) be the first derivative of -3*f**5/5 - 57*f**4/4 + 361*f**3 - 5055*f**2/2 + 7200*f + 1009. Determine q, given that a(q) = 0.
-32, 3, 5
Let 1664*c - c**3 + 123986 + 413*c**2 - 61710 - 60608 = 0. Calculate c.
-2, 417
Let 1499/4*n - 79/4*n**2 + 19/2 = 0. What is n?
-2/79, 19
Let l = 2124 + -1339. Let m = 787 - l. Suppose 3/4*j**m + 0 + 1/4*j + 3/4*j**3 + 1/4*j**4 = 0. Calculate j.
-1, 0
Let j(m) = 26*m + 50. Let v be j(20). Let l = v + -1135/2. Factor l*s + 1/2*s**2 + 0.
s*(s + 5)/2
Let l(v) = 35*v - 243 + 1090 - 287. Let d be l(-16). Factor 1/2*i - 1/2*i**2 + 1/8*i**3 + d.
i*(i - 2)**2/8
Find l such that -3*l + 210*l**2 - 47*l**4 - 143*l**4 + 3*l - 20*l**4 + 3*l**5 - 3*l**3 = 0.
-1, 0, 1, 70
Let t = -11439/20 - -572. Let a(h) be the first derivative of 0*h - 1/12*h**3 - t*h**5 + 0*h**2 - 1/8*h**4 + 12. Suppose a(w) = 0. What is w?
-1, 0
Let -1526/3 - 41*p - 1/3*p**2 = 0. Calculate p.
-109, -14
Let m(a) = -3*a**3 + 15*a**2 - 865*a + 4327. Let f be m(5). Determine d so that -4/5 - 279/5*d**4 - 81/5*d**5 - 201/5*d**f - 48/5*d - 71*d**3 = 0.
-1, -2/9
Let r(a) be the third derivative of a**7/105 + 3*a**6/5 + 31*a**5/5 - 121*a**4/3 + 87*a**3 - 2072*a**2. Factor r(b).
2*(b - 1)**2*(b + 9)*(b + 29)
Let p(q) = q**3 + 68*q**2 - 64*q + 347. Let r be p(-69). Let t(u) be the first derivative of -15/14*u**r + 1/7*u**3 + 12/7*u + 3. Suppose t(d) = 0. What is d?
1, 4
Let x be (-92412)/1510*(3 + 11/(-3)). Let -28/5*q**5 - x*q**3 - 32*q**4 - 8*q**2 + 0 + 32/5*q = 0. What is q?
-4, -1, 0, 2/7
Let n(f) = -f**3 - 7*f**2 + 113*f + 62. Let v be n(8). Determine y, given that 4/3 + 14/3*y - v*y**2 = 0.
-2/9, 1
Factor 3/4*l**2 + 45 - 69/4*l.
3*(l - 20)*(l - 3)/4
Let w(g) be the second derivative of g**5/40 - 185*g**4/24 + 8827*g**3/12 - 24843*g**2/4 + 5497*g. Solve w(u) = 0 for u.
3, 91
Let u(a) be the third derivative of a**8/168 + 44*a**7/35 - 67*a**6/30 - 22*a**5/5 + 133*a**4/12 - 2*a**2 - 17*a - 270. Determine n, given that u(n) = 0.
-133, -1, 0, 1
Let i be ((-40)/72)/(((-2)/(-12))/(51/(-34))). Let v(h) be the third derivative of 0 + 42*h**2 + 9/32*h**4 + 0*h + 7/80*h**i + 1/4*h**3. Factor v(q).
3*(q + 1)*(7*q + 2)/4
Factor 2235*k - 1517 - 9194*k**2 - 9198*k**2 - 1268 + 18397*k**2 + 545*k.
5*(k - 1)*(k + 557)
Let w(z) = 7*z**5 - 306*z**4 + 6148*z**3 + 83424*z**2 + 290296*z + 301052. Let h(r) = -r**5 - r**3 + 2*r + 1. Let n(c) = 4*h(c) + w(c). Solve n(o) = 0 for o.
-4, -2, 56
Let x(c) = -c**2 + 1301*c - 1324. Let j(z) = -1292*z + 1324. Let q(o) = -3*j(o) - 4*x(o). Factor q(l).
4*(l - 331)*(l - 1)
Suppose -5*r + 17 = c, -5*r - 3 + 16 = -c. Let -9*g**4 + 15*g**5 - 12*g + 51*g**2 - 30*g**4 - 10935*g**r - 12 + 10932*g**3 = 0. What is g?
-1, -2/5, 1, 2
Let i(b) be the first derivative of -2/3*b**2 - 9 + 36*b - 1/18*b**4 - 1/3*b**3. Let p(q) be the first derivative of i(q). Factor p(h).
