6 + 50. Let l(x) = 49*x**3 - 87*x**2 + 23*x - 9. Let m(p) = 24*p**3 - 44*p**2 + 12*p - 4. Let o(h) = d*l(h) - 9*m(h). Suppose o(i) = 0. Calculate i.
0, 2/5, 2
Factor 1/2*x**5 - 28*x**3 + 1/2*x**4 + 0 + 72*x**2 + 0*x.
x**2*(x - 4)**2*(x + 9)/2
Let l(g) be the third derivative of g**5/120 + g**4/6 + 7*g**3/12 - 2*g**2. Factor l(y).
(y + 1)*(y + 7)/2
Let s = 167/355 + -5/71. Let v(j) be the first derivative of 1/15*j**3 - 3 - s*j**2 + 3/5*j. Solve v(u) = 0 for u.
1, 3
Let j(i) = 4 - 8*i - i**2 + i**2 + i**2. Let c be j(8). Factor 7*q**2 - 15*q**3 - 5*q**2 - 3*q**5 + 4*q**2 + 12*q**c.
-3*q**2*(q - 2)*(q - 1)**2
Let c = 1434 - 200759/140. Let k(o) be the second derivative of c*o**5 - 2/7*o**2 + 0 + o + 1/84*o**4 - 2/21*o**3. Let k(q) = 0. What is q?
-2, -1, 2
Factor -36*g**2 + 1 - 19 - 71*g - 6 - 45*g.
-4*(g + 3)*(9*g + 2)
Let y(c) = c**4 - c**3 - c**2 + 2*c. Let x(o) = 75*o**3 + 651*o**2 + 2586*o + 3888. Let a(m) = -x(m) - 3*y(m). Let a(j) = 0. What is j?
-6
Let o(j) be the first derivative of -1/6*j**4 + j**2 + 0*j**3 - 1/10*j**5 + 0*j + 9 - 1/60*j**6. Let z(d) be the second derivative of o(d). Factor z(v).
-2*v*(v + 1)*(v + 2)
Let f(d) be the first derivative of d**5/66 - 2*d**4/33 - 4*d**3/33 + 15*d**2/2 + 16. Let v(n) be the second derivative of f(n). Factor v(g).
2*(g - 2)*(5*g + 2)/11
Let k(h) be the third derivative of 1/30*h**5 + 8*h**2 - 1/12*h**4 + 0 + 0*h**3 + 0*h. Factor k(c).
2*c*(c - 1)
Let k(m) = 2*m**3 + 17*m**2 + 48*m + 28. Let l(n) = -8*n**3 - 68*n**2 - 191*n - 114. Let y(b) = -15*k(b) - 4*l(b). Factor y(g).
(g + 2)**2*(2*g + 9)
Let t(a) be the third derivative of -a**6/960 + 3*a**5/40 - 9*a**4/4 + 36*a**3 - 53*a**2. Factor t(z).
-(z - 12)**3/8
Let s = 437 - 432. Let n(h) be the first derivative of -6*h - 2/3*h**3 + s*h**2 - 1/2*h**4 + 2. Factor n(x).
-2*(x - 1)**2*(x + 3)
Let j(d) be the first derivative of 4*d**5 + 65*d**4/4 - 65*d**3/3 - 10*d**2 - 134. Factor j(g).
5*g*(g - 1)*(g + 4)*(4*g + 1)
Let i(h) be the third derivative of -h**11/748440 - h**10/340200 + h**9/68040 + h**5/12 + 15*h**2. Let p(a) be the third derivative of i(a). Factor p(s).
-4*s**3*(s - 1)*(s + 2)/9
Let h be 16/12*3/(0 + 1). Let -48*z**2 + 11*z**3 - 16*z**4 + 12*z**h - 40*z - 12 - 35*z**3 = 0. What is z?
-3, -1
Let o(m) = 5*m**2 - 2*m - 7. Let h(n) = -10*n**2 + 4*n + 13. Let l(r) = -4*h(r) - 9*o(r). Let t(u) = 6*u**2 - u - 12. Let w(j) = -5*l(j) - 4*t(j). Factor w(i).
(i - 7)*(i + 1)
Suppose 0 = -6*w - 28 + 4. Let i be (-1)/1 - w/(-18)*-6. Suppose 1/3*m**2 - 1/3*m**3 - 1/3 + i*m = 0. Calculate m.
-1, 1
Let g = -34 - -36. Let j(r) = -r**3 - 6*r**2 + 6*r - 4. Let d be j(-7). Factor 0*q**4 - 3*q + 6*q**3 - d*q**2 + 5 - 2 - 3*q**g + 3*q**4 - 3*q**5.
-3*(q - 1)**3*(q + 1)**2
Let s(f) be the second derivative of -25*f**7/21 - 10*f**6/3 - 31*f**5/10 - f**4 + 67*f. Find b such that s(b) = 0.
