(v).
2*v**2
Let c = 9 + -3. Let f be (-1*(c - 2))/(-1). Factor -3*y**4 + 2*y**4 + 4*y**4 - y**f - 2*y**3.
2*y**3*(y - 1)
Let z(x) = 2*x**3 - 2*x**2 - 15*x + 15. Let w(v) = v**3 - v**2 - 7*v + 7. Let l(a) = 13*w(a) - 6*z(a). Find y such that l(y) = 0.
-1, 1
Let r(c) = 11*c**3 - 49*c**2 + 48*c. Let n(f) = 5*f**3 - 25*f**2 + 24*f. Let o(z) = -5*n(z) + 2*r(z). Solve o(j) = 0 for j.
0, 1, 8
Let y(v) = -9*v**5 + 31*v**4 + 9*v**3 - 31*v**2 - 11*v - 11. Let s(k) = -2*k**5 + 6*k**4 + 2*k**3 - 6*k**2 - 2*k - 2. Let h(d) = -11*s(d) + 2*y(d). Factor h(j).
4*j**2*(j - 1)**2*(j + 1)
Let z(q) be the first derivative of 2*q**6/3 + 8*q**5/5 - 8*q**3/3 - 2*q**2 + 15. Solve z(i) = 0.
-1, 0, 1
Let s(d) be the first derivative of 9/4*d**2 - 1 + d + 2/3*d**3. Factor s(c).
(c + 2)*(4*c + 1)/2
Let f = 289/198 - -4/99. Factor 207/2*w**2 + 150*w**4 + f + 210*w**3 + 21*w.
3*(2*w + 1)**2*(5*w + 1)**2/2
Let g = 5 - -1. Suppose g*z - 8 = 2*z. Determine v so that 0*v**z - 49*v**3 - 68*v**4 - 49*v**5 + 17*v**3 - 9*v**4 - 4*v**2 = 0.
-1, -2/7, 0
Let x(p) = -2*p**2 + 4*p - 4. Let u be x(2). Let a be 2*(1 - 0/u). Factor 0 + 1/2*f + 1/4*f**a.
f*(f + 2)/4
Let y(u) be the first derivative of -3*u**6 - 8*u**5 - 13*u**4/2 - 4*u**3/3 - 28. Factor y(a).
-2*a**2*(a + 1)**2*(9*a + 2)
Let x = 332/5 - 66. Solve 0 - x*u + 2/5*u**2 = 0 for u.
0, 1
Let w(i) = -5 - 2*i + i - 3 + 5. Let r be w(-6). Solve 0*q**3 + q**r + 2*q - 3*q**3 = 0.
-1, 0, 1
Let n(j) = -9*j**4 - j**3 + 4*j**2 - 4*j. Let o(f) = 4*f**4 - 2*f**2 + 2*f. Let z(y) = 2*n(y) + 5*o(y). Find c such that z(c) = 0.
-1, 0, 1
Let d(j) = -5*j**3 + 8*j**2 - 5*j. Let a(m) = -21*m**3 + 33*m**2 - 21*m. Suppose -2*t = -t + 2. Let p(q) = t*a(q) + 9*d(q). Solve p(l) = 0 for l.
0, 1
Suppose 70 = 3*f - 4*n, -f - 80 = -5*f + 2*n. Suppose 3 = -3*u, -3*s - s + f = -2*u. Suppose -4*o + 4*o**3 + 6*o**2 + 0*o**4 - 3*o**4 - 3*o**s = 0. What is o?
-1, 0, 2/3, 1
Let r(x) be the third derivative of -1/12*x**4 - 1/15*x**5 + 1/168*x**8 + 2/105*x**7 - x**2 + 0 + 0*x**6 + 0*x + 0*x**3. Factor r(j).
2*j*(j - 1)*(j + 1)**3
Let h(q) be the second derivative of 2*q**6/135 - 7*q**5/90 + q**4/18 + 8*q**3/27 - 4*q**2/9 + 2*q. Determine i so that h(i) = 0.
-1, 1/2, 2
Let o(m) be the first derivative of m**6/40 + m**5/120 - 5*m**4/48 - m**3/6 + m**2 - 1. Let p(l) be the second derivative of o(l). Find f such that p(f) = 0.
-2/3, -1/2, 1
Suppose -2*z + 27 = 7. Suppose -z = m - 5*g, -3*m + 4 = -3*g - 2. Factor 2/9*n**2 + 14/9*n**4 + 0 + 0*n - 2/3*n**m - 10/9*n**3.
-2*n**2*(n - 1)**2*(3*n - 1)/9
Let d = 16 + -14. Let a(c) be the first derivative of 0*c - 1/9*c**3 - d + 0*c**2 - 1/12*c**4. Suppose a(m) = 0. What is m?
-1, 0
Let p be ((-3)/(-2))/((-1)/(-2)). Suppose -r + p - 1 = 0. Let -v**4 + v**2 + 0*v**r + 0*v**4 = 0. What is v?
