
4*b*(b - 1)**3*(b + 1)/3
Let 2*s**2 + 79 + 22*s + 2*s**3 - 31 + 54*s + 28*s**2 = 0. Calculate s.
-12, -2, -1
Let w(f) be the second derivative of -f**5/420 - f**4/84 - f**3/42 - f**2/2 + 6*f. Let r(j) be the first derivative of w(j). Factor r(n).
-(n + 1)**2/7
Let y be (-9)/9 + (-200)/(-9). Let f = -21 + y. What is q in 0*q**2 + 2/9*q**3 - f*q + 0 = 0?
-1, 0, 1
Let c(q) be the third derivative of q**7/1260 + 13*q**6/720 + q**5/36 - q**4/6 - 2*q**2 - 47. Factor c(f).
f*(f - 1)*(f + 2)*(f + 12)/6
Suppose -5 + 2*x - 5*x**2 + 2 + 7*x**2 - x**2 = 0. What is x?
-3, 1
Let m be ((-16)/(-40))/((-1)/(-5)). Factor 4*s**m + 10*s**4 + 5*s**3 + 11*s**3 - 3*s**4.
s**2*(s + 2)*(7*s + 2)
Let l(d) = d**3 + d**2 + 5*d + 14. Let g be l(-2). Let z be (2/(-13))/(g - 5/25). Find r, given that -8/13*r**4 + z*r**3 - 4/13*r**2 + 0*r + 0 + 2/13*r**5 = 0.
0, 1, 2
Suppose 0 = -8*c + 75 - 19. Factor -c*t**4 + 6*t - 6*t**3 + t**4 + 3*t**4 + 3*t**2.
-3*t*(t - 1)*(t + 1)*(t + 2)
Let q = 45 - 42. Solve 3*v**q - 9*v**2 + 6 - v - 2*v + 3*v**2 = 0.
-1, 1, 2
Let w(d) be the second derivative of d**6/6 - 3*d**5/4 + 10*d**3/3 + d - 6. Factor w(x).
5*x*(x - 2)**2*(x + 1)
Suppose 21*f - 26*f + 10 = 0. Let -h**f + 5*h**2 - h + 1 - 9 - 3*h = 0. What is h?
-1, 2
Let f(t) be the first derivative of t**5 + 55*t**4/4 + 45*t**3 + 125*t**2/2 + 40*t + 2. Factor f(y).
5*(y + 1)**3*(y + 8)
Let y(r) be the third derivative of -r**5/30 + 25*r**4/24 - 2*r**3 - 63*r**2. Factor y(s).
-(s - 12)*(2*s - 1)
Suppose -2*d + w + 130 = 5*w, -4*d = 2*w - 290. Let 77*g + 3*g**2 - 2*g**4 - 2*g**3 - d*g - g**2 = 0. What is g?
-1, 0, 1
Let g(d) be the first derivative of d**4/8 - d**3/4 + 23*d + 13. Let x(j) be the first derivative of g(j). Factor x(k).
3*k*(k - 1)/2
Let x be 82/(-492)*(4182/(-63) + (-4)/14). Let -280/9*m**4 - 112/9*m**2 + 92/3*m**3 + 0 + x*m**5 + 16/9*m = 0. What is m?
0, 2/5, 1
Determine f, given that -41*f**5 - 41*f**5 - 1682*f**3 - 37*f**5 - 116*f**4 + 117*f**5 = 0.
-29, 0
Let f(s) be the second derivative of -1/273*s**7 - 1/39*s**3 + 0 + 4/195*s**6 + 0*s**2 + 2/39*s**4 + 5*s - 3/65*s**5. Find w such that f(w) = 0.
0, 1
Suppose 4*l - 2*q - 21 + 13 = 0, 0 = 4*l + 4*q - 32. Let -4*w**4 + 14*w**l - 5*w**3 - 6*w**5 + w**5 = 0. What is w?
0, 1
Factor 2/13*m**2 - 360/13*m + 16200/13.
2*(m - 90)**2/13
Suppose 3*f - i = 8 - 2, -2*i = 0. Let a be (-36)/(-72) + (-10)/(-6) + -2. Factor -2/3*w - 5/6*w**f + a.
-(w + 1)*(5*w - 1)/6
Let n(l) = 39*l**3 + 370*l**2 + 757*l + 150. Let k(w) = -153*w**3 - 1480*w**2 - 3029*w - 600. Let g(f) = 2*k(f) + 9*n(f). Factor g(a).
5*(a + 3)*(a + 5)*(9*a + 2)
Let n = -21593 - -107968/5. Find r, given that 0 + n*r - 1/5*r**2 = 0.
0, 3
Let g be (13/(-52))/(-2 - (-23)/12). Factor 2*t**2 - 16*t - 17 - 3*t**3 - 7 + 5*t**g.
