**4. Solve o(c) = 0.
-1, 1, 2
Let d(b) be the third derivative of b**5/80 - 3*b**4/16 - 44*b**3 - 3446*b**2. Factor d(h).
3*(h - 22)*(h + 16)/4
Let m(i) = -2*i**3 - 10*i**2 + 212*i + 1062. Let s be m(-5). Suppose 150/7*g**s - 2*g**3 - 96/7*g - 40/7 = 0. Calculate g.
-2/7, 1, 10
Suppose 3*i + 1455 = 1494. Suppose -11*c**2 + 26*c - 4*c**2 + i*c + 12*c**2 = 0. What is c?
0, 13
Let i(v) be the third derivative of v**8/2184 + 6*v**7/455 + 8*v**6/65 + 16*v**5/39 + 5731*v**2. Solve i(k) = 0 for k.
-10, -4, 0
Let x(j) be the first derivative of -4*j**3 - 255*j**2/2 - 63*j - 1717. Factor x(u).
-3*(u + 21)*(4*u + 1)
Suppose 67*i = 53*i + 168. Suppose -i*d = 5*d - 51. Factor -2*m**5 + 0 - 17/2*m**4 + 0*m - 10*m**d - 2*m**2.
-m**2*(m + 2)**2*(4*m + 1)/2
Let l(a) be the second derivative of a**8/840 - 3*a**7/280 + 11*a**6/360 - a**4/6 + 11*a**3/3 + 32*a. Let n(y) be the second derivative of l(y). Factor n(p).
(p - 2)**2*(p - 1)*(2*p + 1)
Let g(o) be the second derivative of o**7/42 + o**6/15 - 96*o**5/5 - 264*o**4 - 11*o - 16. Factor g(c).
c**2*(c - 22)*(c + 12)**2
Suppose 9 = -g - 4 + 15. Let k(p) be the second derivative of 17/18*p**3 + 2/3*p**g + 0 + 7*p + 1/9*p**4. Factor k(u).
(u + 4)*(4*u + 1)/3
Suppose -44*t = -817 - 394 - 197. Let r(q) be the first derivative of -t*q + 8*q**2 - 11 - 2/3*q**3. Let r(p) = 0. What is p?
4
Let a(j) = 2*j**2 + 21*j + 5. Let v be a(-9). Let o be (6/v*2)/(249/(-83)). Factor 0 + 0*l**2 + o*l**3 - 2/11*l.
2*l*(l - 1)*(l + 1)/11
Let i(h) be the second derivative of 7/16*h**5 + 0*h**2 + 49/40*h**6 + 7 - 1/6*h**3 - 3*h - 1/3*h**4. Factor i(z).
z*(3*z - 1)*(7*z + 2)**2/4
Let -8*q**2 + 7418 + 7*q - 219*q - 7898 = 0. Calculate q.
-24, -5/2
Let n = -65 - -68. Suppose x = -0 + n. Factor 9 - 12*y**2 + 3 - y - 6*y**x + 9*y**3 - 2*y.
3*(y - 4)*(y - 1)*(y + 1)
Let d(q) be the third derivative of -q**6/540 - 7*q**5/270 - q**4/9 + 919*q**2 - 1. Let d(h) = 0. What is h?
-4, -3, 0
Factor -7*d**2 + 9876*d**3 - 22*d + 9883*d**3 - 10*d - 19761*d**3 - 13*d**2.
-2*d*(d + 2)*(d + 8)
Suppose 182 = -29*m + 8. Let x be m/(-162)*9*9. Find r such that 0 + 2/9*r**5 - 8/9*r**2 + 4/3*r**x - 8/9*r**4 + 2/9*r = 0.
0, 1
Factor -660*v**4 + 227*v**4 + 224*v**4 + 8*v**2 + 88*v - 22*v**3 + 207*v**4.
-2*v*(v - 2)*(v + 2)*(v + 11)
Let g be 6/(-8)*(-20)/4. Let w(r) be the first derivative of -5/3*r**3 - 9 - 5/2*r + g*r**2. Factor w(y).
-5*(y - 1)*(2*y - 1)/2
Let v be (26/(-40))/((-33)/52). Let g = v + -14/15. Let 16/11*n**2 + 0 - 36/11*n**3 + n**4 + 64/11*n - g*n**5 = 0. Calculate n.
-1, 0, 4
Let b(s) be the third derivative of 43/840*s**7 + 0*s + 3/16*s**5 - 195*s**2 + 89/480*s**6 - 1/1344*s**8 + 0*s**3 + 0*s**4 + 0. Factor b(k).
-k**2*(k - 45)*(k + 1)**2/4
Suppose -2*n = -2*h - 24, 5*n - 55 = 5*h + n. Let l be (10*h/420)/((-6)/8). What is q in -l*q**2 - 8/9 - 8/9*q = 0?
