40 - 9*w**4/16 - 85*w**2 - 9*w. Factor o(i).
i*(i - 3)**3*(i + 1)/2
Let r(g) = -g**2 + 10*g + 4. Let w be r(13). Let i = 51 + w. Solve 4*a**2 + 7*a**2 - i*a**2 = 0.
0
Let p be (-3536)/6188*2/((-8)/14). Determine w, given that 0 + 0*w - 1/5*w**p - 1/5*w**3 = 0.
-1, 0
Let m(d) = d**3 + 21*d**2 - 234*d + 3781. Let g be m(-32). Factor 8/11*i**2 + 0*i + 0 - 64/11*i**3 + 162/11*i**g + 90/11*i**4.
2*i**2*(i + 1)*(9*i - 2)**2/11
Let t(d) be the second derivative of -d**7/14 - 4*d**6/5 + 63*d**5/10 + 19*d**4 - 241*d**3/2 + 198*d**2 - d - 90. Solve t(h) = 0.
-11, -3, 1, 4
Let i(j) be the first derivative of j**6/12 - 3*j**5/10 + j**4/4 + j**3/3 - 3*j**2/4 + j/2 + 1017. Let i(g) = 0. Calculate g.
-1, 1
Let r = 84/2615 + 23199/10460. Determine p, given that -3/4*p**2 + 0 + r*p = 0.
0, 3
Suppose 4*p = 3*b + 381, -p + 23 = 2*b - 64. Let q = p + -90. Factor 12*f**2 + 0*f - 5*f - 6*f - f - q*f**3.
-3*f*(f - 2)**2
Let n(k) be the third derivative of -k**6/60 + 28*k**5/15 - 9*k**4 - 7*k**2 + 52*k - 3. Factor n(j).
-2*j*(j - 54)*(j - 2)
Let l = 9080 + -63520/7. What is k in 3*k**3 - 4/7*k + 0 + l*k**2 = 0?
-2, 0, 2/21
Let a(f) be the second derivative of -f**4/36 - 107*f**3/9 + 215*f**2/6 + 1651*f. Factor a(n).
-(n - 1)*(n + 215)/3
Let z(o) be the first derivative of o**7/210 - o**6/120 - o**5/6 - o**4/3 + o**2/2 - 7*o + 84. Let r(u) be the second derivative of z(u). Factor r(h).
h*(h - 4)*(h + 1)*(h + 2)
Let c(i) be the first derivative of 2*i**5/35 - 4*i**4/7 - 2*i**3/21 + 8*i**2/7 + 1227. Factor c(u).
2*u*(u - 8)*(u - 1)*(u + 1)/7
Suppose 777*i - 780*i = -45. Let p be ((-16)/i)/((-6)/9). Factor -p*f**2 + 2*f - 4/5 + 2/5*f**3.
2*(f - 2)*(f - 1)**2/5
Let h(l) be the third derivative of -19/6*l**4 + l + 59*l**2 + 0 - 1/60*l**5 - 722/3*l**3. Factor h(w).
-(w + 38)**2
Let g(r) be the second derivative of 1/10*r**5 + 33 - 1/3*r**4 + 0*r**2 + 2*r + 1/3*r**3. Factor g(d).
2*d*(d - 1)**2
Let o(r) = 5*r**2 - 4008*r - 8024. Let u(q) = -55*q**2 + 44085*q + 88260. Let d(t) = 65*o(t) + 6*u(t). Suppose d(c) = 0. What is c?
-2, 800
Determine b so that 2/11*b**4 - 6/11*b - 10/11*b**2 + 6/11*b**3 + 8/11 = 0.
-4, -1, 1
Suppose 9 = 3*f + 189*a - 192*a, 0 = -f + 4*a + 6. Factor 0 - 3/4*c**4 - 3/2*c**3 - 3/4*c**f + 0*c.
-3*c**2*(c + 1)**2/4
Let o(k) be the second derivative of 3*k**5/110 + 17*k**4/66 + 2*k**3/3 + 8*k**2/11 - 260*k + 3. Suppose o(c) = 0. Calculate c.
-4, -1, -2/3
Let p(h) be the third derivative of h**6/960 - h**5/80 + 3*h**4/64 - 29*h**3/6 - 118*h**2. Let k(d) be the first derivative of p(d). Let k(m) = 0. What is m?
1, 3
Let c(k) = -15*k**2 + 10002*k - 1663335. Let m(a) = 6*a**2 - 4001*a + 665334. Let q(w) = 5*c(w) + 12*m(w). Let q(p) = 0. What is p?
333
Let o = -110 - -60. Let g = 65 + o. Suppose -g - 16*r - 1 + 4*r**3 + 4*r**2 + 2*r**2 - 2*r**2 = 0. What is r?
