d) be the third derivative of d**5/60 - d**4/24 - d**3/6 - d**2 + 4*d. Let y(j) = -6*m(j) - p(j). Factor y(k).
(k - 30)**2
Let i be 3/((-45)/2) - 4312/60. Let p be 3/i*-14*(-64)/(-24). Factor -74/9*h - p*h**2 - 20/9.
-2*(h + 5)*(7*h + 2)/9
Suppose -360 - 3348 = -18*j. Factor j - 7*y**2 - 206 - 5*y**3 + 40*y - 3*y**2.
-5*y*(y - 2)*(y + 4)
Let q be 6 + (-5)/(-40)*8. Let c(b) = -b**3 + 8*b**2 - 14*b + 52. Let r be c(q). Find x such that 10/3*x**2 + 2/3*x**r + 2*x - 6 = 0.
-3, 1
What is u in -496/3*u - 490/3*u**2 + 328 + 2/3*u**3 = 0?
-2, 1, 246
Let y(a) = -1531*a + 87269. Let r be y(57). Solve 0 + 7/6*p - 1/6*p**r = 0 for p.
0, 7
Let f(k) be the third derivative of 0*k**3 + 0 + 0*k**7 + 0*k**4 + 0*k + 3/160*k**6 + 1/40*k**5 + 48*k**2 - 1/448*k**8. Find d such that f(d) = 0.
-1, 0, 2
Let o(t) be the third derivative of -t**8/420 + 64*t**7/105 - 3277*t**6/75 + 12008*t**5/75 + 6241*t**4/10 - 7*t**2 + t + 5. Determine c, given that o(c) = 0.
-1, 0, 3, 79
Let i be (1 - -7) + (72 - 77). Factor -5*p**2 - 15*p**2 - 2120*p**5 - 65*p**4 + 2105*p**5 - 80*p**i.
-5*p**2*(p + 2)**2*(3*p + 1)
Let g be 4266/495 + 56/(-7). Let f = 2/11 + g. Solve 4/5*y**4 + 4/5 - 8/5*y**2 - f*y + 8/5*y**3 - 4/5*y**5 = 0.
-1, 1
Let j(s) be the first derivative of s**6/9 - 16*s**5/15 - 15*s**4/2 - 80*s**3/9 + 44*s**2/3 + 32*s + 1488. Find q, given that j(q) = 0.
-2, -1, 1, 12
Let o(f) be the third derivative of -48*f**2 - 35/18*f**4 + 0 - 11/90*f**5 - 100/9*f**3 + 0*f - 1/360*f**6. Factor o(k).
-(k + 2)*(k + 10)**2/3
Let z(p) be the first derivative of -p**3/3 - 91*p**2/2 - 348*p - 1283. Factor z(c).
-(c + 4)*(c + 87)
Let c(u) be the second derivative of -u**4/24 + 35*u**3/2 + 106*u**2 - 17*u + 3. Factor c(l).
-(l - 212)*(l + 2)/2
Let s = -410 - -412. Factor -39 - 76*k**s - 35 + 72*k**2 + 128*k + 22*k.
-2*(k - 37)*(2*k - 1)
Suppose -5*n = -4*i - 22, 5*n + 10*i - 6*i + 2 = 0. Factor u**n + u**2 + 41*u + 54*u - 39*u + 392.
2*(u + 14)**2
Let m be 1/((-384)/(-6 - 6)). Let c(j) be the third derivative of 1/12*j**3 + 1/240*j**5 + m*j**4 + 19*j**2 + 0*j + 0. Factor c(s).
(s + 1)*(s + 2)/4
Let d be 1 + -1 + (3 - 1 - -1). Let h be -6*3/(-54) - (-44)/d. Determine j so that 5*j**5 - 6*j**4 + h*j**4 - j**4 + 2*j**4 = 0.
-2, 0
Let m = 566 + -256. Let b = 312 - m. Factor -1/3*y**2 + b*y - 3.
-(y - 3)**2/3
Suppose 12 + 12 = 4*x. Let j(u) = u**3 + 12*u**2 - u - 5. Let h be j(-12). Find b, given that -h + 2*b**2 + 32*b - x*b**2 - 57 = 0.
4
Let i(c) be the first derivative of 1/18*c**3 + 1/3*c**2 - 5/6*c - 4. Factor i(k).
(k - 1)*(k + 5)/6
Let r(w) be the first derivative of -2*w**5/25 - 6*w**4/5 - 26*w**3/5 - 8*w**2/5 + 24*w - 267. Suppose r(j) = 0. Calculate j.
-6, -5, -2, 1
Let d be ((-16)/(-4) - 428) + -2. Let n = d - -428. Factor 18*o**n + 8/13 + 162/13*o**3 + 80/13*o.
