9 + 2*f**2/3 - 2*f. Factor o(g).
-(g - 2)*(g + 1)*(g + 2)/3
Let a = -1072/3 + 358. Suppose 2*b + 4/3 + a*b**2 = 0. What is b?
-2, -1
Let u(p) = -13*p**4 + 5*p**3 + 3*p**2 + 5. Let g(r) = -20*r**4 + 7*r**3 + 5*r**2 + 8. Let i(o) = -5*g(o) + 8*u(o). Find m, given that i(m) = 0.
0, 1/4, 1
Suppose 4*h - 25 + 5 = 0. Suppose -10 = x + h*v + 12, 3*x - 4*v - 29 = 0. Find b such that 0*b**2 + 4*b**x - b**2 - 6*b**3 + 9*b**2 - 8*b = 0.
0, 2
Let i(r) = r + 6. Let l be i(-8). Let d be (-21)/l*8/12. Suppose 9*q**2 + 2*q + d*q - 6*q**3 - 3*q - 9*q**4 = 0. What is q?
-1, -2/3, 0, 1
Suppose 63 + 7 = 5*i. Find w, given that 5*w - 20*w**2 - 5*w + i*w**2 - 2*w**3 = 0.
-3, 0
What is u in 0*u**2 - 2/7*u**5 + 0*u + 0*u**4 + 0 + 2/7*u**3 = 0?
-1, 0, 1
Let g(f) be the first derivative of f**3/9 + 13*f**2/3 + 169*f/3 - 19. Factor g(v).
(v + 13)**2/3
Let w(t) = t**2 + 3*t + 2. Let a be w(-2). Suppose a = -z - k + 4, 1 = 4*z - 3*k - 1. Factor 0*f + 0 + 1/4*f**3 + 0*f**z.
f**3/4
Let p(u) be the first derivative of 1/10*u**4 + 1/15*u**3 + 0*u + 1/25*u**5 + 0*u**2 + 3. Factor p(j).
j**2*(j + 1)**2/5
Let j = -254 + 2288/9. Factor j*o**2 + 2/3*o + 4/9.
2*(o + 1)*(o + 2)/9
Let n(a) be the second derivative of -1/24*a**4 - 3/2*a**2 - 1/60*a**5 + 0*a**3 - 3*a + 0. Let q(m) be the first derivative of n(m). Solve q(r) = 0.
-1, 0
Let g = -11 + 16. Let p(q) be the third derivative of -1/30*q**6 + 0*q**g + 0 - 1/105*q**7 + 0*q - q**2 + 1/6*q**4 + 1/3*q**3. Determine w so that p(w) = 0.
-1, 1
Let v = 23 - 12. Let g = v - 9. Factor 1/4 - 1/4*u**g + 0*u.
-(u - 1)*(u + 1)/4
Let d(o) be the second derivative of 0*o**2 - 3/20*o**5 + 9*o + 1/2*o**3 + 1/10*o**6 + 0 - 1/4*o**4. Factor d(n).
3*n*(n - 1)**2*(n + 1)
Factor -4/3*j - 8/9 - 4/9*j**2.
-4*(j + 1)*(j + 2)/9
Let g(h) = h - 7. Let m be g(9). Let i(v) be the third derivative of 1/180*v**6 - 1/36*v**4 + 0*v**5 - 3*v**m + 0 + 0*v**3 + 0*v. Factor i(s).
2*s*(s - 1)*(s + 1)/3
Let l = 16 - 14. Suppose 18*x - 18*x**3 - 4 - 22*x**4 + 4*x**2 + 9*x**l + 13*x**2 = 0. What is x?
-1, 2/11, 1
Let v be (-8)/28 + 4/14. Let t(w) be the first derivative of 2/3*w**3 - 2 + v*w + w**2. Factor t(s).
2*s*(s + 1)
Suppose -4 - 12 = -4*s. Factor 31*l + 3*l**s - 6 - 3*l**3 - 7*l**2 - 16*l - 2*l**2.
3*(l - 1)**3*(l + 2)
What is x in 8/13*x + 30/13*x**3 - 14/13*x**4 + 2/13*x**5 - 2*x**2 + 0 = 0?
0, 1, 4
Let u = -1667/5 - -335. Find k such that 6/5*k**2 - u + 2/5*k**4 + 8/5*k**3 - 8/5*k = 0.
-2, -1, 1
Let t(x) be the third derivative of -x**5/78 - x**4/156 - 12*x**2. Factor t(k).
-2*k*(5*k + 1)/13
Let j(d) be the first derivative of -1 + 1/6*d**4 - 2/3*d**3 - 2/3*d + d**2. Find m such that j(m) = 0.
1
Let k = 1/165 + 107/495. Determine q, given that -2/9*q**3 + 0 - k*q + 4/9*q**2 = 0.