-2, -1, 2
Let l = -119 - -116. Let a(g) = -49*g - 145. Let j be a(l). Factor -1/5*q**3 + 1/5*q**4 + 0*q + 0*q**j + 0.
q**3*(q - 1)/5
Factor 2*p**4 + 0*p + 0 + 80/9*p**2 - 188/9*p**3.
2*p**2*(p - 10)*(9*p - 4)/9
Let a = -69534 + 69534. Let v be (-15)/(-6) - 4/2. Let 0*k - v*k**4 + 0*k**2 + a + 1/3*k**3 = 0. Calculate k.
0, 2/3
Suppose 17*n - 18*n + 2 = 0. Suppose g = -n*r - 1, 0*r - g = -5*r + 1. Factor 0 + r*i**2 - 3/8*i**3 + 3/8*i.
-3*i*(i - 1)*(i + 1)/8
Let r(y) = -4*y**2 + 121*y + 394. Let u(x) = -5*x**2 + 122*x + 392. Let k(b) = -8*r(b) + 7*u(b). Factor k(s).
-3*(s + 4)*(s + 34)
Suppose 8*z + 4*x + 604 = 6*z, x - 1 = 0. Let o = 1522/5 + z. Solve 0 - o*n - 2/5*n**2 = 0 for n.
-1, 0
Let s be 12 - (-5 - -17 - (-7)/(-80)). Let d(j) be the third derivative of 3/8*j**5 - s*j**6 + 1/140*j**7 + 38*j**2 - 13/16*j**4 + 0*j + 0 + j**3. Factor d(b).
3*(b - 4)*(b - 1)**3/2
Let c(t) = 4*t**2 - 3266*t - 531383. Let b(f) = -95*f**2 + 75120*f + 12221810. Let v(y) = -3*b(y) - 70*c(y). Let v(i) = 0. What is i?
-326
Let i be (-132)/(-154) + (-16)/(-14). Determine q so that -16*q - 6 + 9*q**2 - 3*q**i - 11808*q**4 + 24*q**3 + 11800*q**4 = 0.
-1/2, 1, 3
Let o(y) = -2*y**3 - 9*y**2 + y + 2. Let v(f) = 21*f**3 + 12272*f**2 + 16302*f + 4069. Let n(p) = -3*o(p) - v(p). Factor n(h).
-5*(h + 1)*(h + 815)*(3*h + 1)
Let m(s) = 4*s**2 + 6771*s + 3397. Let q(p) = -4*p**2 - 10157*p - 5095. Let n(f) = 7*m(f) + 5*q(f). Solve n(j) = 0.
-1/2, 424
Let i be -1 + -8 - (60/12 + -8). Let s be 20/i + (-140)/(-35). Factor 0 - 4/3*c + 2*c**2 - s*c**3.
-2*c*(c - 2)*(c - 1)/3
Factor -i**4 + 56*i**3 + 21*i**3 - 9454*i**2 + 125*i**3 - 3806*i**2 + 943296 - i**3 + 272816*i.
-(i - 68)**3*(i + 3)
Let h(r) be the second derivative of -9/5*r**5 + 50*r + 11/3*r**4 - 20*r**2 + 1 - 2/15*r**6 + 6*r**3. Factor h(t).
-4*(t - 1)**2*(t + 1)*(t + 10)
Suppose -35*c + 251669 - 251599 = 0. Solve 3/5*l**c + 33/5*l + 18 = 0 for l.
-6, -5
Let y be (-68)/(-85) + (6 - ((-90)/225 - 106/(-15))). Factor -2*m - y*m**2 + 68/15.
-2*(m - 2)*(m + 17)/15
Let g be (8 - 1544/40)/(314/(-5)). Let l = g - -2/157. Find n, given that l*n**2 + 32 + 8*n = 0.
-8
Let g(o) be the first derivative of -4*o**5/35 - 3*o**4/14 + 454*o**3/7 + 5423*o**2/7 + 726*o + 1974. Suppose g(t) = 0. Calculate t.
-11, -1/2, 21
Let u be 32/8 + (-18 + -186)/(-17). Let h(o) be the first derivative of -2/3*o + u + 1/27*o**3 + 1/18*o**2. Determine i, given that h(i) = 0.
-3, 2
Suppose 0 = 441*d - 442*d + g + 6, 0 = 3*g + 6. Let b(y) be the second derivative of -26*y - 1/3*y**2 + 0 + 1/27*y**d - 1/27*y**3. Factor b(p).
2*(p + 1)*(2*p - 3)/9
Let l be 1203/(-405) - (0 - 3). Let x = l - -242/945. Solve 0 - 2/7*r**2 + x*r = 0 for r.
