tor 715*w**2 - 2459*w**2 - 8 + 7368984*w - 868*w**3 - 7369868*w.
-4*(w + 1)**2*(217*w + 2)
Let -1885129/2 + 1373*d - 1/2*d**2 = 0. What is d?
1373
Suppose a - 4*i = -46, -2*a - 142 + 22 = -i. Let v = a - -65. Let -14*z**v - 9 + 1 - 8*z + 8*z - 10*z**2 + 32*z = 0. What is z?
-2, 2/7, 1
Determine m, given that -368/3*m + 32*m**2 + 164/3*m**3 - 320/3 + 8/3*m**4 - 4*m**5 = 0.
-2, -1, 5/3, 4
Suppose -4*b + 546 = 10*b. Suppose -38*h + b*h = 5. Determine o so that h*o**2 - 2*o + 2*o**3 - o**3 + 7 - 11*o = 0.
-7, 1
Let w = -3/69469 - -3126111/138938. Factor 0*x**4 + w*x**2 + 10*x**3 - 189/2 - 1/4*x**5 - 135/4*x.
-(x - 7)*(x - 2)*(x + 3)**3/4
Let j = -215419 + 215421. Factor -95/3*g + 100/3 - 5/3*g**j.
-5*(g - 1)*(g + 20)/3
Determine n so that 0 + 6/5*n + 1/5*n**2 - 1/5*n**4 - 7/5*n**3 + 1/5*n**5 = 0.
-2, -1, 0, 1, 3
Let v be 1*-5 - (-534 - -4)/10. Find c such that -25*c + 4*c**2 + 43*c - 11*c - 39*c + v = 0.
2, 6
Suppose -i - 5*x + 441 = 0, x - 639 = -2*i + 243. Let d = i - 439. Let -27/4*n**d - 51/4*n + 3/2 = 0. Calculate n.
-2, 1/9
Factor 66 + 25*w - 18*w - 4*w**2 + 3*w**2 - 15*w - 11*w.
-(w - 3)*(w + 22)
Let y(b) be the third derivative of -b**8/13440 - 19*b**7/1680 - 361*b**6/480 + 13*b**5/15 + 9*b**2 - b. Let p(j) be the third derivative of y(j). Factor p(o).
-3*(o + 19)**2/2
Let l(o) be the first derivative of 0*o - 16*o**2 - 35 + 9*o**4 + 4/3*o**3. Factor l(g).
4*g*(g + 1)*(9*g - 8)
Let u(x) be the first derivative of -8/45*x**3 - 1/45*x**6 - 39 + 2/25*x**5 + 0*x**4 + 0*x + 0*x**2. Factor u(o).
-2*o**2*(o - 2)**2*(o + 1)/15
Suppose -181*k**4 - 72105*k**2 - 23805*k - 24103*k**3 - 792*k**4 + 5*k**5 - 422*k**4 - 25582*k**3 - 15*k**5 = 0. What is k?
-69, -1, -1/2, 0
Let w(h) = -h**5 - h**4 + h**3 - h**2 - 2*h. Let c(l) = 10*l**5 + 17*l**4 - 22*l**3 + 13*l**2 + 34*l - 8. Let a(g) = 2*c(g) + 22*w(g). Factor a(p).
-2*(p - 2)**3*(p - 1)*(p + 1)
Let t(h) = 14*h - 62. Let m be t(5). Determine v so that -19*v**2 - 20*v - m*v**4 + 20*v**3 - 13*v**2 + 32*v**2 + 8 = 0.
-1, 1/2, 1, 2
Let q(a) be the third derivative of 299*a**2 + 1/780*a**6 + 1/130*a**5 - 5/78*a**4 + 0 + 0*a**3 + 0*a. Factor q(s).
2*s*(s - 2)*(s + 5)/13
Let f(v) be the second derivative of -v**5/4 - 280*v**4/3 + 2255*v**3/6 - 565*v**2 - 1381*v. Factor f(w).
-5*(w - 1)**2*(w + 226)
Determine a so that 315*a**3 - 284*a**2 - 649*a**3 - 580*a - 89 - 203 + 338*a**3 = 0.
-1, 73
Let z be (-525)/(-21) + 38 + -60. Let 2/11*n**4 + 0 + 0*n**2 + 2/11*n**5 + 0*n - 4/11*n**z = 0. What is n?
-2, 0, 1
Let o = 38253/35 + -38246/35. Let -o*s**2 + 0 - 17/5*s = 0. What is s?
-17, 0
Let k = -22 - -28. Let f(u) = -5*u**2 - 5*u + 4. Let z(y) = y**2 + 3*y. Let d(a) = k*z(a) - 2*f(a). Factor d(p).
