derivative of n**3/2 - 9*n**2 - 7*n. Let d be h(7). Factor 2/3*y**2 + 0*y - 4/3*y**d + 2/3*y**4 + 0.
2*y**2*(y - 1)**2/3
Solve 25/3*i**5 - 187*i**3 + 320/3*i - 28 - 95/3*i**4 - 37/3*i**2 = 0.
-3, -1, 2/5, 7
Let c(d) be the second derivative of d**7/504 + d**6/36 + d**5/6 - 13*d**4/4 - 5*d. Let x(q) be the third derivative of c(q). Find w such that x(w) = 0.
-2
Let u(l) = -2*l**3 + 9*l**2 - 3*l + 6. Let g(s) = -2*s**3 + 8*s**2 - 2*s + 4. Let d(z) = 3*g(z) - 2*u(z). Factor d(p).
-2*p**2*(p - 3)
Let z(l) be the second derivative of -l**4/30 - 22*l**3/15 - 13*l. Suppose z(i) = 0. What is i?
-22, 0
Factor 16*i + 3*i**5 - 36*i - 32*i**2 + 24*i**4 + i**5 + 16*i**3 + 8*i**2.
4*i*(i - 1)*(i + 1)**2*(i + 5)
Suppose 5 = d - 0*d. Suppose 2*s = 2*a - 10, 0 = -6*a + 3*a - d*s - 1. Factor -2*y + 3*y**a + 3 + 6*y**4 - 5*y + 4*y - 9*y**2.
3*(y - 1)*(y + 1)**2*(2*y - 1)
Let v(q) be the third derivative of 0*q - 1/20*q**4 + 1/10*q**3 + 1/100*q**5 + 7*q**2 + 0. Factor v(b).
3*(b - 1)**2/5
Factor -75*d - 3*d**2 + 45*d + 128 + 27*d**2 + 126*d + 2*d**3.
2*(d + 4)**3
Suppose -1 = -28*n - 95*n - 1. Determine j so that -2/5*j + 2/5*j**3 - 2/5*j**2 + 2/5*j**4 + n = 0.
-1, 0, 1
Let j(w) be the third derivative of -w**7/1050 + w**6/300 + 2*w**5/75 - 2*w**2 + 880*w. Suppose j(z) = 0. Calculate z.
-2, 0, 4
Let o = -1646 + 4942/3. Suppose 27*g**2 + o - 12*g = 0. Calculate g.
2/9
Let f(z) be the second derivative of -3*z**6/2 + 69*z**5/2 - 2405*z**4/12 - 920*z**3/3 - 160*z**2 + 5*z - 19. Factor f(y).
-5*(y - 8)**2*(3*y + 1)**2
Let 1/3*i**2 - 2/3*i - 1 = 0. What is i?
-1, 3
Let t(l) be the third derivative of l**8/3360 + l**7/840 - l**6/720 - l**5/120 - 7*l**3/3 - 3*l**2. Let q(a) be the first derivative of t(a). Factor q(g).
g*(g - 1)*(g + 1)*(g + 2)/2
Let a(h) be the third derivative of -h**6/240 - 2*h**5/5 + 33*h**4/16 - 25*h**3/6 - 285*h**2. Suppose a(y) = 0. Calculate y.
-50, 1
Let d(m) be the first derivative of -1/32*m**4 + 0*m + 1/240*m**5 - 12 - 1/6*m**3 - 4*m**2. Let h(a) be the second derivative of d(a). Factor h(k).
(k - 4)*(k + 1)/4
Let w(r) be the first derivative of 3*r**4/4 - 12*r**3 - 3*r**2/2 + 36*r - 82. Solve w(k) = 0 for k.
-1, 1, 12
Let k(i) = 2*i**2 - 6*i - 7. Let b be k(6). Factor -15 - 5*t**3 - 25*t**2 - b*t - 22*t + 16*t.
-5*(t + 1)**2*(t + 3)
Factor -25 - 8*p**2 + 5*p**2 - 5*p**2 - 8*p**3 - p**4 + 2*p**2 + 40*p.
-(p - 1)**2*(p + 5)**2
Let n(f) be the second derivative of -f**4/3 + 46*f**3/3 - 18*f. Solve n(l) = 0 for l.
0, 23
Let a(i) be the third derivative of -i**6/40 + i**5/10 + 5*i**4/8 - 3*i**3 - 251*i**2. Solve a(r) = 0 for r.
-2, 1, 3
Suppose 4*k - 13 + 1 = 0. Let t(w) = w**3 + 2*w**2 - 4*w - 5. Let s be t(2). Factor s*a**2 - 39*a**4 - 4*a**3 + 6*a - 33*a**3 - 15*a**5 + 10*a**k.
