n -5/2*m**2 - 2103/2*m + 421 = 0?
-421, 2/5
Let f(z) be the third derivative of 0*z - 7/4*z**4 + 0 + 1/20*z**5 + 49/2*z**3 - 39*z**2. Solve f(k) = 0.
7
Let z = -24/15343 + 35350392/76715. Determine c so that 192/5*c + z + 4/5*c**2 = 0.
-24
Let b be 19080/(-19100)*2 - (-4)/2. Let v = 3802/8595 + b. Solve 2/9*q**2 - v*q + 2/9*q**3 + 0 = 0.
-2, 0, 1
Factor -2*i**2 - 1/3*i**3 + 324 + 45*i.
-(i - 12)*(i + 9)**2/3
Let k = -7581 - -37921/5. Factor -4*v + 4/5*v**2 + k.
4*(v - 4)*(v - 1)/5
Let k(h) = -7*h**2 - 49*h - 154. Let j(n) = 20*n**2 + 146*n + 464. Let g(v) = 4*j(v) + 11*k(v). Factor g(d).
3*(d + 6)*(d + 9)
Let m(z) = 3*z**2 - 16*z + 8. Let p be m(5). Determine y so that -2*y**2 + 0*y**2 - 10 - p*y - 4*y - 5*y = 0.
-5, -1
Let q(x) be the first derivative of -x**8/1680 + x**7/720 - x**6/2160 + 19*x**3 + 2. Let z(m) be the third derivative of q(m). Factor z(r).
-r**2*(r - 1)*(6*r - 1)/6
Let c(f) be the second derivative of -726/7*f**2 - 9/28*f**4 + 2 - 25*f - 66/7*f**3. Determine p so that c(p) = 0.
-22/3
Let p(j) be the second derivative of 3*j**5/20 + 33*j**4/4 + 60*j**3 + 174*j**2 + 2407*j. Find t such that p(t) = 0.
-29, -2
Let o(f) be the third derivative of -1/6*f**4 - 1/30*f**5 + 0*f - 96*f**2 - 1/3*f**3 + 0. Factor o(p).
-2*(p + 1)**2
Solve 6*b**2 + 17*b - 2*b**4 - 2*b + 41*b - 13 - b**3 - 19*b**3 - 27 = 0.
-10, -2, 1
Let 53427 - 21535*u - 2*u**3 - u**3 - 2*u**3 + 625*u**2 + 68408 = 0. Calculate u.
7, 59
Factor -2/19*l**2 + 322/19*l + 0.
-2*l*(l - 161)/19
Factor -46/11*b**2 + 0 + 6/11*b.
-2*b*(23*b - 3)/11
Suppose -41*d + 72 = -17*d. Let x(u) be the first derivative of 5/3*u**d + 13 + 5/2*u**2 - 30*u. Determine a so that x(a) = 0.
-3, 2
Let c(d) be the first derivative of -d**4/24 - 423*d**3 - 1610361*d**2 - 2724730812*d - 9409. Suppose c(j) = 0. Calculate j.
-2538
Let t(u) = -27*u + 192. Let z be t(18). Let c = z - -296. Factor -3/8*w**c + 15/4*w - 75/8.
-3*(w - 5)**2/8
Factor 3/8*d**2 + 36 - 105/8*d.
3*(d - 32)*(d - 3)/8
Let j = -5737/4 + 18479/12. Let y = -105 + j. Factor -8/3*c**2 + y*c**4 + 4/3*c**3 - 4/3*c + 2.
2*(c - 1)**2*(c + 1)*(c + 3)/3
Let g(j) be the third derivative of 0 + 2/3*j**3 + 5/12*j**5 + 0*j + 1/336*j**8 + 1/30*j**7 + 2/3*j**4 + 19/120*j**6 - 40*j**2. What is a in g(a) = 0?
-2, -1
Suppose 276 = 75*p - 24. Suppose -4*x = 3*u - p, -4*u - 18 = -2. Find d such that -3/2 + 1/2*d**x + 2*d**3 - 2*d + d**2 = 0.
-3, -1, 1
Let w(l) = -39*l**3 - 3*l**2 - 3*l + 2. Let a be w(-2). Factor -p**2 - a*p**3 + 0*p + 1 + p + 307*p**3.
-(p - 1)*(p + 1)**2
Let v = -99170/9 + 11020. What is q in 8/9 + v*q**4 - 16/9*q + 16/9*q**3 - 2*q**2 = 0?
-2, -1, 2/5, 1
Let p(a) be the first derivative of 1/15*a**5 + 24*a**3 - 7*a**2 - 22 + 2*a**4 + 0*a. Let k(g) be the second derivative of p(g). Find q such that k(q) = 0.
