nd r such that -8*r**2 + 74*r**3 - 19 + 1 - 4*r**2 - 71*r**3 - 33*r = 0.
-1, 6
Let l(j) be the second derivative of j**6/120 - j**5/60 - j**2/2 + 2*j. Let a(u) be the first derivative of l(u). Factor a(t).
t**2*(t - 1)
Suppose -23 = -8*r + 1. Find h such that 0*h**2 - 4/5*h**r + 2/5*h + 2/5*h**5 + 0*h**4 + 0 = 0.
-1, 0, 1
Let p(y) be the first derivative of -4*y**4 - 28*y**3/3 - 4*y**2 + 4*y + 5. Let p(u) = 0. Calculate u.
-1, 1/4
Let 98/3*t + 2/9*t**3 - 686/9 - 14/3*t**2 = 0. What is t?
7
Let c(k) be the second derivative of -k**6/180 - k**5/30 - 5*k**4/72 - k**3/18 - k. Let c(n) = 0. Calculate n.
-2, -1, 0
Let o(s) = s + 2. Let n be o(-2). Let p = 0 + n. Find x, given that p*x**3 - 2/7*x**2 + 2/7*x**4 + 0 + 0*x = 0.
-1, 0, 1
Suppose 2*z - 8 = -2*z. Let w(b) = -b - 6. Let p be w(-8). Factor -2 + 2 + f + 3*f + p*f**z.
2*f*(f + 2)
Let q(l) be the second derivative of -l**6/180 - l**5/30 - l**4/12 - l**3/6 + 9*l. Let z(u) be the second derivative of q(u). Factor z(o).
-2*(o + 1)**2
Let a(u) be the first derivative of u**5/10 + 5*u**4/24 + u**3/18 - u**2/12 - 11. Suppose a(r) = 0. Calculate r.
-1, 0, 1/3
Let i(g) = g**4 + g**3 + g**2 - g. Let f(k) = 8*k**4 - 4*k**3 + 14*k**2 - 8*k. Let a(o) = f(o) - 5*i(o). Solve a(x) = 0 for x.
0, 1
Let i(y) = 3*y - 2. Let d be i(2). Suppose -w - d*w = -30. Factor 6*a**2 - 2*a**5 - 4*a**2 - w*a**3 + 8*a**4 - 2*a**4.
-2*a**2*(a - 1)**3
Let m = 418 + -2087/5. Factor -m*o + 6/5 - 3/5*o**2.
-3*(o - 1)*(o + 2)/5
Let l(q) be the first derivative of 3*q**4/8 - q**3 - 15*q**2/4 + 9*q + 15. Let l(z) = 0. What is z?
-2, 1, 3
Suppose -4*c + 21 = -c. Let q be ((-2)/4)/(c/(-42)). Solve 0 + 10/3*z**4 + 2/9*z**q + 2*z**5 - 14/9*z**2 - 4/9*z = 0.
-1, -1/3, 0, 2/3
Let h(x) be the first derivative of -x**5/3 - 25*x**4/3 - 590*x**3/9 - 150*x**2 - 135*x + 8. Find i, given that h(i) = 0.
-9, -1
Find t such that -30 + 4*t**4 - 24*t**4 - 2 - 144*t + 12*t**3 - 200*t**2 - 120*t**3 = 0.
-2, -1, -2/5
Let l(v) = -55*v**2 - 35*v + 70. Let m(r) = 8*r**2 + 5*r - 10. Let u(p) = 3*l(p) + 20*m(p). Factor u(j).
-5*(j - 1)*(j + 2)
Suppose 4*j = -5*z, -2*j + 3*j - z = 0. Factor -8*v**2 + 0*v**2 + 4*v**4 + 7 - 3 + j.
4*(v - 1)**2*(v + 1)**2
Factor 4/5 - 6/5*h**2 - 2/5*h + 2/5*h**3 + 2/5*h**4.
2*(h - 1)**2*(h + 1)*(h + 2)/5
Let r(k) = 2*k**4 + 15*k**3 - 5*k**2 + 9*k + 9. Let u(t) = -t**4 - 7*t**3 + 2*t**2 - 4*t - 4. Let y(o) = 4*r(o) + 9*u(o). Solve y(m) = 0.
-2, -1, 0
Let f be -1*(2 + -6 + 1). Solve 3*h - 6*h**3 + 0*h + 3*h**f = 0.
-1, 0, 1
Let y = -1/6 - -7/18. Let -y*w**3 + 2/3*w**4 + 8/9 + 0*w + 2/9*w**5 - 14/9*w**2 = 0. What is w?
-2, -1, 1
Let w(f) = 46*f + 371. Let q be w(-8). Let -4/7*j + 0*j**2 - 2/7 + 2/7*j**4 + 4/7*j**q = 0. What is j?
