 i(j). Factor r(a).
(a - 1)**2*(a + 2)*(7*a + 2)
Factor 2/3 - 1/3*t - 1/3*t**2.
-(t - 1)*(t + 2)/3
Let s(v) = -21*v**4 - 58*v**3 - 37*v**2 - 2*v + 4. Let n(o) = 22*o**4 + 58*o**3 + 38*o**2 + 2*o - 4. Let z(q) = -3*n(q) - 2*s(q). Let z(k) = 0. What is k?
-1, -2/3, 1/4
Let p(x) = 11*x**2 + 2*x + 4. Suppose 19 = t - 6*t + c, 2*c = -2. Let h(r) = -10*r**2 - r - 3. Let q(y) = t*h(y) - 3*p(y). Let q(v) = 0. What is v?
0, 2/7
Let o(c) be the second derivative of c**7/42 + 7*c**6/15 + 73*c**5/20 + 43*c**4/3 + 88*c**3/3 + 32*c**2 + 10*c. Let o(q) = 0. Calculate q.
-4, -1
Let n(l) be the first derivative of -2*l**5/5 - l**4/4 + l**3 + l**2/2 - l + 9. Factor n(z).
-(z - 1)*(z + 1)**2*(2*z - 1)
Let p be 2 - (1 + -2 - -1). Suppose p*x**2 - 12*x + 40 + 0*x - 22 = 0. What is x?
3
Let m(q) = q - 6. Let j be m(8). Factor j*p**4 + 2 - 5*p - 4*p**2 + 8*p - 3*p.
2*(p - 1)**2*(p + 1)**2
Let i = 199/2 + -99. Factor 1/4*y**4 + i*y**3 + 1/4*y**2 + 0*y + 0.
y**2*(y + 1)**2/4
Let i = -34 + 7. Let r be (-4)/3*i/24. Suppose r*c**2 + 1/2 + 1/2*c**3 + 3/2*c = 0. What is c?
-1
Let c = 191 - 187. Let x(o) be the third derivative of 1/9*o**3 + 0*o - c*o**2 + 1/360*o**6 + 0 + 1/45*o**5 + 5/72*o**4. Determine m, given that x(m) = 0.
-2, -1
Let 3/5*f**4 + 0 + 3/5*f - 3/5*f**3 - 3/5*f**2 = 0. Calculate f.
-1, 0, 1
Let d be 4 + (-44)/12*1. Let c(j) be the second derivative of 20/27*j**3 + 1/15*j**6 + 0 + j + d*j**5 + 4/9*j**2 + 37/54*j**4. Find s such that c(s) = 0.
-1, -2/3
Let y = 71 + -68. Let c(f) be the third derivative of 0*f + 1/735*f**7 + 0*f**4 + 0*f**y + 0 + 1/210*f**5 + 1/210*f**6 - f**2. Factor c(v).
2*v**2*(v + 1)**2/7
Let s(q) be the second derivative of 7*q**4/6 + q**3/3 + 4*q**2 + 3*q. Let h(y) = -2*y + 10 - 5 + 9*y**2 + 3*y. Let l(n) = -8*h(n) + 5*s(n). Factor l(c).
-2*c*(c - 1)
Let j(w) be the second derivative of w**7/42 - w**6/30 - w**5/20 + w**4/12 - 3*w. Factor j(n).
n**2*(n - 1)**2*(n + 1)
Let z(x) = 2*x**5 - 52*x**3 - 2*x**2 - 2*x + 0*x**2 + 48*x**3. Let r(m) = 8*m**5 - m**4 - 16*m**3 - 9*m**2 - 9*m. Let n(i) = 2*r(i) - 9*z(i). Factor n(o).
-2*o**3*(o - 1)*(o + 2)
Let n(g) be the second derivative of -g**5/20 + g**4/2 - 11*g**3/6 + 3*g**2 + 5*g. Factor n(l).
-(l - 3)*(l - 2)*(l - 1)
Let s(m) = -5*m**2 - 4*m - 5. Let h(w) = -5*w**2 - 5*w - 5. Let d(p) = -6*h(p) + 5*s(p). Factor d(z).
5*(z + 1)**2
Suppose -4*o = -3*f + 1, 5*o - 3*f = f - 2. Factor -12/7*r**o - 2/7*r + 2/7.
-2*(2*r + 1)*(3*r - 1)/7
Factor 1/6 + 2/3*x - 5/6*x**2.
-(x - 1)*(5*x + 1)/6
Factor 2/5*r - 2/5*r**2 + 4/5.
-2*(r - 2)*(r + 1)/5
Let r(o) be the second derivative of -o**6/15 - o**5/10 + o**4/6 + o**3/3 - 24*o. Factor r(g).
-2*g*(g - 1)*(g + 1)**2
Factor -3*s**2 - 6*s + 6*s**3 + 8*s**4 + 0*s**3 - 12*s**4 + 7*s**4.
