*x**2 - 4*x + x.
3*x*(x - 1)
Let w(v) = 8*v**2 - 6*v + 1 - 1 - 6*v. Let q(o) = -5*o**2. Let a be q(-1). Let i(f) = -9*f**2 + 12*f. Let x(j) = a*w(j) - 4*i(j). Factor x(s).
-4*s*(s - 3)
Let v(y) be the second derivative of y**4/12 + 19*y**3/6 - 21*y**2 + 69*y. What is o in v(o) = 0?
-21, 2
Suppose -4*u + 2*n = -14, 0*n + n + 11 = 4*u. Determine d, given that 6*d**3 - 143*d + 4*d**u - 2*d**4 + 135*d + d**4 - d**5 = 0.
-2, 0, 1, 2
Let g(n) = n**2 + 10*n + 19. Let z be g(-8). Suppose 51 = z*q - 33. What is f in f + 4*f**2 + q + 4*f**3 - 28 = 0?
-1/2, 0
Let b(f) be the first derivative of -4/3*f**3 - 1 - 1/2520*f**6 + 0*f**4 - 1/840*f**5 + 0*f**2 + 0*f. Let a(t) be the third derivative of b(t). Factor a(y).
-y*(y + 1)/7
Suppose -4*z = -10*z. Let h(x) be the second derivative of 0*x**3 + z*x**5 + 1/4*x**4 + 0*x**2 - 1/10*x**6 + 0 - 5*x. Factor h(t).
-3*t**2*(t - 1)*(t + 1)
Suppose -87/2*p**2 + 0 - 43*p - 1/2*p**3 = 0. Calculate p.
-86, -1, 0
Let n be (0 + 1)*(7 - (7 - 3)). Suppose n*d = -d + d. Let 0*q + 1/2*q**2 + d = 0. Calculate q.
0
Let g(d) be the third derivative of -d**6/180 + 2*d**5/45 - d**2 + 107*d. Find j, given that g(j) = 0.
0, 4
Let h(g) = -g**2 - 2*g + 11. Let z(o) = o**2 + 3*o - 10. Let i(p) = 5*h(p) + 4*z(p). Factor i(c).
-(c - 5)*(c + 3)
Let b(f) = -6*f**3 + 14*f**2 - 2*f + 2. Let w = -38 + 35. Let o(c) = 2*c**3 - 5*c**2 + c - 1. Let u(p) = w*b(p) - 8*o(p). Determine y, given that u(y) = 0.
-1, 1
Let m(v) = -v**2 + 1. Let u(d) = -8*d**3 - 36*d**2 - 72*d - 46. Let a(z) = -6*m(z) - u(z). Solve a(g) = 0.
-2, -5/4
Let c(h) be the first derivative of h**5/5 + h**4/4 + h + 27. Let s(z) = 2*z**4 + 5*z**3 - 6*z - 4. Let m(x) = -c(x) - s(x). Factor m(a).
-3*(a - 1)*(a + 1)**3
Suppose 5 = -5*a, 5*g = -5*a + 15 + 5. Suppose -g*h = -2*h + 4*h. Factor -2/5*q**4 + 6/5*q**3 + h + 0*q**2 - 8/5*q.
-2*q*(q - 2)**2*(q + 1)/5
Let d(u) be the second derivative of u**4/4 + 11*u**3 + 363*u**2/2 - u + 296. Factor d(a).
3*(a + 11)**2
Factor -3/7*m**3 + 3*m - 6/7*m**2 - 12/7.
-3*(m - 1)**2*(m + 4)/7
Suppose 3*y + 24 = -5*p, -3*y - 13 = 2*p - 7. Let z be p*(82/(-52) - 6/(-4)). Determine b so that 2/13*b**2 + z*b + 0 = 0.
-3, 0
Let l(g) be the third derivative of g**2 - 1/42*g**7 - 1/6*g**6 - 5/6*g**4 - 1/2*g**5 + 0 + 0*g - 5/6*g**3. Determine z, given that l(z) = 0.
-1
Let u(x) be the second derivative of 3*x**5/40 - 11*x**4/24 - 17*x**3/6 - x + 6. Factor u(p).
p*(p + 2)*(3*p - 17)/2
Let n(b) be the second derivative of b**7/420 - b**5/20 - b**4/6 + 7*b**3/6 - 11*b. Let r(v) be the second derivative of n(v). Find y such that r(y) = 0.
-1, 2
Factor 1/3*h**2 - 17/3*h - 38/3.
(h - 19)*(h + 2)/3
Let y(o) = 3*o**2 - 75*o + 147. Let n(r) = 3*r**2 - 75*r + 150. Let t(i) = 3*n(i) - 4*y(i). Factor t(f).
