 - 2)/19
Let y(g) be the third derivative of -19/24*g**4 - 50*g**2 + 0 - 1/120*g**6 + 1/3*g**5 + 0*g**3 + g. Let y(o) = 0. What is o?
0, 1, 19
Let i = -128937 - -128940. Factor 2/5*w + 0 - 2/5*w**i - 1/10*w**2 + 1/10*w**4.
w*(w - 4)*(w - 1)*(w + 1)/10
Suppose -5265 = -31*c - 14*c. Suppose c = -18*t + 57*t. Factor 15/2*x**3 - 15*x**2 - t + 45/4*x + 0*x**4 - 3/4*x**5.
-3*(x - 1)**4*(x + 4)/4
Let n(f) be the second derivative of f**6/180 - 59*f**5/120 + 19*f**4/8 - 169*f**3/36 + 14*f**2/3 + 1369*f. Factor n(l).
(l - 56)*(l - 1)**3/6
Let b(a) be the second derivative of -35*a + 17/3*a**3 + 0 + 0*a**2 + 1/6*a**4. Solve b(t) = 0 for t.
-17, 0
Suppose u + a = -1, -u - 2*a = -0 + 4. Suppose 6*l - 13*l**4 + 15*l**3 + 45*l**u - 66*l**4 + 4*l + 9*l**4 = 0. Calculate l.
-1/2, -2/7, 0, 1
Suppose 10*d + 5*d + 2*d + 14*d = 0. Find b, given that -3/4*b + 0 + d*b**2 + 3/4*b**3 = 0.
-1, 0, 1
Suppose 219*u**4 + 304*u - 104*u**2 + 160 - 153*u**3 + 13*u**3 - 203*u**4 + 16*u**5 = 0. Calculate u.
-5/2, -2, -1/2, 2
Let f(a) = 2*a. Let u(x) = -x**3 - 39*x**2 - 505*x - 2197. Suppose b - 3 = n, 2 = n + b + 9. Let k(z) = n*u(z) + 5*f(z). Factor k(l).
5*(l + 13)**3
Let z(n) be the second derivative of n**6/72 + 13*n**5/3 + 1690*n**4/3 + 89*n**3/6 + n**2/2 - 60*n + 1. Let b(s) be the second derivative of z(s). Factor b(f).
5*(f + 52)**2
Suppose -8*y - 36/5 - 4/5*y**2 = 0. What is y?
-9, -1
Let d(v) be the third derivative of -5*v**6/48 + 17*v**5/24 + 195*v**4/16 + 105*v**3/4 - 4*v**2 + 342*v. Factor d(t).
-5*(t - 7)*(t + 3)*(5*t + 3)/2
Factor -36/5*w + 0 + 3/5*w**5 - 99/5*w**3 + 27/5*w**4 + 21*w**2.
3*w*(w - 1)**3*(w + 12)/5
Let p(v) be the second derivative of v**5/60 + 953*v**4/36 + 113764*v**3/9 + 113288*v**2/3 - 4244*v. Suppose p(a) = 0. Calculate a.
-476, -1
Let d(o) be the second derivative of o**5/20 - o**4/12 + o**2/2 - 7*o. Let v(s) = s**3 - 19*s**2 - 21*s - 5. Let q(l) = -4*d(l) + v(l). Factor q(u).
-3*(u + 1)**2*(u + 3)
Let i(m) be the second derivative of 0*m**3 + 0*m**2 - 7 - 7/54*m**4 - 3*m + 1/135*m**6 - 1/15*m**5. Find k, given that i(k) = 0.
-1, 0, 7
Let j = 63511 + -63511. Find m such that m - 18*m**3 + j + 19/2*m**4 + 15/2*m**2 = 0.
-2/19, 0, 1
Let k be (76/(-1140))/(8/(-24)). Let -2/5*s + 3/5 - k*s**2 = 0. What is s?
-3, 1
Let g be (-16)/((-150)/(1 + 24)). Factor -8*l**3 + 0 + 0*l - 10/3*l**4 - g*l**2.
-2*l**2*(l + 2)*(5*l + 2)/3
Let z(u) be the second derivative of u**7/42 + 53*u**6/30 + 171*u**5/4 + 2527*u**4/12 - 13718*u**3/3 - 2937*u. Factor z(p).
p*(p - 4)*(p + 19)**3
Let d = -445/132 - -207/44. Let k(h) be the first derivative of 0*h**2 + 16 + h**5 - 2*h**4 + d*h**3 - 1/6*h**6 + 0*h. Find t such that k(t) = 0.
0, 1, 2
Suppose 0 = 3*v + 4*l - 5914, -4*v - 3944 = -6*v - 4*l. Let r = v - 17728/9. Suppose 14/9*d**2 + 10/9 - r*d**3 - 22/9*d = 0. Calculate d.
