 9*d**3 + 28*d**2 + 3 - 52*d - 3 + 20*d**2 - d**4 - 18*d**3.
-d*(d - 2)**2*(d + 13)
Suppose 229 - 229 = 21*i. Let u(r) be the second derivative of 1/90*r**5 + i - 19*r - 5/54*r**4 + 0*r**3 + 0*r**2. Solve u(n) = 0 for n.
0, 5
Let z = 1624 + -1619. Suppose z*m + 3*r = 25, -4*m - 17*r = -20*r + 7. Factor -20/3*b - 100/3 - 1/3*b**m.
-(b + 10)**2/3
Let k = 28116 + -84338/3. Let l(u) be the second derivative of 1/4*u**5 - 9*u + 0 + 5/6*u**4 - k*u**3 - 20*u**2. Let l(a) = 0. What is a?
-2, 2
Let m(v) = 15*v**3 - 1265*v**2 + 15860*v + 16860. Let j(k) = -k**3 + 97*k**2 - 1220*k - 1297. Let n(a) = 40*j(a) + 3*m(a). Find y, given that n(y) = 0.
-26, -1, 10
Suppose -2*l + 7 = -3*v - 64, 0 = 4*l + 4*v - 172. Let 48*m**2 + l*m - 35 - 25*m**2 - 28*m**2 = 0. What is m?
1, 7
Let y(v) be the first derivative of -v**8/8400 - v**7/2100 + v**5/300 + v**4/120 + 4*v**3/3 - 171. Let i(s) be the third derivative of y(s). Factor i(h).
-(h - 1)*(h + 1)**3/5
Determine s, given that 92/9*s**2 + 976/9*s - 376/9*s**3 + 496/9 + 4/3*s**4 = 0.
-1, -2/3, 2, 31
Let x(l) be the second derivative of -3/5*l**5 + 0*l**2 + 48 + 8/3*l**3 + l - 4/3*l**4 + 8/15*l**6 - 2/21*l**7. Suppose x(i) = 0. What is i?
-1, 0, 1, 2
Let l be (3/(-6))/(-22 + (9180/(-140))/(-3)). Determine m so that -1/4*m**3 - l*m**2 - 4 + 31/4*m = 0.
-16, 1
Let j(c) be the first derivative of -4*c**6/5 - 16*c**5/25 + 371*c**4/30 - 818*c**3/45 + 106*c**2/15 - 16*c/15 - 412. What is f in j(f) = 0?
-4, 1/6, 1, 2
Let i(r) = -3*r**3 - 280*r**2 + 1202*r - 4. Let n(b) = 4*b**2 + b - 2. Let j(f) = i(f) - 2*n(f). Factor j(t).
-3*t*(t - 4)*(t + 100)
Let o be (-4 - -4)*6/48. Let k(a) be the second derivative of o + 40*a - 3/10*a**3 - 1/20*a**4 - 3/5*a**2. Factor k(t).
-3*(t + 1)*(t + 2)/5
Let 54 + 12*m**3 + 276*m - 28*m**3 + 86 + 26*m**2 + 106*m**2 + 12*m**3 = 0. Calculate m.
-1, 35
Let y(w) = 18*w - 92. Let m be y(6). Let d be 4*(1 + (-4)/m). Factor 0 - 2/9*x**2 - 2/9*x**d + 0*x.
-2*x**2*(x + 1)/9
Factor 0 - 34/5*l**2 + 117/5*l**3 + 0*l + 7/5*l**4.
l**2*(l + 17)*(7*l - 2)/5
Let v(k) be the second derivative of 0*k**2 + 6 + 1/40*k**5 - 1/6*k**4 - k**3 + 4*k. Factor v(f).
f*(f - 6)*(f + 2)/2
Find f, given that 1/3*f**4 + 4/3*f - 1/3*f**3 - 2*f**2 + 8/3 = 0.
-2, -1, 2
Let r(j) = -22*j - 1. Let h be r(-7). What is f in -h + 10*f**3 + 153 + 15*f**2 + 5*f = 0?
-1, -1/2, 0
Let r(p) be the first derivative of 4*p**5/15 + 94*p**4/3 - 1552*p**3/9 + 784*p**2/3 + 9080. Factor r(v).
4*v*(v - 2)**2*(v + 98)/3
Let n = -560 + 800. Let a be (40/n)/(4/18). Suppose 0 + 1/4*d**4 + 3/4*d**3 + 1/4*d + a*d**2 = 0. Calculate d.
-1, 0
Let u be (6/8)/((-9)/(-36)). Factor 2*v**u + 58*v**2 + v - 64*v**2 - 3*v**3 + 6.