-3*(f - 23)*(f - 2)
Let g be 2 - (4/(16/12) + 1). Let v be 3/g + 1 - (0 + -1). Solve 1/2*h - 1/2*h**3 + 0 - v*h**2 + 1/2*h**4 = 0 for h.
-1, 0, 1
Factor 4*d**2 - 4*d**4 + 17*d**3 + 68*d - 48 + 11*d**3 - 48*d**3.
-4*(d - 1)**2*(d + 3)*(d + 4)
Let v(f) be the first derivative of f**4/26 + 8*f**3/39 + 3*f**2/13 + 66. Factor v(c).
2*c*(c + 1)*(c + 3)/13
Let p = -527 - -1585/3. Let 8/3 - p*b**3 + 4/3*b - 8/3*b**2 = 0. What is b?
-2, -1, 1
Let m(w) = w**3 + 3*w**2 - 2*w + 1. Let n(k) = 23*k**3 + 55*k**2 + 56*k + 9. Let v(c) = 3*m(c) + n(c). Factor v(l).
2*(l + 1)**2*(13*l + 6)
Let s(a) be the third derivative of a**8/13440 - a**7/420 + 3*a**5/20 - 20*a**2. Let h(u) be the third derivative of s(u). Factor h(o).
3*o*(o - 8)/2
Let u(f) = 4*f**3 - 41*f**2 - 88*f - 5. Let o(p) = -6*p**3 + 61*p**2 + 132*p + 7. Let r(n) = 5*o(n) + 7*u(n). Factor r(k).
-2*k*(k - 11)*(k + 2)
Let d(o) be the second derivative of o**4/48 + o**3/4 + 5*o**2/8 - 42*o. Solve d(w) = 0 for w.
-5, -1
Let x = 57 - 57. Let b(l) be the third derivative of -5*l**2 + x*l**4 + 1/1260*l**7 + 0*l + 1/36*l**3 - 1/180*l**5 + 0*l**6 + 0. Factor b(h).
(h - 1)**2*(h + 1)**2/6
Let q = -65188/175 + -537/175. Let t = q - -379. Find k such that -t*k - 12/7*k**2 + 3/7*k**4 + 6/7*k**3 + 0 = 0.
-2, 0, 2
Let w(o) = 36*o**2 + 139*o + 114. Let u(m) = -7*m**2 - 28*m - 23. Let d(r) = -11*u(r) - 2*w(r). Determine t, given that d(t) = 0.
-5, -1
Let x(n) be the second derivative of n**4/6 + n**3/6 - n**2/2 + 17*n. Let c be x(1). Find t such that 2/5*t + 1/5*t**c + 1/5 = 0.
-1
Let g(l) be the first derivative of -l**3/3 + l**2/2 + 4*l + 46. Let n be g(2). Factor -54/13*f**n - 18/13*f**4 + 0*f + 0 + 54/13*f**3 + 2/13*f**5.
2*f**2*(f - 3)**3/13
Let j(m) be the third derivative of -m**6/40 - 7*m**5/20 + m**4 + 2*m**2 - 229*m. Factor j(o).
-3*o*(o - 1)*(o + 8)
Let l be (-130)/2247*372*7/(-175). Let b = l - 2/535. Factor -4/7 + 0*y**2 - b*y + 2/7*y**3.
2*(y - 2)*(y + 1)**2/7
Suppose -17*q = -48*q. Suppose 73/7*i**3 + q + 45/7*i**4 + 32/7*i**2 + 4/7*i = 0. What is i?
-1, -2/5, -2/9, 0
Let i be (4608/(-132))/16*(-6)/36. Factor -i - 6/11*z + 4/11*z**2.
2*(z - 2)*(2*z + 1)/11
Suppose -2*u = -0*u - 50. Find a such that 0*a**3 - 35*a**4 + u*a**3 + 287*a**2 - 292*a**2 + 15*a**5 = 0.
0, 1/3, 1
Let f(v) = v**2 - 16*v + 19. Let d be f(15). Let w(q) = 9*q**2 + 5. Let a(r) = -8*r**2 - 4. Let l = -6 + 11. Let s(t) = d*w(t) + l*a(t). Factor s(g).
-4*g**2
Let r(s) be the first derivative of -s**4/2 - 78*s**3 - 4563*s**2 - 118638*s + 11. Factor r(u).
-2*(u + 39)**3
Let r(u) be the first derivative of -2*u**5/25 - u**4/2 - 16*u**3/15 - 4*u**2/5 + 78. Factor r(p).
-2*p*(p + 1)*(p + 2)**2/5
Suppose 4 = -4*c - 4. Let q(i) = -i. Let z(s) = 1787*s**2 - 892*s**2 - s - 1 - 894*s**2. Let h(t) = c*z(t) + 2*q(t). Suppose h(f) = 0. What is f?