-3*a*(a + 1)**3*(5*a - 2)
Suppose -4*r = -3*i + 9, 5*r - 2*r = 0. Solve -24 + 0*q**3 + 18*q**2 - 2*q**3 + 12*q - 13*q**3 + i*q**4 = 0.
-1, 2
Let m(i) = -93*i + 1. Let h be m(-1). Let t = 1224/13 - h. Factor -32/13*k + 16/13*k**2 + 0 - t*k**3.
-2*k*(k - 4)**2/13
Let s = -191 - -191. Suppose 0*q + 4/5*q**2 - 2/5*q**3 - 2/5*q**4 + s = 0. What is q?
-2, 0, 1
Let o(f) be the third derivative of -f**8/1680 - f**7/420 + f**5/60 + f**4/24 - f**3 + 17*f**2. Let l(s) be the first derivative of o(s). Solve l(q) = 0.
-1, 1
Suppose -283 = -2*r + 67. Let z be (-6)/(-14) + ((-1395)/r)/(-1). Suppose -8/5*a - 34/5*a**3 - 58/5*a**4 + z*a**5 - 8/5 + 66/5*a**2 = 0. What is a?
-1, -2/7, 2/3, 1
Let n(u) be the first derivative of 4/21*u**3 + 35 + 4/7*u**2 + 0*u. Find b, given that n(b) = 0.
-2, 0
Let v be -102 + 108 + 59 + -2 + 1. Factor -v*h**2 - 16*h**3 + 0 - 4/3*h**4 - 256/3*h.
-4*h*(h + 4)**3/3
Solve 0 - 10/3*d**4 - 2/3*d**5 + 2/3*d**3 + 0*d + 10/3*d**2 = 0 for d.
-5, -1, 0, 1
Let s(b) = b**4 - 2*b**3 - 6*b**2 + 3. Let q(i) = 4*i**4 - 11*i**3 - 30*i**2 + 15. Let r = -24 + 22. Let z(w) = r*q(w) + 11*s(w). Factor z(n).
3*(n - 1)**2*(n + 1)**2
Let l(z) be the second derivative of -z**2 - 2/3*z**3 - 1/6*z**4 + 0 + 29*z. Factor l(q).
-2*(q + 1)**2
Let l(p) be the second derivative of -p**7/1470 + p**6/168 - p**5/60 + p**4/56 - 9*p**2/2 + p - 25. Let s(y) be the first derivative of l(y). Factor s(h).
-h*(h - 3)*(h - 1)**2/7
Let g(w) be the second derivative of w**4/21 - 44*w**3/3 + 1694*w**2 + 247*w. Find o, given that g(o) = 0.
77
Let v(k) be the first derivative of k**6/2 + 9*k**5/5 - 15*k**4/4 - 3*k**3 + 6*k**2 + 19. Factor v(u).
3*u*(u - 1)**2*(u + 1)*(u + 4)
Suppose 0 = 4*r - 170 + 34. Let a = r - 24. Find i such that -4*i - 2*i**2 + 4*i - 8*i**4 + a*i**2 + 12*i**3 = 0.
-1/2, 0, 2
Let s(n) be the first derivative of 48*n + n**3 - 7 + 3/5*n**5 - 9/2*n**4 + 36*n**2. Factor s(b).
3*(b - 4)**2*(b + 1)**2
Let v = 1004/129 - 220/43. Factor -6/5*d**3 + 4/15 - 26/15*d + v*d**2.
-2*(d - 1)**2*(9*d - 2)/15
Suppose -2/9*j**3 - 14/9*j**4 - 4/9*j**5 + 2/3*j + 14/9*j**2 + 0 = 0. What is j?
-3, -1, -1/2, 0, 1
Let m = -1 + 13. Suppose 3*f - m = -f. Suppose 8 - 3*q**f - q**3 - 42*q**2 + 13*q**4 + q**4 - 16*q = 0. What is q?
-1, 2/7, 2
Let -16*v + 122/9*v**2 + 10/9*v**4 + 28/3*v**3 - 8 = 0. Calculate v.
-6, -3, -2/5, 1
Let l(p) be the third derivative of p**5/30 - 7*p**4/12 + 4*p**3 - 23*p**2. Determine y, given that l(y) = 0.
3, 4
Let b(j) = -7*j**4 + 12*j**3 - 25*j**2 + 4*j + 4. Let g(m) = m**4 + m**3 + 2*m**2 - 1. Let c(s) = b(s) + 4*g(s). Factor c(q).
-q*(q - 4)*(q - 1)*(3*q - 1)
Let j(c) be the first derivative of c**6/6 - 2*c**5/5 - c**4 + 2*c**3/3 + 3*c**2/2 - 41. Suppose j(b) = 0. Calculate b.
