rd derivative of y(v). Factor s(o).
o*(o - 6)/3
Let x(b) be the second derivative of b**4/16 + 173*b**3/24 + 57*b**2/4 - 696*b. Factor x(k).
(k + 57)*(3*k + 2)/4
Determine a, given that -1/7*a**5 - 48/7 - 16/7*a**2 + a**4 - 12/7*a**3 + 64/7*a = 0.
-2, 2, 3
Determine f so that 562/3*f**3 + 26*f**4 - 290*f**2 - 2/3*f**5 - 5600/3*f + 3000 = 0.
-5, 2, 45
Let i = -567814 - -2839088/5. Factor 0*g**3 - 11/5*g**2 - i*g - 8/5 + 1/5*g**4.
(g - 4)*(g + 1)**2*(g + 2)/5
Let o(h) be the third derivative of 2*h**7/945 - 37*h**6/45 + 1369*h**5/15 - 105*h**2. Solve o(k) = 0.
0, 111
Let j(a) be the second derivative of -a**4/96 - 41*a**3/48 - 165*a**2/8 + 2781*a. What is t in j(t) = 0?
-30, -11
Factor 7*j - 23*j**3 + 60*j**2 + 170128*j**4 - 170127*j**4 - 80 - 3*j.
(j - 20)*(j - 2)**2*(j + 1)
Let q(o) = -16*o**2. Let l(i) = 30*i**2 - 228*i - 6498. Let z(n) = l(n) + 2*q(n). Factor z(r).
-2*(r + 57)**2
Let -11*t**4 + 3888 + 3756*t**2 - 18709*t + 79*t**4 + 25045*t + 323*t**3 + 609*t**3 - 4*t**5 = 0. What is t?
-3, -2, 27
Let x(k) be the third derivative of -k**6/780 + 6*k**5/65 + k**4/156 - 12*k**3/13 + 1149*k**2. Factor x(y).
-2*(y - 36)*(y - 1)*(y + 1)/13
Let p be (-1)/(6/((-90)/3)). Find h, given that 3*h**3 + 0*h**5 - 4*h**5 - 2*h**p + 3*h**5 + h**2 - h**4 = 0.
-1, -1/3, 0, 1
Let c(n) = -2*n**2 - 10*n + 15. Let v be c(-6). Suppose -2*r - 3*m = -4*m - 5, v*r - 8 = m. Factor z**4 + 10*z**3 - 2 - 21*z**r - 3*z**2 + 12*z**3 - 5*z.
(z - 2)*(z + 1)**3
Factor 808/3 - 1615/6*u - 1/6*u**2.
-(u - 1)*(u + 1616)/6
Let o(s) = -9*s**2 - 25*s + 26. Let m(d) = -4*d**2 - 2*d + 2. Let t(v) = 15*m(v) - 5*o(v). Let t(j) = 0. Calculate j.
4/3, 5
Factor 3/4*h**2 - 3 - 9/4*h.
3*(h - 4)*(h + 1)/4
Let t = 17389/3 - 34721/6. Let a(k) be the second derivative of -t*k**3 + 11/4*k**4 + 0 + 27/2*k**2 - 3/20*k**5 - 40*k. Factor a(v).
-3*(v - 9)*(v - 1)**2
Let k(w) = w**2 - w - 3. Let c(q) = -4*q**2 + 185*q + 8115. Let j(z) = 3*c(z) + 15*k(z). Factor j(h).
3*(h + 90)**2
Let i be (-2051)/(-586)*(-10)/(-42). Let r(w) be the second derivative of 5/12*w**4 + i*w**3 - 40*w - 1/4*w**5 - 5/2*w**2 + 0. Solve r(g) = 0.
-1, 1
Factor -8*w + w**4 - 10*w**2 - w**3 + 542634 - 542634.
w*(w - 4)*(w + 1)*(w + 2)
Let l(q) be the first derivative of -q**4/24 + q**3/2 + 4*q**2 - 224*q/3 - 1414. Let l(o) = 0. What is o?
-7, 8
Determine a, given that 7845/2 - 3924*a + 3/2*a**2 = 0.
1, 2615
Let d(w) be the first derivative of -12*w**5/25 + 299*w**4/40 + 169*w**3/10 + 39*w**2/5 - 14*w/5 + 5803. Determine g, given that d(g) = 0.
-1, -2/3, 1/8, 14
Suppose 0 = -4*a + 8*a - 696. Factor 98*k**2 - a*k**4 + 347*k**4 - 171*k**4 - 36*k**3 + 8*k**3.
2*k**2*(k - 7)**2
Let p(l) be the second derivative of -4 - 7*l**2 + 1/10*l**5 - 13/3*l**3 + 24*l - 5/6*l**4. Solve p(d) = 0.
