2*o**3/3 - 3*o**2 + 4. Factor i(z).
2*z*(z - 3)
Let k be (19/4 + -5)/(6/(-6)). Factor 0*u + 0 + k*u**2.
u**2/4
Suppose -3*k + 0*k + l = -27, 3*l = 0. Suppose -5*t - 15 = 0, -5*s = 5*t - 3*t - k. Factor 0*w**2 + 0 + 4/3*w**5 + 1/3*w**s + 5/3*w**4 + 0*w.
w**3*(w + 1)*(4*w + 1)/3
Let a(q) be the first derivative of -q**6/8 - 3*q**5/20 + 3*q**4/8 + 6. Let a(g) = 0. What is g?
-2, 0, 1
Find m such that -1/2*m**4 + 5/2*m**2 + 0*m**3 - 2 + 0*m = 0.
-2, -1, 1, 2
Let z(j) be the second derivative of j**4/54 + j**3/27 - 2*j**2/9 + 4*j. Factor z(a).
2*(a - 1)*(a + 2)/9
Let g(i) be the second derivative of -3*i**5/20 + i**4/2 - i**3/2 + i + 11. Let g(b) = 0. Calculate b.
0, 1
Let l(h) be the third derivative of -h**5/15 - h**4/3 + 4*h**2 + 6. Factor l(f).
-4*f*(f + 2)
Suppose 14*h = 17*h - 33. Suppose 3 = -4*g + h. What is j in -2/5*j**g - 2/5*j**5 + 0 + 2/5*j**4 + 2/5*j**3 + 0*j = 0?
-1, 0, 1
Let l(q) be the third derivative of q**8/840 - q**7/420 + q**3/3 + 8*q**2. Let n(d) be the first derivative of l(d). Factor n(f).
2*f**3*(f - 1)
Let c(d) be the third derivative of -d**5/60 - d**4/24 - 13*d**2. Find r such that c(r) = 0.
-1, 0
Let h(b) = 11*b**2 + 36*b + 51. Let u(n) = 120*n**2 + 395*n + 560. Let a(y) = -65*h(y) + 6*u(y). Let a(r) = 0. What is r?
-3
Let p = 13 + -11. Suppose -p*y = 2*y - 16. Find z, given that -5/2*z**2 - 5/2*z + 3*z**y - 1/2 + 5/2*z**3 = 0.
-1, -1/2, -1/3, 1
Let i(v) = -9*v**2 - 9*v + 7. Let p(a) = -6*a + 5 + 4*a**2 - 4*a**2 - 6*a**2. Let y(j) = -5*i(j) + 7*p(j). Factor y(k).
3*k*(k + 1)
Let t(k) be the first derivative of k**4/2 - 8*k**3/3 + 5*k**2 - 4*k + 13. Factor t(j).
2*(j - 2)*(j - 1)**2
Suppose v - 12 = 2*s + s, 3*s - 4*v + 21 = 0. Let y be 8/(-6)*s/2. Suppose -w + 5/3*w**y - 2/3 = 0. What is w?
-2/5, 1
Suppose 3*c - 2*a = -372, -3*c - 372 = -a - 2*a. Let t = -493/4 - c. Factor 3/4*d**2 + 1/4 + 1/4*d**3 + t*d.
(d + 1)**3/4
Let y(v) be the third derivative of -v**6/360 + v**5/30 - v**4/6 + v**3/3 - 2*v**2. Let f(n) be the first derivative of y(n). Factor f(w).
-(w - 2)**2
Determine r, given that 0*r - 6/7*r**3 + 2/7*r**4 + 0 + 4/7*r**2 = 0.
0, 1, 2
Find s, given that s**2 + 2*s**3 - 5*s**3 - 3 - 3*s**2 + 5*s**2 + 3*s = 0.
-1, 1
Let n(q) be the first derivative of 9/35*q**5 + 15/7*q**3 + 33/28*q**4 + 27/14*q**2 + 2 + 6/7*q. Determine t so that n(t) = 0.
-1, -2/3
Let x = -249 - -2245/9. Let r be 6/8*-2*-2. Factor -14/9*j**2 + 2/3*j**r + x*j + 0.
2*j*(j - 2)*(3*j - 1)/9
Let h(s) = -s**3 - 23*s**2 - 21*s + 22. Let k be h(-22). Suppose 0*f - 4/7*f**3 - 2/7*f**2 - 2/7*f**4 + k = 0. What is f?
-1, 0
Suppose o + 1 = -0*o. Let n(j) = j**3 + 3*j**2 + 2*j. Let a be n(o). What is w in -1/2*w**5 + 0 + 0*w**3 + 0*w**2 + 0*w**4 + a*w = 0?
0
Let v be (-2*4/(-2))/1 - 1. Let s(j) be the first derivative of 4/9*j**v + 0*j - 1/6*j**4 - 1 + 0*j**2. Factor s(w).
