**2 + 4. Let u(r) be the second derivative of j(r). Solve u(d) = 0 for d.
-1, 1
Let n(p) = -577*p**2 - 3462*p. Let u be n(-6). Factor 2/9*l**5 + 2*l**3 + u + 4/9*l + 10/9*l**4 + 14/9*l**2.
2*l*(l + 1)**3*(l + 2)/9
Let s(z) be the third derivative of -z**6/24 + 199*z**5/12 - 1955*z**4 - 43350*z**3 - 4816*z**2. Factor s(b).
-5*(b - 102)**2*(b + 5)
Suppose z - 4*o = 4*z - 115, 0 = 5*z + 3*o - 199. Suppose 15*q = z + 4. Suppose 6/5*f**2 + 4/5*f + 0 + 2/5*f**q = 0. Calculate f.
-2, -1, 0
Let j(i) be the third derivative of i**7/1470 - i**6/105 - 43*i**5/420 + 43*i**4/84 + 44*i**3/7 + i**2 + 46*i. What is s in j(s) = 0?
-4, -2, 3, 11
Let a(c) = -c**5 - c**4 - 2*c**3 - 6*c**2 + c + 1. Let i(b) = 26*b**4 - 4*b**3 - 12*b**2 + 2*b + 2. Let x(q) = 2*a(q) - i(q). Factor x(n).
-2*n**4*(n + 14)
Let w = 1395 - 1425. Let a be 5/((-13)/(234/w)). Factor 0 - 5/2*c**3 - 13/2*c**2 + a*c.
-c*(c + 3)*(5*c - 2)/2
Let d = -294 - -701. Let v = d - 405. Factor -1/3*f + 1/3*f**3 + 1 - f**v.
(f - 3)*(f - 1)*(f + 1)/3
Let c(h) = 2*h**5 + 6*h**4 - 18*h**3 + 25*h**2 - 9*h. Let m(r) = r**5 - r**4 + r**3 + 2*r**2 - r. Let x = 58 - 59. Let q(z) = x*c(z) + 3*m(z). Factor q(l).
l*(l - 6)*(l - 1)**3
Suppose 4*x**2 - 8*x**2 + 3985*x - 640 - 3657*x = 0. What is x?
2, 80
Suppose -2*v + 12 = 0, 2*s - v + 2*v = 12. Let k(d) be the second derivative of 17*d + 0*d**2 + 1/8*d**s - 1/16*d**4 - 3/40*d**5 + 0. Factor k(p).
-3*p*(p + 1)*(2*p - 1)/4
Suppose 0 = 9*r - r - 480. Solve 5*i**2 + 9*i**2 + 23*i + 33*i - 18*i**2 + r = 0 for i.
-1, 15
Solve 14/9*j**2 - 4/9*j**3 - 2/9*j**4 + 40/9*j + 8/3 = 0.
-2, -1, 3
Let f be 7 - (-6 + (90*9/63 - 0)). What is s in 2/7*s - 3/7 + f*s**2 = 0?
-3, 1
Let n be ((-4)/(-16))/(1/((-48)/(-55))). Let b = n - -2/11. Find a, given that b*a**2 + 0*a + 2/5*a**3 + 0 - 2/5*a**4 - 2/5*a**5 = 0.
-1, 0, 1
Solve -2268/5*s + 3/5*s**2 + 428652/5 = 0 for s.
378
Let z(a) = 324*a**3 + 1390*a**2 + 1366*a - 26. Let h(m) = -644*m**3 - 2781*m**2 - 2733*m + 51. Let k(b) = -6*h(b) - 13*z(b). Factor k(d).
-4*(d + 2)**2*(87*d - 2)
Let x be (1 + 2/4)*(-308)/(-154). Let i be 54/(-36)*(-4)/x. Factor -10/7*g**3 + 2/7*g**4 + 0 + 2/7*g**5 + 0*g + 6/7*g**i.
2*g**2*(g - 1)**2*(g + 3)/7
Let u(w) be the first derivative of 4*w**3/9 + 372*w**2 - 1442. Factor u(i).
4*i*(i + 558)/3
Let w(a) be the third derivative of -a**7/105 + a**6/12 + 4*a**5/15 - a**4 - a**2 - 22*a. Factor w(c).
-2*c*(c - 6)*(c - 1)*(c + 2)
What is s in -4/5*s - 2/5*s**2 + 336/5 = 0?
-14, 12
Determine n so that -117/5*n**3 + 0 - 696*n**2 - 3364/5*n - 1/5*n**4 = 0.
-58, -1, 0
Let v(p) be the second derivative of -p**5/4 + 5*p**4/2 - 15*p**3/2 + 10*p**2 - 2*p + 343. Find w, given that v(w) = 0.