-1, 7
Let q(b) be the second derivative of -121*b**6/120 - 607*b**5/80 - 163*b**4/8 - 125*b**3/6 - b**2 + 3889*b. Solve q(o) = 0.
-2, -1, -2/121
Factor 1/2*q**2 + 13/2*q - 150.
(q - 12)*(q + 25)/2
Let b(x) be the second derivative of -4*x**6/15 - 429*x**5/10 - 177*x**4/2 - 106*x**3/3 - 5220*x. Find u such that b(u) = 0.
-106, -1, -1/4, 0
Suppose 0 = -3*c - 2*v - 33, 5*c = 3*c - 4*v - 22. Let l = c + 15. Solve 87*q**3 - 108*q**3 + 48*q**2 - 135*q**3 - 21*q**5 + 48 - 111*q**l + 192*q = 0 for q.
-2, -2/7, 1
Let m(d) be the second derivative of -5/12*d**2 + 5/18*d**3 + 56*d - 5/72*d**4 + 0. What is a in m(a) = 0?
1
Let s(z) = -10*z**5 + 56*z**4 - 62*z**3 - 44*z**2 + 66*z - 30. Let w(j) = -j**5 + 2*j**4 + j**3 - j - 5. Let p(x) = s(x) - 6*w(x). Solve p(l) = 0.
-1, 0, 1, 2, 9
Let r(v) = -218*v**3 + 42*v**2 + 144*v + 158. Let f(w) = 10*w**3 - 1. Let g(o) = -44*f(o) - 2*r(o). Determine m, given that g(m) = 0.
-17, -2
Let q = 211487/4 + -634453/12. Solve -q - 5/6*v - 1/12*v**2 + 1/12*v**3 = 0 for v.
-2, -1, 4
Let c be 20/35 + 146/14. Suppose 6*p - 51 = -c*p. Factor -31*x**4 + 39*x**4 + 8*x**p + x**5 - 10*x - 4 - 4*x**2 + x**5.
2*(x - 1)*(x + 1)**3*(x + 2)
Let u(m) = 2*m**2 + 60*m + 86. Let n(o) = 4*o - 3. Let v(p) = -6*p + 4. Let h(r) = 4*n(r) + 3*v(r). Let x(d) = -28*h(d) + 2*u(d). Factor x(j).
4*(j + 1)*(j + 43)
Suppose -2*z - c - 10 = 0, -6*z = -5*z + c + 6. Let m be 0/(-7 - z)*(-5)/(-10). Determine s, given that -1/2*s**5 + s**4 + 0 + m*s + 1/2*s**3 - s**2 = 0.
-1, 0, 1, 2
Let z be ((-2)/2 - 1) + 1*3. Let k be 2/(-1 - z)*(5 + -8). Factor -1 + 6*r + 2*r**3 - 3 - 4*r**k.
-2*(r - 1)**2*(r + 2)
Let t = -175 + 1015. Factor -17*f**2 - 160*f**3 + 86*f**2 + 66*f**2 - t*f - 980 + 155*f**3.
-5*(f - 14)**2*(f + 1)
Suppose -3*p = x - 3, 2*x - 6*x + 4*p - 4 = 0. Let s be 36/(36/4) + 4*-1. Factor -z**2 + 1/2*z**5 + s*z - 3/2*z**3 + x + 0*z**4.
z**2*(z - 2)*(z + 1)**2/2
Let b(z) be the second derivative of z**6/10 - 9*z**5/20 - z**4 + 6*z**3 - 82*z + 11. Solve b(g) = 0 for g.
-2, 0, 2, 3
Let u(a) be the third derivative of a**7/7560 + a**6/1080 + a**5/360 - 11*a**4/6 - 34*a**2 + 1. Let b(j) be the second derivative of u(j). Factor b(n).
(n + 1)**2/3
Let g(s) be the second derivative of -s**7/945 - s**6/270 + s**4/54 + s**3/27 - 12*s**2 - 10*s + 1. Let c(l) be the first derivative of g(l). Factor c(t).
-2*(t - 1)*(t + 1)**3/9
Factor -8/9*b + 7/9 + 1/9*b**2.
(b - 7)*(b - 1)/9
Suppose 5*i + 2 - 17 = 0. Factor -j**2 - 961*j**4 - 2*j - 12*j**2 - 22*j**i + 953*j**4.
-j*(j + 2)*(2*j + 1)*(4*j + 1)
Suppose 0 = -495*l + 20943 - 1638. Factor 147/4*t**3 - l*t - 6 - 105/2*t**2.
3*(t - 2)*(7*t + 2)**2/4
Let r be (-4)/2*(4 - (1 - -4)). Factor 128*i - 2*i**2 + 80 - 6*i**2 + 8*i**2 + 12*i**r.
