*5 - 3*z - 5/3*z**3. Solve u(l) = 0 for l.
-2, 0
Let s(x) be the third derivative of x**5/30 + 7*x**4/6 + 16*x**3 + 97*x**2. Factor s(z).
2*(z + 6)*(z + 8)
Let o = 42 + -38. Suppose 15*z**3 + 32*z**4 + 5*z**5 - 21*z**4 + 9*z**o = 0. What is z?
-3, -1, 0
Let y = 24/163 - -7704/815. Let m = 18 + -3. Factor -12/5 - m*d**2 - y*d - 3/5*d**5 - 21/5*d**4 - 57/5*d**3.
-3*(d + 1)**3*(d + 2)**2/5
Let 2*q**3 - 18*q + 2/3*q**2 - 6 = 0. What is q?
-3, -1/3, 3
Let v(g) be the first derivative of g**6/30 + 2*g**5/15 - g**4/6 - 4*g**3/3 - 17*g**2 + 31. Let k(j) be the second derivative of v(j). Let k(a) = 0. What is a?
-2, -1, 1
Let y(w) be the first derivative of -w**3/9 - 107*w**2/3 - 11449*w/3 - 155. Factor y(i).
-(i + 107)**2/3
Let d(l) = -10*l**3 + 600*l**2 - 600*l + 5. Let h(j) = -5*j**3 + 300*j**2 - 299*j + 2. Let s(r) = -2*d(r) + 5*h(r). Factor s(q).
-5*q*(q - 59)*(q - 1)
Suppose 5*i + 1 = 1. Let u(z) be the third derivative of -1/10*z**7 + 5/112*z**8 + i*z - 1/4*z**4 - 3/40*z**6 - 6*z**2 + 7/20*z**5 + 0 + 0*z**3. Solve u(d) = 0.
-1, 0, 2/5, 1
Let w(r) be the second derivative of r**5/20 - r**4/3 + 5*r**3/6 - 2*r**2 - 11*r. Let q be w(3). Suppose 0 + 4/9*y**q - 2/9*y**3 - 2/9*y = 0. What is y?
0, 1
Let s(n) be the first derivative of -2 - 8/5*n**2 - 2/15*n**3 - 32/5*n. Factor s(h).
-2*(h + 4)**2/5
Factor -8523*o - o**4 + 8*o**4 - o**4 + 12 + 34*o**3 + 62*o**2 + 8569*o.
2*(o + 1)**2*(o + 3)*(3*o + 2)
Let j be (-18)/7*(-28)/40 + -1. Factor -2/5*x**3 - j*x**2 + 0 + 0*x + 2/5*x**4.
2*x**2*(x - 2)*(x + 1)/5
Suppose 21*y - 26*y - p = -14, -2 = 2*p. Let d(v) be the first derivative of 0*v + 1/22*v**4 + 0*v**y - 1/11*v**2 - 5. Suppose d(f) = 0. Calculate f.
-1, 0, 1
Suppose -17*w + 22*w - 25 = 0. Let u(h) be the third derivative of 0*h + h**2 - 1/20*h**w + 0 + 0*h**3 + 1/120*h**6 + 1/12*h**4. Solve u(v) = 0 for v.
0, 1, 2
Let u(k) be the third derivative of 35*k**6/24 + 6*k**5 + 65*k**4/8 + 5*k**3/3 - 7*k**2 - 2*k. Factor u(m).
5*(m + 1)**2*(35*m + 2)
Let w(r) be the first derivative of 5*r**7/42 - r**6/2 + 5*r**4/3 + 12*r + 1. Let y(t) be the first derivative of w(t). Factor y(b).
5*b**2*(b - 2)**2*(b + 1)
Let v(j) = -j**4 + 2*j**3 - 5*j**2 - 4*j. Let f(b) = -b**4 + b**3 - b**2 - b. Let k(o) = -4*f(o) + 2*v(o). Factor k(l).
2*l*(l - 2)*(l + 1)**2
Let a(k) be the second derivative of 0 - 2*k**2 + 0*k**4 - 1/120*k**5 - 2*k + 1/12*k**3. Let p(h) be the first derivative of a(h). Factor p(o).
-(o - 1)*(o + 1)/2
Factor 6*b**2 + 22*b**2 + 620*b + 1851*b**3 + 12*b**4 + 207 - 7 - 1943*b**3.
4*(b - 5)**2*(b + 2)*(3*b + 1)
Let x(w) be the first derivative of -w**4 - 11 + 8/3*w**3 + 6*w**2 + 0*w. Determine n, given that x(n) = 0.
-1, 0, 3
Suppose 0 = -s - 3, 2*s = -4*b + 5*s + 33. Let t be -5*(-9)/(2025/b). Factor -4/15*u**4 + 0*u**2 - t*u**3 + 0 + 0*u - 2/15*u**5.
