e o, given that l(o) = 0.
-9, 0
Factor -n**2 - 3/4*n**3 - 1/4*n + 0.
-n*(n + 1)*(3*n + 1)/4
Let j(r) = r**3 - r**2 + r. Let k(n) = -5*n**3 + 3*n**2 - n. Let a(f) = -6*j(f) - 2*k(f). Factor a(s).
4*s*(s - 1)*(s + 1)
Let v(x) be the first derivative of -x**6/27 - 8*x**5/45 - 5*x**4/18 - 4*x**3/27 + 8. Factor v(b).
-2*b**2*(b + 1)**2*(b + 2)/9
Suppose 2*p = -2*p + d - 163, -d = -3. Let v be p/75*(-6)/8. Determine f so that -v*f**2 + 0 + 0*f + 1/5*f**3 = 0.
0, 2
Let o(t) = t**4 - t**2 + t. Let i(x) be the third derivative of -x**8/336 - x**7/70 + x**5/20 - 2*x**2. Let n(z) = -i(z) - o(z). Factor n(m).
m*(m - 1)*(m + 1)**3
Suppose 0*j - 4*k - 20 = -2*j, -5*k + 20 = 2*j. Suppose 0 = 5*s - j. Solve 2/7*i**s + 0 - 4/7*i = 0.
0, 2
Determine l, given that -15/2*l**2 - 9/2*l**3 + 3/2*l**4 - 3*l + 3/2*l**5 + 0 = 0.
-1, 0, 2
Suppose 50*p + 59*p - 19*p - 74 - 3*p**2 - 601 = 0. Calculate p.
15
Let n(a) be the first derivative of -3*a**3 + 3/4*a**4 + 1 + 12*a + 0*a**2. Let n(j) = 0. What is j?
-1, 2
Suppose 12*d + 17*d + 3*d = 0. Factor -1/4*n**3 + 0 + d*n**2 + 0*n**4 + 1/4*n**5 + 0*n.
n**3*(n - 1)*(n + 1)/4
Let s(a) = -a**3 - 10*a**2 - 2. Let o be s(-10). Let g be (o - -1)*3/(-12). Factor 0 - g*y**3 - y - y**2.
-y*(y + 2)**2/4
Let f = -4 - -7. Factor -f*n - 5*n**2 - 5*n - 4 + n**2.
-4*(n + 1)**2
Let p(o) be the second derivative of 0 - 2/3*o**3 + o**2 + o + 1/6*o**4. Factor p(b).
2*(b - 1)**2
Let z(q) be the second derivative of q**7/6 + 8*q**6/15 + q**5/5 - 7*q**4/6 - 11*q**3/6 - q**2 + 3*q. Let z(u) = 0. Calculate u.
-1, -2/7, 1
Let z = -6 + -3. Let d(v) = v**2 + 8*v - 6. Let o be d(z). Suppose 0 + 0*a**2 - 3/2*a**o + 1/2*a - a**4 = 0. What is a?
-1, 0, 1/2
Factor -8/11*a + 0 + 2/11*a**2.
2*a*(a - 4)/11
Suppose 0 = 2*t - 4*y - 8, 5*y = -5*t + 2 - 12. Find w such that 1/5*w**2 - 1/5*w + t = 0.
0, 1
Suppose j = -3*j. Let k(q) be the second derivative of -1/10*q**5 - 1/3*q**4 + 0*q**2 - 1/3*q**3 + j + 2*q. Find f such that k(f) = 0.
-1, 0
Let g be -2*((-8 - 2) + 2). Let c be ((-4 - -2) + g)*1. Factor 32*w**5 + 3*w**2 - w**2 + c*w**4 + 34*w**4 + 18*w**3.
2*w**2*(w + 1)*(4*w + 1)**2
Let w be (-2)/11 - 356/(-22). Let -w*z**2 - z**3 + 16*z**2 + z = 0. What is z?
-1, 0, 1
Let g = 0 + 15. Let f = -9 + g. Factor a**2 - 27*a**3 + 39*a**4 - 5*a**2 - 15*a**5 + a**2 + f*a.
-3*a*(a - 1)**3*(5*a + 2)
Let z(j) be the first derivative of -1/6*j**3 + 0*j + 1/8*j**4 + 0*j**2 - 2. Suppose z(i) = 0. Calculate i.
0, 1
Let r(b) be the first derivative of -5*b**4/18 - 16*b**3/27 - b**2/9 + 4*b/9 + 1. Determine p, given that r(p) = 0.
-1, 2/5
Suppose -4*r + 7 = -1. Factor -u**2 + 2 + 2*u - 4 - 2*u**3 + 3*u**r.
