4/9*w**3 - 1/2*w**4 - 1/6*w**2 - 18 - 1/18*w**6 + 0*w + 4/15*w**5. Factor v(y).
-y*(y - 1)**4/3
Factor 9/4*c**2 + 3/2 + 15/4*c.
3*(c + 1)*(3*c + 2)/4
Let i(t) = t**3 - 17*t**2 + 68*t - 20. Let l be i(11). Suppose 4/3*j**3 - 32/9*j**l - 20/9*j + 8/3 = 0. Calculate j.
-1, 2/3, 3
Solve 0*g + 2/3*g**3 + 2*g**5 + 0*g**2 + 0 - 8/3*g**4 = 0 for g.
0, 1/3, 1
Let s be (2223/76)/39*(-32)/(-15). Determine h, given that 2/5*h**2 - 2*h + s = 0.
1, 4
Suppose -d + 30 = 9*d. Determine f so that -12*f**2 + 3*f**d + 15*f - 7*f**3 + f**3 + 0*f**3 = 0.
-5, 0, 1
Let j = -2537 - -2540. Factor 5/6*q**2 - 1/3 + 1/3*q**j + 1/6*q.
(q + 1)*(q + 2)*(2*q - 1)/6
Suppose 0 = 2*k - 10, 3*z - 2*z + 4*k = 25. Suppose 0 = z*r + 22 - 32. Factor -1/4*m**4 - 3/4*m + 3/4*m**3 - 1/4*m**r + 1/2.
-(m - 2)*(m - 1)**2*(m + 1)/4
Let s(c) be the third derivative of -2*c**8/21 - 88*c**7/105 - 73*c**6/60 + 107*c**5/30 + 31*c**4/6 + 8*c**3/3 - c**2 + 63. Find l, given that s(l) = 0.
-4, -2, -1/4, 1
Suppose 3 = 3*q - 6. Suppose 3*l = -2*i + 17, -5*i - 2*l + q*l = -17. Factor -2*a + 0*a**3 - 2*a**i + 0*a + 2*a**2 + a**3 + a**3.
-2*a*(a - 1)**2*(a + 1)
Let a = 71 - 63. Suppose -5*u = 0, 4*p + 4*u - a*u = 8. Factor 2/9*z**p - 4/3*z + 2.
2*(z - 3)**2/9
Let u(g) be the second derivative of -g**7/168 - g**6/36 - g**5/24 - 3*g**3 - 13*g. Let a(f) be the second derivative of u(f). Suppose a(x) = 0. What is x?
-1, 0
Let o be 1 - ((0/2)/3 + -3). Find b, given that 46*b**o + 41*b**4 - 8*b**2 + 4*b**5 - 4*b - 79*b**4 = 0.
-1, 0, 1
Let k(a) = a**3 - 14*a**2 - 2*a + 27. Let f be k(14). Let n be (f - -1)/(5 + 1 + -7). Factor n*z + z**2 + 0 - 1/2*z**3.
-z**2*(z - 2)/2
Determine b, given that 3/7*b**4 - 36/7*b - 6/7*b**2 + 9/7*b**3 - 24/7 = 0.
-2, -1, 2
Let v(j) be the first derivative of 5*j**3/12 - 15*j**2/2 - 65*j/4 + 106. Factor v(l).
5*(l - 13)*(l + 1)/4
Factor 120/7*t + 4/7*t**5 + 116/7*t**3 - 172/7*t**2 - 36/7*t**4 - 32/7.
4*(t - 4)*(t - 2)*(t - 1)**3/7
Let t(v) = -21*v**3 - 6*v**2 - 15*v - 6. Let o(l) = 3*l**3 - l**2. Let b(d) = -6*o(d) - t(d). Factor b(k).
3*(k + 1)**2*(k + 2)
Let f(l) be the third derivative of l**5/15 + l**4/3 + 43*l**2. Factor f(u).
4*u*(u + 2)
Suppose 5*t - 83 - 1377 = 0. Solve -725*s**2 + 78*s**5 - 20 + 306*s**4 - 889*s**4 - 1175*s**3 - 323*s**5 - 200*s - t*s**4 = 0 for s.
-1, -2/7
Let w(j) = 7*j**3 - 5*j**2 + 19*j + 109. Let b(h) = -h**3 + h**2 - 3*h - 17. Let t(i) = 39*b(i) + 6*w(i). Suppose t(c) = 0. What is c?
-3, -1, 1
Let v(z) = -z**2 + z + 2. Let l be v(0). Factor 4*m + 5*m**2 - 2*m**2 + 3*m**l + m**3 - 2*m**2.
m*(m + 2)**2
Let k(y) be the first derivative of -y**9/3024 + y**8/1008 - y**7/2520 - y**6/1080 + 4*y**3 - y**2 + 43. Let f(j) be the third derivative of k(j). Factor f(c).
