- 1)*(2*x - 1)/3
Let o(g) be the third derivative of g**5/210 - g**4/42 - 8*g**3/21 - 17*g**2. Factor o(h).
2*(h - 4)*(h + 2)/7
Suppose -9 - 15 = -4*t. Find z such that -2*z + 3*z**5 + t*z**2 - z - 7*z**4 + z**4 = 0.
-1, 0, 1
Suppose 0 = 5*k + c + 35, c - 6 = 2*k + 3*c. Let q be 2*4/k - -1. Solve 2/7*i - 2/7*i**3 + q + 0*i**2 = 0.
-1, 0, 1
Factor 3 - 15*o - 4 + 3 + 125*o**3.
(5*o - 1)**2*(5*o + 2)
Let r(w) be the first derivative of -w**4/18 + 4*w**3/9 - 11*w**2/9 + 4*w/3 + 14. Suppose r(f) = 0. What is f?
1, 2, 3
Let o(s) = -s**3 + s**2 + 1. Let f(n) = 2*n**3 - 7. Let j(h) = f(h) + 3*o(h). Factor j(c).
-(c - 2)**2*(c + 1)
Suppose -6/5*j**4 + 0 + 0*j + 8/15*j**2 + 8/5*j**3 - 14/15*j**5 = 0. Calculate j.
-2, -2/7, 0, 1
Let g(d) = -d**2 - 17*d - 16. Let v be g(-16). Factor -2/3*q**2 + v + 0*q.
-2*q**2/3
Let -10*y + 33*y**2 + 48*y**3 - 8*y**2 + 2*y**5 + 16*y**4 + 39*y**2 + 42*y = 0. Calculate y.
-2, 0
Let u(c) be the third derivative of 1/60*c**5 - 1/630*c**7 + 1/360*c**6 + 0 + 0*c + c**2 - 1/9*c**3 - 1/72*c**4. Factor u(q).
-(q - 2)*(q - 1)*(q + 1)**2/3
Suppose 3*f - 45 = -2*f. Let s be 4/(-16) + f/4. Determine q, given that -q**3 - 2*q - 3*q**4 - 2*q + 5*q + 2*q**4 + q**s = 0.
-1, 0, 1
Let 16/9*h**2 - 20/9*h**3 + 8/9*h**4 - 4/9*h + 0 = 0. Calculate h.
0, 1/2, 1
Let g(r) = r**2 + 28*r + 52. Let h be g(-26). Solve -1/5*y**3 + h - 1/5*y - 2/5*y**2 = 0 for y.
-1, 0
Let w be 9/3*87/9. Let z = -141/5 + w. Determine y, given that -2/5*y**3 - 2/5*y + z*y**2 + 0 = 0.
0, 1
Let c(o) = o**3 + o**2 + 7*o + 3. Let j = 8 - 5. Let r(n) = 4 + 8*n + 2*n**2 - n**3 + 5*n**3 + n**3 - 3*n**3. Let h(l) = j*r(l) - 4*c(l). Factor h(k).
2*k*(k - 1)*(k + 2)
Suppose -2*j + 7 = -4*t + 17, 0 = -3*t - 4*j + 24. Let w(v) be the second derivative of 1/6*v**3 + 4*v + 1/6*v**t + 0 + 0*v**2 + 1/20*v**5. Factor w(k).
k*(k + 1)**2
Let b(f) = 14*f**4 - 4*f**3 + 6*f**2 + 6*f - 6. Let h(k) = -13*k**4 + 3*k**3 - 5*k**2 - 5*k + 5. Let a(n) = -5*b(n) - 6*h(n). What is w in a(w) = 0?
-1/4, 0
Let k be (-6)/(-21) - 66/(-14). Let j be (-4)/k*25/(-10). Factor -i**2 + 3*i + 0 + 0*i**j - 2.
-(i - 2)*(i - 1)
Let v(o) be the first derivative of 4*o**3/3 - 4*o**2 - 18. Factor v(x).
4*x*(x - 2)
Let n(k) be the second derivative of 3*k**5/10 + 5*k**4/6 + 7*k**3/9 + k**2/3 + 4*k. Factor n(w).
2*(w + 1)*(3*w + 1)**2/3
Let 0 + 0*o + 10/7*o**5 + 0*o**2 - 2/7*o**3 + 8/7*o**4 = 0. What is o?
-1, 0, 1/5
Determine b, given that 74*b**4 + 272*b**2 - 208*b**3 - 54*b**5 + 19*b**5 - 160*b + 25*b**5 + 32 = 0.
2/5, 1, 2
Let q(v) be the third derivative of -v**7/70 - v**6/20 + v**4/4 + v**3/2 - 17*v**2. Factor q(d).
