lve 14/3*r**4 - 22/3*r**u + 10/3*r**2 + 0 + 0*r - 2/3*r**5 = 0.
0, 1, 5
Let f(w) be the first derivative of -w**5/25 - 13*w**4/20 + 7*w**3/15 + 17*w**2/2 - 78*w/5 + 1328. Solve f(g) = 0 for g.
-13, -3, 1, 2
Let a be (-42)/(-2) - 57645/2989. Let -16/7 - 2/7*y**2 + a*y = 0. What is y?
2, 4
Let u(j) be the second derivative of -10*j**7/21 - 10*j**6/3 - j**5/4 + 95*j**4/3 + 170*j**3/3 + 40*j**2 + 3*j + 563. Let u(h) = 0. Calculate h.
-4, -2, -1/2, 2
Let t(m) be the first derivative of -m**4 - 1/5*m**5 + 25 + 8/3*m**3 + 37*m + 0*m**2. Let q(u) be the first derivative of t(u). Determine o so that q(o) = 0.
-4, 0, 1
Let m(c) be the second derivative of -11*c**7/56 - 237*c**6/40 - 513*c**5/8 - 274*c**4 - 240*c**3 + 5374*c. Determine t, given that m(t) = 0.
-8, -5, -6/11, 0
Let l = -33940 + 33940. What is u in 4/5*u**2 + 0 - 4/5*u**3 + l*u + 1/5*u**4 = 0?
0, 2
Factor -1082 - 5*l**2 + 752 - 502*l - 478*l - 1550 - 1015.
-5*(l + 3)*(l + 193)
Let u = -45461 - -45461. Determine s, given that u + 2/5*s + 2/5*s**2 = 0.
-1, 0
Let w be 2730/(-728) - ((-33)/12 + -6). Let 5/4*a**2 - 1 - 1/4*a**w + 5/4*a**3 - a - 1/4*a**4 = 0. What is a?
-2, -1, 1, 2
Let b(v) be the second derivative of -13/40*v**5 + 1/10*v**6 + 0*v**2 - 1/84*v**7 + 45*v - 2 - 1/3*v**3 + 1/2*v**4. Factor b(j).
-j*(j - 2)**2*(j - 1)**2/2
Let q(j) be the third derivative of 1/6*j**4 - 4/9*j**3 - 1/45*j**5 - 1 - 3*j**2 + 0*j. Factor q(o).
-4*(o - 2)*(o - 1)/3
Let z = -77423 + 387151/5. What is i in -111/5*i - z + 9/5*i**3 - 6/5*i**2 = 0?
-3, -1/3, 4
Let t(r) be the second derivative of -1/165*r**6 + 23/110*r**5 - 7/11*r**4 + 0*r**2 - 57 - 2*r + 0*r**3. Factor t(f).
-2*f**2*(f - 21)*(f - 2)/11
Let t(w) be the third derivative of w**7/15120 + 7*w**6/4320 + w**5/120 - 17*w**4/8 + w**3/3 - 73*w**2. Let n(j) be the second derivative of t(j). Factor n(k).
(k + 1)*(k + 6)/6
Let f = 244 + -379. Let c be 5/(f/12) + (-798)/(-945). Factor 8/5*p**4 + 0*p + 0 + c*p**2 + 2*p**3.
2*p**2*(p + 1)*(4*p + 1)/5
Factor -802/5 - 399/5*u + 1/5*u**2.
(u - 401)*(u + 2)/5
Let 2*d**3 - 60*d**2 + 120 + 3*d**4 - 19525*d + 10*d**3 + 19449*d + d**4 = 0. Calculate d.
-5, -2, 1, 3
Let v be (-48)/(3 + 1) + (-157 - -171). Let 16*y**v + 0 - 4/3*y**4 - 64/3*y + 0*y**3 = 0. Calculate y.
-4, 0, 2
Let a(l) be the second derivative of -5/12*l**4 + 1/30*l**6 + 0 - 1/42*l**7 + 0*l**2 - 72*l + 1/3*l**3 + 3/20*l**5. Factor a(b).
-b*(b - 1)**3*(b + 2)
Let d = -47 + 46. Let p be (d + -1 - -1)*(-2043 - -1). Solve -2042 - 9*m + p + 3*m**2 = 0.
0, 3
Let z(o) = 186*o**2 + 417*o + 48. Let u(c) = -62*c**2 - 138*c - 16. Let a(p) = 7*u(p) + 2*z(p). Determine i so that a(i) = 0.
-2, -4/31
Find a such that -680/3*a**2 - 458/3*a - 4/3 - 226/3*a**3 = 0.