3*s*(s - 1)*(s + 1)*(s + 2)
Let w(s) = s + 2. Let i be w(0). Let b(p) be the second derivative of -1/42*p**4 - 2*p + 0 - 2/21*p**3 - 1/7*p**i. Factor b(a).
-2*(a + 1)**2/7
Suppose -9*p + 4*p = 0. Let y(a) be the third derivative of 0*a - 1/12*a**4 + p*a**3 - 2/15*a**5 + a**2 + 0. What is l in y(l) = 0?
-1/4, 0
Let s(w) = -4*w**3 + w**2. Let y(r) = r**3 - r**2 - r. Let j(v) = -s(v) - 5*y(v). Determine l so that j(l) = 0.
-1, 0, 5
Let k(d) be the second derivative of 3*d - 1/90*d**4 + 0 + 0*d**3 + 4/15*d**2. Factor k(v).
-2*(v - 2)*(v + 2)/15
Let r = 88 - 88. Let d(p) be the first derivative of 0*p - 2/15*p**3 + 4 + r*p**2. What is a in d(a) = 0?
0
Factor -11 - 4*f**2 + 40*f - 19 + 4 - 10.
-4*(f - 9)*(f - 1)
Find q, given that 10/7 - 6/7*q - 4/7*q**2 = 0.
-5/2, 1
Let a(l) be the third derivative of -3*l**8/2240 - l**7/1260 + l**4/8 + 2*l**2. Let x(f) be the second derivative of a(f). Factor x(m).
-m**2*(9*m + 2)
Factor 10*w**3 + 5*w**5 + 2*w**5 - 6*w - 2*w**5 - 20*w**2 + 20*w**4 - 9*w.
5*w*(w - 1)*(w + 1)**2*(w + 3)
Suppose -2 = -3*z + 2*z. Suppose z*s + 0*s**2 + 3*s**2 - 4*s**3 - 2*s**4 + 2*s**5 - 2 + s**2 = 0. Calculate s.
-1, 1
Find v, given that 11*v**2 + 10*v**4 + 32 + 23*v**3 + 69*v**2 + v**5 + 17*v**3 + 80*v = 0.
-2
Let c = -1 - 1. Let x be ((c/(-4))/1)/1. What is f in x*f**2 + 2*f + 2 = 0?
-2
Let a = -14 + 9. Let l be (a/(-2))/(3/6). Find o, given that 3*o**2 - 5*o**3 - l*o**2 + 2 + 3*o**3 + 2*o = 0.
-1, 1
Let i(d) be the third derivative of 0*d**5 + 1/300*d**6 + 0*d**3 + 0 + 0*d + 3*d**2 + 0*d**4. Factor i(k).
2*k**3/5
Let k(c) be the second derivative of 1/3*c**3 + 0*c**4 + 2/3*c**2 + 2*c - 1/30*c**5 + 0. Factor k(y).
-2*(y - 2)*(y + 1)**2/3
Determine k, given that -2/7*k**5 + 50/7 + 10*k - 22/7*k**4 - 4*k**2 - 68/7*k**3 = 0.
-5, -1, 1
Let f(j) be the second derivative of -2/3*j**2 - 4/9*j**3 + 0 + 2*j - 5/36*j**4 - 1/60*j**5. Factor f(q).
-(q + 1)*(q + 2)**2/3
Suppose 3*y + 2*i - 14 = 0, -i - 4 + 2 = -3*y. Suppose 0 = -3*a + 15, 0*b - y*b + 9 = a. Factor 2*h - 4*h**3 - 2*h**2 - b + 4 + 2*h.
-2*(h - 1)*(h + 1)*(2*h + 1)
Suppose 0 = 3*f - 0*f - 12. Suppose -3*d**f - 3*d**2 - 4*d**3 - 2*d**3 + 0*d**3 = 0. Calculate d.
-1, 0
Let r(s) be the first derivative of -s**8/7560 - s**7/1890 + s**5/270 + s**4/108 + 5*s**3/3 + 5. Let x(w) be the third derivative of r(w). Factor x(m).
-2*(m - 1)*(m + 1)**3/9
Let v(n) be the second derivative of -n**5/50 + 4*n**3/15 + 4*n. Factor v(g).
-2*g*(g - 2)*(g + 2)/5
Let j(o) = -o**3 + 4*o**2 + o - 2. Let h be j(4). Suppose -2*g - 5 + 0 = -m, 2*g + 17 = 5*m. Factor -m + 3 + n**3 - n**h.
n**2*(n - 1)
Suppose -10 + 4 = -3*a. Let m be (-4)/10 + 22/5. What is k in 4*k**3 + k**a + k**2 + 3*k**4 - k**m = 0?
-1, 0
Suppose -9*d = -3*d + 3*d. Factor -1/3 + d*n**2 + 2/3*n - 2/3*n**3 + 1/3*n**4.