-1, 0, 1
Let x(v) = v**2 + 2*v - 6. Let d(q) = q**2 + 3*q - 7. Let f(m) = -6*d(m) + 7*x(m). What is c in f(c) = 0?
0, 4
Let m(j) be the first derivative of 4*j**3 + 6*j + 15/2*j**2 + 3/4*j**4 + 6. Factor m(s).
3*(s + 1)**2*(s + 2)
Let t(w) be the second derivative of -3*w**5/100 + w**4/20 + w**3/10 - 3*w**2/10 - 10*w. Determine h so that t(h) = 0.
-1, 1
Let p(s) be the third derivative of 0*s**4 + 0*s + 3*s**2 + 1/112*s**8 + 1/30*s**7 + 0*s**5 + 0 + 1/60*s**6 + 0*s**3. Suppose p(j) = 0. Calculate j.
-2, -1/3, 0
Suppose 4*c - 20 = 9*c - 4*j, -5 = -5*c - j. Suppose 0*k**3 + 0 + 2/11*k**5 - 2/11*k**4 + 0*k + c*k**2 = 0. Calculate k.
0, 1
Let b(y) be the third derivative of 0*y**3 - 4*y**2 - 1/40*y**5 - 1/240*y**6 + 0 - 1/24*y**4 + 0*y. What is q in b(q) = 0?
-2, -1, 0
Let c(y) be the third derivative of -y**5/240 + y**3/6 + 3*y**2. Factor c(g).
-(g - 2)*(g + 2)/4
Factor 0 - 1/7*m**4 - 1/7*m - 3/7*m**2 - 3/7*m**3.
-m*(m + 1)**3/7
Let f be (-24)/(-14) + (-8)/(-28). Solve 1 - 3*v - v + v**f + 5*v - 3 = 0.
-2, 1
Let h be 3/((15/18)/5). Let r be 62/h - (-3)/(-1). Factor 2/3*v - 2/3*v**4 - 4/9*v**3 + r*v**2 - 2/9*v**5 + 2/9.
-2*(v - 1)*(v + 1)**4/9
Let z = -22/15 + 14/5. Let y(u) be the first derivative of 2 + 0*u - 1/4*u**4 - 2*u**2 - z*u**3. Find q such that y(q) = 0.
-2, 0
Let i(o) be the third derivative of 2*o**7/945 - 11*o**6/1080 + o**5/108 + o**4/108 + 11*o**2. Let i(d) = 0. What is d?
-1/4, 0, 1, 2
Suppose -5*x + 2*s = -9, 2*s - 10 + 4 = 0. Suppose -j - j - 4*h - 8 = 0, x*j + 2*h - 8 = 0. Factor 2 - 10*p + 3*p**2 - p**2 + j*p**2.
2*(p - 1)*(4*p - 1)
Determine d so that 1/4*d + 0 + d**2 = 0.
-1/4, 0
Let x(s) be the second derivative of s**5/80 + s**4/16 - 7*s. Solve x(o) = 0.
-3, 0
Suppose -4*u = 18*u + 2*u. What is x in -3/2*x**3 + u*x + 0 - 1/2*x**2 = 0?
-1/3, 0
Solve 2/3*k - 2/3*k**3 + 0*k**2 + 1/3*k**4 - 1/3 = 0.
-1, 1
Let c = -37 - -65. Let n be (6/(-4))/((-210)/c). Factor 1/5*z - 1/5*z**2 + n - 1/5*z**3.
-(z - 1)*(z + 1)**2/5
Factor 1/12*h**4 + 0*h**3 - 1/2*h**2 + 2/3*h - 1/4.
(h - 1)**3*(h + 3)/12
Let w(i) be the second derivative of -1/60*i**5 + 0*i**4 + 0 + 0*i**2 - i + 0*i**3. Factor w(h).
-h**3/3
Let h be (4 + 0 - 0) + 0. Let u be h*(1 - (-39)/(-42)). Factor -2/7*i**2 - u*i**4 + 0*i + 4/7*i**3 + 0.
-2*i**2*(i - 1)**2/7
Let y be (16/(-8)*1)/(-8). Factor -1/2*r**2 - y*r**3 + 0 + 0*r.
-r**2*(r + 2)/4
Suppose -5*a + 13 - 3 = 0. Determine u so that 2/5*u**3 + 0 + 4/5*u**a + 0*u - 2/5*u**4 = 0.
-1, 0, 2
Let b(t) = t + 4. Let q be b(-3). Let z be -6*q*1/(-3). Determine x, given that 4*x**3 - 2*x**2 - z*x**3 + 4*x**2 = 0.
