ctor q(g).
2*g**3*(g - 1)**2/5
Let v(c) = -7*c**2 + c. Let x(u) = -27 + u**2 + 27. Let b(d) = v(d) + 6*x(d). Let b(l) = 0. Calculate l.
0, 1
Factor -15 + 5*c**3 - 6*c**2 - 11*c**3 + c**2 + c**3 + 25*c.
-5*(c - 1)**2*(c + 3)
Let p(b) be the third derivative of -b**6/240 - 13*b**5/240 - b**4/4 - 3*b**3/8 - b**2. Factor p(z).
-(z + 3)**2*(2*z + 1)/4
Let m(p) be the second derivative of p**4/6 - 22*p**3/3 + 121*p**2 - 20*p. Factor m(q).
2*(q - 11)**2
Determine z so that 32*z + 27 + 18*z + 3*z**2 - 5*z - 15*z = 0.
-9, -1
Let k(b) = -b**2 + b - 1. Let f(s) = 2*s**3 - 5*s**2 + 3*s - 1. Let h(v) = f(v) - k(v). Factor h(p).
2*p*(p - 1)**2
Let m(u) = 6*u**5 - 4*u**4 + 3*u**3 + 5*u + 5. Let l(v) = -7*v**5 + 5*v**4 - 4*v**3 - 6*v - 6. Suppose -w + 2 = -4. Let h(q) = w*m(q) + 5*l(q). Solve h(k) = 0.
-2, 0, 1
Let k = -117719/120 + 981. Let j(z) be the second derivative of 0*z**2 - z + 0 + 1/36*z**4 + 0*z**3 + k*z**5. Factor j(d).
d**2*(d + 2)/6
Let h(s) be the first derivative of 2*s**3/21 - 6. Factor h(c).
2*c**2/7
Factor -30/7*l + 75/7 + 3/7*l**2.
3*(l - 5)**2/7
Let z be (0 + -1 + -2 + 3)/(-4). Factor 3/2*n**5 - n**2 + z + 0*n - 4*n**4 + 7/2*n**3.
n**2*(n - 1)**2*(3*n - 2)/2
What is o in -2/13*o**2 + 4/13 + 2/13*o = 0?
-1, 2
Let h(y) be the first derivative of -3*y**4/20 + 2*y**3/5 - 3*y**2/10 - 9. Solve h(r) = 0.
0, 1
Let z be (-4)/(-14) - 152/(-399). What is u in -2/3*u + 0 + z*u**2 = 0?
0, 1
Let h be ((-12)/(-10))/(16/40). Find n, given that -2/3*n**2 - 2/9 + 2/9*n**h + 2/3*n = 0.
1
Suppose 24 = 14*s - 18. Factor 2/3*h**s - 1/3*h**4 + 0*h + 0 - 1/3*h**2.
-h**2*(h - 1)**2/3
Let f(r) = -13*r**4 - 16*r**3 + 16*r + 13. Let n = -20 + 25. Let z(c) = 6*c**4 + 8*c**3 - 8*c - 6. Let w(o) = n*z(o) + 2*f(o). Let w(l) = 0. What is l?
-1, 1
Suppose 87*m + 141 = 134*m. Let -10*t**5 + 0 - 20*t**4 + 8/5*t - 42/5*t**m + 16/5*t**2 = 0. What is t?
-1, -2/5, 0, 2/5
Let w(c) = 7*c**2 - 4*c + 2. Let s(o) = -3*o**2 + 2*o - 1. Let j(d) = -5*s(d) - 2*w(d). Factor j(n).
(n - 1)**2
Let r be (1/(-5))/((-5)/(-365)). Let a = -501/35 - r. Factor -a*u**2 - 2/7 - 4/7*u.
-2*(u + 1)**2/7
Let g = 82 - 572/7. Factor -1/7*j**3 - 3/7*j**2 + g + 1/7*j**4 + 1/7*j.
(j - 2)*(j - 1)*(j + 1)**2/7
Factor 2/13 + 2/13*k**2 + 4/13*k.
2*(k + 1)**2/13
Let r be -1 + (4 - 4) - -13. Suppose 0 = 6*b - 10*b + r. Solve 8/3*h - 2/3*h**4 - 2/3 + 8/3*h**b - 4*h**2 = 0 for h.
1
Let q(y) be the third derivative of 0 + 0*y - 6*y**2 + 1/120*y**6 + 0*y**4 + 1/30*y**5 + 0*y**3. Determine h, given that q(h) = 0.
-2, 0
Let d(y) = -5*y + 5. Let p(v) = v**2 - v. Let b(a) = d(a) + 5*p(a). Find t, given that b(t) = 0.
