 23*k**4 + 326*k**3 + 25564*k**2 + 120356*k. Let c(f) = -2*f**4 - f**3 + f**2 - 21*f. Let m(b) = 22*c(b) + 2*v(b). Find o such that m(o) = 0.
-155, -5, 0
Factor 0 + 0*u - 600/13*u**2 + 320/13*u**3 - 46/13*u**4 + 2/13*u**5.
2*u**2*(u - 10)**2*(u - 3)/13
Let d be (15476/23850 + 8/(-9))/(12/(-20)). Find m, given that -d*m**3 + 2/5*m + 0 - 2/5*m**4 + 2/5*m**2 = 0.
-1, 0, 1
Let b(o) be the third derivative of -93*o**2 + 1/60*o**5 + 0*o + 0*o**3 - 17/24*o**4 + 0. Find d, given that b(d) = 0.
0, 17
Let b(a) = -82*a**3 - 517*a**2 - 495*a - 77. Let h(i) = 28*i**3 + 172*i**2 + 164*i + 26. Let l(q) = -6*b(q) - 17*h(q). Determine j so that l(j) = 0.
-10, -1, -1/8
Factor -198*z + 987/5 + 3/5*z**2.
3*(z - 329)*(z - 1)/5
Let k(i) = -i**3 - 10*i**2 + i + 10. Let g be k(-10). Suppose -23*c + 2*c**3 + 8*c - 8*c**2 + g*c - 9*c = 0. What is c?
-2, 0, 6
Suppose 0*r - 4*r - c = -19743, 4*c = 4*r - 19748. Let -3*n**2 - n**4 - 4935*n + 3*n**3 - 4 + r*n + 4 = 0. Calculate n.
0, 1
Let j(s) be the second derivative of -s**5/70 - s**4/3 + 5*s**3/3 + 48*s**2/7 - 6602*s. Factor j(a).
-2*(a - 3)*(a + 1)*(a + 16)/7
Let l be (-1118)/(-8)*(161 - 165). Let j = -557 - l. Factor -2/3*p**j + 2*p + 8/3.
-2*(p - 4)*(p + 1)/3
Let h(u) = u + 4*u**3 + 6*u**2 - 2*u**3 - 1 - 3*u**3. Let o be h(6). Factor 38*r**3 + 41*r**3 - 69*r**3 - 5*r**o - 5*r.
-5*r*(r - 1)**2*(r + 1)**2
Let b = -817 + 814. Let u be (333/296)/(b/(-4)). Factor 150 + u*o**2 + 30*o.
3*(o + 10)**2/2
Let f(i) be the first derivative of i**3 + 92 + 24*i - 27/2*i**2. Solve f(l) = 0.
1, 8
Factor -3608/5*z**2 + 260642/5 + z**3 + 650161/5*z.
(z - 361)**2*(5*z + 2)/5
Let f = -1/623 - -51/89. Suppose 244*d - 77*d - 501 = 0. Solve -f - 1/7*a**d + a - 2/7*a**2 = 0 for a.
-4, 1
Let g = 2569/633 - 364/211. Suppose 11*h**3 - g*h**4 - 46/3*h**2 + 4*h + 8/3 = 0. Calculate h.
-2/7, 1, 2
Suppose -2*f + 2*s = -14, f + 9*s - 11*s = 12. Let u(n) be the third derivative of 19*n**2 + 0*n + f*n**3 + 0 - 1/3*n**4 - 1/15*n**5. What is y in u(y) = 0?
-3, 1
Let d = -219 - -950. Let t = d - 731. Factor 4/7*n + t + 2/7*n**2.
2*n*(n + 2)/7
Let c(t) be the first derivative of t**3 - 268 - 1/2*t**2 + 1/4*t**4 + 0*t - 3/5*t**5. Factor c(a).
-a*(a - 1)*(a + 1)*(3*a - 1)
Let j be (15/(-9))/((-2)/(-3) + -1). Factor -5*k + j*k**2 - 13*k - 90 - 17*k.
5*(k - 9)*(k + 2)
Factor -44*t - 3 - 22*t**2 + 5 - 10 - 13*t**2 - t**2.
-4*(t + 1)*(9*t + 2)
Let b(n) be the first derivative of -1/10*n**5 - 7/4*n**2 + 13/6*n**3 + 0*n - 50 - 5/8*n**4. Factor b(p).
-p*(p - 1)**2*(p + 7)/2
Let l(o) be the third derivative of 2*o**7/35 - 13*o**6/30 - 4*o**5/15 + 14*o**4/3 + 32*o**3/3 - 2*o**2 + 1220*o. Suppose l(n) = 0. What is n?
-1, -2/3, 2, 4
Let c be (78/20 - 4)/((-276)/184*(-4)/(-15)). Let -c*p**2 + 21/2*p - 441/4 = 0. Calculate p.