0, 1
Let h(x) be the third derivative of -6*x**2 + 0 - 1/30*x**5 + 0*x - 1/6*x**4 + 0*x**3. Suppose h(k) = 0. Calculate k.
-2, 0
Let i = -1 + 3. Let c(b) be the first derivative of 2 + 1/9*b**3 - 1/3*b + 0*b**i. Factor c(l).
(l - 1)*(l + 1)/3
Let y = -26 + 37. Let m(n) = -5*n**2 + 5*n**2 + 8*n**2 - 6. Let p(g) = -15*g**2 + 11. Let k(s) = y*m(s) + 6*p(s). Suppose k(c) = 0. What is c?
0
Let t(m) be the first derivative of -2/7*m + 4 - 4/21*m**3 + 3/7*m**2. Factor t(z).
-2*(z - 1)*(2*z - 1)/7
Let w = 27/7 - 87/28. Factor 0*l + 0*l**3 + 0 - 3*l**2 + 9/4*l**4 - w*l**5.
-3*l**2*(l - 2)**2*(l + 1)/4
Let g be -1*3 - (-35 - -30). Let -p + 2/3 + 1/3*p**g = 0. Calculate p.
1, 2
Let j(w) = 54*w**4 + 26*w**3 - 40*w**2 - 12*w - 14. Let r(o) = 18*o**4 + 9*o**3 - 13*o**2 - 4*o - 5. Let y(p) = 5*j(p) - 14*r(p). Factor y(i).
2*i*(i - 1)*(i + 1)*(9*i + 2)
Let r(u) = -5*u**5 - 9*u**4 + 9*u**3 - u**2. Let s(a) = -3*a**5 - 3*a**4 - a**2 + 8*a**3 - a**5 - 5*a**4. Let y(l) = -5*r(l) + 6*s(l). Solve y(z) = 0.
0, 1
Let q(r) = -6*r**3 - 44*r**2 - 152*r - 172. Let j(g) = -10*g. Let i be j(-1). Let z(t) = -2*t**3 - 15*t**2 - 51*t - 57. Let c(b) = i*z(b) - 3*q(b). Factor c(p).
-2*(p + 3)**3
Let w(t) = 21*t**4 + 6*t**3 + 3*t**2 - 9*t + 9. Let k(y) = y**5 + y**4 - y**3 + y**2 - y + 1. Let z(i) = 9*k(i) - w(i). Solve z(h) = 0.
-1, 0, 1/3, 2
Factor 10*s**5 + s**4 - 4 + 18*s**2 + 84*s - 8*s**3 - 86*s - 17*s**4 + 2*s**2.
2*(s - 1)**3*(s + 1)*(5*s + 2)
Let a = 25/39 + -4/13. Let v(d) be the second derivative of -1/18*d**3 + 1/36*d**4 - a*d**2 + 0 + d. Factor v(f).
(f - 2)*(f + 1)/3
Let k(w) be the first derivative of w**4/24 - w**3/6 + w**2/4 - w + 2. Let s(x) be the first derivative of k(x). Factor s(b).
(b - 1)**2/2
Let g(b) be the first derivative of b**5/5 + 9*b**4/28 - 5*b**3/21 - 9*b**2/14 - 2*b/7 - 13. Determine t so that g(t) = 0.
-1, -2/7, 1
Let u = -162 - -167. Determine b so that -8/7*b**2 + 0*b - 2*b**u + 0 + 38/7*b**4 - 16/7*b**3 = 0.
-2/7, 0, 1, 2
Let y(c) be the third derivative of 0*c + 1/360*c**6 + 1/180*c**5 - 1/72*c**4 - 1/630*c**7 + 0 + 0*c**3 - 4*c**2. Solve y(o) = 0.
-1, 0, 1
Let t(j) be the third derivative of j**5/240 + 3*j**4/32 + 2*j**2 + 33*j. Factor t(p).
p*(p + 9)/4
Factor -72*v**2 - 6*v**2 - 13*v**3 - 18*v**3 - 112*v - 49 - v**4 + 15*v**3.
-(v + 1)**2*(v + 7)**2
Let p(m) = -m**2 - 1. Let f(n) = -3*n**2 - 15*n + 6. Let g(k) = -f(k) + 6*p(k). Solve g(z) = 0.
1, 4
Factor 1/2*p**4 - 2*p**3 - p + 5/2*p**2 + 0.
p*(p - 2)*(p - 1)**2/2
Let a(c) be the third derivative of c**6/120 - c**4/8 - c**3/3 - 13*c**2. Factor a(q).
(q - 2)*(q + 1)**2
Let v(q) be the first derivative of -q**5/90 - q**4/54 + 2*q**3/27 - 3*q + 3. Let x(i) be the first derivative of v(i). Determine m so that x(m) = 0.
-2, 0, 1
Let f(g) be the first derivative of 14*g**6/3 - 104*g**5/5 + 34*g**4 - 64*g**3/3 - 2*g**2 + 8*g + 20. Factor f(y).
