 2)/3
Let u(g) be the third derivative of g**6/60 - 75*g**5/2 + 140625*g**4/4 - 17578125*g**3 - 1180*g**2 + 2*g. Factor u(r).
2*(r - 375)**3
Let j = -99527/3 - -33178. Factor -j*a**2 - 47/9*a**4 - 2/9*a + 0 - 5/3*a**5 - 17/3*a**3.
-a*(a + 1)**3*(15*a + 2)/9
Let p(v) be the third derivative of -9*v**7/20 + 59*v**6/80 + v**5/5 - v**4/4 + 1183*v**2. Let p(r) = 0. What is r?
-2/7, 0, 2/9, 1
Find y, given that 33/5*y - 84/5 - 3/5*y**2 = 0.
4, 7
Determine k, given that -281/5*k + 141/5 + 1/5*k**3 + 139/5*k**2 = 0.
-141, 1
Let y be 30/4 + ((-70)/(-21))/(20/(-30)). Let 0*c**2 + 0 + y*c**4 - 10*c + 15/2*c**3 = 0. Calculate c.
-2, 0, 1
Let p(t) be the third derivative of -t**7/105 - t**6/3 - 10*t**5/3 + 155*t**2 - t. Factor p(m).
-2*m**2*(m + 10)**2
Factor 107 - s**2 - 75 - 11*s - 62.
-(s + 5)*(s + 6)
Let q = 496/45 - 92/9. Let s(c) be the first derivative of 12 + 0*c**2 - 8/3*c**3 - 3*c**4 - q*c**5 + 0*c. Determine k, given that s(k) = 0.
-2, -1, 0
Let s(k) be the second derivative of 5*k + 0*k**2 - 1/630*k**6 + 0 + 0*k**4 + 0*k**5 - 3/2*k**3. Let j(f) be the second derivative of s(f). Factor j(p).
-4*p**2/7
Let l be ((-238)/(-1190))/(6/100). Let b(k) be the second derivative of -20*k - 4/3*k**4 + 0 - 4*k**2 - 1/5*k**5 - l*k**3. Solve b(p) = 0.
-2, -1
Let a(y) be the second derivative of y**4/12 - 42*y**3 + 7938*y**2 + 51*y + 28. Factor a(t).
(t - 126)**2
Let n(l) be the third derivative of 0 + l**2 - 1/240*l**6 - 1/3*l**3 + 1/12*l**4 + 1/120*l**5 - 11*l. Solve n(b) = 0 for b.
-2, 1, 2
Let z(l) be the third derivative of -5*l + 1/100*l**5 + 0 + 0*l**3 + 1/175*l**7 - 3/200*l**6 + 9*l**2 + 0*l**4. Determine o, given that z(o) = 0.
0, 1/2, 1
Let n(j) = 11*j**2 - 26*j + 6. Let c(h) = 10*h**2 - 25*h + 5. Let i = 227 + -232. Let s(u) = i*n(u) + 6*c(u). Factor s(q).
5*q*(q - 4)
Suppose 139 = 5*n + 2*r, 7*n - 2*n = -5*r + 130. Suppose 0 = n*m - 24*m - 10. Determine l so that -2*l**2 - 4 + 16*l**m - 10*l**2 = 0.
-1, 1
Let g be (54/33)/(((-2135)/(-112) + -19)*12). Solve -72/11 + g*z - 2/11*z**2 = 0.
6
Let t(q) = -2*q**2 + 2*q - 1. Let o(k) = -19*k + 321 - 11*k - 2828 - 56*k - 15*k**2. Let g(d) = 5*o(d) - 35*t(d). Factor g(u).
-5*(u + 50)**2
Let g = 21790 + -21788. Let n(j) be the first derivative of 0*j - 13 + 5/18*j**3 - 1/4*j**g - 1/24*j**4 - 1/30*j**5. Factor n(h).
-h*(h - 1)**2*(h + 3)/6
Suppose 2*f = 6, -5*m + f = -0*f - 14957. Solve 15*d**2 - 3000 - 2*d**4 + m - 5*d**2 = 0.
-2, -1, 1, 2
Let t(r) be the second derivative of -17*r**5/60 + 7*r**4/9 + 2*r**3/3 - 2*r - 140. Let t(v) = 0. What is v?
-6/17, 0, 2
Let -8*k - 31/5*k**3 - 51/5*k**2 - 12/5 - 1/5*k**5 - 9/5*k**4 = 0. Calculate k.
-3, -2, -1
Let h(c) be the first derivative of -6*c**2 + 0*c - 8/5*c**5 + 8/3*c**3 - 2/3*c**6 + 4*c**4 - 87. What is w in h(w) = 0?
