- 32 + 42*p. Factor n(h).
(h - 2)**2*(h + 21)/2
Factor -64 + 5*c**4 - 9*c**4 - 27*c**3 + c**5 - 5*c**4 - 29*c**3 - 227*c**2 - 41*c**3 - 204*c.
(c - 16)*(c + 1)**3*(c + 4)
Let z(a) be the first derivative of -2*a**5/25 + 703*a**4/10 + 282*a**3 + 2117*a**2/5 + 1412*a/5 - 4191. Factor z(i).
-2*(i - 706)*(i + 1)**3/5
Suppose 20*z = j + 15*z + 22, 2*z - 25 = -5*j. Suppose -2685*v**5 - 5*v**j - 6*v + 21*v**2 + 2682*v**5 - 22*v**3 + 15*v**4 = 0. Calculate v.
0, 1, 2
Let s(g) be the first derivative of 36*g**3 - 2 - 4800*g - 120*g**2 + 10 + 10 - 37*g**3. Find d, given that s(d) = 0.
-40
Find w, given that 326*w**4 - 14*w**5 + 35*w**3 - 1247*w**3 - 304*w + 4795*w**2 - 3411*w**2 = 0.
0, 2/7, 2, 19
Let l(u) be the first derivative of u**5 - 3615*u**4/2 + 2613640*u**3/3 + 3615*u**2 - 2613645*u - 2777. Factor l(k).
5*(k - 723)**2*(k - 1)*(k + 1)
Let g(m) be the first derivative of -3/2*m**4 + 2/5*m**5 - 4/3*m**3 - 16*m + 12*m**2 - 51. Find l, given that g(l) = 0.
-2, 1, 2
Let o(w) be the second derivative of -w**4/48 - 401*w**3/24 + 201*w**2/4 + 198*w + 2. Factor o(u).
-(u - 1)*(u + 402)/4
Let q(u) = -u - 1. Let h(b) = 4*b + 8. Let t(s) = h(s) + 5*q(s). Let n be t(0). Factor -8*o - 9*o**2 + 2*o**4 + 2*o**5 + 31*o**2 - 17*o**n - o**3.
2*o*(o - 1)**3*(o + 4)
Let k be (-310)/(-12) - 28/280. Let s = 458/15 - k. Suppose 0 - s*a + 414/5*a**3 - 12*a**2 + 987/5*a**4 - 588/5*a**5 = 0. Calculate a.
-2/7, 0, 1/4, 2
Let j be -10 + 1 - ((-16848)/(-189))/39*-4. Factor 0 + 0*f + 6*f**2 + j*f**3.
f**2*(f + 42)/7
Let g = 4625/147 + -3938/49. Let b = g - -151/3. Determine x so that 16/7*x - 2/7*x**5 + 8/7*x**2 + 0 - 12/7*x**3 - b*x**4 = 0.
-2, 0, 1
Factor 26*k - 169 - 58*k**2 + 10*k**2 + 25*k**2 + 22*k**2.
-(k - 13)**2
Let k(h) be the third derivative of 1/720*h**6 - 1/18*h**3 - 1/90*h**5 + 6*h**2 + 2*h + 5/144*h**4 + 0. Factor k(q).
(q - 2)*(q - 1)**2/6
Suppose -2*u = -2*l + 6*l + 1494, -5*l - 3*u = 1869. Let c = l - -2608/7. Determine m so that 0 + 8/7*m - c*m**2 = 0.
0, 2
Let a(g) = 2*g**2 + 5*g. Suppose -13 = -3*m + 5*h, 15 = -3*m - 2*h - 7. Let r be a(m). Suppose 5*i**2 + r + 40*i + 72 - 4 = 0. What is i?
-4
Let b be ((-88)/(-56) - 2) + 74/(-7). Let c(a) = -2 - 6*a - 20*a**2 + 6*a. Let h(p) = -7*p**2 - 1. Let v(q) = b*h(q) + 4*c(q). Let v(m) = 0. Calculate m.
-1, 1
Let y be 150/360*(-256)/(-40). Solve 4/3*k**3 - y + 8/3*k**2 - 4/3*k = 0 for k.
-2, -1, 1
Let n(x) be the second derivative of 81*x**5/10 + x**4/6 + 131*x. Factor n(s).
2*s**2*(81*s + 1)
Let o(x) be the second derivative of -x**4/28 + 703*x**3/14 + 2115*x**2/7 + 6477*x - 2. Factor o(q).
-3*(q - 705)*(q + 2)/7
Let k(c) be the first derivative of c**6/4 + 13*c**5/30 - c**4/6 + 3*c**2/2 - c + 45. Let v(d) be the second derivative of k(d). Factor v(p).
