*3 + 0*y = 0. Calculate y.
-4/7, 0, 1
Suppose 4*h = -4*h. Let r(z) be the third derivative of 0*z - 1/120*z**6 + 0 + h*z**3 + 1/60*z**5 + 0*z**4 + z**2. Determine s, given that r(s) = 0.
0, 1
Factor 2*m + m + 66*m**2 - 69*m**2.
-3*m*(m - 1)
Let t be 0/(-21) + 1 + -21. Let x be (-1 - -1) + (-5)/t. Factor -1/4*h + 0 - x*h**2.
-h*(h + 1)/4
Let v(y) be the second derivative of 0 - 3/70*y**5 - 5/21*y**4 - 2/7*y**2 + 12*y - 3/7*y**3. Factor v(f).
-2*(f + 1)*(f + 2)*(3*f + 1)/7
Let v = -14 - -16. Factor -5 + 5*y**2 - 1 + 4*y**3 + 6 + y**4 + v*y.
y*(y + 1)**2*(y + 2)
Factor -2/3*f**5 - 28/3*f**4 - 46*f**3 - 200/3*f + 0 - 280/3*f**2.
-2*f*(f + 2)**2*(f + 5)**2/3
Let j(h) be the second derivative of -h**8/1680 + h**6/150 + 33*h**2/2 - 2*h + 2. Let l(i) be the first derivative of j(i). Factor l(y).
-y**3*(y - 2)*(y + 2)/5
Factor 71*n + 28*n**2 - 2*n - 41*n + 8 + 8*n**3.
4*(n + 1)*(n + 2)*(2*n + 1)
Let s(d) = -d**3 - 11*d**2 - d - 6. Let j(i) = -i**3 + i - 11. Let z be j(0). Let p be s(z). Factor 24*v**4 - v**2 + 10*v**p + 4*v**2 + v**2 + 18*v**3.
2*v**2*(v + 1)**2*(5*v + 2)
Suppose -2*h = -14, 2*h - 33 + 16 = -l. Find c, given that 6/11*c**2 + 4/11*c**l - 2/11*c**4 - 8/11 - 8/11*c = 0.
-1, 2
Let i = 4464 - 4460. Solve -6/5*r**i + 2/5*r**3 + 4/5*r**2 + 0 + 0*r = 0 for r.
-2/3, 0, 1
Suppose 2*g + 5*x - 6 = -3, g = -2*x + 2. Factor 3*p**3 + 0*p + g - 3 - 9*p**2 + 8 - 3*p.
3*(p - 3)*(p - 1)*(p + 1)
Let x(k) be the second derivative of -2*k**5/5 - 3*k**4 - 14*k**3/3 + 12*k**2 + 3*k + 14. Determine f so that x(f) = 0.
-3, -2, 1/2
Factor 2/7*m**3 + 1350/7*m + 6750/7 + 90/7*m**2.
2*(m + 15)**3/7
Solve 6*x**4 - 49*x**3 - 16*x**3 + 66*x**2 + 8 + 32*x**3 + 10 - 57*x = 0 for x.
1, 3/2, 2
Let o(a) be the first derivative of 1/5*a**5 + 9 + 1/2*a**2 + 3/4*a**4 + 0*a + a**3. Factor o(v).
v*(v + 1)**3
Let x(g) be the first derivative of 5*g**6/36 + 7*g**5/3 + 55*g**4/8 - 280*g**3/9 + 80*g**2/3 + 75. Suppose x(v) = 0. What is v?
-8, 0, 1
Suppose 5*k - 20 = -4*f, f - 8 + 4 = -k. Factor 4/9 + 2/9*o**3 - 2/3*o**2 + 2/9*o**k - 2/9*o.
2*(o - 1)**2*(o + 1)*(o + 2)/9
Suppose 0*n = 4*n - 2*n. Suppose 4*a - 9*a = n. Factor 4/3*w + 2/3*w**5 - 14/3*w**2 - 10/3*w**4 + 6*w**3 + a.
2*w*(w - 2)*(w - 1)**3/3
Let o(h) be the second derivative of -5/6*h**3 + 0 + 15*h**2 - 5/12*h**4 - 15*h. What is q in o(q) = 0?
-3, 2
Let u(h) be the third derivative of h**8/264 + 16*h**7/1155 - 2*h**6/55 - 32*h**5/165 - 4*h**4/33 + 3*h**2 - 13. Find z, given that u(z) = 0.
-2, -2/7, 0, 2
Let p = 31286/815745 - 2/7769. Let v(u) be the second derivative of p*u**6 + 6*u + 0*u**2 + 1/10*u**5 - 1/21*u**3 + 1/21*u**4 + 0. Solve v(f) = 0.