4*(i + 10)*(3*i + 2)
Let i be (-2123)/495*-3 - 2/(-15). Factor -35*c - 40*c**2 - 2*c**3 - i*c**3 + 3837 - 3847.
-5*(c + 1)**2*(3*c + 2)
Let t(n) = 3 - 7 + 23*n - 29*n. Let k(d) = d**2 - 24*d - 16. Let z(o) = 2*k(o) - 9*t(o). Find q such that z(q) = 0.
-2, -1
Let w(v) = -2*v**2 + 32*v + 13. Suppose 4*s - 12 - 12 = 0. Let c(n) = -n**2 + 31*n + 14. Let k(u) = s*w(u) - 7*c(u). Determine g so that k(g) = 0.
-4, -1
Let 58*l**2 + 1560 - 21*l**2 - 274*l - 17*l**2 + 88*l - 17*l**2 = 0. What is l?
10, 52
Suppose 39 = 43*f + i - 132, f - 5 = i. Solve -6/5*l**3 + 3/5*l**2 + 0*l + 3/5*l**f + 0 = 0.
0, 1
Let 4/7*b + 0 + 4/7*b**3 + 8/7*b**2 = 0. Calculate b.
-1, 0
Let j(y) = 4*y**2 - 92*y + 175. Let o be j(2). Let t(p) be the second derivative of o*p + 0*p**2 + 1/48*p**4 + 0 - 5/24*p**3. Factor t(f).
f*(f - 5)/4
Suppose 0 = 5*t - 4*i - 97, -4*t + t + i = -61. Suppose 8*b - t = 11. Find q, given that -14/5*q**b - 176/5*q - 172/5*q**2 - 1/5*q**5 - 73/5*q**3 - 64/5 = 0.
-4, -1
Let u(z) = -z**3 + 37*z**2 - 28*z - 72. Let j(v) be the second derivative of -v**5/20 + v**4/12 - 16*v. Let h(y) = 3*j(y) + u(y). Factor h(w).
-4*(w - 9)*(w - 2)*(w + 1)
Factor -2/15*a**2 + 218/15*a + 0.
-2*a*(a - 109)/15
Let y(w) be the third derivative of w**7/1050 + 19*w**6/100 + 3469*w**5/300 + 209*w**4/2 + 1210*w**3/3 - 5*w**2 - 478*w. Factor y(n).
(n + 2)**2*(n + 55)**2/5
Let b = 3/27011 - -53989/297121. What is n in -68/11*n + 578/11 + b*n**2 = 0?
17
Factor -36/7*s + 33/7*s**2 - 68/7 + 1/7*s**3.
(s - 2)*(s + 1)*(s + 34)/7
Let h(n) be the second derivative of -n**7/21 + n**6 - 83*n**5/10 + 209*n**4/6 - 80*n**3 + 100*n**2 - 4*n - 153. Let h(g) = 0. Calculate g.
1, 2, 5
Let q = 25720 + -175897/7. Let o = 592 - q. Let 3/7*u**3 - 1/7*u**2 + 0 + o*u**4 - 3/7*u = 0. What is u?
-3, -1, 0, 1
Let h(t) be the third derivative of -t**7/42 + 151*t**6/24 - 25*t**5/2 + 14152*t**2. Factor h(s).
-5*s**2*(s - 150)*(s - 1)
Let q(s) be the first derivative of -2*s**6/3 - 392*s**5/5 + 300*s**4 - 1208*s**3/3 + 202*s**2 - 372. Solve q(o) = 0 for o.
-101, 0, 1
Let h(y) be the third derivative of 0*y**3 + 0*y + 81*y**2 - 1/945*y**7 + 0*y**4 + 1/270*y**5 + 0*y**6 + 0. Let h(l) = 0. Calculate l.
-1, 0, 1
Let j(w) be the second derivative of w**7/504 + w**6/144 - w**5/4 - 5*w**4/6 - 3*w**2 + 10*w. Let x(z) be the third derivative of j(z). Factor x(v).
5*(v - 2)*(v + 3)
Let j(h) be the first derivative of -3/10*h**5 - 18*h + 21*h**2 + 3*h**4 + 59 - 23/2*h**3. Find c, given that j(c) = 0.
1, 2, 3
Let a(c) = -9*c**3 + 126*c**2 - 36*c. Let d(i) = -11*i**3 + 127*i**2 - 36*i. Let q(o) = 5*a(o) - 6*d(o). Factor q(x).
3*x*(x - 6)*(7*x - 2)
Let k(y) = 10*y + 47. Let i be k(-16). Let t = 118 + i. Factor 20*a - 3*a**2 + t*a**2 + 2*a**2 - 12*a**2.
-4*a*(2*a - 5)
Factor 4*v**2 