 61*d**4/21 + 76*d**3/3 - 70*d**2 - 77*d - 234. Let m(k) be the first derivative of w(k). Factor m(p).
4*(p - 7)**2*(4*p - 5)/7
Factor -430/19*y + 868/19 - 2/19*y**2.
-2*(y - 2)*(y + 217)/19
Suppose 755 + 404*a**2 - 6000*a - 722*a**3 + 185*a**3 + 15*a**4 + 1282*a**2 + 1806*a**2 - 2099 = 0. Calculate a.
-1/5, 4, 28
Suppose -218*q + 20579 = 20143. What is c in -15*c**3 - 115/2*c**q + 10 - 50*c = 0?
-2, 1/6
Let i(s) = -s**3 + s**2 + 13*s - 35. Let z be i(3). Let f be ((-35)/z - 1)*4/10. Solve f*t**2 + 1/5*t**3 + 1/5 + 3/5*t = 0 for t.
-1
Let y(d) = -d**3 - 6*d**2 - 13*d - 16. Let f(k) = 6*k + 56. Let b be f(-10). Let w be y(b). Factor 0 + 0*l - 1/4*l**3 - 1/4*l**w + 1/2*l**2.
-l**2*(l - 1)*(l + 2)/4
Let n = -1038231/5 - -207663. Factor 12/5*z + 3/5*z**4 - 63/5*z**2 + n + 12/5*z**3.
3*(z - 2)**2*(z + 1)*(z + 7)/5
Let q(d) = 5*d - 3. Let o be q(1). Determine n so that -2*n**3 - 7*n**2 + n**3 - n**3 + 58 + 13*n**o - 74 + 12*n = 0.
-2, 1, 4
Suppose r = -3*w - w + 16, 4*w = 4*r - 4. Suppose 2*u**2 - 1054 - 2996 - r*u**2 + 180*u = 0. Calculate u.
45
Let t(p) be the third derivative of p**6/40 - 17*p**5/20 + 31*p**4/8 - 15*p**3/2 + 507*p**2. Find f such that t(f) = 0.
1, 15
Let w(p) = -p**3 + 15 - 2*p + 6*p**2 - 17 + 4. Let u be w(4). Determine o so that 5*o**3 - 10*o**2 + 10 - 31*o - u*o + 52*o = 0.
-1, 1, 2
Let f(i) be the second derivative of 0*i**2 - 5/12*i**4 - 2 - 5/3*i**3 - 51*i. Factor f(j).
-5*j*(j + 2)
Suppose -5*o**3 + 1/2*o**4 - 15*o + 0 + 31/2*o**2 = 0. Calculate o.
0, 2, 3, 5
Suppose 0 = -2*p + p - 2*z, -z = p - 2. Let k(j) = j**3 - 3*j**2 - 4*j + 2. Let n be k(p). Factor 11 + 3*m + 5*m - 5 + 2*m**n.
2*(m + 1)*(m + 3)
Factor 2/3*v**5 - 268/3*v**2 + 104*v - 8*v**4 - 48 + 38*v**3.
2*(v - 3)**2*(v - 2)**3/3
Let n(g) be the second derivative of -g**5/20 - g**4/12 - g**3/6 + 208*g. Let b(m) = -m**3 - 14*m**2 + 8. Let w(h) = -b(h) + 4*n(h). Let w(p) = 0. What is p?
-2/3, 2
Let q(h) be the second derivative of 0*h**3 + 3/5*h**5 + 2/21*h**7 - 2/5*h**6 - 4*h + 0*h**2 - 1/3*h**4 + 4. Determine o, given that q(o) = 0.
0, 1
Suppose 869*d - 420 = 862*d. Let y be (d/45)/((-8)/(-18)) + -2. Let -1/4*r**2 + y + 3/4*r = 0. Calculate r.
-1, 4
Let o(k) be the third derivative of -3*k - 11/25*k**5 + 4/3*k**4 + 1/15*k**6 + 0 + 7*k**2 - 2/525*k**7 - 32/15*k**3. Factor o(c).
-4*(c - 4)**2*(c - 1)**2/5
Let v be (-1)/((-1)/3) - (-1 + 1). Suppose -c + 7 = 4*g, v*c + 5*g = 8*c - 10. Determine z, given that 23*z - 24 - 3*z - c*z**2 - 2*z**2 + 4 = 0.
2
Let o be ((-16)/(-12))/((-988)/(-351))*(-14)/(-7). Solve 2/19*a**2 + o - 12/19*a = 0.
3
Let f be ((-40)/11)/(-2) + 12 + (-2210)/187. Let d(k) be the first derivative of 1 + 5*k**3 + 39/2*k**f - 18*k. Determine r so that d(r) = 0.
