076*g, -4*g - 4*x = -68. Suppose -62/7*z**3 - 20/21*z**4 - 58/7*z + 22/21 + 358/21*z**g = 0. What is z?
-11, 1/5, 1/2, 1
Let y = 1086786 + -3260356/3. Factor -28/3*i + 16 + y*i**2.
2*(i - 12)*(i - 2)/3
Let b(s) be the third derivative of 0 - 11/30*s**4 - s + 1/75*s**5 + 0*s**3 - 24*s**2. Factor b(m).
4*m*(m - 11)/5
Suppose a - 11 = 12. Factor -a + 16*v**4 - 40*v**3 + 52*v**3 - 72*v**2 - 4*v**5 + 23.
-4*v**2*(v - 3)**2*(v + 2)
Let l be (512/(-8064))/((-1)/7) - (-519)/108. Let -1/4*v**5 + l*v**4 - 30*v**3 + 0 + 0*v + 25*v**2 = 0. What is v?
0, 1, 10
Let g(m) be the third derivative of -m**5/12 + 55*m**4/24 - 15*m**3 - 521*m**2 + 2*m. Solve g(l) = 0.
2, 9
Let z(l) = -3*l**2 + 21*l + 4. Let b be z(7). Solve -4*n**2 + b*n + 53*n**2 + 10 + 91*n + 36*n**2 = 0.
-1, -2/17
Factor -1/3*x**2 + 506*x - 192027.
-(x - 759)**2/3
Let m(d) be the third derivative of d**9/7560 - d**8/1400 + d**7/1050 - 101*d**3/6 - 33*d**2. Let v(s) be the first derivative of m(s). Factor v(y).
2*y**3*(y - 2)*(y - 1)/5
Let -47*w + 1/2*w**3 + 11/2*w**2 + 68 = 0. What is w?
-17, 2, 4
Let g(p) = p + 13. Let f(c) = c. Let j(y) = 4*f(y) - 2*g(y). Let z be j(15). Factor -3 - z - o**2 + 2*o**2 + 3.
(o - 2)*(o + 2)
Determine a so that -3/8*a**3 + 2058 - 441*a + 189/8*a**2 = 0.
7, 28
Let 2/11*o**2 + 288800/11 - 1520/11*o = 0. Calculate o.
380
Let j be 67/8 + 1*(-21)/56. Suppose 73*q**2 - 74*q**2 + 3 + j - 10*q = 0. What is q?
-11, 1
Let f be ((-25)/275 + 34/132)*0. Let q(k) be the first derivative of -2/15*k**5 + 1/2*k**4 + 8/9*k**3 + f*k - 26 + 0*k**2. Let q(m) = 0. Calculate m.
-1, 0, 4
Let m(w) be the third derivative of -w**7/6300 - w**6/360 + 3*w**4 + w**3/6 - 53*w**2. Let x(s) be the second derivative of m(s). Suppose x(k) = 0. What is k?
-5, 0
Let m(s) be the second derivative of s**6/50 - 101*s**5/100 - 367*s**4/60 - 37*s**3/10 - 337*s. Suppose m(h) = 0. Calculate h.
-3, -1/3, 0, 37
Let k(p) be the first derivative of 1/12*p**5 - 25/6*p**3 + 0*p - 3 + 5/6*p**4 - p**2. Let q(z) be the second derivative of k(z). Factor q(u).
5*(u - 1)*(u + 5)
Find p, given that -96/7 - 34/7*p**4 - 64/7*p + 160/7*p**2 + 10/7*p**5 - 24/7*p**3 = 0.
-2, -3/5, 2
Let q(l) be the first derivative of -107 - l**3 + 51/2*l**2 + 114*l. Factor q(s).
-3*(s - 19)*(s + 2)
Let m(y) be the first derivative of 3*y**5/5 - 939*y**4/4 - 314*y**3 - 9222. Factor m(b).
3*b**2*(b - 314)*(b + 1)
Let k(a) = -16*a - 5. Let n be k(-1). Suppose -5*c = -4 - n. Suppose -333*s**c + 4*s - 4*s**2 + 4*s**4 + 664*s**3 - 335*s**3 = 0. What is s?
-1, 0, 1
Let d(c) be the first derivative of 6*c + 9/5*c**5 + 37 - 15/4*c**4 + 15/2*c**2 - 5*c**3. Determine x so that d(x) = 0.
-1, -1/3, 1, 2
Let l = 1626357/2 - 813176. Factor 160*j - 150 + l*j**3 - 95/2*j**2.
5*(j - 15)*(j - 2)**2/2
Let x(v) be the second derivative of v**4/4 + 259*v**3 + 201243*v**2/2 + 47*v + 4. Factor x(d).
