(l + 1)**2
Let h(x) be the third derivative of x**8/600 + x**7/70 + x**6/25 + 2*x**5/75 - 5*x**3/6 - 3*x**2. Let p(k) be the first derivative of h(k). Solve p(i) = 0.
-2, -2/7, 0
Let a(m) be the second derivative of m**7/252 - m**6/60 + m**5/60 + m**4/36 - m**3/12 + m**2/12 - 2*m. Factor a(u).
(u - 1)**4*(u + 1)/6
Let u(x) be the second derivative of -x**5/110 - 3*x**4/22 - 9*x**3/11 - 27*x**2/11 + 14*x. What is n in u(n) = 0?
-3
Suppose 3*l - y - 6 = 0, -5 + 13 = -l - 3*y. Suppose -2*r + c = -r + l, -c - 7 = -5*r. Factor -3*q + 2 - 7 + q**2 - 1 + 2*q**r.
3*(q - 2)*(q + 1)
Let h(l) be the first derivative of -l**4/2 - 3*l**2 - 4*l + 4. Let r(j) = -4*j**3 + j**2 - 12*j - 7. Let a(d) = 11*h(d) - 6*r(d). Find x such that a(x) = 0.
1
Let t(h) = -h + 4. Suppose 3*n - 20 = -5*q, q + 0 - 4 = 0. Let j be t(n). Suppose 0*m**2 + 1/4*m**j - 1/4*m**5 + 0*m + 0 + 0*m**3 = 0. What is m?
0, 1
Let k = 6630/11 - 602. Let 32/11*i - 92/11*i**3 - 18/11*i**2 + k + 70/11*i**4 = 0. What is i?
-2/5, -2/7, 1
Let t(y) be the first derivative of 1/2*y**2 + 0*y + 0*y**3 - 1/60*y**5 - 1/12*y**4 - 3. Let b(m) be the second derivative of t(m). Factor b(i).
-i*(i + 2)
Let v = 6 - 1. Suppose -v*q + 0*q = 2*x - 16, 3*q + 2*x = 12. Factor 4/7 - 2*t - 18/7*t**q.
-2*(t + 1)*(9*t - 2)/7
Let i(d) be the third derivative of -d**5/100 + d**3/10 + 6*d**2. Factor i(z).
-3*(z - 1)*(z + 1)/5
Let b be -3 - 52/(-10) - (-1)/(-5). Factor 0 - 3/2*q**3 + 3*q + 3/2*q**b.
-3*q*(q - 2)*(q + 1)/2
Factor -1/4*l + 0*l**2 + 0 + 1/4*l**3.
l*(l - 1)*(l + 1)/4
Let i be -4 + (-335)/(-30) - 1/(-3). Solve -i*q**3 - 12*q**2 - 3/2*q**4 - 6*q + 0 = 0 for q.
-2, -1, 0
Let r = 444 + -442. Determine g, given that 1/3*g**r + 1/3*g + 0 = 0.
-1, 0
Let o be 3/10*(-19)/(-36). Let i = o + 1/24. Determine b, given that i*b**2 + 0 + 0*b - 1/5*b**3 = 0.
0, 1
Let l be (-198)/3*(-9)/(-6). Let o be (l/(-77))/((-4)/(-7)). Find k such that 0 - 3/4*k**4 + 3/4*k + 9/4*k**3 - o*k**2 = 0.
0, 1
Let h = 24 - 21. Factor 4*c + 4*c**4 - 4 - 4*c**2 - h - 4*c**3 + 7.
4*c*(c - 1)**2*(c + 1)
Suppose 52*p**2 + 12*p + 0 + 109/3*p**3 + 25/3*p**5 - 130/3*p**4 = 0. What is p?
-2/5, 0, 3
Determine b so that 2/15*b**2 + 8/15 + 2/3*b = 0.
-4, -1
Factor 4/3*l**2 - 16/3*l + 0.
4*l*(l - 4)/3
Solve -28/5*y**3 - 16/5 + 32/5*y - 4/5*y**5 - 4/5*y**2 + 4*y**4 = 0 for y.
-1, 1, 2
Let g(v) be the third derivative of -v**7/945 + v**6/540 + v**5/270 - v**4/108 + 3*v**2 + v. Suppose g(y) = 0. What is y?
-1, 0, 1
Let k(j) be the first derivative of j**4 + 16*j**3 + 72*j**2 - 25. Factor k(s).
4*s*(s + 6)**2
Let z(h) be the second derivative of -h**7/3780 + h**5/180 - h**4/6 - 2*h. Let v(s) be the third derivative of z(s). Factor v(t).
-2*(t - 1)*(t + 1)/3
Let h = -298 + 301. Solve 6/5*z**2 - 8/5 - 8*z - 98/5*z**4 + 28*z**h = 0 for z.