-3, 2/5
Factor 72 + 0*b - 6*b**2 - 2/3*b**3.
-2*(b - 3)*(b + 6)**2/3
Let j(w) be the third derivative of w**5/330 - 151*w**4/33 + 91204*w**3/33 + 6404*w**2. Let j(h) = 0. What is h?
302
Determine z, given that -82*z + 1/2*z**2 + 483/2 = 0.
3, 161
Let g(y) be the second derivative of y**5/5 - 2*y**4 - 2*y**3/3 + 12*y**2 - y + 86. Factor g(x).
4*(x - 6)*(x - 1)*(x + 1)
Let t(f) = -79*f + 11. Let v be t(1). Let m(r) = r**2 - 10*r - 5. Let s(l) = 12*l**2 - 112*l - 56. Let n(j) = v*m(j) + 6*s(j). Factor n(i).
4*(i + 1)**2
Let t(i) be the first derivative of 2*i**6/3 - 56*i**5/5 - 24*i**4 + 584*i**3/3 - 338*i**2 + 240*i + 8432. Factor t(k).
4*(k - 15)*(k - 1)**3*(k + 4)
Suppose 0 = 36*b + 4360 - 21784. Let l = b - 4348/9. Factor 2/9*g + 0 + 4/3*g**3 - 8/9*g**2 - l*g**4 + 2/9*g**5.
2*g*(g - 1)**4/9
Let a(p) be the second derivative of -32*p - 3/14*p**4 - 2*p**3 + 0 - 24/7*p**2. Suppose a(m) = 0. What is m?
-4, -2/3
Let o = 15363 - 15355. Let z(x) be the first derivative of -9/2*x**2 - x**3 - o - 6*x. Factor z(s).
-3*(s + 1)*(s + 2)
Suppose -89 = p + 4*p - 2*a, 4*p + 73 = a. Let y = p + 21. Factor -h**2 - y - 32*h + 26*h - 7.
-(h + 3)**2
Factor 6*r**4 + 235*r**5 - 477*r**5 - 2*r**4 + 5*r**4 + 6*r**3 + 245*r**5.
3*r**3*(r + 1)*(r + 2)
Let h(z) be the third derivative of -z**7/42 + 7*z**6/4 + 923*z**5/12 + 970*z**4 + 9440*z**3/3 - 2951*z**2. Solve h(a) = 0.
-8, -1, 59
Let u(q) be the second derivative of 2*q**3 + 0 - 11/12*q**4 + 3/20*q**5 - 2*q**2 + 11*q. Factor u(c).
(c - 2)*(c - 1)*(3*c - 2)
Let j(i) = -i**2. Let x(t) = -t**2 - 54*t + 264. Let n(s) = 2*j(s) + x(s). Let n(k) = 0. What is k?
-22, 4
Let d(f) be the second derivative of -4 + 1/14*f**4 - 9/140*f**5 + 1/14*f**3 + 0*f**2 - 2*f. Factor d(l).
-3*l*(l - 1)*(3*l + 1)/7
Let f be (-3)/(-5)*(6 + (-134)/(-7) + -23). Suppose 132/7*l + 12 + f*l**2 = 0. Calculate l.
-14, -2/3
Let s(w) be the third derivative of w**6/160 - w**5/8 + 29*w**4/32 - 5*w**3/2 + 1551*w**2. Find m, given that s(m) = 0.
1, 4, 5
Let p be 31*(24 - 3572/(-329)). Factor -1922/7 - 8/7*c**3 + 494/7*c**2 - p*c.
-2*(c - 31)**2*(4*c + 1)/7
Let q(j) be the third derivative of -j**2 - 7/150*j**5 + 0*j**3 + 1/100*j**6 - 1/3360*j**8 + 1/15*j**4 + 93 + 1/2100*j**7 + 0*j. Solve q(z) = 0 for z.
-4, 0, 1, 2
Let w(x) be the third derivative of -11*x**7/70 + 31*x**6/40 - 9*x**5/20 - 31*x**4/8 + 10*x**3 - 37*x**2. Let w(v) = 0. Calculate v.
-1, 1, 20/11
Let i = 151 - 133. Let z be (12/i*(-6)/(-20))/1. Solve 0*g - 2/5*g**2 - z*g**5 + 0*g**4 + 0 + 3/5*g**3 = 0.
-2, 0, 1
Let u(k) = -8*k**2 + 82699*k - 68475625. Let n(w) = -3*w**2 + 33079*w - 27390250. Let a(l) = 17*n(l) - 7*u(l). Factor a(f).
5*(f - 1655)**2
Suppose 9 - 3 = 3*a. Let v(k) = -195*k + 151*k - 44 - 6 - 3*k**2 + 66*k. Let i(c) = -3*c**2 + 21*c - 51. Let j(d) = a*i(d) - 3*v(d). Factor j(l).