1
Let c(f) = -5*f**3 + 11*f**2 - 6*f + 4. Let g(r) = 5 + 4 - 9*r**3 - 12*r + 16*r**2 - 6*r**2 + 11*r**2. Let p(s) = -9*c(s) + 4*g(s). Factor p(x).
3*x*(x - 1)*(3*x - 2)
Let r(u) = -6*u - 24. Let l be r(-5). Let m(x) be the second derivative of 0*x**4 + 0*x**2 + 0 + 0*x**3 + 1/10*x**5 - 1/30*x**l - 2*x. Factor m(f).
-f**3*(f - 2)
Let w(l) = -2*l**4 + 2*l**3 - 11*l**2. Let i be -11*(-3)/(-6)*2. Let a(g) = -g**4 + g**3 - 6*g**2. Let t(m) = i*a(m) + 6*w(m). Factor t(q).
-q**3*(q - 1)
Suppose -3 + 1 = -c. Determine u, given that -2*u + 1 + c - u**2 - 4 = 0.
-1
Let h(f) = f - 3. Let n be h(5). Let 2*v**4 - 7*v**4 - v**4 - 2*v**3 - n*v**5 + 2*v**4 = 0. Calculate v.
-1, 0
Factor 3*f - 8*f - 4*f**3 + 12*f**2 - 4*f + f.
-4*f*(f - 2)*(f - 1)
Factor 8/7*u**2 + 6/7*u**3 - 4/7*u**4 - 8/7*u + 0 - 2/7*u**5.
-2*u*(u - 1)**2*(u + 2)**2/7
Let n = 671 - 13417/20. Let o(l) be the first derivative of 2 + n*l**5 + 0*l**4 - 1/4*l**3 + 0*l + 0*l**2. Factor o(v).
3*v**2*(v - 1)*(v + 1)/4
Let h(v) be the third derivative of v**5/40 - v**4/6 - v**3/4 + 3*v**2. Factor h(g).
(g - 3)*(3*g + 1)/2
Let t(z) be the second derivative of z**7/120 - z**6/240 - 7*z**5/240 + z**4/48 + z**2 - 2*z. Let a(s) be the first derivative of t(s). Factor a(n).
n*(n - 1)*(n + 1)*(7*n - 2)/4
Let k(f) be the third derivative of f**8/840 + f**7/210 - f**6/180 - f**5/30 - f**3/3 + 4*f**2. Let g(b) be the first derivative of k(b). Factor g(v).
2*v*(v - 1)*(v + 1)*(v + 2)
Let n(k) be the third derivative of k**5/60 - 3*k**2. Let o(a) = -2*a**3 + a**3 - 6*a**2 - a + 2*a. Let f(h) = -6*n(h) - o(h). Factor f(r).
r*(r - 1)*(r + 1)
Let s(a) be the first derivative of -2*a**3/27 + 2*a**2 - 18*a + 11. Solve s(c) = 0 for c.
9
Suppose -12*l**2 - 29*l + 3*l**3 - 4*l**3 + 0*l**2 - 64 - 19*l = 0. Calculate l.
-4
Let q be (6/(-4))/((-102)/48 + 1). Let -5/3*m**5 + 8/3*m**4 - q*m + 0 - 8/3*m**2 + 3*m**3 = 0. What is m?
-1, -2/5, 0, 1, 2
Let l = -3 + 5. Suppose 2*w + 6 = g, 4*g = 4*w + 19 - 3. Determine o, given that -3*o - g*o**2 + 6*o - l + o = 0.
1
Suppose 0 = -6*r + 4*r + 3*w - 12, 24 = -r - 3*w. Let q be (-9)/r*(-2)/(-3). Find h such that -1/4*h**2 + 0 - q*h = 0.
-2, 0
Let k be 3/6 + (-14)/(-4). Factor r**2 - k - r**5 + 4 + 3*r**3 + 0*r**2 - r**4 - 2*r.
-r*(r - 1)**2*(r + 1)*(r + 2)
Let l(f) be the third derivative of f**6/150 - f**5/15 + 7*f**4/30 - 2*f**3/5 - 44*f**2. Suppose l(a) = 0. What is a?
1, 3
Let h(c) be the third derivative of 0*c**4 - 1/105*c**7 + 0*c**3 + 0 + 0*c + 1/75*c**5 + 1/100*c**6 - 3*c**2. Find k, given that h(k) = 0.
-2/5, 0, 1
Let k = -81/2 - -247/6. Factor 4/9 + k*r + 2/9*r**2.
2*(r + 1)*(r + 2)/9
Let v(s) be the second derivative of s**4/6 - s**3 + 2*s**2 + 23*s. Factor v(i).
2*(i - 2)*(i - 1)
Let l = -808 - -4054/5. Let 22/5*n**2 + l*n**4 - 4/5*n - 32/5*n**3 + 0 = 0. Calculate n.
