et p(w) be the second derivative of j(w). Factor p(d).
d**3*(d + 1)*(11*d - 2)/2
Let l = 325716 + -325713. Factor 154/3*t + 544/9*t**2 - 128/9*t**l + 10.
-2*(t - 5)*(8*t + 3)**2/9
Suppose -2*k - 3*q + 8 = -9, -5*k + 5*q = -5. Let b(i) be the second derivative of -12*i + 0 + 1/10*i**k - 1/100*i**5 - 3/10*i**3 + 0*i**2. Factor b(l).
-l*(l - 3)**2/5
Let z(t) = -6*t**2 - 141*t - 324. Let r(s) = 3*s**2 + 70*s + 168. Let x(c) = -9*r(c) - 4*z(c). Factor x(d).
-3*(d + 4)*(d + 18)
Suppose -25 = -3*a + 4*v, 2*a - 7 = 5*v + 19. Let k be (-2)/(-19 + 24/a). Find s such that -6/11*s**2 + 0 + k*s**3 + 4/11*s = 0.
0, 1, 2
Suppose 4 = 3*n + 4*f - 28, 5 = f. Let t be 6/9 + (2353/(-429) - -5). Factor 27000/11*y - t*y**n - 101250/11 + 120/11*y**3 - 2700/11*y**2.
-2*(y - 15)**4/11
Suppose -4*y - 200 = f, 4*f = -y + 236 - 961. Let b be (-18)/(f/(-14)) + (-64)/(-35). Factor -9/7 - b*c**2 + 12/7*c.
-3*(c - 3)*(c - 1)/7
Let c(u) = u**4 - 81*u**3 - 54*u**2 - 7*u - 21. Let a(h) = -2*h**4 + 123*h**3 + 81*h**2 + 11*h + 33. Let j(f) = 7*a(f) + 11*c(f). What is b in j(b) = 0?
-9, -1, 0
Let j(n) be the third derivative of -5/6*n**3 - 28*n - 11/300*n**5 - n**2 + 0 + 7/24*n**4 + 1/600*n**6. Determine r, given that j(r) = 0.
1, 5
Suppose -w = -l - 32 + 29, 3*w = 2*l + 24. Factor 33/2*c + w - 3/2*c**2.
-3*(c - 12)*(c + 1)/2
Let y = 22122/1199 - -50/109. Let j = y - 613/33. Solve -1/3*d**4 + 0 + 0*d**3 + 0*d + j*d**2 = 0.
-1, 0, 1
Suppose 1690*l - 1686*l = 0. Let j(i) be the first derivative of -17 + 0*i + 1/5*i**5 + l*i**2 - 2/3*i**3 - 1/4*i**4. Factor j(f).
f**2*(f - 2)*(f + 1)
Let d(j) be the second derivative of -1/25*j**5 - 8/5*j**2 + 1/15*j**4 + 0 - 195*j + 8/15*j**3. Factor d(v).
-4*(v - 2)*(v - 1)*(v + 2)/5
Let r(l) be the second derivative of 5*l**5/36 - 55*l**4/72 + 5*l**3/9 - 29*l**2 - 41*l. Let i(c) be the first derivative of r(c). Factor i(h).
5*(h - 2)*(5*h - 1)/3
Let m(q) be the second derivative of -41*q + 0*q**2 - 1/30*q**3 + 0 + 1/60*q**4. Factor m(y).
y*(y - 1)/5
Let b be ((-3)/(-5))/(260/29250)*(-4)/(-40). Factor 0 - 33/4*t**3 + 9/2*t**4 - 3*t**2 + b*t**5 + 3*t.
3*t*(t + 1)**2*(3*t - 2)**2/4
Factor -22/5*b**2 + 2/5*b**5 - 2/5*b**3 - 8/5 + 6/5*b**4 - 24/5*b.
2*(b - 2)*(b + 1)**3*(b + 2)/5
Let x(j) = j**2 - 4*j - 1. Let n(q) = -4*q**3 - 202*q**2 - 1964*q - 1774. Let c(l) = n(l) + 2*x(l). What is y in c(y) = 0?
-37, -12, -1
Factor 0 + 2/7*u**4 + 18/7*u**2 + 44/7*u - 24/7*u**3.
2*u*(u - 11)*(u - 2)*(u + 1)/7
Let j(y) be the third derivative of -y**7/840 - 29*y**6/480 - 37*y**5/40 - 35*y**4/24 + 49*y**3/3 - 1014*y**2. Factor j(i).
-(i - 1)*(i + 2)*(i + 14)**2/4
Let v(l) be the second derivative of -l**9/12096 + l**8/6720 + l**7/1680 - 20*l**3/3 + 7*l. Let o(d) be the second derivative of v(d). What is m in o(m) = 0?
