3*j**3 + 2/3 + j + w*j**2.
-(j - 2)*(j + 1)**2/3
Let t(a) be the second derivative of 2*a**7/147 + 8*a**6/105 + 4*a**5/35 - 2*a**4/21 - 10*a**3/21 - 4*a**2/7 - a - 10. Factor t(g).
4*(g - 1)*(g + 1)**3*(g + 2)/7
Let o(m) be the second derivative of 16/5*m**5 - 32*m**2 + 0 - 32/3*m**3 + 2/21*m**7 + 8/3*m**4 + 3*m + 14/15*m**6. Factor o(x).
4*(x - 1)*(x + 2)**4
Suppose 2*h + 15 = -3*h. Let i be 2/h + 8/12. Factor 0*o**2 + 0*o**4 + 2/3*o**5 + i - 4/3*o**3 + 2/3*o.
2*o*(o - 1)**2*(o + 1)**2/3
Let p(t) = -5*t - 1. Let x be p(-1). Suppose 2*k**2 - 2 + 4 - x*k + 8*k = 0. What is k?
-1
Let q be (-20 - -22)/((-2)/(-4)). Determine w, given that -15/8*w + 15/8*w**q + 3/8 + 15/4*w**2 - 3/8*w**5 - 15/4*w**3 = 0.
1
Let c(g) = -g**2 - 32*g - 87. Let r be c(-29). Let i(v) be the third derivative of 2*v**2 + 1/120*v**5 + 0*v + 1/240*v**6 + 0*v**4 + 0 + r*v**3. Factor i(b).
b**2*(b + 1)/2
Let j(z) be the second derivative of 1/6*z**2 + 0*z**4 + 0 + 1/9*z**3 - 1/90*z**6 - 5*z - 1/30*z**5. Determine x, given that j(x) = 0.
-1, 1
Suppose 0 = o - 3*k + 12, 3*o + 3 = 2*k + 2. Let r(z) be the first derivative of 0*z - 2/9*z**o + 1 + 1/3*z**2. Factor r(y).
-2*y*(y - 1)/3
Let s(p) be the first derivative of 4 + 0*p + 2/7*p**3 - 3/14*p**2 - 3/28*p**4. Solve s(b) = 0.
0, 1
Let s(d) be the second derivative of -d**6/660 + 3*d**2/2 + 2*d. Let j(h) be the first derivative of s(h). What is f in j(f) = 0?
0
Let d(w) = 10*w**2 + 10*w + 5. Let n(s) = -s**2 + s + 1. Let m(k) = -d(k) - 5*n(k). Factor m(o).
-5*(o + 1)*(o + 2)
Let m(i) be the third derivative of -i**6/90 - 7*i**5/180 + i**4/36 - 4*i**2. Factor m(x).
-x*(x + 2)*(4*x - 1)/3
Suppose -5*n + 5*k = 2365, 0 = -4*n + 3*k - 0*k - 1896. Let j = -4289/9 - n. Determine r, given that -2/9*r**5 + 0*r**3 + j*r**4 + 0 - 4/9*r**2 + 2/9*r = 0.
-1, 0, 1
Let u = -4 - -8. Suppose 2 - 2*q**3 + q**4 + q**3 - u*q + 5*q**3 - 3*q**4 = 0. Calculate q.
-1, 1
Let b(o) be the third derivative of o**8/2856 - 4*o**7/1785 + o**6/255 + o**5/255 - 5*o**4/204 + 2*o**3/51 + 34*o**2. Let b(z) = 0. Calculate z.
-1, 1, 2
Let o be (-3)/(-1 + (-3)/6). Factor 2*x + 1 + 6*x**4 + 7*x**3 - 5 + 22*x**o + 15*x**3.
2*(x + 1)**2*(x + 2)*(3*x - 1)
Let f(d) = -19*d**3 + 16*d**2 + 11*d + 11. Let t(p) = 5*p**3 - 4*p**2 - 3*p - 3. Let b be 55*2*(-4)/20. Let h(i) = b*t(i) - 6*f(i). Solve h(u) = 0.
0, 2
Let i(d) be the third derivative of d**7/420 - d**6/90 + d**5/60 + d**4/24 - 3*d**2. Let j(l) be the second derivative of i(l). Factor j(y).
2*(y - 1)*(3*y - 1)
Let t be (-3 + 1)/(3 + -9). Factor 2/3*w - 1/3 - t*w**2.
-(w - 1)**2/3
Let n(g) be the first derivative of -2 - 3*g - 17*g**2 - 2*g**2 + 6*g + 36*g**3 + g**2. Suppose n(k) = 0. What is k?
1/6
Let s(q) = -11*q**3 - 2*q**2 + 3. Let k(z) = -122*z**3 - 22*z**2 + 34. Let c(t) = -6*k(t) + 68*s(t). Factor c(l).
-4*l**2*(4*l + 1)
Let y(r) be the first derivative of -5*r**3/3 + 35*r**2 - 245*r - 74. Find i, given that y(i) = 0.
7
Let q be (-2*6/(-120))/(12/11). Let p(r) be the third derivative of -1/15*r**6 + 0 + 0*r**3 + r**2 - 1/24*r**4 + 0*r - q*r**5 - 1/60*r**7. Factor p(y).
-y*(y + 1)**2*(7*y + 2)/2
Let j(c) be the second derivative of 5*c**5/4 - 5*c**4/3 + 2*c**3/3 - 7*c. Factor j(z).
z*(5*z - 2)**2
Find r, given that -r**2 + 3/4 + 11/4*r = 0.
-1/4, 3
Let y(d) be the first derivative of -d**4/7 + 16*d**3/21 - 6*d**2