4 - 3/4*j.
3*j*(j - 2)*(2*j - 1)**2/8
Let x be -8 + (3/(-30))/((-3)/258). Let y(z) be the first derivative of 0*z**3 - x*z**2 + 1/10*z**4 + 10 + 4/5*z. Solve y(j) = 0 for j.
-2, 1
Let w(y) be the second derivative of 0*y**2 - 1/7*y**3 - 11*y - 5/28*y**4 + 0. Factor w(r).
-3*r*(5*r + 2)/7
Let u be (-27)/54*0/2. Let n(b) be the second derivative of 0*b**2 - 1/16*b**4 + 3*b + u + 1/8*b**3. Solve n(m) = 0 for m.
0, 1
Let j(c) be the second derivative of -4*c**5/35 + 5*c**4/21 - c + 55. Find z such that j(z) = 0.
0, 5/4
Let j(t) be the second derivative of -1/2*t**2 - 14*t + 1/12*t**4 + 0 + 0*t**3. Suppose j(d) = 0. What is d?
-1, 1
Let y(g) be the first derivative of -2*g**3/57 - 39*g**2/19 + 164*g/19 - 523. Solve y(d) = 0.
-41, 2
Let j = -69 + 141/2. Let a be (150/100)/(4/8). Factor -15/4*r**2 - 3/2*r**a + j - 3/4*r.
-3*(r + 1)*(r + 2)*(2*r - 1)/4
Let 110148*k**4 - 94*k**2 - 110993*k**4 - 585*k**3 + 334*k**2 - 20*k = 0. Calculate k.
-1, 0, 2/13
Let n(l) = -87*l**2 + 630*l - 1747. Let j(b) = -55*b**2 + 420*b - 1165. Let d(a) = -8*j(a) + 5*n(a). Factor d(i).
5*(i - 39)*(i - 3)
Suppose 3*o - 11 = -5*m, -4*o + 10 = -5*m + 7*m. Find y, given that -12/5*y**o + 21/5*y + 21/5*y**5 + 6/5 - 42/5*y**3 + 6/5*y**4 = 0.
-1, -2/7, 1
Let i be (63/(-168) + 0)*2/(-6). Suppose i*j**2 + 1/8*j - 1/4 = 0. Calculate j.
-2, 1
Suppose 1/3*h**4 - 19/3*h + 19/3*h**3 + 17/3*h**2 - 6 = 0. What is h?
-18, -1, 1
Let g = -2/3467 - -3471/6934. Find o such that -5/6*o**3 - g*o**4 + 1/2*o**2 + 2/3*o**5 + 1/6*o + 0 = 0.
-1, -1/4, 0, 1
What is b in -7/11*b**5 - 26/11*b**4 - 27/11*b**3 + 0 - 4/11*b**2 + 4/11*b = 0?
-2, -1, 0, 2/7
Let s be (-103)/830 + ((-21)/(-35))/1. Let j = s - -2/83. Factor 0*p + 1/2*p**5 - 1/2*p**2 - j*p**3 + 0 + 1/2*p**4.
p**2*(p - 1)*(p + 1)**2/2
Let v be (4/(-54))/(8/(-36)). Factor -1/6*m**3 - 2/3*m**2 - 5/6*m - v.
-(m + 1)**2*(m + 2)/6
Let g(c) = 27*c**2 + 18*c + 15. Let h be (3/2 + 1)*-2. Let k(s) = 11*s**2 + 7*s + 6. Let l = 98 + -86. Let v(z) = h*g(z) + l*k(z). Factor v(m).
-3*(m + 1)**2
Let z(r) = 7*r**2 - 35*r - 8. Let l be z(6). Let i be (-3)/(-2)*l/153. Factor -i*o**4 + 2/3*o + 1/3*o**2 + 0 - 2/3*o**3.
-o*(o - 1)*(o + 1)*(o + 2)/3
Suppose -5*f = -3*s + 41, f - s + 7 + 2 = 0. Let t be (-3)/(-5) - (-2)/((-10)/f). Find n such that -9/2*n**t - 3*n + 6 - 3/4*n**4 + 15/4*n**3 = 0.
-1, 2
Suppose 2/7*l**2 + 6050/7 - 220/7*l = 0. Calculate l.
55
Let h(u) = 13*u**3 + 16*u**2 - 13*u - 16. Let k(o) = 7*o**3 + 8*o**2 - 7*o - 8. Let s = -5 - -10. Let a(t) = s*k(t) - 3*h(t). Factor a(d).
-4*(d - 1)*(d + 1)*(d + 2)
Suppose -q + 21 = 2*q - 2*c, 0 = q - 3*c. Determine n, given that 13*n**3 - 14*n**3 + n - 6*n**2 - 3*n**4 + q*n**2 = 0.