3*(l - 4)**2
Suppose 5*n - 419 + 334 = 0. Suppose -4*w + 3*h = 0, n*w - 14*w = -2*h + 17. Factor 0*o - 2/7*o**w + 1/7*o**4 + 0 + 1/7*o**2.
o**2*(o - 1)**2/7
Let d(n) be the second derivative of -n**6/270 - n**5/180 + n**4/18 + 2*n**3/27 - 4*n**2/9 - 986*n. Determine v so that d(v) = 0.
-2, 1, 2
Let a(q) be the second derivative of -q**5/30 - 62*q**4 - 743*q**3/3 - 1114*q**2/3 + 164*q - 2. Determine v so that a(v) = 0.
-1114, -1
Suppose 1422 = -7*t + 1534. Let c(y) = -y**3 + 15*y**2 + 17*y - 14. Let z be c(t). Factor 1/5*f**z + 1/5*f**3 - 12/5 - 8/5*f.
(f - 3)*(f + 2)**2/5
Let i(m) be the second derivative of -m**4/6 - 152*m**3/3 + 1793*m**2 + 7*m - 396. Factor i(g).
-2*(g - 11)*(g + 163)
Let t(h) be the first derivative of 0*h + 20 - 4/9*h**2 + 5/18*h**4 + 16/27*h**3. Factor t(r).
2*r*(r + 2)*(5*r - 2)/9
Let d = -28 - -40. Suppose -j = -0*j + 3, -p - 7 = 3*j. What is q in 40*q**p + 5*q**4 + 14*q + 6*q + d*q**3 + 13*q**3 = 0?
-2, -1, 0
Let m = -117 - -181. Suppose m*a = 68*a - 16. Determine q so that 15*q**3 + 6 - 4 + 9*q**2 + 1 + 0*q - 12*q**a - 15*q = 0.
-1, 1/4, 1
Suppose -14/19*r**2 - 132/19 + 94/19*r = 0. Calculate r.
2, 33/7
Let i(g) = g**2 + 108*g + 709. Let o be i(-7). Factor 3/5*f**o - 3 + 12/5*f.
3*(f - 1)*(f + 5)/5
Let q(k) = 7*k**3 - 16*k**2 + 67*k + 726. Let o(i) = -2*i**3 - 14*i. Let r(b) = -12*o(b) - 3*q(b). Find t, given that r(t) = 0.
-11, 6
Let g(y) = -14 - 5*y**2 + 4*y**3 - 3*y**3 + 12*y - 15*y + 0*y**2. Let f be g(6). Find u, given that -f*u**2 - 3*u**2 - 28*u**3 - u**2 = 0.
-2/7, 0
Let j(l) be the first derivative of -2*l**5/5 + 35*l**4 + 290*l**3/3 - 70*l**2 - 288*l - 461. Suppose j(t) = 0. What is t?
-2, -1, 1, 72
Find q, given that 63*q + 3009 + 57*q**2 + 9*q**2 + 3*q**3 - 3009 = 0.
-21, -1, 0
Let m = 9 - -68. Let p = m + -74. Factor 3*i**2 - p*i**3 - 13*i**2 + 34*i**2.
-3*i**2*(i - 8)
Let v(c) be the third derivative of -1/80*c**6 + 29/420*c**7 + 3/224*c**8 + 0 - 14*c**2 - 1/8*c**4 - 29/120*c**5 + 0*c**3 + c. Let v(k) = 0. What is k?
-3, -1, -2/9, 0, 1
Let d(a) = 3*a**4 + a**3 + 8*a**2 - a**3 + 13*a**3 + a + 3*a**4. Let v(g) = -7*g**4 - 14*g**3 - 7*g**2. Let u(f) = 6*d(f) + 5*v(f). Factor u(j).
j*(j + 1)**2*(j + 6)
Factor -380/7*i**2 + 384/7*i + 0 - 4/7*i**3.
-4*i*(i - 1)*(i + 96)/7
Let v = -604 + 604. Let n(m) be the third derivative of -1/126*m**4 - m**2 + 1/2205*m**7 + v*m + 1/630*m**6 + 0*m**3 + 0 - 1/630*m**5. Factor n(j).
2*j*(j - 1)*(j + 1)*(j + 2)/21
Let y(d) = -9*d - 17. Let p be y(-5). Suppose p*z = 24*z + 8. Factor -11*s**4 + 4*s**2 - 2*s**2 - 8*s**5 + 2*s**z - s**4.
-4*s**2*(s + 1)**2*(2*s - 1)
Let t be (-4557)/882 - (-3)/9*-1 - -7. Factor x - 1/2*x**2 + t.
-(x - 3)*(x + 1)/2
Let o(a) be the third derivative of a**