 s = 41293/92 + 481/23. Determine q so that -25/4*q**5 - s*q**3 - 2545/4*q**2 - 308*q - 49 - 395/4*q**4 = 0.
-7, -1, -2/5
Let g be (12/(-27))/(((-8)/3)/(31 - 27)). Factor -2/9*z**3 + 4/9*z**2 + 0 + g*z.
-2*z*(z - 3)*(z + 1)/9
Let j be (-2)/7 + 180/42. Let c(u) = 11*u**2 + 28*u - 12. Let h(r) = -25*r**2 - 56*r + 24. Let s(n) = j*h(n) + 10*c(n). Let s(f) = 0. What is f?
-6, 2/5
Let n = 183097 + -1464659/8. Let 57/4 + n*u + 3/8*u**2 = 0. What is u?
-38, -1
Let d(o) = 2*o**2 + 7*o + 9. Let c be d(-7). Suppose -4*j - 50 = -c. Factor -4 - 5 - 5 + 2 + 3*f**j.
3*(f - 2)*(f + 2)
Let v(q) = -255 - 10*q**2 + 8*q**2 + 3*q + 255. Let x(l) = 15*l**2 - 25*l. Let j be 350/(-28)*(-1 + -1). Let g(a) = j*v(a) + 3*x(a). Factor g(u).
-5*u**2
Let h(x) be the third derivative of -x**6/360 + x**5/40 + 49*x**3/3 + x**2 + 24. Let g(p) be the first derivative of h(p). Determine c, given that g(c) = 0.
0, 3
Suppose -65*a**2 - 248*a**3 - 12*a**4 - 47*a + 76 + 5*a + 8*a - 38*a - 319*a**2 = 0. What is a?
-19, -1, 1/3
Let b = 173 - -289. Let k be -1 + (b/(-30))/(-7). Suppose 4/5 + k*x + 2/5*x**2 = 0. What is x?
-2, -1
Let a = 3877 + -3873. Let p(s) be the first derivative of 0*s**3 + 3/2*s**2 + 11 - 3/2*s**a + 0*s + 0*s**5 + 1/2*s**6. Factor p(f).
3*f*(f - 1)**2*(f + 1)**2
Find o, given that -1/2*o**2 + 43/2*o - 95 = 0.
5, 38
Let n = 8502 - 8499. Let w(y) be the first derivative of -2/27*y**n + 5 + 2/9*y**2 - 2/9*y. Factor w(t).
-2*(t - 1)**2/9
Suppose 0 = c - u - 8, 2*u = c + 7*u + 10. Factor 1 - c*o + 0*o + 0 - 1 + 5*o**2.
5*o*(o - 1)
Suppose 51 = 1124*k - 1107*k. Let l(p) be the third derivative of 0*p**k - 29*p**2 + 0 + 0*p + 1/12*p**4 + 1/150*p**5. Factor l(q).
2*q*(q + 5)/5
Let f(k) be the third derivative of 1/630*k**7 + 5/72*k**4 - 1/9*k**3 - 15*k - 1/360*k**6 + 3*k**2 + 0 - 1/60*k**5. Factor f(o).
(o - 1)**3*(o + 2)/3
Determine q so that -52003 - 324512 + 352*q**2 - 2443*q**2 - 3*q**3 - 365400*q - 22922 + 36125 = 0.
-348, -1
Let d be -10 + 10 + 176/1. Factor 2*t**2 + 173*t**3 - 2*t**4 - d*t**3 + 0*t**4.
-t**2*(t + 2)*(2*t - 1)
Let l(i) be the third derivative of i**5/30 - 517*i**4/12 + 5386*i**2. Factor l(v).
2*v*(v - 517)
Let k(n) = -501*n + 3536. Let o be k(7). Let f(h) be the first derivative of 0*h**5 - o - h**4 + 0*h + 0*h**3 + 0*h**2 + 2/3*h**6. Solve f(z) = 0 for z.
-1, 0, 1
Factor 2933042/15 + 2/15*c**2 + 4844/15*c.
2*(c + 1211)**2/15
Let f(m) be the third derivative of -105*m**2 - 1/5*m**5 + 0*m + 0 - 32/3*m**3 + 49/6*m**4. Factor f(s).
-4*(s - 16)*(3*s - 1)
Let d(z) be the second derivative of -z**4/6 + 47*z**3/3 + 2*z + 495. Factor d(k).
-2*k*(k - 47)
Let f be (-19)/17*-1 + (-1433)/1433. Solve 6/17*b**3 - 2/17*b**4 - 6/17*b + 4/17 - f*b**2 = 0 for b.
