+ 3*m**2 - 1404 + m**2 - 15208*m.
4*(m - 1)*(m + 351)
Let g be ((-2 - -1) + 3)*3/(-2). Let d be (3/12)/(0 - g/24). Solve -135 + 4 + 23 - 3*u**d - 36*u = 0 for u.
-6
Let a(r) = -r**2 + 22*r - 38. Let b be a(20). Let q = -7210 - -7210. Find n, given that 0 + 1/4*n**3 + q*n - 1/4*n**b = 0.
0, 1
Let f be 21/155 + 8976/744 + -12. Factor 0*t + f - 1/5*t**2.
-(t - 1)*(t + 1)/5
Let d = -46199/3 + 15404. Let a(z) be the second derivative of 28*z + 0 + d*z**3 + 1/12*z**4 + 169/2*z**2. Determine y so that a(y) = 0.
-13
Find a, given that 2/5*a**2 - 2/3*a + 6/5*a**3 + 0 - 14/15*a**4 = 0.
-5/7, 0, 1
Determine i so that -108*i**4 + 152*i**2 - 6008*i + 2044*i**3 + 6008*i = 0.
-2/27, 0, 19
Let w be -8 - 175/(-21) - 132/(-9). Let u(j) = -9*j + 137. Let z be u(w). Factor 0 - 1/2*f**z + 1/2*f**4 - 1/2*f + 1/2*f**3.
f*(f - 1)*(f + 1)**2/2
Let p(q) = 17*q + 20. Let j be p(-1). Let n(u) be the second derivative of -1/6*u**4 + 2*u**2 + 1/3*u**j + 13*u + 0. Factor n(s).
-2*(s - 2)*(s + 1)
Let q = -31251327 + 656458213/21. Let s = q + -8586. Factor -2/21*r**2 + s*r - 200/21.
-2*(r - 10)**2/21
Suppose -6*l - 24 = -36. Suppose -3*d - 4*o = o - 25, -l*o = 5*d - 10. Determine i so that d + 0*i**4 - 3/2*i**3 + 0*i + 3/2*i**5 + 0*i**2 = 0.
-1, 0, 1
Let y be (3 - (-28)/16) + 3/(-4). Suppose -10 = -2*p, -5*n = -p - y*p. Determine i so that 0*i + 11*i**2 - 2*i**4 + i**n - 3*i**2 - 6*i**2 - i = 0.
-1, 0, 1
Find k, given that -515/3*k**2 - 2420/9 - 2/3*k**4 + 4928/3*k - 233/9*k**3 = 0.
-22, 1/6, 5
Let t(s) be the first derivative of 3*s**5/10 - 9*s**4/8 + 3*s**3/2 - 3*s**2/4 + 997. Factor t(q).
3*q*(q - 1)**3/2
Let y(l) be the third derivative of 17*l**5/540 + 23*l**4/216 + l**3/9 - 2*l**2 - 618*l - 2. Let y(h) = 0. Calculate h.
-1, -6/17
Suppose 43*w + 479 = 113*a - 111*a, -61 = -2*a + 5*w. Factor 12/7*t**2 + 2*t - 2/7*t**a + 0.
-2*t*(t - 7)*(t + 1)/7
Let d(h) be the second derivative of -h**4/42 + 248*h**3/21 - 105*h**2 + 10*h + 79. What is v in d(v) = 0?
3, 245
Find x such that -2592/7 - x**5 + 1648/7*x**2 + 8784/7*x - 250/7*x**4 - 2168/7*x**3 = 0.
-18, -2, 2/7, 2
Let k(n) be the first derivative of n**6/1080 + n**5/45 + 5*n**4/24 - 10*n**3/3 - 34. Let p(q) be the third derivative of k(q). Factor p(s).
(s + 3)*(s + 5)/3
Let o(y) be the second derivative of -5*y**4/12 - 225*y**3 + 4095*y**2/2 - 6350*y. Factor o(w).
-5*(w - 3)*(w + 273)
Let k(x) = -4*x**2 + 55*x - 256. Let c(j) = -j**2 + 14*j - 64. Suppose 0 = -24*q + 38 + 10. Let m(u) = q*k(u) - 9*c(u). Factor m(i).
(i - 8)**2
Let u be 3*((-952)/(-105) + (-6)/15). Factor -u*x**4 - 8*x**2 + 31*x**4 - 6*x**3 + 7*x - 3*x - x**3.
x*(x - 2)*(x + 1)*(5*x - 2)
Suppose 34*n - 2*r = 38*n - 31208, -3*n + 5*r = -23419. Solve -54*q**2 + n*q + q**3 - 132651 - 49*q**2 - 50*q**2 = 0 for q.
