e of -9317*l**6/6 - 15367*l**5/4 - 15675*l**4/4 - 12625*l**3/6 - 625*l**2 - 159*l. Factor w(z).
-5*(7*z + 2)*(11*z + 5)**3
Let t be (44/(-88))/(2/(-36)). Let m(b) = -b**2 + 4*b. Let r be m(3). Determine s, given that -t*s**5 - 3*s**3 + 0*s**r - 9*s**5 + 21*s**5 = 0.
-1, 0, 1
Suppose -26*s = -25*s - 2. Let n be ((-8)/20)/((6/(-15))/s). Let -2/11*d**n + 0 + 0*d - 6/11*d**4 - 2/11*d**5 - 6/11*d**3 = 0. Calculate d.
-1, 0
Let r(d) be the first derivative of d**6/6 + 3*d**5/4 - 10*d**3/3 - 12*d + 19. Let t(k) be the first derivative of r(k). Find a, given that t(a) = 0.
-2, 0, 1
Let t(d) be the second derivative of d**4/108 - 19*d**3/54 + 8*d**2/3 + 307*d. What is f in t(f) = 0?
3, 16
Let m(b) be the second derivative of -b**8/1960 + b**7/588 - b**6/630 + 20*b**3/3 + 4*b. Let x(q) be the second derivative of m(q). Find i such that x(i) = 0.
0, 2/3, 1
Let u(k) = k**3 - 5*k**2. Let c = -10 - -15. Let v be u(c). Solve -4 + v - 8*x - 4 - 2*x**2 = 0 for x.
-2
Let u = 16076 + -16072. Factor -3*k**u + 0 - 5*k**3 - 2/3*k**5 - k - 11/3*k**2.
-k*(k + 1)**3*(2*k + 3)/3
Let u = 28 + -29. Let l be (0 - u)*(-1)/(12/(-4)). Factor 1/3*o**4 + 1/3*o**5 + 1/3*o - 2/3*o**2 - 2/3*o**3 + l.
(o - 1)**2*(o + 1)**3/3
Determine w, given that -3*w + 1/2*w**3 - 1/2*w**2 + 0 = 0.
-2, 0, 3
Let a be (-9 + (-728)/(-80))*(16 - -2). Determine g so that 3/5*g**3 + 3/5 + 9/5*g + a*g**2 = 0.
-1
Suppose -2*y - 1 = 2*y - 3*x, 4*y = 5*x - 7. Solve 14*q + 35 + 4*q**2 - 11 + 2*q - 2*q**y = 0 for q.
-6, -2
Suppose 5*d = 10 - 0. Let i(q) = q**3 - q**2 - 2*q + 3. Let h be i(d). Factor -j**h + 3*j - 1 + j**2 + j - 3*j.
-(j - 1)**2*(j + 1)
Let g be 0*(-81)/270*(-5)/3. Let f(h) be the second derivative of -1/40*h**5 + 1/12*h**3 + 0*h**4 + 1/8*h**2 - 6*h + g - 1/120*h**6. Find b such that f(b) = 0.
-1, 1
Let q be 2/(-4) + 9/2. Suppose 5*j + 0 = -4*t - 7, 2*j - 2 = -q*t. Suppose 4*m**2 - 2*m**t + 3*m**2 - 3*m**2 = 0. Calculate m.
0
Suppose 2*j = 12 - 10. Let i be (0 - -2 - j)*36/54. Suppose 0*a + i*a**3 + 0 - 7/3*a**4 + 0*a**2 = 0. What is a?
0, 2/7
Suppose 2*i - 4 = 0, 2*v + 12 = 2*i - 5*i. Let a be (-8)/(-32)*(-8)/v. Suppose 2/9*l - a*l**3 - 2/9*l**2 + 2/9*l**4 + 0 = 0. Calculate l.
-1, 0, 1
Let z(t) be the third derivative of 11*t**5/30 - 115*t**4/12 - 22*t**3 + 45*t**2. Factor z(q).
2*(q - 11)*(11*q + 6)
Let a be -4 - (-44)/10 - 7/5. Let d be (-2)/(-18)*(10 + -3 + a). Find o, given that -o**2 - 1/3*o**3 + d*o**4 + 1/3 + 1/3*o = 0.
-1, -1/2, 1
Let i(l) be the first derivative of 2*l**5/65 - l**4/13 + 2*l**3/39 - 58. Factor i(t).
2*t**2*(t - 1)**2/13
Let w = -1127 - -1129. Factor 24/7*i**3 + 2*i**4 - 4/7*i + 6/7*i**w + 0.
