 Determine i so that v(i) = 0.
-1, 0, 1
Let z = 842606 + -842606. Determine m, given that -8/5*m**3 - 34/5*m**2 - 8/5*m + z = 0.
-4, -1/4, 0
Let x(v) = -5*v**2 + 91*v - 311. Let q(b) = -4*b**2 + 90*b - 314. Let h(n) = -3*q(n) + 2*x(n). Factor h(j).
2*(j - 40)*(j - 4)
Suppose 2345 = 5*u - c, 1956 + 359 = 5*u + 5*c. Let l = u - 465. Factor -7/4*a + 1/4*a**l + 1 + 1/2*a**2.
(a - 1)**2*(a + 4)/4
Determine w, given that 2/7*w**2 - 328/7 - 326/7*w = 0.
-1, 164
Let h(n) be the first derivative of n**4/6 - 508*n**3/3 - n**2/3 + 508*n - 12166. Find l, given that h(l) = 0.
-1, 1, 762
Let l = 491 + -759. Let x = -799/3 - l. Factor 5/3*c**4 - 5/3*c**3 - x*c**2 + 5/3*c + 0.
5*c*(c - 1)**2*(c + 1)/3
Let z(u) = u**4 - 35*u**3 + 268*u**2 - 640*u + 448. Let c(b) = b**4 - 34*b**3 + 268*b**2 - 641*b + 436. Let l(y) = 4*c(y) - 5*z(y). Factor l(q).
-(q - 31)*(q - 4)*(q - 2)**2
Factor -47 + 3*x**2 - 313 + 104 - 3*x - 14.
3*(x - 10)*(x + 9)
Let i = 1621/3 + -532. Let s = i + -101/15. Factor -18/5*v**3 + 8*v - s - 14/5*v**2.
-2*(v - 1)*(v + 2)*(9*v - 2)/5
Let i = -1/257444 - -4119107/772332. Suppose 80/3*k + 28/3 + i*k**3 - 4/3*k**4 + 24*k**2 = 0. Calculate k.
-1, 7
Let a be -5*(-2)/12 - (-227843)/462. Let h be a/368 - (-87)/(-696). Factor 6/23*y**3 - h*y + 0 + 38/23*y**2.
2*y*(y + 7)*(3*y - 2)/23
Let v(y) be the second derivative of -y**7/42 + y**5/4 - 5*y**4/12 - 13*y**2/2 + 12*y - 1. Let d(t) be the first derivative of v(t). Solve d(b) = 0 for b.
-2, 0, 1
Let v(d) = -12679*d**2 + 782*d - 10. Let s(u) = -50718*u**2 + 3129*u - 39. Suppose -15*z - 12*z - 243 = 0. Let a(h) = z*v(h) + 2*s(h). Factor a(q).
3*(65*q - 2)**2
Let m be 0 + 5 + -2*(1 - 0). Suppose m*i = -0*i + 15. Suppose -18*p + i*p**3 + 12*p - 14*p - 40 + 10*p**2 = 0. What is p?
-2, 2
Suppose 25 = -5*j, 4*v - 2*j - 13 = 13. Factor 21*u**3 - 8*u**2 - 7*u**3 - 7*u**4 + 10*u + 5*u**v - 14*u**2.
-2*u*(u - 5)*(u - 1)**2
Let b(l) be the first derivative of -l**4/16 + l**3/12 + l**2/4 - 1189. Find k, given that b(k) = 0.
-1, 0, 2
Let s(i) = -12*i**2 + 8120*i - 1362844. Let h(x) = 4*x**2 - 2706*x + 454281. Let r(b) = 16*h(b) + 5*s(b). Factor r(t).
4*(t - 337)**2
Factor -512/9 + 2/9*q**3 - 136/9*q**2 + 520/9*q.
2*(q - 64)*(q - 2)**2/9
Let k(n) be the second derivative of 67*n + 0 - 1/40*n**5 - 4*n**2 - 5/3*n**3 - 1/3*n**4. Factor k(m).
-(m + 2)**2*(m + 4)/2
Let h be -2 + (-145560)/84 + -4. Let p = h - -1740. Factor 2/7*i**3 + 0 - 8/7*i**2 + p*i.
2*i*(i - 2)**2/7
Let z = 97/185 - -14/185. Let f(x) be the first derivative of 0*x**2 + 0*x + 0*x**4 - z*x**5 + 4*x**3 - 11. Factor f(y).
-3*y**2*(y - 2)*(y + 2)
Let d(z) = z**3 + 4*z**2 - 216*z + 291. Let q(k) = -3*k**3 + 4*k**2 + 432*k - 583. Let f(t) = 7*d(t) + 3*q(t). Factor f(m).
