 r - 6*r**3.
-5*r*(r - 4)*(r + 1)
Let d(j) be the second derivative of 0*j**3 - 3 - 1/48*j**4 + 33*j + 9/2*j**2. Factor d(p).
-(p - 6)*(p + 6)/4
Let o(n) = -3*n**4 - 7*n**2 + n. Let v(a) = 51*a**4 + 9*a**3 + 159*a**2 - 27*a - 30. Let p(c) = 18*o(c) + v(c). Solve p(x) = 0 for x.
-2, -1, 1, 5
Let n(c) be the first derivative of 0*c**2 - 8/21*c**3 - 2/35*c**5 + 72 + 0*c - 5/14*c**4. Factor n(h).
-2*h**2*(h + 1)*(h + 4)/7
What is c in 2/7*c**5 + 758/7*c**3 - 68/7*c**4 + 3240/7*c - 468*c**2 + 7344/7 = 0?
-1, 6, 17
Let -68/5*q**3 + 8/5*q**4 + 0 + 76/5*q**2 + 56/5*q = 0. Calculate q.
-1/2, 0, 2, 7
Let l be ((-3)/(-9))/(2/12). Let j(t) = -t**3 - 97*t**2 + 7*t + 683. Let z be j(-97). Factor -1/3*r**3 - 8/3 - 2*r**l - z*r.
-(r + 2)**3/3
Let z(n) be the second derivative of n**7/28 - n**6/6 + n**5/40 + 3*n**4/4 - n**3/3 - 2*n**2 + 396*n. Solve z(l) = 0 for l.
-1, -2/3, 1, 2
Let n = 16498/24711 + -8/8237. Solve -50/9 + 130/9*m + n*m**3 + 58/9*m**2 = 0 for m.
-5, 1/3
Let u = 8973 - 8971. Let b(i) be the third derivative of 0 - 11*i**u - 1/12*i**6 + 4/105*i**7 + 0*i - 7/30*i**5 + 1/6*i**4 + 0*i**3. Factor b(p).
2*p*(p - 2)*(p + 1)*(4*p - 1)
Let o(q) be the first derivative of 52 + 4/5*q + 3/5*q**2 - 4/15*q**3. Factor o(y).
-2*(y - 2)*(2*y + 1)/5
Let y(b) be the first derivative of 2*b**3/3 + 66*b**2 - 1350*b - 3283. Let y(u) = 0. Calculate u.
-75, 9
Let o be (70/6)/((-2205)/(-756)). Let 56/5*a**2 + 0*a + 4/5*a**o - 36/5*a**3 + 0 = 0. What is a?
0, 2, 7
Let x = -9 - -13. Suppose -43*o + 453 = 66. Find d, given that -o*d**x - 20*d**3 + d**5 - 2*d**2 - 7*d**4 + 10*d**2 + 11*d**5 = 0.
-1, 0, 1/3, 2
Solve 32/17*q**4 + 530/17*q + 188/17*q**3 + 488/17*q**2 + 200/17 + 2/17*q**5 = 0 for q.
-5, -4, -1
Let g(s) be the second derivative of s**5/60 - 55*s**4/36 - 50*s**3/3 - 3*s + 45. Factor g(j).
j*(j - 60)*(j + 5)/3
Factor 486/5 + 2/5*t**2 + 168/5*t.
2*(t + 3)*(t + 81)/5
Let r(b) be the second derivative of -b**9/22680 + b**8/3360 - b**6/270 - 97*b**4/6 + 333*b. Let s(u) be the third derivative of r(u). Factor s(o).
-2*o*(o - 2)**2*(o + 1)/3
Let v be (18/4)/(39/(-6) + 7). Let 131 - 3*i**2 - v*i - 4*i**3 - 104 + 5*i**3 = 0. Calculate i.
-3, 3
Let l(a) be the first derivative of a**6/36 + a**5/5 + a**4/3 - 8*a**3/9 - 4*a**2 - 16*a/3 + 733. Factor l(v).
(v - 2)*(v + 2)**4/6
Find c such that 39/2*c**2 - 99/2 + 249/4*c - 9/4*c**3 = 0.
-3, 2/3, 11
Let j be 2 + (-4 - -4)*(14 + -13). Let s(y) be the first derivative of 1/3*y**j + 2/15*y**5 - 2/9*y**3 - 1/6*y**4 - 14 + 0*y. Factor s(x).
2*x*(x - 1)**2*(x + 1)/3
Suppose 2*r + 14 = 3*g, -34*g - 20*g - 5*r = -88. Find q, given that 28/15*q + 2/15*q**g + 26/15 = 0.
-13, -1
Suppose -14*h + 23 + 5 = 0. Determine r, given that -9*r**h + r**4 + 8 + 12*r + 2*r**3 - 22*r + 8*r = 0.
