**2 + 0 + 5/24*d**4 + 0*d - d**3. Factor c(l).
(l - 1)*(l + 6)
Let m(l) = 3*l**5 - 2*l**4 - 30*l**3 + 76*l**2 + 51*l - 26. Let n(o) = o**5 - 10*o**3 + 26*o**2 + 18*o - 8. Let a(p) = 3*m(p) - 8*n(p). Solve a(y) = 0.
-2, -1, 1, 7
Let d(u) be the second derivative of u**4/102 + 327*u**3/17 + 792*u. Factor d(x).
2*x*(x + 981)/17
Let q be (-4)/(-12)*-1 + 1930/(-30)*-5. Solve -q*h**3 - 1/3*h**5 + 7360/3*h**2 + 52/3*h**4 + 16384/3 - 19456/3*h = 0 for h.
2, 16
Solve 4/5*r**4 - 19/5*r**3 - 72/5 + 1/5*r**5 - 22/5*r**2 + 108/5*r = 0.
-6, -3, 1, 2
Let r = 149324/9 - 746368/45. Factor 26/5*x + 2/5*x**2 - r.
2*(x - 1)*(x + 14)/5
Let z(n) be the second derivative of -n**5/20 - 7*n**4/12 + 41*n**3/6 - 33*n**2/2 + 6*n + 93. Factor z(y).
-(y - 3)*(y - 1)*(y + 11)
Let n be ((-806)/(-8))/(5/(3 + 17)). Suppose -3*x + n = 103. What is h in -102*h**3 + 2 + x*h**3 - 2*h**2 + 9 - 3 + 8*h = 0?
-2, -1, 2
Let h(k) = 185*k**3 - 400*k**2 + 215*k - 10. Let o(f) = -93*f**3 + 199*f**2 - 107*f + 5. Suppose 0 = 3*x - 278 + 284. Let c(b) = x*h(b) - 5*o(b). Factor c(j).
5*(j - 1)**2*(19*j - 1)
Let i be -1445 - -1459 - (27 + 3)*6/15. Determine m, given that 4/13 - 6/13*m - 6/13*m**5 + 4/13*m**4 + 12/13*m**3 - 8/13*m**i = 0.
-1, 2/3, 1
Factor 40*n + 58*n**2 - 41*n**2 + 74 - 18*n**2 + 33*n.
-(n - 74)*(n + 1)
Suppose -v = 3*v - 20. Suppose v*q - 12 = -q. Suppose -q*n**3 + 7*n**3 - 7*n**3 + 8 + 14*n + 4*n**2 = 0. What is n?
-1, 4
Let u(c) = c**3 + 15*c**2 + c + 20. Let b be -45*(-2 + 1)*1/(-3). Let d be u(b). Find r such that 1/4*r**4 + 1/4*r**3 - 1/4*r**2 + 0*r - 1/4*r**d + 0 = 0.
-1, 0, 1
Let a(r) be the second derivative of r**8/448 + r**7/70 + r**6/32 + r**5/40 + 48*r**2 - 79*r. Let c(j) be the first derivative of a(j). Factor c(w).
3*w**2*(w + 1)**2*(w + 2)/4
Let l(j) be the second derivative of 0*j**3 + 1/84*j**7 + 0*j**2 + 0*j**6 - 1/40*j**5 + 0 + 0*j**4 + 80*j. Determine s, given that l(s) = 0.
-1, 0, 1
Let p = 1736866/3 - 578954. Find z, given that -12 + 4/3*z**3 + 12*z**2 - p*z = 0.
-9, -1, 1
Let o(v) be the second derivative of -v**5/10 + 4*v**4/3 - 3*v**3 - 18*v**2 + 172*v. Solve o(a) = 0 for a.
-1, 3, 6
Solve -4752*v**2 - 136*v**3 - 143748 - 4/3*v**4 - 60984*v = 0.
-33, -3
Let s be 10/(-20)*1*6 - -6. Suppose -24*l**2 - 8*l + 11*l**3 + 7*l**s - 2*l**3 - 2*l**3 = 0. What is l?
-2/7, 0, 2
Let z(d) be the first derivative of -d**3/18 + 49*d**2/2 - 7203*d/2 + 775. Determine t, given that z(t) = 0.
147
Let p = -4384139/9 + 488691. Factor -p*h**2 - 128/3 - 13000/9*h**4 - 3808/9*h + 1250/9*h**5 - 7600/3*h**3.
2*(h - 12)*(5*h + 2)**4/9
Let d be (210/(-2310))/((-1)/55). What is a in -63/5*a**3 + 0 - 9/5*a + 12/5*a**d + 51/5*a**2 + 9/5*a**4 = 0?