-1, 1
Let o(l) = 17*l**4 - 9*l**3 + 6*l - 6. Let q(t) = -155*t**4 + 80*t**3 - 55*t + 55. Let z(g) = 55*o(g) + 6*q(g). Suppose z(h) = 0. Calculate h.
0, 3
Let a(g) be the third derivative of -g**8/1008 - g**7/90 - g**6/72 + 7*g**5/180 + g**4/12 - 5*g**2 - 39*g. Find z, given that a(z) = 0.
-6, -1, 0, 1
Let t(w) be the second derivative of 0 + 18*w - 5*w**2 + 5/12*w**4 + 5/6*w**3. Factor t(c).
5*(c - 1)*(c + 2)
Suppose -2*m + 10 = 3*o, -m + 0*o + 5 = -5*o. Factor 14*h**4 + 10*h**3 + 21*h**4 - 35*h**4 - 5*h - 5*h**m.
-5*h*(h - 1)**2*(h + 1)**2
Let k(j) = -j**2 + 3*j - 1. Let o be k(2). Let c be (-2 - o - -2)/(4/(-14)). Let 25/2*w**2 - 8*w + c*w**4 + 2 - 1/2*w**5 - 19/2*w**3 = 0. Calculate w.
1, 2
Let l be 4*4/8 + 0. Find f, given that f - f**4 - f**2 - 2*f**2 + 0*f**l + 3*f**3 = 0.
0, 1
Let u = 1366 + -1360. Let t(z) be the first derivative of -5/12*z**6 + 0*z**2 - 1/3*z**3 + u + 0*z + 1/5*z**5 + 5/8*z**4. Determine w so that t(w) = 0.
-1, 0, 2/5, 1
Let w(k) = 2*k**4 - 2*k**3 - 2*k**2 - 2*k. Let f(s) = -2*s**4 + s**3 + 3*s**2 + 3*s. Suppose 0 = 12*t + 13 - 49. Let h(a) = t*w(a) + 2*f(a). Factor h(u).
2*u**3*(u - 2)
Factor -44/7*a**2 - 4/7*a**4 - 16/7*a - 36/7*a**3 + 4/7*a**5 + 0.
4*a*(a - 4)*(a + 1)**3/7
Let i(y) be the second derivative of y**4/36 + 7*y**3/6 + 10*y**2/3 - 31*y. Determine g so that i(g) = 0.
-20, -1
Factor 15*u**4 + 9/2*u - 51/2*u**3 + 0 + 6*u**2.
3*u*(u - 1)**2*(10*u + 3)/2
Suppose 0 = 22*a - 21*a + 7. Let q(s) = -s**2 - 16*s + 8. Let r(y) = 7*y + 31*y - 17 + y**2 - 7*y. Let z(c) = a*q(c) - 4*r(c). What is u in z(u) = 0?
2
Find r, given that -9*r**4 + 3/2*r**5 + 21/2*r + 0 + 9*r**2 - 12*r**3 = 0.
-1, 0, 1, 7
Let p = 98 - 77. Suppose -p*t + 23*t - 4 = 0. Factor -4/7 - 2/7*s**3 - 10/7*s - 8/7*s**t.
-2*(s + 1)**2*(s + 2)/7
Let t(l) be the second derivative of -l**5/20 - l**4/3 + 7*l**3/6 + 5*l**2 + 5*l - 8. Solve t(i) = 0.
-5, -1, 2
Factor -16*v**2 + 3*v**2 + 45*v + 6*v**2 + 70 + 12*v**2.
5*(v + 2)*(v + 7)
Let v(n) = n**2 + 5*n - 1. Let c be v(-9). Let l be 7*(40/c)/4. Factor -1/2*u**l + u - 1/2.
-(u - 1)**2/2
Let l(k) be the third derivative of -1/90*k**6 - 2/105*k**7 + 1/8*k**4 + 0 + 0*k + 1/18*k**5 + 1/9*k**3 - 5/1008*k**8 + 19*k**2. Let l(q) = 0. Calculate q.
-1, -2/5, 1
Factor -m**4 + 57*m**3 - 132*m**2 + 39*m**3 + 24*m**3 - 20*m**4 - 3*m**5.
-3*m**2*(m - 2)**2*(m + 11)
Suppose -8/3*x**4 - 236/3*x**2 - 80/3 + 232/3*x + 94/3*x**3 - 2/3*x**5 = 0. Calculate x.
-10, 1, 2
Let y(f) be the second derivative of -f**4/4 + 107*f**3 - 34347*f**2/2 + 2*f + 81. Factor y(c).
-3*(c - 107)**2
Let h be 2*-2 + 24/((-1920)/(-820)). Find v such that -5/4*v**2 - h*v - 5 = 0.
-4, -1
Let i(y) be the second derivative of -9*y**5/100