5)*(w - 2)**3/2
Let d be (6/(-20))/((-8)/120). Let c be (4/(-16)*-1)/((-1)/(-8)). Factor d*n - 1/2*n**c + 5.
-(n - 10)*(n + 1)/2
Let v(z) be the first derivative of -z**6/3 + 44*z**5/5 + 66*z**4 + 60*z**3 - 243*z**2 + 496. Solve v(i) = 0.
-3, 0, 1, 27
Factor 6*x + 15/4*x**4 - 3/4*x**5 - 3*x**2 + 0 - 9/2*x**3.
-3*x*(x - 2)**3*(x + 1)/4
Let y = 1759 + -1754. Let d(p) be the first derivative of 13 - 4/3*p**3 - 1/3*p**6 + 0*p + 4/5*p**y + p**2 + 0*p**4. Factor d(c).
-2*c*(c - 1)**3*(c + 1)
Suppose 2 - 8 = -2*v. Find f, given that 4*f**2 + v*f**3 + 125*f**4 - f**2 - 5*f**2 - 126*f**4 = 0.
0, 1, 2
Let w(u) be the first derivative of -98*u**5/15 + 1295*u**4/6 + 10324*u**3/9 + 876*u**2 + 240*u - 3063. Solve w(y) = 0 for y.
-3, -2/7, 30
Let k be 55748/2172*(-2)/(-7). Suppose 4/3*j**2 - 16/3 + k*j**3 + 2/3*j**5 - 8*j + 4*j**4 = 0. Calculate j.
-2, -1, 1
Let d(a) be the second derivative of a**6/180 - a**5/12 + 43*a**3/6 - a**2/2 + 2*a - 24. Let q(z) be the second derivative of d(z). Let q(b) = 0. What is b?
0, 5
Let g(u) be the first derivative of u**2 - 1/2*u**4 + 0*u**3 + 95 + 1/5*u**5 - u. Factor g(x).
(x - 1)**3*(x + 1)
Suppose y + 1 = 11*k - 7*k, 3*k + 23 = 2*y. Let t(b) = -14*b + 273. Let s be t(y). Solve -5/2*q**3 + s*q**2 - 1 - 7/2*q = 0.
-1/5, 1, 2
Let x(v) be the third derivative of v**5/160 + v**4/32 - 3*v**3/2 - v**2 + 2. Factor x(d).
3*(d - 4)*(d + 6)/8
Suppose -j = 4, 4*g - 52 = 2*j + 44. Factor 96*t**3 - g*t**3 - 44*t**3 - 3*t**4.
-3*t**3*(t - 10)
Suppose 117 = 48*x - 27. Let g be (7 + 41)*(x + -2)/15. Factor 12/5*h + 4/5*h**2 - g.
4*(h - 1)*(h + 4)/5
Let n(m) be the first derivative of 36 - 15*m**2 + 4/3*m**3 + 1/2*m**4 + 0*m. Factor n(p).
2*p*(p - 3)*(p + 5)
What is n in -219/4*n + 0 + 3/8*n**2 = 0?
0, 146
Let i(r) be the first derivative of -9/2*r**4 - 2/5*r**5 + 9*r**2 - 14/3*r**3 + 16*r - 80. Let i(w) = 0. What is w?
-8, -1, 1
Find i such that 9738/5*i + 2434/5 + 8/5*i**2 = 0.
-1217, -1/4
Let f(h) be the first derivative of -h**9/2268 + h**8/630 + 2*h**7/63 + 4*h**6/45 - h**3 - 2*h**2 + 308. Let c(z) be the third derivative of f(z). Factor c(a).
-4*a**2*(a - 6)*(a + 2)**2/3
Let b(x) be the third derivative of x**8/10080 - x**7/5040 - x**6/432 - x**5/240 + 2*x**3/3 + 72*x**2. Let p(j) be the first derivative of b(j). Factor p(t).
t*(t - 3)*(t + 1)**2/6
Let s be ((-22)/(-19))/((-8883)/(-24111)). Determine u, given that -16/7 + 1/7*u**3 - 5/7*u**2 - s*u = 0.
-2, -1, 8
Suppose -10*z + 14*z - 12 = 0. Let t be (z - 5) + -1 - -7. Let 2*h**3 + h**t - h**5 + 231*h - 231*h = 0. What is h?
-1, 0, 2
Let 22*m - 13/4*m**4 + 1/4*m**5 - 103/4*m**2 - 7 + 55/4*m**3 = 0. What is m?
1, 2, 7
Let w(h) be the first derivative of -16*h**2 - 1/3*h**4 - 188/27*h**3 - 145 - 112/9*h. Solve w(i) = 0 for i.