-2/7, 1
Let u(k) be the second derivative of -k**7/70 - 4*k**2 + 4*k. Let d(a) be the first derivative of u(a). Factor d(q).
-3*q**4
Let s(m) be the third derivative of 5*m**8/448 + m**7/35 + m**6/160 - m**5/40 - 2*m**2. Factor s(b).
3*b**2*(b + 1)**2*(5*b - 2)/4
Let i = 54/7 - 134/21. Suppose i + 17/3*l**2 - 16/3*l - 5/3*l**3 = 0. Calculate l.
2/5, 1, 2
Suppose -3*t + q + 9 = 0, -t + 4 = -2*q - 4. Let w(n) be the third derivative of 0 - 1/6*n**4 - 2/3*n**3 - 1/60*n**5 + 0*n + t*n**2. What is m in w(m) = 0?
-2
Let g = 37 + -18. Let q be g/7 + 4/14. What is m in -4*m**2 + 0*m**3 - m**q + 5*m**3 - m**4 = 0?
0, 2
Let h(z) = z**2 - z - 1. Suppose -m - 26 = 5*c + 2, -5*c + 4*m = 38. Let o(v) = 9*v**2 - 9*v - 6. Let a(g) = c*h(g) + o(g). Factor a(s).
3*s*(s - 1)
Let y(r) be the first derivative of r**4/6 - 2*r**3/9 - r**2/3 + 2*r/3 + 5. Factor y(h).
2*(h - 1)**2*(h + 1)/3
Let v be 58/4 + 2/(-4). Let r be 2/(-7) - (-116)/v. Suppose 7*i**3 + 3*i**2 + 2*i**4 + i - 5*i**4 - r*i**2 = 0. What is i?
0, 1/3, 1
Suppose 0*k - 2*c - 4 = -4*k, 6 = 3*c. Let i be k + (-1)/(-5) - 2. Factor 0 + 4/5*o**2 - i*o.
o*(4*o - 1)/5
Let o be 2/(-15) - 20/(-150). Let q(s) be the third derivative of -2*s**2 - 1/60*s**5 - 1/480*s**6 - 1/24*s**4 + 0*s + 0*s**3 + o. Factor q(a).
-a*(a + 2)**2/4
Let p(h) be the first derivative of -5*h**6/6 + 5*h**4 + 10*h**3/3 - 15*h**2/2 - 10*h + 10. Factor p(j).
-5*(j - 2)*(j - 1)*(j + 1)**3
Let s be 3 + 20/5 + -3. Let r(i) be the first derivative of 0*i - s + 1/3*i**3 + i**2. Factor r(z).
z*(z + 2)
Let t(z) be the second derivative of -z**6/70 + 3*z**5/140 + z**4/28 - z**3/14 + 8*z. Factor t(b).
-3*b*(b - 1)**2*(b + 1)/7
Suppose -25 = -5*d, -2*d + 5 = -q - 5. Let u(f) be the second derivative of 1/2*f**3 + 3*f + f**2 + 1/12*f**4 + q. Factor u(s).
(s + 1)*(s + 2)
Let f(w) be the second derivative of w**5/12 - w**4/18 - 8*w. What is j in f(j) = 0?
0, 2/5
Let d(z) = z**2 - z. Suppose -4*j - 6 = h, -3*h + 3*j = -2*h - 1. Let b(f) = -2*f**2 + 2*f. Let t(y) = h*b(y) - 6*d(y). Factor t(q).
-2*q*(q - 1)
Let b = -40 - -42. Find q such that 1/7*q**3 - 1/7*q**b + 0 - 2/7*q = 0.
-1, 0, 2
Find z, given that -15*z - 3*z**2 + 15*z + 12 = 0.
-2, 2
Let i be 63/36*2/7. Suppose -b**3 + 1/2*b**4 - i*b**2 + 0*b + 0 + b**5 = 0. Calculate b.
-1, -1/2, 0, 1
Let a(o) be the second derivative of -o**6/60 + o**5/40 + o**4/12 - 10*o. Suppose a(z) = 0. Calculate z.
-1, 0, 2
Factor -18*i - 3*i**4 + 14*i**4 + 29*i**3 + 55*i**3 + 25*i**2 - 2*i**4.
i*(i + 9)*(3*i - 1)*(3*i + 2)
Suppose -2*y = -w + 3, 5*y + 2*w = 6*w - 9. Let d be (2/(-4))/y*0. Factor i**3 + d*i**3 - i + 0*i**3.
i*(i - 1)*(i + 1)
Let i be 8 + -3*(1 + 0). Let x = -1 - -6. Find b, given that b**3 - 3*b**i + b**5 - b**4 + b**2 + b**x = 0.
