ind u, given that h(u) = 0.
-7, -1, 0, 1
Let t = -39 + 41. Let r(x) = -3*x - t + 5*x + 0*x**2 + x + 5*x**2. Let h(z) = -6*z**2 - 3*z + 3. Let p(j) = -4*h(j) - 5*r(j). Suppose p(c) = 0. Calculate c.
-2, -1
Let m(q) be the first derivative of 98 + 18/5*q**3 + 26/5*q**2 + 0*q + 1/10*q**4. Factor m(o).
2*o*(o + 1)*(o + 26)/5
Let o(m) be the second derivative of m**8/168 - m**6/30 + m**4/12 + 24*m**2 + 14*m. Let y(p) be the first derivative of o(p). Factor y(l).
2*l*(l - 1)**2*(l + 1)**2
Let b = -775164 - -775166. Factor 30*j - 4/3 - 44/3*j**b.
-2*(j - 2)*(22*j - 1)/3
Let i(n) be the second derivative of n**7/294 - n**6/35 + 3*n**5/35 - 2*n**4/21 - 1122*n + 1. Factor i(z).
z**2*(z - 2)**3/7
Suppose 3*t + 2 = d, 3*t - 4*d - 6 = -14. Let f(b) be the second derivative of -2/3*b**4 + 0 - b**3 - 11*b + t*b**2. Suppose f(o) = 0. Calculate o.
-3/4, 0
Let b(c) be the first derivative of -c**4/18 + 22*c**3/9 - 40*c**2/3 + 289*c + 55. Let d(x) be the first derivative of b(x). Let d(t) = 0. What is t?
2, 20
Let n = 139380 + -139378. Factor 7/3*s + 0 - 1/6*s**n.
-s*(s - 14)/6
Let i(l) be the second derivative of l**4/54 + 26*l**3/27 - 1593*l. Factor i(m).
2*m*(m + 26)/9
Let i = -102 + 148. Let z(y) = -6*y + 11*y**2 - 40 + 93 - 7*y**3 - i. Let h(m) = -4*m**3 + 6*m**2 - 3*m + 4. Let x(w) = -5*h(w) + 3*z(w). Factor x(f).
-(f - 1)**3
Let b(k) be the third derivative of -k**5/80 + 2917*k**4/16 - 8508889*k**3/8 + 68*k**2 + 8. Solve b(v) = 0 for v.
2917
Let z be (-304)/(-44) + -1 - (-47)/(2397/(-153)). Determine o, given that 0 + 26/11*o**3 + z*o**4 + 0*o + 4/11*o**2 + 10/11*o**5 = 0.
-2, -1, -1/5, 0
Let f(j) be the first derivative of 0*j - 16/3*j**3 - 8*j**2 - j**4 + 79. Factor f(n).
-4*n*(n + 2)**2
Let x(q) be the second derivative of 0 + 5*q - 1/15*q**4 - 4/15*q**3 - 1/150*q**5 - 11/2*q**2. Let j(n) be the first derivative of x(n). Factor j(t).
-2*(t + 2)**2/5
Let h(d) be the second derivative of -3*d**5/20 + 17*d**4/4 + 122*d**3 - 390*d**2 + 161*d. Factor h(o).
-3*(o - 26)*(o - 1)*(o + 10)
Let a(n) be the second derivative of -n**5/40 + 15*n**4/8 - 225*n**3/4 + 45*n**2/2 + 39*n. Let m(l) be the first derivative of a(l). Factor m(v).
-3*(v - 15)**2/2
Let u(t) = t**3 + 3*t**2 - 10*t. Let i be u(-6). Let m be (32/i)/(-2)*(-9)/(-5). Factor 3/5*k**5 + 3/5*k**4 + 0*k - 3/5*k**2 - m*k**3 + 0.
3*k**2*(k - 1)*(k + 1)**2/5
Let x(d) = -d + 93 - 161 + 85. Let h be x(15). Factor s**4 - 3*s + s + 6*s**2 + 5*s**2 - 12*s**2 + h*s**3.
s*(s - 1)*(s + 1)*(s + 2)
What is a in -6/5*a**5 + 574/5*a**3 + 92/5*a**4 - 52*a**2 - 80*a + 0 = 0?
-5, -2/3, 0, 1, 20
Let q(y) = -21795*y - 108975. Let h be q(-5). Factor -15*i + h + 5/2*i**2 + 5/2*i**3.
5*i*(i - 2)*(i + 3)/2
Let h = 10010 + -10008. Let b(t) be the third derivative of 0*t**3 + 1/78*t**5 + 1/1365*t**7 + 2*t**h + 1/78*t**4 + 1/195*t**6 + 0*t + 0. Factor b(j).