51
Determine u so that -7/3*u**4 - 8/3*u**2 + 16/3 + 16/3*u - 16/3*u**3 - 1/3*u**5 = 0.
-2, 1
Suppose 5*a - 12240 = -12230. Factor 1/4*z**a + 13/2 + 15/4*z.
(z + 2)*(z + 13)/4
Let h(k) be the second derivative of k**6/30 - 139*k**5/30 + 727*k**4/36 - 316*k**3/9 + 30*k**2 - 585*k. Suppose h(y) = 0. Calculate y.
2/3, 1, 90
Let f(y) be the first derivative of y**3/4 + 345*y**2/8 + 171*y/2 - 513. Factor f(r).
3*(r + 1)*(r + 114)/4
Let k(r) = -33*r**2 + 36*r. Let h(z) = z**3 + 35*z**2 - 38*z. Let s be -1 + (2 - 5)/(-1). Let f(g) = s*k(g) + 3*h(g). Let f(x) = 0. What is x?
-14, 0, 1
Factor -1642 + 0*v**3 + 0*v**3 - 2*v**3 - 4264*v - 1072*v**2 + 0*v**3 - 2614.
-2*(v + 2)**2*(v + 532)
Let r(j) be the third derivative of -j**8/30240 + j**7/2520 - 73*j**5/60 - 3*j**2 + 9*j. Let i(o) be the third derivative of r(o). Factor i(x).
-2*x*(x - 3)/3
Let h be 3 - (270/14 + 4/(-14)). Let c(a) = 2*a + 36. Let j be c(h). Factor -j*f**2 - 3*f**3 - 2*f - 5*f**2 + 4*f**2.
-f*(f + 1)*(3*f + 2)
Let h(x) be the second derivative of -1/90*x**6 + 0*x**4 - 1/40*x**5 + 0*x**2 - 5/6*x**3 + 0 - 6*x. Let f(y) be the second derivative of h(y). Factor f(u).
-u*(4*u + 3)
Let z(c) be the second derivative of c**4/8 - 641*c**3/12 - 107*c**2/2 - 5711*c. Factor z(b).
(b - 214)*(3*b + 1)/2
Let m = -26375 + 26379. Solve -320/3*w + 80/3*w**2 - 40/3*w**m - 256/3 + 4/3*w**5 + 100/3*w**3 = 0 for w.
-1, 4
Suppose 2*y + 2 = 0, -y - 349 = -t - 3*t. Factor 197*k**2 - 195*k**2 - t*k + 3042 - 69*k.
2*(k - 39)**2
Factor -12071*z**3 + 525*z**2 + 21187 - 14535*z + 4036 + 13792 + 12066*z**3.
-5*(z - 51)**2*(z - 3)
Let q(m) be the second derivative of m**4/12 + 286*m**3 + 7*m - 78. Factor q(g).
g*(g + 1716)
Let f(z) be the third derivative of -z**8/3920 - z**7/196 - 217*z**3/6 - 40*z**2 + 3*z. Let w(l) be the first derivative of f(l). Factor w(q).
-3*q**3*(q + 10)/7
Suppose -3*t + 5*j - 189 = 0, -4*t - j = 281 - 6. Let n = 212/3 + t. Suppose 26/9*h**3 + n*h**2 + 0 + 2/9*h**5 + 4/3*h**4 + 8/9*h = 0. Calculate h.
-2, -1, 0
Let x be 11*1 - (0 + -1). Let h = 901 + -899. Factor 5*k - 2*k**h + k + 14*k - 10*k - x.
-2*(k - 3)*(k - 2)
Let w(z) be the second derivative of 137*z - 1/24*z**4 + 0*z**2 + 1/12*z**3 + 0. Let w(c) = 0. Calculate c.
0, 1
Let i(z) be the third derivative of -z**8/80640 + 11*z**7/5040 - 121*z**6/720 + 21*z**5/20 - 13*z**2. Let h(p) be the third derivative of i(p). Factor h(t).
-(t - 22)**2/4
What is l in -1/5*l**2 - 50 + 127/5*l = 0?
2, 125
Let i(f) be the first derivative of -3*f**3 + 240 + 177/2*f**2 + 60*f. Factor i(v).
-3*(v - 20)*(3*v + 1)
Let p(h) be the third derivative of h**7/525 - h**6/60 + h**5/25 - 6*h**2 + 27*h - 3. Factor p(o).
2*o**2*(o - 3)*(o - 2)/5
Let i(f) be the second derivative of 0*f**2 - 1/8*f**4 + 20*f + 1/20*f**6 + 0 + f**3 - 3/10*f**5. Factor i(q).
