12)**3*(u - 6)**2
Solve 2/17*y**2 + 16/17 - 12/17*y = 0.
2, 4
Factor -10/13*z**3 - 18/13*z**2 - 2/13*z**4 - 4/13 - 14/13*z.
-2*(z + 1)**3*(z + 2)/13
What is m in -20 - 16 + 12*m**3 + 66 + 340*m - 268*m**2 - 114 = 0?
1/3, 1, 21
Let n = 1620 + -1618. Let r(q) be the first derivative of -n*q**2 - 2/5*q**5 + 1/3*q**6 + 0*q + 9 - 3/2*q**4 + 10/3*q**3. Factor r(d).
2*d*(d - 1)**3*(d + 2)
Let k(r) = -45*r**2 - 49*r - 1. Let g be k(-1). Let -704/3*w - 224/3*w**2 + 17150/3*w**4 + 2744*w**g + 4802/3*w**5 - 32 = 0. Calculate w.
-3, -2/7, 2/7
Let u be 39/(-195) + (378/120)/7. Factor u*h**4 + 0 + 3/4*h**2 + 9/4*h - 5/4*h**3.
h*(h - 3)**2*(h + 1)/4
Factor -79*u**2 - 4769*u**3 + 25*u + 4764*u**3 + 99*u**2.
-5*u*(u - 5)*(u + 1)
Let x(n) be the third derivative of n**7/3780 - n**6/135 + 4*n**5/45 + 5*n**4/12 + 2*n**2. Let r(i) be the second derivative of x(i). Factor r(l).
2*(l - 4)**2/3
Let k(m) = -319*m**2 - 238*m - 20. Let h(f) = 3830*f**2 + 2855*f + 240. Let p(q) = 2*h(q) + 25*k(q). Factor p(c).
-5*(3*c + 2)*(21*c + 2)
Suppose 44*n + 53*n = 90*n. Let -4/5*r**2 - 4/5*r**4 + 0 + n*r - 8/5*r**3 = 0. What is r?
-1, 0
Let r(i) be the second derivative of i**6/135 - 2*i**5/45 + i**4/9 - 4*i**3/27 + i**2/9 - 132*i. Factor r(t).
2*(t - 1)**4/9
Let b(p) be the third derivative of -p**8/1680 + p**7/630 + p**6/180 - p**5/30 - p**4/8 + 11*p**2. Let x(m) be the second derivative of b(m). Factor x(v).
-4*(v - 1)**2*(v + 1)
Let v = 17/198 - 1/396. Let f(j) be the first derivative of 1/9*j**3 + 0*j + 0*j**2 - 1/18*j**6 + 3 + v*j**4 - 1/15*j**5. Factor f(b).
-b**2*(b - 1)*(b + 1)**2/3
Let o(z) = -z + 4. Let t be o(2). Let q = 4 - t. Factor -1/2 + 1/4*c + 1/4*c**q.
(c - 1)*(c + 2)/4
Suppose 172*p = 48*p + 248. Find b, given that 0 + 4/17*b + 2/17*b**p = 0.
-2, 0
Suppose 0*a - 2*a + 6 = 0. Factor 1237 - 3*z**2 - a*z - 1237.
-3*z*(z + 1)
Let o(i) be the second derivative of 0 + 3/20*i**5 + 0*i**2 + 1/2*i**4 + 1/2*i**3 - 17*i. Factor o(p).
3*p*(p + 1)**2
Let x be (2/(30/(-185)))/(2/12). Let h be (x/111)/((-1*2)/2). Find t, given that 2/9*t**3 + 2/3*t - h*t**2 - 2/9 = 0.
1
Determine q, given that 9/5*q - 9/5*q**3 + 3/5*q**2 + 0 - 3/5*q**4 = 0.
-3, -1, 0, 1
Suppose 12 = -3*h + 6*h. Suppose -13 = -5*p + 3*r, r - 6 = -h*p + 1. Factor -p*g**4 + 2*g - 4*g - 6*g**3 + 6 - 6 - 6*g**2.
-2*g*(g + 1)**3
Suppose -1/3*w**5 - 11/3*w**2 + w**4 - 4/3 + 1/3*w**3 + 4*w = 0. What is w?
-2, 1, 2
Suppose 4*t - 11 = -3. Let -139 - 8*y + 139 - 4*y**t = 0. Calculate y.
-2, 0
Let r be (-1)/10 - 9/((-540)/30). Suppose r*t**5 + 0 + 58/5*t**3 - 18/5*t**4 + 36/5*t - 78/5*t**2 = 0. Calculate t.
0, 1, 2, 3
Let v be 4 + (-1 - (4 + -3)). Factor -4*w**3 - 4*w**4 + 13*w**2 - 4*w**2 - 44*w + 5*w**v + 22*w**2 + 16.
