+ 0 + 8/7*k = 0.
-2/7, 0, 2/5
Let g(x) = 5*x**2 + 6*x - 39. Let n(k) = -6*k**2 - 6*k + 40. Let q(i) = 4*g(i) + 3*n(i). Factor q(d).
2*(d - 3)*(d + 6)
Factor -6/7*a**3 + 0 + 0*a - 18/7*a**4 + 4/7*a**2.
-2*a**2*(3*a - 1)*(3*a + 2)/7
Let c = 9 + -5. Let k(i) be the third derivative of 2*i**2 - 1/80*i**5 + 1/32*i**c + 0*i + 1/480*i**6 - 1/24*i**3 + 0. Factor k(w).
(w - 1)**3/4
Let u(l) be the third derivative of -l**6/72 - 11*l**3/6 - 22*l**2. Let s(a) be the first derivative of u(a). Factor s(t).
-5*t**2
Let d(l) = -l + 9. Let g be d(13). Let w = g - -8. Factor 19*q - 3*q**w - 3*q**3 - 38*q + 22*q + 3*q**2.
-3*q*(q - 1)*(q + 1)**2
Let v(z) be the third derivative of z**5/40 + z**4/2 - 2*z**2 + 11. Determine o, given that v(o) = 0.
-8, 0
Let c(m) = 8*m**2 + 9 + 2*m + 5*m**3 - 16 + 3 + m**3. Let t(o) = -o**3 - o**2 - o. Let f(b) = -c(b) - 4*t(b). Factor f(h).
-2*(h - 1)*(h + 1)*(h + 2)
Let o(f) be the second derivative of f**7/2940 + f**6/420 + f**5/210 - 11*f**3/3 + 16*f. Let u(m) be the second derivative of o(m). Factor u(g).
2*g*(g + 1)*(g + 2)/7
Let i = -1/1902 - -1271/5706. Factor -i*h**4 - 16/9*h + 2/9*h**2 + 8/9 - 2/9*h**5 + 10/9*h**3.
-2*(h - 1)**3*(h + 2)**2/9
Determine l, given that -20*l**2 + 0 + 2/5*l**3 + 0*l = 0.
0, 50
Factor 90/11 + 118/11*y + 2/11*y**3 + 30/11*y**2.
2*(y + 1)*(y + 5)*(y + 9)/11
Let n be (-2)/(1*2)*(-19 - (-3828)/203). Factor n*a + 0 + 3/7*a**2.
a*(3*a + 1)/7
Let c(z) = -12*z + 1. Let u(y) = 36*y - 2. Let x(p) = 7*c(p) + 2*u(p). Let g(m) = m**2 + m + 1. Let q(d) = -3*g(d) - x(d). Let q(s) = 0. Calculate s.
1, 2
Let r(s) be the third derivative of s**7/420 - s**6/2 + 1859*s**5/60 - 295*s**4/2 + 3481*s**3/12 + 100*s**2 + 3. Suppose r(y) = 0. What is y?
1, 59
Let s = -1/3939 + 7003/1313. Solve 16/3 + 4/3*l**2 - s*l = 0.
2
Let f = 1 + 1. Let w(b) = -2*b - 4*b**f - 3 - 2*b + b**2 + 5*b. Let h(x) = -15*x**2 + 6*x - 15. Let v(k) = 5*h(k) - 24*w(k). Solve v(s) = 0 for s.
1
Let s(a) be the third derivative of -a**5/270 + a**3/27 + 3*a**2 + 4. Factor s(v).
-2*(v - 1)*(v + 1)/9
Let p(w) be the first derivative of w**2 - 4*w + 2. Let l be p(4). Factor -1 - 2*o**3 + 1 - 2*o**3 + l*o**4.
4*o**3*(o - 1)
Let g(w) be the third derivative of 1/110*w**5 - 1/330*w**6 + 0 + 0*w - 1/1155*w**7 + 1/33*w**4 - 4/33*w**3 - 6*w**2. Let g(m) = 0. What is m?
-2, 1
What is w in 0 + 11/2*w + 1/2*w**2 = 0?
-11, 0
Let t be ((-15)/12 - 27/(-36))*(2 + -7). Let -1/2*z**4 + t*z**2 + 3/2*z**3 + 0 + z - 1/2*z**5 = 0. What is z?
-1, 0, 2
Factor 3/5*u - 6/5*u**2 + 0*u**3 + 0 - 3/5*u**5 + 6/5*u**4.
-3*u*(u - 1)**3*(u + 1)/5
Let s be 16/(-10)*15/1. Let v = -17 - s. Factor v*b**2 - 15*b - 4 + b + 7*b**2 + 24*b**3.