-1, 0, 2
Suppose -28*z + 22*z = -336. Determine p, given that -2*p - 3*p**2 + z*p + 3*p**2 + 4*p**2 - 3*p**2 = 0.
-54, 0
Let x(j) = -54*j - 61 + 22*j + 24*j. Let a be x(-8). Find r, given that 221 - 19*r**a - 8*r**5 + 16*r + 44*r**4 - 53*r**3 - 233 + 32*r**2 = 0.
-1/2, 1, 3
Let u(k) = k**3 - 9*k**2 - 9*k - 6. Let c be u(10). Suppose -6*b**4 - 92*b**2 + 50*b**2 - 24*b - 21*b**3 + 3*b**c = 0. Calculate b.
-4, -2, -1, 0
Solve -1/6*w**3 - 2*w**2 + 0*w + 0 = 0 for w.
-12, 0
Suppose 134162/9 + 2/9*p**3 + 346/3*p**2 + 15022*p = 0. What is p?
-259, -1
Let b(l) be the third derivative of -l**8/112 - 33*l**7/14 + 333*l**6/40 - 167*l**5/20 - 1012*l**2 + 4. Factor b(x).
-3*x**2*(x - 1)**2*(x + 167)
Let l be -1 - (3 - 4 - -18)*-5. Let s = -79 + l. What is y in -3*y - 3*y**5 + y**5 + 6*y**2 - 6*y**4 - y**s + 6*y**5 = 0?
-1, 0, 1
Suppose 19*d + 31*d = 2*d. Let o(c) be the third derivative of 23*c**2 - 2/9*c**3 - 1/36*c**4 + 1/180*c**6 + 1/45*c**5 + d + 0*c. Factor o(l).
2*(l - 1)*(l + 1)*(l + 2)/3
Let p(s) = -3*s**2 + 2. Let f(h) = 15*h**2 - 90*h - 99. Let b(n) = f(n) + 6*p(n). Factor b(l).
-3*(l + 1)*(l + 29)
Suppose -27*d + 15*d = -36. Let j be (d - (0 - -3 - 5)) + -3. Solve -343*y**j + 331*y**2 + 3 - 28*y + 21 + 4*y**4 + 12*y**3 = 0.
-3, -2, 1
Let 522556*d**5 - 33 + 111*d**3 + 201 - 522553*d**5 - 219*d**2 + 51*d**4 - 114*d = 0. What is d?
-14, -4, -1, 1
Let w(v) be the second derivative of 49/3*v**3 + 2401/2*v**2 + 0 + 29*v + 1/12*v**4. Factor w(x).
(x + 49)**2
Let x(j) be the second derivative of -j**7/525 + j**6/150 - j**5/150 - 30*j**2 - 2*j + 32. Let s(r) be the first derivative of x(r). Let s(g) = 0. Calculate g.
0, 1
Let j be ((-8)/(-3) + -2)*3135/114. Let s = j + -1039/57. Factor 20/19*a + 50/19 + s*a**2.
2*(a + 5)**2/19
Let u(h) be the third derivative of h**6/1080 - h**5/60 - 79*h**3/3 - 4*h**2 - 18*h. Let a(x) be the first derivative of u(x). Let a(k) = 0. Calculate k.
0, 6
Let r(p) be the third derivative of 19/18*p**4 + 80*p**2 + 0 + 0*p - 1/45*p**5 + 0*p**3. Factor r(f).
-4*f*(f - 19)/3
Let j(u) be the first derivative of u**7/1470 + u**6/630 - 2*u**5/105 - 2*u**4/21 + 17*u**3 - 15. Let t(i) be the third derivative of j(i). Factor t(z).
4*(z - 2)*(z + 1)*(z + 2)/7
Let p be (1/(-3))/(123*(-2)/(-1080)). Let g = 1108/533 + p. Factor 42/13*c + 10/13 + g*c**2.
2*(c + 5)*(4*c + 1)/13
Factor -294 + 29*b**4 + b**4 - 420*b**2 - 32*b**4 - 300*b**3 - 884*b - 468*b**2.
-2*(b + 1)**3*(b + 147)
Let k(z) be the first derivative of 5*z**6/6 + 33*z**5 + 360*z**4 + 1280*z**3/3 + 3357. Let k(t) = 0. Calculate t.
-16, -1, 0
Let q(x) be the first derivative of -3*x**2 - 99 + x**5 + 3/2*x**4 - x - 4/3*x**3. Find m such that q(m) = 0.