-1, 1, 2
Let n(u) be the second derivative of u**5/12 - 12*u**4 + 86*u**3/9 + 2*u - 173. Let n(g) = 0. Calculate g.
0, 2/5, 86
Let y(b) = -b**2 - 76*b**3 + 76*b + 23 + 2*b**2 + 9 - 6*b**2 - 16*b**4 - 7*b**2. Let o(u) = -u**4 + 2. Let x(q) = -4*o(q) + y(q). Find w such that x(w) = 0.
-6, -1, -1/3, 1
Let m(k) be the second derivative of k**4/84 - 31*k**3/7 - 188*k**2/7 + 971*k. Factor m(s).
(s - 188)*(s + 2)/7
Let -60*u - 3/4*u**3 + 12*u**2 + 96 = 0. What is u?
4, 8
Let z be 532/14 + (-10 - 16). Suppose 3 + z*i**2 - 35/2*i + 5/2*i**3 = 0. Calculate i.
-6, 1/5, 1
Let y(u) be the first derivative of 7*u + 17*u**2 - 5/3*u**3 - 54. Solve y(s) = 0 for s.
-1/5, 7
Let h be 1*(34/4 - (-219)/(-146)). Let f(n) be the first derivative of -1/16*n**4 - 1/12*n**3 + 1/8*n**2 - h + 1/4*n. Factor f(j).
-(j - 1)*(j + 1)**2/4
Let u(n) be the second derivative of -n**5/3 + 1085*n**4/24 - 45*n**3 - 22*n**2 + 141*n. Let f(q) be the first derivative of u(q). Factor f(h).
-5*(h - 54)*(4*h - 1)
Suppose -5*u - 2*s + 20 = 0, -13 = -4*u - 2*s + s. Let k be (42 - 42)/(-1*u). Let -a + k + 5/2*a**2 - a**3 = 0. What is a?
0, 1/2, 2
Let p(u) be the third derivative of 0 - 90*u**4 + 0*u + 3*u**5 + 10*u**2 - 1/24*u**6 + 1440*u**3. Factor p(d).
-5*(d - 12)**3
Let m(k) be the third derivative of 11*k**8/756 + 139*k**7/945 + 7*k**6/18 - 11*k**5/54 - 58*k**4/27 - 28*k**3/9 - 2*k**2 - 732. Let m(v) = 0. Calculate v.
-42/11, -2, -1, -1/2, 1
Let g be 28/5 - 2 - (-48)/(-80). Factor -4*u**3 - 2000 + 386*u - 2586*u + 2*u**g + 17*u**2 - 222*u**2 - 3*u**3.
-5*(u + 1)*(u + 20)**2
Let m(c) be the third derivative of -c**6/120 - 9*c**5/20 + 5*c**4 - 62*c**3/3 + 1050*c**2. Factor m(d).
-(d - 2)**2*(d + 31)
Let f(u) be the first derivative of -u**8/1512 - u**7/945 + u**6/540 + u**5/270 + u**2 - 24*u - 124. Let n(p) be the second derivative of f(p). Factor n(w).
-2*w**2*(w - 1)*(w + 1)**2/9
Suppose -15 = -3*j, 15 = -3*c - 6*j + 9*j. Let k(o) be the first derivative of 0*o - 3 + 12/5*o**5 + c*o**2 - o**4 - 4/3*o**6 + 0*o**3. Factor k(b).
-4*b**3*(b - 1)*(2*b - 1)
Let c(k) be the first derivative of k**3/7 + 15*k**2/7 - 8044. Factor c(v).
3*v*(v + 10)/7
Let b(u) be the second derivative of u**7/15120 + 7*u**6/4320 + u**5/60 - 151*u**4/12 + 127*u. Let c(j) be the third derivative of b(j). Factor c(g).
(g + 3)*(g + 4)/6
Let v(b) be the second derivative of -3*b**5/140 - 45*b**4/28 - 81*b**3/2 - 567*b**2/2 - 180*b. Factor v(h).
-3*(h + 3)*(h + 21)**2/7
Factor 156 + 141*i - 139*i - 296*i + 20*i**2 - 335*i.
(4*i - 1)*(5*i - 156)
Let 419*y - 21 + 87 + 293*y + 52 + 596 - 2*y**2 = 0. Calculate y.
-1, 357
Let x be (4/9 + 0)/(19 + (-1007)/57). Let i(c) be the first derivative of -x*c**6 - 1 + 0*c + 0*c**2 + 0*c**3 + 6/5*c**5 - c**4. Find s, given that i(s) = 0.