4*(y - 1)**4*(7*y + 2)
Let d be (-141)/(-594) + (-4)/22. Let i(y) be the third derivative of 0 + 1/180*y**6 + 0*y + 2/9*y**4 + 4/9*y**3 + d*y**5 - 3*y**2. Factor i(s).
2*(s + 1)*(s + 2)**2/3
Let a be (-6)/(-5)*3/9. Let u be 4/(-4*(-2)/4). Factor 2/5*x**4 - a*x**3 + 0 + 2/5*x - 2/5*x**u.
2*x*(x - 1)**2*(x + 1)/5
Let l be (-1 - 2) + 342/90. Let d(b) be the third derivative of -l*b**5 + 0 - 16/3*b**3 + 0*b + 2/15*b**6 + 8/3*b**4 - 1/105*b**7 + 3*b**2. Factor d(m).
-2*(m - 2)**4
Let v be -1 + 0 + (-4)/(-4). Let t(d) be the third derivative of 0*d**4 + 0 + 1/180*d**5 + v*d**3 + 0*d + d**2. Find m, given that t(m) = 0.
0
Factor -8/5 - 18/5*i**2 + 2/5*i**4 + 22/5*i + 2/5*i**3.
2*(i - 1)**3*(i + 4)/5
Let g be (((-189)/(-24))/3)/((-3)/(-4)). Factor -g*v**3 + 0 + 0*v + v**2.
-v**2*(7*v - 2)/2
Let g be ((-20)/15)/((-2)/3). Factor 2*y**2 + y + y**3 - 3*y**g - 3*y**2 + 6*y**2.
y*(y + 1)**2
Factor -8 + 8 - 4*p**2 - 4*p + 4 + 4*p**3.
4*(p - 1)**2*(p + 1)
Suppose j = -4*b + 5, 6*j = 2*j + 20. Factor -3/2*f**2 + 0*f**3 + b + 3/4*f - 3/4*f**5 + 3/2*f**4.
-3*f*(f - 1)**3*(f + 1)/4
Let s = -21 + 27. Suppose 4*z + 4 = -o, -3*z + s*z = 4*o - 22. Determine d, given that 0*d**2 + 0 + 0*d - 2/11*d**o + 2/11*d**3 = 0.
0, 1
Factor 8/3*i - 4/3 - 5/3*i**3 + 1/3*i**4 - 1/3*i**2 + 1/3*i**5.
(i - 1)**3*(i + 2)**2/3
Let l(j) = -j + 7. Let w be l(7). Let g = 2 - w. Factor 4*q**3 + 0*q**2 + q**2 - q**g - q**4 - 4*q**2.
-q**2*(q - 2)**2
Let y(d) be the third derivative of -d**5/120 + d**4/48 + d**3/6 + 18*d**2. Factor y(r).
-(r - 2)*(r + 1)/2
Let v(j) be the second derivative of -j**6/45 + j**5/30 + 6*j. What is h in v(h) = 0?
0, 1
Let u = -1762/5 - -353. Solve -3/5*b**2 + 3/5*b**3 + u - 3/5*b = 0 for b.
-1, 1
Let v(i) = -14*i**3 - 29*i**2 - 16*i - 18. Let j(t) = 5*t**3 + 10*t**2 + 5*t + 6. Let f(b) = -17*j(b) - 6*v(b). Suppose f(c) = 0. Calculate c.
-1, 6
Let b(x) = x - 8. Let s be b(12). Factor -8/3*n - 2*n**3 + 0 - s*n**2 - 1/3*n**4.
-n*(n + 2)**3/3
Let n(v) = -v**5 + 29*v**4 + 128*v**3 - 3*v**2. Let z(y) = -y**5 - y**4 - y**2. Let t(w) = 2*n(w) - 6*z(w). Suppose t(p) = 0. Calculate p.
-8, 0
Factor -2 - 16*m + 28*m - 3*m**3 + 3*m**2 + 4*m**3 - m**4 - 13*m.
-(m - 2)*(m - 1)*(m + 1)**2
Suppose -2*l + l + 13 = -3*p, 2*l = -4*p + 76. Let c be (-4)/(-6)*12/l. Suppose 0*m - c*m**2 + 2/7 = 0. Calculate m.
-1, 1
Let j(t) be the second derivative of -t**6/1800 + t**5/600 + t**3/2 + 5*t. Let n(p) be the second derivative of j(p). Factor n(x).
-x*(x - 1)/5
Solve 4*q**2 - 10*q**5 - q**5 + 5*q**5 + 2*q**3 + 0*q**5 - 8*q**4 = 0.
-1, 0, 2/3
Let v(n) = 5*n**2 + 6*n - 4. Let o(f) = 6*f**2 + 7*f - 5. Let g(p) = -4*o(p) + 5*v(p). Factor g(y)