et o(d) be the third derivative of y(d). Factor o(r).
2*(r - 1)**2*(7*r + 2)/13
Let y(n) = -2*n**2 - 7*n - 6. Let l be y(-2). What is d in l*d**4 + 4/5*d**5 + 0*d**2 - 4/5*d**3 + 0*d + 0 = 0?
-1, 0, 1
Let i(f) be the third derivative of -f**7/4200 - f**6/1800 + f**5/600 + f**4/120 - f**3/3 - 3*f**2. Let m(q) be the first derivative of i(q). Factor m(v).
-(v - 1)*(v + 1)**2/5
Let b(w) be the first derivative of 0*w**2 + 0*w + 2/15*w**3 + 1/10*w**4 + 4. Solve b(v) = 0 for v.
-1, 0
Let c(j) = -j**3 - 2*j**2. Let b be c(-2). Let m = -1105/9 + 123. Let b*h - m*h**2 + 2/9 = 0. What is h?
-1, 1
Let u(c) = 3*c. Let k be u(1). Suppose b - 4*b**2 + 3 - b**2 + 3*b**4 - 1 - 4*b**3 + 3*b**k = 0. What is b?
-1, -2/3, 1
Suppose 0 = -3*u + 6 + 69. Determine i, given that 378*i**2 - 161*i - 18 - 19*i - 122*i**3 + 42 - u*i**3 = 0.
2/7, 2
Suppose -8 + 3 = -z. Factor -5 - m**2 - m**2 + z - 4*m.
-2*m*(m + 2)
Let a(v) = v**3 + 4*v**2 - 7*v - 5. Let u be a(-5). Factor -3*s**4 - 9*s**2 + u*s**2 + 7*s**2.
-3*s**2*(s - 1)*(s + 1)
Let m be ((-78)/4)/(6/(-8)). Let g be 1*(-1 - m/(-14)). Determine h so that 4/7 + 6/7*h - 4/7*h**2 - g*h**3 = 0.
-1, -2/3, 1
Factor 2/3 + 4/3*o + 2/3*o**2.
2*(o + 1)**2/3
Suppose -4*z + 3 = -13. Suppose 0*a - g + 1 = a, -3*a + 10 = -z*g. Determine y so that -16/9*y**4 + 2/9*y - 4/3*y**3 - 2/3*y**5 + 0*y**a + 0 = 0.
-1, 0, 1/3
Let w be ((-8)/(-12))/(4/3). Factor -w + z - 1/2*z**2.
-(z - 1)**2/2
Suppose j - 12 = 5*j - 2*a, -6 = j - 2*a. Let g be j/(-3) - (-16)/30. Factor g*y - 1/5*y**2 - 9/5.
-(y - 3)**2/5
Let w(b) be the first derivative of 6*b + 4*b**3 - 3/4*b**4 - 15/2*b**2 + 7. Factor w(q).
-3*(q - 2)*(q - 1)**2
Let u(n) be the first derivative of 5*n**4/4 - 20*n**3/3 + 15*n**2/2 - 7. Factor u(i).
5*i*(i - 3)*(i - 1)
Let q(n) = 7*n**3 + 9*n**2 + 2*n. Let m(b) = 8*b**3 + 10*b**2 + 2*b. Let k(g) = -5*m(g) + 6*q(g). Factor k(s).
2*s*(s + 1)**2
Let q = 2 + -3. Let s be q - (13/(-9) + 0). Factor 2/9 + 2/9*w**2 + s*w.
2*(w + 1)**2/9
Let j be (-4)/8 - 5/(-2). Suppose j*s - 5 = -1. Solve 3*w - 21 + 3*w**s + 21 = 0.
-1, 0
Suppose 0 = 4*s - 3*i - 7, 0 = s - i - 0*i - 1. Suppose -3*r - 11 - 9 = -s*m, 2*r = -4*m. Factor -2/3*n**5 + 2/3*n**2 + 0*n + 2*n**4 - m*n**3 + 0.
-2*n**2*(n - 1)**3/3
Let m(i) = -i + 11. Let b be m(9). Determine r, given that 3*r**2 - 2*r**2 + 2*r + r**b - 4 - 4*r = 0.
-1, 2
Suppose 0 - 6/7*a + 3/7*a**3 - 3/7*a**2 = 0. Calculate a.
-1, 0, 2
Suppose 622 + 123 = 5*p + 5*r, -5*r = -4*p + 632. Let n be p/15 + -1 - -2. Solve 98/5*g**4 - 56/5*g**3 - 18*g**2 - 8/5 + n*g = 0 for g.
-1, 2/7, 1
Let s = 158 + -156. Factor -2/9*l**3 - 2/3*l - 2/3*l**s - 2/9.
-2*(l + 1)**3/9
Let j be -13 - -14 - 2/18. Solve 4/3*z**2 + 8/9*z + 2/9*z**4 + 2/9 + j*z**3 = 0.
