 Let k(t) = -4*t**3 - 8*t - 3. Let d(j) = -4*k(j) + 5*n(j). Let d(o) = 0. What is o?
-2, 1
Let h(d) = -d**2 - 1. Let k(u) = -5 - 10*u + 5*u**4 - 29*u**3 - 20*u**2 + 29*u**3. Let o(n) = 5*h(n) - k(n). Factor o(t).
-5*t*(t - 2)*(t + 1)**2
Factor -5832*f + 710*f**2 - 120*f**3 - 253*f**2 + 8748 + 702*f**2 + 186*f**2 + 4*f**4 - 49*f**2.
4*(f - 9)**3*(f - 3)
Let s = 4 + 5. Let z be s/(1*(0 - -1)). Factor 8 - z - 2*f + 10*f + 17 + f**2.
(f + 4)**2
What is v in -2/11*v**4 - 10*v**2 - 58/11*v**3 - 54/11*v + 0 = 0?
-27, -1, 0
Let v = -1891 - -7569/4. Factor -1/2 + v*f**2 - 3/4*f.
(f - 1)*(5*f + 2)/4
Let v(t) be the second derivative of t**7/168 - t**6/12 + t**5/20 + 95*t**4/24 - 325*t**3/24 - 125*t**2/2 - 23*t - 4. Factor v(f).
(f - 5)**3*(f + 1)*(f + 4)/4
Let p(x) = -5*x**3 - x**2 + 4*x + 6. Let f(k) = -k**3 + k - 7*k**2 + 7*k**2 + 1. Let m = 2 - 1. Let b(y) = m*p(y) - 6*f(y). Factor b(c).
c*(c - 2)*(c + 1)
Let z(g) be the second derivative of -2/5*g**3 + 0 + 0*g**6 + 11*g - 6/25*g**5 + 2/105*g**7 + 0*g**2 - 8/15*g**4. Solve z(s) = 0.
-1, 0, 3
Suppose -4*o - 37 - 7 = 0. Let m(x) = -x**3 - 10*x**2 + 10*x - 8. Let t be m(o). Factor 1/3*s**4 + 1/3*s**5 + 0 - 1/3*s**2 - 1/3*s**t + 0*s.
s**2*(s - 1)*(s + 1)**2/3
Let v = 108/197 - -70/591. Find m, given that -1/2*m - 1/6*m**3 - v*m**2 + 0 = 0.
-3, -1, 0
Let p be 4 + (-22)/12 - (-21)/((-84)/8). Determine y so that 0*y**2 + p*y - 1/3*y**3 + 0*y**4 + 1/6*y**5 + 0 = 0.
-1, 0, 1
Let w(k) be the third derivative of -k**8/336 - 4*k**7/105 + k**6/40 + 13*k**5/30 + 2*k**4/3 + 10*k**2. Suppose w(b) = 0. Calculate b.
-8, -1, 0, 2
Determine n so that 9/5*n**2 - 3/5*n**4 + 24/5*n - 6/5*n**3 + 12/5 = 0.
-2, -1, 2
Let z(b) = b + 24. Let r be z(-7). Let c = 20 - r. Determine l, given that -12*l**2 - 4*l**c - 2*l + 12*l**4 - 2 + 6*l + 2 = 0.
-1, 0, 1/3, 1
Let x(d) be the third derivative of -d**6/60 - 23*d**5/330 - 13*d**4/132 - d**3/33 - 765*d**2. What is w in x(w) = 0?
-1, -1/11
Let b = -4 - 5. Let o be (b/12 + 0)/(30/(-16)). Factor 1/5*i + o - 1/5*i**2.
-(i - 2)*(i + 1)/5
Let d(w) = 61*w - 59. Let b be d(1). Let n(s) be the third derivative of -1/80*s**5 + 6*s**2 + 0*s + 0 - 1/4*s**4 - b*s**3. Factor n(i).
-3*(i + 4)**2/4
Let k(z) be the first derivative of 5*z**6/6 - 7*z**5 + 55*z**4/4 - 25*z**3/3 + 159. Factor k(d).
5*d**2*(d - 5)*(d - 1)**2
Let w = 163 - 163. Let m(u) be the second derivative of 3*u - 1/20*u**5 + w + 0*u**2 + 1/6*u**3 - 1/12*u**4 + 1/30*u**6. Factor m(b).
b*(b - 1)**2*(b + 1)
Suppose 5*f + 19*q - 15*q = -28, f + 12 = -4*q. Let j be 32/(-24)*6/f. Factor 1 - 1/4*v**j + 0*v.
-(v - 2)*(v + 2)/4
Let x be (-2 - -7) + (-2)/(2/(-2)). What is y in 8*y**5 - 6*y**3 + y**5 - x*y**5 - 3*y**2 - y**2 = 0?