21
Let r(c) be the third derivative of 0*c**4 + 0*c**3 - 2*c - 8*c**2 - 1/24*c**6 + 0*c**5 - 1/42*c**7 + 0. Factor r(o).
-5*o**3*(o + 1)
Solve 5832*b - 74*b**3 + 67*b**2 - b**5 - 682*b**3 + 19*b**4 + 905*b**2 + 81*b**4 - 3*b**5 = 0.
-2, 0, 9
Let c = 196 + -168. Factor -c + 16*n**2 - 10*n**2 - 16*n**2 - 27*n + 101*n.
-2*(n - 7)*(5*n - 2)
Factor 0*u - 23/4*u**4 + 0 + 0*u**2 + 1/4*u**5 + 21/2*u**3.
u**3*(u - 21)*(u - 2)/4
Let k = 53 - 50. Suppose y - k*y + 340 = 4*i, 0 = -5*y - 4*i + 874. Solve -4*p**5 + y*p - 178*p = 0 for p.
0
Solve 58/13*a**2 + 6/13*a - 2/13 - 56/13*a**4 - 6/13*a**3 = 0.
-1, -1/4, 1/7, 1
Let u be 4/(-10)*1755/(-54). Suppose 13*o + u = 65. Suppose -1/4*g**o + 0*g - 3/2*g**2 + 7/4*g**3 + 0 = 0. Calculate g.
0, 1, 6
Let m(i) be the first derivative of 44/21*i**3 + 4/7*i**2 - 55 + 0*i + 16/7*i**4 + 4/5*i**5. Factor m(h).
4*h*(h + 1)**2*(7*h + 2)/7
Suppose 3*d + 6 = -w - 2*d, -3*w + 2*d = -50. Factor 15*p**3 + 10*p**2 - 34*p**3 + w*p**3.
-5*p**2*(p - 2)
Let k(a) = -1438*a**2 + a - 3. Let f(w) = -1487*w**2 + 2*w - 4. Let l(o) = -3*f(o) + 4*k(o). Factor l(d).
-d*(1291*d + 2)
Let w(i) be the third derivative of -13*i - 2/3*i**3 - 5/12*i**4 + 0 + 1/10*i**5 + 2*i**2. Suppose w(j) = 0. Calculate j.
-1/3, 2
Factor 630 - 1071*c + 2782*c - 986*c - 929*c - 2*c**2.
-2*(c - 3)*(c + 105)
Let r = 112 + -122. Let i be ((-5776)/20)/(r/25). Determine s, given that i*s**4 + 152*s**3 + 8*s**2 + 4678*s - 4678*s = 0.
-2/19, 0
Let r(t) be the second derivative of t**7/2520 - 23*t**6/360 + 529*t**5/120 - t**4/12 - 5*t**3/3 - 136*t. Let p(l) be the third derivative of r(l). Factor p(u).
(u - 23)**2
Let d be (-15127)/(-35) + 3/30*8. Suppose 155 + d = 49*g. Factor -3/2*t**3 - g - 9*t**2 - 18*t.
-3*(t + 2)**3/2
Let f(a) be the second derivative of 0 + 0*a**4 + 0*a**2 - 1/1800*a**6 - 38*a - 23/6*a**3 - 1/200*a**5. Let m(z) be the second derivative of f(z). Factor m(i).
-i*(i + 3)/5
Let w(r) be the first derivative of 3*r**6/2 - 78*r**5/5 + 99*r**4/2 - 56*r**3 + 9*r**2/2 + 30*r + 738. Find h such that w(h) = 0.
-1/3, 1, 2, 5
Let f = 987/2788 - 11/34. Let l = 1337/820 - f. Solve -4/5*c**4 + 4/5*c + 4/5*c**5 - l*c**3 + 8/5*c**2 - 4/5 = 0.
-1, 1
Let l(z) = 7*z - 791. Let c be l(113). Let k(y) be the third derivative of 0*y**3 + 1/108*y**4 + c*y**5 + 0*y - 1/540*y**6 + 0 - 22*y**2. Factor k(h).
-2*h*(h - 1)*(h + 1)/9
Let f be 20/16 + ((-405)/36 - 5). Let c be ((-13)/(-130))/((-1)/f). Find o such that 3/4*o**3 + 3/2 - c*o**2 - 3/4*o = 0.
-1, 1, 2
Let i(z) = 21*z + 21. Let g be i(-1). Let t be 196/(-35) + g - -6. Factor -14/5 + 16/5*m - t*m**2.
-2*(m - 7)*(m - 1)/5
Let l(c) = 7*c**2 - 88*c + 596. Let x(y) = 13*y**2 - 175*y + 1190. Let v = -75 - -68. Let q(o) = v*l(o) + 4*x(o). Factor q(r).
