h) - 4*u(h). Factor o(w).
-3*w*(w - 3)*(w - 1)
Factor 12*j - 21/4*j**3 - 15/2*j**2 + 3/4*j**4 + 0.
3*j*(j - 8)*(j - 1)*(j + 2)/4
Suppose -1206 = -5*m - 2*y, 0*m + 2*m - 5*y = 465. Let l be (6/135)/(3/m). Determine w, given that 16/9*w + 2/9*w**3 - 14/9*w**2 + l = 0.
-1, 4
Let o(y) be the second derivative of y**6/80 - 15*y**5/32 + 189*y**4/32 - 407*y**3/16 + 363*y**2/8 - 3*y + 50. Let o(u) = 0. Calculate u.
1, 2, 11
Let l(u) = u**2 + u + 1. Let s(k) = 5*k**2 + 5*k - 37. Let v(h) = 6*l(h) - 2*s(h). Factor v(c).
-4*(c - 4)*(c + 5)
Factor -180*g**2 - 17 + 16*g - 72*g**3 + 23*g**4 - 13*g**4 - 14*g**4 + 36 + 221.
-4*(g - 1)*(g + 2)**2*(g + 15)
Suppose 2*x**3 + 0*x**3 - 3194*x + 38 + 1600*x - 38*x**2 + 1592*x = 0. What is x?
-1, 1, 19
Find g such that -21/4*g - 6 + 3/4*g**2 = 0.
-1, 8
Let u be (-9)/(-4)*(530/(-45) - -12). Factor 0*p**2 + 0*p**4 + 0 + 1/2*p**3 - u*p**5 + 0*p.
-p**3*(p - 1)*(p + 1)/2
Let w(g) = 24*g - 69. Let d be w(3). Let c(j) be the first derivative of -5 + 1/8*j**2 - 1/24*j**d + 0*j. Factor c(k).
-k*(k - 2)/8
Let f be 2 + 3/(-6)*2. Let t be f/(3 - (-15)/(-6)). Let l**2 + 3*l**4 + l**2 - 7*l**3 + t*l**4 + 0*l**4 = 0. What is l?
0, 2/5, 1
Factor -2*j**3 - 5*j**4 + 50*j**2 - 2*j**3 + 0*j**3 - 11*j**3.
-5*j**2*(j - 2)*(j + 5)
Let f(b) be the first derivative of -13/5*b**2 - 7/10*b**4 - 2/25*b**5 - 8/5*b - 2*b**3 + 22. Factor f(j).
-2*(j + 1)**3*(j + 4)/5
Suppose 55*z = -4*s + 52*z, 5*s = 5*z. Let x(n) be the first derivative of -1/12*n**3 + 1/4*n - 8 + s*n**2. Suppose x(b) = 0. Calculate b.
-1, 1
Let v be (56/21 - 3)/((-2)/72). Let v*m**3 - 30*m**3 - 15*m + 13*m**3 + 20*m**2 = 0. Calculate m.
0, 1, 3
Let x(l) = l**4 - l**3. Let n(f) = -2*f**3 - 288*f**2 - 2*f + 293*f**2 + 3*f**3 - 4*f**3. Let m(t) = n(t) + x(t). Factor m(u).
u*(u - 2)*(u - 1)**2
Let -404/13*p - 160/13 - 10/13*p**2 = 0. Calculate p.
-40, -2/5
Let g = 1 - -5. Suppose 4*p = 2*p + g. Factor k**2 + 0*k**p - k**3 + k + 0*k**2 - k**4.
-k*(k - 1)*(k + 1)**2
Let m(h) be the first derivative of -4 - 1/4*h**6 + 0*h**5 + 0*h**2 + 0*h + 0*h**3 + 3/8*h**4. Factor m(t).
-3*t**3*(t - 1)*(t + 1)/2
Let k(m) be the first derivative of -m**7/105 - 2*m**6/45 - 7*m**5/90 - m**4/18 + 5*m**2/2 - 20. Let r(l) be the second derivative of k(l). Factor r(o).
-2*o*(o + 1)**2*(3*o + 2)/3
Let l(b) = -2*b**3 + 96*b**2 + 120*b - 52. Let d(k) = k**3 - 1. Let x(a) = 12*d(a) + l(a). Find y, given that x(y) = 0.
-8, -2, 2/5
Let l(s) = -12*s + 42. Let w be l(12). Let x = 207/2 + w. Factor 3/4*u**3 + 0 - 3/4*u**2 - x*u.
3*u*(u - 2)*(u + 1)/4
Suppose 3*t + 72 = 7*t - 2*l, t = -3*l + 4. Suppose -8*s + 2*s**3 - t + 2*s**5 - 970*s**4 + 5*s**2 + 15*s**2 + 962*s**4 = 0. Calculate s.
