- 1 = -3*x, 5*x = o + 15. Let g(z) = -6*z**2 - 2. Let q(t) = -t**2 + 3*t**3 + t**3 - 3*t**3 - 1 + t. Let r(v) = x*q(v) - g(v). Factor r(d).
2*d*(d + 1)**2
Let q(r) = 105*r**5 + 135*r**4 + 38*r**3 + 8*r - 8. Let x(s) = -70*s**5 - 90*s**4 - 25*s**3 - 5*s + 5. Let v(j) = -5*q(j) - 8*x(j). What is w in v(w) = 0?
-1, -2/7, 0
Let f be 9/(-54)*-123 + (-2 - -4). What is z in 0*z + z**2 + 17/2*z**3 + 0 + 18*z**5 + f*z**4 = 0?
-2/3, -1/3, -1/4, 0
Let a = -1 + 3. Let r be -1*1 + (-25)/(-5). Factor -2*m**3 + 4*m**2 - r - a*m + 4.
-2*m*(m - 1)**2
Let z(q) be the third derivative of -q**6/70 + q**5/105 + 12*q**2. What is k in z(k) = 0?
0, 1/3
Let p(y) be the third derivative of -2*y**7/945 + y**6/135 + y**5/45 - 2*y**4/27 - 8*y**3/27 + 33*y**2. Let p(l) = 0. Calculate l.
-1, 2
Factor -771*w**4 + 0 - 5*w**5 + 0 + 756*w**4 + 20*w**2.
-5*w**2*(w - 1)*(w + 2)**2
Let p be 2*3 + -5 + 1. Let s be 10/(-15) + p/3. Factor s + 1/5*t + 0*t**2 - 1/5*t**3.
-t*(t - 1)*(t + 1)/5
Let u(l) be the first derivative of -4*l**3/3 - 4*l**2 - 4. Factor u(g).
-4*g*(g + 2)
Factor t**4 + 0*t - 184*t**3 + 181*t**3 - 2 + t**2 + 3*t.
(t - 2)*(t - 1)**2*(t + 1)
Let f(k) be the third derivative of k**7/420 + k**6/180 - k**5/72 - k**4/72 - 27*k**2. Factor f(x).
x*(x - 1)*(x + 2)*(3*x + 1)/6
Let d be 102/(-14) + 2/7. Let r be 4/7*d/(-6). Factor -7/3*k + 2/3*k**2 - r + 7/3*k**3.
(k - 1)*(k + 1)*(7*k + 2)/3
Suppose 0 = -5*f + 2*o + 28 - 8, 4*f = -5*o - 17. Let x be -1 - ((-3)/2 - 0). Let u - 1/2*u**f - x = 0. Calculate u.
1
Let k(w) be the second derivative of -w**4/60 + w**3/30 - 20*w. Factor k(c).
-c*(c - 1)/5
Let q(v) be the first derivative of -v**6/720 + v**5/120 - v**4/48 - v**3/3 + 2. Let i(l) be the third derivative of q(l). Factor i(n).
-(n - 1)**2/2
Suppose 1/5*c**4 + 0 + 0*c + 0*c**2 + 1/5*c**3 = 0. Calculate c.
-1, 0
Factor 6/7*x**2 + 0*x + 2/7*x**3 + 0.
2*x**2*(x + 3)/7
Find y such that -17*y**3 - 127*y + 3*y**3 + 8 + 151*y - 18*y**2 = 0.
-2, -2/7, 1
Suppose 0*m = m + 3. Let x be (-3 + 0)*m/27. Determine y, given that -1/3*y**2 + 1/3*y**3 - 1/3*y + x*y**4 + 0 = 0.
-1, 0, 1
Let b(u) be the third derivative of 7*u**6/540 - u**5/5 + 8*u**4/9 + 32*u**3/27 - 2*u**2. Find k such that b(k) = 0.
-2/7, 4
Suppose 0 = -j - 5*g, 5*j = -0*g + 5*g. Let y(c) be the second derivative of 4*c + 1/4*c**4 + 1/10*c**6 + 0 + 0*c**2 + j*c**3 - 3/10*c**5. Factor y(l).
3*l**2*(l - 1)**2
Let v(i) be the first derivative of i**4 - 8*i**3/3 - 2*i**2 + 8*i + 5. Suppose v(t) = 0. Calculate t.
-1, 1, 2
Suppose 18*j = 13*j. Let d(r) be the second derivative of 1/5*r**2 - 2*r + j - 1/15*r**4 + 1/75*r**6 + 0*r**5 + 0*r**3. Let d(t) = 0. Calculate t.
-1, 1
Let s(z) be the third derivative of 1/20*z**5 + 0*z + 0 - z**2 - z**3 - 1/8*z**4. Factor s(g).