-6
Let f(d) be the third derivative of 2*d**2 - 1/420*d**7 - 16/3*d**3 - 1/2*d**5 - 69 + 13/6*d**4 + 7/120*d**6 + 0*d. What is i in f(i) = 0?
2, 8
Find i, given that -20*i**4 + 2157*i**2 - 4753*i**2 + 550*i - 120 + 2021*i**2 + 65*i**4 = 0.
-4, 1/3, 2/3, 3
Let k(x) = 2*x**5 - 20*x**4 - 24*x**3 - 29*x**2 + 8*x + 7. Let p(f) = f**5 + f**4 + 3*f**3 + 2*f + 1. Let y(s) = 2*k(s) - 14*p(s). Solve y(u) = 0 for u.
-3, -1, -2/5, 0
Let m(f) be the second derivative of -1/150*f**6 + 0*f**2 + 0*f**3 + 31*f - 3 + 1/20*f**5 + 1/10*f**4. Find w such that m(w) = 0.
-1, 0, 6
Suppose 12408*c - 12423*c = 0. Let o(n) be the third derivative of -1/3*n**3 + 1/24*n**4 + 1/60*n**5 + 0*n - 41*n**2 + c. Find t such that o(t) = 0.
-2, 1
Let b(h) be the second derivative of -23/16*h**3 + 35/8*h**2 - 1/96*h**4 + 313*h + 0. Factor b(k).
-(k - 1)*(k + 70)/8
Let m(y) be the third derivative of -y**11/1330560 - y**10/100800 - y**9/26880 + 2*y**5/3 + 14*y**2. Let j(z) be the third derivative of m(z). Factor j(a).
-a**3*(a + 3)**2/4
Let j be 104/(-2240)*-5*-25. Let p = -35/8 - j. Factor -4/7*g**2 + p*g**3 + 0*g + 0.
2*g**2*(5*g - 2)/7
Let g(t) be the second derivative of t**4/90 - 39*t**3/5 - 1873*t. Determine o so that g(o) = 0.
0, 351
Let u(a) be the first derivative of 5*a**4/4 + 20*a**3 - 70*a**2 - 655. Factor u(s).
5*s*(s - 2)*(s + 14)
Let i(f) = -f**2 - f. Suppose 142 + 83 = 75*x. Let y(g) = -4*g**2 - 3*g + 1. Let l = -4 - 11. Let a(d) = l*i(d) + x*y(d). Factor a(u).
3*(u + 1)**2
Factor -76 + 194/5*h - 2/5*h**2.
-2*(h - 95)*(h - 2)/5
Let d(a) be the second derivative of a**4/33 + 5*a**3/11 + 7*a**2/11 - 67*a + 4. Factor d(k).
2*(k + 7)*(2*k + 1)/11
Let t(o) be the first derivative of -3*o**4/28 - 2*o**3/3 - 10*o**2/7 - 8*o/7 + 316. Suppose t(m) = 0. What is m?
-2, -2/3
Let v = 539 + -545. Let s(q) = 16*q**2 - 292*q - 319. Let t(m) = 3*m**2 - 59*m - 64. Let z(u) = v*s(u) + 33*t(u). Find w, given that z(w) = 0.
-1, 66
Suppose 4*h - 21 = 3*h. Let g be (-14)/h*12/(-2). Suppose 20*p**2 + 10*p**g - 30*p**2 + 19*p**5 - 25*p**3 + 6*p**5 = 0. Calculate p.
-1, -2/5, 0, 1
Suppose -21 = -n - 3*m, -n + 1330*m = 1328*m + 14. Let a(k) be the first derivative of -1/5*k**3 + n*k**4 + 1/50*k**5 + 2/5*k**2 - 3/10*k + 22. Factor a(t).
(t - 1)**3*(t + 3)/10
Factor 5/3*l**2 + 5245/3*l - 1750.
5*(l - 1)*(l + 1050)/3
Find w such that -3900*w**3 - 1/2*w**5 - 125000*w - 76*w**4 - 70000*w**2 + 0 = 0.
-50, -2, 0
Suppose 0 = -5*u + 5*s + 20, 0 = -u + 21*s - 19*s + 5. Let d(l) be the first derivative of 0*l + 2*l**2 - 9 - 4/3*l**u. Factor d(t).
-4*t*(t - 1)
Let q = -18314 - -274712/15. Let w(a) be the third derivative of -1/60*a**4 - 1/75*a**5 + 0*a + 0 + 6*a**2 + q*a**3 + 1/300*a**6. Determine i so that w(i) = 0.