-4, -1, 1, 2
Let x(k) = 4*k**3 + 28*k**2 - 4*k - 107. Let h be x(-10). Let b = h - -1271. Solve 3/4*u**b + 3/4*u**2 - 9/4*u - 3/2 + 9/4*u**3 = 0.
-2, -1, 1
Let a(c) = c**3 + 9*c**2 + 9*c + 10. Let k be a(-8). Let y be 27/(-42)*28/(-6). Let 0 + 0*z**y + 0*z - 2/9*z**5 + 0*z**k + 0*z**4 = 0. Calculate z.
0
Suppose 0 = -0*d + 5*d - 30. Let y(s) = -s**2 + 43*s - 529. Let k(f) = -2*f**2 + 85*f - 1058. Let v(b) = d*k(b) - 14*y(b). Solve v(l) = 0.
23
Let t(w) be the third derivative of w**5/60 - 11*w**4/8 - 11*w**3/3 + 57*w**2. Let h(a) = a**2 - 34*a - 25. Let y(v) = 6*h(v) - 5*t(v). Factor y(g).
(g - 40)*(g + 1)
Suppose -28439*f = -28483*f. Determine y, given that 4/3*y**3 + 0*y + 56/3*y**2 + f = 0.
-14, 0
Let q be (7/2 + -2)*2. Let a(d) = -2*d**3 + 9*d**2 - 123*d + 480. Let m be a(4). Let -3/2*s**q + 1/2 + 3/2*s - s**m + 1/2*s**2 = 0. Calculate s.
-1, -1/2, 1
Let b be (-2)/(-3)*141/(-94). Let t(a) = 7*a**2 + 7*a. Let s be t(b). Suppose 9/4*r**3 - 3*r - 3/4*r**4 + s*r**2 + 0 = 0. What is r?
-1, 0, 2
Let b(k) = -3*k**2 + 20*k + 355. Let m be b(-8). Let d(s) be the second derivative of s**m - 9*s**2 + 0 + 5/6*s**4 - s + 1/10*s**5. Factor d(p).
2*(p - 1)*(p + 3)**2
Let j(d) be the third derivative of 54*d**4 - 5*d**2 + 1 + 0*d - 1/28*d**8 + 4/7*d**7 - 54*d**3 - 37/40*d**6 - 423/20*d**5. Find h, given that j(h) = 0.
-3, 1/2, 6
Let u be 4338/57 + (-10)/95. Let q = 153/2 - u. What is a in 0*a - 1/4*a**2 + q*a**3 - 1/4*a**4 + 0 = 0?
0, 1
Suppose -3*t = 3*c - 13 - 5, 4*t + 3*c = 21. Suppose 3*j - t*n = 69, 0*j - 4*j + 67 = n. Factor 18 - j*r**2 + 2 + 6*r**2 - 4 - 4*r**3.
-4*(r - 1)*(r + 2)**2
Let j(r) = 10*r - 58. Let m be j(6). Determine u so that u**3 + 3 - 35*u**m + 32*u**2 + 3*u**3 + u - 5*u**3 = 0.
-3, -1, 1
Suppose -3*i - 81 = -3*h + 24, 0 = -2*h - 5*i + 49. Suppose -73 - h - 37*p**2 + 68*p**2 - 2*p**3 - 34*p**2 - 111*p + 5*p**3 = 0. What is p?
-5, -1, 7
Let x(i) = -18*i**2 + 34*i - 12. Let f(n) = -38*n**2 + 67*n - 22. Suppose -14*c + 6 = -11*c. Let p(h) = c*f(h) - 5*x(h). Factor p(a).
2*(a - 2)*(7*a - 4)
Suppose -1290/7*m + 2588/7 - 2/7*m**2 = 0. Calculate m.
-647, 2
Let m(g) = -g**3 + 9*g**2 - 10*g + 25. Let s be m(8). Suppose 0 = s*a - 14 - 4. What is f in 18*f**a - 7*f**2 + 1 - 12*f**2 = 0?
-1, 1
Let w(m) = m**3 + 18*m**2 + 4*m - 217. Let k be w(-17). Let f(d) be the second derivative of 0 + 1/14*d**k - 29*d - 10/7*d**3 + 75/7*d**2. Factor f(s).
6*(s - 5)**2/7
Let b(f) be the first derivative of -f**5 - 35*f**4 + 2530*f**3/3 + 24570*f**2 - 616005*f + 4044. Factor b(q).
-5*(q - 13)**2*(q + 27)**2
Suppose -o**2 + 20*o**4 - 11505 + 23008 + 7*o**5 + 5*o**3 - 19*o**2 - 12*o - 11503 = 0. Calculate o.