-c**2*(c - 1)**2*(3*c + 1)/3
Let x be (5 + (-20)/6)*3. Suppose 5/2*v**4 + 1/4*v + 0 + 6*v**3 - 25/4*v**x - 5/2*v**2 = 0. Calculate v.
-1, 0, 1/5, 1
Let x(t) be the second derivative of 1/252*t**7 + 0 - 1/2*t**2 + 1/90*t**6 - t - 19/36*t**3 - 1/20*t**5 - 5/18*t**4. Suppose x(l) = 0. What is l?
-2, -1, 3
Let o(r) be the first derivative of -4*r**3/3 - 2*r**2 - 6*r + 28. Let v(w) = 1. Let d(g) = -o(g) - 6*v(g). Solve d(t) = 0 for t.
-1, 0
Let s(j) be the third derivative of j**5/90 - j**4/36 - 4*j**3/3 - 77*j**2. Factor s(r).
2*(r - 4)*(r + 3)/3
Let a(g) be the second derivative of -1/42*g**3 + 1/84*g**4 + 0*g**2 + 4*g + 0. Find y such that a(y) = 0.
0, 1
Solve 20*u**2 + 7*u**2 + 25*u - 7*u**2 - 5*u**3 = 0 for u.
-1, 0, 5
Let w(t) be the second derivative of 0*t**4 + 0 - 1/10*t**5 + 0*t**2 - 8*t + 1/3*t**3. Let w(c) = 0. What is c?
-1, 0, 1
Let u(z) be the second derivative of 3/14*z**3 + 1/28*z**4 + 0 + 9*z + 3/7*z**2. Factor u(j).
3*(j + 1)*(j + 2)/7
Suppose 79*m - 77*m - 486 = 0. Let x = m - 1211/5. Find g such that x - 4/5*g + 1/5*g**2 = 0.
2
Factor -4/9*t**3 + 0 + 16/9*t + 4/3*t**2.
-4*t*(t - 4)*(t + 1)/9
Let j = 9 - 23. Let o(r) = r**3 + 13*r**2 - 14*r + 7. Let h be o(j). Factor -k**4 + h*k**2 + 2*k**4 - 10*k**2 + 2*k.
k*(k - 1)**2*(k + 2)
Let k be (-2708)/(-16) + -1 - 5. Let v = -163 + k. Factor 0 - v*g**4 + 1/2*g**3 + 0*g + 0*g**2 - 1/4*g**5.
-g**3*(g - 1)*(g + 2)/4
Let a = 31944/1085 - 9/217. Suppose 9*s**2 + a - 189/5*s - 3/5*s**3 = 0. What is s?
1, 7
Let p(y) be the second derivative of y**8/5376 - y**6/192 - y**5/48 + 7*y**4/6 + 27*y. Let j(v) be the third derivative of p(v). Determine z so that j(z) = 0.
-1, 2
Suppose -3*g = -7*g + 548. Find h such that -137*h - 2*h**4 + g*h = 0.
0
Let z(m) = 10*m**3 + 41*m**2 + 329*m + 286. Let r(q) = -37*q**3 - 162*q**2 - 1314*q - 1145. Let x(b) = 6*r(b) + 22*z(b). Factor x(w).
-2*(w + 1)*(w + 17)**2
Let u be 36/8*2 - 9. Let r(s) be the third derivative of 4*s**2 + 13/90*s**5 - 1/3*s**4 + 4/9*s**3 + 1/315*s**7 + 0*s + u - 1/30*s**6. Factor r(o).
2*(o - 2)**2*(o - 1)**2/3
Let n(f) = f**3 - 40*f**2 + 113*f - 72. Let g be n(37). Find y, given that 1/3*y**g + 0 + 2/3*y = 0.
-2, 0
Suppose -4*n = -3*d + 313, -d + 73 = -n - 6. Let p = 78 + n. Determine a so that 0 - 3/5*a**p + 6/5*a = 0.
0, 2
Suppose -32*y = -17*y. Let 0*w**2 - 2/5*w**3 + 1/5*w**4 + 0 + y*w = 0. Calculate w.
0, 2
Let h(v) be the first derivative of 4 + 40/3*v**3 - 40*v**2 + 0*v - 5/4*v**4. Solve h(u) = 0.
0, 4
Let x = -64 + 30. Let i be (x/(-10) - 3)/((-18)/(-15)). Determine s so that -s**3 + 0 - s**4 + 0*s - 1/3*s**5 - i*s**2 = 0.
-1, 0
Suppose v - 4*i + 2 = 0, -5*v - 2*i + i = -32. Suppose -3*u - 6 = -v*u. Factor -1 + 1 - u - 3*c**2 - c + 4*c**2.
(c - 2)*(c + 1)
Suppose -5*d + 11 + 14 = 0. Factor 54*j**4 - 10*j**3 + 53*j**4 - 180*j**d - 22*j**4.