-3, -1, 0, 1
Suppose 0 = -4*l - 0*l + 16. Let x = -19 + 31. Let -x*r + 3*r**3 - 27 - 1 + l + 6*r**2 = 0. Calculate r.
-2, 2
Let o(i) = -62*i + 132. Let h be o(-31). Let s = 2058 - h. Factor -3/4 + 3/2*g - 3/2*g**3 + 3/4*g**s + 0*g**2.
3*(g - 1)**3*(g + 1)/4
Determine p, given that 4*p**2 + 5*p - 18*p - 940 + 11*p - 75*p - 91*p = 0.
-5, 47
Suppose 14636 = 22*i + 14548. Let h(d) be the first derivative of 9/2*d**2 + 7*d**3 + 3/5*d**5 + 15/4*d**i + 23 + 0*d. Factor h(f).
3*f*(f + 1)**2*(f + 3)
Let -81/4 + 9*n + 5/4*n**2 = 0. What is n?
-9, 9/5
Let x = -1228/87 - -5192/261. Factor -88/9 - 4/9*t**2 - x*t.
-4*(t + 2)*(t + 11)/9
Find n, given that -54*n**3 + 81*n - 11*n + 24*n**2 + 8*n**4 - 55*n**2 + 7*n**2 = 0.
-5/4, 0, 1, 7
Let a = -21310 + 21320. Let z(r) be the second derivative of -21/20*r**5 - a*r**3 + 26*r + 12*r**2 + 0 - 13/2*r**4. Factor z(f).
-3*(f + 2)**2*(7*f - 2)
Let t(u) be the first derivative of -u**5/15 + 10*u**3/9 - 3*u + 1634. Let t(a) = 0. Calculate a.
-3, -1, 1, 3
Factor 0 - 1620675/2*x - 2205*x**2 - 3/2*x**3.
-3*x*(x + 735)**2/2
Let z be (-2 + -34)*6/(-42). Solve 2*w**3 + 2/7*w**4 - 6/7*w + 26/7*w**2 - z = 0 for w.
-3, -2, 1
Suppose -4*r**4 + 2/5*r**5 + 0 - 112/5*r**2 + 72/5*r**3 + 64/5*r = 0. Calculate r.
0, 2, 4
Let t(l) = -7*l**3 - 39*l**2 + 147*l + 774. Let g be t(-6). Let -7/2*u + g - 1/2*u**3 + 4*u**2 = 0. Calculate u.
0, 1, 7
Let d(u) = u**3 - 3*u**2 + 4*u - 9. Let c be d(3). Factor -10*s**2 + 49 - 13 + 7*s**2 - s + 25*s - 3*s**c.
-3*(s - 3)*(s + 2)**2
Let z(g) be the third derivative of -5*g**7/42 + 31*g**6/96 - g**5/20 - 41*g**4/96 - g**3/12 - 671*g**2. What is q in z(q) = 0?
-2/5, -1/20, 1
Let j(y) = -10*y + 2*y - 6*y**2 - 2*y + 5*y. Let w(k) = 12*k**2 + 9*k. Let m(i) = -7*j(i) - 4*w(i). Factor m(v).
-v*(6*v + 1)
Let f = 159 + -52. Let 47*a - f*a - a**2 + 53*a = 0. Calculate a.
-7, 0
Let q(p) = -5*p**4 - 51*p**3 - 28*p**2 + 45*p + 3. Let b(o) = -5*o**4 - 53*o**3 - 39*o**2 + 45*o + 4. Let d(x) = 3*b(x) - 4*q(x). Find n such that d(n) = 0.
-9, -1, 0, 1
Let q(s) = s**3 + 465*s**2 + 2988*s + 4541. Let m(k) = -3*k**3 - 1161*k**2 - 7470*k - 11353. Let t(r) = 5*m(r) + 13*q(r). Factor t(n).
-2*(n - 126)*(n + 3)**2
Let t = 236 - 234. Determine m so that 1 + m**2 - 5450*m + 5446*m + t = 0.
1, 3
Let t be 2765/37604*(-2 + (-18)/(-5)). Factor -6/17*z**2 + 0 + t*z**3 - 20/17*z.
2*z*(z - 5)*(z + 2)/17
Let d be 24/(-60) + (504/(-30))/(-6). Let x be ((-10)/(-2)*-1)/(-5 - -4). Suppose d - 2*j**2 - 26/5*j - 4/5*j**x - 2/5*j**4 + 6*j**3 = 0. Calculate j.
-3, -1, 1/2, 1, 2
Let r(c) be the first derivative of 15625*c**6/4 - 11625*c**5/2 + 6075*c**4/4 - 154*c**3 + 6*c**2 + 1660. Suppose r(m) = 0. Calculate m.
0, 2/25, 1
Let k(n) be the first derivative of 0*n - 2*n**3 - 64 + 0*n**2 - 3/28*n**4. Find t such that k(t) = 0.
