 - 25*v**4/24 + 5*v**3 + 18*v**2. Factor m(g).
5*(g - 3)*(g - 2)
Find w such that 1/6*w**2 + 0 - 1/3*w = 0.
0, 2
Suppose -h - 2*k - 2*k = 14, -k = 2*h. Let p(s) be the first derivative of -1/7*s**h - 2 + 1/7*s**4 - 2/35*s**5 + 4/21*s**3 - 1/21*s**6 - 2/7*s. Factor p(n).
-2*(n - 1)**2*(n + 1)**3/7
Factor -41 + 44*m**2 + 41 + 8*m.
4*m*(11*m + 2)
Determine v, given that -40*v - 12/5*v**4 - 76*v**2 + 0 - 128/5*v**3 = 0.
-5, -2/3, 0
Factor -1/4*q**2 - 5/4 - 3/2*q.
-(q + 1)*(q + 5)/4
Let t(y) = -y**3 + 4*y**2 - 1. Let k be t(4). Let u be (2/3)/k*-3. Let 1/4*h + 3/4*h**5 + 3/2*h**u + 0 + 5/2*h**4 + 3*h**3 = 0. What is h?
-1, -1/3, 0
Let m(t) = 2*t**3 - 2*t**2 + t + 2. Let s(z) = -3*z**3 + 3*z**2 - 2*z - 3. Let c(w) = 10*m(w) + 6*s(w). Suppose c(g) = 0. Calculate g.
-1, 1
Let b(m) = -4*m**2 - 8*m + 3. Let s(j) = -9*j**2 - 15*j + 7. Let r(f) = -7*b(f) + 3*s(f). Determine u, given that r(u) = 0.
-11, 0
Let h be 2/18*9 - -1*2. Solve -4/3 - 14/3*u**h - 6*u**4 + 14/3*u + 22/3*u**2 = 0 for u.
-1, 2/9, 1
Suppose 5*n = 3*d + 2, 0 = n + 2*d - 0*d - 3. Let l = n + 2. Factor y**4 - l*y**4 + 2*y**2 + 2*y**2 - 2.
-2*(y - 1)**2*(y + 1)**2
Let w be (-40)/(-16) + 2/(-4). Let l(y) be the first derivative of -3/4*y**4 + 0*y**2 - w - 1/6*y**6 + 0*y + 1/3*y**3 + 3/5*y**5. Suppose l(m) = 0. What is m?
0, 1
Determine o, given that -18*o - 3*o**3 + 12 - 9*o - 2422*o**2 + 2440*o**2 = 0.
1, 4
Factor -1/2*g**3 - g - 4 + 5/2*g**2.
-(g - 4)*(g - 2)*(g + 1)/2
Let t be 216/(-2700) + (-77)/(-25). Determine r, given that -1/4*r**2 + 0*r - 1/4*r**t + 0 = 0.
-1, 0
Factor 0 + 1/3*u**3 + 0*u + 1/3*u**2.
u**2*(u + 1)/3
Determine s, given that 32/7*s + 16/7*s**4 + 76/7*s**3 + 108/7*s**2 - 16/7 = 0.
-2, -1, 1/4
Let 0*t**2 - t**4 + 24 - 6*t + 3*t - t**2 - 22 + 3*t**3 = 0. Calculate t.
-1, 1, 2
Let u(w) be the second derivative of 3*w**5/20 - 3*w**4/4 + 3*w**3/2 - 3*w**2/2 - 6*w. Factor u(z).
3*(z - 1)**3
Let s(u) be the first derivative of u**5/180 + u**4/36 + 2*u**2 + 2. Let l(b) be the second derivative of s(b). Factor l(t).
t*(t + 2)/3
Let p(k) be the first derivative of -8/9*k**3 - 2/3*k + 1/18*k**6 - 1/6*k**4 + 4 + 2/15*k**5 - 7/6*k**2. Factor p(w).
(w - 2)*(w + 1)**4/3
Let -2/11*q**2 + 20/11*q - 50/11 = 0. What is q?
5
Let u(h) be the second derivative of -h**5/330 - h**4/44 - 2*h**3/33 - h**2 + 8*h. Let a(j) be the first derivative of u(j). Factor a(m).
-2*(m + 1)*(m + 2)/11
Let n(v) be the second derivative of -49*v**6/480 + 7*v**5/80 + v**4/4 + v**3/6 + 3*v**2/2 + 3*v. Let h(k) be the first derivative of n(k). Factor h(f).
-(f - 1)*(7*f + 2)**2/4
Find j, given that -6/7*j**2 + 6/7 + 3/7*j - 3/7*j**3 = 0.
-2, -1, 1
Let l(j) be the second derivative of -j**5/30 + j**4/6 + 7*j. Factor l(u).
-2*u**2*(u - 3)/3
Let i(h) be the first derivative of -h**3/3 + h**2/2 + 6*h - 6. Factor i(n).