-1, 0, 2
Let m(f) be the first derivative of 4*f**5/5 - 4*f**4 - 19. Factor m(b).
4*b**3*(b - 4)
Let x(n) be the first derivative of 3*n**4 + 8/3*n**3 + 1/3*n**6 + 8/5*n**5 + n**2 + 0*n + 27. Determine o so that x(o) = 0.
-1, 0
Let w(i) = -6*i**2 - 15*i**3 + 5 + 4 + 0*i**2. Let o(p) = -7*p**3 - 3*p**2 + 4. Let h(q) = 9*o(q) - 4*w(q). Factor h(x).
-3*x**2*(x + 1)
Suppose 6*q - 20*q + 42 = 0. Let x(y) be the first derivative of 1/6*y**q + 0*y + 3/4*y**2 - 1. Factor x(o).
o*(o + 3)/2
Let n(r) be the second derivative of 7*r**6/10 + 219*r**5/20 + 31*r**4 - 174*r**3 + 216*r**2 - 54*r + 3. Let n(j) = 0. Calculate j.
-6, 4/7, 1
Let q(y) be the first derivative of y**4/36 - 5*y**3/27 + y**2/6 + y + 42. Let q(n) = 0. What is n?
-1, 3
Let j(s) = 5*s. Let n be j(2). Suppose 5*c + 7*g + n = 3*g, 4*c - 2*g - 18 = 0. Factor 5*v**3 + c*v**2 + 4*v**2 + 3*v**3 - 11*v**3.
-3*v**2*(v - 2)
Let x be 3042/72*(-1 - -5). Let l = -169 + x. Determine r, given that 1/2*r**2 + 1/4*r**3 + l + 1/4*r = 0.
-1, 0
Suppose 0 = 5*u - 5*v + 830, -2*u + 5*v - 2*v = 328. Let s be -5 - (5 + u/15). What is l in -2/3*l**5 - s*l**2 + 0 + 2/3*l + 0*l**3 + 4/3*l**4 = 0?
-1, 0, 1
Let s be 48/10*90/27. Suppose 5*x = -u - u + s, -2*u - 20 = -4*x. Factor -4*z**2 - z**4 + 1 + x*z**3 - 1.
-z**2*(z - 2)**2
Let q(s) be the third derivative of 9*s**2 - 1/525*s**7 + 0 + 0*s**3 + 1/840*s**8 + 0*s**4 - 1/300*s**6 + 1/150*s**5 + 0*s. Find l such that q(l) = 0.
-1, 0, 1
Let p(s) = 3*s**4 - 3*s**3 + 3*s**2 + 11*s - 2. Let u(n) = n**4 + n**2 + 2*n - 1. Let k(z) = p(z) - 4*u(z). Find o, given that k(o) = 0.
-2, -1, 1
Suppose 0 = -4*j - j - 3*b + 338, 4*j - 265 = 3*b. Let u = j + -46. Factor -16*w**2 - 16*w + 4*w**5 - 10*w**3 + 22*w**3 + u*w**4 - 5*w**4.
4*w*(w - 1)*(w + 1)*(w + 2)**2
Let d be ((-1)/2)/((6/28)/(-3)). Find b such that 14*b - 39*b - 15*b**2 + 17*b**2 - d*b**2 = 0.
-5, 0
Let o(u) = 2*u**2 - 53*u + 395. Let q(m) = m + 1. Let r be 6 - (-1 - -2) - (-2)/(-1). Let y(f) = r*q(f) - o(f). Factor y(a).
-2*(a - 14)**2
Let h(q) = -q**3 + q**2 + 27*q - 17. Let t(z) = 2*z**3 - 2*z**2 - 55*z + 30. Let l(u) = -10*h(u) - 4*t(u). Factor l(r).
2*(r - 5)*(r - 1)*(r + 5)
Determine n so that 0 + 8/9*n**2 - 58/9*n**4 + 14/3*n**5 + 8/9*n**3 + 0*n = 0.
-2/7, 0, 2/3, 1
Let p(w) = -4*w**3 + 0*w**2 + w**2 + w + 0*w + 1. Let o be p(-1). Solve -4*v**4 + 4*v**3 + 10*v**4 - 3*v**2 + 3*v**2 - 10*v**o = 0 for v.
-2/5, 0, 1
Let b(y) = 2*y - 15. Let j be b(12). Suppose j = 4*l - l. Factor -5*s**4 + l*s**4 - 5*s**2 + s**2 - 6*s**3.
-2*s**2*(s + 1)*(s + 2)
Find t such that -39 + 17*t + 3*t**2 + 38 - 32*t + 64 - 51*t = 0.
1, 21
Let i = 898 + -895. Let c(w) be the third derivative of -1/240*w**6 + 0 + 0*w**5 - w**2 + 1/48*w**4 - 1/840*w**7 + 1/24*w**i + 0*w. Factor c(t).