3*(r - 14)**2
Let i(l) be the first derivative of -4*l**3/9 + 30*l**2 - 800*l/3 + 1764. Determine m so that i(m) = 0.
5, 40
Factor -270 + 190 + 22*y + 6*y + 0*y**2 - 3*y**2 + y**2.
-2*(y - 10)*(y - 4)
Let n be 313224/46748 + (36/198 - 72/638). Let h = 207 - 2683/13. Determine i so that h + 242/13*i**2 + n*i = 0.
-2/11
Determine x so that 1/5*x**3 + 1312*x + 161/5*x**2 + 1280 = 0.
-80, -1
Let c be (-84)/(-15)*1130/3164. Let -188*j**3 + 1344*j + 16/3*j**4 + 4748/3*j**c - 432 = 0. Calculate j.
-1, 1/4, 18
Suppose -104*b + 244 = -43*b. Let r(a) be the first derivative of 6 + 0*a**3 + 0*a - 2/15*a**5 + 0*a**2 - 1/6*a**b. Determine n, given that r(n) = 0.
-1, 0
Determine p so that 162867 + 706*p**2 + 461*p**2 + 97081*p - 3*p**3 - 283*p**2 - 261346*p + 517*p**2 = 0.
1, 233
Factor -27*h**2 + 0 + 21/4*h**3 + 3/8*h**4 + 0*h.
3*h**2*(h - 4)*(h + 18)/8
Let s = -27/2162 + 899635/19458. Let p = 2930/63 - s. Factor 12/7*h**3 + p*h + 0 + 8/7*h**4 + 8/7*h**2 + 2/7*h**5.
2*h*(h + 1)**4/7
Let f(q) be the second derivative of q**5/230 - 19*q**4/46 - 42*q**3/23 + 472*q**2/23 - 284*q - 8. Factor f(n).
2*(n - 59)*(n - 2)*(n + 4)/23
Let q(x) = 11*x**2 - 131*x - 2605. Let k(c) be the second derivative of 5*c**4/12 - 11*c**3 - 651*c**2 - 38*c - 1. Let u(b) = -13*k(b) + 6*q(b). Factor u(t).
(t + 36)**2
Suppose 325 - 199 = 695*k - 1264. Factor 0 - 17/5*v - 1/5*v**k.
-v*(v + 17)/5
Let o(j) = j**2 - 19*j + 91. Let l be o(11). Let n(r) = 2*r**2 + 5*r + 2. Let v be n(-3). What is c in -11*c + 12*c**2 - v*c + 3 - l*c**3 + c + 3 = 0?
1, 2
Let r(o) = 4*o**2 + 19*o + 15. Let j be r(-4). Solve -11 + 22 - 98*v**2 + 43 + 702*v + 3140*v**2 + 4394*v**j = 0.
-3/13
Let f be ((-72)/182)/(135/(-3150)*5). Suppose 54/13*d**2 - 66/13*d**4 - 8/13 - 76/13*d**3 + f*d + 72/13*d**5 = 0. What is d?
-2/3, 1/4, 1
Suppose -5*v + 8 = -7. Let d be (v + 9/(-6))/(21/434). Factor -27*q + 32*q + d*q - 44*q**2 - 4 + 12.
-4*(q - 1)*(11*q + 2)
What is m in -2/9*m**4 + 4*m**3 - 94/9*m**2 + 20/3*m + 0 = 0?
0, 1, 2, 15
Let b(c) be the first derivative of c**5 + 340*c**4 + 450*c**3 - 680*c**2 - 1355*c + 1446. Factor b(k).
5*(k - 1)*(k + 1)**2*(k + 271)
Solve -1578*p**3 - 96040*p - 4*p**4 - 6104*p**2 - 8008*p**2 + 2414*p**3 - 1564*p**3 - 220892 = 0.
-161, -7
Let i(v) = -58*v**3 + 1332*v**2 + 53*v - 128. Let f be i(23). Suppose 1/3*q**3 + 27 + 19/3*q**2 + f*q = 0. What is q?
-9, -1
Let l(j) be the third derivative of -j**5/120 - 33*j**4/4 - 395*j**3/12 - 1452*j**2. Solve l(b) = 0.
-395, -1
Let w(g) be the third derivative of 1/200*g**6 - 11/5*g**3 - 2/25*g**5 + 3 - 31/40*g**4 - 41*g**2 + 0*g. Factor w(q).
3*(q - 11)*(q + 1)*(q + 2)/5
Let g(o) be the first derivative of 2*o**6/3 - 96*o**5/5 + 201*o**4 - 2776*o**3/3 + 1752*o**2 - 1440*o + 1829. Find q, 