9. Solve l(p) = 0 for p.
-1, -1/4, -2/13
Let n(i) be the third derivative of -i**5/15 - 5*i**4 - 54*i**3 - 1088*i**2. What is o in n(o) = 0?
-27, -3
Let v(m) be the third derivative of -m**6/240 - m**5/15 - 13*m**4/48 - m**3/2 + 10*m**2 - m - 22. Solve v(k) = 0 for k.
-6, -1
Let k(a) = -9134*a + 794661. Let v be k(87). Determine w so that -6/5*w**v - 132/5 + 78/5*w + 12*w**2 = 0.
-2, 1, 11
Let c(i) be the first derivative of -2*i**6/21 + 4*i**5/5 - 2*i**4 + 8*i**3/21 + 30*i**2/7 - 36*i/7 + 359. What is h in c(h) = 0?
-1, 1, 3
Let p(x) be the third derivative of -x**7/26460 + 17*x**6/1890 - 289*x**5/315 + 101*x**4/24 + 161*x**2. Let g(d) be the second derivative of p(d). Factor g(j).
-2*(j - 34)**2/21
Let a = 11 - 8. Let f(h) = 7*h**2 + h + 9. Let i(n) = -2*n**2 - 2*n - 1. Let l(w) = a*i(w) + f(w). Let l(m) = 0. What is m?
2, 3
Let u(t) be the third derivative of t**10/94500 + t**9/30240 + t**8/50400 - t**5 + 2*t**2 + 89*t. Let q(z) be the third derivative of u(z). Factor q(d).
2*d**2*(d + 1)*(4*d + 1)/5
Suppose -2*i = i - 15. Suppose 6*d + 4*l + 10 = 3*d, l = 2*d - 8. Suppose i*w**2 - w**d - 2*w**2 + w**4 - 3*w**3 = 0. What is w?
0, 1, 2
Let o(j) be the first derivative of j**4/2 - 2*j**3 - 28*j**2 + 120*j - 6288. Determine g, given that o(g) = 0.
-5, 2, 6
Let v be 1*(-3)/6*-4. Let i(u) = -u**3 - 37*u**2 + 116*u - 156. Let z be i(-40). Solve 1/2*l**4 - z*l**3 + 1/2 + 2*l**5 + 2*l - l**v = 0 for l.
-1, -1/4, 1
Let b be (4185/(-17523) - (-2)/(-59)) + 47/11. Factor 0 + 11/4*s**2 + s**b - 13/4*s**3 - 1/2*s.
s*(s - 2)*(s - 1)*(4*s - 1)/4
Suppose -7*p - 7037 = 103. Let l = -1017 - p. Factor 1/2*q**4 + 3/2*q**l + 3/2*q**2 + 0 + 1/2*q.
q*(q + 1)**3/2
Let y(c) = -3*c**2 + 5336*c - 3553780. Let m(r) = -r**2 + 4*r - 2. Let v(o) = -m(o) + y(o). Factor v(f).
-2*(f - 1333)**2
Let 488/5*r**2 + 0 - 2/5*r**5 + 0*r + 114/5*r**4 + 96*r**3 = 0. What is r?
-2, 0, 61
Let t(d) be the third derivative of 1/40*d**6 - 1/280*d**7 - 2 - 1/8*d**4 - 3/80*d**5 + 0*d + 1/2*d**3 + 62*d**2. Let t(u) = 0. What is u?
-1, 1, 2
Let p = 520 + -503. Factor 22 - p - 17 - 2*l**2 + 8*l + l**2 + 0*l**2.
-(l - 6)*(l - 2)
Factor 18*r + 289*r + 76*r - 62*r + 3*r**2 - 4284.
3*(r - 12)*(r + 119)
Suppose 33 = -3*q + 45. Solve -127*w**q - 69*w**2 + 130*w**4 - w**5 + 70*w**2 - 3*w**3 = 0.
0, 1
Solve 89 - 229 + 4*c**2 - 6*c**2 - 132 - 271*c + 3*c**2 = 0 for c.
-1, 272
Let v(f) = 5*f**3 + 6446*f**2 + 2773504*f + 397534998. Let r(o) = 2*o**2 - 2*o + 1. Let a(w) = -2*r(w) - v(w). Let a(z) = 0. Calculate z.
-430
Let g(y) be the first derivative of 3*y**4/8 + 443*y**3/6 + 291*y**2 + 290*y + 7019. Solve g(x) = 0 for x.
-145, -2, -2/3
Let m(q) be the third derivative of -5*q**8/672 + 419*q**7/210 + 117*q**6/80 - 313*q**5/15 - 671*q**4/12 - 56*q**3 + 5162*q**2. Find d, given that m(d) = 0.