-1, 2
Let j(g) be the first derivative of g**3/3 + g**2/2 + g + 18. Let p(y) = -6*y**2 + 10*y - 10. Let x(f) = 2*j(f) + p(f). Suppose x(k) = 0. Calculate k.
1, 2
Let v(q) = 10*q**4 + 56*q**3 + 168*q**2 + 244*q + 134. Let a(j) = -19*j**4 - 110*j**3 - 336*j**2 - 490*j - 267. Let r(d) = 6*a(d) + 11*v(d). Factor r(i).
-4*(i + 1)*(i + 2)*(i + 4)**2
Let x = -2266/21 - -760/7. Let 16/15*l - x*l**2 + 8/15 = 0. Calculate l.
-2/5, 2
Let b = -424 - -4241/10. Let f(v) be the second derivative of -2*v - b*v**5 - 4*v**2 + 1/6*v**4 + 0 + 4/3*v**3. Determine d so that f(d) = 0.
-2, 1, 2
Let q = -37 + 37. Let m be ((q - 2)*1)/(-6). What is i in 2/3 - m*i**2 + 1/3*i = 0?
-1, 2
Let h(z) = z**2 + 1. Let g(x) = 3*x**4 - 42*x**3 + 176*x**2 - 216*x + 5. Let r(u) = g(u) - 5*h(u). Factor r(a).
3*a*(a - 8)*(a - 3)**2
Let a = 48415 + -726169/15. Factor 392/15 + 2/15*x**2 + a*x.
2*(x + 14)**2/15
Let w(n) be the first derivative of -5*n**3/3 - 70*n**2 + 381. Solve w(x) = 0 for x.
-28, 0
Suppose 4*x - 3*u - 10 = 0, 2*x - 8 = 4*u - u. Let w be (1 + x)*(2 - (-2)/(-4)). Factor 5/3*n + 0 + 0*n**2 - 5/3*n**w.
-5*n*(n - 1)*(n + 1)/3
Let 4*b - 44*b**2 + 21*b**2 + 19*b**2 - 16*b**3 + 16*b**4 = 0. What is b?
-1/2, 0, 1/2, 1
Find b, given that 3245/4*b - 3025/2 + 1/4*b**3 - 28*b**2 = 0.
2, 55
Suppose 0 = 4*d - 9*d + 25, 6*d = -2*w + 30. Factor -9/8*k**2 - 9/8*k**3 - 3/8*k + w - 3/8*k**4.
-3*k*(k + 1)**3/8
Let x = 113146/109053 + -2/4039. Let d = 8/27 + x. Suppose 0 + 28/3*s**4 + 15*s**3 + d*s - 28/3*s**2 - 49/3*s**5 = 0. Calculate s.
-1, 0, 2/7, 1
Let d(j) be the second derivative of -5*j**7/42 + 3*j**6/2 - 15*j**5/2 + 115*j**4/6 - 55*j**3/2 + 45*j**2/2 + 53*j. Factor d(r).
-5*(r - 3)**2*(r - 1)**3
Let o(f) be the first derivative of -8 - 125*f - 2/15*f**6 - 81/25*f**5 - 300*f**2 - 31*f**4 - 430/3*f**3. Find y such that o(y) = 0.
-5, -1/4
Suppose 3*a - 24 = a. Suppose -39 + 3 = -a*f. Determine h so that 0 - 1/4*h**5 + 0*h**4 + 3/4*h**f - 1/2*h**2 + 0*h = 0.
-2, 0, 1
Let o(c) be the second derivative of -1/6*c**4 - 25*c + 2*c**3 - 8*c**2 + 0. Factor o(m).
-2*(m - 4)*(m - 2)
Let b(v) be the third derivative of v**10/378000 - v**8/25200 + v**6/1800 + 11*v**5/60 - 12*v**2. Let o(l) be the third derivative of b(l). Factor o(t).
2*(t - 1)**2*(t + 1)**2/5
Let c(t) be the first derivative of -1/4*t**2 + 0*t + 13 + 1/6*t**3. Factor c(r).
r*(r - 1)/2
Let h(j) be the second derivative of -j**4/6 - 2*j**3 - 8*j**2 + 24*j. Let h(z) = 0. Calculate z.
-4, -2
Let s = 4 - 2. Let x be ((0 + -4)/(-4))/(56/32). Suppose 0 - 2/7*r**s + x*r = 0. What is r?
0, 2
Let r(c) = 6*c + 6*c**4 - 2 - 1 + 6*c**2 - 3 + c**4 - 3*c**3. Let w(m) = -20*m**4 + 9*m**3 - 17*m**2 - 17*m + 17. Let n(b) = 17*r(b) + 6*w(b). Factor n(j).
