 = 0. Let k = 87 + y. Factor k*n - 16*n + 24 - 26*n**2 + 20*n**3 - 46*n**2.
4*(n - 3)*(n - 1)*(5*n + 2)
Let t be -32*(-4)/(-168)*-3. Let f = -135/8 + 977/56. Factor -16/7*q + f*q**2 + t.
4*(q - 2)**2/7
Let o be (4 - (13 + -6)) + 6. Let g(s) be the first derivative of 3/4*s**3 + 3/4*s**2 + 0*s + 3/16*s**4 + o. Factor g(c).
3*c*(c + 1)*(c + 2)/4
Let t(a) = 7*a - 24. Suppose 0 = v + 5*v - 36. Let b be t(v). Factor 9*d + b*d**3 - 3 + 585*d**2 - 552*d**2 + 3*d.
3*(d + 1)**2*(6*d - 1)
Let u = -170194 - -510583/3. Let h(x) = x**2 - x - 3. Let c be h(3). Factor u*i + 0 - 1/6*i**c + 1/6*i**2.
-i*(i - 2)*(i + 1)/6
Let b(j) be the third derivative of 0 + 1/80*j**5 + 1/4*j**3 - 11/96*j**4 + 1/160*j**6 - 1/840*j**7 + 0*j - 37*j**2. Factor b(y).
-(y - 3)*(y - 1)**2*(y + 2)/4
Let f = -81191 - -405959/5. Factor -32*b + f*b**2 + 320.
4*(b - 20)**2/5
Let q(w) be the first derivative of -w**6/24 + 11*w**5/4 - 177*w**4/8 + 221*w**3/3 - 121*w**2 + 96*w - 959. Factor q(h).
-(h - 48)*(h - 2)**3*(h - 1)/4
Let m(l) be the third derivative of 61*l**2 + 0*l + 1/24*l**4 + 0 + 1/90*l**5 - 1/9*l**3. Factor m(z).
(z + 2)*(2*z - 1)/3
Let m(r) be the second derivative of -10 + 2*r + 130/27*r**3 + 169/54*r**4 + 25/9*r**2. Let m(a) = 0. Calculate a.
-5/13
Let p(f) be the third derivative of f**7/840 - 11*f**6/960 + f**5/24 - f**4/16 - 3643*f**2. Solve p(t) = 0.
0, 3/2, 2
Let z(n) be the second derivative of 5*n**4/48 + 55*n**3/8 + 325*n**2/2 - 1135*n. Determine s, given that z(s) = 0.
-20, -13
Let 3/2*c**5 - 57*c**3 + 22*c**4 + 0 - 17/2*c + 42*c**2 = 0. Calculate c.
-17, 0, 1/3, 1
Let y(u) be the first derivative of 1/630*u**5 - 1/21*u**3 + 1/126*u**4 + 0*u - 16 - 2*u**2. Let w(s) be the second derivative of y(s). Factor w(q).
2*(q - 1)*(q + 3)/21
Suppose -2*t + 1094 = 2*f, 3*t - 1124 = t + 4*f. Find q such that 373*q**3 + 153 - 154*q - 375*q**3 + t - 40*q**2 - 221 = 0.
-11, 2
Let s be (-4)/(-17)*149 + (-1605)/27285. Factor -110/3*h - 5/3*h**2 - s.
-5*(h + 1)*(h + 21)/3
Let o(q) be the third derivative of 0*q + 1/105*q**7 + 0 - 64/3*q**3 + 6/5*q**5 + 4/3*q**4 + 11/60*q**6 + 128*q**2. Factor o(j).
2*(j - 1)*(j + 4)**3
Let o(c) = 911*c + 36. Let q be o(4). Factor 3680 - q + 4*y + 4*y**2.
4*y*(y + 1)
Suppose -3*x - 38 = -22*x. Suppose 17*r**2 - 35*r**3 + 35*r - 10 - 19*r**2 + 57*r**x - 45*r**4 = 0. Calculate r.
-1, 2/9, 1
Let a(m) = -8*m**2 + 2203*m - 693. Let s(j) = j**2 - 367*j + 116. Let c(x) = 4*a(x) + 26*s(x). Factor c(r).
-2*(r + 122)*(3*r - 1)
Suppose 4*x = 13*x - 45. Determine h, given that -8 - 1803*h - 22*h**2 + 2*h**5 + 2*h**3 - 4*h**x + 6*h**4 + 1827*h = 0.
-2, 1, 2
Let s(x) be the second derivative of -x**6/70 + 9*x**5/140 + 5*x**4/7 - 6*x**3 + 120*x**2/7 + x - 492. Find w, given that s(w) = 0.