-1, 1
Suppose 3*t - 6 = -4*h, 2*t + h - 4*h = 4. Factor 0 - 4/3*o - 2/3*o**t.
-2*o*(o + 2)/3
Let m(i) be the second derivative of i**5/30 + i**4/18 - i**3/9 - i**2/3 - 5*i. Find t such that m(t) = 0.
-1, 1
Let q(x) be the first derivative of 3/10*x**5 - 1/2*x**4 + 0*x**2 + 1/3*x**3 - 1/15*x**6 + 1 + 3*x. Let t(f) be the first derivative of q(f). Factor t(i).
-2*i*(i - 1)**3
Let k = 8 - 2. Let t = -4 + k. Find s such that 13*s**2 - 27*s + 5*s**t + 5 + 5*s - 1 = 0.
2/9, 1
Factor -2/5*p + 2/5*p**2 - 4/5.
2*(p - 2)*(p + 1)/5
Let t(x) = 7*x**2 - 150*x + 367. Let m(k) = 2*k**2 - 50*k + 122. Let j(s) = -8*m(s) + 3*t(s). Suppose j(u) = 0. What is u?
5
Let d(u) = 2*u**3 + 14*u**2 + 8*u + 2. Let w(r) = r**3 - r**2 - 1. Let l(n) = d(n) + 2*w(n). Factor l(h).
4*h*(h + 1)*(h + 2)
Let r(d) be the third derivative of d**6/120 + d**5/30 - 7*d**4/24 + 2*d**3/3 - d**2. Determine i, given that r(i) = 0.
-4, 1
Let l(m) be the first derivative of -3*m**4/32 + 21*m**2/16 + 9*m/4 - 62. Find r, given that l(r) = 0.
-2, -1, 3
Let c be 4/(-1 + 3) - (-40)/(-20). Let c*b + 0 + 1/4*b**2 + 1/4*b**3 = 0. Calculate b.
-1, 0
Let f(r) = -r - 4. Let w be f(-3). Let d be w - (50/8)/(-5). Determine p so that 0 + d*p**2 - 1/4*p = 0.
0, 1
Let y(l) = -2*l**2 + l**2 + 0*l - 1 + 3*l**3 + 2*l. Let p be y(1). Factor 0*f**5 - 2*f + 2*f - f**p + f**5.
f**3*(f - 1)*(f + 1)
Find m, given that -363/2*m**2 + 66*m - 6 = 0.
2/11
Let i be (3/(-3) - -1) + 16/6. Solve -19/3*o**2 + i*o + 4*o**3 - 1/3 = 0.
1/4, 1/3, 1
Let 8*f**2 - 3*f**4 + 13*f**5 + 171*f - f**5 - 16*f**3 - 5*f**4 - 167*f = 0. What is f?
-1, -1/3, 0, 1
Let b(k) = 8*k**5 - 21*k**3 - 5*k**2 + 8*k - 5. Let j(c) = 12*c**5 - 31*c**3 - 7*c**2 + 12*c - 7. Let x(y) = -7*b(y) + 5*j(y). Factor x(m).
4*m*(m - 1)**2*(m + 1)**2
Solve 27/7*q**2 + 3/7*q**3 - 75/7 + 45/7*q = 0 for q.
-5, 1
Let o(g) be the third derivative of g**6/24 - 5*g**4/24 + 7*g**2. Solve o(u) = 0.
-1, 0, 1
Let j = -10/3 - -11/3. Determine v so that -1/3*v**2 - j*v + 0 = 0.
-1, 0
Let x be 8/(-3)*33/(-110). Suppose x*a - 6/5*a**2 + 2/5 = 0. Calculate a.
-1/3, 1
Let 5*m**3 - 10*m**3 + 3*m**3 - 16*m**3 - 39*m**2 - 12 - 3*m**4 - 36*m = 0. Calculate m.
-2, -1
Let j(u) = -3*u + 18. Let n be j(12). Let p = n + 22. Find k such that 4/3*k**3 + 0 + 0*k - 4/3*k**2 + 19/3*k**p - 10/3*k**5 = 0.
-1/2, 0, 2/5, 2
Let i(q) be the third derivative of -q**10/50400 + q**9/20160 - q**5/20 + 3*q**2. Let a(p) be the third derivative of i(p). Find y such that a(y) = 0.
0, 1
Solve 6 + 12*y - y**2 + 3*y**2 + 6*y**2 + y**3 + y = 0.
-6, -1
Suppose 6*l = 11*l - 30. Suppose -3*f - 4*w - 10 = 0, -w + 4*w + l = -3*f. What is o in 1/3 - 2/3*o + 1/3*o**f = 0?
1
Let z be 6/14 + 44/28. Factor 0*q + q**z + 2*q - 3*q**2.
-2*q*(q - 1)
What is x in 18/5*x**2 - 3/5*x**3 + 0 + 0*x = 0?