-1, -1/3, 0, 1
Let w(d) = -5*d - 144. Let u be w(-29). Let p be (-4)/10 + (48/15 - u). Suppose 0*r - p*r**2 + 12/5 + 3/5*r**3 = 0. What is r?
-1, 2
Let p(r) be the second derivative of -2*r**6/21 + 6*r**5/35 - r**4/21 - 10*r - 4. Factor p(x).
-4*x**2*(x - 1)*(5*x - 1)/7
Let k(s) = -s**2 - 38 - 31 + 72 + 2*s. Let r(f) = -f**2 + 2*f + 4. Let g(i) = -5*k(i) + 4*r(i). Let g(h) = 0. What is h?
1
Let t(h) = 3*h - 19. Let g be t(7). Factor 9*o**2 + 24 - 20*o + 5*o**2 - 18*o**g.
-4*(o - 1)*(o + 6)
Let l(d) be the second derivative of -5*d**4/12 - 5*d**3 + 40*d**2 + 47*d. Factor l(f).
-5*(f - 2)*(f + 8)
Suppose 11 = v - 11. Suppose c = -5*n + v, 16 = 2*c - 4*n - 0*n. Solve 6*g**2 + 2 - c*g - 8*g**4 + 17*g**3 + 2*g - 7*g**3 = 0.
-1, 1/4, 1
Let c(f) be the first derivative of 0*f + 5/3*f**3 + 5/4*f**4 - 2 + 0*f**2 - 5/6*f**6 - f**5. Factor c(n).
-5*n**2*(n - 1)*(n + 1)**2
Suppose 0 = 22*x + 2*x - 48. Let n(w) be the second derivative of 1/6*w**4 + 9*w**2 + 4*w + 0 - x*w**3. Solve n(p) = 0.
3
Let f(r) be the first derivative of 3*r**4/14 + 18*r**3/7 + 81*r**2/7 + 162*r/7 + 22. Factor f(p).
6*(p + 3)**3/7
Let h = 18 - 11. Let t be 20/12 + 1 + 6/(-9). Factor -2 + 4 - 8*f**2 - f + 0*f + h*f**t.
-(f - 1)*(f + 2)
Let x(u) be the first derivative of 4*u**3/3 - 26*u**2 + 48*u - 171. Factor x(n).
4*(n - 12)*(n - 1)
Let a(l) be the first derivative of 0*l - 16/3*l**3 - 8*l**2 - 13 - l**4. Find x, given that a(x) = 0.
-2, 0
Let m(j) = 2*j**4 - 60*j**3 + 975*j**2 - 701*j - 1764. Let z(i) = i**4 - 31*i**3 + 487*i**2 - 351*i - 882. Let v(o) = -6*m(o) + 13*z(o). What is h in v(h) = 0?
-1, 2, 21
Factor -2/9*j**2 + 0 - 4*j.
-2*j*(j + 18)/9
Let c(o) be the first derivative of o**5/5 + 14*o**4 - 115*o**3/3 + 29*o**2 - 40. Factor c(x).
x*(x - 1)**2*(x + 58)
Let d be 3/(-5 + 32/6). Let a(y) be the first derivative of -d - 1/6*y + 1/6*y**2 - 1/18*y**3. Factor a(z).
-(z - 1)**2/6
Let k(o) = -6*o - 7. Let x be k(-2). Suppose -x*b - 2*m + 14 = 0, 2*m = 2*b - 0*b. Factor -3*u**5 + 4*u**b + 3*u**5 - 2*u - 2*u**5 + 4*u**3 - 2*u**4 - 2.
-2*(u - 1)**2*(u + 1)**3
Let l(s) be the third derivative of -s**7/1050 - 13*s**6/600 - 11*s**5/100 - 31*s**4/120 - s**3/3 + 22*s**2. Determine c, given that l(c) = 0.
-10, -1
Let c(t) = t**3 - 10*t**2 + 334*t + 87. Let g(p) = -8*p**3 + 50*p**2 - 1670*p - 436. Let w(a) = 16*c(a) + 3*g(a). Factor w(j).
-2*(j - 6)*(j + 7)*(4*j + 1)
Solve -3/4*d**4 - 51/4*d**3 + 0*d - 105/2*d**2 + 0 = 0 for d.
-10, -7, 0
Suppose 0 = -5*n + 5*j - 15, 0 = -2*n + 36*j - 38*j + 14. Find y, given that -45*y - 35/2*y**3 + 5 + 465/4*y**n - 735/4*y**4 = 0.
-1, 2/7, 1/3
Let t(n) = 3*n**4 + 25*n**3 - 93*n**2 + 5*n. Let l(k) = 4*k**4 + 38*k**3 - 139*k**2 + 7*k. Let r(w) = 5*l(w) - 7*t(w). Determine d, given that r(d) = 0.
0, 4, 11
Let m(w) be the third derivative of w**6/300 + 4*w**5/75 - 61*w**4/60 + 52*w**3/15 + 31*w**2 + 2*w. Factor m(l).
