the second derivative of 170*u - 2/9*u**4 + 0 + 1/30*u**5 + 1/9*u**3 + 2*u**2. Determine g, given that s(g) = 0.
-1, 2, 3
Let x = 86391 + -86388. Factor 0*a**2 - 2/3*a**x + 2*a - 4/3.
-2*(a - 1)**2*(a + 2)/3
Let z(g) be the first derivative of g**4 - 44*g**3/3 - 236*g**2 + 1088*g - 3257. Factor z(y).
4*(y - 17)*(y - 2)*(y + 8)
Suppose 0 = 3*c + x + 36 - 38, 3*c - 3*x = 30. Let w(m) be the first derivative of 14 - 9/2*m**2 + 0*m + m**c. Factor w(r).
3*r*(r - 3)
Let t(h) be the first derivative of h**6/10 + 36*h**5 - 1359*h**4/10 + 908*h**3/5 - 909*h**2/10 - 3110. Factor t(y).
3*y*(y - 1)**3*(y + 303)/5
Solve -278/9 + 277/9*z + 1/9*z**2 = 0.
-278, 1
Find n, given that 20/9*n + 4/9*n**5 - 22/9*n**4 + 0*n**3 + 46/9*n**2 + 0 = 0.
-1, -1/2, 0, 2, 5
Factor 26*p**3 + 5 + 48*p**2 + p**4 - 72*p - 3*p**2 - 5.
p*(p - 1)*(p + 3)*(p + 24)
Let k(v) be the second derivative of -3*v**5/130 + 85*v**4/78 + 148*v**3/39 + 60*v**2/13 + 2*v - 715. Let k(r) = 0. Calculate r.
-1, -2/3, 30
Let c(v) be the first derivative of 0*v - 3/16*v**4 + 1/4*v**2 + 1/20*v**5 - 1/12*v**3 + 1/24*v**6 + 164. Factor c(s).
s*(s - 1)**2*(s + 1)*(s + 2)/4
Let j(o) = -26*o - 5*o + 2224 - 1946 + 8*o. Let u be j(12). Determine k, given that -2/5 + 2/5*k - 1/10*k**u = 0.
2
Let i be 56/(-90)*4 + (-15)/135. Let t = -11/5 - i. Suppose -4/5*h**4 + 0*h**2 + 0*h + 0 - 2/5*h**5 - t*h**3 = 0. What is h?
-1, 0
Let y(x) be the second derivative of -x**5/90 + 5*x**4/54 + x**3/27 - 5*x**2/9 - 17*x - 15. Factor y(w).
-2*(w - 5)*(w - 1)*(w + 1)/9
Solve 21/5*i**5 + 12/5*i + 6/5*i**4 + 0 + 24/5*i**2 - 63/5*i**3 = 0.
-2, -2/7, 0, 1
Factor 2*k - 36/7 + 2/7*k**2.
2*(k - 2)*(k + 9)/7
Let s(j) = j**2 + 45*j - 330. Let d be s(-52). Suppose 0 = d*r + 100 - 168. Suppose -8/3 - 1/3*a**2 - r*a = 0. Calculate a.
-4, -2
Let i(w) be the third derivative of -23/48*w**5 - 108*w + 0 - w**2 + 1/32*w**6 + 5/3*w**4 - 5/2*w**3. Factor i(t).
5*(t - 6)*(t - 1)*(3*t - 2)/4
Let v = -287/10 - -144653/5040. Let t(c) be the third derivative of 0 + 0*c**3 + 0*c**4 + 0*c + 1/630*c**7 + v*c**8 + 0*c**5 - 8*c**2 + 0*c**6. Factor t(m).
m**4*(m + 1)/3
Determine q, given that -1486*q - 384 - 24*q**3 + 64*q - 727 - 292*q**2 - 581 + 22*q**3 = 0.
-141, -3, -2
Let o(d) be the second derivative of -d**5/90 - 83*d**4/54 - 415*d. Factor o(z).
-2*z**2*(z + 83)/9
Find b, given that -1108838*b - 6*b**2 + b**2 + 1108753*b = 0.
-17, 0
Let l = -28 + 32. Suppose h = l - 2, -5*h + 6 = -o. Suppose -3 - 1 + o + y**3 = 0. What is y?
0
Let g(i) be the third derivative of -i**6/30 + i**5/15 + 20*i**4 + 312*i**3 + 28*i**2 + 16. Suppose g(d) = 0. What is d?
-6, 13
Let 1/2*n**2 + 87/2*n + 0 = 0. Calculate n.
-87, 0
Let g(o) be the third derivative of -59*o**2 + 0*o + 9/40*o**6 + 0*o**3 + 0 - 2/21*o**7 + 1/6*o**4 + 2/5*o**5. Factor g(l).
