 2)*(c + 1)
Let s be (-3592)/(-10)*(-50)/315*-7. Let l = s - 399. Factor 1/9*y**5 + 5/9*y**4 + 10/9*y**3 + l + 5/9*y + 10/9*y**2.
(y + 1)**5/9
Let -27807*l**2 - 40*l + 13906*l**2 + 13903*l**2 = 0. Calculate l.
0, 20
Let c(v) = 2*v**2 + 7. Let q(k) = 5*k**2 + 15. Let r(g) = -7*c(g) + 3*q(g). Let x be r(3). Suppose -23 + 40 - 17 + x*f**2 - 2*f = 0. Calculate f.
0, 2/5
Suppose 21 = h + 5*m, -5*h + m - 2*m + 81 = 0. Let p be ((-9)/(-6))/(12/h). Factor -18/11*s**p + 12/11 + 6/11*s.
-6*(s - 1)*(3*s + 2)/11
Let k(a) be the first derivative of a**6/14 - 51*a**4/28 - 36*a**3/7 - 30*a**2/7 - 3123. Determine d, given that k(d) = 0.
-2, -1, 0, 5
Let x = 1344 + -624. Let r be (10 + x/(-64))*(-4)/10. Factor 11/2 + 13/2*w**2 + 23/2*w + r*w**3.
(w + 1)**2*(w + 11)/2
Let s(k) be the third derivative of -k**10/1080 + k**9/945 + k**8/560 - 5*k**4/6 - k**3/3 + 2*k**2 + k. Let r(a) be the second derivative of s(a). Factor r(t).
-4*t**3*(t - 1)*(7*t + 3)
Let j(p) be the second derivative of 2/15*p**5 - 1/6*p**3 - 6*p + 0*p**2 - 1/180*p**6 - 4/3*p**4 + 0. Let l(v) be the second derivative of j(v). Factor l(b).
-2*(b - 4)**2
Let f(w) = -2*w**3 - 63*w**2 - 483*w + 57. Let c be f(-18). Solve 99/8*t**c - 69*t**4 - 3/4*t + 54*t**5 + 0 + 27/8*t**2 = 0 for t.
-2/9, 0, 1/4, 1
Let b(x) be the second derivative of -3*x**5/40 - 9*x**4/4 + 495*x**3/4 - 4116*x. Factor b(j).
-3*j*(j - 15)*(j + 33)/2
Let n be (-35)/(-15) - ((-65)/15 + 6). Let q(b) be the first derivative of n*b + 1/6*b**2 - 2/9*b**3 + 40 - 1/12*b**4. Find s such that q(s) = 0.
-2, -1, 1
Let h be (54/8)/(-11 + (-135)/(-12)). Let i be (-21)/(-8) - (-1)/(72/h). Suppose 2/9*y**2 + 4/9*y**i - 2/9*y**4 - 4/9*y + 0 = 0. What is y?
-1, 0, 1, 2
Let o(u) be the third derivative of -u**8/504 - 19*u**7/15 + 67*u**6/10 - 2*u**5/45 - 134*u**4/3 - 3*u**2 - 830*u. Suppose o(f) = 0. Calculate f.
-402, -1, 0, 2
Let p(q) be the first derivative of q**6/12 + 27*q**5/10 + 103*q**4/4 - 10*q**3/3 - 1050*q**2 - 2000*q - 7119. Let p(g) = 0. Calculate g.
-10, -1, 4
Let i(o) = -o**3 - 47*o**2 - 58*o + 122. Let z(w) = -3*w**3 - 133*w**2 - 173*w + 365. Let c(u) = -7*i(u) + 2*z(u). Factor c(r).
(r - 1)*(r + 2)*(r + 62)
Suppose -3*q - 18 = 0, 5*h + 5*q + 22 + 8 = 0. What is x in -2/13*x**2 + 32/13*x + h = 0?
0, 16
Let r = -10233 + 10238. Let z(k) be the third derivative of 0 + 37*k**2 - 1/300*k**r - 1/30*k**4 - 2/15*k**3 + 0*k. Factor z(m).
-(m + 2)**2/5
Let l(y) be the first derivative of 2*y**5 + 42*y**4 - 2012*y**3/15 + 732*y**2/5 - 342*y/5 + 2262. Solve l(q) = 0.
-19, 3/5, 1
Let z(a) be the second derivative of 2*a**7/21 - 46*a**6/15 + 27*a**5 + 81*a**4 - 1944*a**3 - 44*a + 11. Factor z(u).
4*u*(u - 9)**3*(u + 4)
Let t be ((-2)/(-10))/((-41)/(-410)). Suppose 5*x - t*x = 3, -4*g + 3*x + 5 = 0. What is h in 0*h + 0 - 1/2*h**5 + 2*h**4 - 9*h**g + 3/2*h**3 = 0?
