).
2*k**2*(k - 2)*(k - 1)/5
Solve -4113723/5*r**2 - 48/5 - 28104/5*r = 0.
-4/1171
Let b(l) be the first derivative of -3*l**4/4 - 15*l**3 + 81*l**2 - 917. Factor b(w).
-3*w*(w - 3)*(w + 18)
Let u(c) be the second derivative of c**5/150 - 4*c**4/5 - 223*c**3/45 - 10*c**2 - 3710*c. Determine w so that u(w) = 0.
-2, -1, 75
Let w(y) be the third derivative of y**8/112 - 3*y**7/10 + 17*y**6/20 + 39*y**5/10 - 35*y**4/8 - 57*y**3/2 + 359*y**2 + 7*y. Find c such that w(c) = 0.
-1, 1, 3, 19
Suppose -2*r = 5*u + 1, 18*r - 22*r - 32 = 0. Factor 0 + 6/5*p + 14/5*p**2 + 2*p**u + 2/5*p**4.
2*p*(p + 1)**2*(p + 3)/5
Suppose 51 + 13 = 8*y. Let x(j) be the first derivative of -1/2*j**4 + 3/5*j**5 - 1/6*j**6 + 0*j**2 + 0*j**3 + y + 0*j. Find c, given that x(c) = 0.
0, 1, 2
Let n = 49354 - 49352. Let -1/5*l**3 + l + 2/5*l**n - 6/5 = 0. What is l?
-2, 1, 3
Factor 78 - 3505*p + 2252 + 73*p**2 - 58*p**2.
5*(p - 233)*(3*p - 2)
Factor 827*k**3 + 24*k**2 - 302*k**4 - 809*k**3 + 305*k**4.
3*k**2*(k + 2)*(k + 4)
Suppose -444 = 8*v - 516. Factor -g - 34 - 2*g + 159 + 91 - v*g - 4*g**2.
-4*(g - 6)*(g + 9)
Factor 2 - 160*x + 2574*x**3 - 2769*x**3 + 10*x**4 + 5*x**5 + 340*x**2 - 2.
5*x*(x - 4)*(x - 1)**2*(x + 8)
Let a(o) = -8*o - 98. Let h be a(-14). Find u, given that -h*u**3 + 24 - 44*u + 10*u**3 - 2*u**3 + 2*u**3 + 24*u**2 = 0.
1, 2, 3
Let x(y) be the first derivative of 3*y**5/25 + 141*y**4/20 - y**3/5 - 141*y**2/10 - 3521. Let x(c) = 0. What is c?
-47, -1, 0, 1
Let r = 25446 + -25446. Let k(j) be the second derivative of 1/6*j**3 + r*j**2 + 0 + 1/60*j**6 - 17*j - 3/40*j**5 + 1/84*j**7 - 1/24*j**4. Factor k(q).
q*(q - 1)**2*(q + 1)*(q + 2)/2
Factor -215/4*d - 475/4 - 1/4*d**3 - 29/4*d**2.
-(d + 5)**2*(d + 19)/4
Suppose 82*a + 1422 = 88*a. Suppose -3*c**2 - 116 + a - 36*c - 37 = 0. What is c?
-14, 2
Suppose 5*n = 4*f - 15, 2*f + 3*n = 5*n + 6. Suppose -2*b - 17 + 78 = -3*k, -4*k + 12 = f. What is p in 37 + p**3 - 2*p**2 - 2*p**3 + p - b = 0?
-2, -1, 1
Let o be ((2 - 0) + -2)*(-7)/(-28). Suppose o = 32*n - 59*n + 81. Determine w so that -3/4*w + 1/4*w**5 + 1/2*w**n - 1/4 - 1/2*w**2 + 3/4*w**4 = 0.
-1, 1
Let z(s) = -s**3 - 5*s**2 - 10*s - 10. Let m be z(-3). Factor 20*y - 4*y**m + 56 - 33*y - 39*y.
-4*(y - 1)*(y + 14)
Let i(d) = 5*d + 8. Let f be i(-4). Let l(j) = -j**3 - 11*j**2 + 11*j - 10. Let b be l(f). Solve -6*p + 4 - b*p**2 + 15*p - 7*p = 0.
-1, 2
Let z(l) = -125*l**3 + 3965*l**2 - 29510*l - 33620. Let p(k) = k**2 - k. Let g(v) = -10*p(v) - z(v). Factor g(f).
5*(f + 1)*(5*f - 82)**2
Let w(m) be the second derivative of -841*m**4/4 + 5220*m**3 - 48600*m**2 - 4*m + 371. Factor w(i).
-3*(29*i - 180)**2
Factor 68 - 2/3*i**3 + 208/3*i**2 - 410/3*i.