2*(t - 3)*(t + 2)**2
Let v(w) be the first derivative of 2*w**5/55 + 7*w**4/22 + 12*w**3/11 + 20*w**2/11 + 16*w/11 - 113. Suppose v(o) = 0. What is o?
-2, -1
Let g(p) be the second derivative of 0*p**2 - 2/5*p**5 - 2/3*p**3 + 0 + 1/15*p**6 - 6*p + 5/6*p**4. Factor g(l).
2*l*(l - 2)*(l - 1)**2
Let a(d) = -2*d**3 - 2*d**2 + 11*d + 14. Let m be a(9). Let u = 10579/7 + m. Factor 2/7*w**2 + 0 - 2*w**3 - 18/7*w**5 + 0*w + u*w**4.
-2*w**2*(w - 1)*(3*w - 1)**2/7
Let f(x) be the third derivative of 1/2*x**4 + 0 + 4*x**2 + 8/3*x**3 - 7/15*x**5 + 0*x. Factor f(q).
-4*(q - 1)*(7*q + 4)
Let p(k) be the first derivative of k**5/15 - 8*k**3/9 - k + 17. Let l(u) be the first derivative of p(u). Factor l(a).
4*a*(a - 2)*(a + 2)/3
Let x(f) = -4*f**4 - 28*f**3 - 46*f**2 - 4*f. Let y(n) = -21*n**4 - 140*n**3 - 229*n**2 - 22*n. Let t(h) = 22*x(h) - 4*y(h). Factor t(o).
-4*o**2*(o + 2)*(o + 12)
Let s(w) be the third derivative of 0*w - 1/525*w**7 + 1/45*w**3 - 2*w**2 + 1/225*w**5 + 1/2520*w**8 + 0 - 1/60*w**4 + 1/450*w**6. Factor s(t).
2*(t - 1)**4*(t + 1)/15
Let d be (((-66)/12)/11)/(2/24). Let c(a) = -a**3 - 5*a**2 + 7*a + 6. Let n be c(d). Factor -1/3*w + n + 1/3*w**2.
w*(w - 1)/3
Let m = -355/7 + 1177/21. Factor -80/3*w**2 + 44*w**3 + 16/3*w**5 + 0 - 80/3*w**4 + m*w.
4*w*(w - 2)**2*(2*w - 1)**2/3
Let v(q) be the third derivative of -7*q**5/20 + q**4/16 + 3*q**2 + 53. Factor v(n).
-3*n*(14*n - 1)/2
Let x = 30683/76695 + -1/15339. Find l such that 0*l + 0 + 4/5*l**2 - x*l**3 - 2/5*l**4 = 0.
-2, 0, 1
Let r(d) be the first derivative of 1/10*d**2 + 1/5*d - 1/20*d**4 + 4 - 1/15*d**3. Factor r(j).
-(j - 1)*(j + 1)**2/5
Let h = 5781/20 + -289. Let g(f) be the third derivative of 0 - 1/8*f**4 + f**2 + 0*f**3 + 0*f - h*f**5. Factor g(s).
-3*s*(s + 1)
Suppose -11*x + 72 = 6. Let 6 + 3*f - 9*f**2 + 3*f**2 + x*f**2 - 3*f**2 = 0. Calculate f.
-1, 2
Factor 196 - 2*o**4 - 66*o**2 + 0*o + 20*o + 134*o - 26*o**3.
-2*(o - 2)*(o + 1)*(o + 7)**2
Suppose 6*y = 3*z + 5 + 1, y - 6 = -2*z. Factor -2/3*b**y - 32/3 - 2/3*b**4 - 4*b**3 + 16*b.
-2*(b - 1)**2*(b + 4)**2/3
Let x(g) be the first derivative of -18 + 3/11*g**2 - 2/33*g**3 + 20/11*g. Factor x(n).
-2*(n - 5)*(n + 2)/11
Suppose -n = -0*a + 5*a + 8, n - 12 = 5*a. Factor -w**2 + 3 - 5*w - 6*w**2 + w**n + 2*w.
-3*(w + 1)*(2*w - 1)
Suppose 71*y - 60 = 61*y. Let o(f) be the third derivative of -y*f**2 - 1/105*f**5 + 1/28*f**4 + 0*f + 0 + 0*f**3 - 1/420*f**6. Factor o(c).
-2*c*(c - 1)*(c + 3)/7
Let t be 1/1 - -1 - -2. Suppose -t*p - 79*p**5 + 3*p**2 + 52*p**3 + p**2 - 4*p**4 + 31*p**5 = 0. Calculate p.
-1, -1/3, 0, 1/4, 1
Suppose -139 - 303 = 2*s. Let k = 223 + s. Factor -1/3*z**3 + 1/3*z + 0 + 0*z**k.
