 j(0). Factor 0 + 0*h**s - 2/3*h + 2/3*h**3.
2*h*(h - 1)*(h + 1)/3
Suppose -11 + 24*o - 6*o**2 - 5 - 10*o**3 + 8 = 0. Calculate o.
-2, 2/5, 1
Factor -4*a**2 - 2*a**2 - 2*a**3 + 2*a**2 + 2*a**4.
2*a**2*(a - 2)*(a + 1)
Factor -14*r**2 - r**4 + 3*r**2 + 5*r**4 - 8*r - r**2.
4*r*(r - 2)*(r + 1)**2
Let n = -9 - -11. Suppose n + 0 = m. Factor -4/7 - 10/7*t**m - 2*t.
-2*(t + 1)*(5*t + 2)/7
Let w(k) = -5*k**3 + 2*k**2 + 2*k - 14. Let g(n) = n**3 - n + 1. Let i(j) = j - 8. Let a be i(14). Let y(r) = a*g(r) + w(r). Determine o so that y(o) = 0.
-2, 2
Solve 0*d + 0*d**3 + 0*d**2 + 1/5*d**4 + 0 = 0 for d.
0
Suppose -7 + 1 = -3*j. Factor -j*d**2 + 5*d - 4*d + 5*d - 4*d.
-2*d*(d - 1)
Let n(p) = p + 3. Let k be n(-9). Let g = 6 + k. What is j in 2/3 + g*j - 4/3*j**3 + 2*j**4 + 4/3*j**5 - 8/3*j**2 = 0?
-1, 1/2, 1
Determine g so that -4/5*g + 0 - 2/5*g**2 = 0.
-2, 0
Let 0 - 6*c**2 - 2*c - 1 + 5*c**2 = 0. What is c?
-1
Suppose 4*i = 11 + 5. Factor 2*n**4 + n - 5*n + 5 - 7 + i*n**3.
2*(n - 1)*(n + 1)**3
Let x(m) be the third derivative of m**7/945 - m**6/270 + m**4/54 - m**3/27 - m**2 - 1. Factor x(r).
2*(r - 1)**3*(r + 1)/9
Let z(s) be the first derivative of -s**8/448 + 3*s**6/160 - s**5/40 + 3*s**2/2 + 1. Let o(w) be the second derivative of z(w). Factor o(r).
-3*r**2*(r - 1)**2*(r + 2)/4
Suppose b + 5 = 6*b. Let y be (-36)/(-10) + b + -3. Solve 2*m**3 + y*m**4 + 0 + 2/5*m**2 + 0*m = 0.
-1, -1/4, 0
Let t(g) be the third derivative of -g**8/56 + 8*g**7/105 - g**6/15 - g**5/5 + 7*g**4/12 - 2*g**3/3 + 12*g**2. What is d in t(d) = 0?
-1, 2/3, 1
Let 2/15 + 2/15*f**2 - 4/15*f = 0. What is f?
1
Let s = -206 + 620/3. What is p in -40/3*p - 14/3*p**3 + 16/3 + s*p**4 + 12*p**2 = 0?
1, 2
Let p(n) be the first derivative of n**4/66 + 4*n**3/33 + 4*n**2/11 - 3*n - 3. Let s(r) be the first derivative of p(r). Factor s(t).
2*(t + 2)**2/11
Let z(s) be the first derivative of 3*s**5/5 + 3*s**4/2 - s**3 - 3*s**2 - 46. Solve z(b) = 0 for b.
-2, -1, 0, 1
Let l(a) = -11*a**4 + 17*a**3 + 11*a**2 - 17*a. Let p(d) = -17*d**4 + 26*d**3 + 17*d**2 - 26*d. Let x(h) = 8*l(h) - 5*p(h). Factor x(q).
-3*q*(q - 2)*(q - 1)*(q + 1)
Let i(t) be the second derivative of t**7/6300 - t**6/600 + t**5/150 - t**4/4 - 2*t. Let s(q) be the third derivative of i(q). What is c in s(c) = 0?
1, 2
Let a(j) = -j**4 + j**3 - 4*j - 4. Suppose 3*t - 14 + 2 = 0. Let v(k) = 2*k**4 - 2*k**3 + 7*k + 7. Let o(i) = t*v(i) + 7*a(i). Determine b, given that o(b) = 0.
0, 1
Suppose -3*n + 8*n + b + 33 = 0, -n - 2*b = 12. Let h be (4/n)/(4/(-18)). Determine v, given that -3*v**3 + v**h - 4*v**4 + 5*v**4 = 0.
0, 2
Let w(t) be the first derivative of 1 - 1/2*t**4 + 0*t**2 + 0*t**3 + 0*t. Factor w(p).
-2*p**3
Let d(y) = 12*y**2 - y - 1. Let q be d(2). Let n be (-12)/q + (-8)/(-12). Factor -8/5 - 8/5*h - n*h**2.