-(v - 1)*(v + 1)*(v + 6)
Let w = -1538660 + 4117454377/2676. Let t = w + 1/446. Factor -t*s**2 - 3/4 + 1/2*s.
-(s - 3)**2/12
Let w(i) be the first derivative of -i**4/12 + 503*i**3/9 + 1012*i**2/3 + 676*i - 3624. Suppose w(q) = 0. What is q?
-2, 507
Determine x, given that -5/2*x**2 - 142805/2 - 845*x = 0.
-169
Let m(c) be the first derivative of 2*c**7/105 - c**6/15 - 7*c**5/15 - 2*c**4/3 - 5*c**2 + 4*c + 33. Let a(d) be the second derivative of m(d). Factor a(q).
4*q*(q - 4)*(q + 1)**2
Let q(c) be the first derivative of -6*c**2 + 73 + 108*c + 1/9*c**3. What is d in q(d) = 0?
18
Let s(x) be the third derivative of x**9/22680 + x**8/840 + x**7/189 - 169*x**4/12 - 126*x**2. Let c(g) be the second derivative of s(g). Factor c(d).
2*d**2*(d + 2)*(d + 10)/3
Let k(i) = 21*i**3 + 11*i**2 + 6. Let r(b) = -20*b**3 - 10*b**2 - 5. Suppose -9 = 5*w - 134. Suppose -6*f - 11 = w. Let u(m) = f*r(m) - 5*k(m). Factor u(d).
5*d**2*(3*d + 1)
Suppose 3*b - 35 = -4*j, -3*j - 3*b - 5 + 35 = 0. Solve -4509 - j*u**2 - 4570 + 500*u - 3421 = 0 for u.
50
Let v(t) be the first derivative of 5*t**3/3 - 105*t**2 + 1080*t + 1854. Factor v(y).
5*(y - 36)*(y - 6)
Factor -62*y**2 - 62*y**2 + 128*y + 121*y**2 + 53*y.
-y*(3*y - 181)
Suppose 8*f + 2*y + 16 = -3*y, 2*f + 34 = -5*y. Let j(b) be the second derivative of 0 - 1/27*b**f + 1/54*b**4 + 10*b - 2/3*b**2. Factor j(k).
2*(k - 3)*(k + 2)/9
Let d(o) be the second derivative of -o**4/84 - 13*o**3/21 - 12*o**2 + 741*o. What is y in d(y) = 0?
-14, -12
Let u(y) = 2*y**2 - 11*y + 16. Let d be u(4). Solve 88*x**2 + 82*x**3 - 70*x**3 - 2*x**4 - 17*x**d - 4*x**5 + 3*x**4 - 96 + 16*x = 0 for x.
-3, -2, 1, 2
Let c(a) = -3*a**3 - 6*a**2 + a. Let v(w) = 0*w**3 + w + 0*w**3 + 5*w**3 - 4*w**2 - 7*w**3. Let l(m) = 3*c(m) - 4*v(m). Determine r, given that l(r) = 0.
-1, 0
Factor 216/5 - 48*x + 22/5*x**2 + 2/5*x**3.
2*(x - 6)*(x - 1)*(x + 18)/5
Suppose -5*o + 3*a + 9 = 0, -245*o - 7 = -248*o + a. Let g(u) be the second derivative of 1/3*u**4 + 4*u**2 + 2*u**o + 0 - 10*u. Solve g(c) = 0 for c.
-2, -1
Factor -1944/11*s - 472392/11 - 2/11*s**2.
-2*(s + 486)**2/11
Let x = 29561 - 29561. What is r in 52/7*r**2 + 2/7*r**3 + x + 338/7*r = 0?
-13, 0
Suppose 0*s + 8*s - 120 = 0. Suppose 0 = -2*w - w + s. What is n in 3*n**3 - n**4 - n**w - n**4 + 9*n**4 - 5*n**4 = 0?
-1, 0, 3
Let f = 23 - 20. Let n(m) be the first derivative of 0*m**5 - 1/4*m**6 + 0*m + 9/8*m**4 + 0*m**2 + 17 + m**f. Let n(k) = 0. Calculate k.
-1, 0, 2
Let b(l) be the first derivative of l**6/30 - l**5/25 - l**4/4 + l**3/15 + 4*l**2/5 + 4*l/5 - 2288. Suppose b(w) = 0. Calculate w.
-1, 2
Let h(r) be the first derivative of r**4/10 - 228*r**3/5 + 28896*r**2/5 + 118336*r/5 + 2145. Factor h(p).
2*(p - 172)**2*(p + 2)/5
Solve 960*o**2 - 375 + 48*o**3 - 2434*o**2 - 3*o**4 + 600*o + 1204*o**2 = 0.