3*(g - 2)*(g + 1)
Let o(t) be the second derivative of -5*t**4/4 - 70*t**3/3 + 50*t**2 + 8*t - 1. Factor o(x).
-5*(x + 10)*(3*x - 2)
Let m = -4 + 2. Let d be (3/m)/(1/2). Let x(b) = 2*b**2 + 3*b + 7. Let g(l) = 10*l**2 + 14*l + 36. Let s(c) = d*g(c) + 16*x(c). Factor s(o).
2*(o + 1)*(o + 2)
Suppose -16 = 2*n - 4*o, 5*o - 14 = -n + 13. Factor m**n + 3*m - m + 0*m.
m*(m + 2)
Let y(g) be the third derivative of 0 + 4*g**2 - 1/80*g**5 + 1/16*g**4 + 1/8*g**3 - 1/80*g**6 + 0*g. Factor y(r).
-3*(r - 1)*(r + 1)*(2*r + 1)/4
Let n(f) be the first derivative of -f**4/6 - 2*f**3/3 - f**2 - 2*f + 3. Let q(j) be the first derivative of n(j). Factor q(p).
-2*(p + 1)**2
Let t(r) be the second derivative of -r**7/273 + r**6/195 + r**5/130 - r**4/78 + 4*r. What is d in t(d) = 0?
-1, 0, 1
Suppose -2*s = -0*b - b - 10, s = 4*b + 19. Let g(p) = p**3 + 3*p**2 - 5*p. Let y be g(b). Factor 1/2*r**y - r + 5/2*r**2 + 0 - 2*r**3.
r*(r - 2)*(r - 1)**2/2
Let u = 3/7 - -1/14. Let o = 5 + -9/2. Determine t, given that -t - o*t**2 - u = 0.
-1
Let y(z) be the second derivative of z**9/45360 + z**8/5040 + z**7/1512 + z**6/1080 + z**4/12 + 4*z. Let m(h) be the third derivative of y(h). Factor m(a).
a*(a + 1)**2*(a + 2)/3
Suppose -3*v = 2*h - 7*v + 16, -3*h = -4*v + 14. Factor 0 + 0*b + 2/9*b**h - 2/9*b**3.
-2*b**2*(b - 1)/9
Factor -1/4*p - 1/8*p**2 + 3/8*p**3 + 0.
p*(p - 1)*(3*p + 2)/8
What is m in -2 + 2*m**4 - 5*m**4 - 4*m**3 + m + 3*m + 5*m**4 = 0?
-1, 1
Let g(i) be the first derivative of i**6/180 - i**5/30 - i**4/4 + 2*i**3/3 + 2. Let j(s) be the third derivative of g(s). Solve j(m) = 0 for m.
-1, 3
Let c(l) be the second derivative of l**6/1980 - l**5/660 - l**4/66 - 2*l**3/3 - l. Let r(n) be the second derivative of c(n). Factor r(v).
2*(v - 2)*(v + 1)/11
Let d(b) be the third derivative of -4/15*b**5 - 4*b**2 - 7/6*b**4 + 0 - 4/3*b**3 + 2/15*b**6 + 0*b. Solve d(m) = 0.
-1/2, 2
Determine f so that 1 + 2*f**3 - f**4 - 2*f + 5*f**4 - 2*f**4 - 3*f**4 = 0.
-1, 1
Let g be 1/(-3)*-1*3. Suppose 0 = 3*q - 2*k + k - 3, -2*q + k = -g. Factor 4 + 4 - 6*p**2 - 6*p - 10 - q*p**3.
-2*(p + 1)**3
Let t(z) be the first derivative of z**7/28 + z**6/20 - 3*z**5/40 - z**4/8 - 2*z + 1. Let b(x) be the first derivative of t(x). Factor b(r).
3*r**2*(r - 1)*(r + 1)**2/2
Let r(j) be the second derivative of 0*j**2 - 2*j - 2/21*j**3 + 0 + 1/42*j**4. Find k such that r(k) = 0.
0, 2
Let q(v) be the third derivative of v**6/780 - v**4/156 - 3*v**2. Factor q(y).
2*y*(y - 1)*(y + 1)/13
Let t(c) be the third derivative of c**6/120 + c**5/60 - 5*c**4/24 + c**3/2 - 60*c**2. Find h such that t(h) = 0.
-3, 1
Let o(d) be the second derivative of 0 - 1/30*d**5 + 1/9*d**4 - 1/15*d**6 + 0*d**2 + 0*d**3 - d. Factor o(k).
-2*k**2*(k + 1)*(3*k - 2)/3
Let t(k) be the second derivative of k**4/8 - k**3/4 - 3*k**2/2 + 3*k. Factor t(p).
