2 + 1120*y + 39200. Let q(u) = -7*m(u) - 4*n(u). Suppose q(r) = 0. Calculate r.
-70
Let m be (-3*(-2)/(-4))/(9/(-18)). What is s in m*s**4 + 15*s**2 - 35*s**3 - 5*s**4 + 12*s**4 = 0?
0, 1/2, 3
Let m(c) be the second derivative of c**5/12 - 25*c**4/12 + 125*c**3/6 - 9*c**2/2 + 4*c. Let k(h) be the first derivative of m(h). Factor k(l).
5*(l - 5)**2
Let w(v) = 3*v**2 - 2*v**2 - 7 + 19*v - 10*v. Let s be w(-10). Determine p so that 3*p**4 - p**2 + 2*p**2 - s*p**2 + p**3 = 0.
-1, 0, 2/3
Suppose 90*u - 291 - 487 = 302. Let u - 3/2*b**2 - 3*b = 0. Calculate b.
-4, 2
Let q(l) = 85*l**4 - 240*l**3 - 560*l**2 - 340*l - 35. Let h(s) = 5*s**4 - 14*s**3 - 33*s**2 - 20*s - 2. Let w(t) = -35*h(t) + 2*q(t). Factor w(z).
-5*z*(z - 4)*(z + 1)**2
Let v = -149 + 155. Let a(c) be the first derivative of c**3 + 0*c + 3 + 1/2*c**v + 9/5*c**5 + 9/4*c**4 + 0*c**2. Solve a(t) = 0 for t.
-1, 0
Let w = 95 + -92. Let q be 2*(-4)/(-8)*7 + w. Factor -q*u**2 - 9/2*u**3 + 0 - 2*u.
-u*(u + 2)*(9*u + 2)/2
Let x(y) = 25*y**3 - 105*y**2 - 95*y + 45. Let w(l) = 37*l**3 - 158*l**2 - 143*l + 68. Let f(m) = 5*w(m) - 8*x(m). Solve f(h) = 0 for h.
-1, 1/3, 4
Let r be (-25425)/(-791)*9/15. Factor 12/7*i**2 + 72/7*i**3 + 0 + 0*i + 75/7*i**5 + r*i**4.
3*i**2*(i + 1)*(5*i + 2)**2/7
Let -1/3*k**2 + 0*k + 4/3 = 0. What is k?
-2, 2
Let k(l) = 5*l**2 + 31*l + 8. Let y(z) = z**2 - 41*z + 34. Let x be y(40). Let t be k(x). Solve 3/4 + 3/4*u**t + 3/2*u = 0.
-1
Factor 59 + 20 + 2*b**2 - 3 - 6 - 72*b.
2*(b - 35)*(b - 1)
Let r = 307 - 305. Suppose -r*b + 12 = 4*s, 3*b + s + 4*s = 16. Let -3/10*f**b + 1/10*f**3 + 0 + 0*f = 0. Calculate f.
0, 3
Factor -1/9 + 0*d + 1/9*d**2.
(d - 1)*(d + 1)/9
Let x(z) be the first derivative of 1/6*z**2 + 0*z - 1/9*z**3 - 23. Factor x(m).
-m*(m - 1)/3
Factor -10*v**3 - 3*v**3 - 11*v**3 - 87 + 23*v**3 - 10*v**2 - 55*v + 41*v**2.
-(v - 29)*(v - 3)*(v + 1)
Let f(b) be the second derivative of -b**5/20 - 5*b**4/12 + 11*b**3/2 - 27*b**2/2 - 128*b. Determine d, given that f(d) = 0.
-9, 1, 3
Let l(p) be the second derivative of 11*p**5/30 - p**4/12 + 2*p**2 - 3*p. Let n(b) be the first derivative of l(b). Factor n(v).
2*v*(11*v - 1)
Let m be (-10)/(-15) + (-4)/6. Let b(c) be the second derivative of 3/20*c**5 + 0*c**3 + m + 1/4*c**4 + 0*c**2 + 4*c. Factor b(a).
3*a**2*(a + 1)
Suppose 8*v + 87 = -249. Let g = v - -45. Factor 0*m**g + 1/3*m - 1/3*m**5 - 2/3*m**4 + 2/3*m**2 + 0.
-m*(m - 1)*(m + 1)**3/3
Let l(b) be the third derivative of -b**6/360 + b**5/3 - 50*b**4/3 + 4000*b**3/9 + 93*b**2 + b. Factor l(g).
-(g - 20)**3/3
Factor -4*n**2 - n**3 + 9*n - 21*n + 5*n**3 - 12*n.
4*n*(n - 3)*(n + 2)
Let b = -64/45 + 758/495. Let z = b - -1/11. Factor 4/5*j + 4/5 + z*j**2.