2*p*(p + 1)*(15*p - 2)
Let r = 78 - 73. Factor -3625*a**2 + a + 3624*a**2 + 5 - r*a.
-(a - 1)*(a + 5)
Let n(z) = z**3 + 35*z**2 + 234*z + 3. Let d be n(-9). Factor 6/11*m**4 + 2400/11*m + 0 + 246/11*m**d + 240*m**2.
6*m*(m + 1)*(m + 20)**2/11
Let r(t) be the second derivative of -3*t**5/80 + 15*t**4/4 + 189*t**3/8 - 776*t + 2. Find n, given that r(n) = 0.
-3, 0, 63
Find p such that -101*p**2 - 9/2*p**5 - 59/2*p**3 + 14*p + 36 + 45*p**4 = 0.
-1, -2/3, 2/3, 2, 9
Let p(q) be the second derivative of 50*q + 0 + 2/3*q**4 - 2/3*q**3 - 4*q**2 + 1/5*q**5. Suppose p(d) = 0. Calculate d.
-2, -1, 1
Let l(y) be the second derivative of -3*y**5/4 + 41*y**4/2 - 166*y**3 + 180*y**2 + 133*y + 3. Find q such that l(q) = 0.
2/5, 6, 10
Suppose 45 = l + 3*d, -4*l + 1295*d = 1298*d - 45. Factor 2/9*x**2 + l - 4/9*x - 2/9*x**4 + 4/9*x**3.
-2*x*(x - 2)*(x - 1)*(x + 1)/9
Let x(h) be the first derivative of h**6/36 + 4*h**5/15 + 5*h**4/8 - 2*h**3/9 - 5*h**2/3 + 2284. Factor x(q).
q*(q - 1)*(q + 2)**2*(q + 5)/6
Let z(h) be the first derivative of -h**3/27 + 61*h**2/18 + 62*h/9 - 1364. Factor z(v).
-(v - 62)*(v + 1)/9
Let c be (-20 - -14 - 4) + 12. Let -12/5 - 1/5*k**c - 7/5*k = 0. What is k?
-4, -3
Suppose 0*j - 7*j - 14 = 0. Let c(p) = -5*p**2 - 96*p - 165. Let f(b) = -2*b**2 - 32*b - 54. Let m(z) = j*c(z) + 7*f(z). Find g such that m(g) = 0.
-6, -2
Let d be (-40)/((-1320)/(-800) + -2). Find z, given that 2/7*z**2 + d - 80/7*z = 0.
20
Factor 2/15*r**2 + 872/15*r + 1736/15.
2*(r + 2)*(r + 434)/15
Let c(i) be the third derivative of -11*i**4/24 - 69*i**3/2 + 214*i**2. Let w be c(-19). Factor -1/3*z**3 + 1/3*z + 1/3 - 1/3*z**w.
-(z - 1)*(z + 1)**2/3
Let u(p) be the first derivative of -p**5/20 - p**4 + 55*p**3/12 - 19*p**2/4 - 10616. Factor u(q).
-q*(q - 2)*(q - 1)*(q + 19)/4
Let a(s) be the second derivative of s**5/10 + 27*s**4/2 + 53*s**3 + 79*s**2 + 546*s. Factor a(h).
2*(h + 1)**2*(h + 79)
Let u(r) be the third derivative of -1/147*r**7 + 2/105*r**6 + 3*r**2 + 0*r + 0*r**4 - 2/105*r**5 + 0*r**3 - 3 + 1/1176*r**8. Suppose u(s) = 0. Calculate s.
0, 1, 2
Let c(h) be the third derivative of 5*h**8/336 + 5*h**7/21 - 11*h**6/24 - 23*h**5/3 + 215*h**4/6 - 200*h**3/3 + 71*h**2 + 6. Let c(p) = 0. Calculate p.
-10, -4, 1, 2
Let z(w) be the second derivative of -w**5/70 - 61*w**4/42 + 6*w**3 - 1575*w. Find d such that z(d) = 0.
-63, 0, 2
Let j(c) = -c**4 - c**3 - 4*c**2 - c - 4. Let u(s) = 32*s**4 + 168*s**3 + 456*s**2 - 1252*s + 112. Let k(t) = -28*j(t) - u(t). Let k(f) = 0. Calculate f.
-32, -5, 0, 2
Let k(j) = -4*j**2 - 26*j - 3. Let d be k(-2). Determine i, given that -8*i + 7 - 2 + d*i + 20*i**2 = 0.
-1, -1/4
Let o(z) be the first derivative of -5*z**6/6 + 29*z**5 + 1785*z**4/4 + 6235*z**3/3 + 3860*z**2 + 3120*z - 758. Determine u so that o(u) = 0.