-1, 1, 2
Suppose 25 = 5*z, 0 = 2*b - z + 10 - 5. Suppose -8*u + 3*u - t + 25 = b, 5*u = 3*t + 5. Determine f, given that -8/5*f**2 + 0*f**3 + 0 + 0*f + 2/5*f**u = 0.
-2, 0, 2
Let a be ((-24)/(-26))/6 + 321/(-2340). Let r(b) be the third derivative of -8*b**2 + 1/12*b**4 + 0*b - 1/2*b**3 + 0 + a*b**5. Factor r(d).
(d - 1)*(d + 3)
Let f = -245 + 248. Let v(x) be the second derivative of 0*x**2 + 0 - 1/60*x**5 + 1/12*x**4 + 19*x - 1/126*x**7 - 1/30*x**6 + 1/9*x**f. Solve v(p) = 0 for p.
-2, -1, 0, 1
Let m(k) be the first derivative of -184832*k**3/9 + 304*k**2/3 - k/6 - 506. Factor m(f).
-(608*f - 1)**2/6
Suppose 4*l + 7 = 2*d - 63, 0 = -3*d - 4*l + 105. Let q = 37 - d. Factor 14/5*u**4 + 0 + 32/5*u**3 + 4/5*u + 22/5*u**q.
2*u*(u + 1)**2*(7*u + 2)/5
Let x(y) be the second derivative of -y**4/3 + 1780*y**3/3 - 396050*y**2 + 606*y. Factor x(o).
-4*(o - 445)**2
Let t(i) be the third derivative of -i**7/630 - 2*i**6/5 - 216*i**5/5 - 14*i**4/3 + 99*i**2. Let z(v) be the second derivative of t(v). What is a in z(a) = 0?
-36
Let w(i) be the third derivative of -i**6/40 - 57*i**5/20 + 89*i**4/4 - 60*i**3 + 2410*i**2. Factor w(z).
-3*(z - 2)*(z - 1)*(z + 60)
Let i(m) be the second derivative of m**5/20 - 23*m**4/4 - 47*m**3/2 - 71*m**2/2 - 14*m - 60. Factor i(v).
(v - 71)*(v + 1)**2
Let q be ((-48)/(-312))/((-128)/(-416)). Factor 1/4*x - 1/2 + q*x**2 - 1/4*x**3.
-(x - 2)*(x - 1)*(x + 1)/4
Suppose 97 = 5*t + 97. Let o(k) be the third derivative of 0*k + 0*k**3 + 7*k**2 - 1/80*k**5 + t + 1/32*k**4. Let o(m) = 0. Calculate m.
0, 1
Let t(x) be the third derivative of 0 + 0*x**5 - 1/1848*x**8 + 0*x**3 + 29*x**2 + 1/1155*x**7 + 0*x**4 + 0*x**6 + 0*x. Factor t(c).
-2*c**4*(c - 1)/11
Let m be ((-28)/35)/(168/(-315)). Let t(n) be the second derivative of -m*n**2 - 1/12*n**4 - 1/20*n**5 + 5/6*n**3 + 0 - 19*n. Factor t(d).
-(d - 1)**2*(d + 3)
Factor 40/7*a**2 - 2/7*a**3 + 216/7*a - 576/7.
-2*(a - 24)*(a - 2)*(a + 6)/7
Let r be -1*3*-1*(-33)/(-9). Factor -3*v**2 - 24*v**2 + 2*v**2 - 6*v**4 + 34*v**3 - 16*v - r*v**2.
-2*v*(v - 4)*(v - 2)*(3*v + 1)
Factor 0 + 0*t - 1/3*t**4 + 6*t**3 + 19/3*t**2.
-t**2*(t - 19)*(t + 1)/3
Let s be (-18)/(-2)*(-88)/(-396). Find v such that 20*v**3 + 90 - 7*v**3 - 20*v**s - 6*v**3 + 15*v - 5*v**3 - 7*v**3 = 0.
-3, 2
Let c = -125 + 87. Let i = 32 + c. Let l(k) = -k**3 + 12*k**2 - 12*k + 8. Let w(x) = x**3 - 13*x**2 + 12*x - 8. Let g(r) = i*w(r) - 7*l(r). Factor g(s).
(s - 2)**3
Let j(p) be the first derivative of p**6/600 - 2*p**5/25 + 7*p**4/10 - 22*p**3/3 - 157. Let a(s) be the third derivative of j(s). Factor a(b).
3*(b - 14)*(b - 2)/5
Let s(h) be the third derivative of 0*h - 1/30*h**5 - 7 + 8/9*h**3 + 5/18*h**4 - h**2. Suppose s(u) = 0. What is u?
-2/3, 4
Suppose -188*l 