).
2*o*(o - 1)*(o + 2)
Let b(v) = -7*v**2 - 8*v + 20*v**3 - 17*v**2 - 2*v**2 + 14. Let s(g) = 0 - 9*g**2 - 3*g - 1 + 7*g**3 + 6. Let r(m) = -5*b(m) + 14*s(m). Let r(y) = 0. What is y?
0, 1
Let z(c) = -5*c**2. Let a be z(-1). Let o(y) = y**2 + 4*y - 3. Let h be o(a). Solve 9*l**2 - l - 2*l**3 - l - h*l**3 = 0.
0, 1/4, 2
Let g(s) = s**3 - s**2 + 1. Let b = -6 - -5. Let q(v) = -4*v**3 + 3*v**2 - v - 3. Let n(m) = b*q(m) - 5*g(m). Factor n(c).
-(c - 2)*(c - 1)*(c + 1)
Solve 5 - 1 - 9 - 4*c**2 - 36*c - 27 = 0.
-8, -1
Let s be (-40)/(-50) + 1/5 - -3. Solve 12/5*x + 231/5*x**3 + 147/5*x**s + 0 + 96/5*x**2 = 0.
-1, -2/7, 0
Let d be (-1 + -2)*(-5)/3. Let w = -2 - -5. Factor 2*y**2 + 3*y**w - 2*y**4 - y**5 - y**d - y**3.
-2*y**2*(y - 1)*(y + 1)**2
Suppose 3*y - y = 10. Factor 2*b**2 - b + 1 + 0*b**4 - 3*b**4 + 2*b**3 + b**y - b - b.
(b - 1)**4*(b + 1)
Let u(t) = -t**2 + 5*t + 2. Let x be u(5). Suppose x*p = p. Find n, given that 0*n + p - 1/3*n**2 - 2/3*n**3 - 1/3*n**4 = 0.
-1, 0
Let q be 0 - (1 - (-214)/(-212)). Let t = 215/318 - q. Factor 0 + 4/3*p + t*p**2.
2*p*(p + 2)/3
Let d(f) be the third derivative of -f**5/15 + f**4/3 + 2*f**3 - 10*f**2. Factor d(a).
-4*(a - 3)*(a + 1)
Suppose -2*x + y = -3*x - 2, -4*x - 5*y = 12. Let q(c) be the third derivative of 0 + 1/60*c**5 + c**x + 0*c**3 + 0*c + 1/24*c**4. Let q(n) = 0. What is n?
-1, 0
Let 1/4*t - 21/8*t**4 + 3/8*t**2 - 5/4*t**5 - 5/4*t**3 + 0 = 0. Calculate t.
-1, -1/2, 0, 2/5
Let v(a) = -a**2 + 2*a + 83. Let j be v(10). Factor 6/5*y**j + 18/5*y + 4*y**2 + 4/5.
2*(y + 1)*(y + 2)*(3*y + 1)/5
Let j = -93/5 - -19. Factor -8/5 - j*t**2 - 8/5*t.
-2*(t + 2)**2/5
Let d(b) be the third derivative of -b**8/112 - b**7/105 - b**6/360 + 9*b**2. Find c such that d(c) = 0.
-1/3, 0
Factor -1/5*l**2 - 4/5*l - 4/5.
-(l + 2)**2/5
Let a(q) be the third derivative of -2*q**7/21 + q**6/10 + 2*q**5/15 + 29*q**2. Factor a(p).
-4*p**2*(p - 1)*(5*p + 2)
Suppose -107 + 107 = -u. Factor -2/9*q**3 + u + 2/9*q + 2/9*q**2 - 2/9*q**4.
-2*q*(q - 1)*(q + 1)**2/9
Let o(y) be the third derivative of 2/3*y**3 + 0*y + 1/40*y**6 - 5*y**2 + 1/60*y**5 + 0 - 1/3*y**4. Suppose o(i) = 0. Calculate i.
-2, 2/3, 1
Let b be ((-4)/(-5))/((-8)/(-20)). Factor -2 + 6*g + 6*g**4 + b*g**3 + 2*g**5 - 4*g**2 - 4*g**5 - 6*g**3.
-2*(g - 1)**4*(g + 1)
Let w(q) be the first derivative of -q**6/135 + q**4/54 + 2*q - 2. Let u(h) be the first derivative of w(h). Factor u(g).
-2*g**2*(g - 1)*(g + 1)/9
Let r(v) be the third derivative of 0*v**3 - v**2 + 1/12*v**4 + 1/30*v**5 + 0*v + 0. Let r(i) = 0. What is i?
-1, 0
Let n(t) be the second derivative of t**4/3 + 3*t. What is a in n(a) = 0?
