(b) = 0.
0, 2
Let m(q) = 3*q**2 - 9*q + 3. Let p(u) = -4*u**2 + 13*u - 4. Let k(y) = 7*m(y) + 5*p(y). Let l be k(-3). Factor -3*g**4 + 0*g**l + 6*g**3 + 5*g**4 - 8*g.
2*g*(g - 1)*(g + 2)**2
Let m(b) be the first derivative of b**3/2 - 3*b**2 + 6*b - 1. Factor m(x).
3*(x - 2)**2/2
Factor 18*i - 19 + 8 - 13 + 33*i**2 - 9*i**3.
-3*(i - 4)*(i + 1)*(3*i - 2)
Suppose i = -2*u + 13, -44 = -5*u + u + 4*i. Suppose -z + 2*j - u = -0*j, 3*j - 12 = -z. Factor 0*b**2 + 1/3*b**3 - 1/3*b**5 + 0*b + 0 + z*b**4.
-b**3*(b - 1)*(b + 1)/3
Suppose 0 = 4*y - 2 - 2. Let l(w) = -2*w**3 + 12*w**2 - 6*w. Let o(a) = 0*a - a**3 + 2*a**2 + a - 3*a**2. Let b(x) = y*l(x) + 4*o(x). Factor b(z).
-2*z*(z - 1)*(3*z - 1)
Let n(l) = 3*l + 1. Let z(b) = -b**2 + b. Suppose -2*a - 2 = -2*c, 4*c - 1 = a + 4*a. Suppose -a*d - d = 4. Let y(k) = d*n(k) + z(k). Factor y(g).
-(g + 1)**2
Let k(c) = c**2 + 6*c + 2. Let q be k(-6). Factor 2 + 0 + 0*z - 3*z - 4 - z**q.
-(z + 1)*(z + 2)
Let r(j) be the second derivative of j**6/75 + 3*j**5/50 + j**4/10 + j**3/15 - 6*j. Solve r(s) = 0 for s.
-1, 0
Let b be (-56)/(-21)*(-1698)/28. Let o = b - -162. Factor 2/7*c + o*c**2 + 0.
2*c*(c + 1)/7
Suppose -2*y + 4*h - 14 = 0, -y - 3*h + 13 + 5 = 0. Factor 4/3 - s**2 + 2/3*s - 1/6*s**4 - 5/6*s**y.
-(s - 1)*(s + 2)**3/6
Let b(t) be the second derivative of 0*t**2 + 0*t**3 + t + 1/84*t**4 + 0. Factor b(s).
s**2/7
Let c(v) be the first derivative of 2*v**6/15 - 12*v**5/25 - 4*v**4/5 - 13. Factor c(a).
4*a**3*(a - 4)*(a + 1)/5
Suppose 3*l + l = 4. Let w(h) = -h**3 + h**2 - h + 1. Let y be w(l). Let 2/5*q**2 + y - 2/5*q = 0. What is q?
0, 1
Let l(k) be the third derivative of k**8/840 + k**7/525 - k**6/75 - 2*k**5/75 + 38*k**2. Let l(t) = 0. Calculate t.
-2, -1, 0, 2
Let l = 25/26 + -6/13. Let j(f) be the second derivative of 0 + 2/3*f**3 + 1/5*f**5 + l*f**2 + 1/30*f**6 + 1/2*f**4 - 3*f. Solve j(k) = 0 for k.
-1
Factor 20*r**2 - 8*r**2 + 3*r**3 - 54 + 5*r - 14*r.
3*(r - 2)*(r + 3)**2
Let q(h) be the second derivative of -5*h**10/18144 + h**9/648 - 11*h**8/5040 + h**7/945 - h**4/3 - h. Let f(s) be the third derivative of q(s). Factor f(r).
-r**2*(r - 2)*(5*r - 2)**2/3
Suppose -3*v + 7 = 1. Let j(u) = u**3 - 2*u**2 + 2*u - 2. Let d be j(v). Let -2*s**2 - 3*s**2 + 9*s**2 + 2*s + d*s**3 = 0. What is s?
-1, 0
Let x(j) = 3*j - 3. Let i be x(3). Let a(t) be the second derivative of -4*t - 3/2*t**4 + 0*t**2 - 2/3*t**3 - 1/5*t**i + 0 - t**5. Suppose a(q) = 0. What is q?
-2, -1, -1/3, 0
Suppose -2 = -2*j + 2*p, -2*p - 4 = j + 2*p. Determine h, given that 1/2*h**5 + 0 + j*h**3 + h**4 - h**2 - 1/2*h = 0.
-1, 0, 1
Suppose -3*l = -15, 0 = -s - 4*s + 2*l. Let u(d) be the second derivative of -s*d - 1/9*d**3 + 1/6*d**2 + 1/36*d**4 + 0. Factor u(q).