-2*(h + 1)*(h + 2)/3
Suppose -319*l**3 - 157/2*l**4 - 481*l**2 + 1/2*l**5 - 161/2 - 643/2*l = 0. Calculate l.
-1, 161
Let j be ((46716/55)/3)/((-64)/160). Let c = j - -708. Find y, given that -2/11*y**5 - 8/11 + 16/11*y + 10/11*y**4 - c*y**2 - 14/11*y**3 = 0.
-1, 1, 2
Suppose 27*d - 219 = -705. Let g(k) = k**2 - 2*k - 1. Let w(t) = t**2 + 94*t - 23. Let l(z) = d*g(z) - 2*w(z). Factor l(h).
-4*(h + 8)*(5*h - 2)
Suppose 22*m - 22 = 22. Solve 13*h**m - 134*h**3 + 145*h**3 + 0*h + 5*h - 3*h = 0.
-1, -2/11, 0
Let b(t) be the first derivative of -2*t**3/5 + 36*t**2/5 - 162*t/5 + 2094. Factor b(p).
-6*(p - 9)*(p - 3)/5
Let j(b) be the second derivative of b**4/30 - 508*b**3/15 + 64516*b**2/5 + 3*b + 58. Find q such that j(q) = 0.
254
Suppose -3*n - 38*d = -39*d - 19, 3*n - 14 = -4*d. Suppose 18 - n = 2*o + 2*w, -2*w + 3 = -o. Find t such that -4/7*t + 4/7 - 4/7*t**2 + 4/7*t**o = 0.
-1, 1
Suppose -240*l**2 - 3/4*l**3 - 77751/4*l - 75843/2 = 0. Calculate l.
-159, -2
Let 16/9*i**2 + 0 + 0*i - 2/9*i**3 = 0. What is i?
0, 8
Suppose 16*m**3 - 3*m**3 - 5*m**3 - 20 - 70*m**2 - 98*m + m**3 - m**3 = 0. Calculate m.
-1, -1/4, 10
Let l(c) be the first derivative of 45 - c**5 + 25/3*c**3 - 15/4*c**4 - 20*c + 15/2*c**2. Factor l(y).
-5*(y - 1)**2*(y + 1)*(y + 4)
Let h be ((-2)/(324/(-189)))/((-14)/(-8)). Let f(x) be the second derivative of 0 - 1/4*x**4 - h*x**3 + 8*x - 1/2*x**2. Suppose f(t) = 0. Calculate t.
-1, -1/3
Let v(u) be the second derivative of 3*u**5/80 + 6327*u**4/16 + 13343643*u**3/8 + 28141743087*u**2/8 - 18*u + 129. Let v(r) = 0. Calculate r.
-2109
Let b(o) be the first derivative of o**4/2 - 16*o**3/3 - 35*o**2 + 588*o + 2220. Suppose b(w) = 0. What is w?
-6, 7
Suppose 5*h + 5*t = -8705 + 8710, h = 3*t - 3. Factor 0 + h*c - 2/3*c**4 - 2/9*c**5 - 2/9*c**2 - 2/3*c**3.
-2*c**2*(c + 1)**3/9
Factor -j - j**3 - 15*j - 16*j**2 + 7*j**3 - 2*j - 4*j.
2*j*(j + 1)*(3*j - 11)
Let 3/5*w - 1803/5*w**2 - 3/5*w**3 + 1803/5 = 0. Calculate w.
-601, -1, 1
Let z be 2 + 1 - -1*8/(-4). Suppose -5*r = z - 16. Factor 8*x + 0*x**3 - r*x**4 - 4*x - 4*x**3 + 4*x**2 - x**4.
-4*x*(x - 1)*(x + 1)**2
Let x(l) be the first derivative of -l**6/45 + 2*l**5/75 + 2*l**4/15 - 8*l**3/45 - 1082. Solve x(m) = 0.
-2, 0, 1, 2
Let l(u) be the first derivative of 3*u**5/20 + 621*u**4/16 + 615*u**3/4 + 1839*u**2/8 + 153*u - 6886. Factor l(y).
3*(y + 1)**3*(y + 204)/4
Let m(j) be the first derivative of j**4/16 - 3*j**3/4 + 23*j**2/8 - 15*j/4 + 1440. Factor m(s).
(s - 5)*(s - 3)*(s - 1)/4
Let g = 172823 - 172823. Determine u, given that 0 + g*u**2 - 2/17*u**3 + 0*u = 0.
0
Let 1/2*c**3 - 567009/2 - 1507/2*c**2 + 568515/2*c = 0. What is c?