1, 4
Let z(g) = -2*g**3 - g + 4. Let h be z(0). Let x be (h - (3 - 0))/(4/8). Suppose 49 - 2*a - 37 + 3*a**x + 14*a = 0. Calculate a.
-2
Let x(f) = -f - 5. Let i be x(-8). Suppose -r + 5*y = -23, -r + i*y + 24 = 3*r. Factor 0*z + 7 - 2*z**r - 16 + 2*z + z**2 + 8.
-(z - 1)*(z + 1)*(2*z - 1)
Solve 47*g**2 + 4*g**3 + 4*g - 27 + 27 - 96*g - 135*g**2 = 0 for g.
-1, 0, 23
Find x such that -9166 + 19*x**2 + 9266 + 1004*x + 21*x**2 = 0.
-25, -1/10
Let i be (7 - 1)*6*12/(-16). Let r be (i - 0)*(1/(-3) + 0). Factor 6 - r + 4*c - 10*c**2 + 9.
-2*(c - 1)*(5*c + 3)
Solve -80*w**2 - 114*w**2 + 2*w**3 + 34*w**2 + 227*w + 85*w = 0.
0, 2, 78
Let h(k) be the second derivative of -k**4/6 - 110*k**3 - 27225*k**2 + 66*k - 51. Factor h(b).
-2*(b + 165)**2
Let -48896/7*u**2 - 21353580/7*u - 4*u**3 - 6097032/7 = 0. What is u?
-873, -2/7
Let v = 886 - 890. Let o be (v - 38/(-10))/(14/(-35)). Factor -j**2 - j**3 + o*j + 1/2*j**5 + 1/2*j**4 + 1/2.
(j - 1)**2*(j + 1)**3/2
Let t(o) be the third derivative of -16/5*o**4 + 2048/5*o**3 + 0 + 0*o + 1/100*o**5 + 9*o**2. Let t(i) = 0. Calculate i.
64
Let n be (54 - 29) + 1 + -26. Factor -48/13*m**2 - 2/13*m**4 - 22/13*m**3 + n + 72/13*m.
-2*m*(m - 1)*(m + 6)**2/13
Let c be (75809/1353 + -56)*11. Factor -10/3*h + c*h**2 + 3.
(h - 9)*(h - 1)/3
Suppose -3919*i - 734 = -4286*i. Factor -344/3*c - 7396/3 - 4/3*c**i.
-4*(c + 43)**2/3
Let n(l) = -3*l**5 - 14*l**4 + 24*l**3 - 34*l**2 + 12*l. Let g(b) = -2*b**5 - 14*b**4 + 26*b**3 - 34*b**2 + 12*b. Let h(r) = 5*g(r) - 4*n(r). Factor h(j).
2*j*(j - 3)*(j - 2)*(j - 1)**2
Suppose 4*h - h - 548 = -2*s, -4*s + 376 = 2*h. Factor -50*t**4 - 5*t**5 - 196*t + 631*t - 276*t - 319*t - 280*t**2 - h*t**3.
-5*t*(t + 2)**3*(t + 4)
Let i(r) be the second derivative of 63*r**4/4 - 187*r**3/6 - r**2 - 11*r + 3. What is z in i(z) = 0?
-2/189, 1
Let l(h) be the third derivative of 59*h**7/315 - h**6/45 + 1610*h**2. Factor l(m).
2*m**3*(59*m - 4)/3
Let o = 1468201/600 - 2447. Let x(i) be the third derivative of 1/300*i**5 + 0*i + 1/120*i**4 - 1/30*i**3 - 12*i**2 + 0 - o*i**6. Solve x(r) = 0 for r.
-1, 1
Let l(h) be the first derivative of 22*h**5/135 + h**4/54 - 5*h**2/2 + 4*h - 16. Let x(a) be the second derivative of l(a). Factor x(n).
4*n*(22*n + 1)/9
Let o be (((-1120)/48)/(-7))/(368135/(-24548) + 15). Solve -o - 1/3*j**3 - 532*j - 26*j**2 = 0 for j.
-38, -2
Let k = 850382 + -850379. Let s be ((-6)/(-14))/((-2)/(-8)). Let 48/7*n - 12/7 + 3/7*n**2 - s*n**k = 0. Calculate n.
-2, 1/4, 2
Suppose 15*g = -j + 16*g + 59, 0 = -2*j - 3*g + 93. Let v be j/(-8)*(-7)/21. Factor -3/2 + v*x - 3/4*x**2.
-3*(x - 2)*(x - 1)/4
Suppose -n = 3, -4*r + 2*n + 8 = 6*n. Suppose m - 90 = -r*m. Factor -10*o**2 - 1 + 5*o**3 - 30*o + 1 + m*o.
5*o*(o - 3)*(o + 1)
Let p(h) be the first derivative of 4050/13*h + 2/39*h**3 - 90/13*h**2 - 215. Find t, given that p(t) = 0.