-4*(w - 1)**3*(w + 4)
What is d in 0 + 3/5*d**4 + 21/5*d**3 + 0*d + 0*d**2 = 0?
-7, 0
Suppose 8*q - 2 = 10*q - 3*z, -2 = -6*q + 5*z. Solve 0*p**q + 0*p + 0 + 1/4*p**3 - p**4 + p**5 = 0.
0, 1/2
Let w(f) be the second derivative of f**4/30 + 17*f**3/15 - 18*f**2/5 - 476*f. Factor w(y).
2*(y - 1)*(y + 18)/5
Let l = 49/132 - 4/33. Let a(f) = f**2 + 164*f + 640. Let p be a(-4). Factor p - l*z**4 - 1/4*z**2 - 1/2*z**3 + 0*z.
-z**2*(z + 1)**2/4
Let v(u) = 10*u**4 - 30*u**3 - 83*u**2 + 270*u. Let a(m) = -5*m**4 + 15*m**3 + 41*m**2 - 135*m. Let s = 118 + -122. Let w(d) = s*v(d) - 7*a(d). Factor w(h).
-5*h*(h - 3)**2*(h + 3)
Let g(r) be the first derivative of -1/8*r**4 + 1/6*r**3 + 1/4*r**2 + 0*r - 1/10*r**5 - 14. Find z such that g(z) = 0.
-1, 0, 1
Let w(q) be the third derivative of 0*q**4 + 0*q**3 + 0 + 0*q**5 + 0*q**7 + 0*q + 1/1008*q**8 - 1/360*q**6 - 11*q**2. Factor w(z).
z**3*(z - 1)*(z + 1)/3
Suppose -11*t + 1162 - 1129 = 0. Factor -4/3*z**2 + 1/3*z - 2/3*z**4 + 5/3*z**t + 0.
-z*(z - 1)**2*(2*z - 1)/3
Let d = -1077 + 1077. Let b(c) be the first derivative of d*c**2 + 1/18*c**3 - 9 + 1/36*c**6 - 1/30*c**5 - 1/24*c**4 + 0*c. Factor b(p).
p**2*(p - 1)**2*(p + 1)/6
Let w(f) = 2*f - 5. Let t be w(4). Factor -8*o**5 + 5*o**5 + 0*o**3 + 6*o**5 - t*o**3.
3*o**3*(o - 1)*(o + 1)
Let x(h) be the second derivative of -h**5/60 + h**3/6 + 7*h**2 - 13*h. Let d(s) be the first derivative of x(s). Factor d(c).
-(c - 1)*(c + 1)
Let f(x) be the second derivative of x**5/40 - 7*x**4/24 + 5*x**3/6 + x. Factor f(i).
i*(i - 5)*(i - 2)/2
Let t(i) be the second derivative of -1/24*i**4 - 1/80*i**5 + 0*i**2 + 0 + 1/8*i**3 + 18*i. Factor t(w).
-w*(w - 1)*(w + 3)/4
Let m = 4 - 3. Let u be m/(2/4 - 0). Factor u*s**2 - 1 - s - 5 + s**3 + 4.
(s - 1)*(s + 1)*(s + 2)
Solve -22/9*t**2 + 0 + 8/3*t - 4/9*t**3 + 2/9*t**4 = 0 for t.
-3, 0, 1, 4
Let a(y) be the second derivative of y**5/40 + 13*y**4/24 - 7*y**3/6 - 5*y - 16. Determine o, given that a(o) = 0.
-14, 0, 1
Let r(t) be the first derivative of 10/9*t**3 + 6 - 14/15*t**5 + 3/2*t**4 - 3*t**2 + 4/3*t. Suppose r(s) = 0. What is s?
-1, 2/7, 1
Let z(x) = x**2 - 2*x - 4. Let j be z(4). Suppose -j*q - 15 = -9*q. Factor q + 3*s + 0*s - 3*s**2 - 3*s.
-3*(s - 1)*(s + 1)
Let w(c) be the third derivative of -c**6/660 + 3*c**5/110 - 2*c**4/11 + 20*c**3/33 + 314*c**2. Suppose w(n) = 0. Calculate n.
2, 5
Let m(u) = u - 16. Let s be m(0). Let i = s - -18. Suppose 2*f - f**2 + 2*f**2 - 8*f + i*f**2 = 0. What is f?
0, 2
Let o(t) = -20*t**2 + 28*t - 8. Let f be -1 + 2/(1 + (-2)/4). Let s(x) = -x**3 + 20*x**2 - 28*x + 9. Let d(w) = f*o(w) + 4*s(w). Solve d(k) = 0.
1, 3
Determine l so that 2/7*l**3 - 62/7*l + 4*l**2 + 32/7 = 0.