(j + 2)**2/5
Let o(n) = n**3 - 4*n**2 + 7*n + 9. Let t(b) = 4*b**3 - 18*b**2 + 36*b + 44. Let y(u) = 28*o(u) - 6*t(u). Factor y(j).
4*(j - 3)*(j + 1)**2
Let w(u) be the first derivative of -u**4/8 - u**3/2 - u**2/2 - 546. Factor w(z).
-z*(z + 1)*(z + 2)/2
Suppose 0 = -711*k + 727*k. Let s(z) be the third derivative of 0*z - 1/150*z**5 + 0*z**3 - 4*z**2 + 0 - 1/600*z**6 + k*z**4. Factor s(l).
-l**2*(l + 2)/5
Let n = -2 - -2. Let k be 4/21*6/48*12. Factor -k*h - 2/7*h**3 - 4/7*h**2 + n.
-2*h*(h + 1)**2/7
Find d, given that 2*d**3 + 15*d**2 + 0*d - 2*d - 7*d**2 - 8 + 0*d = 0.
-4, -1, 1
Let z(l) be the first derivative of -6 + 0*l - 1/5*l**5 + 0*l**2 + 1/6*l**6 + 0*l**3 - 1/2*l**4. What is k in z(k) = 0?
-1, 0, 2
Let j be 36/(-270) + 0 - (-8)/(-45)*-2. Factor 2/9*u - j*u**3 - 2/3*u**2 + 2/3.
-2*(u - 1)*(u + 1)*(u + 3)/9
Suppose d - 4*i - 71 = 0, -5*d - 3*i + 289 = -i. Factor k**3 - 59*k + 5*k**2 + 180*k - d*k - 58*k.
k*(k + 1)*(k + 4)
Factor 3*d**3 + 0 + 1/3*d**4 - 3*d - 1/3*d**2.
d*(d - 1)*(d + 1)*(d + 9)/3
Suppose -4*k = -6*k + 12. Let b be (-2)/k - (-427)/(-294)*-2. Let -b*z**4 + 2/7*z**2 + 18/7*z**3 + 0 - 2/7*z = 0. Calculate z.
-1/3, 0, 1/3, 1
Suppose -101*h + 490 - 4*h + 4579*h**3 - 4584*h**3 - 60*h**2 = 0. What is h?
-7, 2
Let w(o) be the third derivative of 1/30*o**5 + 0 - 3*o**2 + 0*o + 4/3*o**3 + 1/3*o**4. Factor w(i).
2*(i + 2)**2
Let x = -940/7 - -946/7. Factor 2/7*j**4 + 2/7*j + x*j**2 + 0 + 6/7*j**3.
2*j*(j + 1)**3/7
Let b(m) be the second derivative of m**7/15120 + m**6/4320 + 5*m**4/12 - 16*m. Let q(u) be the third derivative of b(u). Factor q(d).
d*(d + 1)/6
Factor -21*j**2 - 4*j**2 - 100*j**3 - 20 - 60*j + 45*j**4 + 160*j**3.
5*(j - 1)*(j + 1)*(3*j + 2)**2
Factor -108 + 9/2*r**3 - 57*r**2 + 198*r.
3*(r - 6)**2*(3*r - 2)/2
Let m = -3779/4 + 945. Let n be (-31)/(-12) - (-6)/(-18). Factor 3/2*i - m*i**2 - n.
-(i - 3)**2/4
Let c = -37 - -39. Factor 0*m - 17*m + 3*m - 8 - 12*m - 18*m**c.
-2*(m + 1)*(9*m + 4)
Let n = 103/152 - 27/152. Factor 0*c + 1/2*c**2 + n*c**3 + 0.
c**2*(c + 1)/2
Factor -2*m - 10*m**3 + 160*m**4 - 81*m**4 + 5*m**2 - 84*m**4 + 12*m.
-5*m*(m - 1)*(m + 1)*(m + 2)
Factor 13*g**2 - 42 + 84 + 9*g - 14*g**2 + 10*g.
-(g - 21)*(g + 2)
Let n(v) = -7*v**3 + 14*v**2 - 13*v + 18. Let q(t) = t**3 - t**2 - 2. Let j(d) = 5*n(d) + 30*q(d). Factor j(z).
-5*(z - 6)*(z - 1)**2
Determine o, given that -48/17 + 24/17*o**5 - 284/17*o**3 + 260/17*o + 266/17*o**4 - 218/17*o**2 = 0.
-12, -1, 1/4, 2/3, 1
Let q(t) be the second derivative of -7/36*t**3 - 1/6*t**2 + 6*t + 1/40*t**5 - 1/36*t**4 + 0. Factor q(d).
(d - 2)*(d + 1)*(3*d + 1)/6
Let o = 1380 - 11013/8. Factor 3/8*v + 33/8*v**3 - o*v**2 + 3/8 - 3/2*v**4.