-14, 0
Suppose 9*f - 58 = -13. Suppose 0 = f*c + 5*x - 25, 0*c - 2*x + 10 = -2*c. Let 0*l**2 - 3/4*l**5 - 3/4*l**3 - 3/2*l**4 + c*l + 0 = 0. Calculate l.
-1, 0
Let w be (((-75530)/273)/166)/((-8)/7290). Determine z so that 135/2*z - w - 3/4*z**2 = 0.
45
Let m(h) = 284*h + 9. Let z be m(1). Suppose 239 - z = -18*p. Find n such that -8*n - 11/3*n**2 - 1/3*n**p + 12 = 0.
-6, 1
Let v be 32/7 - (-12)/(-21) - -3. Factor 43*u**2 + v*u - 46*u**2 - 20*u - 8*u.
-3*u*(u + 7)
Let b = -549358 + 4944248/9. Find p such that 2/9*p**4 + b*p**2 + 8/3*p + 4/3*p**3 + 8/9 = 0.
-2, -1
Let f(w) be the second derivative of -w**6/10 - 3*w**5/2 - 37*w**4/4 - 30*w**3 - 54*w**2 - 2*w - 266. Factor f(g).
-3*(g + 2)**2*(g + 3)**2
Let z(l) be the first derivative of 2*l**3/33 - 10*l**2/11 - 150*l/11 + 7388. Factor z(r).
2*(r - 15)*(r + 5)/11
Let d = -913 + 955. Suppose -68*z = -d*z. Factor 0*b**2 + 2/5*b**3 + 0 + z*b + 2/5*b**4.
2*b**3*(b + 1)/5
Let a = -1036 + 1064. Suppose 17*t = 6 + a. Solve -7/2 - 3*x + 1/2*x**t = 0.
-1, 7
Let a be 32/6 + 3 + 3. Suppose 251*y - 47*y - 1685 = -133*y. Factor -20/3*q**4 + 4/3*q**2 - a*q + 2/3*q**y + 16/3 + 32/3*q**3.
2*(q - 8)*(q - 1)**3*(q + 1)/3
Let b be 32/(-60)*(-120)/(-288) + (-5)/(-18). Let d(a) be the third derivative of -1/72*a**5 + 7*a**2 - 7/144*a**4 + 0 + 1/180*a**6 + 0*a + b*a**3. Factor d(n).
(n - 2)*(n + 1)*(4*n - 1)/6
Let q(a) be the third derivative of -a**6/40 + a**5/4 + 2*a**2 - 212*a. What is m in q(m) = 0?
0, 5
Find b, given that -130*b**2 + 0 + 130*b**4 + 365*b**3 - 735/2*b + 5/2*b**5 = 0.
-49, -3, -1, 0, 1
Let p be ((-1)/(-4))/((-14)/(-56)) + 5. Factor -3*n**5 + 2*n**5 - p + 12*n**3 - 12*n + 4*n**4 + 2*n**2 + n.
-(n - 6)*(n - 1)*(n + 1)**3
Let j(i) = i**2 + 968*i - 212. Let x(z) = 2*z**2 + 930*z - 212. Let t(v) = 5*j(v) - 6*x(v). Factor t(g).
-(g + 106)*(7*g - 2)
Suppose 2*k + 3*t - 25 = 0, -6*k + 5*t - 5 = -2*k. Let l = -2 + k. Find c, given that -l*c**2 - 2*c**2 - 7*c**3 - 3*c**3 = 0.
-1/2, 0
Suppose -4084*x**2 + 1044480*x - 384621 + 4*x**3 - 91224 - 56685 - 184261 - 323609 = 0. What is x?
1, 510
Let k(h) be the second derivative of 5*h**4/12 + 175*h**3/6 - 185*h**2 + 92*h + 2. Factor k(v).
5*(v - 2)*(v + 37)
Let y(w) be the first derivative of 2*w**3/15 - 736*w**2 + 1354240*w + 2562. Factor y(c).
2*(c - 1840)**2/5
Let z(j) be the third derivative of j**8/2184 + 7*j**7/15 + 51197*j**6/390 + 30337*j**5/39 + 302101*j**4/156 + 100489*j**3/39 - j**2 - 1066. Factor z(w).
2*(w + 1)**3*(w + 317)**2/13
Solve -2*y**2 + 0 + 2/3*y**3 - 4/3*y + 2/3*y**5 + 2*y**4 = 0.
-2, -1, 0, 1
Factor 64/5*r - 12/5*r**2 - 4/5*r**3 - 48/5.
-4*(r - 2)*(r - 1)*(r + 6)/5
Suppose 34*j - 115 = -13. Let b(u) be the first derivati