-z*(z - 1)*(z + 1)/3
Let 2312*u**3 - 392 - 3760*u**2 + 28*u**5 - 462*u**4 + 49*u + 6*u**4 + 2219*u = 0. Calculate u.
2/7, 1, 7
Suppose -3*i = -2*i - 2. Find n, given that 2*n**i - n**3 + 3*n + 1724 - 1724 = 0.
-1, 0, 3
Let k(f) be the third derivative of -13*f**2 - 1/100*f**5 - 1/60*f**4 + 0*f - 1/600*f**6 + 0 + 0*f**3. Factor k(m).
-m*(m + 1)*(m + 2)/5
Let z(m) be the third derivative of -2*m**7/105 - m**6/5 - 3*m**5/5 - 80*m**2. Factor z(w).
-4*w**2*(w + 3)**2
Let w = 556/3 + -185. Let d(o) be the first derivative of 1/24*o**6 + w*o**3 - 1 + 1/8*o**2 + 3/8*o**4 + 1/5*o**5 + 0*o. Determine u so that d(u) = 0.
-1, 0
Let h(i) = -i**5 + 40*i**4 + 50*i**3 - 9*i - 9. Let u(p) = p**5 - 20*p**4 - 25*p**3 + 4*p + 4. Let s(n) = 4*h(n) + 9*u(n). Solve s(x) = 0.
-1, 0, 5
Suppose -a = -3*t + 24, 82*a = 86*a + 2*t - 16. Factor 3/5*b**4 + 3/5*b**3 + 0*b**2 + a*b + 0.
3*b**3*(b + 1)/5
Let s be (0/(-280))/(-1 - -4). Let 1 - 1/2*q**3 + 3/2*q + s*q**2 = 0. Calculate q.
-1, 2
Let q(l) be the first derivative of -l**7/630 - 7*l**3/3 + 11. Let x(s) be the third derivative of q(s). Solve x(r) = 0 for r.
0
Let x(l) be the first derivative of -3*l**5/10 - 33*l**4/8 - 35*l**3/2 - 75*l**2/4 - 82. Factor x(m).
-3*m*(m + 1)*(m + 5)**2/2
Suppose -3*z = -6*z + 15. Find p, given that -2*p**2 - 2*p - 5*p**z + 49*p**4 - p**2 - 46*p**4 + 7*p**3 = 0.
-1, -2/5, 0, 1
Let q(d) be the third derivative of -d**5/120 - 5*d**4/2 - 300*d**3 + 120*d**2. Factor q(v).
-(v + 60)**2/2
Let m(a) be the third derivative of -5/6*a**5 - 3/8*a**6 + 0*a**3 + 2*a**2 + 1/42*a**7 + 0*a**4 + 0 - 13*a. Let m(l) = 0. Calculate l.
-1, 0, 10
Find l such that -l**3 - 1632*l**2 + 3337*l - 8192 - 2*l**4 - 6506*l - 6559*l - 97*l**3 = 0.
-16, -1
Suppose -3/4*w**4 + 144 + 60*w - 27/4*w**3 - 9*w**2 = 0. What is w?
-4, 3
Let v(i) be the second derivative of -i**5/140 - 11*i**4/21 - 85*i**3/42 - 3*i**2 + i + 6. Solve v(x) = 0.
-42, -1
Let p(v) be the first derivative of -v**4/36 - v**3/9 + v**2/2 + 6*v + 10. Let z(d) be the first derivative of p(d). Factor z(s).
-(s - 1)*(s + 3)/3
Factor -30*q**2 + 11*q - 36*q - 7*q**3 - 11*q - 8.
-(q + 2)**2*(7*q + 2)
Let w be (-1)/(-11) - (-721)/4532. Factor w*z**2 - 3/2*z + 0.
z*(z - 6)/4
Factor -102*v**5 - 18*v**3 - 11*v**4 - 4*v**2 + 6*v + 2*v + 100*v**5.
-v*(v + 2)**3*(2*v - 1)
Let s(t) be the third derivative of t**5/60 + t**4/8 - 21*t**2 - 1. Determine p so that s(p) = 0.
-3, 0
Let j(g) be the first derivative of 3*g**5/20 - 3*g**4/8 - 3*g**3 - 21*g**2/4 - 15*g/4 + 10. Factor j(k).
3*(k - 5)*(k + 1)**3/4
Let g be 106/(-2) - (-18 - -19). Let q = g + 433/8. Determine x, given that -2 - q*x**2 + x = 0.
4
Let n be (1 + 3/(-5))/((-2)/20). Let i be -1 - 1*n/(56/62). Factor 36/7*u**2 + 0 + 4/7*u**4 - i*u**3 + 0*u.
4*u**2*(u - 3)**2/7
Let d(a) be the first derivative of a**4 - 416*a**3