-1, 0, 1/4
Let l(x) = -3 + 1 + 8*x**2 - 5 - 23*x. Let w(q) = -4*q**2 + 11*q + 3. Let v(f) = -3*l(f) - 7*w(f). Factor v(g).
4*g*(g - 2)
Suppose z + 5*v + 18 = 0, 3*v = -5*z - 0*v - 2. Let m(n) be the first derivative of -n + 1 + n**4 - 1/5*n**5 + z*n**2 - 2*n**3. Solve m(h) = 0 for h.
1
Suppose -16 = -5*x + f, 3*x - 23 = -4*f + 5. Let v be ((-42)/12 - -5)/(-1 + x). Factor 5/2*a**3 + 0 - 1/2*a - 3/2*a**4 - v*a**2.
-a*(a - 1)**2*(3*a + 1)/2
Let a(h) be the first derivative of -h**8/6720 + h**7/672 - h**6/360 + 19*h**3/3 - 9. Let d(f) be the third derivative of a(f). Solve d(z) = 0.
0, 1, 4
Let p(w) be the first derivative of -1/3*w**6 + 0*w - 2*w**2 + 2*w**5 - 9/2*w**4 + 14/3*w**3 + 2. Factor p(f).
-2*f*(f - 2)*(f - 1)**3
Let r = -1249 - -1252. Let k(x) be the second derivative of 2/15*x**3 + 0 + 3/5*x**2 - r*x - 1/30*x**4. Solve k(m) = 0.
-1, 3
Factor -350*k**2 - 555*k - 318*k**3 + 859*k**3 - 416*k**3 - 180.
5*(k - 4)*(5*k + 3)**2
Let o(c) = -c**3 + 89*c**2 - c + 89. Let f be o(89). Factor -2/11*n**2 - 8/11*n + f.
-2*n*(n + 4)/11
Let w(y) be the third derivative of y**6/24 + 7*y**5/12 + 10*y**4/3 + 10*y**3 - 12*y**2. Determine r, given that w(r) = 0.
-3, -2
Suppose 15*p - p**2 + 43 - 31 + 6*p**2 - 2*p**2 = 0. What is p?
-4, -1
Let p be 144/(-810)*(-5)/4. Let s(i) be the first derivative of p*i**3 + 13 - 8/3*i + i**2. Factor s(m).
2*(m - 1)*(m + 4)/3
Let z = -520 - -2604/5. Let l(i) be the first derivative of z*i**5 - 4 + 4/3*i**3 + 3/2*i**4 + 1/6*i**6 + 1/2*i**2 + 0*i. Factor l(u).
u*(u + 1)**4
Let q(r) be the second derivative of 0 - 16/3*r**3 + 16/3*r**4 - 6*r**2 - 20*r. What is b in q(b) = 0?
-1/4, 3/4
Let h(c) = 15*c**2 - 12*c - 6. Let d(z) = 17*z - 6*z - 16*z**2 + 7 + 2*z. Let a = 949 + -952. Let i(k) = a*d(k) - 4*h(k). Find u, given that i(u) = 0.
-1/4, 1
Suppose 43 - 25 = -6*i. Let r be (-42)/147*14/i. Factor -1/3*z**5 + 2/3*z**2 + 2/3 - 4/3*z**3 + 5/3*z - r*z**4.
-(z - 1)*(z + 1)**3*(z + 2)/3
Let u(a) be the first derivative of -2*a**4/3 + 14*a**3/3 - 7*a**2 + 8*a/3 - 87. Factor u(i).
-2*(i - 4)*(i - 1)*(4*i - 1)/3
Factor -62*f + 8*f + 31 + 6*f - f**2 + 15*f + 3*f.
-(f - 1)*(f + 31)
Let q(o) be the first derivative of o**6/48 - o**5/5 + 21*o**4/32 - 3*o**3/4 - 117. Factor q(h).
h**2*(h - 3)**2*(h - 2)/8
Suppose 3*m - 7*m = 0. Factor a**2 + m*a**2 + a**2 + 12*a + 18.
2*(a + 3)**2
Let f = 86258/9 + -9584. Factor 1/9*b**5 + f*b**2 - 7/9*b - 5/9*b**4 + 1/3 + 2/3*b**3.
(b - 3)*(b - 1)**3*(b + 1)/9
Suppose 4*g - 717 = -717. Let u(x) be the third derivative of 1/2*x**4 - 4*x**2 + 2*x**3 + 0*x + 1/20*x**5 + g. Determine v so that u(v) = 0.
-2
Let s be (27/15)/((-720)/725 - -1). Let n = 1053/4 - s. Suppose 9/4*z**3 + n*z**2 + 3/4*z + 3/4*z**4 + 0 = 0. What is z?
-1, 0
Let c = 20187 + -403917/20. Let n = c + 37/4. Factor 1/5*h**2 + 1/5*h - n.
(h - 1)*(h + 2)/5
Factor 0 + 2/9*g**3 + 44/3*g**2 + 242*g.