-5*j**3*(4*j - 1)*(9*j - 2)
Factor 9 - 3/2*s - 6*s**2 - 3/2*s**3.
-3*(s - 1)*(s + 2)*(s + 3)/2
Let j(k) be the first derivative of 1/2*k**2 + 9 + 3/2*k + 1/10*k**5 - 2/3*k**3 - 1/4*k**4. What is s in j(s) = 0?
-1, 1, 3
Let l(r) be the second derivative of 2*r**7/21 - 2*r**5/5 + 2*r**3/3 - 31*r. Factor l(w).
4*w*(w - 1)**2*(w + 1)**2
Let l(x) be the first derivative of x**3/5 - 9*x**2/2 + 78*x/5 - 113. Let l(u) = 0. What is u?
2, 13
Let s(q) be the first derivative of q**3/18 + 11*q**2/12 + 5*q + 303. Factor s(n).
(n + 5)*(n + 6)/6
Let q be 24/(-6)*1/(-2). Suppose 4*w = 8*w, q*g = 2*w + 6. Determine k so that k**5 - 2*k**4 - k**3 + g*k**5 - 5*k**5 = 0.
-1, 0
Suppose 4*i + m = -0*m + 14, 5*i - 12 = -4*m. Let j = 27 - 25. Factor a**i + 0 - 3*a**3 + 0*a + a**j - 2 + 3*a + 0*a**4.
(a - 2)*(a - 1)**2*(a + 1)
Let z be 48 - 11 - 10 - 17. Determine h, given that -5*h + 5/2*h**4 + 15/2 - z*h**2 + 5*h**3 = 0.
-3, -1, 1
Factor 24*a + 1/2*a**3 + 32 + 6*a**2.
(a + 4)**3/2
Let 30*d - 835*d**2 - 833*d**2 + 1673*d**2 - 80 = 0. What is d?
-8, 2
Let x(g) = -g**3 - 4*g**2 - 4*g - 2. Let l be x(-2). Let z be (0 - l) + 1*2. Factor q**2 + 0*q**2 + q**4 - z*q**2 + 2*q**2 - q**5 + q**3.
-q**2*(q - 1)**2*(q + 1)
Let r(v) = -7*v**3 - 2*v**2 + 17*v - 12. Let d(s) = -48*s**3 - 15*s**2 + 120*s - 84. Let i(a) = -4*d(a) + 27*r(a). Suppose i(j) = 0. Calculate j.
-4, 1
Determine v, given that -48*v**3 + 42*v**4 - 39*v**4 + 26*v**2 + 19*v**2 = 0.
0, 1, 15
Let f(c) = 4*c**3 - 8*c**2 - 4*c + 2. Let r(v) = -5*v**3 + 9*v**2 + 5*v - 2. Let s = 38 - 45. Let m(t) = s*f(t) - 6*r(t). Factor m(z).
2*(z - 1)*(z + 1)**2
Let d(n) be the third derivative of n**5/36 - n**4/36 + 2*n**2 - 16*n. Factor d(h).
h*(5*h - 2)/3
Let a(j) = 2*j**2 + j + 1. Let b(f) = -3*f**2 + 44*f + 527. Let l(q) = 4*a(q) + 2*b(q). Factor l(y).
2*(y + 23)**2
Let g be 0/2 + 1 + (12 - 10). Factor -1 - 6*p**2 - p**4 - 4*p**g - 10*p + 22*p - 16*p.
-(p + 1)**4
Let j be ((0/(-4) + 0)/1)/2. Determine r so that 2/3*r**2 + 0 + j*r = 0.
0
Let n(i) = -i**2 - 17*i + 36. Let w be n(-17). Let h = 182/5 - w. Factor 8/5*d**2 - h*d**3 + 0 - 8/5*d.
-2*d*(d - 2)**2/5
Factor 1/2*o**2 + 0 - 3*o + 3*o**3 - 1/2*o**4.
-o*(o - 6)*(o - 1)*(o + 1)/2
Let s(h) = 13*h**3 + h**2 + h - 1. Let w be s(1). Let f be (-19)/(-7) - w/(-49). Determine c, given that 7*c**2 - 8*c + 2*c + 4*c**2 + 4*c**2 + 9*c**f = 0.
-2, 0, 1/3
Let h(i) be the second derivative of 169*i**5/15 + 221*i**4/9 + 112*i**3/9 + 8*i**2/3 + 23*i. Determine o, given that h(o) = 0.
-1, -2/13
Let g(x) be the second derivative of -x**7/8820 - x**6/1260 + 2*x**5/105 + 23*x**4/12 - 37*x. Let f(u) be the third derivative of g(u). What is n in f(n) = 0?
-4, 2
Let l(q) = -11*q**2 + 165*q + 204.