4*l**8 + 45*l**2 - 1/4*l**5 + 0*l + 3/40*l**6 + 0 - 21/16*l**4 - 9/4*l**3. Factor t(h).
-3*(h - 3)**2*(h + 1)**3/2
Let f(s) be the third derivative of 0 + 0*s - 5/6*s**3 - 11*s**2 - 3/16*s**5 - 25/24*s**4. Factor f(j).
-5*(j + 2)*(9*j + 2)/4
Let v(u) be the third derivative of 0 + 0*u**3 + 11*u**2 + 1/30*u**6 + 1/6*u**4 + 2/15*u**5 + 0*u. Determine c so that v(c) = 0.
-1, 0
Let l = -1187 + 1189. Suppose 0*n + 0*n**l + 0 - 3/2*n**3 = 0. What is n?
0
Let r(k) be the first derivative of -3/2*k**2 - 1/20*k**6 + 0*k**3 - 5 + 1/12*k**4 - 1/15*k**5 + 0*k. Let u(y) be the second derivative of r(y). Factor u(v).
-2*v*(v + 1)*(3*v - 1)
Let m(u) be the second derivative of 0*u**2 + 5/12*u**3 + 0 - 1/8*u**5 + 0*u**4 + 13*u. Suppose m(d) = 0. Calculate d.
-1, 0, 1
Suppose 208*k - 36*k = 0. Determine s, given that 1/5*s**2 + s + k = 0.
-5, 0
Suppose 18*y = 27*y - 54. Let i(j) be the third derivative of 1/945*j**7 + 4*j**2 + 0*j + 0 - 1/90*j**5 + 0*j**y + 0*j**3 - 1/54*j**4. Factor i(w).
2*w*(w - 2)*(w + 1)**2/9
Let o(c) be the first derivative of -2*c**3/15 + 67*c**2/5 + 136*c/5 - 38. Suppose o(q) = 0. What is q?
-1, 68
Suppose -3*n + 5*l - l = 49, -15 = n - l. Let p = n + 13. Let 78 - 14 + 10*u + 4*u**p + 22*u = 0. What is u?
-4
Determine g, given that 454*g**2 - 27*g - 14 - g**3 - 13 - 463*g**2 = 0.
-3
Suppose 197 = 3*d + 5*f - 89, -4*f = -8. Suppose -10 = 90*v - d*v. Find i such that i**3 - 1/3*i**4 + 2/3*i - 1/3*i**v + 0 + 5/3*i**2 = 0.
-1, 0, 2
Let t be (-3)/15*(508/(-1143) + (-172)/18). Find r such that 1/3*r**t + 0*r + 1/3*r**3 + 0 = 0.
-1, 0
Let j = -52 + 57. Suppose z - j*p = -5, 2*z - 3*p + 3 = -3*z. Suppose -1/4*t**2 + z*t + 1/4*t**3 + 0 = 0. Calculate t.
0, 1
Suppose 14*d - 32 = -1306. Let l = -88 - d. What is i in -15/4*i - 3/4*i**l - 3*i**2 - 3/2 = 0?
-2, -1
Let o be (-6)/((-2)/((245/(-5))/7 - -8)). Find g such that -19/4*g**2 + 25 + 20*g + 1/4*g**o = 0.
-1, 10
Let k(m) = -12*m**2 - 14*m - 4. Let j be 7 - -7 - 4*1. Let a(d) = -d**2 - d - 1. Let i(x) = j*a(x) - k(x). Factor i(u).
2*(u - 1)*(u + 3)
Let l(n) = 2*n**3 + 148*n**2 + 689*n - 69. Let i be l(-69). Factor -3/5*h**3 - 1/5*h**4 + i - 1/5*h - 3/5*h**2.
-h*(h + 1)**3/5
Let m(r) be the second derivative of -r**6/780 + r**4/156 + 11*r**2/2 - 11*r. Let h(q) be the first derivative of m(q). Factor h(v).
-2*v*(v - 1)*(v + 1)/13
Let g = -2066 - -2068. Let h(c) be the second derivative of 0*c**g - 5*c - 1/6*c**4 - 1/10*c**5 + 0 - 1/12*c**3. Let h(m) = 0. What is m?
-1/2, 0
Let x be (-54)/20*(0 - 6/9). Let s be 7/3 + 10/15. Let -1/5 - 27/5*j**s - 27/5*j**2 - x*j = 0. What is j?
-1/3
Suppose -6 = -11*a + 8*a. Let f be (5 - a) + (-2 - -2). Let 3/4*j + 1/4*j**4 - 3/4*j**f + 1/4*j**2 - 1/2 = 0. Calculate j.
-1, 1, 2
Factor -8/3*a + 0 + 2/3*a**4 + 22/3*a**2 + 2/3*a**5 - 6*a**3.