-16, 1
Let x be 0/(-1)*(-5 - (-14)/3). Factor -5*z**2 + x*z**4 + 3*z**4 + z**5 + z**2.
z**2*(z - 1)*(z + 2)**2
Let v(j) be the third derivative of j**5/180 - j**4/36 - 20*j**3/3 + 2*j**2 - 49. Factor v(r).
(r - 12)*(r + 10)/3
Let z(m) = -m**3 - 8*m**2 + 7*m - 3. Let a be z(-11). Let -8*h + 4 + 9*h**3 + 18*h**4 + 4 - a*h**2 + 3*h**3 + 261*h**2 = 0. What is h?
-1, 2/3
Let m be ((14/(-4))/7)/(66/(-264)). Determine f so that -m*f - 2*f**3 + 1/2*f**4 + 1/2 + 3*f**2 = 0.
1
Let j(p) = p**3 + 8*p**2 + 15*p + 7. Let k be j(-3). Let f = k + -7. Factor f*o - 4/5*o**2 + 0.
-4*o**2/5
Let o(q) be the first derivative of -5*q**4/4 - 25*q**3 - 135*q**2/2 - 65*q - 72. Determine z so that o(z) = 0.
-13, -1
Let w(y) = 23*y**3 + y - 1. Let j be w(1). Let n = j - 14. Determine l so that 7 + 15*l - 9 - n*l**2 + 8 = 0.
-1/3, 2
Let s be (-2 + (1 - -2 - 0))/(-345 + 348). Factor 4/9*m - s - 1/9*m**2.
-(m - 3)*(m - 1)/9
Let a(s) be the second derivative of -1/20*s**4 - 8*s - 3/100*s**5 + 2/5*s**3 + 0 + 6/5*s**2. Factor a(u).
-3*(u - 2)*(u + 1)*(u + 2)/5
Let s(m) = -9*m - 8. Suppose 4*l - 3*l + 2 = 0. Let y be s(l). Suppose -y + 12 - 3 + v**2 = 0. What is v?
-1, 1
Let q = -38 - -38. Let t(z) be the second derivative of 0*z**2 + 1/3*z**3 + 1/10*z**5 + q - z + 1/3*z**4. What is a in t(a) = 0?
-1, 0
Let y = -41 + 43. Factor -2*h**4 - 972*h**3 + 8*h**4 - y*h**5 + h**2 + h**2 + 966*h**3.
-2*h**2*(h - 1)**3
Let d(i) = i**3 + i. Let f(c) = 2*c**4 - 2*c**3 - 6*c**2 - 6*c. Let z(p) = 6*d(p) + f(p). Factor z(a).
2*a**2*(a - 1)*(a + 3)
Let r(l) be the third derivative of 0*l**3 + 0*l + 3*l**2 + 1/60*l**4 + 1/75*l**5 + 0 + 1/300*l**6. Factor r(j).
2*j*(j + 1)**2/5
Let i = 266 - 262. Let s(v) be the third derivative of -1/12*v**i + 1/6*v**3 + 1/48*v**5 + 0*v - 5*v**2 - 1/480*v**6 + 0. Let s(m) = 0. What is m?
1, 2
Let h(v) be the second derivative of -v**6/90 - v**5/30 - v**3 - 21*v. Let f(a) be the second derivative of h(a). Factor f(j).
-4*j*(j + 1)
Determine q so that -164*q**4 - 216*q**4 - 25*q**3 + 45*q**3 + 385*q**5 - 45*q**4 + 20*q**2 = 0.
-2/11, 0, 2/7, 1
Suppose 19*q = 3*q + 7*q + 27. Factor -15/7*m**2 + 3/7*m**q + 12/7*m + 0.
3*m*(m - 4)*(m - 1)/7
Let d(z) be the third derivative of z**7/126 + z**6/18 - z**5/36 - 5*z**4/18 + 14*z**2 - 3. What is x in d(x) = 0?
-4, -1, 0, 1
Factor -1/2*j**2 - 1/2*j**4 - 4/3*j**3 + 1/3*j + 0.
-j*(j + 1)*(j + 2)*(3*j - 1)/6
Let d(f) = -12*f**3 + 28*f**2 + 36*f - 44. Let k(z) = -14*z**3 + 30*z**2 + 37*z - 43. Let p(c) = -5*d(c) + 4*k(c). Solve p(g) = 0 for g.
-2, 1, 6
Factor 0*v**3 + 8*v**3 - v**4 + 8*v**3 + 3*v**4.
2*v**3*(v + 8)
Let g = 42 - 34. Let k be ((-2)/g*-2)/(4/16). Factor 0 + 1/5*h**k + 1/5*h.
h*(h + 1)/5
Let k(t) be the first derivative of -4/3*t + 1/12*t**4 - 1/6*t**2 + 4/9*t**3 - 4. Find w such that k(w) = 0.
-4, -1, 1
Let x = -372 - -2608/7. Let p be ((-6)/14)/(