n**3 - 24*n**p - 660*n + 45*n**4 - 41*n**2 - 217*n**2 + 4*n**5 - 37*n**2 + 180 = 0.
-2, 1/4, 3
Let q = -1070180411/249948 + 560728/131. Let k = 2/477 - q. Factor -k*b**3 - 5/2 + 15/4*b + 0*b**2.
-5*(b - 1)**2*(b + 2)/4
Let h be (28/(-21) + 0 - 1677/(-117)) + -9. Factor -4/3*k**3 + 0 + 0*k**2 - 2/3*k**h + 0*k + 2/3*k**5.
2*k**3*(k - 2)*(k + 1)/3
Factor -48*y + 2/3*y**2 + 864.
2*(y - 36)**2/3
Suppose -4*s + 4 = 4*b, -5*s - 3*b = -11 - 4. Suppose 0 = -7*h + 34 - s. Factor -23*d**2 - h*d + 6*d**2 + 8*d**2 + 13*d**2.
4*d*(d - 1)
Let q(r) = r**3 - 24*r**2 + 61*r + 45. Let l = -74 - -95. Let g be q(l). Factor -3/2*s**g - 9/2*s + 6*s**2 + 0.
-3*s*(s - 3)*(s - 1)/2
Let m = -425 - -428. Determine h, given that 25*h**3 + 98*h**4 + 54*h**2 + 50*h - 96*h**4 + 16 - 3*h**m = 0.
-8, -1
Let j(b) be the second derivative of -9*b**5/100 - 37*b**4/20 + 27*b**3/10 + 39*b**2/10 + 6*b - 100. Suppose j(v) = 0. Calculate v.
-13, -1/3, 1
Let h be 1/(-42)*(-13 - (-1353)/110). Let q(b) be the third derivative of -h*b**6 + 1/15*b**5 - 13*b**2 + 0*b + 0 - 1/12*b**4 + 0*b**3. Factor q(p).
-2*p*(p - 1)**2
Let w(k) = k**4 + k**2 + 2*k + 1. Let l(x) = 12*x**4 - 56*x**3 - 842*x**2 + 892*x - 220. Let u(h) = l(h) - 4*w(h). Determine a, given that u(a) = 0.
-8, 1/2, 14
Let q(d) = 5*d**3 - 10*d**2 + 81*d - 134. Let p(f) = 3*f**3 + 2*f**2 + 43*f - 66. Let a(c) = -7*p(c) + 3*q(c). Determine t so that a(t) = 0.
-5, -3, 2/3
Solve 2138/9*s - 2/3*s**2 - 712/9 = 0 for s.
1/3, 356
Let t = 2348 - 2344. Let r be (-12)/(-15) - (-42)/10 - 0. Suppose 0*m**2 + 8/21*m**t + 2/7*m**r + 0 + 2/21*m**3 + 0*m = 0. Calculate m.
-1, -1/3, 0
Let i(a) be the second derivative of -a**5/90 - 29*a**4/18 - 55*a**3/3 - 81*a**2 - 8*a - 40. Factor i(g).
-2*(g + 3)**2*(g + 81)/9
Let j(v) be the second derivative of -v**4/16 - 15*v**3/4 + 24*v**2 - 3295*v. Let j(c) = 0. Calculate c.
-32, 2
Let o(a) be the second derivative of -a**5/40 - 49*a**4/24 - 107*a**3/6 + 66*a**2 - 5351*a. Factor o(n).
-(n - 1)*(n + 6)*(n + 44)/2
Let s be (1/(-14)*-2878)/((-35)/(-245)). Let o = s + -1436. Factor 1/4*p**5 - 3/4*p + 0 - p**4 + p**2 + 1/2*p**o.
p*(p - 3)*(p - 1)**2*(p + 1)/4
Suppose -21*b = 109*b + 11*b. Factor 3/4*q**3 + 1/4*q**4 - q**2 + 0 + b*q.
q**2*(q - 1)*(q + 4)/4
Let l(c) be the second derivative of -23*c + 0*c**2 + 0*c**3 + 1/4*c**4 + 0*c**5 - 1/10*c**6 + 0. Let l(h) = 0. What is h?
-1, 0, 1
Let d(t) be the second derivative of t**6/120 + 13*t**5/40 + 5*t**4 + 112*t**3/3 + 128*t**2 - 989*t. Factor d(h).
(h + 2)*(h + 8)**3/4
Suppose 4*f = -w - 12 - 2, 3*w - 2*f = 0. Let s(h) = -h**2 - 3*h + 1. Let j(p) = 5*p**2 + 69*p - 17. Let i(b) = w*j(b) + 6*s(b). Let i(g) = 0. Calculate g.