2*i*(i + 1)**2*(7*i - 2)/7
Suppose 2*c = -4*q + 406, -2*c + 207 = 2*q + 5. Let n be (1 + 8/(-9))/(34/q). Let -n*k + 1/6*k**4 + 1/3*k**3 + 0*k**2 - 1/6 = 0. What is k?
-1, 1
Let y(k) be the third derivative of k**10/15120 - k**9/7560 - k**8/1680 + 11*k**4/24 + 2*k**2. Let m(r) be the second derivative of y(r). What is c in m(c) = 0?
-1, 0, 2
Factor -4/7*h**4 - 2/7*h**5 + 2*h**3 + 0 + 0*h - 8/7*h**2.
-2*h**2*(h - 1)**2*(h + 4)/7
Let k be (72 - 73)/(-1 + -14). Let y(x) be the first derivative of 1/20*x**4 - k*x**3 + 0*x - 1/5*x**2 + 5. Suppose y(i) = 0. What is i?
-1, 0, 2
Let g be 10/(20/6)*(-210)/(-180). Let g*y + 5*y**2 - 3/2 = 0. Calculate y.
-1, 3/10
Let o(h) be the first derivative of 0*h - 12 - 3/8*h**4 - 1/3*h**3 + 0*h**2. Factor o(k).
-k**2*(3*k + 2)/2
Let b be (-18)/(-4) - (-27)/(-18). Let p be (6/3 - b)/((-2)/4). Suppose 0 - 1/2*j**p - 3/2*j = 0. What is j?
-3, 0
Determine p so that 0 + 0*p - 2/9*p**4 + 2/9*p**5 - 2/3*p**2 - 10/9*p**3 = 0.
-1, 0, 3
Let n(u) be the third derivative of -5*u**8/336 - 5*u**7/21 - 11*u**6/8 - 11*u**5/3 - 25*u**4/6 + 77*u**2 + 2. Suppose n(v) = 0. Calculate v.
-5, -2, -1, 0
Determine h, given that 0 - 1/2*h**2 + 1/2*h**4 + 1/2*h**3 - 1/2*h = 0.
-1, 0, 1
Let n(m) be the second derivative of m**4/12 + m**3/3 + m**2/2 + 4*m + 5. Factor n(b).
(b + 1)**2
Let u(r) = -10*r**3 - 18*r**2 - 22*r + 11. Let j(z) = z**3 + z**2 + 2*z - 1. Let m(a) = -22*j(a) - 2*u(a). Factor m(o).
-2*o**2*(o - 7)
Let v(q) be the third derivative of 35*q**7/12 - 21*q**6 + 683*q**5/15 - 12*q**4 + 4*q**3/3 - 2*q**2 + 29*q. Determine k, given that v(k) = 0.
2/35, 2
Let v(y) be the first derivative of -4*y**4 + 44*y**3/3 - 10*y**2 - 8*y - 262. Find s, given that v(s) = 0.
-1/4, 1, 2
Let h = -5837/9 + 29203/45. Suppose h + 8/5*z + 2/5*z**4 + 12/5*z**2 + 8/5*z**3 = 0. Calculate z.
-1
Suppose 11*i + 120 = 8*i. Let k be 4*(35/i)/(-7). Factor -3*n + 9/2 + k*n**2.
(n - 3)**2/2
Factor -15*k - 63/2 - 3/2*k**2.
-3*(k + 3)*(k + 7)/2
Let g(d) be the first derivative of 2*d**2 + 24 - 4*d - 1/3*d**3. Factor g(h).
-(h - 2)**2
Suppose -62*y + 76 = -48. Let n(l) = l**2 + 3*l - 1. Let c be n(-4). Factor 2/5*z**4 + 0 + 2*z**c + 8/5*z + 16/5*z**y.
2*z*(z + 1)*(z + 2)**2/5
Let y(b) = -b**2 + 14*b + 55. Let l be y(17). Let r(c) be the first derivative of 0*c**3 - 3/7*c**2 + 4/7*c + 1/14*c**l - 1. Factor r(t).
2*(t - 1)**2*(t + 2)/7
Let s be -2 - 1*142/(-8). Let c(y) be the first derivative of 6*y**2 - 2 + 0*y + 16*y**3 + s*y**4 + 27/5*y**5. Factor c(j).
3*j*(j + 1)*(3*j + 2)**2
Let h(q) = 3*q - 12. Suppose 1 + 4 = a. Let u be h(a). What is m in -6*m**2 - 6*m**2 + 11*m**2 + m**u = 0?
0, 1
Let y(d) be the second derivative of 6*d**6/5 + 6*d**5/5 - 8*d**4/3 + 285*d. Suppose y(j) = 0. What is j?