-l*(l - 2)*(4*l + 1)*(5*l + 2)
Let h(t) be the third derivative of -17*t**8/84 + 58*t**7/35 - 73*t**6/15 + 28*t**5/5 - 4*t**4/3 - 228*t**2. Determine g, given that h(g) = 0.
0, 2/17, 1, 2
Let z(k) be the second derivative of -k**4/16 + 374*k**3 - 839256*k**2 + 43*k. Factor z(t).
-3*(t - 1496)**2/4
Let w = 193 + -176. Let m(i) be the second derivative of -13/15*i**4 + 0 - w*i + 22/15*i**3 - 4/5*i**2 + 4/25*i**5. Suppose m(z) = 0. Calculate z.
1/4, 1, 2
Let m be (10 - 54)/(12/(-33)). Let n be (0 - m/(-10)) + (-308)/(-770). Factor -1/2*h**2 - 5*h - n.
-(h + 5)**2/2
Suppose -4*r = -3*j + 87, 14*r = 12*r. Let i be (-104)/24 + 4 - j/(-69). Factor -2/23*b**4 + 0*b**3 + i*b**5 + 0*b + 0 + 0*b**2.
2*b**4*(b - 1)/23
Let h(n) = 2*n**3 + n**2 - n - 19. Let l(k) = -10*k**3 + 10*k**2 + 46*k + 146. Let d(w) = 6*h(w) + l(w). What is i in d(i) = 0?
-4, -2
What is l in 2028*l**2 - 1948*l**2 + 4*l**3 - 16*l - 315 + 0*l**3 - 5 = 0?
-20, -2, 2
Let u(i) be the third derivative of 1/60*i**5 + 9*i + 7*i**2 + 35/24*i**4 + 0 - 6*i**3. Factor u(r).
(r - 1)*(r + 36)
Let t be ((-14)/49)/(-1*4/(-28)). Let x be (3/4*t)/(-6). Factor -1/4*w**4 - x*w**3 + 1/4*w + 1/4*w**2 + 0.
-w*(w - 1)*(w + 1)**2/4
Find h such that 1255 + 40*h**2 - 20*h - 11*h**3 - 1255 + 6*h**3 - 55*h = 0.
0, 3, 5
Let t(o) = 52*o - 32. Let d be t(-4). Let s be (-80)/d + 2/6. Find i, given that -s*i + 0*i**2 + 2/3*i**3 + 0 = 0.
-1, 0, 1
Let m(k) be the first derivative of -k**4/2 - 580*k**3/3 + 877*k**2 - 1172*k - 9044. Solve m(n) = 0.
-293, 1, 2
Let u(z) = 17*z**2 + z + 1. Let a be u(-1). Factor 12*k**3 + 5*k**2 - 10*k**2 + 10*k - a*k**3.
-5*k*(k - 1)*(k + 2)
Let -20/11 + 18/11*i**4 - 4/11*i**5 + 2*i**3 - 6*i - 46/11*i**2 = 0. Calculate i.
-1, -1/2, 2, 5
Let s(d) be the second derivative of -25/14*d**7 - 11*d - 7*d**6 + 0*d**2 + 13*d**4 - 8 + 6*d**3 + 93/20*d**5. What is i in s(i) = 0?
-3, -2/5, 0, 1
Let 0 - 912/7*w - 4/7*w**2 = 0. Calculate w.
-228, 0
Let x(g) be the third derivative of g**7/980 - g**6/210 - g**5/140 + g**4/14 - 29*g**3/6 + 8*g**2 + 6. Let o(p) be the first derivative of x(p). Factor o(a).
6*(a - 2)*(a - 1)*(a + 1)/7
Suppose 3*r - z - 12 - 10 = 0, -4*r + 4*z = -72. Factor -2*m**r - 22*m - 121/2.
-(2*m + 11)**2/2
Let i = -10237 + 10240. Let m(h) be the second derivative of -8*h + 0 + 1/15*h**6 - 1/2*h**4 + 1/3*h**i + 2*h**2 - 1/10*h**5. Factor m(u).
2*(u - 2)*(u - 1)*(u + 1)**2
Let r = -1519 + 1826. Let g be (-126)/(-2646) - r/(-21). Find x, given that 16/3*x + 2/3 + g*x**2 + 6*x**4 + 16*x**3 = 0.
-1, -1/3
Let c be (-6)/40 - (-47)/((-14805)/(-126)). Find x such that -1/4*x**3 + 9/4*x - c*x**2 + 9/4 = 0.
-3, -1, 3
Let c = 43916 - 219577/5. Let -2/5*o**3 + c*o**2 + 3/5 + 8/5*o = 0. What is o?
