 a(9). Factor d + 20*j**3 + 81/2*j**5 + 2*j**2 + 0*j + 117/2*j**4.
j**2*(j + 1)*(9*j + 2)**2/2
Determine y so that -106*y**2 + 77 - y**3 + 10 - 21 - 50*y + 11*y**3 = 0.
-1, 3/5, 11
Let t(o) be the second derivative of 2*o**6/15 - 18*o**5/5 + 16*o**4 - 92*o**3/3 + 30*o**2 - 2219*o. Find h such that t(h) = 0.
1, 15
Let u be 396/165 + 3/5 + -1. Let w(p) = -p**3 - 1. Let b(j) = -5*j**3 - 15*j**2 + 18*j - 2. Let a(c) = u*w(c) - b(c). Factor a(f).
3*f*(f - 1)*(f + 6)
Suppose 19*a = -73 + 92. Let i(l) = -4*l**2 - 11. Let u(h) = -h**2 + 3*h - 2*h - 1 + 0*h**2. Let x(k) = a*i(k) - 5*u(k). Solve x(f) = 0 for f.
-1, 6
Let q(j) = -12*j**2 - 56*j - 57. Let h be q(-3). Factor -1/3*b**4 + 0 + 0*b**2 + 0*b + 4/3*b**h.
-b**3*(b - 4)/3
Let m = -1231/3 - -421. Suppose -16*r - 5327 = -5391. Factor -m - 80/3*t - 2/3*t**5 - 50/3*t**2 + 10/3*t**r + 10/3*t**3.
-2*(t - 4)**2*(t + 1)**3/3
Let c(f) be the third derivative of -f**8/2856 - 52*f**7/1785 - 53*f**6/60 - 565*f**5/51 - 2200*f**4/51 - 4000*f**3/51 + 2769*f**2. Find t, given that c(t) = 0.
-20, -10, -1
Let w(n) = 2*n**3 + 20*n**2 - 17*n + 79. Let h be w(-11). Let y(o) be the second derivative of 9/14*o**2 + 2/7*o**3 + 0 + 1/28*o**4 - h*o. Solve y(d) = 0 for d.
-3, -1
Let u = -1/1373 + -37064/9611. Let q = 321/56 + u. Factor -9/8 + 3/8*h**3 + 21/8*h - q*h**2.
3*(h - 3)*(h - 1)**2/8
Suppose -104/5*t - 94/5*t**3 + 14/5*t**4 + 196/5*t**2 - 48/5 = 0. What is t?
-2/7, 2, 3
Let g(i) = i**2 + 21*i - 18. Let a be g(-22). Suppose -6 + 14 = a*v. Factor -1/8*s - 1/8*s**5 - 1/8 - 1/8*s**4 + 1/4*s**v + 1/4*s**3.
-(s - 1)**2*(s + 1)**3/8
Suppose -490*s**2 - 1162 + 94487*s - 94489*s + 3*s**3 + 1652*s**2 - s**3 = 0. What is s?
-581, -1, 1
Let k(a) be the second derivative of 4*a - 1/210*a**5 + 1/84*a**4 - 10*a**2 + 0*a**3 + 0. Let b(u) be the first derivative of k(u). Let b(p) = 0. Calculate p.
0, 1
Let 2/11*i**4 - 646/11*i**2 - 328/11 - 156/11*i**3 - 816/11*i = 0. What is i?
-2, -1, 82
Suppose 0 = 37*i - 46*i + 18. What is a in 12*a**i - 8*a - 742 + 367 + 375 - 4*a**3 = 0?
0, 1, 2
Let u be ((-31 - -86) + -54)/(0 + 1/6). Factor -1/4*h**3 - u*h - 4 - 9/4*h**2.
-(h + 1)*(h + 4)**2/4
Let c(m) be the second derivative of 2*m**6/75 - 17*m**5/25 - 19*m**4/5 - 118*m**3/15 - 8*m**2 - 23*m - 14. Factor c(j).
4*(j - 20)*(j + 1)**3/5
Let u be (-3991)/(-6) + (-4)/24. Let g be u/15*((0 - -2) + 1). Factor -129*p**4 - g*p**2 - 399*p**4 - 127*p**5 + 45*p**2 - 8*p - 161*p**5 - 338*p**3.
-2*p*(3*p + 2)**2*(4*p + 1)**2
Let a be (-1 + 4)/(54/28). Let o = 2014133/3 + -671377. What is s in o - 2/9*s**3 + 10/9*s**2 - a*s = 0?
1, 3
Factor 1629507/5*f**3 - 27/5 - 1616241/5*f**2 - 13239/5*f.