-2*(i - 102)*(i - 1)**2/3
Factor -532/3*g + 245/3 - 44/3*g**3 + 110*g**2 + 1/3*g**4.
(g - 35)*(g - 7)*(g - 1)**2/3
Let a(c) = 43*c + 8. Let g be a(13). Suppose 5*z - g = 4*z. Factor -5*u**2 + z - 48*u - 855 + 3*u**2.
-2*(u + 12)**2
Let k(b) be the third derivative of b**7/490 + b**6/140 - b**5/20 - 5*b**4/14 - 6*b**3/7 + 159*b**2. Let k(t) = 0. What is t?
-2, -1, 3
Find z such that -218*z + 2522*z**2 + 4648*z**4 - 1956*z**3 + 162*z + 7028*z**3 + 1568*z**5 + 50 + 636*z = 0.
-1, -5/14, -1/4
Let n(r) = 2*r**3 - 23*r**2 + 62*r + 9. Let h be n(7). Factor -40/7 + 4*f - 4/7*f**3 + 16/7*f**h.
-4*(f - 5)*(f - 1)*(f + 2)/7
Suppose 2*v - 47 - 23 = 0. Determine b so that -3*b**2 + 5*b**2 - v*b + 39*b = 0.
-2, 0
Let d(i) be the second derivative of -3*i**5/20 - 94*i**4 - 749*i**3/2 - 561*i**2 - 3*i + 132. Factor d(z).
-3*(z + 1)**2*(z + 374)
Let m = -28 + 33. Let q(x) = 3*x - 13. Let f be q(m). Factor -7*t - 4*t**2 - 3*t**f + 8*t + 6*t**2.
-t*(t - 1)
Factor 196*p - 66*p**2 + 36 + 17*p**3 - 74*p**3 - 181*p - 12*p**2.
-3*(p + 1)**2*(19*p - 12)
Let i be ((-6627)/188)/((-3)/20). Let k be i/94*(-256)/(-25). Let k + 24/5*c**2 - 96/5*c - 2/5*c**3 = 0. Calculate c.
4
Suppose -2*p = -0*p - 3*p. Suppose i = 5*m - 3, p = 4*i + m - 12 - 18. Factor -7*y**2 + 25*y**2 + 9 + i*y - 3*y**4 + 17*y.
-3*(y - 3)*(y + 1)**3
Let x be 20/60 - (7 + (-5635)/276). Factor 39/4*m**2 - x*m**3 + 0 - 9/4*m + 25/4*m**4.
m*(m - 1)*(5*m - 3)**2/4
Let i(p) = -2*p**3 + 11*p**2 - 2*p - 4. Let z(v) = -48*v**2 + 3*v**2 + 6*v**3 + 5 + 744*v - 364*v + 10 - 374*v. Let j(l) = 15*i(l) + 4*z(l). Factor j(n).
-3*n*(n + 2)*(2*n + 1)
Let r(a) = -88*a**2 + 283*a - 243. Let k(o) = -1907 + 1988 + 70*o - 164*o + 29*o**2. Let i(w) = -13*k(w) - 4*r(w). Factor i(q).
-(5*q - 9)**2
Factor 0 - 1/10*q**2 - 27/5*q.
-q*(q + 54)/10
Let y = 3673/2 + -1821. Let m = -153/10 + y. Suppose -2/5*p**4 - 1/5*p**5 + 0*p**3 + m*p + 0 + 2/5*p**2 = 0. What is p?
-1, 0, 1
Let s(u) be the first derivative of 1/5*u**2 + 1/3*u**3 + 1/20*u**4 - 8/5*u + 80. Factor s(n).
(n - 1)*(n + 2)*(n + 4)/5
Let p be (-12)/21*(-250 + 249). Factor -2/7 - 4/7*x**3 + 0*x**2 + p*x + 2/7*x**4.
2*(x - 1)**3*(x + 1)/7
Let y = -2/53365 - -65698/480285. Let s = 649/468 - y. Determine p, given that 5/4*p**4 + 5/2*p**3 - 5/2*p**2 - 5/4*p**5 + s - 5/4*p = 0.
-1, 1
Let o = 44/1129 - -3211/4516. Let z = 81/4 + -20. Let 3/4*d**4 + 1/2*d - o*d**2 - 1/4*d**3 - z*d**5 + 0 = 0. What is d?
-1, 0, 1, 2
Solve -24*q**3 + 0 + 82/7*q**4 - 12/7*q**5 + 138/7*q**2 - 40/7*q = 0 for q.
0, 5/6, 1, 4
Let t = 18/920397985 + 1968518840286/2561467592255. Let a = t + 2/2783. Let 20/13*s**3 - 4/13 - a*s - 10/13*s**5 - 4/13*s**4 + 8/13*s**2 = 0. What is s?