1, 5
Let g be ((-15 - 0) + 12909/1655)/(14/(-10)). Let u(d) be the second derivative of 4/7*d**3 + 1/42*d**4 + 0 + 32*d + g*d**2. Solve u(z) = 0.
-6
Factor 88/15*s + 86/15*s**2 + 0 - 2/15*s**3.
-2*s*(s - 44)*(s + 1)/15
Let v(l) = -3*l**4 - 2*l**3 + l**2 - 1. Let x(y) = 24*y**4 + 57*y**3 - 135*y**2 - 108*y + 657. Let b(j) = 9*v(j) + x(j). Factor b(n).
-3*(n - 6)**2*(n - 3)*(n + 2)
Suppose 0 = -3*j + 3*t - 9, -3*j - 4*t + 11 = -3*t. Solve 1752*u**3 - 1744*u**3 + 0*u**4 + j*u**4 = 0.
-4, 0
Factor -7346/7*o**2 - 7072/7*o - 2726/7*o**3 - 142/7*o**4 - 2/7*o**5 - 2312/7.
-2*(o + 1)**3*(o + 34)**2/7
Suppose 3*j = 4*j + 5*k - 27, j + 3 = k. Suppose 0 = -j*w - 18*w + 80. Let 0 - 20/7*i**3 + 4/7*i**w - 16/7*i + 32/7*i**2 = 0. Calculate i.
0, 1, 2
Let r(c) be the third derivative of 1/1680*c**8 + 1/60*c**6 + 2*c + 0*c**3 + 0*c**4 + 11/1050*c**7 + 0*c**5 - 3*c**2 + 0. Solve r(l) = 0 for l.
-10, -1, 0
Factor -80/11*k**2 - 3072/11 - 2/11*k**3 - 896/11*k.
-2*(k + 8)**2*(k + 24)/11
Let q be (-32390)/(-2880) - 11 - 4/(-18). Let a = q - -215/224. Factor 24/7*d - 8/7 - a*d**2.
-2*(d - 2)*(5*d - 2)/7
Let n(v) = 2*v**2 + 2*v - 1. Let g(a) = -a**4 + 22*a**3 + 71*a**2 - 98. Let l(x) = 3*g(x) + 6*n(x). Solve l(y) = 0 for y.
-2, 1, 25
Suppose 24 = -b - 2*q + 18, 5*q = -5*b - 5. Let a(w) = w**3 - 9*w**2 + 16*w - 14. Let k be a(7). Factor 0 + 4/3*h**2 + 8/3*h**4 + b*h**3 + k*h.
4*h**2*(h + 1)*(2*h + 1)/3
Let f(l) be the second derivative of -l**4/54 + l**2 - 1584*l. Suppose f(w) = 0. Calculate w.
-3, 3
Factor 200*b - 5*b**2 + 53 - 92 - 1961.
-5*(b - 20)**2
Suppose 19795/4*y - 6845/2 - 5/4*y**4 - 355/4*y**3 - 5745/4*y**2 = 0. Calculate y.
-37, 1, 2
Let z(h) = 957*h**2 + 1668*h - 15. Let n(o) = -137*o**2 - 238*o + 2. Let g(i) = 15*n(i) + 2*z(i). Solve g(q) = 0 for q.
-78/47, 0
Determine a so that -6/7*a**2 + 0 + 25/7*a = 0.
0, 25/6
Let v(h) be the second derivative of -3/4*h**3 + 0 - 344*h + 23/10*h**2 - 1/120*h**4. Factor v(g).
-(g - 1)*(g + 46)/10
Suppose -2*i - 12*i - 3*i = 0. Factor i - 6*x + 5*x**2 + 6*x**3 + 11*x - 5 - 11*x**3.
-5*(x - 1)**2*(x + 1)
Let t(f) = 8 + 6*f**2 + 30*f**4 - 11*f**4 - 34*f + 36 - 20*f**4 + 8*f**3. Let w(v) = -v**3 + v**2 - v - 2. Let b(z) = 5*t(z) + 30*w(z). Factor b(i).
-5*(i - 2)**3*(i + 4)
Let x(l) = -3*l**2 - 268*l + 4227. Let v be x(-103). Factor 0*u + 4/3*u**v + 0 - 4*u**3 + 0*u**2 + 1/3*u**5.
u**3*(u - 2)*(u + 6)/3
Let i(o) be the second derivative of o**6/10 + 48*o**5/5 + 1223*o**4/4 + 2884*o**3 - 10584*o**2 + o - 16. Let i(h) = 0. What is h?
-28, -9, 1
Let p(j) be the third derivative of -j**8/60480 - j**7/3780 + j**5/60 + j**3/6 - 4*j**2. Let u(o) be the third derivative of p(o). Let u(b) = 0. What is b?