-14, -1, -2/3
Let z(u) be the third derivative of u**5/120 - 965*u**4/12 + 931225*u**3/3 - 20*u**2 + 6*u. Solve z(l) = 0 for l.
1930
Suppose -58*b = -82*b + 336. Let p be (-63)/(-119)*(-4 - b/(-3)). Factor 2/17*j**2 + 4/17*j - p.
2*(j - 1)*(j + 3)/17
Let g be ((-185)/(-1))/((-5)/(-2)). Factor -62*v + g*v - 40 + 3*v**2 + v**2 + 0*v**2.
4*(v - 2)*(v + 5)
Let n be (-2)/(-8)*(-48)/28*32/(-24). Let y(i) be the first derivative of 0*i**2 - 4/21*i**3 + n*i - 4. Solve y(h) = 0.
-1, 1
Let -10*l**3 - 5*l**4 + 10*l + 3272357 - 3272357 + 5*l**2 = 0. What is l?
-2, -1, 0, 1
Let r(t) = 6*t + 11. Let n be r(8). Let l = n - 53. Solve -a**2 - 5 - 12 + 12 - l*a = 0.
-5, -1
Let w(u) be the first derivative of u**6/2 + 687*u**5/5 + 9570*u**4 - 40368*u**3 + 8217. Factor w(d).
3*d**2*(d - 3)*(d + 116)**2
Suppose -17*j + 4*p - 32 = -15*j, -3 = 3*j + 3*p. Let s be j/(-5)*490/392. Factor -1/2*m**5 - s - 5/2*m + 3*m**3 + 1/2*m**4 + m**2.
-(m - 3)*(m - 1)*(m + 1)**3/2
Let t = 138992 - 138987. Determine s so that 1/4*s**3 + 3/4*s**t + 0*s + 0 - 5/4*s**4 + 1/4*s**2 = 0.
-1/3, 0, 1
Factor -2*f**3 - 15*f**3 + 150 + 26*f**3 - 4*f**3 - 215*f + 82*f**2 - 22*f**2.
5*(f - 2)*(f - 1)*(f + 15)
Factor -162*m**2 - 175999*m + 176239*m - 117*m**3 - 3*m**4 + 36*m**2 + 6*m**4.
3*m*(m - 40)*(m - 1)*(m + 2)
Let q(p) = 138*p**3 + 931*p**2 - 3165*p + 1346. Let w(a) = -377*a**3 - 2794*a**2 + 9495*a - 4039. Let s(n) = -11*q(n) - 4*w(n). Suppose s(j) = 0. What is j?
1/2, 3, 90
Let x(y) = y**3 + 24*y**2 - 23*y + 54. Let p = 100 + -125. Let d be x(p). Factor -2/7*q**d + 6/7*q**3 + 4/7*q + 10/7*q**2 - 2/7*q**5 + 0.
-2*q*(q - 2)*(q + 1)**3/7
Factor 1/3*m**4 + 0 - 243*m - 27*m**2 + 3*m**3.
m*(m - 9)*(m + 9)**2/3
Let u be (4/(-6))/((-8)/24). Suppose -u*w = -2 - 4. Factor -3*k**3 - 16*k + 8*k - k**w + 12*k**2.
-4*k*(k - 2)*(k - 1)
Let v(h) be the first derivative of -3/20*h**4 - 9/10*h**2 + 0*h - 4/5*h**3 + 86. Suppose v(m) = 0. What is m?
-3, -1, 0
Let j = 138391/4501 + 71/643. Factor -j - 162/7*a + 10/7*a**3 - 18/7*a**2 + 2/7*a**4.
2*(a - 4)*(a + 3)**3/7
Suppose -45*k + 2829 = -4*k. Suppose k*d - 24 = 63*d. Factor 0 + 2/9*g**d - 14/9*g**3 + 32/9*g + 16/9*g**2.
2*g*(g - 4)**2*(g + 1)/9
Suppose 2*k + 2230 = 4*r + 2222, -5*r + 13 = -k. Factor 300*q + 2*q**r - 72 - 97/2*q**2.
(q - 12)**2*(4*q - 1)/2
Let 56073 + 252*p**2 - 4*p**3 - 422*p - 56073 - 522*p = 0. What is p?
0, 4, 59
Let q(u) be the first derivative of 37 + 0*u + 1/84*u**5 - 13/2*u**2 - 1/42*u**4 + 0*u**3 - 1/840*u**6. Let i(r) be the second derivative of q(r). Factor i(j).
-j*(j - 4)*(j - 1)/7
Suppose -320/3 - 956/3*k - 1028/3*k**2 - 74/3*k**4 + 1/3*k**5 - 467/3*k**3 = 0. Calculate k.