-10, 1/4
Let m = 41049/27364 + -3/27364. Let n(p) be the first derivative of 3/4*p + 9/8*p**2 - m*p**4 - 1 - 3/2*p**3. Solve n(g) = 0.
-1, -1/4, 1/2
Suppose 512/5*t**2 + 0*t + 4/5*t**5 + 0 - 56/5*t**4 + 128/5*t**3 = 0. What is t?
-2, 0, 8
Let g(x) be the first derivative of 11*x**4/4 + 15*x**3/2 - 87*x**2/2 - 4*x + 3277. Factor g(w).
(w - 2)*(w + 4)*(22*w + 1)/2
Factor -150/7*k**2 + 6/7*k**4 - 24*k + 0 + 24/7*k**3.
6*k*(k - 4)*(k + 1)*(k + 7)/7
Let h(l) be the third derivative of -l**6/480 - 183*l**5/40 - 33489*l**4/8 - 2042829*l**3 - 4195*l**2. Let h(t) = 0. Calculate t.
-366
Let m(f) be the second derivative of -1/21*f**3 - 2/21*f**4 + 4/7*f**2 + 2*f + 117 + 1/70*f**5. Solve m(r) = 0 for r.
-1, 1, 4
Let r(f) be the first derivative of -f**4/14 - 76*f**3/21 - 68*f**2 - 560*f + 4616. Factor r(d).
-2*(d + 10)*(d + 14)**2/7
Let d(i) = -i**2 + 9*i - 4. Let q be d(7). Suppose 3*h = -5*a - 2, 3*a + h + 3*h = -q. Factor 5*n**4 - 4*n**5 + 8*n**2 - 20*n**3 + 9*n**4 + a*n**4.
-4*n**2*(n - 2)*(n - 1)**2
Let c = 2845 - 2845. Let f(v) be the second derivative of 14*v - 2/5*v**6 + 0*v**2 + 4/3*v**3 - 4/5*v**5 + c + 5/3*v**4. Suppose f(w) = 0. What is w?
-2, -1/3, 0, 1
Factor -36992/3*d - 6*d**3 + 0 - 544*d**2.
-2*d*(3*d + 136)**2/3
Let d be -5 + ((-3790)/(-5) - -6). Let r = d - 756. Let -8/5*w + 0 - 36/5*w**2 - 9/5*w**5 + 6/5*w**r + 5*w**4 = 0. Calculate w.
-1, -2/9, 0, 2
Let s(q) be the first derivative of q**4/7 - 4*q**3/7 + 4*q**2/7 + 1564. What is w in s(w) = 0?
0, 1, 2
Let o = -1332342 + 1332344. Find y such that 34/3*y - 20/3 - 2*y**o = 0.
2/3, 5
Let m(c) be the third derivative of c**8/336 - 4*c**7/105 + 13*c**6/120 + 13*c**5/30 - 8*c**4/3 + 16*c**3/3 - 699*c**2. Factor m(b).
(b - 4)**2*(b - 1)**2*(b + 2)
Let d be ((-4)/(-2))/(-2) + 53/((-530)/(-30)). Suppose 1/6*n**2 + 8/3*n - 2/3*n**3 + d - 1/6*n**4 = 0. Calculate n.
-3, -2, -1, 2
Let m be (2 + (-85)/50)*36/81. Let x(h) be the first derivative of -24/5*h**2 + 13 + 24/25*h**5 + 11/5*h**4 - 32/5*h + m*h**6 + 8/15*h**3. Factor x(g).
4*(g - 1)*(g + 1)*(g + 2)**3/5
Let a = -33733 + 101201/3. Factor 2/3*p**2 - a + 2/9*p - 2/9*p**3.
-2*(p - 3)*(p - 1)*(p + 1)/9
Let j(p) be the first derivative of 2*p**5/5 + 43*p**4/2 + 380*p**3/3 + 6786. Factor j(y).
2*y**2*(y + 5)*(y + 38)
Let y(k) = -3*k**3 - 5*k**2 + 6*k - 2. Let p = -164 + 170. Let j(s) = -2*s**3 + s - 1. Let l(h) = p*j(h) - 3*y(h). Solve l(i) = 0 for i.
0, 1, 4
Let o be 5*(-88)/(-60)*(-18)/(-4). Suppose 18*w - 39 = o. Solve w*j**2 + 2/3 - 29/9*j - j**3 = 0 for j.
1/3, 2/3, 3
Suppose g + 48 = 4*g. Suppose -9*o + g = -29. Factor 9*b**4 - 10*b**3 - 4*b**4 - 2*b + 2*b + o*b**5.
5*b**3*(b - 1)*(b + 2)
Solve 16/9*l**2 - 8/9*l**4 - 52/9*l**3 + 26/9*l**5 - 8/9 + 26/9*l = 0 for l.