0, 1, 2
Let d(g) = g**2 + 24*g + 132. Let x be d(-16). Factor 15 - c**4 - 4*c**x + 17*c**2 - 40*c - 5*c**2 + 18*c**2 + 0*c**4.
-5*(c - 1)**3*(c + 3)
Let m = -113577/37 - -341471/111. Let s(z) = z**2 - 4*z. Let l be s(4). Solve -5/3*w**5 + m*w**4 + l*w**2 + 0*w + 0 - 20/3*w**3 = 0 for w.
0, 2
Let j(q) = -9*q**2 - 15198*q - 19354806. Let s(b) = -10*b**2 - 15191*b - 19354807. Let x(l) = 7*j(l) - 6*s(l). Factor x(k).
-3*(k + 2540)**2
Let h(f) = 5*f**2 + 14*f + 4. Let l = -144 - -148. Let i(d) = 70*d**2 + 195*d + 55. Let r(t) = l*i(t) - 55*h(t). Factor r(m).
5*m*(m + 2)
Let t(p) be the first derivative of -p**7/168 - p**6/72 + p**5/12 + 11*p**3/3 - 2*p + 70. Let i(x) be the third derivative of t(x). Factor i(d).
-5*d*(d - 1)*(d + 2)
Let x = 147623 + -147621. Determine q, given that -23/4*q**3 + 33/4*q**x + 5/4 - 21/4*q + 3/2*q**4 = 0.
5/6, 1
Let o(m) = 85*m**3 - 25*m**2 - 1650*m + 50. Let t(p) = -7*p**3 + 2*p**2 + 137*p - 4. Let v(c) = 2*o(c) + 25*t(c). Factor v(i).
-5*i*(i - 5)*(i + 5)
Let w = 3 - -21. Suppose -w = -2*p - 3*r, -p = 4*p - 5*r - 10. Solve -31 + 4*q + 33 + 2*q + 2*q**3 + p*q**2 = 0 for q.
-1
Suppose -3*n + 2*m + 2 = -5, -2*n + 3*m + 3 = 0. Suppose -20*z**2 - z**2 + 3*z**4 + 93*z**n + 92*z**3 - 183*z**3 + 12 + 4*z = 0. What is z?
-3, -2/3, 1, 2
Let h(a) be the third derivative of a**8/84 + 4*a**7/105 - 2*a**6/15 - 8*a**5/15 - 1610*a**2. Suppose h(u) = 0. What is u?
-2, 0, 2
Find p such that 1/2*p**4 - 18*p**2 + 15*p**3 - 93/2 - 79*p = 0.
-31, -1, 3
Let f = 6687 - 6682. Let v(l) be the third derivative of 0*l - 5/4*l**4 + 2*l**3 + 0 + 1/140*l**7 + 9/20*l**f + 16*l**2 - 7/80*l**6. Factor v(u).
3*(u - 2)**3*(u - 1)/2
Let q(o) be the first derivative of -o**2 - 4/3*o - 22 - 2/9*o**3. Factor q(b).
-2*(b + 1)*(b + 2)/3
Factor 39597*s - 16132*s - 9524*s - 3*s**2 - 10479*s - 16638*s.
-3*s*(s + 4392)
Let -114*x**3 - 27*x**2 + 0*x**5 + 29*x**4 - x**5 - 86*x**2 - 31*x**2 = 0. What is x?
-1, 0, 6, 24
Let f(r) be the second derivative of r**6/30 + 17*r**5/2 + 812*r**4 + 97216*r**3/3 + 175616*r**2 + 2463*r + 2. Factor f(a).
(a + 2)*(a + 56)**3
Let l(p) be the first derivative of 4*p**3/9 + 196*p**2/3 - 800*p/3 - 944. Determine x, given that l(x) = 0.
-100, 2
Let u(c) = -c**2 + 14*c - 3. Let v(l) = -12*l**2 + 152*l - 32. Let y = 412 - 380. Let s(g) = y*u(g) - 3*v(g). Solve s(n) = 0.
0, 2
Let d(f) be the second derivative of -f**6/20 + 3*f**5/2 - 9*f**4/2 + 23*f - 15. Let d(a) = 0. Calculate a.
0, 2, 18
Let w(b) be the second derivative of b**7/3780 - 13*b**6/1620 - 7*b**5/270 + 109*b**3/6 + 2*b - 52. Let r(x) be the second derivative of w(x). Factor r(p).
2*p*(p - 14)*(p + 1)/9
Let z(o) be the third derivative of -o**5/210 - 11*o**4/42 - 39*o**3/7 + 974*o**2. Factor z(u).
-2*(u + 9)*(u + 13)/7
Suppose -14*j + 27*j - 39