-2, -1, -1/113
Let p be (3 - 2)/(2/8). Suppose -q**p - 3*q**2 + 10*q**2 - 16 + 17 - 6*q**4 + 7*q + 16*q**5 - q**4 - 23*q**3 = 0. Calculate q.
-1, -1/4, 1
Let r(g) be the third derivative of -1/270*g**5 + 0*g**3 + 0*g - 49/108*g**4 + 164*g**2 + 0. Find n such that r(n) = 0.
-49, 0
Let z(r) be the second derivative of -r**5/4 - 1015*r**4/4 - 76500*r**3 + 702270*r**2 + 4*r - 462. Factor z(h).
-5*(h - 3)*(h + 306)**2
Let n(u) = -7*u**2 - u. Let i(h) = -40*h**2 - 70*h + 240. Let m(v) = -i(v) + 5*n(v). Let m(a) = 0. What is a?
-16, 3
Let t(m) be the second derivative of m**5/4 + 1835*m**4/2 + 1346890*m**3 + 988617260*m**2 + 96*m. Factor t(r).
5*(r + 734)**3
Suppose -7*q + 183 = 2*o - 4*q, 2*o - 188 = -4*q. Let d be 202/o - (-36)/378. Let -3/4 + d*v - 1/4*v**4 - 3*v**2 + 3/2*v**3 = 0. Calculate v.
1, 3
Let p(n) be the first derivative of -n**6/15 + 62*n**5/25 - 67*n**4/10 - 1698*n**3/5 - 1944*n**2 - 4320*n - 1179. Factor p(k).
-2*(k - 20)**2*(k + 3)**3/5
Let u(b) be the first derivative of -b**8/336 - b**7/210 + b**6/120 + b**5/60 - b**2/2 + 34*b + 201. Let q(f) be the second derivative of u(f). Factor q(z).
-z**2*(z - 1)*(z + 1)**2
Let g(p) be the third derivative of p**8/4480 + p**7/1680 - p**4/2 - 7*p**3/6 + 54*p**2. Let n(d) be the second derivative of g(d). Find x, given that n(x) = 0.
-1, 0
Let b(a) = -3*a**2 + 538*a - 1797. Let w(t) = -2*t**2 + 542*t - 1776. Let m(q) = 4*b(q) - 5*w(q). Let m(n) = 0. What is n?
-282, 3
Let l = -3361 - -3364. Let g(x) be the second derivative of -1/48*x**l - 26*x + 0*x**2 + 1/160*x**5 + 0*x**4 + 0. Factor g(y).
y*(y - 1)*(y + 1)/8
Let g be (-41)/(-78) + 1*25/(-10) + 2. Let p(i) be the first derivative of 14/65*i**5 - g*i**6 + 40/39*i**3 + 18 - 8/13*i**2 - 9/13*i**4 + 0*i. Factor p(f).
-2*f*(f - 2)**3*(f - 1)/13
Let l(b) = -b**3 - 12*b**2 + 11*b - 15. Let v be l(-13). Let g(m) be the first derivative of -8/9*m**3 + v + 0*m + 2*m**2 - 1/3*m**4. Factor g(c).
-4*c*(c - 1)*(c + 3)/3
Let n = -6 + 8. Suppose 0 = -3*g + q - 5 + 15, 0 = 3*g + 7*q + 22. Let 4*j**2 - 8*j**2 - 4*j**n - 10 - 7*j**g - 35*j = 0. Calculate j.
-2, -1/3
Let k(l) = 24*l**2 + 873*l + 88211. Let m(a) = 13*a**2 + 438*a + 44106. Let i(x) = 6*k(x) - 11*m(x). Suppose i(q) = 0. Calculate q.
-210
Suppose 0*b**2 - 11*b**2 - 222*b + 8*b**2 - 840 + 32*b + 8*b**2 = 0. Calculate b.
-4, 42
Let u = -18573/28 + 4645/7. Let k(t) be the second derivative of u*t**4 + 0 - 27*t - 1/2*t**3 + 0*t**2. Factor k(c).
3*c*(c - 1)
Let i(n) be the first derivative of n**6/27 + 4*n**5/15 - 7*n**4/3 - 304*n**3/27 - 53*n**2/3 - 12*n - 1753. Factor i(b).
2*(b - 6)*(b + 1)**3*(b + 9)/9
What is i in 7216/9*i + 1936/3 - 37/9*i**4 + 64/3*i**3 + 2696/9*i**2 + 1/9*i**5 = 0?
-3, -2, 22
Let h = 580 + -620. Let g be 2/28*10*(-48)/h. What is p in g*p**3 + 8/7*p**2 - 10/7*p - 4/7 = 0?