0, 1
Let z be 0 + (4 - 3) + (4 - 3). Determine w, given that 6*w**2 + 12 + 26*w + 3*w**z + 7*w**2 + 2*w = 0.
-1, -3/4
Let r(x) be the third derivative of -x**7/3780 - x**6/1080 + x**4/6 - 3*x**3/2 + 46*x**2. Let f(a) be the second derivative of r(a). Factor f(g).
-2*g*(g + 1)/3
Let d(o) be the first derivative of 6/5*o + 6/25*o**5 - 56 - 1/5*o**2 - 1/15*o**6 - 4/5*o**3 + 1/5*o**4. Suppose d(m) = 0. What is m?
-1, 1, 3
Suppose -4*t = l - 13, -3*t + 3*l = -0*l + 9. Let p(z) = 7*z - 3 + 0*z**2 + t*z**2 - 9. Let n(c) = -c**2 - 6*c + 11. Let y(w) = 3*n(w) + 4*p(w). Factor y(d).
5*(d - 1)*(d + 3)
Let t(j) be the third derivative of 1/105*j**7 + 0 + 1/12*j**6 + 0*j - 1/30*j**5 - 22*j**2 + 0*j**3 - 5/12*j**4. Let t(q) = 0. Calculate q.
-5, -1, 0, 1
Let m(c) = -9*c**4 + 86*c**3 - 76*c**2 - 90*c + 81. Let p(g) = 35*g**4 - 345*g**3 + 305*g**2 + 360*g - 325. Let l(b) = 15*m(b) + 4*p(b). Factor l(n).
5*(n - 17)*(n - 1)**2*(n + 1)
Let f = -4092/5 + 1637/2. Let i(k) be the second derivative of -f*k**5 - 5/24*k**4 - 13*k + 0 - 1/6*k**3 + 0*k**2 - 1/60*k**6. Factor i(b).
-b*(b + 1)**2*(b + 2)/2
Factor -64736 - 10*y**3 + 709*y**2 + 6*y**3 + 6*y**3 - 995*y**2 + 11152*y.
2*(y - 68)**2*(y - 7)
Let p be 54/9 + 0 + -3. Let n = 3/2 - 0. Factor p*s - 3/2 - n*s**2.
-3*(s - 1)**2/2
Let p be 124/310 + 1866/210 + -9. Solve 0 + 6/7*o - p*o**2 = 0 for o.
0, 3
Suppose 203 - 323 = -20*s. Let q(g) be the second derivative of -g + 5/12*g**4 + 0*g**2 + 5/6*g**3 - 1/6*g**s + 0 - 1/4*g**5. Determine b, given that q(b) = 0.
-1, 0, 1
Let u = -536094 - -2680474/5. Let g be 2/(1 + 0/(-1)). Factor 12/5*c + 0 + u*c**g.
4*c*(c + 3)/5
Let i(j) = 4*j**3 + 120*j**2 - 127*j - 90. Let d be i(-31). Factor 0 + 0*r - 6/13*r**5 + 0*r**2 + 22/13*r**4 + 8/13*r**d.
-2*r**3*(r - 4)*(3*r + 1)/13
Let d(k) be the first derivative of 80/3*k**3 + 88 - 40*k - 5/2*k**2 - 5/6*k**6 - 8*k**5 + 5/2*k**4. Let d(w) = 0. Calculate w.
-8, -1, 1
Let j(p) be the second derivative of -1/18*p**4 - 5*p - 10/9*p**3 + 0 - 3*p**2. Suppose j(q) = 0. Calculate q.
-9, -1
Let i(a) be the third derivative of a**6/200 - 63*a**5/25 - 1281*a**4/40 - 514*a**3/5 - 5025*a**2. Solve i(v) = 0 for v.
-4, -1, 257
Let g be ((-44)/(-2))/(600/480). Let c = 92/5 - g. Factor c*q**3 + 0 + 0*q + 0*q**2.
4*q**3/5
Let k = -207 + 1661/8. Let c be 16/(-20) + 1116/720. Factor -c*m + 1/8*m**3 - k*m**2 + 0.
m*(m - 6)*(m + 1)/8
Determine d so that -258/7*d**3 - 36*d + 0 + 3/7*d**4 + 507/7*d**2 = 0.
0, 1, 84
Let w be (30/(-9))/((-23)/((-736)/(-12))). Factor -136/9*j - 28/3*j**2 - w - 22/9*j**3 - 2/9*j**4.
-2*(j + 2)**3*(j + 5)/9
Let a(n) = -32*n**2 + 35*n - 55. Let g(j) = -5*j**2 + 6*j - 9. Suppose -9*s + 231 = -120. Let t(d) = s*g(d) - 6*a(d). Factor t(y).
-3*(y - 7)*(y - 1)
Let r(m) be the first