 + 0*g**2 + 0 + 1/4*g**b + 1/3*g**3 - 4*g. Factor z(d).
d*(d + 1)*(d + 2)
Let y(o) be the third derivative of o**5/5 + 5*o**4/12 - 7*o**3/6 - o**2. Let p(t) = -t**2 - t + 1. Let c(v) = -10*p(v) - 2*y(v). Factor c(u).
-2*(u + 1)*(7*u - 2)
Let z(m) = -2*m**3 - 11*m**2 + 3*m - 15. Let t be z(-6). Factor -1 + 3/2*l**t + 1/2*l**2 + 1/2*l**4 - 3/2*l.
(l - 1)*(l + 1)**2*(l + 2)/2
Determine q so that 8/5 + 0*q - 2/5*q**2 = 0.
-2, 2
What is v in 21*v - v**2 - 12*v - 11*v = 0?
-2, 0
Let f(u) be the third derivative of 0*u**3 + 0*u**4 - 1/5*u**5 - 17/40*u**6 + 0 + 8*u**2 - 2/35*u**7 + 0*u. Factor f(i).
-3*i**2*(i + 4)*(4*i + 1)
Let z = -203/5 - -41. Let h(b) be the first derivative of -1/2*b**4 + 0*b + 0*b**2 + z*b**5 + 2 + 0*b**3. Determine m, given that h(m) = 0.
0, 1
Suppose -13*z + 17*z = 8. Let 0*y + 2/7*y**z + 0 = 0. Calculate y.
0
Find x, given that 34*x**3 - 2*x**5 - x**5 - 31*x**3 - 3*x**4 + 3*x**2 = 0.
-1, 0, 1
Let s(u) be the third derivative of -1/60*u**5 + 5*u**2 - 1/360*u**6 - 1/18*u**3 + 0 - 1/24*u**4 + 0*u. Let s(t) = 0. What is t?
-1
Determine y, given that 0 + 5/4*y**2 + 5/4*y = 0.
-1, 0
Determine t so that -4/7*t**4 + 48/7*t - 16/7 + 24/7*t**3 - 52/7*t**2 = 0.
1, 2
Let r(k) be the third derivative of 0 - 8*k**2 + 0*k**3 + 1/3*k**5 + 2/15*k**6 + 1/6*k**4 + 0*k. Factor r(h).
4*h*(h + 1)*(4*h + 1)
Let z(i) be the third derivative of -i**9/211680 + i**8/35280 - i**7/17640 + i**5/12 + 5*i**2. Let c(y) be the third derivative of z(y). Factor c(f).
-2*f*(f - 1)**2/7
Let t(w) = -w**3 + w - 1. Let b(u) = -2*u**4 + 5*u**3 + 6*u**2 - u + 5. Let d(v) = b(v) + 5*t(v). Factor d(f).
-2*f*(f - 2)*(f + 1)**2
Let a = 17 - 15. Let l(c) be the first derivative of -2*c - a - c**4 - 10/3*c**3 - 4*c**2. Let l(d) = 0. Calculate d.
-1, -1/2
Find x such that 6*x**2 - 2*x**3 + 0*x + 2*x - 7*x**2 + x**4 = 0.
-1, 0, 1, 2
Suppose 3*u - 1 - 5 = 4*k, 0 = -k + 4*u - 8. Let h(m) be the third derivative of 0*m**3 + 1/330*m**5 + 0*m - 2*m**2 + k + 0*m**4. Suppose h(s) = 0. Calculate s.
0
Let q = -2 - -4. Factor 0 - 2*i**4 + 2*i**3 - 2*i + 0 + 0*i**3 + q*i**2.
-2*i*(i - 1)**2*(i + 1)
Factor 2/13*r**2 - 4/13*r + 2/13.
2*(r - 1)**2/13
Let w(n) be the third derivative of -n**6/300 - n**5/150 + 11*n**2. Factor w(c).
-2*c**2*(c + 1)/5
Factor 5*w + 5*w - 11*w**2 - 10*w**2 + 5*w**2 + 2*w**3 + 100.
2*(w - 5)**2*(w + 2)
Suppose -u + 10 - 10 = 0. Factor 0 + 1/3*b + u*b**2 - 1/3*b**3.
-b*(b - 1)*(b + 1)/3
Suppose 3*l = -4*a, -a - 5 = 2*l - 0. Let b = 3 - 1. Suppose 15*i**2 + 186*i**5 + 4*i - 38*i**3 + 27*i**4 + a*i**b - 171*i**4 - 26*i**5 = 0. Calculate i.
-1/4, 0, 2/5, 1
Let u(q) be the second derivative of q**4/9 - 2*q**3/9 + 3*q + 2. Factor u(k).
4*k*(k - 1)/3
Let o = 10 - 6. Suppose -z + 2*k + 10 = o*z, 2*k = z - 2. Find f, given that 2*f**3 - f**2 - z - f - f + 3*f**2 = 0.