-2, -1/3, 1
Let l(o) be the first derivative of o**4 - 76*o**3 + 328*o**2 - 432*o - 2885. Factor l(a).
4*(a - 54)*(a - 2)*(a - 1)
Let p(s) be the second derivative of 0 + 0*s**3 + s - 1/105*s**7 + 1/30*s**5 + 0*s**6 + 0*s**4 - 7*s**2. Let c(b) be the first derivative of p(b). Factor c(m).
-2*m**2*(m - 1)*(m + 1)
Let f(h) be the first derivative of -20 + 1/20*h**5 + 5/6*h**3 + 8*h + h**2 + 1/3*h**4. Let o(y) be the first derivative of f(y). Determine l so that o(l) = 0.
-2, -1
Suppose 11*a + 7 = 10*a. Let n(h) = 16*h**3 - 62*h**2 + 83*h - 23. Let j(c) = -8*c**3 + 31*c**2 - 42*c + 11. Let p(o) = a*j(o) - 4*n(o). Factor p(u).
-(u - 1)**2*(8*u - 15)
Solve 846*t**2 + 2973696/5 + 3/5*t**3 + 1495296/5*t = 0.
-704, -2
Factor -34 - 139412*y**2 + 18*y + 139472*y**2 + 8*y**3 - 4*y**4 - 46 - 2*y.
-4*(y - 5)*(y - 1)*(y + 2)**2
Let j = 178 + -10679/60. Let s = j + 19/60. Factor -s*x**2 + 2/3*x + 0.
-x*(x - 2)/3
Factor -102/7*c + 2/7*c**3 + 5780/7 - 48/7*c**2.
2*(c - 17)**2*(c + 10)/7
Let f(y) be the first derivative of 4*y**6/3 + 462*y**5/5 + 1653*y**4 - 1682*y**3/3 - 1000. Factor f(i).
2*i**2*(i + 29)**2*(4*i - 1)
Let q = -73/84 + 85/84. Let h(f) be the second derivative of -q*f**2 - 2/7*f**4 - 9/140*f**5 + 0 - 13/42*f**3 + 32*f. Determine n so that h(n) = 0.
-2, -1/3
Let z(r) be the third derivative of 48*r**2 + 1/120*r**5 - 1/12*r**4 + 0 + 0*r + 0*r**3. Let z(t) = 0. Calculate t.
0, 4
Suppose -28*c - 1067784 = -1067952. Factor 10 + c*t + 1/2*t**2.
(t + 2)*(t + 10)/2
Let k be (36/(-3))/1 + ((-3654)/(-108) - 21). Factor -k*x**2 - 5/6 - 5/3*x.
-5*(x + 1)**2/6
Let p = 125194/3 + -41728. Find l, given that 4*l - p + 28/3*l**2 - 4/3*l**5 + 10*l**4 - 56/3*l**3 = 0.
-1/2, 1, 5
Suppose -3*w - 127 = -292. Let x = w + -160/3. Factor -1 + x*j - 1/3*j**3 - 1/3*j**2.
-(j - 1)**2*(j + 3)/3
Let o(w) be the third derivative of 13*w**6/180 - 79*w**5/135 + 2*w**4/27 - 1955*w**2. Factor o(x).
2*x*(x - 4)*(39*x - 2)/9
Let c(k) be the first derivative of -121 + 27/2*k + 4*k**3 - 3/16*k**4 + 105/8*k**2. Factor c(j).
-3*(j - 18)*(j + 1)**2/4
Let k(r) = 17*r**5 - 10*r**4 + 5*r**3 + 12*r**2 + 12*r + 24. Let v(u) = -2*u**5 + u**4 - u**3 - u**2 - u - 3. Let t(i) = 5*k(i) + 40*v(i). Factor t(p).
5*p*(p - 2)**2*(p + 1)**2
Let t be (2/18)/((-6)/(-36)). Let c = -2/1079 + 4326/5395. Factor t*r**2 + c*r + 2/15.
2*(r + 1)*(5*r + 1)/15
Let y(t) be the second derivative of -t**4/84 + 788*t**3/21 - 310472*t**2/7 + 154*t - 3. Factor y(u).
-(u - 788)**2/7
Let o(n) = -11*n**2 + 8*n - 12. Let l be o(6). Let q = -360 - l. Factor 4/3*z**4 - 8/9*z**3 + 20/9*z**5 + q*z + 0*z**2 + 0.
4*z**3*(z + 1)*(5*z - 2)/9
Let h(y) = 15*y**4 + 24*y**3 + 45*y**2 - 28*y - 52. Let a(g) = -18*g**4 - 24*g**3 - 45*g**2 + 29*g + 53. Let m(s) = -4*a