3*q*(q - 4)*(q - 1)*(q + 1)/2
Suppose -5*l - 9 = 6. Let n(m) = 2*m + 9. Let v be n(l). Determine i so that -48 - 6*i - 2*i - v*i**2 - 16*i = 0.
-4
Solve -9*f**3 - 100 - 2567*f - 906*f**2 - 2667*f + 4633*f = 0.
-100, -1/3
Solve 38392/7*q**3 + 772/7*q**4 + 110584/7*q**2 + 36100/7 + 4/7*q**5 + 15580*q = 0 for q.
-95, -1
Let f(k) be the first derivative of -k**8/448 + k**7/56 - 7*k**6/160 + 3*k**5/80 - 4*k**2 - 4*k - 63. Let p(x) be the second derivative of f(x). Factor p(w).
-3*w**2*(w - 3)*(w - 1)**2/4
Let v be (-2)/15*-51 + -3 + (-130)/(-650). Determine n, given that -1/7*n**v - 5/7*n**2 - 4/7*n**3 + 0 - 2/7*n = 0.
-2, -1, 0
Let b(z) be the third derivative of 2/15*z**5 - 4*z**2 + 1/84*z**8 + 23 + 2/3*z**3 - 1/2*z**4 - 2/35*z**7 + 0*z + 1/15*z**6. Factor b(y).
4*(y - 1)**4*(y + 1)
Factor 0*f - 302/3*f**2 + 2/3*f**3 + 0.
2*f**2*(f - 151)/3
Factor 447/2*i + 223/2 + i**2.
(i + 223)*(2*i + 1)/2
Let o(u) be the second derivative of -u**6/120 + 41*u**5/80 - 475*u**4/48 + 361*u**3/8 + 383*u + 3. Factor o(n).
-n*(n - 19)**2*(n - 3)/4
Let d(q) be the second derivative of 15*q**7/14 - 103*q**6/5 + 147*q**5/2 - 111*q**4 + 167*q**3/2 - 33*q**2 - 255*q + 1. Let d(z) = 0. Calculate z.
1/3, 2/5, 1, 11
Suppose -35*x - 8 + 48 = -15*x. Let h(u) be the second derivative of -21*u + 0 + 1/30*u**4 + 1/15*u**3 - 6/5*u**x. Factor h(r).
2*(r - 2)*(r + 3)/5
Let h be 1/7 - (-9)/(-63). Let o(q) be the third derivative of 1/3*q**4 + 0 - 1/30*q**5 + h*q - 15*q**2 - q**3. Let o(p) = 0. What is p?
1, 3
Suppose 168 = -17*j + 9*j. Let w = -17 - j. What is s in 9*s**2 - 20 + 5*s**2 + w*s - 4*s**3 + 6*s**2 = 0?
-1, 1, 5
Let d(m) = 13*m + 177. Let b be d(-13). Let a be (-1)/(1071/(-364)) + b/(-36). Factor 250/17 + 150/17*u + a*u**3 + 30/17*u**2.
2*(u + 5)**3/17
Let l = 241/32 - -55597/96. Let t = -586 + l. Factor -4/3 - t*m + 2/3*m**2.
2*(m - 2)*(m + 1)/3
Let w(j) be the third derivative of 100/3*j**3 - 5/3*j**4 + 1/30*j**5 + 0 + 0*j + 26*j**2. Determine a so that w(a) = 0.
10
Let l be (292 - 199)/(0 - -7) - 13. Factor -l*w**3 + 0 + 16/7*w + 2*w**2.
-2*w*(w - 8)*(w + 1)/7
Let q(h) be the third derivative of -h**5/60 - 113*h**4/32 - 331*h**3/12 + 2489*h**2. Factor q(c).
-(c + 2)*(4*c + 331)/4
Let l(v) be the second derivative of -10*v**4/27 + 121*v**3/27 - 2*v**2/3 - 2035*v. Factor l(d).
-2*(d - 6)*(20*d - 1)/9
Let f(c) be the third derivative of c**8/56 - 19*c**7/70 - 117*c**6/40 - 63*c**5/10 - 10*c**2 - 100. Suppose f(g) = 0. Calculate g.
-3, -3/2, 0, 14
Let h be (-111 + -28 + 137)/(2/(-4) - 0). Factor 4/5*r - 4/5*r**2 - 4/5*r**3 + 4/5*r**h + 0.
4*r*(r - 1)**2*(r + 1)/5
Factor -242/9*u + 1/3*u**2 + 239/9.
(u - 1)*(3*u - 239)/9
Let d = -37160 - -37160. Factor 