-3*(v - 1)**3*(4*v + 1)/8
Let i(y) be the third derivative of y**6/140 - 4*y**5/35 + 11*y**4/28 + 20*y**3/7 - 603*y**2. Determine k so that i(k) = 0.
-1, 4, 5
Let z be (6 - 8)/(1/(5/(-300))). Let n(k) be the third derivative of -1/120*k**4 + 1/600*k**6 + 7*k**2 + 0*k + 0 - z*k**3 + 1/300*k**5. Factor n(p).
(p - 1)*(p + 1)**2/5
Let f be 2 - (336/(-34) - 28/238). Find n such that -21/4*n + f*n**3 + 3/4 + 6*n**2 = 0.
-1, 1/4
Let y(u) be the first derivative of -5*u + 5/12*u**3 + 0*u**2 + 6. Find g, given that y(g) = 0.
-2, 2
Let l(b) = -b**3 + b**2 - 1. Let c(j) = 4 + 4*j**3 + 0*j**2 - 2*j + j - 4*j**2. Let o = -139 + 145. Let i(q) = o*l(q) + 2*c(q). Factor i(x).
2*(x - 1)**2*(x + 1)
Let p be 480/144*3/5. Let v(m) be the second derivative of 1/33*m**3 - 1/66*m**4 + 2/11*m**p + 2*m + 0. Factor v(f).
-2*(f - 2)*(f + 1)/11
Factor 1/4*n**2 - 4*n - 9.
(n - 18)*(n + 2)/4
Let j(a) be the third derivative of a**5/60 + a**4/4 + 5*a**3/3 + 30*a**2. Let s be j(-4). Determine d so that 9/2*d + 27/4 + 3/4*d**s = 0.
-3
Factor 644/3*w - 4/3*w**2 + 0.
-4*w*(w - 161)/3
Suppose -2*j - 3*j = 40. Let z(d) = -3*d - 19. Let p be z(j). Suppose 4*t**4 - 4*t**p - 47*t + 47*t = 0. Calculate t.
0, 1
Let o(j) = j**2 - 649*j - 657. Let g(k) = -216*k - 218. Let r(p) = -7*g(p) + 2*o(p). Let r(u) = 0. What is u?
-106, -1
Let o(c) be the first derivative of -12 - c + 1/2*c**2 + 13/2*c**4 + 14/3*c**3 + 19/5*c**5 + 5/6*c**6. Factor o(k).
(k + 1)**4*(5*k - 1)
Let v(z) be the second derivative of -z**6/5 + 5*z**5/2 - 71*z**4/6 + 25*z**3 - 18*z**2 - 35*z + 1. Find u such that v(u) = 0.
1/3, 2, 3
Suppose -3*z + 7*n + 43 = 3*n, 3*z - 36 = -3*n. Suppose -z*o = -0*o. Let -4/11*m**2 - 2/11*m**3 + o + 2/11*m**4 + 0*m = 0. Calculate m.
-1, 0, 2
Let r(o) be the first derivative of -2*o**5/55 + o**4/22 + 2*o**3/33 - o**2/11 + 67. Determine k so that r(k) = 0.
-1, 0, 1
Let d = -286 - -288. Let r(l) be the first derivative of 2/21*l**3 - 2/7*l**d - 5 + 0*l. Suppose r(y) = 0. Calculate y.
0, 2
Suppose r = -b - 2, 1 = -2*b - 7. Factor 7*h**2 - 13*h - r*h**2 + 20 + 38*h.
5*(h + 1)*(h + 4)
Let z(q) be the first derivative of -q**6/2 - 6*q**5 - 30*q**4 - 80*q**3 - 120*q**2 - 96*q - 44. Factor z(y).
-3*(y + 2)**5
Let n(t) be the second derivative of -t**7/14 + 12*t**6/5 - 144*t**5/5 + 128*t**4 - 125*t. Find q such that n(q) = 0.
0, 8
Suppose 119*p = 115*p + 8. Suppose 43 - 49 = -p*z. Find m, given that m**z + 0*m + 0 + 1/2*m**4 + 1/2*m**2 = 0.
-1, 0
Suppose -w = 2 - 16. Let s = w - 9. Factor -2*z**s - 5*z - 28*z**3 + 36*z**3 + z - 2*z**5.
-4*z*(z - 1)**2*(z + 1)**2
Let i = 29 + -26. Factor 7*f**2 - i*f**3 + 8*f**2 - 21*f + 0*f + 9.
-3*(f - 3)*(f - 1)**2
Let a(w) be the second derivative of -w**7/42 + w**5/12 - 15*w**2/2 + 14*w. Let m(b) be the first derivative of a(b). Factor m(k).
-5*k**2*(k - 1)*(k + 1)
Let o(y) = -3*y**3 + 123*y**2 - 621*y + 789. Let u(n