-2*w**2*(w - 2)/3
Factor -1/2*w**4 + 5/2*w**2 + 3/2*w + 0 + 1/2*w**3.
-w*(w - 3)*(w + 1)**2/2
Let g(t) = t**2 + 2*t + 6. Let d be g(-4). Let o be (-18)/56 + 8/d. Suppose 0 + x**4 - 3/2*x**3 - 1/4*x**5 + x**2 - o*x = 0. What is x?
0, 1
Let l be 1 + 3 + -3 + 2. Suppose 2*t - 2 = 5*a - 3, l*t - 2 = 4*a. Find k, given that 1/2 - t*k + 3/2*k**2 = 0.
1/3, 1
Let s(d) be the third derivative of d**5/20 - 15*d**4/32 - d**3/2 - d**2. Factor s(b).
3*(b - 4)*(4*b + 1)/4
Let d(k) = k + 11. Let f be d(-8). Let c be f + 0 - (-44)/(-16). Solve 3/4*z**3 - z**5 - 5/4*z**2 + 0 + c*z + 5/4*z**4 = 0.
-1, 0, 1/4, 1
Let i(q) be the first derivative of 0*q + 2/3*q**3 - 1/4*q**4 - 1/2*q**2 - 4. Factor i(d).
-d*(d - 1)**2
Let j(d) = d**2 + 2*d - 10. Suppose -5*g + 0*g - 25 = 0. Let i be j(g). Find q, given that 0*q - 7/3*q**4 + 2/3*q**3 + 0*q**2 - 4/3*q**i + 0 = 0.
-2, 0, 1/4
Let p(b) = 4*b**2 + 2*b. Let s be p(-3). Let z be s/9*(-12)/(-10). Factor -z*x**2 - 5*x**3 + 0*x - 2*x + 0*x**3 + 3*x**3.
-2*x*(x + 1)**2
Suppose -3*u + u = -8. Let a = 65/3 + -64/3. Suppose 1/3 - 5/3*n - a*n**2 + 17/3*n**3 + 4*n**u = 0. What is n?
-1, 1/4, 1/3
Let m(q) = q - 6. Let y be m(10). Factor -u**3 - y*u**4 - 7*u**2 + 9*u**3 + 3*u**2.
-4*u**2*(u - 1)**2
Factor -z**5 - z + 164*z**4 - 166*z**4 + 3*z**3 + 4*z**2 - 3*z.
-z*(z - 1)**2*(z + 2)**2
Let s(j) = 13*j**5 - 11*j**4 + 6*j**3 + 11*j**2 + 2*j + 7. Let a(r) = -7*r**5 + 5*r**4 - 3*r**3 - 5*r**2 - 2*r - 4. Let t(o) = -7*a(o) - 4*s(o). Solve t(g) = 0.
-1, 0, 1, 2
Let z(f) = f - 3. Let j be z(5). Determine d so that -j + 3*d**3 + 2 - d**2 - 2*d**3 = 0.
0, 1
Factor -1/3*l**2 - 1/3*l**3 + 1/3*l + 1/3*l**4 + 0.
l*(l - 1)**2*(l + 1)/3
Let y(z) be the third derivative of 2*z**7/45 - 8*z**6/45 - z**5 - 7*z**4/9 + 16*z**3/9 + 11*z**2. Find o, given that y(o) = 0.
-1, 2/7, 4
Let v be 15/2*(-16)/(-72). Let w(k) be the first derivative of 4/3*k - 14/9*k**3 - v*k**2 + 1. Factor w(m).
-2*(m + 1)*(7*m - 2)/3
Suppose j + 3 = 2. Let d be j/(-2)*(-6)/(-1). Suppose 6*s**3 - 24*s**5 + 10*s**4 + 0*s**d - s**3 - s**3 = 0. What is s?
-1/4, 0, 2/3
Let a be 7*(-4 - -1*6). Find o such that a*o + 3*o**2 - 23/2*o**3 + 7/2*o**4 - 4 = 0.
-1, 2/7, 2
Let l(w) = 6*w**2 + 8*w - 14. Let c(g) = -g**2 + 1. Let h(s) = -8*c(s) - l(s). Determine o, given that h(o) = 0.
1, 3
Factor 9*u + u**2 + 11*u**2 + 2 - 3*u**2.
(3*u + 1)*(3*u + 2)
Let m be 1/(-1) - (1 - 2). Let w = -1079/2 - -540. Solve 0*g + w*g**2 + m = 0.
0
Let p be (-6)/9*2*(-9)/16. Let 0*d**2 + p*d**3 + 1/2*d**4 - 1/4*d + 0 = 0. Calculate d.
-1, 0, 1/2
Let m(c) be the third derivative of -5*c**7/126 + c**6/12 + 11*c**5/180 - c**4/6 - 2*c**3/9 + 8*c**2. Factor m(x).