0
Suppose -4*w - 20 = -9*w. Factor 15*d**2 + 2*d**w - 3*d**3 + 5*d**3 - 19*d**2.
2*d**2*(d - 1)*(d + 2)
Let w(a) be the third derivative of -a**8/336 + 4*a**7/105 + 3*a**6/40 - 15*a**2 + 1. Solve w(k) = 0 for k.
-1, 0, 9
Let o(c) be the first derivative of 2/21*c**3 + 1 + 0*c**2 - 2/7*c. Find v such that o(v) = 0.
-1, 1
Let t(q) be the third derivative of q**6/120 - q**5/15 + q**4/24 - q**3/6 + 2*q**2. Let c be t(4). Find y, given that 2*y**c + 0*y + 2*y - 2*y**2 - 2*y**2 = 0.
0, 1
Let m(j) be the third derivative of 0*j**3 + 0 + 1/36*j**4 - 5*j**2 + 0*j - 1/180*j**6 + 1/90*j**5 - 1/315*j**7. Suppose m(g) = 0. What is g?
-1, 0, 1
Let d(w) be the second derivative of -w**7/84 - w**6/30 - w**5/40 - 27*w. Determine j so that d(j) = 0.
-1, 0
Let m(j) be the second derivative of 121*j**7/350 + 11*j**6/50 + j**5/25 + j**2/2 + 8*j. Let d(o) be the first derivative of m(o). Find l such that d(l) = 0.
-2/11, 0
Let n be (11/33)/(4/6). Factor -n*c**3 + 0 + c - 1/2*c**2.
-c*(c - 1)*(c + 2)/2
Let l(n) = 3*n**4 - 9*n**3 + 11*n**2 - 3*n. Let z = 3 - 5. Let i(p) = 3*p**4 - 9*p**3 + 12*p**2 - 3*p. Let y(r) = z*i(r) + 3*l(r). Find t, given that y(t) = 0.
0, 1
Let w(b) = 10*b**2 + 3*b + 7. Let p(u) = 7*u**2 + 2*u + 5. Suppose 2*g + 20 = -2*g. Let s(a) = g*w(a) + 7*p(a). Find l such that s(l) = 0.
-1, 0
Let p(d) be the third derivative of -d**7/1155 + d**6/330 - d**5/330 + 12*d**2. Find c, given that p(c) = 0.
0, 1
Let v(p) be the second derivative of -p**6/75 + 3*p**5/200 + 17*p**4/120 - p**3/5 - p**2/5 - 31*p. What is n in v(n) = 0?
-2, -1/4, 1, 2
Suppose -7*q**3 - 7*q**3 + 12*q**3 + 57*q**2 + 33*q + 32*q**3 + 6 = 0. What is q?
-1, -1/2, -2/5
Let a(d) be the third derivative of -1/80*d**5 + 0*d + 2*d**2 - 1/12*d**3 + 0 - 5/96*d**4 + 1/480*d**6 + 1/840*d**7. Factor a(u).
(u - 2)*(u + 1)**3/4
Let i(q) be the third derivative of -q**5/180 - q**4/72 + 48*q**2. Factor i(t).
-t*(t + 1)/3
Let y(j) be the first derivative of 0*j + 5 + 0*j**2 - 3/4*j**4 - j**3. Factor y(m).
-3*m**2*(m + 1)
Let b(s) be the first derivative of -s**3 - 9*s**2/2 - 12. Let b(g) = 0. Calculate g.
-3, 0
Let x(k) be the first derivative of -8/21*k**3 + 0*k + 4/7*k**2 + 1/14*k**4 + 4. Factor x(d).
2*d*(d - 2)**2/7
Let b(i) be the first derivative of 0*i**2 - i**4 + 0*i + 8 + 1/3*i**3. Factor b(l).
-l**2*(4*l - 1)
Factor 22*c**2 + 2*c**3 - 26*c**2 - 6*c + 0*c**3.
2*c*(c - 3)*(c + 1)
Factor 0*j**2 - 1/6*j**3 + 0*j + 0 - 1/6*j**4.
-j**3*(j + 1)/6
Let g(f) be the second derivative of -3*f**5/10 - 7*f**4/8 - f**3 + 3*f**2 + 3*f. Let s(k) be the first derivative of g(k). Factor s(m).
-3*(2*m + 1)*(3*m + 2)
Let a(d) be the first derivative of d**5/30 - d**4/2 + 3*d**3 + 3*d**2/2 - 5. Let i(j) be the second derivative of a(j). Find o, given that i(o) = 0.