-2
Let h be (-8 - -3)*56/(-1). Determine l, given that 1573 - h*l + 3334 - 987 + 5*l**2 = 0.
28
Let g = -7585 + 7596. Let f(l) be the first derivative of -g*l**3 - 21/5*l**5 - 54*l + 99/4*l**4 + 17 - 207/2*l**2. Find v such that f(v) = 0.
-1, -2/7, 3
Suppose -2*d + 6 = -0. Suppose 0 = -4*b - 18*r + 20*r - 2, 2*r - 4 = 3*b. Factor -8*i**2 - 473*i**4 - b - 2*i**d + 475*i**4 - 4*i - 3*i + i**5.
(i - 2)*(i + 1)**4
Let j(c) be the second derivative of c**5/130 - c**4/78 - 49*c**3/39 + 49*c**2/13 - 1872*c. Factor j(s).
2*(s - 7)*(s - 1)*(s + 7)/13
Let c be (120/(-150))/(56/(-3045)). Let j(z) be the first derivative of -c*z**2 - 21*z**3 - 3*z**4 + 18 - 18*z. Suppose j(g) = 0. Calculate g.
-3, -2, -1/4
Solve -3/5*f**2 - 414 - 699/5*f = 0 for f.
-230, -3
Let o(l) = -13*l**2 - 891*l + 976. Let p(j) = 20*j**2 + 1332*j - 1464. Let s(b) = 14*o(b) + 9*p(b). Factor s(r).
-2*(r - 1)*(r + 244)
Let h(n) = 56*n**2 + 760*n + 3936. Let o(x) = -153*x**2 - 2282*x - 11809. Let s(m) = 11*h(m) + 4*o(m). Suppose s(d) = 0. Calculate d.
-5, 197
Let l(h) = h**4 + h**3 + h**2 + 4. Let s(k) = -8*k**4 - 12*k**3 + 2*k**2 - 24. Let z(m) = 6*l(m) + s(m). Solve z(b) = 0.
-4, 0, 1
Let y(j) = -3*j**3 + 205*j**2 + 4247*j + 255. Let n be y(85). Suppose -1/3*a**3 - 3*a + n + 10/3*a**2 = 0. What is a?
0, 1, 9
Let r(p) = -5*p**2 - 785*p + 800. Let m(l) = 7*l**2 + 787*l - 806. Let k(a) = 5*m(a) + 6*r(a). Factor k(o).
5*(o - 154)*(o - 1)
Factor 30 + 223 - 1228*p - 2*p**2 + 977 + 0*p**2.
-2*(p - 1)*(p + 615)
Let l(a) = -a**2 + 5*a + 4. Let z be l(5). Let v be 60/9 + (-4)/6. What is s in -v*s**2 - s**2 + z*s**2 + 0*s + 9*s = 0?
0, 3
Let j(k) be the third derivative of -k**8/588 + k**7/49 + 7*k**6/60 + 2*k**5/35 - 5*k**4/21 + 386*k**2 - 2. Determine z so that j(z) = 0.
-2, -1, 0, 1/2, 10
Let j be 1/((-2)/6) - 486/(-54). Factor 2*t**4 + 0*t - j*t**2 + 5*t + 3*t - 4*t.
2*t*(t - 1)**2*(t + 2)
Let c(i) = i**3 + 10*i**2 - 12*i - 91. Let a be c(-11). Let n be ((-6)/4)/((-8)/a*-5). Factor -2/11*o**n - 2/11*o + 0 - 4/11*o**2.
-2*o*(o + 1)**2/11
Suppose 24*m**3 + 80*m**2 + 4*m**4 - m + 8*m**2 - 59*m**3 - 47*m = 0. Calculate m.
0, 3/4, 4
Let x(c) be the first derivative of c**6/3 - 644*c**5/25 - 237*c**4/10 + 5372*c**3/15 + 2884*c**2/5 - 624*c + 1106. Let x(l) = 0. What is l?
-2, 2/5, 3, 65
Let w be -2 + 60/27 + 204/54. What is a in -5*a**4 + a**3 + 5*a**w + 2*a**3 + 2*a**2 - a**5 = 0?
-1, 0, 2
Let a(i) be the second derivative of 162*i + 1/75*i**6 - 3/50*i**5 + 1/15*i**4 + 0 + 0*i**2 + 0*i**3. Factor a(w).
2*w**2*(w - 2)*(w - 1)/5
Let x = 32 + -28. Let p be (-3)/(2 - ((-70)/x)/(-5)). What is r in 0*r**2 - 5*r**3 + 0*r**p - 14*r**4 + 9*r**4 = 0?