-1, -2/5, 2, 168
Let z(c) be the first derivative of 0*c**3 + 0*c**2 - 1/20*c**5 - c - 1/12*c**4 - 1. Let b(t) be the first derivative of z(t). Factor b(r).
-r**2*(r + 1)
Let d be ((-2)/8)/((-257023)/8840 + 30 + -1). Factor 2/21*a**2 - d - 4/21*a.
2*(a - 7)*(a + 5)/21
Let c(o) be the third derivative of 3/70*o**7 + 1/48*o**8 + 0*o**3 + 0 + 0*o**4 - 1/10*o**6 + 226*o**2 - 1/15*o**5 + 0*o. Factor c(a).
a**2*(a - 1)*(a + 2)*(7*a + 2)
Suppose -h - a = -9, 0*h - h + 13 = 2*a. Factor -17*l + 13*l + 0*l**2 - 16*l - h*l**2.
-5*l*(l + 4)
Factor -15558*d**3 + 15556*d**3 - 9*d**2 - 131*d**2.
-2*d**2*(d + 70)
Let h(i) = -84*i**2 - 206*i - 146. Let z(a) = 5*a**2 - 2*a - 1. Let k(m) = -2*h(m) - 36*z(m). Factor k(s).
-4*(s - 41)*(3*s + 2)
Let m(n) be the first derivative of 2*n**7/15 - 2*n**6/5 - 5*n**5/3 - n**4 + 14*n**2 - 40. Let a(t) be the second derivative of m(t). Let a(l) = 0. What is l?
-1, -2/7, 0, 3
Suppose -5*l + 0*l = -60. Suppose 3*b = l - 3. Find u such that 3*u - 3*u - u**2 + u**4 - u**b + u = 0.
-1, 0, 1
Let j(u) be the third derivative of u**5/150 - u**4/20 + 40*u**2 - 30*u. Factor j(h).
2*h*(h - 3)/5
Let b(t) be the second derivative of -93*t - 4/15*t**3 + 1/120*t**4 + 16/5*t**2 + 0. Let b(m) = 0. What is m?
8
Let q(c) = -6*c**2 - 10*c + 18. Let u(f) = -6*f + 27 - 3*f**2 - 8 - 10. Let n(d) = -6*q(d) + 11*u(d). Factor n(i).
3*(i - 3)*(i + 1)
Let g = 56529 + -282613/5. Solve 0 - g*i - 4/5*i**3 + 36/5*i**2 = 0 for i.
0, 1, 8
Let l(t) = 300*t**2 - 12480*t + 129781. Let x(k) = -1300*k**2 + 54080*k - 562384. Let g(w) = 48*l(w) + 11*x(w). Factor g(s).
4*(5*s - 104)**2
Let d(r) = -6*r**3 - 423*r**2 - 1308*r - 873. Let x(u) = 5*u**3 + 423*u**2 + 1306*u + 872. Let t(j) = 8*d(j) + 9*x(j). Factor t(l).
-3*(l - 144)*(l + 1)*(l + 2)
Let j(u) be the second derivative of u**5/120 + 11*u**4/18 - 47*u**3/36 - 15*u**2/2 + 3142*u. What is f in j(f) = 0?
-45, -1, 2
Let v(f) be the second derivative of f**4/42 - 38*f**3/7 - 115*f**2/7 + 1290*f. Determine b so that v(b) = 0.
-1, 115
Let -176/5 - 24/5*b**3 + 8*b**2 + 96/5*b + 1/5*b**4 = 0. What is b?
-2, 2, 22
Let r = -679 - -683. Let h be (-2)/6 - (-1 - r/(-6)). Find v such that -6/7*v**2 + h + 4/7*v + 2/7*v**3 = 0.
0, 1, 2
Suppose -5115 + 5274 = 53*o. Factor -21/2*t - o - 27/2*t**2 - 15/2*t**3 - 3/2*t**4.
-3*(t + 1)**3*(t + 2)/2
Suppose 6*q - t - 8 = 4*q, 0 = -5*t - 20. Factor 5*p**q - 17 + 7*p**2 + 8*p**2 - 72*p - 15.
4*(p - 4)*(5*p + 2)
Let m(g) = 19*g**2 + 185*g + 44. Let s be 84/(-714) - (0 + 30/34). Let w(t) = t**2 + 1. Let b(q) = s*w(q) - m(q). Factor b(d).
-5*(d + 9)*(4*d + 1)
Let y be ((-930)/(-36) + 15)*236/(-5). Let p = y - -1929. Factor -1/3*q**2 - 2 + p*q.