-(n - 3)*(n + 2)
Let t be 8/4 + 1 - 1. Let y be (t/12)/(10/90). Factor -1/2*g**3 - 3/2*g - y*g**2 - 1/2.
-(g + 1)**3/2
Let x(g) = 4*g**2 - 20*g. Let f(b) = -2*b**2 + 10*b. Let t(w) = -5*f(w) - 2*x(w). What is s in t(s) = 0?
0, 5
Let s(a) = -5*a**2 + 6*a - 6. Let q be (-3)/4 + (-55)/(-4). Let b(g) = -11*g**2 + 13*g - 13. Let t(n) = q*s(n) - 6*b(n). Factor t(u).
u**2
Factor 1/5*w - 2/5*w**2 + 0.
-w*(2*w - 1)/5
Let s = 5 - 13/3. What is z in 4/9*z**3 + s*z**4 - 8/9*z**2 + 2/9 - 4/9*z = 0?
-1, 1/3, 1
Let v(n) be the third derivative of -n**6/200 - 3*n**5/50 - 9*n**4/40 - 2*n**3/5 + 6*n**2. Find b such that v(b) = 0.
-4, -1
Let f(x) be the first derivative of -2*x**3/45 + 6*x/5 + 30. Factor f(r).
-2*(r - 3)*(r + 3)/15
Let j = 1/13 + 1/156. Let v(o) be the third derivative of j*o**4 + 0*o - 1/60*o**6 + 3*o**2 + 0 - 1/3*o**3 + 1/30*o**5. Factor v(g).
-2*(g - 1)**2*(g + 1)
Suppose 4*z = -0 - 12. Let s be 4*((-6)/4)/z. Solve -2 - 15*i**4 + 11*i + 4 + s*i**4 + 11*i**2 - 7*i**3 - 4*i**5 = 0 for i.
-2, -1, -1/4, 1
Let s = 8 + -13. Let n be (-12)/s - 4/10. Let -h**n + h + 0*h + 0*h**2 = 0. Calculate h.
0, 1
Let o(l) be the first derivative of l**3 + 0*l + 3/2*l**2 - 3/4*l**4 - 3/5*l**5 + 3. Suppose o(q) = 0. Calculate q.
-1, 0, 1
Suppose -18 + 20 = 2*f. Let q(z) be the first derivative of -3*z - 1/4*z**3 - f + 3/2*z**2. Let q(v) = 0. What is v?
2
Let p be -1*10*(11 - 31/2). Factor 189/2*o**3 + 6*o + p*o**2 + 0 + 147/4*o**4.
3*o*(o + 2)*(7*o + 2)**2/4
Suppose b + 0*b = 4. Let s(f) be the first derivative of 1/9*f**6 + 2 + 1/6*f**b + 4/15*f**5 + 0*f**3 + 0*f + 0*f**2. Let s(g) = 0. What is g?
-1, 0
Let x = 93 + -90. Let r(q) be the second derivative of 5*q + 1/30*q**4 - 1/5*q**2 - 1/100*q**5 + 0 + 1/30*q**x. Solve r(p) = 0 for p.
-1, 1, 2
Let z be -10*(2/4)/(-1). Let f(q) be the first derivative of 2/3*q**3 + 0*q + 2/5*q**z + 0*q**2 - 3 - q**4. Factor f(o).
2*o**2*(o - 1)**2
Let k = 85/423 - -1/47. Solve -2/9*f + 0 + k*f**3 + 0*f**2 = 0 for f.
-1, 0, 1
Let a = -5/14 - -1/2. Let w(n) be the first derivative of 2/21*n**3 + 3 + 0*n + a*n**2. Suppose w(v) = 0. What is v?
-1, 0
What is p in 3*p**2 + 9*p**3 - p**2 + 15*p**3 - 25*p**3 = 0?
0, 2
Let u(j) be the second derivative of -j**5/60 + j**4/18 - j**3/18 + 9*j. Factor u(l).
-l*(l - 1)**2/3
Let o(g) be the first derivative of -g**4/2 - 8*g**3/3 - 3*g**2 - 26. Let o(s) = 0. What is s?
-3, -1, 0
Let l(b) be the second derivative of b**5/10 + 2*b**4/7 + b**3/7 - 2*b**2/7 + 4*b. Determine m, given that l(m) = 0.
-1, 2/7
Factor 3*u**4 + 3/4*u**3 - 3/2*u**2 + 0*u - 9/4*u**5 + 0.
-3*u**2*(u - 1)**2*(3*u + 2)/4
Suppose -2*p = -p - 4. Suppose 3*t**3 + 0*t**p - 4*t**2 + 3*t**4 - 3*t + 13*t**2 - 12*t**3 = 0. What is t?