-2*(h + 2)**2/5
Let c be 1/2 + (-6)/(-4). Suppose 0 = 5*f + 3*z + 7 + c, f = z + 3. Factor 2/3*b**2 + f - 2/3*b.
2*b*(b - 1)/3
Let x = 359 - 357. Factor 9/5*s**x + 0 + 6/5*s + 0*s**3 - 3/5*s**4.
-3*s*(s - 2)*(s + 1)**2/5
Let u(n) be the second derivative of 1/36*n**4 + 3/2*n**2 - 9*n - 1/3*n**3 + 0. Factor u(w).
(w - 3)**2/3
Let t(z) be the second derivative of z**7/126 + z**6/90 - z**5/12 + z**4/12 + 5*z - 4. Factor t(r).
r**2*(r - 1)**2*(r + 3)/3
Let f = 115 + -112. Let -9/2*b**5 - 9/2*b - 3 + 6*b**2 - 3*b**4 + 9*b**f = 0. What is b?
-1, -2/3, 1
Suppose -55 = -19*s + 2. Factor s - 3*w**2 + 3/2*w - 3/2*w**3.
-3*(w - 1)*(w + 1)*(w + 2)/2
Let -10/3*r - 22/9*r**3 - 4/9 - 16/3*r**2 = 0. Calculate r.
-1, -2/11
Let x(b) = 6*b**4 - 9*b**3 + 6*b**2. Let l(g) = 5*g**4 - 8*g**3 + 5*g**2. Let q(n) = 3*l(n) - 2*x(n). Factor q(y).
3*y**2*(y - 1)**2
Let v = -25468 + 3820253/150. Let y = v - 1/50. Factor -1/3 + y*q**3 + q - q**2.
(q - 1)**3/3
Let g(d) be the first derivative of d**6/3 + 12*d**5/5 + 13*d**4/2 + 8*d**3 + 4*d**2 - 6. Factor g(t).
2*t*(t + 1)**2*(t + 2)**2
Factor 0*i**2 + 0*i - 3/2*i**3 + 0 - 1/2*i**4.
-i**3*(i + 3)/2
Let r(h) be the first derivative of h**6/8 + 3*h**5/10 - h**3/2 - 3*h**2/8 - 6. Factor r(t).
3*t*(t - 1)*(t + 1)**3/4
Suppose 5*g + 5 = z, -5*g - 5 = -z + 3*z. Suppose z = -j + 3*j - 2. What is r in -j - 1/2*r + 1/2*r**2 = 0?
-1, 2
Determine h so that 10*h**2 + 5*h**5 + 20*h - 1121*h**4 + 1111*h**4 + 10*h**2 - 15*h**3 = 0.
-1, 0, 2
Let r(v) = -9*v**3 + 15*v**2 - 3*v - 3. Let h(t) = 1 + 31*t**2 - 7 - 1 - 19*t**3 - 5*t. Let d(w) = 4*h(w) - 9*r(w). Find s, given that d(s) = 0.
1/5, 1
Let y be (-3)/(-12) - 1/4. Let q = -144 + 144. Factor 0*d**3 + 0*d**4 + 1/2*d**5 + q + y*d**2 + 0*d.
d**5/2
Let n = 3 - -1. Solve -10*g + 42*g**3 + 7*g**2 - 4 + 6*g + 13*g**2 - 36*g**n - 18*g = 0.
-2/3, -1/6, 1
Let a = 13/2 - 6. Solve a*l + l**2 - 1/2*l**3 - 1 = 0 for l.
-1, 1, 2
Let s(i) be the second derivative of i**5/60 + 5*i**4/36 + 2*i**3/9 - 9*i - 2. Factor s(d).
d*(d + 1)*(d + 4)/3
Let k(s) be the first derivative of -s**7/70 + s**6/24 - 7*s**5/180 + s**4/72 + 5*s**2/2 + 1. Let x(v) be the second derivative of k(v). Factor x(o).
-o*(o - 1)*(3*o - 1)**2/3
Let u(k) be the second derivative of -k**5/50 + k**3/5 - 2*k**2/5 + 9*k. Find c such that u(c) = 0.
-2, 1
Let i(x) be the third derivative of x**9/45360 + x**8/10080 + x**7/7560 - x**4/8 - 2*x**2. Let c(l) be the second derivative of i(l). Let c(a) = 0. Calculate a.
-1, 0
Find s, given that 3*s**5 - 10*s**2 - 3*s**2 - 3*s**4 + 13*s**2 = 0.
0, 1
Let x be ((-2)/(-25))/(13/65). Factor x*w**4 - 6/5*w**2 + 8/5 - 4/5*w**3 + 8/5*w.
2*(w - 2)**2*(w + 1)**2/5
Let p = 2465/142 + 10/71. Let o(u) be the first derivative of 8/3*u**3 - 4*u**2 + 0*u + p*u**4 - 1. Factor o(l).