(q - 1)**2/3
Let r be (1/(-2))/(8/64). Let p be ((-2)/6)/(r/36). What is q in 0 + 2/3*q**2 + 0*q + 2/3*q**p = 0?
-1, 0
Let v be (-1 - 18/(-14))/((-7)/(-49)). Solve -v - 1/2*s**2 - 2*s = 0.
-2
Suppose w = -5*b + 3, 2*b + 13*w = 18*w - 15. Factor 0*g - 1/3*g**5 + b + 0*g**2 - 1/3*g**4 + 0*g**3.
-g**4*(g + 1)/3
Let n(o) be the first derivative of -2/3*o**2 + 2 - 2/9*o**3 + 0*o. Factor n(m).
-2*m*(m + 2)/3
Let j(h) = 8*h**4 - 26*h**3 + 26*h**2 + 26*h - 17. Let x(u) = -3*u**4 - 3*u**2 - 9*u + 5 + 1 - 6*u**2 + 9*u**3. Let k(l) = 6*j(l) + 17*x(l). Factor k(b).
-3*b*(b - 1)*(b + 1)**2
Let b(s) be the first derivative of 5*s**3/3 - 7. Let b(z) = 0. Calculate z.
0
Solve 4/3 - 2/3*m**5 - 2/3*m + 4/3*m**4 - 8/3*m**2 + 4/3*m**3 = 0.
-1, 1, 2
Let p(d) be the first derivative of d**5/5 + 5*d**4/4 + d**3/3 - 21*d**2/2 - 18*d + 52. Let p(t) = 0. Calculate t.
-3, -1, 2
Solve 12*d**2 - 10*d**3 + 2*d**2 - 6*d + 2*d = 0 for d.
0, 2/5, 1
Let v be ((-10)/(-6) - 2)*18/(-18). Suppose -2/3*o**3 + 1/3*o**5 - v*o**4 + 0*o + 0*o**2 + 0 = 0. What is o?
-1, 0, 2
Let k(o) be the third derivative of o**5/105 - o**4/14 + 4*o**3/21 + 6*o**2. Factor k(p).
4*(p - 2)*(p - 1)/7
Let w = 909 + -4527/5. Let p be (-10)/25 - (-34)/10. Factor w*o**2 + 14/5*o**p + 0 + 4/5*o.
2*o*(o + 1)*(7*o + 2)/5
Suppose -3*l + 9 = 2*u, 7*u + 2*l - 11 = 4*u. Let b = u - 1. Factor g**3 - 2*g**4 - 2*g**3 + g**5 + g**4 + g**b.
g**2*(g - 1)**2*(g + 1)
Let f(x) be the third derivative of -1/3*x**3 + 0*x - 1/60*x**5 - 5*x**2 + 1/8*x**4 + 0. Factor f(c).
-(c - 2)*(c - 1)
Determine x, given that 0*x**2 + 7*x**2 + 8*x**3 - 4*x**3 - 3*x**2 = 0.
-1, 0
Suppose 0 = 4*g - g + 2*g. Let x(d) be the first derivative of 3/4*d**4 + d**3 + 1/2*d**2 + 3 + 1/5*d**5 + g*d. Factor x(t).
t*(t + 1)**3
Let k(r) be the first derivative of -r**7/280 - r**6/60 - r**5/40 - r**3 + 5. Let q(c) be the third derivative of k(c). Suppose q(m) = 0. Calculate m.
-1, 0
Suppose 4*o = -5*z - 6, 5*z - 2*o + 5*o + 7 = 0. Let i be (-135)/(-36) + 6/z. Solve 0*w + 1/4 - i*w**2 + 1/2*w**3 = 0 for w.
-1/2, 1
Let u = -31 + 33. Factor -2/5*h**u + 0*h + 0 + 2/5*h**3.
2*h**2*(h - 1)/5
Let l(k) = -k**3 - k**2 - 2*k + 1. Let r(o) = -2*o. Let n(s) = 2*l(s) - 3*r(s). Solve n(q) = 0.
-1, 1
Let v(b) be the second derivative of -10*b**7/147 + 22*b**6/105 + 3*b**5/35 - 11*b**4/21 + 4*b**3/21 + 17*b. Determine f so that v(f) = 0.
-1, 0, 1/5, 1, 2
Let d(s) be the third derivative of s**8/1008 - s**7/210 + s**6/180 + s**5/90 - s**4/24 + s**3/18 - 9*s**2. Factor d(q).
(q - 1)**4*(q + 1)/3
Let y(b) = 4*b**2 + 3*b - 1. Let t be (-1)/(6/(-4))*-6. Let s(q) be the third derivative of q**5/20 + q**4/8 - 3*q**2. Let p(f) = t*y(f) + 6*s(f). Factor p(x).