-2*(u - 1)**2*(u + 1)
Let r(m) be the second derivative of -5*m**4/12 - 5*m**3/2 - 5*m**2 + 7*m. Find z, given that r(z) = 0.
-2, -1
Let x(f) be the second derivative of 0 + 1/12*f**4 + 1/6*f**3 + 4*f + 0*f**2. Suppose x(q) = 0. Calculate q.
-1, 0
Let a be (-9)/12 + (-27)/(-20). Factor 3/5*m**2 + 3/5*m - 3/5*m**3 - a.
-3*(m - 1)**2*(m + 1)/5
Let t(m) = m - 6. Let a(j) = -2*j - 10. Let g be a(-9). Let y be t(g). Factor -f**4 + 2*f**3 - 2*f**4 + 1 + f**5 - f - 2*f + 2*f**y.
(f - 1)**4*(f + 1)
Let u = 11 + -9. Factor -r**5 - r**5 - 25*r**3 + 13*r**3 - u*r + 8*r**4 + 8*r**2.
-2*r*(r - 1)**4
Factor u**2 + 14*u**4 - 11*u**4 - 4*u**2 + 3*u**3 - 3*u**5.
-3*u**2*(u - 1)**2*(u + 1)
Let f(b) be the second derivative of -b**4/30 - b**3/15 + 6*b. Find x, given that f(x) = 0.
-1, 0
Let v(g) be the second derivative of -g**5/30 + g**4/3 - 4*g**3/3 + g**2 + 4*g. Let m(x) be the first derivative of v(x). Factor m(h).
-2*(h - 2)**2
Let i(n) be the second derivative of n**5/15 - n**4/3 + 2*n**3/3 - 2*n**2/3 + 2*n. Factor i(q).
4*(q - 1)**3/3
Suppose 11 - 1 = 5*v. Suppose 5*h - 6*h + v = 0. Factor 0 + 0*c**h + 1/3*c**4 - 2/3*c**3 + 1/3*c**5 + 0*c.
c**3*(c - 1)*(c + 2)/3
Let v(w) be the first derivative of 2*w**6/3 - 8*w**5/5 + 8*w**3/3 - 2*w**2 - 16. Solve v(q) = 0 for q.
-1, 0, 1
Suppose -20 = -2*d - 4*z, -d - 3*d - 2*z = -22. What is k in -2*k**5 - 4*k**3 - k**2 + 6*k**4 - 3*k**2 + 2 + 0*k**5 + 6*k - d = 0?
-1, 1
Let a(n) be the third derivative of -n**6/96 - n**5/120 - 23*n**2. Solve a(r) = 0.
-2/5, 0
Suppose -7/5*w - 1/5*w**4 + 3/5*w**2 + 3/5*w**3 - 6/5 = 0. What is w?
-1, 2, 3
Let i be -2 + (-1 - 3) + (-150)/(-24). Suppose 0 + 0*c**3 - i*c**2 + 0*c + 1/4*c**4 = 0. Calculate c.
-1, 0, 1
Factor -22*g + 1199*g**2 + 6*g - 64 - 1200*g**2.
-(g + 8)**2
Let n(d) be the first derivative of d**5/30 - d**4/9 + d**3/9 + 8*d - 2. Let m(y) be the first derivative of n(y). Factor m(j).
2*j*(j - 1)**2/3
Let c(i) be the third derivative of 0*i**3 - 1/60*i**5 + 0*i + 0 - 1/40*i**6 + 1/12*i**4 + 1/210*i**7 - 2*i**2 + 1/336*i**8. Factor c(d).
d*(d - 1)**2*(d + 1)*(d + 2)
Let m(k) = -k - 4. Let l be m(-6). Suppose x - l = -0*x. Factor 0*o**3 + x*o**2 - 1 - o**2 + o - o**3.
-(o - 1)**2*(o + 1)
Let m(t) be the first derivative of -1/24*t**6 + 0*t**4 + 1 + 0*t**3 + 0*t**2 + 0*t - 1/20*t**5. Factor m(i).
-i**4*(i + 1)/4
Let o(r) = r**2 + 3*r - 14. Let i be o(-6). Let b(u) be the second derivative of 1/6*u**i + u + 0 + u**2 - 2/3*u**3. Factor b(d).
2*(d - 1)**2
Let m(z) be the second derivative of z**8/23520 + z**7/8820 - z**6/2520 - z**5/420 - z**4/3 - z. Let i(b) be the third derivative of m(b). Factor i(a).
2*(a - 1)*(a + 1)**2/7
Factor 0*t + 10/9*t**3 - 14/9*t**4 + 4/9*t**2 + 0.
-2*t**2*(t - 1)*(7*t + 2)/9
Let y(v) be the third derivative of v**5/300 - v**4/30 - v**3/6 - 52*v**2. Factor y(z).