-2, 0, 3
Let w(h) be the first derivative of 60*h**2 - 8 - 125*h + 5/3*h**3. Factor w(r).
5*(r - 1)*(r + 25)
Factor 0 + 0*a**2 - 1/4*a**4 - 7/4*a**3 + 0*a.
-a**3*(a + 7)/4
Let g = -22 - 13. Let n be 1 - (4 - 1) - g. Find w, given that 41*w**3 - 25*w + 15 - n*w**3 + 42*w**3 + 50*w**4 + 15*w**5 - 25 = 0.
-1, 2/3
Let p be (3/(-6))/((-1)/8). Suppose 5*a + 7 = 17. Factor -a*g**2 - 6*g**2 + 5*g**2 + p*g**2.
g**2
Let u be 16/10*(-345)/(-138). Let a(n) = -99*n + 396. Let v be a(u). Factor 6 - 2/3*y**2 + v*y.
-2*(y - 3)*(y + 3)/3
Let z = 4590 - 4584. Let t(u) be the first derivative of 4/3*u**3 - 3 + 1/3*u**z - u**2 - 4/5*u**5 + 0*u**4 + 0*u. Factor t(m).
2*m*(m - 1)**3*(m + 1)
Suppose 0 = -178239*u + 178132*u + 214. Factor 2/3*d**u + 1922/3 + 124/3*d.
2*(d + 31)**2/3
Let b = -12522 - -12522. Let f(d) be the third derivative of 0*d**4 + 1/135*d**6 + b + 1/945*d**7 + 0*d**3 + 2/135*d**5 - 10*d**2 + 0*d. Factor f(r).
2*r**2*(r + 2)**2/9
Let s(m) be the second derivative of -m**5/20 - 79*m**4/12 - 455*m - 2. Factor s(c).
-c**2*(c + 79)
Let i(n) = n**3 - 42*n**2 - 90*n + 2023. Let w be i(43). Determine y so that -17/5*y + 0 + 1/5*y**w = 0.
0, 17
Let i be ((-1)/(-4))/(112/(-122048)). Let h = i + 273. Factor 4/7*n**4 + h*n**3 - 12/7*n**2 - 8/7 - 20/7*n.
4*(n - 2)*(n + 1)**3/7
Let n(g) = -211*g**2 + 422*g. Let x be n(2). Let k(a) be the third derivative of -1/600*a**5 + 0 + 11*a**2 + 0*a**4 + x*a**3 + 0*a. Let k(r) = 0. Calculate r.
0
Let q = -101/1080 - -13/120. Let t(b) be the second derivative of 1/189*b**7 + 0*b**4 - q*b**6 + 7*b + 0*b**3 + 0 + 0*b**2 + 1/90*b**5. Factor t(p).
2*p**3*(p - 1)**2/9
Let y(q) be the second derivative of -89*q + 4*q**4 + 2 + 35/2*q**3 + 27*q**2 - 3/20*q**5. Determine g so that y(g) = 0.
-1, 18
Let h(k) = 4*k**2 - 320*k + 6400. Let m(b) = 2*b**2 - 322*b + 6400. Let j(w) = -w**2 - w. Let x(c) = -2*j(c) + m(c). Let o(z) = 3*h(z) - 4*x(z). Factor o(d).
-4*(d - 40)**2
Let n(j) = 5*j**3 - 35*j**2 + 26*j + 62. Let f(h) = -h**3 + h**2 - h - 1. Let r(l) = 20*l + 1. Let z be r(0). Let k(a) = z*n(a) + 2*f(a). Factor k(y).
3*(y - 10)*(y - 2)*(y + 1)
Let y(l) be the third derivative of 0 + 5*l**2 + 0*l**4 - 2*l - 1/120*l**5 + 0*l**3. Factor y(f).
-f**2/2
Let u be (-1)/6*2*-6. Factor -121 - 22*v**3 + v**4 + 56*v - 28*v - 6*v + 120*v**u.
(v - 11)**2*(v - 1)*(v + 1)
Suppose -16*j + 19*j + 1149 = 0. Let r = 385 + j. Factor -2*q - 4 - 1/4*q**r.
-(q + 4)**2/4
Let u(x) be the first derivative of -x**5/60 + 37*x**4/72 - 2*x**3/3 + x**2 + 30*x - 28. Let n(i) be the second derivative of u(i). What is g in n(g) = 0?