-1, 0, 1
Let m = 3302/11 + -300. Factor 0 + 6/11*n**3 + 6/11*n**2 + m*n + 2/11*n**4.
2*n*(n + 1)**3/11
Factor 2 + 2*y + 4*y + 2 - 4*y**3 + 2*y**3.
-2*(y - 2)*(y + 1)**2
Let h = 30 - -24. Let -h + 5*b**2 - 54 - 4*b**3 - 108*b - 41*b**2 = 0. Calculate b.
-3
Let m(o) be the second derivative of o**9/37800 - o**7/6300 - o**4/6 + 3*o. Let k(i) be the third derivative of m(i). Let k(d) = 0. What is d?
-1, 0, 1
Suppose -x + 3 - 1 = 0. Factor -6*a + a**2 - a**x + 3*a**2.
3*a*(a - 2)
Let k be (-12)/(-6*4/(-32)). Let q be 2*(k/6 + 3). Factor 1/3*g**3 + 0*g**2 - g + q.
(g - 1)**2*(g + 2)/3
Let q(k) = k**4 + 6*k**3 + 3*k**2 - 2*k. Let a(i) = i**3 - i. Let x(r) = -3*a(r) + q(r). Suppose x(d) = 0. Calculate d.
-1, 0
Let l(d) be the first derivative of -25/8*d**4 - 2*d - 6*d**2 - 4 - 15/2*d**3. Factor l(n).
-(n + 1)*(5*n + 2)**2/2
Let n(z) = -z. Let y(k) = 2*k**3 + 2*k**2 + k. Let r(l) = 3*l - 4. Let p be r(3). Let o(j) = p*n(j) + y(j). Suppose o(q) = 0. What is q?
-2, 0, 1
Suppose -5*g - i - 2*i = -13, -i = -1. Let x(m) be the third derivative of 0*m**3 + 7/120*m**6 + 0*m**4 + 0*m - m**g - 1/30*m**5 + 0. Factor x(b).
b**2*(7*b - 2)
Let u(n) be the third derivative of n**6/210 - n**5/35 + n**4/14 - 2*n**3/21 - 7*n**2. Suppose u(z) = 0. Calculate z.
1
Let t(z) be the second derivative of z**8/280 - z**7/105 + z**6/180 + 2*z**3/3 - z. Let q(d) be the second derivative of t(d). Solve q(w) = 0 for w.
0, 1/3, 1
Let y be (-20)/6*(-6)/35. Let w(j) be the first derivative of -2/21*j**3 + y*j**2 - 8/7*j - 2. Suppose w(t) = 0. What is t?
2
Factor 12*t**5 - 44*t**4 - 8*t**3 - 53*t**4 + 93*t**4.
4*t**3*(t - 1)*(3*t + 2)
Let r(l) = -6*l**2 - 2*l + 4. Let s(i) = -i - 11. Let j be s(-7). Let b(c) = c**2 + c. Let q(z) = j*b(z) - r(z). What is g in q(g) = 0?
-1, 2
Let m(p) be the third derivative of -p**6/780 - p**5/390 + 8*p**2. Factor m(g).
-2*g**2*(g + 1)/13
Let z = -2 - -5. Suppose -2*p - 2*f = 4, 17 + 18 = 5*p - 4*f. Find c, given that -2*c**3 - z*c**3 - 2*c**2 + 3*c**p = 0.
-1, 0
Let y(r) be the second derivative of 3*r**5/5 + 3*r**4 + 9*r**3/2 + 3*r**2 - r + 20. Let y(n) = 0. Calculate n.
-2, -1/2
Let d = 34 - 48. Let b(h) = -9*h**4 - 5*h**3 + 7*h**2. Let a(o) = -4*o**4 - 2*o**3 + 3*o**2. Let m(w) = d*a(w) + 6*b(w). Suppose m(v) = 0. Calculate v.
0, 1
Find u, given that 6*u - 15*u**2 + 18*u - 45*u**2 - 2 - 12*u**2 = 0.
1/6
Let c = -12 - -9. Let f(q) = -q - 1. Let y be f(c). Factor 8/9*i**3 + y*i - 8/3*i**2 - 4/9.
2*(i - 2)*(2*i - 1)**2/9
Let l(y) be the third derivative of 0 + 1/48*y**4 - y**2 + 1/120*y**5 - 1/12*y**3 - 1/240*y**6 + 0*y. Factor l(b).
-(b - 1)**2*(b + 1)/2
Suppose 15/4*t**3 + 3/4*t**2 - 3/4*t**5 - 3/4*t**4 + 3 - 6*t = 0. Calculate t.
-2, 1
Let a(h) be the first derivati