3
Suppose -2/5*x**5 - 2/5*x**2 + 0*x + 2/5*x**4 + 2/5*x**3 + 0 = 0. Calculate x.
-1, 0, 1
Let b(y) be the second derivative of -1/240*y**5 + 0*y**2 - 1/3*y**3 + 2*y + 0 + 1/720*y**6 + 0*y**4. Let w(a) be the second derivative of b(a). Factor w(p).
p*(p - 1)/2
Let s be 5 + -7 + 72/32. Find r, given that s*r + 1/4 - 1/4*r**3 - 1/4*r**2 = 0.
-1, 1
Suppose -2*r + 7*r - 10 = 0. Factor -8/5*d**2 + r*d - 2/5.
-2*(d - 1)*(4*d - 1)/5
Let n(f) be the third derivative of -1/120*f**6 - 1/60*f**5 + 1/210*f**7 + 0 + 0*f + 1/24*f**4 + 3*f**2 + 0*f**3. Factor n(y).
y*(y - 1)**2*(y + 1)
Let m(a) be the third derivative of -a**8/80640 + a**7/10080 - a**6/2880 - a**5/20 - a**2. Let b(x) be the third derivative of m(x). Factor b(h).
-(h - 1)**2/4
Let m(b) be the third derivative of b**5/15 + b**4/2 - 8*b**3/3 - 13*b**2. Determine p, given that m(p) = 0.
-4, 1
Let a(u) be the second derivative of -u**4/24 + 11*u**3/12 - 22*u. Solve a(s) = 0 for s.
0, 11
Suppose 5*r - r - 24 = 0. Let n be (-5)/10 + 7/r. What is a in 2/3*a**2 - 2/3*a + 2/3*a**3 - n = 0?
-1, 1
Let x(p) = p**3 - p**2 + 3. Suppose 2*g + 3*g = 0. Let r be x(g). Factor 2*d**4 + d**3 + 0*d**3 - r*d**3.
2*d**3*(d - 1)
Let m(p) be the third derivative of p**9/15120 + p**4/24 - 3*p**2. Let c(q) be the second derivative of m(q). Factor c(z).
z**4
Let w(z) be the first derivative of -2/3*z**2 + 0*z**3 - 3 + 1/3*z**4 - 2/15*z**5 + 2/3*z. Factor w(h).
-2*(h - 1)**3*(h + 1)/3
Solve -9/7*c**5 - 3*c**3 + 0*c + 6/7*c**2 + 24/7*c**4 + 0 = 0.
0, 2/3, 1
Factor 0*n + 2/3*n**3 + 4/3*n**2 + 0.
2*n**2*(n + 2)/3
Let h(l) be the third derivative of 4*l**7/735 - l**6/84 - l**5/70 + 5*l**4/84 - l**3/21 + 7*l**2. Let h(m) = 0. What is m?
-1, 1/4, 1
Let r(q) be the second derivative of -q**4/20 + 3*q**3/10 - 56*q. Factor r(d).
-3*d*(d - 3)/5
Let k(g) = 10*g**3 - 2*g**2 + 6*g - 6. Let i(v) = -11*v**3 + v**2 - 7*v + 7. Let y(c) = -6*i(c) - 7*k(c). Let y(p) = 0. What is p?
0, 2
Suppose -3*u = u. Suppose 0 = -2*w - u + 8. Solve -5*f**2 + 1/2*f**3 + w + 1/2*f**5 + 2*f**4 - 2*f = 0 for f.
-2, 1
Let g(y) = y**3 - 4*y**2 + 2*y - 6. Let v be g(4). Factor -1/3*a + 0 - 1/3*a**v.
-a*(a + 1)/3
Let b(s) be the second derivative of s**4/42 + 5*s**3/21 - 6*s**2/7 - 34*s. Solve b(m) = 0 for m.
-6, 1
Let q be 72*4/((-16)/(-10)). Let z = -1258/7 + q. Factor 0*l - 2/7*l**4 + z*l**2 - 2/7*l**3 + 0 + 2/7*l**5.
2*l**2*(l - 1)**2*(l + 1)/7
Let c(o) be the first derivative of o**4/8 - 2*o + 1. Let j(a) be the first derivative of c(a). Factor j(z).
3*z**2/2
Let r(v) be the third derivative of v**10/907200 + v**9/120960 + v**8/60480 - v**5/60 - 2*v**2. Let n(m) be the third derivative of r(m). Solve n(i) = 0.
-2, -1, 0
Let a(w) be the second derivative of -w**5/50 - w**4/30 + w**3/15 + w**2/5 - 48*w. What is l in a(l) = 0?
-1, 1
Let z(d) be the third derivative of 1/20*d**4 + 1/50*d**5 + 1/300*d