-2, -1, -6/7, 0, 1
Suppose 15*z + 162 + 513 = 0. Let c be ((-24)/(-108))/((-85)/z). Solve c*n**3 + 30/17*n**2 + 98/17 + 126/17*n = 0 for n.
-7, -1
Let p(w) = 9*w**3 - 2*w**2 - 3*w + 4. Let a be p(1). Factor 55*i - 1 - 163*i + 48*i + 51*i - a*i**2.
-(i + 1)*(8*i + 1)
Factor 1529/9*x - 2420/9 - 113/3*x**2 - 1/9*x**4 + 31/9*x**3.
-(x - 11)**2*(x - 5)*(x - 4)/9
Let t(j) be the second derivative of j**5/8 - 5*j**4/8 - 1265*j**3/12 + 1275*j**2/4 - 13834*j. Factor t(x).
5*(x - 17)*(x - 1)*(x + 15)/2
Let s(u) = -u**2 + 14*u - 11. Let d(l) = -l**2 - 9*l - 8. Let f be d(-5). Let a be s(f). Factor -o - o - 3 - a*o**2 + 14*o**2 + 0.
(o - 3)*(o + 1)
Let u be ((-1)/(-3))/((-1)/(-9)). Suppose t - 54 = -u*f, 4*t = -2*f - 0*f + 46. Find i, given that -f + 0 - 94*i + 14*i**2 - 19 + 8 = 0.
-2/7, 7
Let w(j) be the first derivative of j**4/2 - 82*j**3/3 + 116*j**2 - 152*j + 9738. Let w(q) = 0. Calculate q.
1, 2, 38
Suppose -9*w**4 + 42*w**2 + w**4 + 5*w**3 - 5*w**5 - 6*w**4 - 11*w**4 - 17*w**2 = 0. What is w?
-5, -1, 0, 1
Let -3488/7 - 5224/7*p - 1732/7*p**2 + 4/7*p**3 = 0. Calculate p.
-2, -1, 436
Suppose -5*j = -2*y + 3 + 21, 2*y + 16 = -5*j. Suppose 3*z - 121 - 11 = -y*q, 4*q = 3*z - 132. Factor 8*o**3 - 4*o**4 + 8*o**3 + 32*o**2 - z*o**2.
-4*o**2*(o - 3)*(o - 1)
Factor 80 + 1914*z**4 + 23*z**2 + 50*z**3 + 142*z**2 + 200*z - 1909*z**4.
5*(z + 1)**2*(z + 4)**2
Let k(n) be the second derivative of -9*n**2 - 1/120*n**5 + 1/480*n**6 + 0*n**3 + 0 - 17*n - 1/32*n**4. Let t(z) be the first derivative of k(z). Factor t(r).
r*(r - 3)*(r + 1)/4
Let a be ((-18)/(-2))/((-6)/4)*(-8)/12. Let f(n) be the second derivative of -n + 0 + 1/54*n**a - 1/3*n**2 - 2/27*n**3. Factor f(b).
2*(b - 3)*(b + 1)/9
Let y(s) be the third derivative of -46*s + 2*s**2 + 2/3*s**3 + 1/30*s**5 + 0 - 1/4*s**4. Factor y(u).
2*(u - 2)*(u - 1)
Let l(b) = 79*b + 474. Let d be l(-6). Let p(w) be the first derivative of 15/2*w**2 + d*w + 9 + 5/3*w**3. Factor p(v).
5*v*(v + 3)
Find w, given that -2/9*w**2 - 224/3*w - 222 = 0.
-333, -3
Determine z, given that 321380*z**3 + 125*z**2 - 321446*z**3 + 2*z**4 - z**2 = 0.
0, 2, 31
Suppose 3*x = 94 - 40. Suppose -3*i - x = -12*i. What is n in 21*n**i + 64*n**3 - 40*n**3 + 75*n**4 - 40*n - 45*n**5 - 81*n**2 + 46*n**3 = 0?
-2/3, 0, 1, 2
Suppose 0 = -5*n + 5, -6*i + 4*i - 980 = 2*n. Let p = 493 + i. Factor b + 3/2*b**p - 1/2.
(b + 1)*(3*b - 1)/2
Let p(f) be the third derivative of f**7/840 - 71*f**6/480 + 337*f**5/240 - 155*f**4/32 + 33*f**3/4 + 5*f**2 - 35*f. Factor p(h).
(h - 66)*(h - 3)*(h - 1)**2/4
Factor 0 - 27*a + 3/2*a**2.
3*a*(a - 18)/2
Let m(o) be the first derivative of o**5/50 - 4*o**4/15 + 4*o**3/5 - 83*o + 83. Let c(n) be the first derivative of m(n). Suppose c(s) = 0. Calculate s.
0, 2, 6
Let l be (-12)/(-30) - (-2 + 22/5). Let r be 437/161 + l/(-7). Solve -16/5*y**5 - r*y**3 