-1, 0
Let c(i) be the third derivative of i**10/151200 - i**9/20160 + i**7/1260 - i**5/20 + i**2. Let k(n) be the third derivative of c(n). Factor k(q).
q*(q - 2)**2*(q + 1)
Let y(f) = -f**3 - f. Let a(s) = -4*s**3 - 8*s - 2. Let i(q) = 3*a(q) - 15*y(q). Factor i(x).
3*(x - 2)*(x + 1)**2
Let o(f) = 3*f**2 + 5*f + 5. Let x(n) = -n**2 - 3*n - 3. Let t(y) = -3*o(y) - 5*x(y). Find w, given that t(w) = 0.
0
Let x(d) be the first derivative of d**3/7 - 3*d**2/7 + 3*d/7 + 1. Factor x(o).
3*(o - 1)**2/7
Suppose 5*x = -3*y - 14, 4*y - x = -2*x - 13. Let n be 2 - (y + -2 + 3). Find w, given that 3*w**n - 9*w**2 + w**4 - 2*w + 5*w**2 + 2*w**5 = 0.
-1, 0, 1
Let p(r) = 3*r**2 + r. Let h be p(-1). Suppose 4*k**3 - k**3 - 3*k**3 + h*k**4 = 0. Calculate k.
0
Let z be 626/(-118)*2/(-6). Let j = z - 6/59. Factor 8/3*t + j*t**2 + 1/3*t**3 + 4/3.
(t + 1)*(t + 2)**2/3
Let k be 4/10 - (-26)/10. Suppose 0 = 4*q + k + 25. Let p(c) = -2*c**2 - 2*c - 7. Let g(j) = -j**2 - j - 3. Let w(n) = q*g(n) + 3*p(n). Solve w(r) = 0 for r.
-1, 0
Let q(j) be the third derivative of -j**8/336 + j**7/105 + j**6/40 - j**5/15 - j**4/6 - 15*j**2. Factor q(n).
-n*(n - 2)**2*(n + 1)**2
Let r(o) be the first derivative of 4*o**5/5 + o**4 - 44. Factor r(z).
4*z**3*(z + 1)
Let o(j) = 25*j**2 - j - 33. Let p(m) = 6*m**2 - 8. Let l(t) = 2*o(t) - 9*p(t). Let c(d) = d**2 + d - 2. Let i(r) = 21*c(r) + 6*l(r). Factor i(q).
-3*(q - 2)*(q - 1)
Let b(v) be the first derivative of v**3/3 + 4*v**2 - 7*v - 1. Let z be b(-9). Find d, given that 4*d + 5*d**2 - 4*d**z - 5*d - d + 1 = 0.
1
Let k(s) = -9*s**2 + 11*s + 7. Let q(x) = 5*x**2 - 6*x - 4. Let a(f) = 4*k(f) + 7*q(f). Let w(d) = -d**2 + 2*d. Let v(l) = 5*a(l) - 6*w(l). Factor v(o).
o*(o - 2)
Let h(p) be the first derivative of 2*p**3/9 - 11*p**2/12 - p/2 + 25. What is w in h(w) = 0?
-1/4, 3
Factor -2/17*d**2 - 6/17*d - 4/17.
-2*(d + 1)*(d + 2)/17
Let r be (12 - 16)*2/(-52). Suppose 4/13*p - r*p**2 - 2/13 = 0. What is p?
1
Let h(m) be the second derivative of 5*m**4/12 - 5*m**3/3 - 31*m. Factor h(f).
5*f*(f - 2)
Factor -6/5*z - 2/5*z**2 + 0.
-2*z*(z + 3)/5
Let d(n) be the first derivative of -3*n**4/28 - 3*n**3/7 + 3*n**2/14 + 9*n/7 + 11. Factor d(m).
-3*(m - 1)*(m + 1)*(m + 3)/7
Let n(r) = r**2 + 2*r + 2. Let o be n(-3). Suppose -5*t + 2*u - u = -13, o*t - 2*u = 11. Solve 4/3*c - 2*c**2 + 2/3*c**t + 0 = 0 for c.
0, 1, 2
Let z(n) = -n - 6. Let m be z(-4). Let r be (-2)/m*(3 - 3). Find p such that -1/3*p**4 + 2/3*p**3 + 0 + 0*p + r*p**2 = 0.
0, 2
Let y(v) be the second derivative of -1/21*v**7 + 1/6*v**4 + 1/5*v**6 + 0*v**2 + 0*v**3 + 4*v + 0 - 3/10*v**5. Factor y(c).
-2*c**2*(c - 1)**3
Suppose 3*v = 2 + 4. Suppose -4*b**3 - 5*b**3 + 3*b**4 - 6*b + 3*b + 9*b**v = 0. Calculate b.
0, 1
Let y = 0 + 4. Find d such that 0 - 12*d**3 - d**3 - y*d**4 - 1 - 7*d - 15*d**2 = 0.
-1, -1/4
Let f(s) = -s**2 + s. Let i(n) = 2*n**5 - 6*n**4 + 4*