4*(p + 2)*(4*p - 1)
Let r = 1900 + -1899. Suppose 3*x - 4*i + 6 = 0, -15*x = -17*x + i + r. Factor 0*q - 8/7 + 2/7*q**x.
2*(q - 2)*(q + 2)/7
Suppose -25220*v - 37636/3 - 1/3*v**4 - 38413/3*v**2 - 130*v**3 = 0. Calculate v.
-194, -1
Let p be 2 - (-4 + (-2 - -4)) - -20. Solve 23*m**2 - p*m**2 + 1 + 9*m - 8*m**3 - m**3 = 0 for m.
-1, -1/9, 1
Let n(y) be the third derivative of 0 + 1/12*y**5 - 81*y**2 + 2*y + 35/8*y**4 + 50/3*y**3. Find a, given that n(a) = 0.
-20, -1
Let h(d) be the second derivative of d**5 + 126*d**4 + 4712*d**3 - 5776*d**2 - 16*d + 6. Factor h(n).
4*(n + 38)**2*(5*n - 2)
Let c(w) be the third derivative of -w**5/15 - 11*w**4/3 - 64*w**3 - 640*w**2. Factor c(i).
-4*(i + 6)*(i + 16)
Let r(o) be the first derivative of -2*o**5/25 - 7*o**4/5 + 134*o**3/15 - 88*o**2/5 + 72*o/5 - 2330. Suppose r(j) = 0. Calculate j.
-18, 1, 2
Let a = 608038/253345 + -2/50669. Factor -a*p - 4*p**2 - 9/5*p**3 + 0 - 1/5*p**4.
-p*(p + 1)*(p + 2)*(p + 6)/5
Let v(j) = -3*j**4 + 120*j**3 - 259*j**2 + 158*j + 8. Let l(c) = -c**4 + 41*c**3 - 86*c**2 + 52*c + 3. Let d(p) = -8*l(p) + 3*v(p). Factor d(a).
-a*(a - 29)*(a - 2)*(a - 1)
Factor -1/7*b**3 + 0 + 9/7*b**2 + 0*b - 9/7*b**4 + 1/7*b**5.
b**2*(b - 9)*(b - 1)*(b + 1)/7
Let u(t) be the second derivative of 0 + 0*t**3 - 4*t**2 + 1/45*t**5 - 9*t + 0*t**4. Let s(a) be the first derivative of u(a). Suppose s(g) = 0. What is g?
0
Suppose 6272/5 + 92/5*n**4 + 8936/5*n**2 + 13832/5*n + 1466/5*n**3 + 2/5*n**5 = 0. Calculate n.
-16, -14, -1
Let q = 112753 + -112753. Let o(u) = -u**2 - 9*u - 6. Let f be o(-8). Solve -4/3*j**f + q*j + 16/3 = 0.
-2, 2
Let d = -42 - -42. Factor d*m**3 - 7*m**3 - 9*m + 5*m - 16 + 10*m**2 + 5*m**3.
-2*(m - 4)*(m - 2)*(m + 1)
Let b(f) be the first derivative of -f**6/24 + 11*f**5/10 - 57*f**4/16 - f**3/3 + 19*f**2/2 - 5151. What is u in b(u) = 0?
-1, 0, 2, 19
Suppose 5*p = 0, -5*i = -8*i + p + 2889. Let a = 963 - i. Factor a + 0*d - 2/7*d**4 - 8/7*d**2 + 10/7*d**3.
-2*d**2*(d - 4)*(d - 1)/7
Let j be (1 - 3)*(1 + -2). Factor 10*n**2 - 66*n + 4 - 8*n**2 - 4 - 5*n**j.
-3*n*(n + 22)
Let r(h) be the first derivative of 2*h**3/3 - 242*h**2 - 486*h - 3833. Factor r(w).
2*(w - 243)*(w + 1)
Suppose -t = -4*a + 29 - 47, -4 = -4*t - a. Let c be ((-28)/39)/((-6)/18) + -2. Suppose c*b**t + 2/13 + 4/13*b = 0. Calculate b.
-1
Let n(m) be the third derivative of 7/720*m**6 + 0*m + 0 + 212*m**2 + 0*m**3 + 1/12*m**4 - 11/90*m**5. Let n(i) = 0. Calculate i.
0, 2/7, 6
Let r(v) be the third derivative of v**5/420 - 335*v**4/84 + 112225*v**3/42 - 5*v**2 - v + 6. Factor r(b).
(b - 335)**2/7
Let l = 743316/13 + -57178. Factor -4/13*i + 2/13*i**3 + 0 + l*i**2.
2*i*(i - 1)*(i + 2)/13
Let f be (14 + -2)/(10 + 1). Let v be (9*(-11 + 10))/(-6)*(-8)/(-6). Solve -2/11*u + f - 2/11*u**v = 0 for u.