1, 753
Let o(v) be the third derivative of v**8/56 - 2*v**7/315 - 51*v**6/80 + 19*v**5/120 + 85*v**4/9 - 25*v**3/3 - 15*v**2 + 82*v. Determine a so that o(a) = 0.
-5/2, 2/9, 2, 3
Let j = 36 + -34. Let 41 - 2*c**j - 8*c - 22 - 25 = 0. What is c?
-3, -1
Let k(o) = -o**2 - 40*o - 256. Let x be k(-32). Let u(n) be the first derivative of -2*n**3 - 1/2*n**4 - 2*n**2 + x*n - 8. Factor u(w).
-2*w*(w + 1)*(w + 2)
Factor -h**2 + 66/5*h + 0 - 12/5*h**3 - 1/5*h**4.
-h*(h - 2)*(h + 3)*(h + 11)/5
Let v(g) = -g**2 + g - 1. Suppose -i = -146 + 138. Let l(a) = -4*a**2 + 52*a - 56. Let c(r) = i*v(r) - l(r). Determine t, given that c(t) = 0.
-12, 1
Let l(f) be the third derivative of f**7/5040 + f**6/720 + 7*f**4/8 + f**3/6 - 65*f**2 + 2*f. Let q(r) be the second derivative of l(r). Factor q(n).
n*(n + 2)/2
Solve -249/5*w**2 + 7*w**3 + 50 - 1/5*w**4 - 7*w = 0 for w.
-1, 1, 10, 25
Let u = 113754 - 568769/5. Solve -4/5 - u*i**3 + 3/5*i**2 + 0*i = 0 for i.
-1, 2
Let t(j) be the second derivative of -j**5/20 + j**4/3 - 2*j**3/3 + 7*j**2/2 - 25*j. Let o be t(3). Factor -q**3 - 5*q**2 - 4 - o*q - 15 + 19.
-q*(q + 1)*(q + 4)
Let x be ((-6)/(-10))/(667/1334). Suppose -2/5*o + 2/5*o**3 + 6/5*o**2 - x = 0. What is o?
-3, -1, 1
Let j = -1878365 - -1878365. Factor j - 20/7*p**2 + 2/7*p**3 + 18/7*p.
2*p*(p - 9)*(p - 1)/7
Solve -c**5 - 22*c**2 - 182156*c**4 + 7*c**2 + 182171*c**4 + 14*c - 13*c**3 = 0 for c.
-1, 0, 1, 14
Let v(f) = 951*f - 11409. Let z be v(12). Factor 23*q**2 + 1/3*q**4 + 100/3 + 140/3*q + 14/3*q**z.
(q + 2)**2*(q + 5)**2/3
Let i(q) = -15*q**4 + 780*q**3 + 2350*q**2 + 2355*q + 785. Let p(c) = 13*c**4 - 778*c**3 - 2348*c**2 - 2354*c - 785. Let r(z) = 4*i(z) + 5*p(z). Solve r(m) = 0.
-1, 157
Suppose -5*d + 95 = 3*s, -d + 3*s + 19 = -2*s. Let z = 24 - d. Factor 2*t**2 + t**2 + 3*t**2 - t**z + t**4 - 7*t**2 + t**3.
-t**2*(t - 1)**2*(t + 1)
Suppose 0 = 5*d + 2*y + 3*y - 10, -y = -d + 2. Factor 2*i + 5*i**d - 7*i**2 + 30*i.
-2*i*(i - 16)
Suppose -40*x = 4*x - 2 - 46 - 40. Factor -3/4*a**3 + 513/4*a**x + 555579/4 - 29241/4*a.
-3*(a - 57)**3/4
Suppose 0 = -3*l - 1719 + 1734, -4*g - l = -13. Determine i, given that 1/4*i**g - 1/4*i**5 + 0 - 3/4*i**3 + 3/4*i**4 + 0*i = 0.
0, 1
Let b(f) = -2*f**3 + 27*f**2 - 12*f + 3. Let v = 435 + -438. Let p(w) = -5*w**3 + 55*w**2 - 20*w + 5. Let l(n) = v*p(n) + 5*b(n). Factor l(q).
5*q**2*(q - 6)
Let h(q) be the second derivative of -q**4/4 - 369*q**3/2 + 572*q. Find p, given that h(p) = 0.
-369, 0
Let t(r) be the first derivative of r**6/15 - 8*r**5/25 - r**4/10 + 8*r**3/15 + 166. Find i, given that t(i) = 0.
-1, 0, 1, 4
Solve -10*s + 2/3*s**2 + 36 = 0.
6, 9
Let g = 6708 - 2636. Determine h so that 56*h - 51*h**3 - 4*h**4 + 3880*h**2 + 196 - 5*h**3 - g*h**2 = 0.
-7, -1, 1
Let k(n) = -n**2