-2*(m - 12)*(m - 6)*(m - 2)
Let w(t) be the third derivative of 1/3*t**4 + 0*t + 48*t**2 - 1/15*t**6 - 1/15*t**5 + 0 + 2/3*t**3. Factor w(d).
-4*(d - 1)*(d + 1)*(2*d + 1)
Let d be ((-3)/15)/(71/(-1065)). Let x(b) be the second derivative of 3*b**2 + 1/4*b**4 + 0 - 3/2*b**d - 11*b. Determine k so that x(k) = 0.
1, 2
Let z(c) be the third derivative of c**6/240 + 559*c**5/20 + 937443*c**4/16 - 721*c**2. Find x, given that z(x) = 0.
-1677, 0
Let a(p) be the second derivative of -p**6/10 - 1901*p**5/70 + 3643*p**4/84 + 272*p**3/21 - 26*p**2 - 10*p + 134. Solve a(i) = 0.
-182, -1/3, 2/7, 1
Let o(g) be the first derivative of g**5/12 - 25*g**4/24 - 5*g**3 + g**2/2 - 39*g - 70. Let t(h) be the second derivative of o(h). Factor t(v).
5*(v - 6)*(v + 1)
Let i(b) = 3*b - 38. Let w be i(14). Factor 3*z**3 + 7*z**4 - 2*z**w - 269*z - 12*z**2 + 273*z.
z*(z - 1)*(z + 2)*(5*z - 2)
Let 8/5*d**3 + 0 + 42*d**2 - 392/5*d = 0. What is d?
-28, 0, 7/4
Let t(x) be the second derivative of 0*x**4 + 0*x**3 + 5*x**2 + 1/45*x**5 - 3*x + 0 + 1/180*x**6. Let d(k) be the first derivative of t(k). Factor d(h).
2*h**2*(h + 2)/3
Let i(f) be the third derivative of 0*f**3 + 0*f - 5/4*f**4 + 0 + 1/24*f**6 - 1/12*f**5 - f**2. Factor i(n).
5*n*(n - 3)*(n + 2)
Suppose 3*a - 30 = -3. Suppose -39 + a = -2*q. Suppose -3*b**2 + q*b + 30*b**3 - 27*b**2 - 15*b**4 + 4*b**5 - b**5 - 3 + 0*b**2 = 0. Calculate b.
1
Factor 155325*c**2 - 1236565*c**4 + 295936*c + 1236569*c**4 + 142787*c**2 + 2180*c**3.
4*c*(c + 1)*(c + 272)**2
Suppose 65 = -13*p + 8*p - 5*u, -u = 17. Factor 5/4*j**2 - 1/2*j**3 + 3/2*j - 1/4*j**p + 0.
-j*(j - 2)*(j + 1)*(j + 3)/4
Let x(a) be the third derivative of -11/6*a**4 - 8*a**2 - 1/90*a**5 - 121*a**3 + 0*a - 1. Suppose x(o) = 0. Calculate o.
-33
Suppose -4*k = -5*d + 17, 0 = -4*k - 32*d + 34*d - 2. Suppose 11 = -5*y - 4*h, -k*h - 8 + 2 = 2*y. Find o such that -1/6*o - y + 1/6*o**2 = 0.
-2, 3
Let f = -253962 + 1274768/5. Let a = f + -991. Let a*j**2 - 66/5*j + 363/5 = 0. What is j?
11
Solve -1025 - z**2 - 1440868*z - 269 + 1439573*z = 0.
-1294, -1
Let b(l) = -5*l**5 - 45*l**4 - 15*l**3 - 5*l**2 - 5*l - 5. Let z(n) = -3*n**5 - 23*n**4 - 12*n**3 - 2*n**2 - 2*n - 2. Let h(f) = -2*b(f) + 5*z(f). Factor h(o).
-5*o**3*(o + 2)*(o + 3)
Let n be ((-5)/(-540)*9)/(99/12). Let q = n + 2077/198. Determine j, given that -39*j**3 + 81/2*j**2 + q*j**4 - 6 - 6*j = 0.
-2/7, 1, 2
Suppose 0 = -2*l - 3*o + 546, -4*o - 381 = -5*l + 984. Let d be l/45 - (3 - -2). Factor 2/5 - 2*h**2 + d*h + 8/15*h**3.
2*(h - 3)*(h - 1)*(4*h + 1)/15
Solve 0 + 756/11*r**2 + 2/11*r**3 + 754/11*r = 0 for r.
-377, -1, 0
Suppose 7960 = 24*n + 1060*n + 508*n. Suppose 0*d**2 + 0 + 1/8*d**n - 5/8*d**3 + 1/2*d + 0*d**4 = 0. Calculate d.