-1
Let k(h) be the second derivative of h**7/84 + 3*h**6/20 + 3*h**5/4 + 23*h**4/12 + 11*h**3/4 + 9*h**2/4 + 7*h. Factor k(s).
(s + 1)**3*(s + 3)**2/2
Let y = 1 - -2. Let f be y + -3 + (-1)/(-2). Factor 6*x**3 + 0 + 5*x**4 + 3/2*x**5 + f*x + 3*x**2.
x*(x + 1)**3*(3*x + 1)/2
Let v(h) = 441*h**3 + 51*h**2 - 159*h - 39. Let g(f) = -221*f**3 - 9*f**2 + 107*f - 10*f**2 - 27*f - 7*f**2 + 20. Let a(t) = -9*g(t) - 4*v(t). Factor a(x).
3*(3*x - 2)*(5*x + 2)**2
Let x = 177 - 527/3. Factor 0 + x*j**3 + 0*j + 2/3*j**2 + 2/3*j**4.
2*j**2*(j + 1)**2/3
Factor -25/8 - 1/8*n**2 - 5/4*n.
-(n + 5)**2/8
Let x(a) = -4*a**2 - 2*a + 4. Let v(n) = n**4 + 4*n**2 + 3*n - 5. Suppose -10 = k + 4*k. Let s(u) = k*v(u) - 3*x(u). Find g, given that s(g) = 0.
-1, 1
Let w(u) be the third derivative of -u**5/240 + u**4/48 - u**3/24 - 2*u**2. Let w(a) = 0. What is a?
1
Let p(o) = -2*o**3 - o**2 + 8*o + 1. Let n(a) = -3*a**3 + 9*a + 2. Let q(l) = 3*n(l) - 4*p(l). Factor q(z).
-(z - 2)*(z - 1)**2
Let v = 11/30 + -16/45. Let z(a) be the third derivative of 0 + 1/360*a**6 + 0*a - 4*a**2 + 1/72*a**4 + 0*a**3 - v*a**5. Let z(u) = 0. What is u?
0, 1
Let -1/2*z**3 + 1 + 1/2*z - z**2 = 0. What is z?
-2, -1, 1
Let v = 11 - 14. Let l(s) = s**3 + s**2 + s - 1. Let u(q) = -6*q**3 + 3*q**2 - 6*q + 3. Let z(o) = v*l(o) - u(o). Factor z(x).
3*x*(x - 1)**2
Let j(m) be the third derivative of 1/48*m**4 + 0*m + 0*m**5 + 0 - 1/24*m**3 - 1/240*m**6 - 2*m**2 + 1/840*m**7. Suppose j(n) = 0. What is n?
-1, 1
Suppose -5*n**2 + 10*n - 5*n**2 + 8 + 7*n**2 + 5*n**2 = 0. What is n?
-4, -1
Let z(c) be the second derivative of -c**6/30 + c**4/6 - c**2/2 - 8*c. Factor z(u).
-(u - 1)**2*(u + 1)**2
Let v(r) be the first derivative of -r**3/9 + r/3 + 34. Suppose v(b) = 0. Calculate b.
-1, 1
Let p(n) = -n**3 + 3*n**2 + n + 1. Let k = -9 - -13. Let m(t) = -t**2. Let s(c) = k*m(c) + p(c). Factor s(z).
-(z - 1)*(z + 1)**2
Let p(j) = 103*j**2 + 89*j + 13. Let n(x) = -102*x**2 - 88*x - 14. Let d(z) = 5*n(z) + 4*p(z). Suppose d(v) = 0. Calculate v.
-3/7
Suppose 2*m = 1 + 3. Let w(r) = 0*r**2 + 7*r + 6*r**3 - 4*r**m + r**2. Let k(u) = 3*u**3 - 2*u**2 + 3*u. Let v(p) = 5*k(p) - 2*w(p). Factor v(j).
j*(j - 1)*(3*j - 1)
Factor 16/13*c**2 - 10/13*c - 8/13*c**3 + 2/13.
-2*(c - 1)*(2*c - 1)**2/13
Suppose -3*k + 1 = -2*k. Let i be 2 - (k + (-3)/3). Find w such that -w - i*w**2 + w - 4*w = 0.
-2, 0
Let w be -2 - -2 - (-7)/(21/12). Let f(v) = -v**2 + 6*v. Let x be f(5). Factor -3*o + 11*o**2 - 3 - 4*o**w - 3*o**x - 5*o**2 + o**4 + 6*o**3 + 0.
-3*(o - 1)**2*(o + 1)**3
Solve 2*k - 4/3*k**2 - 2*k**3 + 4/3 = 0 for k.
-1, -2/3, 1
Let z(j) = -j**3 + 6*j**2 - 3*j - 5. Suppose 0 = m - 2*l - 7, l + 21 = 4*m - 0*l. Let p be z(m). Solve 4*x**4 + 0*x + x**3 + 2*x**3 - 3*x**2 - p*x**4 + x = 0.