-4/3, 0, 2/3
Let g(h) be the third derivative of h**6/300 - h**5/120 - 7*h**4/240 + h**3/30 - 8*h**2 + h. Find i such that g(i) = 0.
-1, 1/4, 2
Let a(s) be the third derivative of -s**5/20 + 9*s**4/4 + 20*s**3 + 272*s**2. Solve a(d) = 0.
-2, 20
Solve 25256 + 20*s + 52*s + 54*s**3 - 25272 - 108*s**2 = 0 for s.
2/3
Let z(f) be the second derivative of 3/2*f**3 + 6*f + 0 - f**4 + 3/2*f**2. Factor z(y).
-3*(y - 1)*(4*y + 1)
Let z be ((-306)/4)/(6/8). Let m = 104 + z. Factor 25/2*n**2 + m + 10*n.
(5*n + 2)**2/2
Solve 0 - 12/7*f**2 + 12/7*f + 3/7*f**4 - 3/7*f**3 = 0 for f.
-2, 0, 1, 2
Let b be (0 - 2)*3/(-132)*8. Let r(z) be the first derivative of 40/33*z**3 + 0*z - 2 - b*z**2 - 25/22*z**4. Determine p, given that r(p) = 0.
0, 2/5
Let m(c) be the second derivative of 18*c + 81/4*c**2 + 0 + 3/2*c**3 + 1/24*c**4. Factor m(t).
(t + 9)**2/2
Let q = 1397/2 + -6973/10. Factor q*p**4 + 4/5*p + 16/5*p**3 + 0 + 14/5*p**2.
2*p*(p + 1)**2*(3*p + 2)/5
Let h(q) be the first derivative of q**4/40 - q**3/2 - 33*q**2/20 - 17*q/10 - 306. Factor h(k).
(k - 17)*(k + 1)**2/10
Suppose 27*l + 1/4*l**2 + 729 = 0. Calculate l.
-54
Let c(d) be the first derivative of -d**5/15 + d**4/3 - 2*d**3/3 - 25*d**2/2 - 13. Let z(r) be the second derivative of c(r). Determine k so that z(k) = 0.
1
Suppose -292*r - 16 = -300*r. Let s(a) be the third derivative of -1/30*a**5 + 0 + 0*a**4 - 1/120*a**6 + 8*a**r + 0*a + 0*a**3. Factor s(q).
-q**2*(q + 2)
Let r(p) be the first derivative of -p**3/2 - 207*p**2/4 - 102*p + 189. Determine h, given that r(h) = 0.
-68, -1
Let w(v) be the second derivative of -1/16*v**4 - 8*v + 0 + 3/8*v**2 - 3/80*v**5 + 1/8*v**3. Factor w(u).
-3*(u - 1)*(u + 1)**2/4
Suppose -3*m = -5*g + 3, -6*g + 3 = -9*g + 3*m. Let o(z) be the second derivative of -z + 4/21*z**g - 1/42*z**4 - 4/7*z**2 + 0. Factor o(u).
-2*(u - 2)**2/7
Let m = -51 + 54. Let d(c) be the third derivative of -3*c**2 - 7/180*c**6 - 1/10*c**5 - 1/18*c**4 + 0 + 0*c + 0*c**m. Let d(s) = 0. What is s?
-1, -2/7, 0
Let x = 240 - 237. Let q(b) be the first derivative of -1 - 25/2*b**4 + 0*b - b**2 + 20/3*b**x. Solve q(y) = 0.
0, 1/5
Let h(p) be the first derivative of p**4/2 - 28*p**3/3 + 53*p**2 - 80*p + 428. Factor h(i).
2*(i - 8)*(i - 5)*(i - 1)
Let n = -39 - -17. Let k(x) = 10*x**5 - 3*x**4 - 2*x**3 - 11*x**2 + 11. Let c(l) = l**5 - l**2 + 1. Let w(f) = n*c(f) + 2*k(f). Factor w(h).
-2*h**3*(h + 1)*(h + 2)
Let i(j) be the first derivative of -j**8/7560 + j**6/810 - j**4/108 + 7*j**3/3 + 18. Let m(r) be the third derivative of i(r). What is u in m(u) = 0?
-1, 1
Let d(y) = -8*y**2 + 12*y + 93. Let z(w) = 65*w**2 - 95*w - 745. Let b(s) = -25*d(s) - 3*z(s). Let b(q) = 0. Calculate q.
-3, 6
Let -12/7 - 2/7*s**2 - 2*s = 0. Calculate s.
-6, -1
Let o(y) be the second derivative of y**5/8 + 55*y**4/24 - 35*y**3/6 - 30*y**2 - 402*y. Find b, given that o(b) = 0.
-12, -1, 2