3*(f - 1)*(737*f + 3)**2/5
Let v = -10926 - -10926. Let i(n) be the first derivative of 0*n**2 + 2/35*n**5 + 0*n + 0*n**3 - 19 + v*n**4. Let i(a) = 0. Calculate a.
0
Solve -1364 - 2729/2*t - 1/2*t**2 = 0.
-2728, -1
Suppose 2/9*x**2 - 32/3 - 94/9*x = 0. Calculate x.
-1, 48
Let h(o) = 6*o**3 - 234*o**2 - 154*o + 76. Let l(z) = -12*z**3 + 466*z**2 + 308*z - 152. Let n(q) = 18*h(q) + 10*l(q). Suppose n(u) = 0. What is u?
-1, 1/3, 38
Let k(q) = 10980*q - 65880. Let g be k(6). Factor 1/5*h**5 - 3/5*h**4 + 0*h - 1/5*h**3 + g + 3/5*h**2.
h**2*(h - 3)*(h - 1)*(h + 1)/5
Let x(n) be the first derivative of -3*n**6/16 - 123*n**5/40 - 81*n**4/8 + 8*n**3 + 90*n**2 + 150*n - 3614. Find z, given that x(z) = 0.
-10, -2, -5/3, 2
Let t(m) be the third derivative of m**5/12 - 125*m**4/24 - 65*m**3/3 + m**2 - 130*m. Factor t(h).
5*(h - 26)*(h + 1)
Let k(p) be the third derivative of p**6/120 + 19*p**5/60 - 5*p**4/6 - 1850*p**2. Factor k(b).
b*(b - 1)*(b + 20)
Let t(i) be the first derivative of -1/5*i + 7/20*i**2 - 1/4*i**4 + 1/20*i**6 + 0*i**3 + 1/25*i**5 + 160. Determine k so that t(k) = 0.
-2, -1, 1/3, 1
Let t(c) be the third derivative of -2*c**7/105 - 26*c**6/15 - 196*c**5/15 - 32*c**4 - 1098*c**2. Factor t(x).
-4*x*(x + 2)**2*(x + 48)
Factor -754/5*i + 2704/5 - 2/5*i**3 + 68/5*i**2.
-2*(i - 13)**2*(i - 8)/5
Let m be -1*(-6)/4*84976/4746. Let c = m - 2012/77. Factor -8/11 - c*i - 2/11*i**2.
-2*(i + 2)**2/11
Factor -98 + 2/3*j**2 - 28/3*j.
2*(j - 21)*(j + 7)/3
Let x(c) be the second derivative of 0*c**2 - 2/9*c**5 + 23*c + 1/2*c**4 + 1/45*c**6 - 10/27*c**3 - 3. Let x(h) = 0. What is h?
0, 2/3, 1, 5
Let o(l) be the third derivative of l**9/18900 - l**8/420 + l**4/6 + l**3 - 29*l**2 + 3. Let q(k) be the second derivative of o(k). Factor q(s).
4*s**3*(s - 20)/5
Let y(o) be the first derivative of -o**5/15 + o**4/3 - 2*o**3/3 + 5*o**2/2 + 4*o + 79. Let a(p) be the second derivative of y(p). Determine b so that a(b) = 0.
1
What is y in 43*y + 56*y**2 + 45*y - 3*y**4 - y**5 - 51*y**2 + 40 + 78*y**2 + 14*y + 19*y**3 = 0?
-4, -2, -1, 5
Let v(s) = -71*s**2 - 1298*s + 2442. Let l be v(-20). Let 0*q**l + 0 + 4/13*q**3 - 2/13*q**5 + 0*q - 2/13*q**4 = 0. Calculate q.
-2, 0, 1
Let f(x) = -5*x - 4. Let u be f(5). Let m = 31 + u. Determine d so that -m*d**2 + d**3 + d**3 + 2*d - 4*d**3 + 0*d**3 + 2*d**4 = 0.
-1, 0, 1
Let b be (-14 + 21 + -7)*(4 + (-17)/4). Find k such that b + 1/2*k**2 - 2*k = 0.
0, 4
Let q = 7378 + -7373. Let x(j) be the third derivative of 0*j + 0 + 0*j**3 - 1/80*j**q - 1/32*j**4 - 21*j**2. Factor x(m).
-3*m*(m + 1)/4
Let x be (76 - 26139)*(0 - 1). Find u, given that -5*u**2 + x*u - 102 + 2*u**2 - 25958*u = 0.
1, 34
Solve -32/7 + 8/7*b**3 + 2/7*b**4 - 54/7*b**2 + 76/7*b = 0 for b.
-8, 1, 2
Let v = 905/4104 - 49/513. Determine j so that 9/8*j + 3/4*j**2 + v*j**3 + 1/2 = 0.