2*(o + 1)*(9*o + 2)**2/13
Suppose 31 - 5/2*i**3 - 1237/4*i**2 + 373/4*i = 0. What is i?
-124, -1/5, 1/2
Factor 4/3 + 19*l**2 - 26/3*l + 25/6*l**4 - 95/6*l**3.
(l - 2)*(l - 1)*(5*l - 2)**2/6
Let t(x) = -6*x**2 + 558*x - 2133. Let d be t(89). Let 1/4*m**d + 2*m**4 + 5/4*m**5 - 1/2*m**2 + 0*m + 0 = 0. What is m?
-1, 0, 2/5
Let p(z) be the third derivative of -z**7/70 - 9*z**6/40 - 7*z**5/20 + 9*z**4/8 + 4*z**3 + 20*z**2 - 31*z. Determine h so that p(h) = 0.
-8, -1, 1
Let o(b) be the first derivative of 715/2*b**2 + 125/6*b**3 + 294 - 1690*b + 5/16*b**4. Let o(z) = 0. Calculate z.
-26, 2
Let b(r) be the second derivative of r**6/6 + 3*r**5 - 5*r**4/12 - 10*r**3 + r - 777. Factor b(i).
5*i*(i - 1)*(i + 1)*(i + 12)
Suppose -5*c - s = -6, -4 = 2*c + 2*s - 0*s. Let z = 31981 + -31979. Find r, given that -24/5*r + 8/5 + c*r**z = 0.
2/5, 2
Let z be 6 + ((-1)/(-4))/((-546)/12320). Let q(j) be the first derivative of -z*j**3 + 12/13*j - 19/13*j**2 + 6. Factor q(m).
-2*(m + 3)*(7*m - 2)/13
Let g(l) = 4 - 1 - 487*l + 487*l - 8*l**2 - l**3. Let w(z) = 2*z**3 + 8*z**2 - 4. Let a(y) = 4*g(y) + 3*w(y). Factor a(q).
2*q**2*(q - 4)
Let n = -373 - -856. Let d be (-2)/21*n/(-207). Suppose d*g**3 + 0*g - 14/9*g**2 + 0 = 0. What is g?
0, 7
Suppose 0 = 2*n - 4*w + 6 + 2, 3*n - w + 2 = 0. Suppose -3*h = -n*h - 6. Factor 5 + 0*b + 1 + 3*b**h - 15*b + 6*b.
3*(b - 2)*(b - 1)
Let y(c) = -2*c**2 + 362*c - 1372. Let b(h) = 4*h**2 - 725*h + 2737. Let n(i) = 4*b(i) + 9*y(i). What is s in n(s) = 0?
4, 175
Factor -5*l**3 - 1/3*l**4 - 10 + l**2 + 43/3*l.
-(l - 1)**2*(l + 2)*(l + 15)/3
Let y(v) be the first derivative of 2*v**2 + 1/18*v**6 - 16/3*v - 13/12*v**4 + 0*v**5 - 83 + 16/9*v**3. Find t, given that y(t) = 0.
-4, -1, 1, 2
Let k = 8682 + -8682. Let c(x) be the third derivative of 1/480*x**6 - 1/120*x**5 + 1/12*x**3 + 7*x**2 + k + 0*x - 1/96*x**4. Let c(h) = 0. Calculate h.
-1, 1, 2
Let j(k) be the third derivative of k**6/72 - 13*k**5/36 - 5*k**4/72 + 65*k**3/18 - 1349*k**2. Let j(a) = 0. What is a?
-1, 1, 13
Suppose 0 = 3*b - 30 - 570. Let r(i) = i**3 - 35*i**2 + 97*i - 17. Let g be r(32). Find p such that -g - 30*p**2 + 404*p**4 - 199*p**4 - 40*p - b*p**4 = 0.
-1, 3
Suppose 0 = -2*d + 72 - 68. Let g = d - -3/2. Factor 5/2*k**3 + g*k + 9/2*k**2 + 1/2*k**4 + 1.
(k + 1)**3*(k + 2)/2
Suppose -4*f + 95 = -5*x, -6*x + 2*x = -3*f + 71. Suppose 34*s - f*s - 270 = 0. Solve -40/3*u**2 - s - 5/3*u**3 - 35*u = 0 for u.
-3, -2
Let n(f) = -5*f**3 + 43*f**2 + 89*f + 47. Let i(g) be the first derivative of g**4 - 14*g**3 - 44*g**2 - 46*g - 141. Let k(l) = -3*i(l) - 2*n(l). Factor k(j).
-2*(j - 22)*(j + 1)**2
Let a = 18777 + -18772. Let t(q) be the first derivative of 0*q + 18/7*q**2 - 8/7*q**4 - 43 + 6/35*q**a + 10/7*q**3. Determine f, given that t(f) = 0.