-1, 0, 1, 3
Let k = 88 - 83. Let 9*y**3 + 0*y**5 - 15*y**3 + 4*y**2 - 8*y**2 + 2*y**k = 0. Calculate y.
-1, 0, 2
Let u(z) be the second derivative of 2*z**6/135 - z**5/45 - z**4/9 + 2*z**3/27 + 4*z**2/9 + z - 5. Determine d so that u(d) = 0.
-1, 1, 2
Factor -1/3*n**3 + 13/3*n**2 - 32/3*n + 20/3.
-(n - 10)*(n - 2)*(n - 1)/3
Let p = 12 + -20. Let o = p + 10. Factor d - 1 + d + 0*d - 5*d - o*d**2.
-(d + 1)*(2*d + 1)
Let d(f) = -132*f + 134. Let u be d(1). Let 16/3 + 16/3*b**3 - 16/3*b - 4*b**u - 4/3*b**4 = 0. Calculate b.
-1, 1, 2
Let n(b) = -b**2 + 7*b - 3. Let c be ((-2)/(-4))/(7/70). Let x be n(c). Factor 5 + 0 - 10*d - 2*d**3 - 2 - 8*d**2 - x.
-2*(d + 1)**2*(d + 2)
Let h(p) = -p**2 + 7*p - 9. Let l be h(6). Let f be l/(-1) - (-5)/5. Determine g, given that -6 - 6*g + 2 + g**4 + 3*g - g + 3*g**2 + f*g**3 = 0.
-2, -1, 1
Suppose 73 - 28 = 11*p + 12. Factor 1/4*x**4 + 0 + 5/4*x**p + x**2 + 0*x.
x**2*(x + 1)*(x + 4)/4
Let u be (-1)/((-4)/(-6))*2. Let y(t) = -t**3 - 2*t**2 + 2*t - 1. Let d be y(u). Suppose 3*f**d + 16 + 31 + 24*f + 30 - 29 = 0. What is f?
-4
Let q(h) be the second derivative of -1/12*h**2 + 1/120*h**5 + 5*h + 0 + 1/72*h**4 - 1/36*h**3. Determine t so that q(t) = 0.
-1, 1
Let n be (30/15)/((-2)/4 - -2). Let l(q) be the first derivative of 4/5*q**5 - q**2 - n*q**3 + 0*q**4 + 1/3*q**6 + 0*q + 1. Factor l(s).
2*s*(s - 1)*(s + 1)**3
Let n(w) be the third derivative of 1/140*w**6 + 4/105*w**5 + 2/21*w**3 + 0*w - 10*w**2 + 0 + 1/12*w**4. Determine r so that n(r) = 0.
-1, -2/3
Determine z, given that 0 - 1/7*z**4 - 11/7*z**2 - 6/7*z - 6/7*z**3 = 0.
-3, -2, -1, 0
Let q(d) be the third derivative of -5*d**8/28 + 41*d**7/105 + d**6/10 - d**5/2 - d**4/6 - 377*d**2. Determine r so that q(r) = 0.
-1/2, -2/15, 0, 1
Let r(x) = -9*x**3 - 15*x**2 + 2*x. Let w(g) = -63*g**3 - 105*g**2 + 12*g. Let a(p) = -15*r(p) + 2*w(p). Factor a(m).
3*m*(m + 2)*(3*m - 1)
Suppose -12 = 14*l - 8*l. Let y be l/(-7) + 108/63. Factor 3/2*a**3 - 1/2*a**5 + a + 5/2*a**y - 1/2*a**4 + 0.
-a*(a - 2)*(a + 1)**3/2
Let j(c) be the third derivative of c**7/1470 + c**6/120 - 3*c**5/140 - c**4/24 + 4*c**3/21 + 3*c**2 + 8. Factor j(m).
(m - 1)**2*(m + 1)*(m + 8)/7
Let g = 161/314 + -2/157. Let o(d) be the first derivative of -g*d**2 + 0*d + 1/3*d**3 - 1/5*d**5 + 1/4*d**4 - 5. Factor o(i).
-i*(i - 1)**2*(i + 1)
Let d(r) = -4*r**2 - 2*r - 3. Let z(g) = 3*g**2 + g + 2. Let n be 2/(-8)*-4*11. Suppose 5 + n = -4*o. Let k(h) = o*d(h) - 6*z(h). Solve k(b) = 0 for b.
0, 1
Let k be 1/(-4) + 33/36. Suppose -26 - 85 = -37*w. Factor 0 - 2/3*v**w + k*v + 0*v**2.
-2*v*(v - 1)*(v + 1)/3
Let z be 600/(-100)*(3/(-2) + -1 + 2). Determine v, given that 12*v + 10 + 9/2*v**2 + 1/2*v**z = 0.
-5, -2
Suppose 18*x = -10 + 46. Let s(a) be the third derivative of 2/15