2*j*(j + 1)**2*(j + 2)/13
Let o(b) be the second derivative of -2*b**5/25 - 9*b**4/10 + 133*b**3/5 - 98*b**2/5 - 235*b. Find v, given that o(v) = 0.
-14, 1/4, 7
Factor -51/7*c**2 + 0 + 30/7*c**3 - 12*c - 3/7*c**4.
-3*c*(c - 7)*(c - 4)*(c + 1)/7
Let r(f) be the first derivative of f**4/3 - 244*f**3/9 + 271. Factor r(u).
4*u**2*(u - 61)/3
Let q = 36/11 - 64/33. Let g be ((-32)/468)/((-1002)/13026). Factor 4/9*t**2 + q*t + g.
4*(t + 1)*(t + 2)/9
Let z be (-210)/(-100) + (-500)/5000. Factor 1/3*s**3 + 91/3*s - 47/3*s**z - 15.
(s - 45)*(s - 1)**2/3
Let x(q) be the first derivative of -q**4/8 + 17*q**3/6 - 55*q**2/4 + 39*q/2 - 1827. Factor x(t).
-(t - 13)*(t - 3)*(t - 1)/2
What is c in 0 + 3/2*c**5 + 96*c**2 + 0*c - 24*c**3 - 6*c**4 = 0?
-4, 0, 4
Determine l so that -4690*l**2 + 25880*l**3 - 25875*l**3 + 759619*l + 539844*l - 199658*l = 0.
0, 469
Let y(a) be the third derivative of a**6/240 + 7*a**5/120 + 5*a**4/24 - 236*a**2. Factor y(o).
o*(o + 2)*(o + 5)/2
Suppose -452/11 - 454/11*g - 2/11*g**2 = 0. Calculate g.
-226, -1
Let y(k) = 11*k - 23. Let v(h) = -31*h + 68. Let s(l) = -6*v(l) - 17*y(l). Let m be s(-19). Factor -119*o + o**4 + 0*o**m + 121*o - 3*o**2.
o*(o - 1)**2*(o + 2)
Let q(b) be the third derivative of 19/6*b**3 - 247*b**2 + 7/16*b**4 + 1/120*b**5 + 0 + 0*b. Find k, given that q(k) = 0.
-19, -2
Let x be (-292)/24*-3*2. Let i = x + -71. Factor 6 - 9*n - 8 - 3*n**i + 0*n**2 - n**2.
-(n + 2)*(4*n + 1)
Factor -2/7*c**2 - 2/7*c**3 + 2/7*c + 2/7.
-2*(c - 1)*(c + 1)**2/7
Let u(g) = g**2 - 18*g - 106. Let c be u(23). Factor -5*f**2 - 4012 + 4007 + c*f - 35*f.
-(f + 5)*(5*f + 1)
Let p(u) = 4*u**2 + 56*u + 104. Let v(w) = 23. Let t(r) = -5. Let c(f) = 5*t(f) + v(f). Let o(h) = -4*c(h) - p(h). Factor o(z).
-4*(z + 2)*(z + 12)
Factor -163*d**2 - 2*d**3 - 2*d**3 + 326*d**2 - 195*d**2.
-4*d**2*(d + 8)
Let d(j) = j**3 - 16*j**2 + 30*j - 18. Let p be d(14). Factor -2*n**2 - 12*n - p + 6*n**2 + 18.
4*(n - 2)*(n - 1)
Let -96/7*s**2 + 201/7*s - 102/7 - 3/7*s**3 = 0. Calculate s.
-34, 1
Let z(b) be the second derivative of -b**5/4 - 40*b**4/3 + 5*b**3/6 + 80*b**2 + 1533*b. Let z(i) = 0. What is i?
-32, -1, 1
Let 56*x + 63*x + 402*x**2 - 93*x**3 + 72 + 33*x**4 + 253*x - 138*x**4 = 0. What is x?
-2, -3/5, -2/7, 2
Let u(d) be the second derivative of 0*d**2 + 0 - 90*d - 4/3*d**3 + 7/3*d**4. Factor u(r).
4*r*(7*r - 2)
Factor 216 - 4/3*s**3 + 168*s + 2/3*s**4 - 50*s**2.
2*(s - 6)**2*(s + 1)*(s + 9)/3
Suppose 35 = 302*t - 278*t - 37. Let o(z) be the second derivative of -81/8*z**2 + 3/4*z**t + 10*z - 1/48*z**4 + 0. Find n such that o(n) = 0.
9
Suppose 0 = 3*i - 2*i - 80. Let y be i/36 - ((-6)/(-27) - 0). Factor 5*s**2 - 11*s - 7*s**y - 8 + s.