-2*u**3*(u + 1)**2/15
Determine l, given that 46/5*l**2 - 1/5*l**5 - 4*l**4 + 212/5*l - 49/5*l**3 + 136/5 = 0.
-17, -2, -1, 2
Find j such that -9 - 12/7*j + 3/7*j**2 = 0.
-3, 7
Let q = 2245 - 2245. Factor q - 1/2*p + 1/6*p**2.
p*(p - 3)/6
Determine u so that 18/7*u - 4/7*u**2 - 16/7*u**3 - 2/7*u**5 - 8/7 + 12/7*u**4 = 0.
-1, 1, 4
Let w = -105 - -111. Let v(i) be the third derivative of 1/540*i**w - 1/90*i**5 + 0 - 1/108*i**4 - 4*i**2 + 1/9*i**3 + 0*i. Factor v(n).
2*(n - 3)*(n - 1)*(n + 1)/9
Let s(g) be the first derivative of 3*g**4/4 - 3*g**2/2 + 24. Factor s(i).
3*i*(i - 1)*(i + 1)
Let p(a) be the first derivative of 2/3*a**3 + 4 - 5/4*a**4 + 0*a**2 + 0*a - 16/5*a**5 - 3/2*a**6. Suppose p(b) = 0. What is b?
-1, 0, 2/9
Let g(c) be the second derivative of c**7/98 - 6*c**6/35 + 24*c**5/35 + 4*c**4/7 - 72*c**3/7 + 192*c**2/7 + 116*c. Determine u so that g(u) = 0.
-2, 2, 8
Let z = -27/497 + 1545/994. Factor -z - 1/4*n**2 + 7/4*n.
-(n - 6)*(n - 1)/4
Let k(x) be the second derivative of -x**5/50 + 3*x**4/10 - x**3 - 5*x**2 - 20*x + 3. Factor k(h).
-2*(h - 5)**2*(h + 1)/5
Let h be (4/(-2))/(0 + 11/(-9 - 13)). Factor 15/2*q**3 - 3 - 3/4*q**5 - 15*q**2 + 0*q**h + 45/4*q.
-3*(q - 1)**4*(q + 4)/4
Let t = 35 + -33. What is y in t*y**2 + 18 + 8*y - 4*y + 8*y = 0?
-3
Let p(d) be the second derivative of -2*d + 0 + 1/6*d**3 + 55/48*d**4 - 5/4*d**5 - 1/2*d**2. Let p(z) = 0. What is z?
-1/4, 2/5
Suppose -c - 12 = -3*n + 2*c, 4*n - 20 = 5*c. Let o be 1 + n/(-3 - -4) - -1. Factor -4/7*u**o - 2/7*u + 0 - 2/7*u**3.
-2*u*(u + 1)**2/7
Find u such that -52/5 + 2*u**2 + 126/5*u = 0.
-13, 2/5
Let l(d) = -2*d - 1. Let p be l(-5). Suppose -5*r - 8 = -p*r. Factor 3*z**4 - 2*z**4 - z**r - 3*z**3 + 0*z**2 + 3*z**5.
z**2*(z - 1)*(z + 1)*(3*z + 1)
Let d(f) be the third derivative of -1/51*f**3 + 0*f + 0 + 1/255*f**5 - 1/1785*f**7 + 1/510*f**6 - 1/204*f**4 - 1/2856*f**8 + 20*f**2. Factor d(m).
-2*(m - 1)**2*(m + 1)**3/17
Let 28*o**2 + 143 - 64*o - 65 - 62 = 0. Calculate o.
2/7, 2
Let d be (-6)/(-21) - 611/(-1316). Factor -d*q**2 + 3/4 + 0*q.
-3*(q - 1)*(q + 1)/4
Let o(w) be the first derivative of -2*w**3/3 - 7*w**2 + 65. Solve o(c) = 0.
-7, 0
Let x be ((-2)/(-6))/((-1)/(-159)). Let n = -38 + x. Factor 11*d**3 + 12*d**4 - 12*d**5 + n*d**5 + d**3.
3*d**3*(d + 2)**2
Let o(x) be the third derivative of x**6/300 - 13*x**5/75 + 169*x**4/60 + 6*x**2 + 2. Let o(s) = 0. Calculate s.
0, 13
Let d(j) be the first derivative of 2/7*j**3 + 18 + 2/7*j**5 + 0*j**2 + 0*j - 1/21*j**6 - 1/2*j**4. Suppose d(k) = 0. Calculate k.
0, 1, 3
Let c(g) be the third derivative of -g**8/336 + g**7/105 + 13*g**6/120 + g**5/6 + 21*g**2. Factor c(o).
