23*l**3/5 + 17*l**2/5 + 258*l. Factor m(y).
2*(y + 17)*(4*y + 1)/5
Find v, given that 2/11*v**2 + 32/11*v + 0 = 0.
-16, 0
Suppose 2*b = -u + 3, 5*b = -0*b - 5*u. Let l(z) be the second derivative of -1/4*z**4 + 1/10*z**6 + 0 + 0*z**2 + 0*z**b + 0*z**5 - 3*z. Factor l(s).
3*s**2*(s - 1)*(s + 1)
Let o be (-4)/(-15)*(1365/286 - (-15)/(-55)). Let k be ((0 - 0)*1)/2. Factor -2/5*l**2 + o*l + k.
-2*l*(l - 3)/5
Let f(y) be the first derivative of -2 - 3/4*y**4 - 15/2*y**2 + 4*y**3 + 6*y. Factor f(p).
-3*(p - 2)*(p - 1)**2
Let b be (0 - 2)*1 + -30. Let t be 4/b*-10 + -1. Let -1/4 - t*l**2 - 1/2*l = 0. Calculate l.
-1
Determine l so that l + 6/5*l**2 + 0 + 1/5*l**3 = 0.
-5, -1, 0
Let u be (608/112 - 4) + 16/28. Solve -2/3*o - 1 + 1/3*o**u = 0.
-1, 3
Let d be (5 - 21/4)*(-46)/(-4). Let q = -283/104 - d. Factor -q*s**2 + 0 + 4/13*s.
-2*s*(s - 2)/13
Let y(l) be the first derivative of -7/3*l - 24 + 1/9*l**3 - l**2. Factor y(z).
(z - 7)*(z + 1)/3
Let s(l) = -4*l - 97. Let r be s(-25). Let f(b) be the first derivative of -1/3*b**r + 1 + b + 0*b**2. Factor f(q).
-(q - 1)*(q + 1)
Let c(r) be the third derivative of r**7/98 + 4*r**6/35 + 37*r**5/140 + 5*r**4/28 + 4*r**2. Suppose c(b) = 0. What is b?
-5, -1, -2/5, 0
Let b(u) = -u**2 + 1. Let z(r) be the first derivative of -r**3/3 - 7*r**2/2 + 6*r - 9. Let v(y) = 3*b(y) - z(y). Find n, given that v(n) = 0.
1/2, 3
Let y(d) = -19 + 24 + 25 - 325*d**2 - 135*d**3 + 25 - 55*d. Let h(f) = 5*f**3 + 12*f**2 + 2*f - 2. Let p(x) = 55*h(x) + 2*y(x). Find v, given that p(v) = 0.
-2, 0
Let -5*u**4 + 6*u**2 - 131*u**3 - 128*u**3 - 56*u**2 + 294*u**3 = 0. Calculate u.
0, 2, 5
Let s(l) be the second derivative of -l**7/84 - l**6/60 + l**5/2 - 2*l**4/3 - 16*l**3/3 + 20*l**2 - 223*l. Find j such that s(j) = 0.
-5, -2, 2
Let m(a) = -3*a**4 + 48*a**3 - 158*a**2 + 160*a. Let h(n) = n**4 - n**3 + n**2. Let i = -8 - -9. Let b(o) = i*m(o) - 2*h(o). Determine k, given that b(k) = 0.
0, 2, 4
Let k(c) = -c + 13. Let j be k(7). Suppose y + j = 2*b, y + 4*y = 0. Factor 45 - 81*m + 27*m**2 - 5*m**3 + 2*m**b + 36 + 0*m**3.
-3*(m - 3)**3
What is n in n**3 + 12*n**2 + 44*n - 10*n**3 - 41*n**3 - 7 - 17 + 12*n**4 + 6*n**3 = 0?
-1, 2/3, 1, 3
Let s be 0 + (2/(-4))/(49/(-56)). Solve -2*i**3 + 18/7*i**4 + 0*i - s*i**2 + 0 = 0.
-2/9, 0, 1
Factor -3/2*l**3 + 9/4*l**2 + 3/2*l + 0.
-3*l*(l - 2)*(2*l + 1)/4
Let n(p) = p**3 + 10*p**2 - p - 3. Let s be n(-10). Let h = 1 + s. Find u such that 0 - h*u - 2 - 2*u**2 - 4 = 0.
-3, -1
Let g(m) = m**2 + 5*m - 4. Let x be g(-6). Let q = x + 1. Factor 0 - 2 + 2 - 9*t + 9*t**2 + q - 3*t**3.
-3*(t - 1)**3
Let u(f) be the second derivative of -7*f - 1/22*f**4 - 1/110*f**5 - 1/11*f**2 - 1/11*f**3 + 0. What is i in u(i) = 0?