-2*(s + 1)*(s + 4)
Let j(q) be the second derivative of q**6/50 - 33*q**5/100 - 5*q**4/4 - 13*q**3/10 - 60*q - 7. Let j(n) = 0. Calculate n.
-1, 0, 13
Let q(y) = -y**3 + 8*y**2 + 21*y - 10. Let t be q(10). Let f(l) be the third derivative of 5/3*l**3 - 1/4*l**5 + 6*l**2 + 25/24*l**4 + 0 + t*l. Factor f(h).
-5*(h - 2)*(3*h + 1)
Let z be (-3)/(-18) + (-1)/(18/(-177)). Let n be 5 + z/(-15) + -3. Factor -14/3*j + n + 10/3*j**2.
2*(j - 1)*(5*j - 2)/3
Let b(c) be the second derivative of -c**4/60 - 223*c**3/15 - 49729*c**2/10 + 9*c + 39. Suppose b(i) = 0. Calculate i.
-223
Let u(h) be the second derivative of -26/21*h**3 + 0 + 1/35*h**5 + 0*h**4 + 106*h + 24/7*h**2. Factor u(p).
4*(p - 3)*(p - 1)*(p + 4)/7
Let i = 179/558 + -13/62. Let d(l) be the first derivative of 0*l**2 + 0*l + i*l**4 + 1/27*l**6 - 18 - 2/15*l**5 + 0*l**3. Determine f so that d(f) = 0.
0, 1, 2
Let d(s) be the third derivative of -2/15*s**5 + 2*s**2 - 13/144*s**4 + 0 - 1/80*s**6 - 43*s + 5/18*s**3. Factor d(z).
-(z + 5)*(3*z - 1)*(3*z + 2)/6
Let y(o) = o**3 - 4*o**2 + 2*o + 4. Let m be y(4). Suppose -m = -5*u + u. What is x in x**3 + 5*x + 10*x - x**3 - 5 - 15*x**2 + 5*x**u = 0?
1
Let q(p) = 14*p**2. Let g be q(-1). Suppose -4*x = 5*r - g, 0*x + x = 3*r - 5. Suppose j**r + 3*j**2 + 28*j**4 + 341*j**3 - 363*j**3 = 0. Calculate j.
0, 2/7, 1/2
Let h = 203104 - 203101. Factor 27/2*t**2 + 9*t - 24 + 3/2*t**h.
3*(t - 1)*(t + 2)*(t + 8)/2
Let h be ((-4)/8 - 177/(-6))/1. Suppose 36*z - 21 = h*z. Factor 1/3*r**4 + r**z + 0 + 2/3*r**2 + 0*r.
r**2*(r + 1)*(r + 2)/3
Let j be 3327/(-9) - 3/18*-4. Let v = j + 369. Factor -4/11 + v*c**2 - 2/11*c**3 + 6/11*c.
-2*(c - 1)**2*(c + 2)/11
Suppose 237*d - 12209 + 6077 + d**5 - 66*d - 30*d**2 + 6402 - 28*d**3 = 0. What is d?
-3, -2, 3, 5
Let k(y) be the third derivative of y**8/112 + 3*y**7/70 - 3*y**6/20 - 2*y**5/5 + 6*y**2 + 366. Factor k(q).
3*q**2*(q - 2)*(q + 1)*(q + 4)
Let i be (-1)/(2/(-40)) - (-1 + 5). Find m such that 23 - 10 - 4*m**5 + 9*m**2 - 12*m - 21 + i*m**3 - m**2 = 0.
-1, 1, 2
Let n = 486 + -12147/25. Let t(d) be the first derivative of 3/5*d**2 - 9/20*d**4 + 1/10*d**6 + 0*d + 1/5*d**3 - n*d**5 - 13. What is x in t(x) = 0?
-1, 0, 1, 2
Let d(g) be the first derivative of 8/9*g - 1/27*g**6 - 19/18*g**4 - 230 + 14/45*g**5 - 16/9*g**2 + 50/27*g**3. Find q such that d(q) = 0.
1, 2
Suppose -3388 = -6*l + 1496. Let t = l - 4066/5. Factor 28/5*q + 24/5 - t*q**3 + 0*q**2.
-4*(q - 3)*(q + 1)*(q + 2)/5
Let s(w) be the third derivative of w**7/70 - 9*w**6/40 - 57*w**5/20 + 65*w**4/8 - 1170*w**2. Let s(b) = 0. Calculate b.
-5, 0, 1, 13
Suppose -4 = -4*t + 4*l, -3*l + 1 = 3*t - 14. Let -113*c**3 + 61*c**t + 400*c - 80*c + 57*c**3 - 80*c**2 = 0. Calculate c.