-3, 0, 1/4, 1
Suppose -2/3*k**3 + 730/9*k**2 - 484/9*k + 0 = 0. What is k?
0, 2/3, 121
Let i(x) = -x - 4. Let c be i(-12). Suppose -77*l = -75*l - c. Factor -6*a**3 + l*a**4 - a**5 + 4*a**2 + 0*a**4 + 0*a**5 + 7*a - 8*a.
-a*(a - 1)**4
Let f = -29 + 149. Suppose 4*n - 72 = -2*x, 0*x = 3*x + 3*n - f. Let -40*a**2 + x*a**2 + a - 4*a**4 + 7*a - 8*a**3 = 0. What is a?
-2, -1, 0, 1
Let a = 27414 - 27411. Factor -1/2*s**a - 5/2*s + 2*s**2 + 1.
-(s - 2)*(s - 1)**2/2
Let x = 475 + -475. Let d(j) be the third derivative of -1/20*j**4 + x + 1/150*j**5 - 19*j**2 + 2/15*j**3 + 0*j. Find t such that d(t) = 0.
1, 2
Let o(d) be the third derivative of 1568/3*d**3 + 1/15*d**5 - 8*d**2 + 28/3*d**4 + 0*d + 0. Factor o(t).
4*(t + 28)**2
Let y(s) be the second derivative of 5/36*s**4 - 1/60*s**5 - 78*s + 0 - 1/9*s**3 - 4/3*s**2. Let y(p) = 0. What is p?
-1, 2, 4
Solve -4/7*g**3 - 4/7*g**4 + 40/7*g**2 - 32/7*g + 0 = 0 for g.
-4, 0, 1, 2
Suppose 398 = 4*l + 382. Let y(q) be the third derivative of -1/180*q**5 + 1/18*q**3 - 11*q**2 + 0*q + 1/18*q**l - 1/90*q**6 + 0. Solve y(o) = 0.
-1, -1/4, 1
Factor -73/6*s**3 - s**4 - 42*s - 52/3 - 107/3*s**2 + 1/6*s**5.
(s - 13)*(s + 1)*(s + 2)**3/6
Let i(s) be the third derivative of s**8/3528 + 8*s**7/735 + s**6/15 - 56*s**5/45 - 321*s**2. Factor i(n).
2*n**2*(n - 4)*(n + 14)**2/21
Let b(m) = m - 55. Let c(v) = v**2 + 74*v + 241. Let i(h) = 3*b(h) + c(h). Factor i(u).
(u + 1)*(u + 76)
Let t be ((-18)/(-4) - 4)*36. Let n be -2*35/(-45) + 8/t. Let 12*x**3 + 39/4*x**4 - 39/4*x**n - 27/2*x**5 + 0 + 3/2*x = 0. What is x?
-1, 0, 2/9, 1/2, 1
Suppose -39 = j - 3*p, -3*j - 2*p - 52 = 32. Let o be (-2)/5 + (-34)/j*3. Factor -9 - 60*k**2 + 20*k + 2 + 7 - 30*k**4 + 65*k**o + 5*k**5.
5*k*(k - 2)**2*(k - 1)**2
Let b(m) be the second derivative of -m**5/5 - 154*m**4 + 2786*m**3/3 - 1860*m**2 - 2529*m. What is r in b(r) = 0?
-465, 1, 2
Let h(m) be the second derivative of -m**6/165 + 3*m**5/55 + m**4/66 - 2*m**3/11 + 2495*m. Let h(c) = 0. What is c?
-1, 0, 1, 6
Let b(i) = -5*i**2 - 1900*i - 451241. Let l(x) = 36*x**2 + 13300*x + 3158684. Let r(d) = -44*b(d) - 6*l(d). Factor r(y).
4*(y + 475)**2
Let c(d) be the first derivative of 2*d**3/27 - 20*d**2/3 - 1727. Suppose c(i) = 0. What is i?
0, 60
Let z = 852959 - 2558869/3. Find h such that 0*h - 2*h**2 + z + 2/3*h**3 = 0.
-1, 2
Let k(l) be the third derivative of 1/40*l**5 + 0*l**3 + 0 + 0*l - 1/140*l**7 + 29*l**2 - 1/8*l**4 + 1/40*l**6. Factor k(s).
-3*s*(s - 2)*(s - 1)*(s + 1)/2
Let g = -3467424/7 - -495456. Let -76/7*j**2 - g - 4/7*j**3 - 64*j = 0. Calculate j.
-8, -3
Let k(m) be the third derivative of m**7/4200 + m**6/900 + m**5/600 - 31*m**3/2 + 101*m**2. Let u(r) be the first derivative of k(r). Let u(g) = 0. Calculate g.