-1
Let t(j) be the second derivative of j**8/2240 + j**7/420 + j**6/240 + j**4/12 + 6*j. Let v(l) be the third derivative of t(l). Solve v(n) = 0 for n.
-1, 0
Let c(l) be the first derivative of -5*l**4/24 - 8*l**3/3 - 25*l**2/12 + 3*l + 288. Let c(w) = 0. What is w?
-9, -1, 2/5
Let f(k) = 142*k + 24. Let x be f(-22). Let y be (-2)/7 + (x/(-105))/10. What is n in -16/3*n - 10/3*n**2 + y = 0?
-2, 2/5
Let 2/3*k + 2/3 + 1/6*k**4 - 1/2*k**2 - 1/3*k**3 = 0. What is k?
-1, 2
Suppose -f + 14 = 9. Let v(l) be the second derivative of -1/100*l**f + 0*l**3 + 0 + 0*l**2 - 1/60*l**4 - 2*l. Suppose v(r) = 0. Calculate r.
-1, 0
Let w(a) = -2*a**3 + 2*a**2 - a + 4. Let s be w(2). Let h(f) = 3*f**2 + 5*f + 12. Let i(q) = 3*q**2 + 6*q + 12. Let b(d) = s*h(d) + 7*i(d). Factor b(j).
3*(j + 2)**2
Let g = 1233/9992 + 2/1249. Let v(i) be the third derivative of 0 + g*i**4 + 1/120*i**6 + 1/20*i**5 + 1/6*i**3 + 0*i - i**2. Factor v(z).
(z + 1)**3
Suppose 3*b + 5 = 14. Factor 6*u**2 - 39*u + 3*u**b + 39*u.
3*u**2*(u + 2)
Let c(y) be the second derivative of -5/12*y**4 + 0*y**2 + 1/6*y**6 + 8*y + 5/6*y**3 + 0 - 1/4*y**5. Solve c(h) = 0.
-1, 0, 1
Let s(b) be the second derivative of -1/4*b**4 - 5/2*b**2 - 1/20*b**5 + 2*b + 3/2*b**3 + 0. Factor s(f).
-(f - 1)**2*(f + 5)
Let f(s) be the third derivative of -21*s**5/20 - 37*s**4/16 + 5*s**3/4 + s**2 - 67. Determine j so that f(j) = 0.
-1, 5/42
Let x(a) be the second derivative of a**5/4 + 5*a**4/2 + 15*a**3/2 + 10*a**2 - 207*a + 2. Factor x(f).
5*(f + 1)**2*(f + 4)
Suppose -3*j + 5*m = -0*j - 13, -22 = -4*j + 2*m. Let a(p) = p - 4. Let x be a(j). Determine r so that -3*r + 17*r**2 - 8*r**x + 2*r**4 + r**4 - 9*r**3 = 0.
0, 1
Let k(i) be the third derivative of 0*i + 9/112*i**8 - 17/40*i**6 + 0 - 7/20*i**5 + 2*i**3 + 3/70*i**7 + i**4 + 27*i**2. Let k(c) = 0. Calculate c.
-1, -2/3, 1
Let q(n) be the third derivative of -n**6/270 + 2*n**5/135 - n**4/54 - 12*n**2 - 7. Let q(c) = 0. What is c?
0, 1
Factor 32/5 + 126/5*g - 8/5*g**2.
-2*(g - 16)*(4*g + 1)/5
Let o(c) = c**3 - 9*c**2 + 12*c + 10. Let y be o(7). Let p be y/60*(0 - 12 - 0). Factor -p*m + 0 - 2/5*m**2.
-2*m*(m + 2)/5
Let y be 4*-56*10*(-1)/(-50). Let h = -4246/95 - y. Factor -6/19*x**2 + 0 - h*x**3 - 4/19*x.
-2*x*(x + 1)*(x + 2)/19
Let h(l) = 50*l**4 - 289*l**3 + 354*l**2 - 131*l + 7. Let m(u) = u**3 - u + 1. Let f(b) = 2*h(b) + 18*m(b). Suppose f(r) = 0. What is r?
1/5, 2/5, 1, 4
Suppose 6 = -3*h + 4*i - 5, 0 = -4*i + 8. Let f be 6 + h + (-1 - 2). Factor -f*y**2 + 0*y**3 + 5*y - 2*y**3 - 6 + 5*y + 0*y**3.
-2*(y - 1)**2*(y + 3)
Determine w so that -2/3*w - 2/3*w**5 + 0 + 0*w**2 + 4/3*w**3 + 0*w**4 = 0.
-1, 0, 1
Let z(o) be the first derivative of 0*o - 2/15*o**5 - 2/15*o**2 - 9 - 3/10*o**4 - 14/45*o**3 - 1/45*o**6. Factor z(d).