0, 2/7, 1
Let u(y) be the second derivative of y**8/6720 + y**7/1260 + y**6/720 - y**4/12 - y. Let p(m) be the third derivative of u(m). Factor p(l).
l*(l + 1)**2
Let z(l) be the first derivative of 1/2*l**2 + l**3 + 1/5*l**5 + 3/4*l**4 + 0*l - 1. Find b, given that z(b) = 0.
-1, 0
Let m(o) be the third derivative of o**7/1155 + o**6/132 + 4*o**5/165 + o**4/33 + 3*o**2. Factor m(l).
2*l*(l + 1)*(l + 2)**2/11
Let z(y) be the second derivative of 1/9*y**3 - 3*y + 0*y**2 - 1/36*y**4 + 0. Factor z(t).
-t*(t - 2)/3
Let j(y) be the second derivative of y**6/24 + y**5/4 - 5*y**4/8 - 5*y**3/6 + 25*y**2/8 - 4*y. Let j(l) = 0. What is l?
-5, -1, 1
Find t, given that -90*t**2 - 5*t**3 - 1350*t + 14*t**3 - 6750 - 11*t**3 = 0.
-15
Suppose -2 + 0 = -2*v, -3*x = 5*v - 17. Suppose 13*m + x = 15*m. Factor 18/5*s**3 - 6*s**m + 14/5*s - 2/5.
2*(s - 1)*(3*s - 1)**2/5
Factor 5*n**4 - 5 - 10*n**4 + 10*n**5 - 5*n**3 + 5.
5*n**3*(n - 1)*(2*n + 1)
Let k(g) be the third derivative of -g**7/350 + g**6/100 - g**4/20 + g**3/10 + 7*g**2. What is m in k(m) = 0?
-1, 1
Let h be 8/(1/(-2) - 65/(-10)). Let l(p) = 2*p. Let a be l(1). Factor h*w - 2/3 - 2/3*w**a.
-2*(w - 1)**2/3
Let g(d) be the third derivative of -d**7/105 + d**6/15 - 38*d**2. Factor g(z).
-2*z**3*(z - 4)
Let o(b) be the third derivative of 0 - 1/24*b**4 + 5*b**2 + 0*b**3 + 0*b - 1/60*b**5. What is u in o(u) = 0?
-1, 0
Find g such that g + 0*g**5 - 22*g**4 + 18*g**3 - 2*g**2 - 3*g + 8*g**5 = 0.
-1/4, 0, 1
Let f be (-18)/(-24) + (-10)/(-8). Let h(w) = -w**3 + 3*w**2 - 2*w. Let n be h(f). Factor 2/7*i**2 - 2/7*i**3 + n - 2/7*i**4 + 2/7*i**5 + 0*i.
2*i**2*(i - 1)**2*(i + 1)/7
Let r(u) = -u**2 + 6*u - 4. Let z be r(4). Let p = 6 + -4. Determine j, given that 4*j**3 + j - 3/2*j**z - 7/2*j**p + 0 = 0.
0, 2/3, 1
Let c = 6/23 - -11/46. Solve c*y**2 + 1/2 + y = 0.
-1
Factor 2/3 + 0*j - 4/3*j**2 + 0*j**3 + 2/3*j**4.
2*(j - 1)**2*(j + 1)**2/3
Let l be (7/88)/(9/36). Let y(u) be the first derivative of 8/33*u**6 + 0*u - 1/11*u**2 - l*u**4 - 12/55*u**5 - 4 + 4/11*u**3. Solve y(z) = 0.
-1, 0, 1/4, 1/2, 1
Let w(p) = -13*p**2 + 6*p + 1. Let v = 6 - 3. Let z(q) = -v*q + 4 - q**2 + 0 + 2*q - 3. Let x(k) = w(k) - 3*z(k). Factor x(g).
-(2*g - 1)*(5*g - 2)
Let x(j) be the third derivative of -j**9/241920 + j**8/40320 + j**7/20160 - j**6/1440 - j**5/15 + j**2. Let i(a) be the third derivative of x(a). Factor i(f).
-(f - 2)*(f - 1)*(f + 1)/4
Let v(n) be the second derivative of n**8/33600 - n**6/3600 + n**4/6 - n. Let y(o) be the third derivative of v(o). Determine t, given that y(t) = 0.
-1, 0, 1
Let c = 27 + -11. Suppose c*j + 4*j**2 - 16*j = 0. What is j?
0
Let p(b) = -b**2 + 6*b - 3. Let h be p(5). Let g(l) be the first derivative of 2 - 14/3*l**3 - 2*l - 3/2*l**4 - 5*l**h. Factor g(m).
-2*(m + 1)**2*(3*m + 1)
Let a(l) be the third derivative of -9*l**7/70