-1, 0
Let p(l) be the third derivative of -1/4*l**5 + l**2 - 1/120*l**6 + 0*l**3 + 0 - 29*l + 0*l**4. Factor p(v).
-v**2*(v + 15)
Let w(i) be the second derivative of i**7/2520 + i**6/180 - i**4/3 - 3*i**2/2 - 89*i. Let a(u) be the third derivative of w(u). Factor a(k).
k*(k + 4)
Let p be ((-1)/4)/(765/(-408)). Suppose p*w**3 + 6/5 + 38/15*w + 22/15*w**2 = 0. What is w?
-9, -1
Let y be (-8)/(-24)*(-10)/(-100)*0. Factor -4/7*n**3 - 2/7 + y*n + 6/7*n**2.
-2*(n - 1)**2*(2*n + 1)/7
Suppose -144 + 118 = m + 4*w, -3*m = -4*w - 34. Determine j so that -4 + 2/5*j**m - 6/5*j = 0.
-2, 5
Let k(a) = -a**3 + 10*a**2 - 23*a - 4. Let r be k(4). Let g(o) be the second derivative of -8/3*o**2 - 1/9*o**4 + 23*o - 10/9*o**3 + r. Solve g(v) = 0.
-4, -1
Suppose 4*y - 40 = -3*t, 213*y - 4*t = 212*y - 28. Let c**5 + 188/3*c**3 + 64/3*c + 256/3 - 112*c**2 - 40/3*c**y = 0. What is c?
-2/3, 2, 4
Let c be -2*(-18)/(-6) + (18 - 6). Let w(n) be the third derivative of 0*n**4 + 1/600*n**5 + 0 - 1/1200*n**c + 3*n**2 + 0*n + 0*n**3. Factor w(d).
-d**2*(d - 1)/10
Let f be (-7)/(-49) - 1 - (-9725)/8169. Determine w so that 4/3*w - f*w**2 + 5/3 = 0.
-1, 5
Let p = 3787 - 3785. Let o(r) be the first derivative of -4/3*r + 7/3*r**p - 2/3*r**3 - 3. Factor o(v).
-2*(v - 2)*(3*v - 1)/3
Find t, given that 108/7 + 6*t + 2/7*t**2 = 0.
-18, -3
Suppose 34 = 14*x - 50. Let b(z) = -27*z + 24*z**2 + 25*z**3 + 7 + 21*z**3 - 3. Let f(u) = u**3 - u**2 + u. Let o(v) = x*f(v) + 2*b(v). Factor o(p).
2*(p + 1)*(7*p - 2)**2
Suppose -93*u + 2707 + 83 = 0. Let j be u/25*170/136. What is b in 0 + 3/4*b**4 + j*b**3 + 0*b + 3/4*b**2 = 0?
-1, 0
Solve 25*z**2 + 76*z**2 + 23*z**2 + 84 + 116*z + 12*z**3 + 176*z = 0 for z.
-7, -3, -1/3
Let s(i) be the second derivative of i**9/3024 - i**7/168 + i**6/72 + 5*i**4/6 - 21*i + 1. Let k(r) be the third derivative of s(r). Factor k(t).
5*t*(t - 1)**2*(t + 2)
Let l be ((-2)/(-2))/(24/(-192)). Let s be (-4)/24*(5 + l). What is y in y**2 - 1/2 + 0*y + 0*y**3 - s*y**4 = 0?
-1, 1
Let b = 205 + -206. Let x(l) = l**2 - 2*l. Let j(v) = -2*v**2 + 13*v - 18. Let p(h) = b*j(h) - x(h). Factor p(g).
(g - 9)*(g - 2)
Let s(a) be the third derivative of 1/24*a**3 + 23 + 0*a - a**2 - 1/32*a**4 + 1/80*a**5 - 1/480*a**6. Factor s(q).
-(q - 1)**3/4
Let y(t) be the second derivative of t**8/15680 + t**7/5880 - t**6/280 - 23*t**4/6 + 4*t - 13. Let x(q) be the third derivative of y(q). Factor x(r).
3*r*(r - 2)*(r + 3)/7
Let i(d) = 11*d - 185. Let g be i(17). Factor 19*l**2 + 219*l + 248 + g*l**2 - 12*l - 3*l**3 + 102 + 1.
-3*(l - 13)*(l + 3)**2
Let r = 520 + -521. Let j be ((4/3)/(130/(-39)))/r. Solve 54/5*q - 18/5*q**2 - 54/5 + j*q**3 = 0 for q.
3
Solve -13 + 18/5*b - 1/5*b**2 = 0 for b.
5, 13
Let c(m) = 12*m**2 + 2226*m + 419628. Let v(i) = i**2 - 2*i. Let u(a) = c(a) - 9*v(a). Let u(b) = 0. Calculate b.
-37