-1, 1
Let d(a) be the first derivative of -1/42*a**4 - 2/21*a**3 - 3*a - 4 - 1/7*a**2. Let q(b) be the first derivative of d(b). Factor q(r).
-2*(r + 1)**2/7
Let t(w) be the first derivative of w**4/2 + 8*w**3/3 + 5*w**2 + 4*w + 3. Suppose t(a) = 0. What is a?
-2, -1
Let v(s) = 4*s**2 - 5*s. Let z(i) = -i**2 + i. Let o(p) = v(p) + 3*z(p). What is t in o(t) = 0?
0, 2
Let j be 3 + (-4)/(4/3). Factor 1/2*c**2 - c + j.
c*(c - 2)/2
Let u(v) be the second derivative of -33/2*v**5 - 15/2*v**3 + 4*v + 3/2*v**2 + 125/14*v**7 + 0 + 37/2*v**4 - 15/2*v**6. Factor u(z).
3*(z - 1)*(z + 1)*(5*z - 1)**3
Solve -g**3 + 2*g + 7*g**2 - 8*g**2 + 3*g**2 - 3*g**2 = 0.
-2, 0, 1
Factor 0 - 5/4*p**4 + 0*p - 5/4*p**5 + 5/4*p**3 + 5/4*p**2.
-5*p**2*(p - 1)*(p + 1)**2/4
Let u(r) be the third derivative of 0*r**5 + 0 + 0*r**3 - 1/385*r**7 - 6*r**2 - 1/1848*r**8 + 0*r + 0*r**4 - 1/330*r**6. Factor u(a).
-2*a**3*(a + 1)*(a + 2)/11
Let c(f) be the second derivative of 0*f**2 + 1/105*f**6 - 5*f - 1/42*f**4 + 0 + 1/70*f**5 - 1/21*f**3. Determine v so that c(v) = 0.
-1, 0, 1
Suppose -4*o = 5*b - 23, 0*b - 3*b + o + 7 = 0. Suppose g = b*g. Let g*h - 1/2*h**2 + 0 = 0. Calculate h.
0
Let f(h) be the first derivative of 3*h**5/10 + h**4/12 - 2*h**3/3 + h**2/2 - 2*h - 4. Let o(c) be the first derivative of f(c). Factor o(u).
(u + 1)*(2*u - 1)*(3*u - 1)
Suppose 2*m = 2 + 6, 2*z - 2*m - 14 = 0. Suppose 15 = z*w - 6*w. Solve -5/4*s**4 + 11/4*s + 17/4*s**w - 1/2 - 21/4*s**2 = 0 for s.
2/5, 1
Suppose -6 = -v - 1. Let u(w) be the second derivative of -1/15*w**6 + 1/10*w**v + 0 - 1/3*w**3 + 1/6*w**4 + 0*w**2 + 4*w. Factor u(i).
-2*i*(i - 1)**2*(i + 1)
Factor 10/3*c + 1/2*c**2 - 9/2*c**3 + 2/3.
-(c - 1)*(3*c + 2)*(9*c + 2)/6
Let s(a) be the first derivative of 2*a**3/15 + 8*a**2/5 + 32*a/5 - 4. Factor s(w).
2*(w + 4)**2/5
Let w(m) = m**2 - 1. Let k(c) be the first derivative of c - 1/2*c**2 - 1/3*c**3 + 1/4*c**4 - 4. Let y(t) = 3*k(t) + 6*w(t). Find s, given that y(s) = 0.
-1, 1
Suppose 3*m = -2*a + 6*m + 257, -4*a = m - 479. Let j be a/154 - (-2)/(-7). What is i in -j - i - 1/2*i**2 = 0?
-1
Let z = -8 + 10. Suppose -7*y**3 - y**5 + z*y**4 + 4*y**3 + 2*y**3 = 0. Calculate y.
0, 1
Let x = -186 + 188. Let m(v) be the first derivative of -1 + 1/2*v**4 - v - 2/3*v**3 - 3/2*v**x + 1/6*v**6 + 3/5*v**5. Determine k, given that m(k) = 0.
-1, 1
Determine z, given that 0 + 10/3*z + 2*z**3 - 2/3*z**4 + 6*z**2 = 0.
-1, 0, 5
Let m(a) be the second derivative of a**9/60480 - a**8/26880 - a**7/10080 + a**6/2880 + a**4/12 + a. Let i(v) be the third derivative of m(v). Factor i(j).
j*(j - 1)**2*(j + 1)/4
Suppose -4*m = 3*o - 12, -6*o + 2*o + 16 = -5*m. Let -1/2*s + 0 + 1/4*s**o - 3/4*s**3 - 5/4*s**2 + 1/4*s**5 = 0. Calculate s.