-j**3*(j - 3)
Let c be (-13)/(-2)*(-6 + 4 - -4). Suppose -3*g - 4*n + 1 = 0, 3*n = 3*g + n - c. Let -8/3*m**4 + 2/3*m**g + 8/3*m**5 + 0 + 0*m + 0*m**2 = 0. What is m?
0, 1/2
Let p(r) be the first derivative of -4/45*r**3 - 1/45*r**6 + 2/25*r**5 - 2/15*r - 1/15*r**4 - 7 + 1/5*r**2. Find a such that p(a) = 0.
-1, 1
Let j(l) be the second derivative of 0*l**2 + 5/12*l**4 + 5/3*l**3 + 3*l + 0. Let j(i) = 0. Calculate i.
-2, 0
Let b(r) = -r**2 + 6*r - 4. Let a be b(2). Find s, given that -a*s + 2*s - 15*s**2 - s**3 + 12*s**2 = 0.
-2, -1, 0
Let p(l) be the first derivative of l**6/24 - 3*l**5/10 + 9*l**4/16 - 21. Suppose p(q) = 0. Calculate q.
0, 3
Let i = -1261/1680 + 27/35. Let r(o) be the third derivative of 1/24*o**3 + 0 - 5*o**2 + 0*o - i*o**4 + 1/240*o**5. Suppose r(s) = 0. Calculate s.
1
Suppose -2*q - 17 = 5*h + 1, 0 = 2*q - 4*h. Let i be q/(4 + -2)*-1. What is s in 201*s - 201*s - i*s**3 - 4*s**2 = 0?
-2, 0
Factor 4/7 + 2/7*f**2 - 6/7*f.
2*(f - 2)*(f - 1)/7
Let i(y) be the third derivative of 1/6*y**4 - 8*y**2 + 0*y**3 + 0 + 0*y + 2/5*y**6 - 11/105*y**7 - 1/2*y**5. Factor i(w).
-2*w*(w - 1)**2*(11*w - 2)
Let x(r) be the first derivative of r**3 - 39*r**2 + 75*r + 108. Find j such that x(j) = 0.
1, 25
Let w(p) = -p**3 - p**2 - 1. Let l = 57 - 63. Let m(q) = -3*q**3 + 6*q**2 + 9*q - 6. Let r(h) = l*w(h) + m(h). Suppose r(s) = 0. What is s?
-3, -1, 0
Suppose 4/5*a**5 + 92/5*a**2 - 12/5*a**3 - 56/5*a + 0 - 28/5*a**4 = 0. Calculate a.
-2, 0, 1, 7
Suppose 4*y - 2*i - 116 = 64, -3*i = 0. Let p be (y/12)/((-18)/(-120)). Factor -t**2 - 9 + 5*t**2 + 16*t + p.
4*(t + 2)**2
Let a(v) be the third derivative of -1/180*v**6 + 1/60*v**5 + 0 + 0*v - 2/3*v**3 - v**2 + 1/6*v**4. Let g(k) be the first derivative of a(k). Factor g(i).
-2*(i - 2)*(i + 1)
Suppose 0 = 2*x - 3*x + 367. Suppose -152 = 5*y - 5*b - x, 5*y - 213 = 4*b. Factor 28*d**3 + 144*d - 32 - 65*d**2 - 55*d**2 + y*d**2 - 41*d**2.
4*(d - 2)**2*(7*d - 2)
Let s(l) be the second derivative of -l**4/72 + l**3/36 + l**2/6 + 11*l - 2. Factor s(m).
-(m - 2)*(m + 1)/6
Let q = -23 + 27. Let 2*b**4 + b**5 + b**5 - q*b**3 + 2*b - 119 + 121 - 4*b**2 = 0. What is b?
-1, 1
Let m(f) be the second derivative of -1/24*f**4 + 1/40*f**5 + 0*f**2 + 0*f**3 - 6*f + 0. Factor m(d).
d**2*(d - 1)/2
Let i = 35 + -33. Factor 84*c + 30*c**i - c**3 - 129*c - 4*c**3.
-5*c*(c - 3)**2
Let m(s) = -s - 12. Let o be m(-11). Let b = o + 6. Find d, given that 2 - 4*d**3 - b*d**2 + 12*d + 12*d**3 + 23*d**2 = 0.
-1, -1/4
Let i be 0*(81/(-6) - -13). Suppose 8/7 + i*h**2 - 4/7*h**3 + 12/7*h = 0. Calculate h.
-1, 2
Let j(z) be the third derivative of -z**6/240 - z**5/20 - 5*z**4/48 + z**3 + z**2 + 17*z. Solve j(a) = 0.
-4, -3, 1
Let k = -8 + 0. Let f be (3/((-6)/k))/2. Find r, given that 25*r - f*r**2 - 3 - 31*r - r**2 = 0.
-1
Let d(p) = -p**2 + p. Let w(v) be the first deriv