-2, -1, 0, 1, 2
Suppose -8*k + 190 = 158. Suppose -k*v - 4 = 0, -4*v = -2*z + 4*z. Find s, given that 2/15*s**3 - 2/5*s + 0 - 4/15*s**z = 0.
-1, 0, 3
Factor 580*d - 210250 - 2/5*d**2.
-2*(d - 725)**2/5
Suppose -1859 + 126*q**3 - 3*q**4 - 657*q**2 - 371*q**2 + 2793 + 704*q**2 - 1134*q + 2225 = 0. What is q?
-3, 3, 39
Factor -1/6*v**2 - 2775368/3 + 2356/3*v.
-(v - 2356)**2/6
Let y(p) = -p**3 + 30*p**2 + 825*p - 24747. Let a be y(30). Determine i, given that 1/8*i**a + 0 + 1/8*i - 1/4*i**2 = 0.
0, 1
Let h(b) = -2*b**3 - 51*b**2 - 73*b - 22. Let d be h(-24). Suppose -d*c = a + 2, 0 = -3*a + 7*c - 2*c + 5. Determine k so that -2/5*k**2 + a - 8/5*k = 0.
-4, 0
Let b = 109949 + -549739/5. Determine m so that -8/5*m + 2/5*m**3 + 24/5 - b*m**2 = 0.
-2, 2, 3
Let f(w) be the first derivative of -48 - 1/15*w**3 + 11/10*w**2 - 18/5*w. Factor f(z).
-(z - 9)*(z - 2)/5
Let j(h) = -h**3 + h**2 - 9*h - 1. Let b(k) = -9*k**3 + 48*k**2 + 230*k - 810. Let a(t) = -b(t) + 10*j(t). Factor a(g).
-(g - 2)*(g + 20)**2
Suppose 77330*m = 77326*m. Let z(y) be the second derivative of 1/60*y**3 - 6*y + m*y**2 - 1/420*y**7 + 0*y**5 + 1/60*y**4 - 1/150*y**6 + 0. Factor z(j).
-j*(j - 1)*(j + 1)**3/10
Let n(g) = -15*g**3 - 25*g**2 - 22*g - 38. Let h be ((12/9)/4)/(5/195). Let v(d) = -7*d**3 - 12*d**2 - 11*d - 18. Let l(b) = h*v(b) - 6*n(b). Factor l(s).
-(s + 1)*(s + 2)*(s + 3)
Determine d, given that -2/13*d**3 - 580/13*d + 582/13*d**2 + 0 = 0.
0, 1, 290
Let t(o) = -4*o**2 - 98*o - 261. Let r(j) = 36*j**2 + 892*j + 2348. Let u(y) = 3*r(y) + 28*t(y). Suppose u(x) = 0. Calculate x.
-11, -6
Let p be 20*(-2 + 2/8). Let b = -43 - p. Let i(u) = -4*u**2 - 272*u - 1444. Let c(o) = 3*o**2 + 181*o + 963. Let z(r) = b*c(r) - 5*i(r). Factor z(q).
-4*(q + 11)**2
Factor -1/5*i**3 + 276/5*i + 0 + 55*i**2.
-i*(i - 276)*(i + 1)/5
Let h(b) be the second derivative of b**7/210 + 59*b**6/75 + 3361*b**5/100 - 118*b**4 + 120*b**3 - 140*b - 1. Factor h(i).
i*(i - 1)**2*(i + 60)**2/5
Let h(q) be the first derivative of -2*q**3 - 303*q**2/2 - 297*q + 5034. Let h(d) = 0. What is d?
-99/2, -1
Determine s so that 6029/2*s**2 - 12482/3 - 4266*s + 235/3*s**3 + 1/2*s**4 = 0.
-79, -2/3, 2
Let s(x) = -3*x**3 + 781*x**2 - 155233*x - 156025. Let p(w) = 4*w**3 - 777*w**2 + 155232*w + 156025. Let j(d) = 2*p(d) + 3*s(d). Factor j(g).
-(g - 395)**2*(g + 1)
Factor -1/9*p**4 + 125/9*p**2 + 0 - 28/9*p**3 - 32/3*p.
-p*(p - 3)*(p - 1)*(p + 32)/9
Let y = -35309/20 + 8828/5. Let o(z) be the first derivative of -27/2*z + 9/8*z**2 + y*z**5 + 28 + 13/4*z**3 - 21/16*z**4. Determine d, given that o(d) = 0.
-1, 2, 3
Let d = -10 - -18. Suppose -d*n + 15*n - 231 = 0. Factor -u**2 - u**3 + n*u**5 - 32*u**5 - 2*u**2 + 8*u**2 - 5*u**4.
u**2*(u - 5)*(u - 1)*(u + 1)
Let y = -47/5 - -253/20. Let g = y - 11/4. Find u, given that