-1, 0, 2
Let n be (0 + 1)*(-1)/(-3)*9. Let c(p) be the first derivative of 3/10*p**2 + 2/5*p + 1/15*p**n - 1. What is x in c(x) = 0?
-2, -1
Suppose 13*x - 12*x = 0. Suppose -3*d + 9 - 3 = x. Solve 6/5*s**d + 0 + 3/5*s**3 + 3/5*s = 0 for s.
-1, 0
Let s be (-455)/195*(-6)/7. Factor s*k**4 - 20/3*k**2 + 14*k - 4*k**3 - 6 + 2/3*k**5.
2*(k - 1)**3*(k + 3)**2/3
Let v be (6/12)/(1/8). Let t be v - ((3 - 3) + 1). Suppose -d**2 - 2*d**t + d + 3*d**2 - d = 0. What is d?
0, 1
Find d such that -12*d - 2*d**2 + 3 - 3*d**3 - 12 - 13*d**2 - 9*d = 0.
-3, -1
Factor -4*z**2 - 4*z**2 - 7*z**2 + 1 + 14*z**2.
-(z - 1)*(z + 1)
Suppose 0 - 3/5*b**3 - 3/5*b**2 + 0*b = 0. Calculate b.
-1, 0
Let x be 1/1*-4*-1. Factor 2 - 2*s**x - 4 + s**2 + 0*s**2 + 3*s**2.
-2*(s - 1)**2*(s + 1)**2
Let l(d) be the third derivative of 0 - 7/6*d**4 - 4/3*d**3 - 2/105*d**7 + 0*d - 1/6*d**6 + 4*d**2 - 3/5*d**5. Factor l(x).
-4*(x + 1)**3*(x + 2)
Let j = -9 + 4. Let h = 10 + j. Factor u**4 - 2*u**4 - 4*u**2 - 4*u - 4*u**2 - h*u**3.
-u*(u + 1)*(u + 2)**2
Let v(l) be the second derivative of -l**5/4 + 5*l**3/6 - 32*l. Factor v(s).
-5*s*(s - 1)*(s + 1)
Let j(p) = p**4 + p**3 - p. Let t = -22 + 40. Let v(w) = -t*w**3 + 13*w + 5*w**4 - 23*w**4 + 2*w. Let c(o) = 15*j(o) + v(o). Let c(f) = 0. Calculate f.
-1, 0
Let o be 3/(-6) - 10*9/(-84). Determine s so that -o*s + 2/7*s**2 + 2/7 = 0.
1
Factor 0 + 1/5*q + 2/5*q**2 + 1/5*q**3.
q*(q + 1)**2/5
Let a(l) be the third derivative of 0 + 1/60*l**6 + 0*l + 0*l**3 + 1/108*l**4 + 3*l**2 - 1/45*l**5. Find o, given that a(o) = 0.
0, 1/3
Let z(j) be the second derivative of j**6/180 - j**5/30 + j**4/12 + 2*j**3/3 - 4*j. Let v(f) be the second derivative of z(f). What is m in v(m) = 0?
1
Let u be (2 + -1 + 0)*2. Let w(j) be the second derivative of 2*j - 1/3*j**3 + 2/5*j**u + 0 + 2/15*j**4 - 1/50*j**5. Factor w(f).
-2*(f - 2)*(f - 1)**2/5
Let j(b) be the second derivative of -1/15*b**6 + 3/5*b**5 - 4*b**2 - 13/6*b**4 + 4*b**3 + 2*b + 0. Factor j(i).
-2*(i - 2)**2*(i - 1)**2
Let j = 3169/18 - 176. Let z(n) be the second derivative of -1/45*n**6 - j*n**4 + 2*n + 0*n**3 + 0*n**2 - 1/15*n**5 + 0. Factor z(t).
-2*t**2*(t + 1)**2/3
Let u(b) = -504*b**4 - 182*b**3 + 261*b**2 - 63*b + 4. Let s(r) = -r**4 + r. Let g(v) = -6*s(v) - 2*u(v). Find q, given that g(q) = 0.
-1, 2/13, 1/3
Let w(z) be the third derivative of 1/180*z**6 + 0*z**3 - 1/45*z**5 + 0*z + 0 + 0*z**4 - 2*z**2. Factor w(r).
2*r**2*(r - 2)/3
Let g be 6/(-22) + (-6)/(-22). Factor -8/13*k - 8/13*k**2 + g - 2/13*k**3.
-2*k*(k + 2)**2/13
Suppose 115 = 8*r - 85. Solve -8/5 - 21*y**5 - 58/5*y**4 + r*y**3 + 66/5*y**2 - 4*y = 0.
-1, -2/3, -2/7, 2/5, 1
Let j(v) = -6*v**2 - 8*v + 2. Let p = 19 + -15. Let y(g) = 5*g*