-(x - 1)**2*(5*x + 2)**2/3
Let h(t) = -21*t**4 - 4*t**3 + 9*t**2 - 8*t - 6. Suppose 0 = -4*q - r + 29 - 5, 0 = r. Let l(a) = -a**4 - a - 1. Let f(s) = q*l(s) - h(s). Solve f(m) = 0.
-1, 0, 1/3, 2/5
Factor 0*v - 9/5*v**4 + 6/5*v**3 + 3/5*v**2 + 0.
-3*v**2*(v - 1)*(3*v + 1)/5
Let a(u) be the third derivative of -9*u**8/560 + 39*u**7/350 - 43*u**6/200 - 7*u**5/100 + 2*u**4/5 + 2*u**3/5 + 3*u**2. Find o such that a(o) = 0.
-1/3, 1, 2
Suppose -6*a + 3*a + 1 = 4*h, 0 = -a - 5. Factor 0*b**h + 0 + 2/7*b**5 + 0*b - 2/7*b**3 + 0*b**2.
2*b**3*(b - 1)*(b + 1)/7
Let a(c) be the third derivative of c**6/120 - c**4/8 + c**3/3 + 5*c**2. Factor a(d).
(d - 1)**2*(d + 2)
Let k(r) = -5*r**2 - 2*r + 13. Let t(b) = -b - 1. Let x(u) = -k(u) - 3*t(u). Factor x(q).
5*(q - 1)*(q + 2)
Suppose -2/5*k**3 - 2/5*k - 4/5*k**2 + 0 = 0. Calculate k.
-1, 0
Let s(c) be the third derivative of -c**6/360 - c**5/120 + c**3/3 + c**2. Let n(v) be the first derivative of s(v). Solve n(u) = 0 for u.
-1, 0
Factor -4*x**4 - 145*x**5 - 8*x**4 + 148*x**5 + 9*x**3.
3*x**3*(x - 3)*(x - 1)
Let b be ((-11)/(-264))/(1 - 0). Let l(r) be the third derivative of r**2 + 0*r + b*r**3 - 1/96*r**4 - 1/40*r**5 + 0. Let l(s) = 0. Calculate s.
-1/2, 1/3
Let s(d) = 4*d**4 + 4*d**3 - 3*d**2 - 3. Let x(t) = 6 - 2*t**2 - 3 + 3*t**3 - 5 + 3*t**4. Let q(r) = 2*s(r) - 3*x(r). Let q(y) = 0. Calculate y.
-1, 0
Suppose -3*a - 3*o + 0*o = 3, 2*a - 3*o = 13. What is r in r**a + 3*r**3 + 3*r**4 - 2*r**4 - 2*r**4 - r - 2*r**3 = 0?
-1, 0, 1
Let x(a) = 5*a**3 + 15*a**2 + 18*a + 3. Let j(t) = 18*t + 16*t**2 - 55*t**3 + 61*t**3 - 2 + 6. Let h(c) = 3*j(c) - 4*x(c). Factor h(n).
-2*n*(n + 3)**2
Let w be 1 - (-3 - (-36)/3). Let v = -6 - w. Factor 0*s - 1/2 + 1/2*s**v.
(s - 1)*(s + 1)/2
Factor -14/3*z + 8/3*z**2 - 4/3.
2*(z - 2)*(4*z + 1)/3
Let r(y) be the first derivative of -y**6/18 - 4*y**5/45 + y**4/18 + 4*y**3/27 + y**2/18 - 31. Let r(f) = 0. Calculate f.
-1, -1/3, 0, 1
Suppose -3*m + 5 = 4*d, -2*d + 2*m = 3*m - 3. Let y be (-3)/18*(0 - 4). Factor 4/3*c**3 + 2/3 + 0*c**d - 4/3*c - y*c**4.
-2*(c - 1)**3*(c + 1)/3
Let v(f) be the third derivative of 0 + 1/10*f**3 - 1/100*f**5 + 3*f**2 + 0*f + 0*f**4. What is a in v(a) = 0?
-1, 1
Let d(y) = y + 9. Let x be d(-5). Let a be 14/24 - 0 - 2/8. Factor -4/3*m**x + 0 - 2/3*m**2 - a*m + 7/3*m**3.
-m*(m - 1)**2*(4*m + 1)/3
What is l in -3*l**2 + 3*l**2 + 9*l - 4*l**2 - 3 - 5*l**2 + 3*l**3 = 0?
1
Let d = 18 + -21. Let k(u) = 2*u**3 + 3*u**2 + 5. Let r(v) = -3*v**3 - 5*v**2 - v - 9. Let b(x) = d*r(x) - 5*k(x). Factor b(s).
-(s - 2)*(s + 1)**2
Let r(d) = d + 9. Let k be r(-5). Suppose 2*t = 6 - 2. Factor 2/3*n**3 + 0 + 0*n**t + 2/3*n**5 + 0*n - 4/3*n**k.
2*n**3*(n - 1)**2/3
Factor -5*p - 3 + 3*p**2 + 20*p**3 - 7*p - 8*p**3.
3*(p - 1)*(p + 1)*