-2/3, 0, 3
Suppose -2*j - 4*v - 68 = -4, 0 = -4*j - 4*v - 144. Let n be (-12)/j - (-13)/65. Determine a so that -n*a + 0 - 1/4*a**2 = 0.
-2, 0
Let t be ((7 - 4) + -1)*(5 + -7 + 15/5). Factor 15/4*m**t - 6 + 9/4*m.
3*(m - 1)*(5*m + 8)/4
Let d(n) be the third derivative of -1/24*n**6 - 63*n - 25/8*n**4 + 0 + 7/12*n**5 + 15/2*n**3 + n**2. Determine x, given that d(x) = 0.
1, 3
Let j be 282*(-8)/576 - (-4 - 0). Let g(c) be the third derivative of 0*c + 2*c**2 + 0 + 1/8*c**4 + 3/40*c**5 + 1/60*c**6 + j*c**3. Suppose g(t) = 0. What is t?
-1, -1/4
Let q(c) be the second derivative of 0*c**2 + 0 + 1/4*c**5 - 7/12*c**4 - 1/3*c**3 - 9*c + 2/15*c**6. Factor q(a).
a*(a - 1)*(a + 2)*(4*a + 1)
Let m(g) be the third derivative of g**5/120 - 113*g**4/48 + 45*g**3 + 1667*g**2. Determine r so that m(r) = 0.
5, 108
Let x = -1778 - -53341/30. Let d(r) be the third derivative of 2/105*r**7 + 0*r - 4/3*r**3 + 5/6*r**4 + 3*r**2 - 1/5*r**5 - x*r**6 + 0. Factor d(z).
4*(z - 1)**3*(z + 2)
Let v(u) be the second derivative of -2*u**6/33 - 103*u**5/110 + 140*u**4/11 - 393*u**3/11 - 432*u**2/11 - 6584*u. Solve v(j) = 0.
-16, -3/10, 3
Let u(c) be the second derivative of -c**6/240 - 3*c**5/16 - 7*c**4/24 + 5*c**3/8 + 29*c**2/16 - 172*c - 17. Let u(j) = 0. What is j?
-29, -1, 1
Let f(r) be the second derivative of 0*r**3 + 0 - 1/120*r**6 + 1/24*r**4 - 1/8*r**2 + 0*r**5 - 80*r. Let f(x) = 0. Calculate x.
-1, 1
Suppose -36*t + 3982 + 1094 = 0. Factor -21*h**3 + 119*h**2 + 17 + 112*h**2 + 7 - 54*h - 39*h**2 - t*h.
-3*(h - 8)*(h - 1)*(7*h - 1)
Let j be (-47640)/(-5775) + 134/3685. Factor 40/7 + 20/7*p**2 - 2/7*p**3 - j*p.
-2*(p - 5)*(p - 4)*(p - 1)/7
Determine k, given that -38*k**3 - 135*k**3 - 35*k - 94*k + 2*k**5 + 229*k**2 + 26 - 2832*k**4 + 2877*k**4 = 0.
-26, 1/2, 1
Factor -58482/7 - 2/7*g**2 - 684/7*g.
-2*(g + 171)**2/7
Let g be 252/(-49) - 8576/(-938). Find s such that 14/5*s**3 - 4/5*s**g - 3/5*s + 0 - 4/5*s**2 - 3/5*s**5 = 0.
-3, -1/3, 0, 1
Let p(s) = 2*s**2 - 2. Let n(k) be the second derivative of k**4/12 + 23*k**3/3 - 47*k**2/2 + 215*k. Let b(a) = -2*n(a) + 2*p(a). Let b(z) = 0. What is z?
1, 45
Let o(v) = v**4 + 308*v**3 - 305*v**2 - 4*v - 4. Let t(r) = -6*r**4 - 1233*r**3 + 1221*r**2 + 18*r + 18. Let i(c) = 9*o(c) + 2*t(c). Factor i(p).
-3*p**2*(p - 101)*(p - 1)
Let j = 141815/3 + -46706. Let v = 566 - j. Let v*n**3 - 1/3*n + 7/6*n**4 - 7/6*n**2 + 0 = 0. What is n?
-1, -2/7, 0, 1
Factor 22 - 10*f + 2*f**2 + 9*f - 16 - 27*f + 42.
2*(f - 12)*(f - 2)
Find j, given that 39/2*j**4 + 0*j + 0*j**2 + 459/4*j**3 + 0 + 3/4*j**5 = 0.
-17, -9, 0
Let u(f) be the first derivative of -4/9*f**3 + 0*f**2 + 0*f + 1/2*f**4 - 52 - 2/15*f**5. Factor u(b).
-2