-5, 2, 4
Determine r so that -73560059/3 + 175561*r - 419*r**2 + 1/3*r**3 = 0.
419
Let d(b) be the first derivative of -9/4*b**3 + 76 - 21/4*b - 45/8*b**2 - 3/16*b**4. Let d(l) = 0. What is l?
-7, -1
Let i(w) be the second derivative of w**6/120 + 9*w**5/20 - 19*w**3/3 + w + 66. Let u(p) be the second derivative of i(p). Factor u(v).
3*v*(v + 18)
Factor 96*z**4 - 95*z**4 + 98*z**2 - 7*z**3 - 6*z**3 + 48 - 44*z**2 + 8 - 92*z.
(z - 7)*(z - 2)**3
Let q be ((-350)/80 - -5)/(21/6 + -1). Let t(m) = -m**3 + 6*m**2 - m + 6. Let d be t(6). Factor d + 1/4*g - 1/4*g**2 - 1/4*g**3 + q*g**4.
g*(g - 1)**2*(g + 1)/4
Let j(l) be the second derivative of -7/9*l**3 + 1/54*l**4 + 1 - 18*l + 20/9*l**2. Solve j(r) = 0.
1, 20
Suppose 5*d - 4*c = -3*c + 10, d - 2 = c. Let h be (-1 - d/(-2)) + 0. Factor 4/5*w**2 - 2/5*w + h - 2/5*w**3.
-2*w*(w - 1)**2/5
Let j be 1986/1324*(39 - 2). Determine f so that -93/2*f**3 - 27/2*f + 0 + 9/2*f**4 + j*f**2 = 0.
0, 1/3, 1, 9
Find j such that -2*j**5 + 18*j**4 - 368*j**2 + 162*j**2 + 166*j**2 + 24*j**3 = 0.
-2, 0, 1, 10
Determine h, given that 8/7 + 55/7*h**4 - 26/7*h**3 - 18/7*h**5 - 33/7*h**2 + 2*h = 0.
-1/2, -4/9, 1, 2
Let h(u) be the third derivative of -u**6/450 + u**5/15 - 7*u**4/10 - 34*u**3/3 + 4*u**2 - 2. Let p(v) be the first derivative of h(v). Let p(y) = 0. What is y?
3, 7
Let q(n) be the second derivative of -n**7/63 - 9*n**6/5 - 407*n**5/5 - 16214*n**4/9 - 53240*n**3/3 + 7689*n. Solve q(i) = 0 for i.
-22, -15, 0
Let a(y) be the first derivative of -3*y**5/5 + 21*y**4 - 141*y**3 + 303*y**2 - 264*y - 1695. Let a(i) = 0. Calculate i.
1, 4, 22
Factor -1391112 - 2/9*v**2 - 1112*v.
-2*(v + 2502)**2/9
Let g(x) be the third derivative of -x**8/84 - 34*x**7/105 - 18*x**6/5 - 64*x**5/3 - 224*x**4/3 - 160*x**3 - x**2 - 1377. Factor g(u).
-4*(u + 2)**3*(u + 5)*(u + 6)
Suppose 2*n + 15 = 7*n. Let x = 5053 - 5049. Solve n*j**2 - 3/2*j**x + 3*j**5 + 3*j - 3/2 - 6*j**3 = 0 for j.
-1, 1/2, 1
Let a(v) be the first derivative of -v**3/12 - 11*v**2 - 160*v + 1157. Factor a(k).
-(k + 8)*(k + 80)/4
Let 2240 + 1549*v + 19424*v**2 - 6720*v**3 - 3223*v - 10614*v - 100*v**4 = 0. Calculate v.
-70, 2/5, 2
Let j(v) be the second derivative of 0*v**2 + 0*v**4 - 1/20*v**5 + 8/9*v**3 - 1/180*v**6 + 0 + 33*v. Find t, given that j(t) = 0.
-4, 0, 2
Let z(n) be the third derivative of 1/96*n**6 + 1/840*n**7 - 32*n**2 + 1/24*n**4 + 0*n + 1/30*n**5 + 0 + 0*n**3. Determine u, given that z(u) = 0.
-2, -1, 0
Let t(p) be the second derivative of -p**7/112 - 3*p**6/40 - 9*p**5/40 - 5*p**4/16 - 3*p**3/16 - 7*p - 26. Factor t(i).
-3*i*(i + 1)**3*(i + 3)/8
Let g(q) be the first derivative of -q**6/480 - q**5/120 + q**4/32 - 101*q**2/2 + 122. Let z(f) be the second derivative of g(f). Factor z(b).