2*(x + 1)*(x + 2)
Factor -8/7*q + 0 + 8/7*q**3 - 4/7*q**4 + 4/7*q**2.
-4*q*(q - 2)*(q - 1)*(q + 1)/7
Suppose 3*d - 4*f - 3 = 0, -3*d + 8*d - 16 = 3*f. Let 0*o + 1/3*o**d + 0*o**3 + 0 + 0*o**2 + 1/3*o**4 = 0. Calculate o.
-1, 0
Let z(t) be the third derivative of -t**8/840 + t**7/175 - t**6/150 - t**5/75 + t**4/20 - t**3/15 + 3*t**2. What is v in z(v) = 0?
-1, 1
Let o(q) be the third derivative of -q**7/56 + q**6/40 + 3*q**5/40 - q**4/8 - q**3/8 + 35*q**2. Suppose o(r) = 0. Calculate r.
-1, -1/5, 1
Let 2/3*q + 0 + 0*q**2 - 2/3*q**3 = 0. Calculate q.
-1, 0, 1
Let o(h) be the first derivative of -h**9/13608 + h**8/3780 - h**6/810 + h**5/540 + 2*h**3/3 - 3. Let m(p) be the third derivative of o(p). Factor m(z).
-2*z*(z - 1)**3*(z + 1)/9
Let w(x) be the second derivative of x**4/8 + x**3 + 3*x**2 - 26*x. Determine y, given that w(y) = 0.
-2
Let v be (-6)/27 - (-148)/18. Factor v*q**3 - 8*q**2 + 0*q**2 - 3*q**4 + q**4.
-2*q**2*(q - 2)**2
Find o such that 4*o + o + 3*o**3 - 5*o = 0.
0
Let s(j) be the second derivative of -j**4/24 - 5*j**3/12 - j**2 - 14*j. Solve s(r) = 0 for r.
-4, -1
Suppose 0*h - 18 = -9*h. Let g(i) be the second derivative of -1/12*i**4 + 1/15*i**6 + h*i + 0*i**2 - 1/20*i**5 + 0 + 0*i**3. What is k in g(k) = 0?
-1/2, 0, 1
Let s(x) be the third derivative of -x**7/175 - x**6/120 + x**5/150 + x**4/120 - 10*x**2. Suppose s(n) = 0. Calculate n.
-1, -1/3, 0, 1/2
Suppose -13 - 15 = i + 5*o, -3*i = 4*o + 95. Let m = i - -35. Factor 1/4*q**m + 1 + q.
(q + 2)**2/4
Factor 180*q**2 + 50 + 72*q - 175*q**2 - 17*q.
5*(q + 1)*(q + 10)
Factor -4*z**2 - 2*z**2 + 3*z + 9*z**2.
3*z*(z + 1)
Let u(t) = 6*t - 36. Let v be u(6). Let y be (-5)/(-3) + 2/6. Suppose -2/7*n**4 + 4/7*n**3 + 2/7 - 4/7*n + v*n**y = 0. What is n?
-1, 1
Factor -2*f**2 - 26*f**3 + 14*f**2 - 2*f**2 + 35*f - 10 - 9*f**3.
-5*(f - 1)*(f + 1)*(7*f - 2)
Let r(c) = -7*c**3 + 10*c**2 - 11*c + 8. Let k(d) = -13*d**3 + 19*d**2 - 21*d + 15. Let t be 52/9 + 8/36. Let a(u) = t*k(u) - 11*r(u). Let a(z) = 0. What is z?
1, 2
Let a(m) be the second derivative of -4/33*m**3 + 0*m**2 + 7/11*m**7 - 3*m + 14/165*m**6 + 6/11*m**4 - 93/110*m**5 + 0. Suppose a(y) = 0. Calculate y.
-1, 0, 2/7, 1/3
Let q be (-2)/8 - (-210)/72. Factor 4*v**2 - 8/3*v**3 + 2/3*v**4 - q*v + 2/3.
2*(v - 1)**4/3
Let w(a) be the third derivative of a**6/540 - a**5/270 + 3*a**2. Factor w(j).
2*j**2*(j - 1)/9
Let f(o) be the second derivative of o**7/8820 - o**4/6 + 3*o. Let w(t) be the third derivative of f(t). Suppose w(q) = 0. What is q?
0
Let y = -11 - -17. Let i be y - 3 - 1 - 0. Factor 1/2 + 1/2*k**i - k.
(k - 1)**2/2
What is h in -2/9*h - 14/9*h**2 + 0 = 0?
-1/7, 0
Let a = -9 - -9. Let h(w) be the second derivative of -w + 0 + 1/48*w**4 + a*w**2 + 1/24*w**3. Factor h(m).
m*(m + 1)/4
Let d(n) be the first derivative of -2*n**5/45 - 5*n**4/18