2*(b + 1)*(3*b - 2)*(4*b + 1)
Let g = 3/56 - -541/56. Let k = 8 + 4. Solve 0 - 44/7*r**2 - 8/7*r - k*r**3 - 20/7*r**5 - g*r**4 = 0 for r.
-1, -2/5, 0
Let b(n) be the second derivative of 0*n**4 + 1/20*n**5 + 0*n**3 - 1/42*n**7 + 0*n**6 + 0*n**2 + 0 + 2*n. Determine f, given that b(f) = 0.
-1, 0, 1
Let i(b) be the second derivative of -2*b**5/5 + 23*b**4/3 - 62*b**3/3 + 20*b**2 + 6*b - 1. Factor i(q).
-4*(q - 10)*(q - 1)*(2*q - 1)
Let h(z) be the first derivative of z**6/720 - z**5/40 + 3*z**4/16 + 22*z**3/3 + 1. Let j(x) be the third derivative of h(x). Suppose j(g) = 0. What is g?
3
Let q(d) be the third derivative of d**6/40 - 9*d**5/5 + 69*d**4/8 - 17*d**3 + 24*d**2. Factor q(y).
3*(y - 34)*(y - 1)**2
Let x(m) be the first derivative of 2*m**3/21 - 10*m**2/7 + 18*m/7 + 114. Suppose x(o) = 0. What is o?
1, 9
Suppose -51*z - 45*z = 68*z - 328. Factor -9/2*p + 1/4*p**z + 81/4.
(p - 9)**2/4
Suppose 2*n - 12 = -0*n + 2*f, -27 = -n + 8*f. What is y in 0 + 15/8*y**n - 27/8*y - 3/8*y**4 - 9/8*y**2 = 0?
-1, 0, 3
Find a, given that -392/3*a - 4/3*a**2 - 9604/3 = 0.
-49
Let q = -22 - -25. Suppose -4*s + o = -13, 4*s + 7 = -q*o - 0*o. Solve -4/5*f - s*f**2 - 6/5*f**3 + 2/5*f**4 + 2/5*f**5 + 0 = 0.
-1, 0, 2
Let j be (-2)/(-8) - ((-228)/(-48))/19. Let c(s) be the first derivative of 2/27*s**3 + j*s**2 + 8 + 0*s. Find v such that c(v) = 0.
0
Let c be (4/(-8))/((-3)/12). Suppose 0 = -c*f - 4*f + 12. Factor 1/4*d**3 + 5/4*d + 1/2 + d**f.
(d + 1)**2*(d + 2)/4
Let u(m) be the third derivative of 1/8*m**4 + 3/10*m**3 - 1/200*m**6 + 0*m + 1/100*m**5 + 0 + 26*m**2. Determine x so that u(x) = 0.
-1, 3
Let w(f) be the second derivative of f**7/168 - 7*f**6/120 - 9*f**5/40 - f**4/24 + 17*f**3/24 + 9*f**2/8 - 31*f + 6. Let w(b) = 0. What is b?
-1, 1, 9
Suppose -4*n - 3*m + 46 = 0, -2*n + 10 = -m - 4*m. Let v = n + -5. Factor -v - 6*w - 2 - 3*w**2 + 4.
-3*(w + 1)**2
Suppose 0 - 3/5*r + 3/5*r**2 = 0. Calculate r.
0, 1
Let f be 6/(1 + 0)*(-26838)/(-69012). Let k = 5/2 + -2. Factor f*s**3 + 23/6*s**2 + 8/3*s + 2/3 + k*s**4.
(s + 1)**2*(s + 2)*(3*s + 2)/6
Let u(w) be the second derivative of 3/4*w**5 + 0 - 13/4*w**4 + 0*w**2 - 3*w**3 + 9*w. Solve u(i) = 0 for i.
-2/5, 0, 3
Let d(n) be the third derivative of n**5/15 - 3*n**4/2 - 44*n**3/3 + 187*n**2 + 1. Determine z so that d(z) = 0.
-2, 11
Factor 4/5*r**2 + 52/5 + 56/5*r.
4*(r + 1)*(r + 13)/5
Let m = 15 + 17. Suppose 2*b + q - m = -b, 2*q + 20 = b. Factor 5*c + b*c**2 + 9*c + 0 + 4*c**3 + 4 - 2*c.
4*(c + 1)**3
Let f(i) be the second derivative of -2*i - 1/54*i**4 + 0 + 4/27*i**3 - 1/3*i**2. Determine d so that f(d) = 0.
1, 3
Let h(s) be the third derivative of -s**8/1344 - s**7/210 + s**6/80 + 2*s**5/15 + 35*s**4/96 + s**3/2 + 267*s**2. Determine o so that h(o) = 0.
-4, -1, 3
Let x(v) be the first derivative of -45/2*v**4 - 5/6*v**6 - 65/2*v**2 - 110/3*v**3 + 2 - 15*v - 7*v**5. Factor x(m).