-4, 0
Let w(g) = -5*g**2 + 6*g - 3. Suppose 17*y - 12*y = 10. Let v(m) = 5*m - 2*m - 1 - 2*m**y + 0*m. Let t(q) = -14*v(q) + 6*w(q). Suppose t(k) = 0. Calculate k.
-2, -1
Find i such that 0*i**5 - 4*i**5 - 5946391*i**4 - 4*i + 72*i**3 + 5946393*i**4 + 92*i**2 - 30 = 0.
-3, -1, 1/2, 5
Suppose 7 = 3*j - g, -j = 3*g - 107 + 108. Factor 200/13 + 132/13*f**j + 18/13*f**3 + 290/13*f.
2*(f + 4)*(3*f + 5)**2/13
Let c(n) be the first derivative of -15 + 0*n - 3/8*n**4 - 3*n**2 + 2*n**3. Solve c(x) = 0.
0, 2
Let x(a) be the second derivative of -27*a + 0 + 29/10*a**5 + 4/15*a**6 + 31/6*a**4 + 0*a**2 + 2*a**3. Determine g so that x(g) = 0.
-6, -1, -1/4, 0
Let y(r) be the first derivative of -7*r**6/15 - 136*r**5/25 - 71*r**4/10 + 388*r**3/15 - 48*r**2/5 + 4666. What is z in y(z) = 0?
-8, -3, 0, 2/7, 1
Let k(z) = 7*z**2 + 387*z + 160. Let q be k(-55). Determine t, given that 20/3*t + 2/9*t**2 + q = 0.
-15
Let x(b) be the second derivative of b**8/11200 + b**7/12600 - b**6/1800 - 19*b**4/12 + b**2/2 + 112*b. Let z(j) be the third derivative of x(j). Factor z(c).
c*(c + 1)*(3*c - 2)/5
Solve -864*u**2 - 729 - 256/9*u**4 + 256*u**3 + 1296*u = 0.
9/4
Let p(k) be the second derivative of k**7/120 - k**6/80 - k**5/30 + k**4/16 + k**3/24 + 17*k**2/2 + 42*k. Let s(c) be the first derivative of p(c). Factor s(z).
(z - 1)**2*(z + 1)*(7*z + 1)/4
Find l such that 0 - 42*l**2 - 3*l**4 - 47/2*l**3 - 22*l + 1/2*l**5 = 0.
-2, -1, 0, 11
Let n(p) = -p**2 - 12*p - 7. Let o(j) = -2*j**2 - 19*j - 11. Let c(d) = 8*n(d) - 5*o(d). Let z(i) = 44*i**2 - 8*i - 4. Let u(f) = -24*c(f) + z(f). Factor u(h).
-4*(h - 5)*(h + 1)
Let f be (-1)/((28/(-6))/(-1) + -5). Factor 11*w**2 + 3*w**4 - 8*w**3 + 13*w**2 + 2*w**3 - 8*w**f - 12*w - w**3.
3*w*(w - 2)**2*(w - 1)
Suppose -2*i - 96 = -2*b, 2*b - 98 = -23*i + 24*i. Suppose 29*g - b + 50 = 0. Factor 0 - 1/3*v**2 + g*v + 1/2*v**3.
v**2*(3*v - 2)/6
Let x = 635 + -630. Let m(s) be the second derivative of 11*s - 2/15*s**6 + 0*s**2 + 0*s**3 + 0 + 0*s**x + 0*s**4. Factor m(z).
-4*z**4
Let v(n) be the third derivative of -n**7/189 - 11*n**6/540 + 7*n**5/90 + n**4/4 - n**2 + 297*n + 4. Determine p so that v(p) = 0.
-3, -1, 0, 9/5
What is u in -32 - 2/7*u**2 + 46/7*u = 0?
7, 16
Let a(z) be the second derivative of z**7/168 - 19*z**6/40 + 111*z**5/80 - 55*z**4/48 - 562*z + 3. Factor a(l).
l**2*(l - 55)*(l - 1)**2/4
Suppose -3*l = -2*d + 26, 80*l - 76*l = 2*d - 24. Let t(h) be the first derivative of 4/3*h**3 - 8 - 28*h**2 - d*h + 7/2*h**4. Solve t(c) = 0 for c.
-2, -2/7, 2
Let j = -251 - -251. Suppose j = -2*u - 5*c + 29, c + 6 = 5*u - 53. Solve 16/5 + u*r**2 - 72/5*r + 10*r**3 = 0 for r.
-2, 2/5
Let k be 0 + 5 + 9275/371. Let q(o) be the first derivative of -2/45*o**5 - 1/9*o**2 + 0*o - 2/9