0, 1
Suppose -4*b + 9 = -11. Suppose 3*d + 4 = b*d. Solve 2*s**5 - 2*s**4 + 3*s**2 - 7*s**2 + 2*s - 6*s**4 + 12*s**3 - 4*s**d = 0 for s.
0, 1
Suppose 2/3*w + 4/3*w**2 - w**4 - 1/3 - 2/3*w**3 = 0. What is w?
-1, 1/3, 1
Let y = -26 - -21. Let a = -5 - y. Factor 2/5*m**2 - 2/5*m**5 + 6/5*m**4 + a*m + 0 - 6/5*m**3.
-2*m**2*(m - 1)**3/5
Let d(u) be the second derivative of 3/14*u**7 - 2*u + 0 - 5/2*u**4 + 3/2*u**3 + 23/10*u**5 - 11/10*u**6 - 1/2*u**2. Factor d(v).
(v - 1)**3*(3*v - 1)**2
Factor -6*j**2 + 5*j**3 - 2*j**3 + 0*j**3 + 3*j.
3*j*(j - 1)**2
Let n(p) = -12*p - 213. Let d be n(-18). Let x be (-2)/(-6) - (-1)/(-9). Find g such that 2*g**5 - x*g**2 + 0 - 2/3*g**4 - 10/9*g**d + 0*g = 0.
-1/3, 0, 1
Let i(t) be the second derivative of -t**6/75 - t**5/50 + t**4/30 + t**3/15 - 4*t. Solve i(j) = 0 for j.
-1, 0, 1
Let x(v) = 11*v - 319. Let w be x(29). Find z, given that -6/7*z**2 + 2/7*z + w + 4/7*z**3 = 0.
0, 1/2, 1
Let q(t) be the first derivative of 0*t + 3/2*t**4 - 4/5*t**5 - 4/3*t**3 + 1/6*t**6 - 3 + 1/2*t**2. Factor q(u).
u*(u - 1)**4
Determine y, given that 4 - 11*y**2 + 4*y + 4*y**2 + 4*y**2 - y**4 - 4*y**3 = 0.
-2, -1, 1
Let u = 4 - 6. Let c be -2*u*(-2)/(-8). Solve -c + 1/2*q**3 + 5/2*q**2 - 3/2*q**4 - 1/2*q = 0 for q.
-1, -2/3, 1
Let r = -4 + 4. Suppose 5*g - 20 = 12*h - 7*h, -2*g + 8 = 2*h. Factor 1/4*b**3 - 1/4*b**4 + r + 0*b + h*b**2.
-b**3*(b - 1)/4
Factor -6*t**3 + 3*t**2 + 0*t**2 - 6*t**3 - 2*t + 11*t**3.
-t*(t - 2)*(t - 1)
Let m be -10*(-3)/(-18) + 3. Let q(y) be the first derivative of -2*y + 1/3*y**6 + y**2 + 1 - 2/5*y**5 - y**4 + m*y**3. Factor q(i).
2*(i - 1)**3*(i + 1)**2
Let n(x) = -x**2 - 1. Let u be n(0). Let d be 0/(u + (-3)/(-1)). Let 1/4*s**2 - 1/4*s + d = 0. Calculate s.
0, 1
Find j, given that 0*j + 0 + 4/9*j**2 = 0.
0
Find n such that -4*n + 3*n + 409*n**2 - 12 - 408*n**2 = 0.
-3, 4
Let b(x) be the second derivative of -x**3/2 - 3*x**2/2 + 2*x. Let k be b(-5). Factor 8*c + c**4 + k*c**2 + c**4 - 4*c**3 + 2 + 12*c**3.
2*(c + 1)**4
Let j(q) be the third derivative of -q**8/84 + 4*q**7/105 - 2*q**5/15 + q**4/6 - 7*q**2. Factor j(z).
-4*z*(z - 1)**3*(z + 1)
Let x be (-3)/5*105/336. Let h = x - -27/16. Factor -3/4*a**2 + h*a + 0.
-3*a*(a - 2)/4
Let v = 12 + 4. Factor v*h**2 + 4*h + 3*h**3 - 9*h**3 - 14*h**2.
-2*h*(h - 1)*(3*h + 2)
Let v be 4 + -2*1/(-2). Suppose a = -k - 3*k + 775, 3*k + 3*a - 579 = 0. Solve -6*r**v - k*r**3 + 188*r**2 - 8*r**5 + 96*r**4 - 88*r + 16 - 4*r**5 = 0.
2/3, 1, 2
Let b(z) be the third derivative of -4*z**7/525 - 13*z**6/300 - 11*z**5/150 - z**4/30 - 34*z**2 + 1. Find o, given that b(o) = 0.
-2, -1, -1/4, 0
Let a be 24/(-27)*-3 + 6/(-9). Let q(d) be the first derivative of -1/9*d**3 + 0*d**a + 2 + 1/4*d**4 + 1/18*d*