3*(p - 2)*(p + 1)/2
Suppose -5*u + 44 = -31. Let k be 4 + -2 + (-18)/u. Factor 2/5*x - k*x**3 + 0 + 2/5*x**2.
-2*x*(x - 1)*(2*x + 1)/5
Let l(y) = -y**3 - 1. Let a(v) = -20*v**3 + 24*v**2 - 18*v - 6. Let j(x) = -3*x + 13. Let u be j(11). Let d(n) = u*l(n) + 2*a(n). Let d(w) = 0. What is w?
2/5, 1
Let s(i) be the third derivative of -i**5/80 - i**4/8 - i**3/2 - 13*i**2. Factor s(f).
-3*(f + 2)**2/4
Let s(j) be the first derivative of 2*j**2 - 1/3*j**3 - 4*j - 4. Factor s(i).
-(i - 2)**2
Suppose -x + 2*x - 9 = -3*j, 0 = 5*j - 25. Let i(b) = -b**3 - 8*b**2 + 5*b - 6. Let d(g) = -g**2 + g - 1. Let k(n) = x*d(n) + i(n). Find a, given that k(a) = 0.
-1, 0
Suppose 0 = -3*i - 9 + 3. Let q be 28/12 + i/6. Solve -1 + q*z**2 - 3 + 4 - 4*z = 0.
0, 2
Let x(b) be the first derivative of -2*b + 0*b**3 - 2*b + 5*b - b**3 + 5 - b**2. Factor x(v).
-(v + 1)*(3*v - 1)
Let g(m) be the third derivative of m**6/420 + 2*m**5/105 + 5*m**4/84 + 2*m**3/21 - 6*m**2. Suppose g(w) = 0. What is w?
-2, -1
Factor -14*g**2 - 10*g**2 - 12 + 7*g**2 - 7*g**2 + 4*g**4 + 32*g.
4*(g - 1)**3*(g + 3)
Let p(h) be the first derivative of h**4 - 1 + 0*h - 2/5*h**5 + 0*h**2 - 2/3*h**3. Factor p(r).
-2*r**2*(r - 1)**2
Let h(v) be the first derivative of -2*v**5/25 - 9*v**4/10 - 18*v**3/5 - 27*v**2/5 - 6. Solve h(z) = 0 for z.
-3, 0
Let p(s) = -3*s**4 - 4*s**3 + 2*s**2 + 2*s + 3. Let y(u) = -19*u**4 - 25*u**3 + 13*u**2 + 12*u + 19. Let b(h) = -39*p(h) + 6*y(h). Factor b(c).
3*(c - 1)*(c + 1)**3
Find b, given that -3 + 9/2*b - 3/2*b**2 = 0.
1, 2
Let o(m) = -m**3 - 8*m**2 + 7*m - 12. Let a be o(-9). Let f(s) be the first derivative of 0*s**4 + 0*s**5 + 0*s**3 + 1 + 0*s**2 + 0*s - 1/18*s**a. Factor f(h).
-h**5/3
Solve -23/5*m - 7/5*m**3 - 4/5 + 4/5*m**4 - 6*m**2 = 0.
-1, -1/4, 4
Suppose 7 = z - 0*z + r, z = 4*r - 8. Factor 0 - 2/13*u**2 + 2/13*u**z + 4/13*u - 4/13*u**3.
2*u*(u - 2)*(u - 1)*(u + 1)/13
Let q be (-141 + 143)*1/4. Solve -1/4*l**2 + 3/4*l - 3/4*l**3 - 1/4*l**4 + q = 0.
-2, -1, 1
Let d(b) be the third derivative of 0*b + 1/40*b**6 + 1/20*b**5 + 0 - 1/2*b**3 + b**2 - 1/8*b**4. Factor d(t).
3*(t - 1)*(t + 1)**2
Determine k, given that -5*k + 2*k**4 - 10*k**2 - k - 10*k**3 + 13*k**2 + 11*k**2 = 0.
0, 1, 3
Suppose -h = 2*h. Suppose -3*v + 4 + 2 = h. Factor 2*a - v*a**2 + 1 - 3*a**2 - 1 + 2*a**3.
a*(a - 2)*(2*a - 1)
Factor 4/3*r**3 + 31/3*r**2 + 56/3*r - 16/3.
(r + 4)**2*(4*r - 1)/3
Let r(a) = -15*a**5 + 51*a**4 + 21*a**3 - 21. Let q(f) = -3*f**5 + 10*f**4 + 4*f**3 - 4. Let w(n) = -21*q(n) + 4*r(n). Factor w(x).
3*x**4*(x - 2)
Factor 0*k + 0*k**2 + 0 - 1/4*k**3.
-k**3/4
Determine o, given that 0 + 2/3*o + 0*o**2 - 6*o**3 = 0.
-1/3, 0, 1/3
Let p(u) be