0, 6
Let r(d) = -d + 11. Let p be r(8). Determine a so that 9*a - 2 + 7*a**4 - 9*a**p - 6*a**2 - a**2 + 2*a**2 + 0*a**3 = 0.
-1, 2/7, 1
Let n(p) be the third derivative of -p**8/420 + p**7/175 + p**6/150 - 2*p**5/75 + p**3/15 + 10*p**2. Find l, given that n(l) = 0.
-1, -1/2, 1
Let t(r) be the third derivative of 0*r**3 + 0*r**5 + 0*r**6 - 8*r**2 + 0*r + 0 + 1/420*r**7 + 0*r**4. Factor t(b).
b**4/2
Let h = 3315/4 - 14058/17. Let v = h - 18/17. Factor -7/4*z**2 + 1/2 + v*z**3 + 5/4*z**4 - 3/4*z.
(z - 1)*(z + 1)**2*(5*z - 2)/4
Factor 1/3*z**2 + 4/3*z + 0.
z*(z + 4)/3
Let a(z) = -z - 5*z - z + 3*z**2 - 2*z**2 + 8. Let c be a(6). Factor 0*i + 0 - 2/3*i**c.
-2*i**2/3
Let w(g) be the first derivative of 3*g**4/8 - g**3 - 3*g**2/4 + 3*g - 10. Factor w(r).
3*(r - 2)*(r - 1)*(r + 1)/2
Determine o, given that -8/3 + 92/3*o - 109*o**3 - 254/3*o**2 + 405*o**5 + 414*o**4 = 0.
-1, -2/3, 1/5, 2/9
Suppose -23 = -4*g - 5*j, 3*g + 10 - 1 = 5*j. Factor -4*d**g - 2 + 2 + 0*d**2 + 4*d.
-4*d*(d - 1)
Suppose -9 = -10*c + 11. Factor -6*s**c - 16/7*s + 8/7.
-2*(3*s + 2)*(7*s - 2)/7
Let y = 0 - 1. Let z = 3 - y. Find v, given that z*v**3 - 3 - 3*v + 5 - v + 2*v**4 - 4 = 0.
-1, 1
Let -7*g**2 - 69*g - 3*g**2 + 10*g**5 + 5 + 5*g**4 - 20*g**3 + 79*g = 0. What is g?
-1, -1/2, 1
Let i be (12/18)/(-6*(-2)/54). Factor 0*b - 1/4*b**i - 1/4*b**2 + 0.
-b**2*(b + 1)/4
Let a be 0/(((-2)/(2/1))/1). Let k(q) be the third derivative of 0 - 1/24*q**4 - 1/9*q**3 + a*q - 1/180*q**5 + 3*q**2. Factor k(g).
-(g + 1)*(g + 2)/3
Let u(x) be the third derivative of x**8/110880 + x**7/27720 - x**5/60 - x**2. Let b(s) be the third derivative of u(s). Factor b(h).
2*h*(h + 1)/11
Let -2634 + 2634 - 2*i**2 = 0. What is i?
0
Let g(q) be the first derivative of -q**4/16 + q**2/8 + 5. Solve g(o) = 0.
-1, 0, 1
Suppose 4*r = 3*g - 82, -4*r - 2*g - g - 94 = 0. Let h be r/(-12) - 9/6. Find b, given that -h*b**5 - 1/3*b**2 + 1/3*b**4 + 0 + 1/3*b**3 + 0*b = 0.
-1, 0, 1
Let y(h) = -h + 4. Let l be y(-6). Suppose -2*w + l = 3*w. Factor 2*o**5 + 2*o**2 - w*o**4 - 2*o**3 - 1 + 1.
2*o**2*(o - 1)**2*(o + 1)
Suppose -2*t = -5*t + 9. Let z(u) be the first derivative of 0*u + 0*u**2 + 2/21*u**t - 2/35*u**5 + 0*u**4 - 2. Factor z(y).
-2*y**2*(y - 1)*(y + 1)/7
Let s(f) = -f**3 - f. Let z(b) = 4*b**3 - 3*b**2 + 3*b. Let w(t) = -5*s(t) - z(t). Factor w(x).
x*(x + 1)*(x + 2)
Let g(n) be the first derivative of n**6/540 - n**5/360 - 2*n**3/3 + 3. Let v(i) be the third derivative of g(i). Determine q, given that v(q) = 0.
0, 1/2
Let t be 114/(5/(20/6)). Factor -t*g**2 + 26*g**3 - 9*g**4 + 2*g**5 + 56*g + 24*g**3 - 7*g**4 - 16.
2*(g - 2)**3*(g - 1)**2
Let r be (-32023)/12155 + (7 - 4). Let l = -2/1105 + r. Factor 0 + 6/11*d**2 + l*d.
2*d*(3*d + 2)/11
Let i(o) be the second deriv