-1, -3/5, -2/5, 0
Let r(p) be the first derivative of 3*p**5/5 - 15*p**4/2 + 33*p**3 - 60*p**2 + 48*p + 142. Factor r(y).
3*(y - 4)**2*(y - 1)**2
Let g(z) = z**3 + 78*z**2 + 2022*z + 17582. Let p(u) = -2*u**3 - 156*u**2 - 4043*u - 35165. Let h(k) = -13*g(k) - 6*p(k). Find a, given that h(a) = 0.
-26
Let k be ((-24)/20)/((-2)/(-5)). Let h = k - -8. Let 3*t**3 - 2*t**h + 0*t**5 - 5*t**3 + 4*t**5 = 0. What is t?
-1, 0, 1
Let h(d) be the first derivative of 11 + 2*d**6 - 9/4*d**4 - 5*d**3 + 3*d**5 + 0*d - 3/2*d**2. Suppose h(v) = 0. Calculate v.
-1, -1/4, 0, 1
Let p(g) = 2*g**2 + 42*g + 88. Let x(d) = -d + 1. Let n(y) = p(y) - 4*x(y). Factor n(t).
2*(t + 2)*(t + 21)
Let h(l) = 32*l**4 + 54*l**3 + 2*l**2 - 12*l + 8. Let o(i) = 3*i - 6. Let j be o(-2). Let a(n) = n**3 + 1. Let z(s) = j*a(s) + 2*h(s). Factor z(q).
4*(q + 1)**2*(4*q - 1)**2
Let p(d) = 9*d**4 + 34*d**3 + 441*d**2 + 1312*d - 1796. Let l(c) = 11*c**4 + 33*c**3 + 441*c**2 + 1312*c - 1797. Let j(x) = 4*l(x) - 5*p(x). Solve j(m) = 0.
-16, -7, 1
Let q(b) be the first derivative of -b**5/4 - 55*b**4/12 - 25*b**3/3 - 27*b + 19. Let j(n) be the first derivative of q(n). Suppose j(r) = 0. Calculate r.
-10, -1, 0
Let q(c) = -8*c**2 - 56*c + 12. Let l(y) = y**2 + y - 1. Let m(g) = 12*l(g) + q(g). Factor m(r).
4*r*(r - 11)
Let k be 4/(-8) + 18783/30. Let x = k - 622. Factor x - 12/5*c + 2/5*c**2.
2*(c - 3)**2/5
Let g(a) be the second derivative of 2/3*a**3 + 0 + 21*a - a**2 - 1/6*a**4. What is f in g(f) = 0?
1
Let z(n) be the first derivative of -2/3*n**3 - 1/6*n**4 - 12*n + 0*n**2 - 11. Let x(i) be the first derivative of z(i). Let x(y) = 0. Calculate y.
-2, 0
Let m(q) be the second derivative of 2*q**6/15 - 188*q**5/5 + 2882*q**4 + 35720*q**3/3 + 18050*q**2 - 277*q. Determine p so that m(p) = 0.
-1, 95
Let j(k) = 24*k**2 - 5*k + 7. Let u be j(-8). Factor 1583*r - 1 - 2*r**2 - u*r + 3.
-2*(r - 1)*(r + 1)
Suppose 0 = -13*q + 255 + 135. Determine j so that 14*j**5 + q*j**4 - 10*j**2 - 10*j**4 - 25*j**3 + j**5 + 0*j**3 = 0.
-2, -1/3, 0, 1
Let l(g) = g**2 + 3*g + 2. Let m be l(-4). Factor -4 - 4*n + n**3 + n**2 + 12*n - m*n**2.
(n - 2)**2*(n - 1)
Let p = -4 - 281. Let v be (-303)/p - 3/(-15). Factor -128/19 - v*g**2 + 96/19*g + 2/19*g**3.
2*(g - 4)**3/19
Let v(q) = -q**2 - 6*q + 1. Let p(k) = k**2 + 6*k. Let z(r) = 2*p(r) + 3*v(r). Let s be z(-4). Factor -13 + 40 + 3*t**2 - s*t - 7*t.
3*(t - 3)**2
Let n be (3 + 0)/(1/17). Let m = 261/5 - n. Factor -m*a**2 + 0 + 4/5*a + 2/5*a**3.
2*a*(a - 2)*(a - 1)/5
Factor 1/4*i**2 + 0 + 2*i.
i*(i + 8)/4
Factor -33*s**2 + 63/2*s + 3/2*s**3 + 0.
3*s*(s - 21)*(s - 1)/2
Let a = -34365 + 34367. Factor b**a + 4/3 + 7/3*b.