-1, 0
Let i be 87/116 - (1191/(-92) + -1). Solve -58/23*p**4 - i - 1172/23*p**2 - 2/23*p**5 - 500/23*p**3 - 1066/23*p = 0 for p.
-13, -1
Let c(l) be the second derivative of 7*l**2 + 15/2*l**3 + 0 + 1/12*l**5 - 11*l - 5/4*l**4. Let f(w) be the first derivative of c(w). Factor f(z).
5*(z - 3)**2
Let q(d) = d**2 + 247*d - 9868. Let p be q(35). Let k = 924 - 3677/4. Suppose -j**3 + 0 + 5/4*j + k*j**p = 0. Calculate j.
-1/4, 0, 5
Suppose -18 + z**4 + 7/2*z**2 + 15/2*z**3 - 36*z = 0. Calculate z.
-6, -3, -1/2, 2
What is l in -332*l**3 + 133*l**2 + 120*l + 60*l**4 - 11*l**3 - 62*l**3 + 35*l**5 - 267*l**2 - 176*l**2 = 0?
-4, -1, 0, 2/7, 3
Let c(p) be the second derivative of p**5/5 + p**4/3 - 4*p**3/3 + 1553*p - 2. Factor c(a).
4*a*(a - 1)*(a + 2)
Factor -8 + 2/17*m**3 + 208/17*m - 74/17*m**2.
2*(m - 34)*(m - 2)*(m - 1)/17
Let y(o) = -3362*o**3 + 49934*o**2 + 7250*o + 266. Let l(c) = -c**2 - 28*c - 1. Let v(j) = 4*l(j) - y(j). Factor v(w).
2*(w - 15)*(41*w + 3)**2
Let w(t) = -11*t - 62. Let i be w(-6). Let 18*r**i - 12*r**2 + 176*r**3 + 10*r**4 - 192*r**3 = 0. What is r?
-3/7, 0, 1
Factor -37*n + 1/2*n**2 + 73/2.
(n - 73)*(n - 1)/2
Let d be ((-12)/18)/(2/15). Let i = d + 7. Factor 5*r**3 + 35 - 6*r**i + r**2 - 10*r - 35.
5*r*(r - 2)*(r + 1)
Suppose -4*z + 185 = -99. Suppose -72*i + z*i = -60. Let -i*s**2 - 196 - 6*s**3 - 15*s**3 - 252*s + 17*s**3 = 0. What is s?
-7, -1
Let h(b) be the second derivative of b**4/36 + 23*b**3/9 + 111*b**2/2 - 5202*b. Suppose h(s) = 0. Calculate s.
-37, -9
Let t(o) be the first derivative of o**4/4 - 4*o**3 + 18*o**2 + 81*o + 79. Let u(a) be the first derivative of t(a). Factor u(v).
3*(v - 6)*(v - 2)
Let q(c) be the third derivative of -4/35*c**7 + 1/112*c**8 + 17/8*c**4 + 0 + 0*c - 7/5*c**5 + 11/20*c**6 - 2*c**3 - 10*c**2. Let q(z) = 0. What is z?
1, 4
Let u(x) be the first derivative of 5*x**4/4 + 3345*x**3 + 6713415*x**2/2 + 1497091545*x + 2015. Solve u(w) = 0.
-669
Factor -31*g**2 - 3391*g + 2224*g + 35*g**2 - 3957*g.
4*g*(g - 1281)
Let m(q) = -q + 2. Let l = -17 + 16. Let w be m(l). Find i, given that 16*i**2 + 5*i**w - 20*i**2 + 20*i - 25*i**3 + 4*i**4 = 0.
-1, 0, 1, 5
Let o = -279831 - -279833. Suppose 0 + 0*l + 6/11*l**o - 8/11*l**3 + 2/11*l**4 = 0. What is l?
0, 1, 3
Let b(l) be the first derivative of -l**6/39 + 38*l**5/65 + 4980. Find y, given that b(y) = 0.
0, 19
Suppose -2*z + 4*r + 4 = 0, -3*z - 5*r - 102 = -108. Factor -2/7*h**4 - 640/7 - 216/7*h**z + 608/7*h + 34/7*h**3.
-2*(h - 5)*(h - 4)**3/7
Let m(h) be the third derivative of 0 + 186*h**2 + 0*h**3 - 1/210*h**7 - 3/20*h**5 + 0*h + 3/4*h**4 - 1/15*h**6. Determine s, given that m(s) = 0.
-6, -3, 0, 1
Let i = -147 - -105. Let j = 44 + i. Determine f so that 41*f**2 + 9*f**j + 5*f**2 - 55*f**4 + 10*f - 45*f**5 + 35*f**