2*a*(a - 1)**3*(a + 4)/3
Let n be 22 + -26 + 1880/220. Solve 24/11*b**2 + 0 - n*b**5 + 0*b + 190/11*b**4 - 128/11*b**3 = 0.
0, 2/5, 3
Let d be (-7)/21*(-6)/4. Let o(p) be the first derivative of -5 - 1/10*p**5 - p + d*p**3 + 1/8*p**4 - 1/4*p**2. Find x, given that o(x) = 0.
-1, 1, 2
Let v(p) = 4*p + 17. Let c be v(-3). Let y(j) be the third derivative of 1/40*j**c - 1/240*j**6 + 0*j - 1/24*j**4 - 5*j**2 + 0*j**3 + 0. Solve y(x) = 0.
0, 1, 2
Find b such that 512/3 + 1088/3*b + 2/3*b**4 + 214*b**2 + 68/3*b**3 = 0.
-16, -1
Let f(w) = 51*w**2 + 2*w + 7. Let y be f(-2). Suppose 2*v = y - 203. Determine s so that -5/6*s - 1/6 - 2/3*s**v = 0.
-1, -1/4
Find n such that 5832/7 + 11448/7*n - 212/7*n**3 + 2/7*n**4 + 5402/7*n**2 = 0.
-1, 54
Let f(a) be the first derivative of a**4/4 - 3*a**2/2 + 2*a + 120. Solve f(v) = 0.
-2, 1
Suppose -4*w = u + 22, -52 + 72 = u - 3*w. Factor 2/7*n**u - 6/7*n - 8/7.
2*(n - 4)*(n + 1)/7
Factor 89*f + 173 - f**2 + 3*f**2 - 173 + 149*f.
2*f*(f + 119)
Let y(i) be the first derivative of -5*i**4/4 + 10*i**3 + 5*i**2/2 - 30*i - 40. Find r, given that y(r) = 0.
-1, 1, 6
Let i(z) be the first derivative of -z**4/2 - 4*z**3 + 300. Factor i(l).
-2*l**2*(l + 6)
Let i be (-6)/8 + 91/84 + 30/90. Factor -2/3 - i*g**2 - 4/3*g.
-2*(g + 1)**2/3
Find f, given that -600/19*f - 2/19*f**3 + 2000/19 + 60/19*f**2 = 0.
10
Let n(f) be the first derivative of -f**6/60 - 3*f**5/40 - f**4/8 - f**3/12 + 3*f - 3. Let d(k) be the first derivative of n(k). Factor d(g).
-g*(g + 1)**3/2
Suppose -3*i - 5*s + 5 = 0, -i = i - 5*s - 20. Let u be i + 6*1/(-2). Factor -2/5 - 2/5*a**u + 4/5*a.
-2*(a - 1)**2/5
Let r(f) = f**3 - 2*f**2 + 2*f + 2. Let v be r(2). Suppose -v*o - 18 = -12*o. Find x, given that 8/13 - 6/13*x**2 + 0*x - 2/13*x**o = 0.
-2, 1
Find q such that -27*q - 15 - 12/5*q**3 - 72/5*q**2 = 0.
-5/2, -1
Let i(m) be the second derivative of m**4/6 + m**3 + 2*m**2 - 20*m. Factor i(a).
2*(a + 1)*(a + 2)
Suppose -2*x - 10 = -7*x. Let z(v) be the first derivative of -3/8*v + 1/24*v**3 - 4 + 1/8*v**x. Suppose z(i) = 0. Calculate i.
-3, 1
Let s(a) = 15*a**2 + 60*a - 54. Let c(y) = y**2 - y - 1. Let q(u) = -6*c(u) + s(u). Factor q(j).
3*(j + 8)*(3*j - 2)
Let j(s) be the second derivative of s**5/20 + 11*s**4/6 + s + 25. Factor j(p).
p**2*(p + 22)
Let m(p) be the first derivative of -4/11*p - 1/22*p**4 + 3/11*p**2 + 0*p**3 - 16. Factor m(z).
-2*(z - 1)**2*(z + 2)/11
Let f be ((-32)/9)/((-24)/18). Factor 2/3*d**3 + f*d**2 + 8/3*d + 0.
2*d*(d + 2)**2/3
Let y = 76121/14271 - 3/4757. Solve -8/3*z - y*z**2 - 2*z**3 + 0 = 0.
-2, -2/3, 0
Let r(w) be the third derivative of -w**6/24 - 4*w**5 - 275*w**4/2 - 4840*w**3/3 - w**2 - 314*w. Factor r(h).