3*(d + 259)**2
Let h = 10414446/17 + -612843. Let v = 229 + h. Solve 2/17*g**2 - 10/17*g + v = 0.
1, 4
Suppose 7*u**3 + 52*u**3 + 16*u**4 + 6*u**4 + 33*u**2 + 2*u**5 + 19*u**3 + 57*u**2 = 0. What is u?
-5, -3, 0
Suppose -17*h + 1694 = -1944. Solve h*w**4 + 5*w + 3*w**3 - 5*w - 217*w**4 = 0 for w.
0, 1
Suppose -2*o - 4 = 0, 3*o - 89 = -4*c - 83. Let y(a) be the second derivative of -8*a + 6*a**2 + 10/3*a**c + 1/3*a**4 - 1/5*a**5 + 0. Factor y(t).
-4*(t - 3)*(t + 1)**2
Suppose 19 = -a + 29. Let t = -8 + a. Let -x**3 - 44*x - t + 24*x + 23*x = 0. What is x?
-2, 1
Factor -1414562/5 + 3364/5*l - 2/5*l**2.
-2*(l - 841)**2/5
Let y(j) = 2*j**2 + 6*j + 28. Let a be y(0). Let f be 10/a*(-36)/(-15). Factor -2/7*l**2 - f + 8/7*l.
-2*(l - 3)*(l - 1)/7
Determine f so that 2/13*f**3 - 924/13*f**2 + 0 + 106722/13*f = 0.
0, 231
Let s(j) = -2*j**3 + 1. Let l be s(-1). Suppose 3*f - 3 = 0, 3*y = l*f - 4 + 1. Factor -15*d**3 + y*d**2 - 5*d**5 + d**2 - 15*d**4 - 6*d**2.
-5*d**2*(d + 1)**3
Let i = -142646 + 142648. Factor -81/8*f + 81/8*f**i + 3/8*f**4 + 0 - 27/8*f**3.
3*f*(f - 3)**3/8
Suppose 2*d = d - 18. Let u = -13 - d. Let 2*h**3 - h**3 - 5*h**u - 5*h**3 - 10*h**4 - h**3 = 0. What is h?
-1, 0
Let i(b) = -5*b**3 - 29*b**2 - 387*b - 863. Let m(l) = -l**3 + 2*l**2 + l + 1. Let o(r) = 3*i(r) - 12*m(r). Factor o(v).
-3*(v + 3)*(v + 17)**2
Let t = -1028 - -5179/5. Let y(b) be the first derivative of 31 - 2*b**3 + 3/10*b**4 - 42/5*b - t*b**2. Factor y(i).
6*(i - 7)*(i + 1)**2/5
Let a(w) be the first derivative of -w**3/33 - 127*w**2/22 + 258*w/11 - 3017. Solve a(n) = 0 for n.
-129, 2
Let y(v) = -2*v**4 - 4*v**3 + 2*v**2 + 64*v + 2. Let x(b) = -8*b**4 - 12*b**3 + 9*b**2 + 256*b + 9. Let z(a) = 4*x(a) - 18*y(a). Find m such that z(m) = 0.
-4, 0, 2
Let p = -408 + 357. Let c be 8/6 + 527/p + 9. Factor -1/3*v**4 - 2/3*v**3 + 1/3*v**2 + c + 2/3*v.
-v*(v - 1)*(v + 1)*(v + 2)/3
Suppose 0 = j - 2*u - 381 - 730, 5*u = j - 1120. Let n = j - 1102. Factor -8/5*a**2 + 0*a**n + 0 + 2/5*a**4 + 0*a.
2*a**2*(a - 2)*(a + 2)/5
Factor -1/5*c - 56/5 + 1/5*c**2.
(c - 8)*(c + 7)/5
Let n be 40 + 20 + (-20016)/336. Factor -n*r**2 - 117/7 + 120/7*r.
-3*(r - 39)*(r - 1)/7
Let i(f) be the first derivative of -1/6*f**3 - 11/6*f**2 - 7/6*f - 41. Factor i(b).
-(b + 7)*(3*b + 1)/6
Factor 416/3 - 833/3*d - 1/3*d**3 + 418/3*d**2.
-(d - 416)*(d - 1)**2/3
Suppose 5*d - 6*v = -4*v + 55, -4*d = -4*v - 32. Factor d*k + 13*k + 11*k + k**2 - 35*k - k**3.
-k*(k - 2)*(k + 1)
Let g(l) = l**2 - 110*l + 624. Let k be g(104). Let t(r) be the first derivative of -1/18*r**4 + 10/27*r**3 - 18 + k*r + 0*r**2. Factor t(p).