-4, -1
Let d(a) be the first derivative of -29*a**3 + 3*a**2 + 24*a**3 + 33 - 2*a**2. Determine p, given that d(p) = 0.
0, 2/15
Let v(i) = -2*i**2 - 8*i - 6. Let w = 26 - 23. Let z(a) = -4*a**2 + 0*a + 3*a**2 - 8*a + 4*a - w. Let c(m) = -2*v(m) + 5*z(m). Factor c(k).
-(k + 1)*(k + 3)
What is l in 1/4*l**2 - 227/4*l - 57 = 0?
-1, 228
Let h(q) = -9 + 0 + 10 - 2 - q**2. Let c(f) = 10*f**2 - 25*f + 25. Let a(j) = -c(j) - 5*h(j). Let a(u) = 0. Calculate u.
1, 4
Let h(i) be the first derivative of -5*i**4/9 - 3232*i**3/27 - 7218*i**2 + 5832*i - 579. Determine v so that h(v) = 0.
-81, 2/5
Let i = 30280/22709 - 4/68127. Factor i*n**3 + 0*n - 2/15*n**4 + 0 + 0*n**2.
-2*n**3*(n - 10)/15
Let m be 11 - (-4 + 6) - -4*(-475)/260. Let -m*j - 2/13*j**2 + 0 = 0. What is j?
-11, 0
Suppose 8*r + 168 = 22*r. Let z be (-18)/r*36/(-27). Let -1/3*g**3 + 0*g + 0 - 1/3*g**z = 0. What is g?
-1, 0
Let n be 32/12*(-81)/(-36). Suppose 87*l**4 - 84*l**4 + 15*l**2 - n*l - 8*l**3 - 4*l**3 + 0*l**3 = 0. What is l?
0, 1, 2
Let l(o) be the first derivative of 729*o**4/4 + 2340*o**3 - 2675*o**2/2 + 250*o + 2429. Factor l(z).
(z + 10)*(27*z - 5)**2
Determine n, given that 26033*n**2 + 336 + 273 - 26032*n**2 - 66*n + 480 = 0.
33
Suppose q - 77*b = -75*b + 7, -b - 2 = 0. Find f, given that -15/4*f**q - 12*f**2 - 3*f + 0 + 21/4*f**4 = 0.
-1, -2/7, 0, 2
Let j(v) = -810*v**3 + 755*v**2 - 15*v + 10. Let y(o) = 3*o**3 + 2*o**2 + 2*o - 1. Let c(l) = j(l) + 10*y(l). Factor c(p).
-5*p*(p - 1)*(156*p + 1)
Let w(j) = -4*j**3 - 2*j**2 + 3*j + 4. Let o be 22/(-16) + -2 + 19/8. Let b be w(o). Factor 1495*u**3 - 2 - u + 0*u**2 - 1497*u**b + 2*u**2 + 3*u.
-2*(u - 1)**2*(u + 1)
Suppose 1156*g = 1034*g + 244. Solve -134/3*l - 4/3 - 440*l**g - 1050*l**3 = 0 for l.
-2/7, -1/15
Let o(v) be the first derivative of v**3/4 - 171*v**2/2 + 339*v + 2372. Let o(x) = 0. Calculate x.
2, 226
Let d(b) = b**3 - 31*b**2 - 29*b + 81. Let q be d(32). Let g be 472/q - (0 - 0). Suppose 0 - g*j**3 - 4/3*j**2 + 4*j = 0. Calculate j.
-3/2, 0, 1
Let v(t) be the second derivative of t**4/84 + 3*t**3/14 + 10*t**2/7 - 1103*t. Suppose v(q) = 0. Calculate q.
-5, -4
Let h = 554 - 565. Let f be -5*h/(-495) - 4/(-12). Factor -2/9*k**2 + f*k + 4/3.
-2*(k - 3)*(k + 2)/9
Let j = -2456/165 + 837/55. Let t(l) be the first derivative of 6 - j*l**3 + l**2 + 8*l. Suppose t(r) = 0. Calculate r.
-2, 4
Let w be 14 - 0 - 30/3. Let o(q) be the first derivative of 4/5*q**5 + 0*q - w - 5/8*q**2 + 41/12*q**3 - 11/2*q**4. Let o(c) = 0. Calculate c.
0, 1/4, 5
Suppose 10*d - 72 = 8*d. Suppose 18*n = 20*n - d. Find k, given that -70*k - 28*k - 5*k**2 - 320 + n*k + 0 = 0.
-8
Suppose -i + 5831 = -18*i. Let v = i - -3109/9. Find l such that 2/3*l**5 + 2/9*l**2 + v*l**3 + 0 + 22/9*l**4 - 4/9*l = 0.
-2, -1, 0, 1/3
Let 