-(q - 3)*(q - 2)/3
Let d = -9517 - -9522. Let g(l) be the third derivative of 0*l**3 + 1/16*l**4 - 14*l**2 - 1/240*l**d + 0 + 0*l. Suppose g(i) = 0. Calculate i.
0, 6
Let m(z) be the second derivative of z**5/50 - 7*z**4/10 + 9*z**3 - 55*z**2 - 23*z. What is r in m(r) = 0?
5, 11
Let w(a) be the first derivative of 3/5*a**5 + 33/14*a**2 + 10 + 18/7*a - 33/7*a**3 + 27/28*a**4. What is i in w(i) = 0?
-3, -2/7, 1
Suppose 9*q + 3903 = 3930. Let u be (q/4)/(76/(-896)*-21). Factor u - 2/19*b - 8/19*b**2 + 2/19*b**3.
2*(b - 4)*(b - 1)*(b + 1)/19
Let u(i) be the third derivative of i**5/240 - 73*i**4/96 - 79*i**3/4 - 1630*i**2. Factor u(l).
(l - 79)*(l + 6)/4
Let d = -32182 + 32182. Solve 0 + 5/4*g**4 + 1/2*g - 1/2*g**5 - 5/4*g**2 + d*g**3 = 0 for g.
-1, 0, 1/2, 1, 2
Let y be (2 - (-16)/(-12))*3. Let q be ((-4)/(-10))/((-1)/(-5)). Solve 10 + 4*o**y + 12*o + q*o**2 - o**2 + 3*o = 0.
-2, -1
Let b(n) be the second derivative of n**7/84 + 49*n**6/60 + 171*n**5/8 + 2025*n**4/8 + 1125*n**3 - 80*n. Factor b(v).
v*(v + 4)*(v + 15)**3/2
Let q = -2829 + 2831. Let b(z) be the first derivative of -q*z**2 - 2*z + 0*z**3 + z**4 + 4 + 2/5*z**5. Factor b(k).
2*(k - 1)*(k + 1)**3
Let z(p) = 507*p**2 + 20300*p + 177. Let h(q) = 507*q**2 + 20298*q + 186. Let w(x) = 7*h(x) - 6*z(x). Factor w(m).
3*(m + 40)*(169*m + 2)
Factor 674/13*i**2 - 57120/13*i + 56448/13 - 2/13*i**3.
-2*(i - 168)**2*(i - 1)/13
Let p be (-1)/(-3) - (3100/15)/20. Let r be ((-496)/(-48) + p)/((-2)/(-2)). Determine z so that -z**3 + 0 + r*z**2 - 1/3*z**4 + 1/3*z**5 + 2/3*z = 0.
-1, 0, 1, 2
Let q(f) be the third derivative of -f**6/40 - 31*f**5/20 + 35*f**4/2 - 344*f**2. Factor q(n).
-3*n*(n - 4)*(n + 35)
Let v = 36 + -10. Suppose 0 = -15*y + v*y - 22. What is z in 3/7*z - 3/7 + 6/7*z**y = 0?
-1, 1/2
Factor -157 + 0*t**2 + 3*t**2 - 3*t**2 - t**2 + 0*t**2 - 158*t.
-(t + 1)*(t + 157)
Let q(v) = 3*v**3 - 60*v**2 + 228*v - 43. Let n be q(15). Suppose -1/2*c**n - 3*c - 9/2 = 0. Calculate c.
-3
Let p(f) = -5*f**3 - 261*f**2 - 242*f + 21. Let o(m) = -5*m**3 - 263*m**2 - 246*m + 18. Let k(h) = 7*o(h) - 6*p(h). Factor k(q).
-5*q*(q + 1)*(q + 54)
Let d(k) be the second derivative of 1/3*k**3 - 1/10*k**5 + k**2 + 0 + 26*k - 1/6*k**4. Determine w, given that d(w) = 0.
-1, 1
Let f(j) be the third derivative of j**8/23520 - j**7/1764 + j**6/630 - j**4/12 - 5*j**3/2 + 37*j**2. Let y(o) be the second derivative of f(o). Solve y(q) = 0.
0, 1, 4
Let o(f) = -11*f**2 - 91*f - 168. Let p(v) = -39*v**2 - 318*v - 588. Let l be (-1 - (-3 - -17)) + -3. Let z(y) = l*o(y) + 5*p(y). Solve z(g) = 0 for g.
-14, -2
Let w(d) be the third derivative of -17*d**5/6 + 95*d**4/8 - 115*d**3/6 - d**2 - 1686*d - 1. Let w(r) = 0. What is r?
23/34, 1
Let m = 39878/9 - 199363/45. Factor -51/5*n**2 - 189/5*n + 243/5 - m*n