1, 5
Suppose 2*h - 4 = 4*v, -2*h = -5*v + 17 - 21. Factor 16*c**4 + 395 + c**h - 20*c**3 - 395 + 3*c**2.
4*c**2*(c - 1)*(4*c - 1)
Let o = -2272355/4 - -568089. Let -147 + 613/4*p**2 + 111/4*p**3 + o*p**5 - 25/4*p**4 - 28*p = 0. Calculate p.
-3, -1, 1, 14
Suppose -12308 = -45*b - 12083. Let j(x) be the second derivative of 9/20*x**b - 1/2*x**4 + 2 + 0*x**2 - 12*x - 1/10*x**6 + 0*x**3. Find f such that j(f) = 0.
0, 1, 2
Let n(o) be the first derivative of -2*o**3/33 + 168*o**2/11 - 90*o - 12129. Suppose n(f) = 0. Calculate f.
3, 165
Let v = 253/1578 - -5/789. Let t(q) be the third derivative of v*q**4 - 1/60*q**5 + 0 + 10*q**2 + 0*q**3 + 0*q. Factor t(o).
-o*(o - 4)
Let 358/5*r**4 + 140*r**3 + 2/5*r**5 + 1062/5 - 284*r**2 - 702/5*r = 0. Calculate r.
-177, -3, -1, 1
Let l(n) be the first derivative of -9/20*n**5 + 0*n**2 + 30*n - 17 + n**4 + 2*n**3. Let o(j) be the first derivative of l(j). Factor o(k).
-3*k*(k - 2)*(3*k + 2)
Let v(m) be the second derivative of -m**5/100 - 43*m**4/60 + 89*m**3/30 - 9*m**2/2 + 1439*m. Factor v(h).
-(h - 1)**2*(h + 45)/5
Let i = 413 - 414. Let p(t) = 3*t**3 + 6*t**2 - 11*t + 2. Let q(c) = 2*c - 2. Let m(u) = i*p(u) - 4*q(u). Find g, given that m(g) = 0.
-2, -1, 1
Find f such that 10/7*f - 13/7*f**2 + 5/7*f**4 + 0 + 1/7*f**5 - 3/7*f**3 = 0.
-5, -2, 0, 1
Let f = 849946/147 + -5782. Let x = 3488/735 - f. Factor 0 - 2/5*s - x*s**2 - 72/5*s**3.
-2*s*(6*s + 1)**2/5
Let f(w) be the second derivative of -168*w**2 - 7*w + 170/3*w**3 - 1/3*w**4 - 8. Factor f(r).
-4*(r - 84)*(r - 1)
Let z(r) be the third derivative of 3/40*r**6 - 1/60*r**7 - 1/6*r**5 + 1/6*r**4 + 0*r**3 + 1/672*r**8 + 0 + 15*r**2 + 2*r. Let z(d) = 0. What is d?
0, 1, 2
Let y = 104640 - 418557/4. Find k such that 69/4 - y*k**3 + 75/4*k**2 - 141/4*k = 0.
1, 23
Let -19043/3*d**2 - 1/3*d**4 + 92*d + 6348 - 92*d**3 = 0. What is d?
-138, -1, 1
Let n(l) be the third derivative of -5*l**6/12 + 47*l**5/6 + 106*l**4/3 + 176*l**3/3 - l**2 - 309. Determine i so that n(i) = 0.
-4/5, 11
Let w(c) be the second derivative of 2*c**6/15 - 143*c**5/20 + 101*c**4/12 + 143*c**3/6 - 105*c**2/2 + c - 398. What is x in w(x) = 0?
-1, 3/4, 1, 35
Let m = 11409 - 11404. Let c(n) be the first derivative of -2/27*n**3 - 1/9*n**2 + m - 2/15*n**5 + 5/18*n**4 + 0*n. Factor c(y).
-2*y*(y - 1)**2*(3*y + 1)/9
Factor -17/3*c - 52/3 - 1/3*c**2.
-(c + 4)*(c + 13)/3
Let a(o) = -35*o**3 - 846*o**2 - 3276*o - 3274. Let u(v) = 75*v**3 + 1693*v**2 + 6548*v + 6547. Let y(t) = -13*a(t) - 6*u(t). Solve y(n) = 0.
-164, -2
Let x = -280633/60 + 70177/15. Factor x*q - q**2 - 1/2 + 1/4*q**3.
(q - 2)*(q - 1)**2/4
Let i(y) be the first derivative of y**6/36 - 4*y**5/15 + 17*y**4/24 - 5*y**3/9 + 559. Let i(b) = 0. What is b?
0, 1, 2, 5
Let y(h) = -6*h + 2. Le