(n - 1)**3*(n + 1)/3
Suppose -2*q = g - 15, 4*g = -2*q - 2*q + 32. Factor 6*o**3 - 3*o**4 - 6*o + 4 + 6 - q.
-3*(o - 1)**3*(o + 1)
Let i be 104/84 - (24/(-14))/(-3). Let x(a) be the first derivative of -2/3*a + i*a**2 - 1 - 2/9*a**3. Factor x(f).
-2*(f - 1)**2/3
Let v(l) be the first derivative of 32*l**5/15 + 2*l**4/3 - 2*l**3 + 11*l**2/12 - l/6 - 4. Factor v(x).
(x + 1)*(4*x - 1)**3/6
Suppose 41*w - 106 = -24. Factor -3/2*t**3 - 2*t**w - 1/2*t + 0.
-t*(t + 1)*(3*t + 1)/2
Let h be (-16)/6*(-3)/2. Factor -37*i - 14*i**4 + 37*i + h*i**3.
-2*i**3*(7*i - 2)
Solve 0 + 4/9*p**4 - 4/9*p**2 + 2/9*p - 2/9*p**3 = 0 for p.
-1, 0, 1/2, 1
Find g such that -2*g**3 - 2*g + 2*g - 7*g**2 - 2*g + 3*g**2 = 0.
-1, 0
Let v(k) = -4*k**4 - 20*k**3 - 32*k**2 - 16*k + 2. Let i(d) = 4*d**4 + 20*d**3 + 32*d**2 + 16*d - 3. Let j(x) = -2*i(x) - 3*v(x). Find l, given that j(l) = 0.
-2, -1, 0
Let m(o) be the first derivative of o**6/240 + o**5/60 + o**4/48 - 4*o**2 + 7. Let d(x) be the second derivative of m(x). Factor d(h).
h*(h + 1)**2/2
Let m(x) be the second derivative of x**7/2100 + x**6/900 + x**3/6 + 3*x. Let v(a) be the second derivative of m(a). Factor v(q).
2*q**2*(q + 1)/5
Let u(v) be the first derivative of 2*v**7/525 + v**6/60 + v**5/50 - v**4/60 - v**3/15 - v**2 + 2. Let q(a) be the second derivative of u(a). Factor q(r).
2*(r + 1)**3*(2*r - 1)/5
Let c(v) = -v**3 - 17*v**2 + 47*v + 173. Let q be c(-19). Determine x, given that 1/4*x**q - 1/4*x + 0 = 0.
0, 1
Factor -56/9*d + 392/9 + 2/9*d**2.
2*(d - 14)**2/9
Solve 4*f - 3*f + 3*f + 6*f**5 - 2*f**5 - 8*f**3 = 0 for f.
-1, 0, 1
Let t be 3/2*-2 + 3. Suppose 2*a - 7*a + 20 = t. Solve -2*i**5 + 0*i**a - 3*i**2 - i**5 - 9*i**3 - 9*i**4 = 0 for i.
-1, 0
Let c be ((-1)/4)/((-95)/344). Let o = c - 2/19. Factor o*b - 2/5 - 2/5*b**2.
-2*(b - 1)**2/5
Let s be 9/6 + 1 + (3 - 5). Factor 0 + 1/2*g**4 + 1/2*g**5 - s*g**3 - 1/2*g**2 + 0*g.
g**2*(g - 1)*(g + 1)**2/2
Let f = -758/15 + 81/5. Let x = -34 - f. Solve 4/3 + x*l**2 + 4/3*l = 0 for l.
-2
Let j(l) be the second derivative of -l**5/4 + 5*l**4/6 - 10*l. Factor j(h).
-5*h**2*(h - 2)
Factor -5/8*p**2 + 3/8*p + 9/8 + 1/8*p**3.
(p - 3)**2*(p + 1)/8
Suppose 0 = 4*j + 14 - 6, 0 = i - 4*j - 8. Suppose 0 = 2*d - 4 - i. Solve m**2 - 2*m**2 - 3*m**2 + d*m**3 = 0.
0, 2
Let b(w) = 2*w**5 + w**3 + 5*w**2 + 2*w. Let z(v) = -v**5 - 2*v**2 - v. Let q(a) = 4*b(a) + 10*z(a). Factor q(x).
-2*x*(x - 1)**2*(x + 1)**2
Let o = -1 - -4. Suppose 2*k - 10 = -o*k. Find r, given that -2*r + 5*r**2 - 2*r**2 - r**k + 0*r = 0.
0, 1
Let l be (4 + (2 - 7))*-12. Factor 8*z**2 + 4*z**4 + 4*z - 6*z**5 - l*z**4 + 2*z**5.
-4*z*(z - 1)*(z + 1)**3
Let i be ((-30)/135)/((-2)/6). Suppose -4/3*f**2 - i*f**3 - 2/3*f + 0 = 0. What is