2*l*(5*l + 2)*(7*l - 2)
Let x = 4 + 1. Let g = 1 + x. Solve -g*t**4 + t**4 + 2*t**2 + 3*t**4 = 0.
-1, 0, 1
Let r be -3 - (1 - 8/2). Factor 0*d**2 + r*d**4 + 0*d + 0 + 1/2*d**3 - 1/2*d**5.
-d**3*(d - 1)*(d + 1)/2
Let c(x) be the second derivative of 0 + 2*x + 0*x**2 + 3/40*x**5 + 3/20*x**6 + 0*x**3 - 1/4*x**4. Factor c(t).
3*t**2*(t + 1)*(3*t - 2)/2
Let z be 694/(-40) - (-40)/(-10). Let h = z - -87/4. Solve 4/5*k**3 + 2/5*k**2 + 0 + h*k**4 + 0*k = 0.
-1, 0
Let i(p) be the second derivative of -8*p**7/27 - 4*p**6/45 + 13*p**5/36 - 7*p**4/36 + p**3/27 - 9*p. Determine d so that i(d) = 0.
-1, 0, 1/4, 2/7
Let o be (1/(-10))/((-2)/15). Let j be (-33)/(-36)*4 - (-4)/(-6). Determine x, given that o*x**2 + 3/2 + 21/4*x - 15/2*x**j = 0.
-1/2, -2/5, 1
Let x = 14/107 + -7243/56175. Let j(k) be the third derivative of k**2 + 0*k**5 - 1/300*k**6 + 0*k**4 + 0 + x*k**7 + 0*k + 0*k**3. Factor j(z).
2*z**3*(z - 1)/5
Let s(h) be the second derivative of 1/100*h**5 + 0 + 2/15*h**4 + 2/15*h**3 + 2*h + 0*h**2 - 1/50*h**6. Determine b so that s(b) = 0.
-1, -2/3, 0, 2
Determine p so that -4*p**3 - 5*p**4 + 2 - 11*p**3 + 15*p + 8 - 5*p**2 = 0.
-2, -1, 1
Factor 18*r**2 + 253*r**3 + 234*r**3 + 2*r**4 - 475*r**3.
2*r**2*(r + 3)**2
Let s(v) = v**4 + 4*v**3 - 5*v**2 + 4*v - 4. Let c(x) = -5*x**4 - 25*x**3 + 30*x**2 - 25*x + 25. Let q(t) = 4*c(t) + 25*s(t). Let q(u) = 0. What is u?
-1, 0, 1
Let r be (1 - 8)*(-10)/35. Find y, given that 2*y**3 - y**3 - 2*y - 4*y**3 + r*y**3 + 3*y**2 = 0.
0, 1, 2
Let o(q) = 8*q**3 + 3*q + 11. Let d(p) = -3*p**3 - p - 4. Suppose 4*c - 49 - 47 = 0. Let j = c + -13. Let z(v) = j*d(v) + 4*o(v). Factor z(a).
-a*(a - 1)*(a + 1)
Let l(d) be the third derivative of -d**7/42 + d**6/6 - d**5/4 - 5*d**4/6 + 10*d**3/3 - 10*d**2. Factor l(q).
-5*(q - 2)**2*(q - 1)*(q + 1)
Let c(i) be the third derivative of i**6/12 - 17*i**5/30 - 7*i**4/6 + 8*i**3/3 + 7*i**2. Suppose c(z) = 0. Calculate z.
-1, 2/5, 4
Let y(f) be the first derivative of 4*f**3 - 2*f**2 - 33. Factor y(t).
4*t*(3*t - 1)
Let f(r) = -6*r**3 - 13*r**2 + 31*r + 25. Let n(b) = 3*b**3 + 6*b**2 - 15*b - 12. Let p(y) = 6*f(y) + 13*n(y). Factor p(j).
3*(j - 2)*(j + 1)**2
Let g(w) be the first derivative of -w**6/60 + w**5/20 - w**4/24 - 2*w - 3. Let i(v) be the first derivative of g(v). Factor i(c).
-c**2*(c - 1)**2/2
Let k = -781/12 - -263/4. Factor -k*m**3 + 0*m**4 + 0*m + 2/3*m**5 + 0*m**2 + 0.
2*m**3*(m - 1)*(m + 1)/3
Let r(u) be the first derivative of -u**6/15 + 2*u**5/25 + u**4/5 - 4*u**3/15 - u**2/5 + 2*u/5 + 4. Factor r(x).
-2*(x - 1)**3*(x + 1)**2/5
Let a = -2 - -5. Suppose 51*m**4 + 24*m**3 + 66*m**2 + 12*m**5 + a + 9*m + 15*m + 60*m**3 = 0. What is m?
-1