2*g*(g + 33)**2/9
Let g(l) = -l**2 + 21*l - 37. Let v be g(19). Factor -v + 5*y - 3*y + 1 + 4 - 2*y**2.
-2*(y - 2)*(y + 1)
Let s(u) be the third derivative of -u**8/784 - 3*u**7/245 + u**6/14 + 3*u**5/14 - 19*u**4/56 - 12*u**3/7 - 2*u**2 - 17. Determine y so that s(y) = 0.
-8, -1, 1, 3
Let b(j) be the second derivative of -4*j**7/231 - j**6/165 + 2*j**5/11 + 5*j**4/66 - 16*j**3/33 - 4*j**2/11 + 48*j. Suppose b(o) = 0. What is o?
-2, -1, -1/4, 1, 2
Let u be 3816/39*(-10)/3. Let w = -326 - u. Let -4/13 + 6/13*t**2 - 2/13*t**4 + w*t - 2/13*t**3 = 0. What is t?
-2, -1, 1
Let d(s) be the second derivative of 0*s**2 + 0*s**3 - 1/10*s**5 + 1/3*s**4 + 0 + 2*s. Let d(j) = 0. Calculate j.
0, 2
Factor 2*b**3 + 8*b**3 + 26*b - 1253 + 32*b**2 + 1257.
2*(b + 1)*(b + 2)*(5*b + 1)
Let f be (-6 - -13) + (-4 - 0). Suppose f*c - 32 = -5*c. Factor -l + 0*l**3 - 1/2*l**c + 3/2*l**2 + 0.
-l*(l - 1)**2*(l + 2)/2
Let c(v) = 15*v**2 + v - 1. Let w be c(1). Let n be 20/(-30) - (-13)/w. Factor -4/5*i**2 + i - n.
-(i - 1)*(4*i - 1)/5
Let u(o) = 11*o**3 - 322*o**2 + 3445*o - 3179. Let m(l) = -5*l**3 + 157*l**2 - 1723*l + 1589. Let k(t) = 5*m(t) + 2*u(t). Solve k(w) = 0.
1, 23
Let w(u) be the first derivative of -u**6/6 - 103*u**5/5 - 650*u**4 + 2704*u**3/3 + 147. Factor w(p).
-p**2*(p - 1)*(p + 52)**2
Let l(g) be the second derivative of g**6/660 - g**5/330 - 2*g**2 + 21*g. Let c(z) be the first derivative of l(z). Factor c(q).
2*q**2*(q - 1)/11
Let a be (-35)/6 + 21*14/49. Let d = -91 - -547/6. Let -5/3*z**3 - 5/3*z**2 - 5/6*z**4 - d - 5/6*z - a*z**5 = 0. Calculate z.
-1
Let o(m) = -2*m**3 - 9*m**2 - 4*m - 2. Let s be o(-4). Let f be (0 + (-102)/(-75) + s)*-10. Factor -192/5*b - 176/5*b**2 + 336/5*b**3 - 98/5*b**4 - f.
-2*(b - 2)**2*(7*b + 2)**2/5
Let i(u) be the third derivative of 0*u + 18*u**2 + 0 + 1/6*u**3 - 1/60*u**5 + 0*u**4. Determine j so that i(j) = 0.
-1, 1
Factor -33/5*o**2 + 216/5*o + 1/5*o**3 + 972/5.
(o - 18)**2*(o + 3)/5
Let j(f) be the first derivative of f**5 - 5*f**4/2 - 25*f**3 - 36. Determine a, given that j(a) = 0.
-3, 0, 5
Let q(a) be the first derivative of 2*a**3/33 + 12*a**2/11 + 72*a/11 + 18. Factor q(m).
2*(m + 6)**2/11
Factor 76/5*n**2 + 2/5*n**3 + 128*n - 320.
2*(n - 2)*(n + 20)**2/5
Let n(y) = -5*y**3 - 395*y**2 + 2625*y - 825. Let m(p) = p**3 + 2*p - 1. Let a(b) = 20*m(b) + n(b). Solve a(r) = 0.
1/3, 13
Let c(s) = 6*s**2 - 24*s + 26. Let n(a) = -32*a**2 + 119*a - 121. Let p(z) = 22*c(z) + 4*n(z). Factor p(h).
4*(h - 11)*(h - 2)
Solve 7 - 241*k**3 + 4 - 3 - 6*k**2 + 243*k**3 = 0.
-1, 2
Let a(i) be the third derivative of 1/4*i**5 - 1/112*i**8 + 0*i + 1/4*i**4 + 0 + 3/40*i**6 - 1/70*i**7 + 0*i**3 + 41*i**2. Factor a(c).
-3*c*(c - 2)*(c + 1)**3
Let s be (-415)/55 + 4 + (11 - 2) -