-5*(h + 4)*(h + 22)**2
Let o(a) be the first derivative of 3 - 7/10*a**5 - 18*a**2 - 25*a**3 - 22/3*a**4 - 3*a. Let c(p) be the first derivative of o(p). Factor c(n).
-2*(n + 3)**2*(7*n + 2)
Let d(l) be the second derivative of -l**6/40 + 7*l**4/16 - 3*l**3/4 + 71*l - 4. Factor d(j).
-3*j*(j - 2)*(j - 1)*(j + 3)/4
Let q = -34 - -38. Factor 12*u**q - 15*u**4 - 3*u + 2*u**4 + 2*u**2 + 3*u**3 - u**2.
-u*(u - 3)*(u - 1)*(u + 1)
Let m(z) be the third derivative of z**5/210 + 5*z**4/84 + 2*z**3/7 + 46*z**2. Factor m(l).
2*(l + 2)*(l + 3)/7
Let x(f) = f**2 - f + 1. Let w(c) = -2*c + 7. Let b(k) = -k + 8. Let v be b(11). Let m be (-5 - (v + 0)) + -3. Let r(t) = m*x(t) + w(t). Factor r(i).
-(i - 1)*(5*i + 2)
Suppose -l = l. Suppose -4*x - 2*v + 6 = 0, 0 = x + v - l - 1. Suppose x*b**2 - 6*b + 8*b - 4*b**2 = 0. What is b?
0, 1
Let b be (-16)/(-6) - 11/(-33). Suppose 4*s + k - b = 3*s, 3*s - k - 5 = 0. Let 0 + 0*y + 1/9*y**4 - 1/9*y**3 - 1/9*y**s + 1/9*y**5 = 0. What is y?
-1, 0, 1
Let v(o) be the third derivative of -o**5/60 + 65*o**2. Suppose 2*h - 1 = 3*h. Let n(c) = -5*c**2 - 3*c - 1. Let x(p) = h*n(p) + 3*v(p). Factor x(g).
(g + 1)*(2*g + 1)
Let z(j) = j**2 - 14*j. Let c be z(14). Determine h so that 3/7*h**4 + 0 - 6/7*h**3 + c*h + 3/7*h**2 = 0.
0, 1
Let c(f) = f**2 - 13*f + 2. Let l be c(13). Factor l + 2*n - 8*n - 4 - 4*n**2 + n - n**3.
-(n + 1)**2*(n + 2)
Suppose 62*m + 18 = 68*m. Let a(l) be the third derivative of -1/40*l**5 + 5/32*l**4 + 0 + 10*l**2 - 1/32*l**6 + 0*l + 1/4*l**m. Factor a(u).
-3*(u - 1)*(u + 1)*(5*u + 2)/4
Let x(k) be the third derivative of 0*k - 8*k**2 - 1/50*k**5 + 0 - 1/40*k**4 + 1/5*k**3 + 1/200*k**6. Factor x(n).
3*(n - 2)*(n - 1)*(n + 1)/5
Let a(v) be the second derivative of 3*v**5/40 - v**4/8 - v**3 + 3*v**2 - 46*v. Factor a(b).
3*(b - 2)*(b - 1)*(b + 2)/2
Let a(k) be the second derivative of -k + 0 - 11/16*k**3 + 13/32*k**4 - 3/40*k**5 + 3/8*k**2. Factor a(s).
-3*(s - 2)*(s - 1)*(4*s - 1)/8
Suppose -16*i = -17*i - 146. Let l = i + 180. What is y in 48*y**4 - 18*y**5 + 56/3*y - l*y**3 - 16/3 - 28/3*y**2 = 0?
-2/3, 2/3, 1
Let o(q) = 2*q**2 - q + 3. Let i(b) = 6*b**2 - 62*b + 12. Let j(r) = -i(r) + 4*o(r). Factor j(s).
2*s*(s + 29)
Suppose -b + 5*b - 16 = 0. Suppose -35*g**3 + 0*g**2 + 34*g**3 - g**b + g**2 + g**5 = 0. Calculate g.
-1, 0, 1
Let t(b) be the first derivative of b**6/720 + 11*b**5/240 + 17*b**3 - 12. Let d(q) be the third derivative of t(q). Find u, given that d(u) = 0.
-11, 0
Solve 0*h + 2/7*h**3 + 0 - 6/7*h**2 = 0.
0, 3
Let l(r) = 12*r**4 + 122*r**3 + 304*r**2 + 253*r + 4. Let q(b) = -4*b**4 - 41*b**3 - 101*b**2 - 84*b. Let s(n) = 4*l(n) + 11*q(n). Factor s(o).
(o + 1)*(o + 4)**2*(4*o + 1)
Let y be 7/28*8*1. Factor -5*f**5 - 10*f**4 - 9*f**5 - 14*f**4 - 6*f**3 + 4*f**