(z - 5)*(z + 1)/5
Let o(f) be the third derivative of -f**7/6300 - f**6/900 - f**5/300 - f**4/12 - 2*f**2. Let r(v) be the second derivative of o(v). Factor r(s).
-2*(s + 1)**2/5
Let s(n) be the first derivative of 2/3*n**3 + 0*n + 1/30*n**5 + n**2 - 1 + 1/4*n**4. Let v(q) be the second derivative of s(q). Factor v(p).
2*(p + 1)*(p + 2)
Let p = 1/10 + 3/20. Let d(b) be the second derivative of -1/6*b**3 + 2*b + 0 - p*b**2 - 1/24*b**4. Factor d(h).
-(h + 1)**2/2
Suppose -3*h + 15 = -3*j, 0*j = j + 5. Suppose h = -5*t + 8 + 112. What is x in -24*x**2 + 28*x**3 + 0*x + 22*x**4 - 7*x - t*x**5 + 2 + 3*x = 0?
-1, -1/3, 1/4, 1
Let g(r) be the first derivative of -2/3*r**3 + 0*r + 0*r**2 - 2/3*r**6 + 7/4*r**4 - 4 + r**5. Determine z, given that g(z) = 0.
-1, 0, 1/4, 2
Factor 0 - 4/7*n**3 + 0*n - 1/7*n**2.
-n**2*(4*n + 1)/7
Let b(w) be the first derivative of 35*w**3/6 - 25*w**2/4 - 5*w - 20. Determine l, given that b(l) = 0.
-2/7, 1
Factor 2/21*s + 2/21*s**2 - 4/21.
2*(s - 1)*(s + 2)/21
Suppose 4*b + 15 + 5 = 0. Let t be (-7)/b - (-6)/(-15). Determine l, given that t - 5 + l**2 + 2*l + l**2 = 0.
-2, 1
Let n(x) be the first derivative of -x**6/90 + 2*x + 2. Let i(j) be the first derivative of n(j). Determine f, given that i(f) = 0.
0
Let a(i) be the second derivative of -i**7/70 - i**6/10 - i**5/5 + i**2 - 2*i. Let g(b) be the first derivative of a(b). Suppose g(r) = 0. Calculate r.
-2, 0
Let p = -5587/5 + 1118. What is k in 3/5*k**4 + p + 12/5*k + 12/5*k**3 + 18/5*k**2 = 0?
-1
Let v(n) be the third derivative of 0*n**7 + 0*n - 1/100*n**6 + 2*n**2 + 1/40*n**4 + 0*n**5 + 0 + 0*n**3 + 1/560*n**8. Factor v(t).
3*t*(t - 1)**2*(t + 1)**2/5
Let h(b) = -b + 11. Let t be h(9). Suppose -t*r = -1 - 3. Find y, given that -y**4 - y**4 - y + 2*y**2 - 2*y**2 + y**5 + 2*y**r = 0.
-1, 0, 1
Let n(u) be the third derivative of -u**5/45 + 2*u**4/9 - 8*u**3/9 + 31*u**2. Factor n(w).
-4*(w - 2)**2/3
Let h(f) be the second derivative of 0*f**2 + f - 1/30*f**5 + 1/9*f**3 + 0 + 0*f**4. Factor h(v).
-2*v*(v - 1)*(v + 1)/3
Let h(y) be the third derivative of y**7/140 - y**6/40 - y**5/40 + y**4/8 + 7*y**2. Factor h(u).
3*u*(u - 2)*(u - 1)*(u + 1)/2
Let a(v) be the third derivative of 1/108*v**4 + 1/270*v**5 + 0 + 0*v**3 + 3*v**2 + 0*v. Factor a(h).
2*h*(h + 1)/9
Solve 0*p**2 - 2/3*p**3 - 2/3*p**5 + 0 - 4/3*p**4 + 0*p = 0.
-1, 0
Let m(w) be the first derivative of -w**3/18 - 14. Factor m(s).
-s**2/6
Let p(m) be the first derivative of -4*m**3/3 + 4*m**2 + 32*m - 7. Factor p(v).
-4*(v - 4)*(v + 2)
Let t = -3 - -5. Solve 6 - 4 + 2*o - 1 - 2*o**2 + 3*o**t = 0 for o.
-1
Suppose 0 = -5*c - 4*n + 1177, -c + 3*c = 2*n + 478. Let q = c - 1181/5. Solve 6/5*y**3 - 6/5*y**5 + 0 - q*y**2 + 4/5*y**4 + 0*y = 0.
-1, 0, 2/3, 1
Let h(v) be the third derivative of 2*v**2 +