-(t - 1)*(t + 1)**3/4
Suppose 17*d = 24*d - 35. Suppose 16*t = -d*x + 15*t + 19, 0 = 3*x + 3*t - 9. Factor 4/9*o**3 + 0*o - 2/9*o**x - 2/9*o**2 + 0.
-2*o**2*(o - 1)**2/9
Suppose 4*c + 8 = 36. Factor 2*t**4 - 72*t**2 - c*t - 4*t**4 + 103*t - 48 - t**4 + 24*t**3.
-3*(t - 2)**4
Suppose -z - 6*z = -28. Find g, given that -3 - g**4 + 6*g + 4*g**z - 8*g**3 - 2*g**3 + 4*g**3 = 0.
-1, 1
Solve 8*p**2 + 2*p**2 + 5*p**2 + 69*p**3 - 21*p - 6*p**4 + 9*p - 48*p**3 = 0 for p.
-1, 0, 1/2, 4
Let l(h) be the second derivative of -3*h**5/40 + 27*h**4/4 - 195*h**3 + 1014*h**2 - 176*h. Let l(w) = 0. Calculate w.
2, 26
Let i(o) = 12*o**3 - 540*o**2 - 18*o + 9. Let v(k) = -3*k**3 + 135*k**2 + 4*k - 2. Let p(n) = -2*i(n) - 9*v(n). Factor p(y).
3*y**2*(y - 45)
Let a = -206 + 620/3. Let d(j) be the second derivative of 0 + 0*j**2 + 1/21*j**7 + 3/5*j**5 + 1/3*j**3 + a*j**4 + j + 4/15*j**6. Solve d(m) = 0.
-1, 0
Let v = -20951/6 + 3492. Factor -v - 1/6*f**2 + 1/3*f.
-(f - 1)**2/6
Let d(l) be the third derivative of -l**9/1512 - l**8/420 - l**7/420 + 22*l**3/3 - 40*l**2. Let s(n) be the first derivative of d(n). Factor s(g).
-2*g**3*(g + 1)**2
Suppose 2*p - 45 = 13. Let a = p + -27. Let 2/7*g**a - 8/7*g + 6/7 = 0. What is g?
1, 3
Solve 30/7*t - 2/7*t**2 - 88/7 = 0.
4, 11
Let y(q) be the first derivative of -q**3/12 - q**2 - 3*q - 17. Suppose y(u) = 0. Calculate u.
-6, -2
Suppose 6*w**3 + 204*w**2 - 3*w**3 - 186*w**2 = 0. Calculate w.
-6, 0
Factor -5*b**4 + 8*b**4 + 6*b**3 - 4*b**4 - 2*b**4 + 2*b + 6*b**2 + 5*b**4.
2*b*(b + 1)**3
Let u(j) be the second derivative of -2*j**6/135 + 8*j**4/27 - 32*j**2/9 + 276*j. Factor u(w).
-4*(w - 2)**2*(w + 2)**2/9
Let x(j) be the second derivative of 5*j**4/12 + 55*j**3/6 + 45*j**2 - 87*j. Factor x(p).
5*(p + 2)*(p + 9)
Let h(x) be the second derivative of x**7/63 - 2*x**6/45 + x**4/9 - x**3/9 + x - 42. Factor h(o).
2*o*(o - 1)**3*(o + 1)/3
Let i = -9 - -18. What is h in i*h - 19 + 25 - 3*h**3 + 0*h**3 = 0?
-1, 2
Let h(p) be the third derivative of p**9/5040 + p**8/448 + p**7/105 + p**6/60 - 7*p**4/6 - 6*p**2. Let d(t) be the second derivative of h(t). Factor d(w).
3*w*(w + 1)*(w + 2)**2
Let j(h) = -h**3 + 8*h**2 + 108*h - 612. Let q be j(5). Solve q*a**2 + 24/5*a + 12/5 + 3/5*a**3 = 0.
-2, -1
Suppose 32*m**3 - 262*m**2 - 5*m**4 - 12*m**3 - 30*m + 257*m**2 = 0. What is m?
-1, 0, 2, 3
Let y(z) be the second derivative of -5/6*z**4 + 6*z + 0*z**2 + 1/15*z**6 + 0 - 1/5*z**5 + 2*z**3. Factor y(b).
2*b*(b - 3)*(b - 1)*(b + 2)
Let k be (0 - 3/6)/((-41)/246). Let f(b) be the first derivative of -5/2*b**4 + 0*b**2 + 7 - 5/3*b**k - b**5 + 0*b. Determine h, given that f(h) = 0.
-1, 0
Factor 25*n - 49/2 - 1/2*n**2.
-(n - 49)*(n - 1)/2
Let v(t) = 4*t**2 + 37*t - 654. Let q be v(9). Determine g so that 0*g + 12/5*g**2 + 0 + 3/5*g**4 + 12