-2*p**2*(p - 5)/9
Let -50/13 - 198/13*y - 42/13*y**4 - 292/13*y**2 - 188/13*y**3 + 2/13*y**5 = 0. Calculate y.
-1, 25
Let n(w) be the first derivative of -20*w**6/33 + 482*w**5/55 - 186*w**4/11 - 3004*w**3/33 - 824*w**2/11 + 90*w/11 - 5984. Find j such that n(j) = 0.
-1, 1/20, 5, 9
Let s(q) be the third derivative of 0 + 1/90*q**6 + 1/30*q**5 - 1/3*q**4 - 1/2*q**3 + 10*q**2 + 0*q. Let a(i) be the first derivative of s(i). Factor a(p).
4*(p - 1)*(p + 2)
Let t(i) be the second derivative of 2*i**7/21 + 2*i**6/5 - 2*i**5/5 - 4*i**4 - 16*i**3/3 - 14*i + 28. Determine h, given that t(h) = 0.
-2, -1, 0, 2
Suppose 162*r - 16*r**5 + 4*r**5 + 3*r**5 + 56 + 7*r**5 + 32*r**3 - 12*r**4 + 148*r**2 = 0. What is r?
-7, -1, 4
Let l be 64/352*(31 - -2) - 448/80. Find q such that 18/5*q + 4 - l*q**2 = 0.
-1, 10
Let t(s) be the first derivative of 2*s**5/5 + 366*s**4 - 2944*s**3 + 8848*s**2 - 11808*s - 1070. Factor t(w).
2*(w - 2)**3*(w + 738)
Let h be 144/(-300)*60/(-72). Let m(c) be the first derivative of 0*c - 27 - c**2 + 1/2*c**4 + h*c**5 - 2/3*c**3. Factor m(n).
2*n*(n - 1)*(n + 1)**2
Let g(d) = d**2 + 10*d + 11. Let i be g(-9). Let o be (-8)/(-28) + (-68)/(-7). Factor 12 - o*k - k**2 - 4*k**i + 7*k**2.
2*(k - 3)*(k - 2)
Suppose -k + 4*n - 2 = 6*n, 0 = -2*k + 2*n + 8. Factor k*g**2 - 4*g**2 - 25*g + 7*g + 44.
-2*(g - 2)*(g + 11)
Let c(i) = i**3 - 14*i**2 + 44*i - 16. Let q be c(4). Let n(p) be the first derivative of 1/6*p**4 + q*p**2 + 1/15*p**5 - 3 + 0*p + 0*p**3. Factor n(v).
v**3*(v + 2)/3
Let d(i) = i**3 + 7*i**2 - i - 5. Let t be d(-7). Suppose 0 = -4*g + 404 - 372. Factor 4*c**4 - 2*c**2 + g*c - 2*c**2 - 8*c**3 - 2*c**2 + 2*c**t.
4*c*(c - 2)*(c - 1)*(c + 1)
Let f(q) be the third derivative of 1/4*q**4 - 1/80*q**6 - 1/280*q**7 - 6*q**2 + 0*q**3 - q + 1/20*q**5 + 0. Solve f(n) = 0 for n.
-2, 0, 2
Let p(l) be the third derivative of -l**7/350 - 933*l**6/100 - 872353*l**5/100 - 217389*l**4/5 - 434312*l**3/5 + 4*l**2 - 701*l. Let p(h) = 0. What is h?
-932, -1
Let k(t) be the second derivative of -23*t - 1/33*t**3 + 0 + 0*t**4 - 41/2*t**2 + 1/330*t**5. Let a(m) be the first derivative of k(m). Factor a(h).
2*(h - 1)*(h + 1)/11
Let j(i) = i**5 - 2*i**4 + 21*i**3 - 10*i - 5. Let f(t) = t**5 + 11*t**3 - 6*t - 3. Let x(z) = 5*f(z) - 3*j(z). Factor x(h).
2*h**3*(h - 1)*(h + 4)
Let c(s) be the third derivative of 8/27*s**3 + 0 + 1/270*s**6 + 0*s - 2/27*s**4 - 1/135*s**5 - 43*s**2. Factor c(q).
4*(q - 2)*(q - 1)*(q + 2)/9
Let d(u) = -3*u**2 - 30 + 289*u - 157*u - 143*u. Let k(p) = -p**2 + 3. Let j(i) = 3*d(i) - 12*k(i). Suppose j(l) = 0. What is l?
-3, 14
Determine y so that 48*y + 818/17 - 2/17*y**2 = 0.
-1, 409
Suppose -154*z**4 + 45*z**4 + 123*z**2 + 112*z**4 + 72*z**3 - 198*z = 0. Calculate z.
-22, -3, 0, 1
Let g be -9*(-36)/81 - (2 -