1/3, 12
Let h(k) = 7*k - 525. Let g be h(75). Let r(q) be the first derivative of 1/24*q**6 - 19 + 0*q + 1/16*q**4 + 1/10*q**5 + 0*q**2 + g*q**3. Factor r(m).
m**3*(m + 1)**2/4
Suppose -28*b - 75439 = -41*b. Let -b*k**2 + 5854*k**2 + 12*k**3 - 7*k**4 - 144*k - 5*k**3 + 108 + k**5 = 0. Calculate k.
-3, 2, 3
Factor -249 - 748/3*h - 1/3*h**2.
-(h + 1)*(h + 747)/3
Let m(z) = 8*z - 31. Let n be m(4). Let u be (4/n - 4) + 30/55. Let 10/11*x**2 - 14/11*x - 2/11*x**3 + u = 0. Calculate x.
1, 3
Suppose -5*n + 3 = -12. Suppose -n*l + 2*l + 4 = 0. Factor 13*v**5 - 3*v**l - 2*v**5 - v**4 - 3*v**5.
4*v**4*(2*v - 1)
Let u(q) be the first derivative of 4*q**5/5 - 542*q**4 + 4304*q**3 - 12880*q**2 + 17152*q - 4835. Let u(z) = 0. Calculate z.
2, 536
Let v(c) = 30*c**2 - 23619*c + 34904321. Let z(u) = -23*u**2 + 17714*u - 26178238. Let h(s) = 10*v(s) + 13*z(s). Determine q, given that h(q) = 0.
2954
Let h(l) be the second derivative of -5*l**6/14 - 393*l**5/28 - 138*l**4 + 1706*l**3/7 - 1056*l**2/7 - 3*l + 154. Suppose h(o) = 0. What is o?
-16, -11, 2/5
Let n = -186 + 447. Suppose 96*u**3 + 24 + 16*u**4 - 26*u**5 - n*u**2 - 4*u - 2*u**5 + 157*u**2 = 0. Calculate u.
-2, -3/7, 1
Solve -144*i - 35*i**5 + 189*i**3 + 36*i**2 + 31*i**5 - 36*i**4 - 41*i**3 = 0 for i.
-12, -1, 0, 1, 3
Let j(u) be the first derivative of -108*u - 4/3*u**3 - 24*u**2 + 161. Find n, given that j(n) = 0.
-9, -3
Let q(m) = -3*m + 204 + 2*m - 197. Let p be q(5). Factor 86*f**p + 86*f**2 - 175*f**2 - 6*f - 3.
-3*(f + 1)**2
Let i(p) be the first derivative of p**5/15 - 2*p**4 + 47*p**3/3 - 107*p**2/3 + 32*p - 3274. Factor i(y).
(y - 16)*(y - 6)*(y - 1)**2/3
Let v(y) = -5*y**4 - 22*y**3 + 11*y**2 + 43*y - 3. Let s(i) = -44*i**4 - 194*i**3 + 98*i**2 + 386*i - 26. Let t(d) = 6*s(d) - 52*v(d). Factor t(b).
-4*b*(b - 2)*(b + 2)*(b + 5)
Let s be 574/861 + (-42)/(-72). Factor 0 - 5/2*l + s*l**5 - 5/4*l**4 + 25/4*l**2 - 15/4*l**3.
5*l*(l - 1)**3*(l + 2)/4
Let f be 548/2740*(-10)/(-72). Let t(k) be the third derivative of -2/27*k**3 - 1/270*k**5 - k - f*k**4 - 3*k**2 + 0. Factor t(l).
-2*(l + 1)*(l + 2)/9
Suppose -4*j = -2*o + 18, -2*j - 3*o + 1 = -2*o. Let r(b) = 7*b**3 + b**2 - 7*b + 4. Let i(w) = 3*w**3 - 3*w + 2. Let p(k) = j*r(k) + 5*i(k). Factor p(x).
(x - 2)*(x - 1)*(x + 1)
Let h(t) = -t**2 - 21*t - 2. Let n be h(-21). Let c be (n + 1)/(5 - (-96)/(-18)). Suppose 5*w**c + 5*w**3 - 8*w**2 - 8*w**3 = 0. Calculate w.
0, 4
Let i(d) be the first derivative of -2*d**6/3 + 68*d**5/5 - 16*d**4 + 1263. What is g in i(g) = 0?
0, 1, 16
What is h in 23*h**3 + 131*h**2 + 217*h + h**4 - 20350 + 20448 + 10*h**2 = 0?
-14, -7, -1
Let x be (-5 - (-48)/9)/((-1)/(-132)). Let q(y) = -y**2 + 9*y + 3. Let l(w) = 8*w**2 - 62*w - 22. Let z(i) = x*q(i) + 6*l(i). Factor z(c).
4*c*(c + 6)
Let w(i) be the first derivative of 32 + 0*i + 1/5*i**5 - 25/3*i**3 - 1