-b*(b - 1)*(b + 3)/4
Let m(w) be the second derivative of -w**6/70 - 3*w**5/20 - 3*w**4/7 + 15*w - 131. What is q in m(q) = 0?
-4, -3, 0
Let z(y) be the first derivative of 0*y**3 + 1/210*y**5 - 5/84*y**4 + 0*y - 9/2*y**2 + 1. Let w(t) be the second derivative of z(t). Factor w(g).
2*g*(g - 5)/7
Let z(q) = -q**2 + 8*q - 10. Let b(l) = -2*l**2 - 17*l - 2. Let d be b(-8). Let r be z(d). Let -2*n**4 - n**3 - 584*n**r - n**5 + 584*n**2 = 0. What is n?
-1, 0
Let j(t) be the first derivative of t**4 - 2312*t**3/3 + 167042*t**2 - 1408. Factor j(w).
4*w*(w - 289)**2
Factor -2/9*c**3 - 286/9*c + 104/9*c**2 - 392/9.
-2*(c - 49)*(c - 4)*(c + 1)/9
Let k(p) = -p**2 - 4*p + 4. Let m be k(-4). Factor 211 - 972*l + 270*l**2 + l**m - 28*l**3 + 10 + 0*l**4 + 508.
(l - 9)**3*(l - 1)
Let l(w) be the first derivative of -3*w**4/4 + 15*w**3 + 111*w**2/2 - 153*w - 5906. Find v such that l(v) = 0.
-3, 1, 17
Let l(f) = 11*f**3 + 300*f**2 - 8. Let a(k) = -4*k**3 - 103*k**2 + 3. Let o(s) = 8*a(s) + 3*l(s). Determine j, given that o(j) = 0.
-76, 0
Let o(v) be the second derivative of v**5/40 - 25*v**4/8 - 51*v**3/4 - 77*v**2/4 + 209*v + 2. Factor o(y).
(y - 77)*(y + 1)**2/2
Let i = 3931 - 3928. Let g(j) be the third derivative of 0*j + 0 - 1/120*j**5 - 1/4*j**i + 5*j**2 - 1/12*j**4. Factor g(y).
-(y + 1)*(y + 3)/2
Factor -17873/6*l - 3721 - 1/6*l**4 + 39/2*l**3 - 1039/2*l**2.
-(l - 61)**2*(l + 2)*(l + 3)/6
Let 3/7*v**4 + 27/7*v**2 - 12/7*v + 18/7*v**3 - 36/7 = 0. Calculate v.
-3, -2, 1
Let g(q) be the first derivative of -50 + 20*q + 0*q**2 - 5/3*q**3. Factor g(f).
-5*(f - 2)*(f + 2)
Let x(f) be the first derivative of 2601*f**4/8 - 1003*f**3 + 424*f**2 - 64*f - 10059. Find o such that x(o) = 0.
8/51, 2
Let w(n) be the first derivative of -2*n**5/15 - 11*n**4/30 - 2*n**3/15 + 7*n**2/15 + 8*n/15 + 547. What is x in w(x) = 0?
-1, 4/5
Let j(n) be the second derivative of -5*n**4/12 - 35*n**3/2 + 115*n**2 + 527*n + 2. Factor j(b).
-5*(b - 2)*(b + 23)
Let o(p) be the third derivative of p**7/840 - 9*p**6/160 + 3*p**5/10 - 283*p**2 + 4*p. Let o(q) = 0. What is q?
0, 3, 24
Let y be (18/15)/(1/(-5)). Let p be ((-16)/y)/(6/9). Solve -23*i**4 + 133 + 83*i**p + 1080*i**2 + 839 - 4*i**5 - 1620*i - 360*i**3 = 0.
3
Let n = 7089 + -4466069/630. Let p(a) be the third derivative of 1/21*a**3 + n*a**5 + 0*a - 5/252*a**4 + 1/1260*a**6 + 0 - 10*a**2. Let p(t) = 0. Calculate t.
-3, 1
Let p(z) be the first derivative of -z**6/50 - 3*z**5/50 + z**3/5 + 3*z**2/10 - 14*z - 212. Let x(b) be the first derivative of p(b). Factor x(y).
-3*(y - 1)*(y + 1)**3/5
Solve 26733*o**4 + 4851*o**4 - 87210*o**2 - 3240 - 70395*o**3 + 6828*o**4 - 29700*o - 4117*o**4 = 0 for o.
-6/19, 3
Let a(k) be the second derivative of k**6/120 + 251*k**5/80 + 1244*k. Factor a(g).