-3, 2
Let z(i) be the third derivative of -i**8/3360 - i**7/840 + i**6/720 + i**5/120 + 7*i**3/3 + 8*i**2 + 3. Let p(w) be the first derivative of z(w). Factor p(v).
-v*(v - 1)*(v + 1)*(v + 2)/2
Let x(g) = -g**2 - 64*g - 1292. Let w(u) = 2*u**2 + 130*u + 2585. Suppose 4*s + 43 = -5*v, 18*v = -3*s + 16*v - 27. Let m(r) = s*x(r) - 4*w(r). Factor m(q).
-(q + 36)**2
Let v(m) be the first derivative of -m**5/5 - 31*m**4/4 - 113*m**3/3 - 137*m**2/2 - 54*m + 555. Find f such that v(f) = 0.
-27, -2, -1
Let k(y) be the third derivative of -y**7/210 + 137*y**6/120 + 277*y**5/60 + 139*y**4/24 - 221*y**2 - 12*y. Factor k(b).
-b*(b - 139)*(b + 1)**2
Let n(o) = 2*o**3 + 11*o**2 - o + 15. Let a be n(-6). Let r be a/((99/(-44))/((-9)/(-42))). Factor -12/7*v**2 - 22/7*v - r.
-2*(v + 1)*(6*v + 5)/7
Suppose -11*t + 9 = -8*t. Factor -7*c**3 + 5*c - 4*c**4 + t*c**3 + 11*c + 33*c**2 - 32 - 9*c**2.
-4*(c - 2)*(c - 1)*(c + 2)**2
Determine c, given that 1/4*c**3 + 21/4*c**2 + 0 + 20*c = 0.
-16, -5, 0
Let j(f) be the third derivative of 1/10*f**6 + 1/4*f**4 + 0*f**3 - f**2 + 125*f + 0 - 1/70*f**7 - 1/4*f**5. Factor j(g).
-3*g*(g - 2)*(g - 1)**2
Let p be (-2 + 0)/(-16) - (-2080)/(-256). Let q be 2 - -2 - (2 + (-9 - p)). Factor 6/7*f**2 + 15/7*f**4 + q*f**3 + 0 + 0*f.
3*f**2*(f + 1)*(5*f + 2)/7
Let t = -229 - -232. Factor n**4 + 572 - 2*n**t + n**2 + 2*n - 572 - 2*n**2.
n*(n - 2)*(n - 1)*(n + 1)
Let l(s) be the first derivative of -9*s**2 + 0*s - 2/3*s**3 + 37. Solve l(r) = 0 for r.
-9, 0
Let r be 53 + -62 - (-9 + 0). Let l be (((-3)/(-12)*r)/1)/2. Let 1/5*k**2 + 8/5*k**5 + l + 1/5*k - 4/5*k**4 - 6/5*k**3 = 0. Calculate k.
-1/2, 0, 1/2, 1
Let h(z) be the third derivative of -z**6/6 + 7*z**5/5 - 5*z**4/3 - 16*z**3 + 12*z**2 - 50. Determine m, given that h(m) = 0.
-4/5, 2, 3
Determine m so that 42*m**3 - 3*m**5 - 39*m + 31*m**2 - 183424 - 8*m**2 + 13*m**2 + 183388 = 0.
-3, -1, 1, 4
Let g be (-8)/(-3) + 16/(-24). Find o, given that 363*o**3 + 2*o**g + 8 + 2 - 364*o**3 + 6*o**2 - 17*o = 0.
1, 2, 5
Let s(k) = 14*k**4 - 126*k**3 + 236*k**2 - 16*k + 16. Let r(f) = -5*f**4 + 42*f**3 - 79*f**2 + 6*f - 6. Let m(h) = -8*r(h) - 3*s(h). Factor m(w).
-2*w**2*(w - 19)*(w - 2)
Let c be (-4)/228*((-840)/(-119))/8. Let l = 2897/646 - c. Factor l*a**2 - 1/2*a**3 - 27/2*a + 27/2.
-(a - 3)**3/2
Suppose -4*r + 60*n - 690 = 62*n, -5*r - 5*n - 875 = 0. Let f = 1192/7 + r. What is z in -f*z**2 - 2/7*z**4 - 4/7*z**3 + 0*z + 0 = 0?
-1, 0
Let p(f) be the first derivative of -f**6/8 - 7*f**5/12 + 10*f**3/3 - 6*f**2 - 29. Let l(a) be the second derivative of p(a). Determine m so that l(m) = 0.
-2, -1, 2/3
Let d(q) = -q**2 - 6*q - 3. Let l be d(-5). Let r(h) be the first derivative of -54*h**2 - 57*h**l + 7 + 105*h**2 - h**3 - 12*h - 2. Find v such that r(v) = 0