-4, -1, 39
Let v(t) be the first derivative of 6*t**6/5 + 64*t**5/25 - 71*t**4 - 376*t**3/5 + 1472*t**2 - 640*t - 348. Determine p so that v(p) = 0.
-5, 2/9, 4
Let s be ((-104)/(-16) + (-9 - -3))/((-1)/(-6)). Let f(d) be the third derivative of 0 + 1/19*d**4 - 9*d**2 - 12/19*d**s - 1/570*d**5 + 0*d. Factor f(o).
-2*(o - 6)**2/19
Let p(f) = f**5 - f**4 + f. Let a(j) = 3*j**5 + 11*j**4 - 48*j**3 + 68*j**2 - 41*j + 12. Let y(o) = -2*a(o) + 10*p(o). Factor y(i).
4*(i - 3)*(i - 2)*(i - 1)**3
Find m, given that 290*m + 728/5*m**2 + 2/5*m**3 + 724/5 = 0.
-362, -1
Let y = 5206 - 72883/14. Let n(w) be the second derivative of 0*w**3 + 0 - 1/84*w**4 + y*w**2 + 12*w. Suppose n(m) = 0. Calculate m.
-1, 1
Find g such that -130*g**3 - 698*g**2 + 2178*g - 1348*g**2 + 400*g**4 - 205*g**4 - 197*g**4 = 0.
-33, 0, 1
Let u(r) be the second derivative of r**5/50 - r**4/3 - 81*r**3/5 + 252*r**2/5 + 3407*r. Factor u(l).
2*(l - 21)*(l - 1)*(l + 12)/5
Suppose -86 = -27*l - 16*l. Factor 30 + 5*j**2 - 2*j**l - 5 - 7 + 55*j.
(j + 18)*(3*j + 1)
Let u = -1098107/7 + 156873. Determine m so that 0 + 24/7*m**2 + u*m**5 + 0*m + 24/7*m**4 + 44/7*m**3 = 0.
-3, -2, -1, 0
Let w(x) be the second derivative of -3/20*x**5 + 18*x**2 + 5 - 20*x**3 + 37/12*x**4 - 10*x. Factor w(v).
-(v - 6)**2*(3*v - 1)
Let z(j) = 3*j**2 + 96*j + 9. Suppose -155*a + 153*a + 18 = 0. Let m(b) = b**2 + 24*b + 2. Let n(y) = a*m(y) - 2*z(y). Factor n(g).
3*g*(g + 8)
Let y(n) be the third derivative of -1/1680*n**7 - 40*n**2 - 1/12*n**3 - 1/320*n**6 + 0 + 1/96*n**5 + 2*n + 1/64*n**4. What is x in y(x) = 0?
-4, -1, 1
Let h = 249 + -247. Factor 88*v**2 + 42 - 47*v**2 - 38*v**h + 27*v.
3*(v + 2)*(v + 7)
Suppose 114*h = 609*h - 1980. Determine d, given that 0 - 3/4*d**3 + 3/4*d**2 - 1/4*d + 1/4*d**h = 0.
0, 1
Let w be 25/((-225)/54) + 9. Suppose -6*x = -w*r - 4*x - 8, 0 = 4*r - 2*x + 8. Let -2/3*u - 2/3*u**2 + r = 0. What is u?
-1, 0
Let n be 13/5*64/(-1344)*-60. Let 36/7*x**3 + 16/7*x**5 - 64/7*x**4 - 52/7*x + n*x**2 + 12/7 = 0. Calculate x.
-1, 1/2, 1, 3
Factor 534 - 3*a**2 + 1088*a - 53*a - 159 - 2 + 665.
-3*(a - 346)*(a + 1)
Suppose 15 = 4*n + 4*f - 1, 8*f - 3*f = 0. Let o(u) be the third derivative of 1/6*u**n + 0 + 10*u**2 + 0*u**3 + 0*u - 1/15*u**5. Factor o(c).
-4*c*(c - 1)
Let h be 6/(-42)*1176/(-140). Let r(n) be the first derivative of h*n**3 - 46 + 9/10*n**4 + 0*n + 2/5*n**2. Factor r(i).
2*i*(3*i + 1)*(3*i + 2)/5
Let u(z) = 4*z**5 - 56*z**4 - 279*z**3 - 416*z**2 - 284*z - 72. Let p(o) = 3*o**3. Let w(t) = -5*p(t) - u(t). Find a, given that w(a) = 0.
-1, 18
Let s(j) be the second derivative of -5*j**7/6 - 3*j**6/2 + 47*j**5/4 + 35*j**4/4 - 100*j**3/3 - 30*j**2 + 1627*j. Solve s(q) = 0.
-3, -1, -2/7, 1