-1, 4/13, 1
Suppose -53 = -17*f + 219. Suppose -f = 2*u - 4*s, 2*u + 9*s = 4*s + 29. Let 18*b + 3/2*b**u + 0 = 0. Calculate b.
-12, 0
Let -13 + 17*j**3 - 18*j**3 - 9*j - 41*j**2 + 31*j**2 - 1 - 14*j = 0. Calculate j.
-7, -2, -1
Let t(p) be the third derivative of -p**8/3360 + p**7/560 + p**6/80 + p**5/48 - 43*p**3/3 - 117*p**2. Let o(d) be the first derivative of t(d). Factor o(y).
-y*(y - 5)*(y + 1)**2/2
Let o(s) be the second derivative of -3/14*s**3 + 1/7*s**4 - 3/140*s**5 + 5 + 0*s**2 - 8*s. Factor o(p).
-3*p*(p - 3)*(p - 1)/7
Let c(i) be the first derivative of -i**3/3 - 87. Let f(p) = 31*p**2 + 60*p + 36. Let u(m) = -6*c(m) - f(m). Determine n, given that u(n) = 0.
-6/5
Let i be (2/(-21))/(-27*8/336). Let a(b) be the first derivative of 1/18*b**4 + 0*b + 1/9*b**2 - i*b**3 - 3. Find r, given that a(r) = 0.
0, 1
Let f(j) = 2*j**3 - 3*j**2 + 21*j - 10. Let p be f(7). Factor 37*y**2 + 52*y + 31*y**2 - 67*y**2 + p.
(y + 26)**2
Let b = 34636 + -277087/8. Factor -5/8*g**2 + 0 - b*g**4 + 1/2*g**3 + 1/4*g.
-g*(g - 2)*(g - 1)**2/8
Let c = -38 - -39. Let i(x) = x**3 - x**2 - x - 1. Let j(v) = -v**3 - 2*v**2 - 2*v - 2. Let z(u) = c*j(u) - 2*i(u). Factor z(h).
-3*h**3
Let x be -2*((-10)/25)/(135/225). Find u, given that x*u - 2/9*u**2 - 10/9 = 0.
1, 5
Let g(q) = -q**3 - 2*q**2 + 2*q + 1. Let l(y) = -16*y**3 + 1276*y**2 + 110228*y + 318848. Let p(m) = -20*g(m) + l(m). Factor p(b).
4*(b + 3)*(b + 163)**2
Let a(u) = -3*u**3 - u**2 - 3*u + 1. Let p(f) = 90*f - 34*f - 28*f - 4*f**2 + 6 - 16*f**3 - 43*f. Let s(j) = -11*a(j) + 2*p(j). Find z such that s(z) = 0.
-1
Suppose 10*m + 31 = -269. Let b = m + 30. Factor -s**2 + s**3 - 5*s + b + 2 + 0 - 5.
(s - 3)*(s + 1)**2
Let u(v) = 2*v**2. Let g(o) = -22*o**2 + 1812*o - 1808. Let c(h) = g(h) + 9*u(h). Let c(j) = 0. Calculate j.
1, 452
Let j(b) be the first derivative of 0*b**2 - 9/2*b + 1/6*b**3 + 131. Factor j(n).
(n - 3)*(n + 3)/2
Suppose -4*k - 8 = -8*k. Let o be (65 - k)*(-72)/(-84). Factor -o*v + 4*v**2 + 62*v + 64 + 24*v.
4*(v + 4)**2
Let j = 64/3 - 20. Let c be ((-12)/(-186) - (-228)/2232)*24. Determine r so that 4*r**3 - 7/3*r**c + 11/3*r**2 - j - 4*r = 0.
-1, -2/7, 1, 2
Let n(i) be the second derivative of -i**5/100 + 3*i**4/4 - 20*i**3/3 - 922*i. Let n(l) = 0. What is l?
0, 5, 40
Suppose -18*r = 5*h - 21*r + 16, 5*h - r + 12 = 0. Let k be (50/30 + h)*(-18)/33. Let k*w**2 - 2 + 20/11*w = 0. What is w?
-11, 1
Suppose -1353*u = 396*u. Find i, given that u - 9/2*i**2 + 0*i + 3/4*i**3 = 0.
0, 6
Let g be 25/100*(13 + -11). Suppose -27*f = -24*f - 12. Solve 0*c + g*c**3 - 1/2*c**5 - c**2 + c**f + 0 = 0.
-1, 0, 1, 2
Factor -1575/4 + 5/4*u**2 - 145/2*u.
5*(u - 63)*(u + 5)/4
Let n be ((-18)/(-16))/9 - (-4)/((-1408)/(-340)). Factor -n*s + 18/11 + 2/11*s**2.
2*(s - 3)**2/11
Suppose -2/11*n**2 - 160178/11 + 1132/11*n = 0. Calculate n.
283
Let l(d) be 