0, 1
Factor -1/2*l**3 + 5/2*l - 1/2*l**2 - 3/2.
-(l - 1)**2*(l + 3)/2
Let w(l) = 3*l - 4 + 4 + 1 - 2. Let k be w(1). What is p in -p**5 + 5*p - p**3 - 5*p + k*p**4 = 0?
0, 1
Factor -4/3*p**2 - 16/9*p + 0 - 2/9*p**3.
-2*p*(p + 2)*(p + 4)/9
Factor -3 + 9/4*w + 3/4*w**2.
3*(w - 1)*(w + 4)/4
Find g, given that 2/7*g**5 - 8/7*g**2 + 0 + 12/7*g**3 - 8/7*g**4 + 2/7*g = 0.
0, 1
Suppose 4/3*r**2 + 22*r**4 - 40/3*r**5 + 0 + 0*r - 10*r**3 = 0. What is r?
0, 1/4, 2/5, 1
Let w be (11 - 7)*(-3)/(-18). Let b(j) be the first derivative of 0*j - 14/15*j**5 + 2*j**4 - w*j**2 - 2/3*j**3 + 2. Solve b(n) = 0 for n.
-2/7, 0, 1
Let l(w) be the third derivative of -9*w**6/280 - w**5/70 + 9*w**4/56 + w**3/7 + 5*w**2. Factor l(r).
-3*(r - 1)*(r + 1)*(9*r + 2)/7
Let c = 58/45 + -11/9. Let p(f) be the third derivative of 0*f + 1/300*f**6 + 0 - 3*f**2 + c*f**3 - 1/150*f**5 - 1/60*f**4. Solve p(t) = 0 for t.
-1, 1
Let p = 5 - 4. Suppose -3*x = -5 - p, -5*x = -3*n - 1. Factor 1/6*a**4 + 0 + 0*a + 0*a**2 + 0*a**n.
a**4/6
Let y be 7*2/2 - 7. Factor -1/6*c**2 + y + 0*c + 1/6*c**3.
c**2*(c - 1)/6
Let t(n) be the first derivative of -n**5/5 + 3*n**4/2 - 3*n**3 + 8. Factor t(u).
-u**2*(u - 3)**2
Let c be (28/(-10) - -2)*-5. Suppose 0*t - 18 = -6*t. Factor -2*s**3 + 0*s**4 + 0*s**t - 2*s**c - 4*s + 6*s**3 + 2*s**2.
-2*s*(s - 2)*(s - 1)*(s + 1)
Let r be 5/4 + (-21)/(-28). Solve 5 + 6 + 16*o**r - 20*o - 4*o**3 - 3 + 0 = 0.
1, 2
Let c(p) be the first derivative of 2 + 1/3*p**3 - p**2 + 0*p. Determine f so that c(f) = 0.
0, 2
Let p be 7*-10*2/(-455). Factor -2/13*t**2 + 0 - 2/13*t**4 - p*t**3 + 0*t.
-2*t**2*(t + 1)**2/13
Let x be (-2 - -6) + 3 + -5. Factor -1/5*p**x + 1/5 + 1/5*p**3 - 1/5*p.
(p - 1)**2*(p + 1)/5
Let p(w) be the second derivative of -w**7/63 - 4*w**6/45 - 2*w**5/15 + w**4/9 + 5*w**3/9 + 2*w**2/3 - 32*w. Determine t so that p(t) = 0.
-2, -1, 1
Let f(z) be the first derivative of z**3/9 + 2*z**2/3 + z - 11. Let f(o) = 0. Calculate o.
-3, -1
Suppose 4*g - 11 = 37. Let v be ((-38)/g + 3)*-2. Factor j**3 - v*j + 2/3*j**5 + 5/3*j**4 + 0 - 1/3*j**2.
j*(j + 1)**3*(2*j - 1)/3
Let s(r) = -2*r**3 + 3*r**2 + 2*r - 3. Let p be s(3). Let f = -17 - p. Factor -d**2 - f*d + 3*d + 3*d.
-d*(d + 1)
Suppose -4*b + 4 + 4 = 0. Determine k so that -k**b + 2*k**2 + 0*k**2 = 0.
0
Let y = -6 - -8. Let r(f) be the first derivative of 4 - f**3 - 7*f**2 + 2*f**y - 16*f + 4*f - f**2. Determine d so that r(d) = 0.
-2
Let m(f) be the second derivative of -f**7/84 + f**6/30 - f**4/12 + f**3/12 + 12*f. Determine i, given that m(i) = 0.
-1, 0, 1
Suppose 4*o = -2*j + 46 - 14, -3*o = 5*j - 101. Suppose -1 + 10 = 3*m, 2*z + 4*m - j = 0. Solve -1/4*q**3 + 0*q + 1/4*q**z - 1/4*q**4 + 1/4*q**2 + 0 = 0.
-1, 0, 1
Let n be (-6)/5*3/(-9). Let s(q) be the first derivativ