-1, -1/2, 3
Let p(w) = -w**2 + 6*w + 27. Let q be p(-3). Suppose 4*v - 56 + 48 = q. Factor 1 - 17/2*d + 22*d**3 + 25/2*d**v.
(d + 1)*(4*d - 1)*(11*d - 2)/2
Let k(c) be the second derivative of c**5/60 + 11*c**4/18 + 145*c**3/18 + 50*c**2 - 3*c - 99. Factor k(o).
(o + 5)**2*(o + 12)/3
Let a = 31 - 33. Let r be (3 - 2)/(-1*1/a). Factor -96*h - 1 + 11 + 51*h**r + 23 + 27 - 9*h**3.
-3*(h - 2)**2*(3*h - 5)
Let v(x) be the first derivative of 7*x**8/48 + x**7/3 - x**6/40 - x**5/3 + x**4/6 - 41*x**2/2 - 15. Let c(h) be the second derivative of v(h). Factor c(z).
z*(z + 1)**2*(7*z - 2)**2
Let 489/5*y**2 - 864/5 + 111/5*y**3 + 3/5*y**4 + 261/5*y = 0. What is y?
-32, -3, 1
Let x(i) be the second derivative of i**7/6300 + 41*i**6/900 + 1681*i**5/300 - 35*i**4/6 + 144*i. Let f(k) be the third derivative of x(k). Factor f(c).
2*(c + 41)**2/5
Factor 7130*f - 5*f**2 + 30*f**2 - 4*f**2 + 2541845 - 11*f**2 - 5*f**2.
5*(f + 713)**2
Let h(t) = 15*t**3 + 720*t**2 + 2450*t + 1915. Let f(z) = 2*z**3 + 90*z**2 + 306*z + 241. Let r(j) = 25*f(j) - 3*h(j). Suppose r(v) = 0. Calculate v.
-14, -2
Let y be (-4)/21*-3*(-21)/(-6). Suppose 4*x - 4*i - i - 7 = 0, -2*i - 4 = -y*x. Solve 3*t + 14*t + x*t**2 + 2*t**2 + 3*t = 0.
-4, 0
Let z(f) be the second derivative of -35/6*f**4 + 0*f**2 - 245/2*f**3 + 7 - 1/12*f**5 + 7*f. Factor z(x).
-5*x*(x + 21)**2/3
Let q(u) = -u**3 + u**2 - 2*u - 2. Let k(i) = 10*i**3 - 8*i**2 + 47*i + 43. Let t(z) = -k(z) - 11*q(z). Factor t(v).
(v - 7)*(v + 1)*(v + 3)
Let t(a) = -571*a - 6850. Let l be t(-12). Determine f so that 14623232/11 - 416/11*f**3 + 2/11*f**4 + 32448/11*f**l - 1124864/11*f = 0.
52
What is o in 0 - 11/8*o**4 + 11/8*o**2 + 1/2*o**5 + 3/8*o - 7/8*o**3 = 0?
-1, -1/4, 0, 1, 3
Let b(p) = p + 2. Let w be b(-20). Let h = -16 - w. Factor 9*c + 17*c - 3*c**2 - c - 2*c**h.
-5*c*(c - 5)
Let u(g) = -g**2 - 6432*g - 3447514. Let h(q) = -6*q**2 - 45024*q - 24132579. Let f(z) = -2*h(z) + 15*u(z). Factor f(s).
-3*(s + 1072)**2
Let r(j) be the third derivative of j**5/420 - 555*j**4/56 - 119*j**3/3 + 1074*j**2. Factor r(f).
(f - 1666)*(f + 1)/7
Let h(i) be the second derivative of -9*i**5/100 - 17*i**4/3 - 286*i**3/15 + 72*i**2/5 - 5*i - 25. Factor h(t).
-(t + 2)*(t + 36)*(9*t - 2)/5
Suppose -158 = 3*d - 53. Let i(g) = -65*g**3 + 720*g**2 + 1530*g + 815. Let s(b) = -11*b**3 + 120*b**2 + 255*b + 136. Let y(k) = d*s(k) + 6*i(k). Factor y(j).
-5*(j - 26)*(j + 1)**2
Let s be 2318/238 - 66/(-561). Let j = s - 200/21. What is h in 1/9*h**3 - j*h**2 + 0 + 2/9*h = 0?
0, 1, 2
Let c be (-1 - 8/6)/(1407/(-2010)). Determine y, given that 16/3*y**2 - 2/3*y**3 - 100/3 - c*y = 0.
-2, 5
Determine y, given that -8/3*y**2 + 421*y + 158/3 = 0.
-1/8, 158
Let b be (237/553 + (-4)/(-7))*3/((-6)/(-4)). Factor 1