(b + 1)*(3*b + 4)/3
Let q = -15 + 18. Let d be q - 2/(-4)*62. Factor -16 + n**3 + 2*n + 0*n**2 - 5*n**3 - 20*n**2 - d*n.
-4*(n + 1)*(n + 2)**2
Suppose m = 14*j - 42, 5*m + 7*j - 9*j + 6 = 0. Determine h so that m*h + 0 + 2*h**2 + 2/7*h**3 = 0.
-7, 0
Suppose -700 = 2*m - 6*m. Let u be ((-63)/m)/(12/(-20)). What is g in -3/5*g**2 - u*g - 1/5*g**3 - 1/5 = 0?
-1
Let w be (2 + -1)*(4 + -10). Let o(i) = i**3 + i**2 - i - 1. Let l(f) = -3*f**3 - 33*f**2 + 78*f - 42. Let v(r) = w*o(r) - l(r). Factor v(z).
-3*(z - 4)**2*(z - 1)
Let x = -124 - -126. Solve -5*g**3 + 835 - 3*g**3 - 8*g**x - 839 + 14*g = 0 for g.
-2, 1/2
Let l(n) be the second derivative of -n**6/75 + 7*n**5/50 - n**4/2 + 13*n**3/15 - 4*n**2/5 - 2*n + 14. What is r in l(r) = 0?
1, 4
Let f be (-4544)/(-30) - 2*(-3)/15. Let d = 152 - f. Solve 0 - 4/15*t**4 + 2/15*t + 4/15*t**2 + 0*t**3 - d*t**5 = 0.
-1, 0, 1
Let u(d) be the second derivative of 2*d**7/21 + 8*d**6/15 - 9*d**5/5 - 32*d**4/3 + 56*d**3/3 + 96*d**2 - 97*d. Suppose u(y) = 0. What is y?
-4, -3, -1, 2
Let a(f) be the first derivative of -2/15*f + 11 + 0*f**2 + 2/45*f**3. Factor a(j).
2*(j - 1)*(j + 1)/15
Suppose -3*z - 3*t - 3 = 0, -4*t + 0*t - 31 = -5*z. Factor d**2 - 5*d**z - 25*d**5 - d**2 + 24*d**4 + 6*d**4.
-5*d**3*(d - 1)*(5*d - 1)
Let r(z) be the first derivative of 3*z**5/10 + 3*z**4/8 - 5*z**3/2 + 9*z**2/4 + 175. Let r(x) = 0. What is x?
-3, 0, 1
Determine k so that 2/3*k**4 + 54 + 36*k**2 + 72*k + 8*k**3 = 0.
-3
Let b(q) be the second derivative of q**4/24 + 5*q**3/6 + 9*q**2/4 - 37*q. Find z, given that b(z) = 0.
-9, -1
Let p(h) be the first derivative of -2*h**3/15 - 11*h**2/5 - 12*h - 49. Factor p(q).
-2*(q + 5)*(q + 6)/5
Let g(w) be the second derivative of w**7/63 - 2*w**6/45 + w**4/9 - w**3/9 + 113*w. Find x, given that g(x) = 0.
-1, 0, 1
Let v = 3797/5 + -759. Solve -v*n**2 - 8/5*n - 8/5 = 0.
-2
Let l(d) be the third derivative of d**6/195 + d**5/26 - 2*d**4/13 + 5*d**3/39 - 149*d**2. Factor l(g).
2*(g - 1)*(g + 5)*(4*g - 1)/13
Let f(z) = 4*z + 43. Let m be f(-9). Factor m*r - 3*r + 7*r**2 - 2*r**2 + 10 + 11*r.
5*(r + 1)*(r + 2)
Let h(j) = j**2 + j - 8. Suppose 0 = 4*r - 12 + 28. Let y be h(r). What is f in 6/5*f**2 + 4/5*f**3 + 1/5 + 1/5*f**y + 4/5*f = 0?
-1
Suppose -43/7*j + 41/7*j**2 + 2/7 = 0. What is j?
2/41, 1
Factor 0 + 1/4*c**2 - 7/2*c.
c*(c - 14)/4
Let i = 31 + -16. Determine r, given that 7*r**2 + i*r**4 - 34*r**5 - 2*r**2 + 29*r**5 - 15*r**3 = 0.
0, 1
Let i(b) = 2*b**2 + 48*b + 6. Let x be i(-24). Suppose 7*g**2 - 3*g**2 + 2 - 2*g**2 - x*g + 2*g = 0. What is g?
1
Let g(m) be the first derivative of 1/17*m**2 - 4/17*m + 20 + 2/51*m**3. Suppose g(v) = 0. Calculate v.
-2, 1
Let v be 60/(-18)*((-48)/(-15))/(-8). Suppose -v*p**3 - 1/3*p**4 + 0*p + 