-o**2*(o - 5)*(o + 1)*(o + 2)
Let h(m) = m**3 - m - 1. Let v(b) = 32*b**2 + 60*b + 30. Let n(t) = -4*h(t) - 2*v(t). Factor n(f).
-4*(f + 1)**2*(f + 14)
Let y = 0 - -2. Factor -3*q**2 - 1 + 8*q**2 - q**y - q**4 - 2*q**2.
-(q - 1)**2*(q + 1)**2
Determine y so that y**5 + 9*y**5 + y**5 + 12*y**4 - 16*y**2 - 7*y**5 = 0.
-2, 0, 1
Let j(p) be the third derivative of -p**5/20 - 11*p**4/4 + 29*p**2. Determine c, given that j(c) = 0.
-22, 0
Let w be 552/28 - 4/(-14). Suppose -2*y = -6*y + w. Factor -34*u**2 - 4 + 17*u**4 + 4*u**3 + 23*u**4 + 124*u**5 - 108*u**y - 22*u.
2*(u - 1)*(u + 2)*(2*u + 1)**3
Let x(n) be the first derivative of 25*n**3/18 + 5*n**2/3 + 2*n/3 - 104. Let x(g) = 0. What is g?
-2/5
Let x(w) be the first derivative of w**8/784 - 3*w**7/490 + 3*w**6/280 - w**5/140 - 11*w**2/2 - 9. Let k(d) be the second derivative of x(d). Factor k(u).
3*u**2*(u - 1)**3/7
Let l be 8/(-6)*(-15)/10. Suppose -3 = -l*v + v. Factor -w**2 - 3*w**3 + w**2 - 3*w**2 + v*w + 3.
-3*(w - 1)*(w + 1)**2
Let u be (-8 - 2380/(-300))*0. Determine b, given that -2/5*b + u - 2/5*b**2 = 0.
-1, 0
Factor -5*n**3 + 466 - 934 + 468.
-5*n**3
Factor 0*u + u**2 - 59/2*u**3 + 135/2*u**4 + 0.
u**2*(5*u - 2)*(27*u - 1)/2
Let c(d) be the second derivative of -2*d**7/315 + d**6/36 - d**5/30 - 11*d**4/6 + 8*d. Let q(p) be the third derivative of c(p). Determine n so that q(n) = 0.
1/4, 1
Let w be -4 + (27 - 6) + -17. Suppose 0 + w*d + 0*d**2 - 2/5*d**3 = 0. Calculate d.
0
Let g(f) = -2*f**2 - 21*f + 41. Let o(s) = s**2 - 2*s - 3. Let h(t) = g(t) - 3*o(t). Factor h(d).
-5*(d - 2)*(d + 5)
Let i(v) be the third derivative of v**7/70 - 3*v**6/2 + 135*v**5/2 - 3375*v**4/2 + 50625*v**3/2 - 322*v**2. Determine z, given that i(z) = 0.
15
Determine p so that 193*p + 0*p**2 - 10092 + 195*p - 3*p**2 - 40*p = 0.
58
Let u(w) be the third derivative of -w**5/60 - 5*w**4/6 - 6*w**3 - 145*w**2. Factor u(b).
-(b + 2)*(b + 18)
Let i(y) be the third derivative of 0 + 0*y**3 - 1/132*y**4 - 1/165*y**5 + 1/1848*y**8 + 2/1155*y**7 + 0*y**6 + 0*y - 22*y**2. Factor i(x).
2*x*(x - 1)*(x + 1)**3/11
Let j be 0*((-30)/(-20))/3. Find i such that -3*i**5 + 0*i + 5/2*i**3 + 1/2*i**4 + j - i**2 = 0.
-1, 0, 1/2, 2/3
Let l(b) = 2*b**2 + 25*b + 18. Let f be l(-12). Let v(n) be the third derivative of -1/3*n**3 + 0 + 1/30*n**5 + f*n**2 + 0*n + 0*n**4. What is x in v(x) = 0?
-1, 1
Let p(w) = -16*w**2 - 29*w - 18. Let y be (-3 - (-30)/25) + (-1)/5. Let s(f) = 7*f**2 + 14*f + 9. Let c(o) = y*p(o) - 5*s(o). Let c(g) = 0. Calculate g.
-3, -1
Let f(o) be the first derivative of -10/9*o**3 + 2/3*o**2 - 38 + 0*o + 1/2*o**4. Let f(q) = 0. What is q?
0, 2/3, 1
Let k = 426 + 148. Let 0*v + 569*v**2 - 15 + 20*v - k*v**2 = 0. What is v?
1, 3
Factor -768/7*u - 72/7*u**2 - 2/7*u**3 - 2048/7.
-2*(u + 4)*(u + 16)*