45
Let d be 8*9/288 - (-114)/24. Let s = 1106/5 + -220. What is p in 8/5*p**3 - 4/5*p - 6/5*p**2 - 4/5*p**d + 0 + s*p**4 = 0?
-1, -1/2, 0, 1, 2
Let v be 141/(19740/(-1225)) + (-9)/(-1). Factor 7/4*i - 9/2 + v*i**2.
(i - 2)*(i + 9)/4
Let c be 5 - 60/(-44) - (3 + (1 - -2)). Let l(s) be the first derivative of 6 - 3/11*s**2 + 2/33*s**3 + c*s. Factor l(r).
2*(r - 2)*(r - 1)/11
Let z = -666944 + 666944. Let 0 + z*h + 12/5*h**2 + 2/5*h**5 - 2*h**3 - 4/5*h**4 = 0. Calculate h.
-2, 0, 1, 3
Let i(t) be the first derivative of 7*t**8/16 - 2*t**7/5 - 3*t**6/10 + t**2 + 43*t + 29. Let f(w) be the second derivative of i(w). Find v such that f(v) = 0.
-2/7, 0, 6/7
Let i(u) be the first derivative of u**8/11760 - u**7/2940 - u**6/840 - 59*u**3/3 + 28. Let x(q) be the third derivative of i(q). Suppose x(g) = 0. Calculate g.
-1, 0, 3
Suppose 0 = -9*k + 20 - 11. Suppose -4*j = -7 - k. Determine i so that -6*i**3 + 22/5*i - 4/5 + 18/5*i**4 - 22/5*i**j = 0.
-1, 1/3, 2
Let h(r) = -7*r**3 - 81*r**2 + 852*r + 932. Let n(y) = -5*y**3 - 79*y**2 + 855*y + 933. Let t(x) = -2*h(x) + 3*n(x). Factor t(k).
-(k - 11)*(k + 1)*(k + 85)
Let m(w) be the first derivative of -2/3*w**6 + 0*w + 0*w**4 + 64/3*w**3 - 16/5*w**5 + 81 + 32*w**2. Factor m(v).
-4*v*(v - 2)*(v + 2)**3
Let j = 199529 - 199527. Factor 0 + 4/3*k + 2/3*k**j.
2*k*(k + 2)/3
Let r(b) be the second derivative of -b**4/6 + 67*b**3 + 406*b**2 - 9697*b. Solve r(k) = 0.
-2, 203
Let g(v) be the third derivative of 0*v**6 - 158*v**2 + 0*v**3 - 2/1995*v**7 + 0*v**4 + 1/3192*v**8 + 0*v**5 + 0 + 0*v. Solve g(y) = 0 for y.
0, 2
Let b be 180/990 + (-4)/143 + 0. Factor -24/13*p + b*p**4 + 8/13*p**2 + 0 + 14/13*p**3.
2*p*(p - 1)*(p + 2)*(p + 6)/13
Let d(g) be the third derivative of 166*g**2 - 3/20*g**6 + 2*g + 0 + 0*g**3 + 25/3*g**4 + g**5 + 1/210*g**7. Factor d(q).
q*(q - 10)**2*(q + 2)
Suppose -77*f + 80*f - 5*l = 22, 4*l = 4*f - 24. Factor 92/5*z**2 + 8*z - 112/5 + 4/5*z**f + 2/5*z**5 - 58/5*z**3.
2*(z - 2)**3*(z + 1)*(z + 7)/5
Let z(v) be the first derivative of 40/7*v**4 + 152/21*v**3 - 145 + 16/7*v**2 - 10/7*v**5 + 0*v. Let z(c) = 0. Calculate c.
-2/5, 0, 4
Let x(w) = -w**3 - 2*w**2 + 2. Let s be x(-2). Suppose -4 = -t - s. Factor 6*f**3 - 8*f - 4*f**4 + 4*f - 2*f**t + 4*f.
-2*f**2*(f - 1)*(2*f - 1)
Let m = -58948 + 58951. Factor -1898/7*u**2 - 72/7 - 162/7*u**4 + 1044/7*u**m + 696/7*u.
-2*(u - 3)**2*(9*u - 2)**2/7
Let r(o) be the second derivative of 1/15*o**5 + 7*o + 0 - 3*o**2 + 0*o**4 + 0*o**3. Let c(i) be the first derivative of r(i). Find g such that c(g) = 0.
0
Let -62*z**2 - 2/5*z**4 + 44/5*z**3 - 96 + 748/5*z = 0. Calculate z.
1, 3, 8, 10
Suppose 5*i - 3*n = -23, 3*i - 5*n + 2*n + 15 = 0. Let f be (i/(-14))/((-7)/(-539)). Find 