-2, -1, 80
Let h(r) = -6*r**4 - 20*r**3 + 314*r**2 - 344*r + 56. Let z(u) = 2*u**4 - u**3 - u. Let o(l) = -h(l) + 2*z(l). Find p, given that o(p) = 0.
-7, 1/5, 1, 4
Suppose 91*o = 106436 - 106254. Find a, given that 0 + 0*a + 4/9*a**3 - 2/3*a**o + 2/9*a**4 = 0.
-3, 0, 1
Let c(b) be the third derivative of -19/60*b**4 + 1/20*b**5 + 0 + 4/5*b**3 + 0*b - 19*b**2 - 1/600*b**6. Determine j so that c(j) = 0.
1, 2, 12
Let o be 1577/162680*70 - 6/14. Find s, given that -1/4*s**2 + o - 1/4*s**3 + 1/4*s = 0.
-1, 1
Suppose 5*c + p - 6*p = 40, c + 4*p = 28. Let u be 3 + (c/(-4) - -2). What is o in -10*o - 7*o**2 + 10 - o**u + 9*o**2 + 15 = 0?
5
Suppose -2300 = -44*c - 21000. Let h be (-6)/10 - c/500. Let h*l**2 - 1/4*l + 0 = 0. What is l?
0, 1
Factor -1359*t**2 + 680*t**2 - 364*t + 684*t**2 - 799*t - 1282*t.
5*t*(t - 489)
Let l = -146 + 130. Let c be (18/48*-46)/(3/l). Factor 181*y**2 + 10 + 12*y - 87*y**2 - c*y**2.
2*(y + 1)*(y + 5)
Suppose 1820*t**2 + 118*t**3 - 20*t**4 + 1204*t + 1250 + 74*t**3 + 2372*t - 98 = 0. Calculate t.
-3, -2/5, 16
Suppose 0 = 86*u + 15*u - 18*u + 58*u. Solve -8/5*y**3 - 4/5*y**5 + u + 0*y + 32/5*y**2 - 4*y**4 = 0 for y.
-4, -2, 0, 1
Suppose -83*h + 953 = -624. Suppose -h*u + 10 = -28. Factor 288/11 + 48/11*p + 2/11*p**u.
2*(p + 12)**2/11
Suppose 3*p + 3*v - 734 = 2818, 0 = p - 2*v - 1175. Suppose 6*g - p + 1163 = 0. Determine r, given that 4*r + 4/7*r**4 + 32/7 - 36/7*r**2 - 4*r**g = 0.
-1, 1, 8
Let o(l) = 13*l - 8. Let x be o(7). Suppose -81*n = -x*n + 462. Factor n*r**2 - 3*r**2 - 16*r**3 - 263*r - 577*r + 196.
-4*(r - 7)**2*(4*r - 1)
Let u(w) be the second derivative of w**5/4 + 211*w**4/12 + 392*w**3/3 + 382*w**2 - w - 46. What is s in u(s) = 0?
-191/5, -2
Let c be 12/(-26)*(-2574)/396. Let i(x) be the third derivative of 4/21*x**c + 0 - 1/420*x**6 - 3/28*x**4 + 6*x**2 + 0*x + 1/35*x**5. Factor i(u).
-2*(u - 4)*(u - 1)**2/7
Find r, given that 1902*r**3 + 66*r**2 - 171*r - 3808*r**3 + 1903*r**3 = 0.
0, 3, 19
Let f be (-424)/(-118) - (1 - 18/(-6)). Let n = f + 1960/177. Determine x so that -10/3*x**2 + 64/3*x - 25/3*x**3 - n = 0.
-2, 4/5
Let n(l) = -5*l**2 + 22*l + 21. Let m(k) = 6*k**2 - 24*k - 22. Suppose -117*i = -89*i + 112. Let o(z) = i*n(z) - 3*m(z). Factor o(d).
2*(d - 9)*(d + 1)
Let r(l) be the first derivative of -l**3/5 - 147*l**2/5 - 1418. Find z such that r(z) = 0.
-98, 0
Let d be (-7)/(154/(-48)) + (-6)/33. Solve -5*h + 117*h**3 - 5*h**2 - 112*h**3 + 5*h**d = 0 for h.
-1, 0, 1
Find p, given that -216 + 284*p**2 - 36*p - 114*p - 68*p**4 - 1465*p**3 - 2*p**5 + 3032*p**3 - 1415*p**3 = 0.
-36, -1, 1, 3
Let v(o) be the third derivative of o**7/140 - 4*o**6/5 + 407*o**5/20 + 420*o**4 + 11025*o**3/4 - 282*o**2 + 1. Let v(s) = 0. What is s?
-3, 35
Factor -264627/2*k - 1/2*k**3 - 26198073/2 - 891/2*k**2.
-(k + 297)**3/2
Let z = 28 - 24. Let y be ((-6)