-2*d*(d + 1)**3*(d + 2)/15
Let o(s) = -7*s**3 + 29*s**2 - 85*s + 5. Let r(z) = -44*z**3 + 188*z**2 - 552*z + 32. Let p(y) = 32*o(y) - 5*r(y). Factor p(t).
-4*t*(t - 2)*(t + 5)
Factor 1448*i**2 - 2*i - 1448*i**2 + 2*i**3.
2*i*(i - 1)*(i + 1)
Let i(r) = -22*r**2 + 33*r + 14. Let g(z) = -z**2 + 3*z. Let u(j) = -2*g(j) + i(j). Solve u(f) = 0.
-2/5, 7/4
Let p(n) be the third derivative of n**6/900 - 4*n**5/225 + n**4/9 - 16*n**3/45 - 91*n**2 + 1. Determine s so that p(s) = 0.
2, 4
Suppose 16 = 2*j - f + 5*f, f = -5*j + 4. Find z, given that z**2 + j*z**2 - 2*z - 2*z**2 + 0*z**2 = 0.
-2, 0
Let l = -472 - -476. Let g(w) be the third derivative of -1/105*w**7 + 0*w + 0 + 0*w**6 + 0*w**l + 1/15*w**5 - 1/3*w**3 - 6*w**2. Factor g(p).
-2*(p - 1)**2*(p + 1)**2
Factor 0 + 16/3*v - 34/3*v**2 - 2/3*v**4 + 20/3*v**3.
-2*v*(v - 8)*(v - 1)**2/3
Let p(q) = q + 6. Let m be p(-10). Let y(l) = l**2 + 4*l + 2. Let t be y(m). Solve 5*n - t*n + 64*n**2 - 67*n**2 = 0 for n.
0, 1
Let t be ((-16)/52)/((-20)/40*(-4)/(-13)). Factor -3*z + 3/2*z**t + 3/2.
3*(z - 1)**2/2
What is w in -283*w**2 - w**3 - 285*w**2 + 573*w**2 = 0?
0, 5
Let m be (1/3)/((-2)/(-24)). Suppose 5*c = 4*s - 10, 2 = 3*c - m. Factor -3*x**5 - 2*x + 4*x**s + 5*x - 2*x**3 - 2*x.
x*(x - 1)**2*(x + 1)**2
Let x = -80/9 + 1237/45. Let h(m) be the second derivative of 8/3*m**3 + x*m**5 + 0 - 4*m + 0*m**2 + 7/3*m**7 + 35/3*m**6 + 34/3*m**4. Let h(z) = 0. What is z?
-2, -1, -2/7, 0
Suppose 341 = 8*k + 285. Let g(u) be the first derivative of -k + 2/15*u**3 - u**2 + 8/5*u. Factor g(f).
2*(f - 4)*(f - 1)/5
Let v(g) be the second derivative of -g**6/285 - 31*g**5/190 - 99*g**4/38 - 605*g**3/57 + 2662*g**2/19 - 225*g. Factor v(f).
-2*(f - 2)*(f + 11)**3/19
Let b(v) be the third derivative of -1/36*v**4 + 2/135*v**5 + 0*v + 0*v**3 - 1/540*v**6 + 0 - 9*v**2. Factor b(z).
-2*z*(z - 3)*(z - 1)/9
Factor 18 - 4*k**2 - 6 + 38*k + 44 + 14*k.
-4*(k - 14)*(k + 1)
Let k(v) = 9*v**2 - 18*v + 12. Let l(d) be the third derivative of -2*d**5/15 + 17*d**4/24 - 2*d**3 + 3*d**2 - 1. Let h(r) = -5*k(r) - 6*l(r). Factor h(z).
3*(z - 2)**2
Let r(q) be the second derivative of -2*q**6/105 - q**5/35 + 8*q + 4. Let r(o) = 0. What is o?
-1, 0
Let h = 24 + -21. Factor 4*x**3 - 2 + 14*x**h + 6*x**2 + 6*x**4 - 3*x**4 - 7 - 15*x - 3*x**5.
-3*(x - 3)*(x - 1)*(x + 1)**3
Let g(u) = u**2 + u + 1. Let a(k) = -3*k**2 + k - 1. Suppose 143 = -3*o + 137. Let b(f) = o*a(f) - 10*g(f). Factor b(y).
-4*(y + 1)*(y + 2)
Let o(f) = 3*f**5 + 97*f**4 - 179*f**3 + 91*f**2. Let r(a) = a**5 + a**4 + a**3. Let n(d) = -o(d) + 4*r(d). Factor n(v).
v**2*(v - 91)*(v - 1)**2
Let o be (-16)/(-56)*28/16. Let f(j) be the first derivative of 1/4*j**4 + 3 - 1/3*j**3 + j - o*j**2. Factor f(d).
(d - 1)**2*(d + 1)
Let n(t) be the sec