-1, -2/5, 1
Let n(i) be the second derivative of 1/12*i**3 + 0*i**2 - 1/72*i**4 + 0 + 79*i. Factor n(u).
-u*(u - 3)/6
Let 228/5*b + 160/3 - 38/5*b**2 + 2/15*b**3 = 0. Calculate b.
-1, 8, 50
Let r(j) be the second derivative of j**5/15 - j**4/9 - 4*j**3/9 + 672*j. Let r(d) = 0. Calculate d.
-1, 0, 2
Find b, given that -14*b**3 - 112 + 4*b**3 + 967 - 855*b**2 + 7*b**3 + 6*b**3 - 3*b = 0.
-1, 1, 285
Let l be 4*(-5)/(-20)*0. Suppose -4*f - 20 = -4*n, n + 2*f = -l*f + 8. Let -40 - 12*c - 22*c + n*c - 4*c**2 = 0. What is c?
-5, -2
Let q(a) be the first derivative of -188 - 18*a + 3/2*a**2 + a**3. Factor q(p).
3*(p - 2)*(p + 3)
Let d(k) = 5*k**2 - 31*k - 56. Let j(r) = 3*r**2 - 16*r - 36. Let t(c) = -4*d(c) + 7*j(c). Determine i, given that t(i) = 0.
-14, 2
Find h, given that 18*h**2 - 241*h + 78*h + 78*h + 75*h + 177*h**2 = 0.
0, 2/39
Let k(f) be the third derivative of 50/9*f**3 + 0 + 0*f + 1/180*f**5 - 5/18*f**4 + 130*f**2. Find o, given that k(o) = 0.
10
Let n(f) be the third derivative of 2 + 0*f - 7/50*f**5 + 1/200*f**6 + 49/40*f**4 - 6*f**2 + 0*f**3. Factor n(d).
3*d*(d - 7)**2/5
Let b(l) be the first derivative of 0*l + 13 - l**3 - 3/8*l**4 - 1/20*l**5 + 2*l**2. Let a(d) be the second derivative of b(d). What is o in a(o) = 0?
-2, -1
Let b(i) = 9*i**2 - 365*i + 1029. Let p(t) = -14*t**2 + 532*t - 1544. Let l(w) = 8*b(w) + 5*p(w). Factor l(h).
2*(h - 128)*(h - 2)
Suppose 0 = -3*n - 4*a + 6, -69*n + 12*a + 2 = -68*n. Let 2/11*k**n - 46/11 - 4*k = 0. What is k?
-1, 23
Let q be 15 - (65340/210)/22. Factor 0 - q*b - 3/7*b**4 + 3/7*b**2 + 6/7*b**3.
-3*b*(b - 2)*(b - 1)*(b + 1)/7
Let u(g) be the first derivative of -g**4/7 + 4*g**3 - 172*g**2/7 + 384*g/7 - 1870. Factor u(m).
-4*(m - 16)*(m - 3)*(m - 2)/7
Let a(y) = 4*y**2 + 5*y + 2. Let s(u) = 5*u**2 + 6*u + 3. Let c(k) = 4*a(k) - 3*s(k). Let g(x) = -10*x**2 - 56*x - 66. Let t(r) = 6*c(r) + g(r). Factor t(b).
-4*(b + 2)*(b + 9)
Let s(t) be the first derivative of t**3 + 159*t**2/2 + 2100*t + 5074. Factor s(r).
3*(r + 25)*(r + 28)
Let j(b) be the first derivative of b**5/450 + 7*b**4/90 + 8*b**3/15 - 91*b**2/2 - 110. Let q(s) be the second derivative of j(s). Find x, given that q(x) = 0.
-12, -2
Suppose 0 = 4*v - 5 + 1, 0 = 3*j - 3*v - 27. Let t = -1 - -7/5. What is n in t*n**2 - 4*n + j = 0?
5
Let k(s) = -4*s**2 + 3*s + 1. Let j(f) = 13*f**2 - 8*f - 4. Let a(v) = 6*j(v) + 17*k(v). Factor a(b).
(b + 1)*(10*b - 7)
Let m be (-19557)/21730 - 58/(-20). Solve 66/13*f**m - 726/13*f - 2/13*f**3 + 2662/13 = 0 for f.
11
Let u(a) = 15*a**4 + 70*a**3 + 255*a**2 + 175*a - 5. Let n(q) = 8*q**4 + 34*q**3 + 132*q**2 + 87*q - 3. Let v(x) = -5*n(x) + 3*u(x). Let v(j) = 0. What is j?
-3, -2, 0
Let j(k) be the third derivative of 1723969*k**5/450 + 1313*k**4/45 + 4*k**3/45 + 1130*k**2. Find g such that j(g) = 0.
-2/1313
Let p(d) be the second derivative of 0*d**4 - 1/60*d**6 + 0*d**3 + 0 + 