2*(l - 4)*(l - 1)*(l + 13)/5
Suppose 3*w - 2*k = 20 - 6, 0 = 4*w - 4*k - 20. Suppose 0 = -2*i + 6, i = 4*h - 3*i + w. Factor 1/3*a**h + 0 - 2/3*a + 1/3*a**3.
a*(a - 1)*(a + 2)/3
Solve 44/5*f**2 + 10*f**4 + 8/5*f**5 - 1/5*f + 83/5*f**3 - 4/5 = 0.
-4, -1, -1/2, 1/4
Let t = -8649 - -8651. Factor -96/7*j - 2/7*j**3 + 128/7 + 24/7*j**t.
-2*(j - 4)**3/7
Suppose 39/8*b - 33/4 - 3/8*b**2 = 0. What is b?
2, 11
Let d(l) = -l**2 + 4. Suppose -4*h - 4 = 5*c, -4*c - h = -7*c + 1. Let x be d(c). Factor -2 - x*i**2 - 4*i**3 + 3 - 1.
-4*i**2*(i + 1)
Factor -1337*s**3 + 1337*s**3 - 5*s**2 + 5*s**4.
5*s**2*(s - 1)*(s + 1)
Let y(w) = w**2 - w + 10. Let p be y(0). Solve -2*i**3 + 7*i**3 - 30*i - 24*i + 39*i + p = 0 for i.
-2, 1
Let t(d) be the second derivative of -d**6/105 + d**5/10 - 5*d**4/42 - d**3/3 + 6*d**2/7 - 8*d - 3. Determine j so that t(j) = 0.
-1, 1, 6
Let m(c) = c**4 + 33*c**3 + 9*c**2 - 18*c + 10. Let w(k) = -4*k**4 - 100*k**3 - 28*k**2 + 52*k - 32. Let n(i) = -16*m(i) - 5*w(i). Factor n(o).
4*o*(o - 7)*(o - 1)*(o + 1)
Find o, given that 640*o + 215 - 4*o**3 + 4067*o**2 - 11*o**3 + 5*o**3 - 3652*o**2 = 0.
-1, -1/2, 43
Let i be (16/(-256))/(3/(-18)). Determine g so that -1/2*g - i - 1/8*g**2 = 0.
-3, -1
Let j(i) be the first derivative of -9/2*i**4 + 12/5*i**5 + 2 - 3/2*i**2 - 1/2*i**6 + 4*i**3 + 0*i. Factor j(w).
-3*w*(w - 1)**4
Let f(q) be the second derivative of -1/2*q**3 + 7/4*q**4 - 39*q + 0 + 0*q**2. Find b such that f(b) = 0.
0, 1/7
Let j(m) be the first derivative of 2*m**3/15 - 38*m**2/5 + 722*m/5 + 62. Factor j(y).
2*(y - 19)**2/5
Solve 0 - 24/17*x**3 - 100/17*x - 2/17*x**4 - 90/17*x**2 = 0.
-5, -2, 0
Let o be 35/(-560) + 193/16 - 10. Solve 3/2*g**o + 1/2*g**4 + 0*g + 0 - 2*g**3 = 0 for g.
0, 1, 3
Factor 178172 + 0*g**3 + 2*g**3 - 25392*g + 211172 + 552*g**2 - 6*g**3.
-4*(g - 46)**3
What is h in -5/3*h**2 - 1/6*h**5 + 1/2*h**3 + 0 + 2/3*h**4 - 4/3*h = 0?
-1, 0, 2, 4
Let u(l) be the second derivative of 845*l**7/42 + 481*l**6/3 + 430*l**5 + 940*l**4/3 - 920*l**3/3 + 80*l**2 + 70*l - 1. Let u(v) = 0. Calculate v.
-2, 2/13
Let a(r) be the third derivative of 1/6*r**3 - 6*r**2 + 1/360*r**6 - 1/6*r**4 + 0*r + 0 - 1/40*r**5. Let o(b) be the first derivative of a(b). Solve o(g) = 0.
-1, 4
Let w = -2100 + 2102. Factor -12/5*x**w - 12/5*x - 3/5*x**3 + 0.
-3*x*(x + 2)**2/5
Suppose -10 = -4*c - l, -5*c - 4 = -3*c + 5*l. Let 20/3 + 10/3*r + 5/2*r**c - 25/3*r**2 = 0. What is r?
-2/3, 2
Determine u, given that 0 + 2/13*u**3 - 4/13*u - 2/13*u**2 = 0.
-1, 0, 2
Let q = 4294/3 - 1431. Let r(x) be the first derivative of 7/12*x**2 + q*x + 7 + 5/18*x**3. Factor r(b).
(b + 1)*(5*b + 2)/6
What is v in -2/5*v**5 - 26/5*v**4 - 18 - 124/5*v**3 - 258/5*v -