-1, -1/5, 1
Suppose 5768*h = 6844*h. Factor h*k + 0*k**2 + 0*k**3 + 1/4*k**4 + 0.
k**4/4
Let v(m) be the first derivative of -3*m**4/8 - m**3 + 33*m**2/4 + 18*m + 1096. Suppose v(t) = 0. What is t?
-4, -1, 3
Let m(b) be the first derivative of b**4/2 + 68*b**3/3 + 133*b**2/4 + 33*b/2 + 831. Suppose m(p) = 0. What is p?
-33, -1/2
Let m(n) = n**3 + 37*n**2 + 96*n - 12. Let h be m(-3). Factor -3/4*c**2 - 21/4*c + h.
-3*(c - 1)*(c + 8)/4
Let d be 6/5*150/18. Suppose -22 - d = -2*a. Find x, given that -3*x**4 - 16*x - 12*x**2 + 2*x**4 + 4*x**4 + a + x**4 + 8*x**3 = 0.
-2, 1
Let q(t) = 9*t**3 + 224*t**2 + 3161*t + 14442. Let l(s) = 8*s**3 + 223*s**2 + 3157*s + 14444. Let u(o) = -4*l(o) + 3*q(o). Factor u(c).
-5*(c + 10)*(c + 17)**2
Let r(h) be the second derivative of 10*h**7/21 - 74*h**6/15 - 21*h**5/5 + 229*h**4/3 + 248*h**3/3 - 168*h**2 + 4147*h. Determine i so that r(i) = 0.
-2, -1, 2/5, 3, 7
Let v be -40*(-18)/90 - 3. Let b(l) be the third derivative of -1/75*l**6 + 0*l + 1/75*l**v - 19*l**2 - 3/5*l**3 - 1/525*l**7 + 1/5*l**4 + 0. Factor b(p).
-2*(p - 1)**2*(p + 3)**2/5
Let r(i) = i**3 - i**2 - 2*i + 3. Let q be r(2). Suppose 3*k = -2*y + 3, -2*k - 3*y = -4*y - 9. Solve -g + k + 8*g + q*g + 3*g**2 - 16*g = 0 for g.
1
Let q(t) be the third derivative of -t**8/3192 - 17*t**7/1995 - 7*t**6/570 + 53*t**5/57 - 187*t**4/76 - 363*t**3/19 + 6096*t**2. Find p, given that q(p) = 0.
-11, -1, 3
Let w(o) be the second derivative of -o**6/3060 + o**5/510 - o**4/204 + 121*o**3/6 - 5*o + 5. Let h(x) be the second derivative of w(x). Factor h(y).
-2*(y - 1)**2/17
Let v(s) = -8 + 24*s - 12*s**4 + 11*s - 7 + 7 - 43*s**2 + 28*s**3. Let b(m) = 22*m**4 - 56*m**3 + 87*m**2 - 69*m + 16. Let f(l) = 3*b(l) + 5*v(l). Factor f(o).
2*(o - 2)*(o - 1)**2*(3*o - 2)
Let w(v) = 105*v**3 + 207*v**2 - 1521*v. Let f(h) = -47*h**3 - 104*h**2 + 760*h. Let n(k) = -9*f(k) - 4*w(k). Factor n(d).
3*d*(d - 6)*(d + 42)
Let j = -1204/13 - -6022/65. Let d(y) be the first derivative of 0*y - 1/26*y**4 - j*y**5 - 11 + 0*y**2 + 0*y**3. Find z such that d(z) = 0.
-1, 0
Find v such that 4*v - 62*v**4 - 52*v + 20*v**3 + 58*v**4 + 94*v**2 + 65*v**2 - 127*v**2 = 0.
-2, 0, 1, 6
Let m = -1324/87 + 451/29. Let i(f) be the second derivative of m*f**4 + 0*f**2 + 0 - 4/3*f**3 - 18*f. Determine k so that i(k) = 0.
0, 2
Let d = 385 - 925. Let m = 542 + d. Find h, given that -3/2*h**m - 1/4*h**4 - h - 1/4 - h**3 = 0.
-1
What is r in 625*r**2 - 1866*r**2 + 754*r + 618*r**2 + 622*r**2 - 142129 = 0?
377
Let i(k) = -2*k**4 + 6*k**3 + 3*k - 1. Let x(q) = -25*q**4 - 1820*q**3 + 180480*q**2 + 368685*q - 15. Let m(h) = -15*i(h) + x(h). Suppose m(c) = 0. Calculate c.
-2, 0, 192
Suppose -2*d**3 + 168/11*d + 24/11*d**2 - 256/11 = 0. What is d?
-32/11, 2
Suppose -i - 88 = -3*o, -413 = 5*o + i - 557. Let k(a) be the