-5*(m + 1)**4*(m + 3)
Let v be -3*(1 - 3 - -1). Solve -41*r**4 - 9*r + 5*r**v + 18*r**4 + 3*r**2 + 24*r**4 = 0.
-3, 0, 1
Suppose 2/3*m**3 - 2/3*m + 4 + 2/3*m**4 - 14/3*m**2 = 0. What is m?
-3, -1, 1, 2
Let t(g) be the second derivative of g**6/120 - 3*g**5/160 - 5*g**4/96 - 481*g. Solve t(v) = 0.
-1, 0, 5/2
Let g(p) be the first derivative of 1/8*p**2 - 1/2*p - 1/16*p**4 - 1/20*p**5 + 1 + 1/4*p**3. Factor g(y).
-(y - 1)**2*(y + 1)*(y + 2)/4
Let o(i) be the first derivative of i**8/560 + i**7/280 - 10*i**3/3 - 4. Let q(w) be the third derivative of o(w). Suppose q(d) = 0. Calculate d.
-1, 0
Let s = 4923 + -14767/3. Factor s*a**2 + 1/6*a + 0.
a*(4*a + 1)/6
Let w(j) be the third derivative of j**6/160 + 29*j**5/80 + 195*j**4/32 - 225*j**3/8 - 23*j**2 - 2. Factor w(g).
3*(g - 1)*(g + 15)**2/4
Suppose 0*x - 2*q + 18 = 2*x, 0 = 3*q - 9. Suppose 2*o + 16 = x*o. Factor -2*i + 0*i**2 + 0*i**2 - 13*i**3 - 6*i**o - 7*i**2 - 2*i**2.
-i*(i + 1)*(2*i + 1)*(3*i + 2)
Let h = 60 + -49. Factor 1 - 4*n**2 + 11*n + 15 - h*n.
-4*(n - 2)*(n + 2)
Let r(h) be the third derivative of 0*h**3 + 10*h**2 + 0 - 1/48*h**4 + 1/240*h**6 + 0*h + 0*h**5. Suppose r(k) = 0. Calculate k.
-1, 0, 1
Let d = -39 - -39. Suppose 0 = -d*u - 7*u + 21. Factor 2/3*i**2 + 0*i**4 + 1/3*i**5 + 0 + 0*i - i**u.
i**2*(i - 1)**2*(i + 2)/3
Let l(w) = -w**2 + 4*w + 12. Let q be l(6). Let s(c) be the second derivative of q*c**2 + 0 + 2*c + 0*c**3 - 1/90*c**6 + 1/18*c**4 + 1/60*c**5. Factor s(x).
-x**2*(x - 2)*(x + 1)/3
Find d, given that 4*d**4 + 21 - 8*d**3 + 16*d - 4 - 12*d**2 - 1 = 0.
-1, 2
Suppose -18*a - 200 = -30*a - 28*a. Let q = 705/2 + -345. Suppose -35/2*m - q*m**2 - a = 0. Calculate m.
-2, -1/3
Let j(s) = 11*s**3 + 56*s**2 + 97*s + 38. Let q(p) = 34*p**3 + 168*p**2 + 290*p + 116. Let a(c) = 16*j(c) - 5*q(c). Factor a(o).
2*(o + 2)*(o + 7)*(3*o + 1)
Let m(g) be the first derivative of -g**7/70 - 7*g**6/120 - g**5/30 - 3*g**2 + 3. Let u(l) be the second derivative of m(l). Let u(b) = 0. Calculate b.
-2, -1/3, 0
Suppose -3*p + 24 = 3*b, 6*b = 5*b - 2*p + 10. Let g(a) be the third derivative of 0 + 0*a**3 + 0*a - 1/24*a**4 + 1/120*a**b + 0*a**5 - 4*a**2. Factor g(w).
w*(w - 1)*(w + 1)
Let m(h) = -8*h**2 - 5*h. Let f(y) = -y**2 - y. Let i(r) = -14*f(r) + 2*m(r). Factor i(v).
-2*v*(v - 2)
Let j(m) = 15*m**4 + 125*m**3 - 45*m**2 - 480*m. Let n(u) = 7*u**4 + 62*u**3 - 22*u**2 - 240*u. Let g(k) = 2*j(k) - 5*n(k). Find q, given that g(q) = 0.
-12, -2, 0, 2
Let y(s) = 2*s**2 - 6. Let m be y(2). Factor 18*v - 9*v - 8*v**2 - 4 + v**3 + 2*v**m.
(v - 4)*(v - 1)**2
Let u**2 + 0*u + 5/4*u**3 + 1/4*u**4 + 0 = 0. What is u?
-4, -1, 0
Find b such that -5*b - 2*b**2 - 1/4*b**5 + 4 + 11/4*b**3 + 1/2*b**4