-3*(d - 1)*(d + 1)**3
Suppose -4*a = -p - 17 + 4, -4*a + 28 = 4*p. Suppose p*j + 1 = 5*y + 16, -4*j + 20 = 4*y. Let 3*u + 1 - 2*u**2 - j + 0*u**2 - 9*u = 0. What is u?
-2, -1
Find u such that 2/11*u**2 + 72/11*u + 648/11 = 0.
-18
Let y(v) = 14*v**5 + 4*v**4 - 4*v**2 + 2*v. Let l(u) = -9*u**5 - 3*u**4 + 3*u**2 - u. Let n(q) = 8*l(q) + 5*y(q). What is t in n(t) = 0?
-1, 0, 1
Let i = 19/20 + -1/5. Factor 3/4*l**2 + i*l + 0.
3*l*(l + 1)/4
Let l(t) be the first derivative of -t**3/15 - 2*t**2/5 + 16. Factor l(r).
-r*(r + 4)/5
Solve -12/7*h + 34/7*h**2 + 0 - 10/7*h**3 = 0.
0, 2/5, 3
Suppose -5*z - 3 = -2*k - 27, 0 = -z - 3*k - 2. Suppose 2*v = z*v - 6. Let 2*n**2 - 2*n**v - 5*n**3 + 5*n**3 = 0. Calculate n.
0, 1
Let p(b) = -b**3 - 6*b**2 + 6*b - 7. Let i be p(-7). Let d be (-21)/(-9) - 6/(-9). Suppose 3*m**d - 3/2*m + i - 3/2*m**2 = 0. Calculate m.
-1/2, 0, 1
Find m, given that -2/3 - 1/3*m + m**2 = 0.
-2/3, 1
Let 0 + 2/5*q + 2/15*q**2 = 0. Calculate q.
-3, 0
Suppose 8 = 11*h - 25. Let m(w) be the first derivative of -3 + 0*w**4 + 0*w**2 + 0*w + 1/9*w**h - 1/15*w**5. Factor m(y).
-y**2*(y - 1)*(y + 1)/3
Let z(i) be the first derivative of i**4/10 - 8*i**3/15 + i**2 - 4*i/5 - 22. Solve z(h) = 0.
1, 2
Let q = -6 - -26. Let i = -12 + q. Factor -i*o**2 + 4*o**3 + 0 - 2*o**3 + 10*o - 4.
2*(o - 2)*(o - 1)**2
Suppose -17 = -5*l + 8. Let m(r) be the first derivative of 1/12*r**4 + 0*r**2 - 1/15*r**l + 0*r**3 + 1 + 0*r. Factor m(a).
-a**3*(a - 1)/3
Let r = -138/7 - -20. Suppose 0 = 9*o - 7*o - 4. Factor r + 10/7*g + 8/7*g**o.
2*(g + 1)*(4*g + 1)/7
Let o(d) = -d + 7. Let a be o(5). Factor 1/2*m**a - 1/2*m - 1.
(m - 2)*(m + 1)/2
Suppose 0 = -6*z + 3*z + 6. Suppose 3*o - 7 = z. Let -4 - f**4 - 5*f**3 + 3*f**2 - 4*f + 3*f**3 + 4*f**o = 0. Calculate f.
-1, 2
Suppose 5*w + 3*j = 42 - 18, -15 = -w - 4*j. Let s be 1 + 0 + 2/6. Find d such that 0*d**2 + 2*d - 2/3*d**w + s = 0.
-1, 2
Let m(q) = -2 + 4*q**2 - 8*q - 15 + 3. Suppose 2*d = -11 - 1. Let r(k) = -3*k**2 + 8*k + 13. Let z(v) = d*r(v) - 5*m(v). Suppose z(h) = 0. What is h?
-2
Let d(p) = -2*p + 10. Let g be d(10). Let z(a) = -4*a**2 - 32*a - 69. Let r(j) = -2*j**2 - 16*j - 35. Let v(c) = g*r(c) + 6*z(c). Factor v(n).
-4*(n + 4)**2
Let t(u) = 4*u**2 + u. Let n be t(-1). Suppose -n*d + 0 + 0*d**3 - 3*d**2 - 1 - d**3 + 0*d**3 = 0. What is d?
-1
Factor -4/9*c**3 + 2/9*c**4 + 2/9*c**5 + 0*c**2 + 0 + 0*c.
2*c**3*(c - 1)*(c + 2)/9
Let o be (-73)/(-6) - (-2)/(-12). Suppose 0 = d + 3*d - o. Factor -6/5*x**2 + 0 + 2/5*x - 8/5*x**d.
-2*x*(x + 1)*(4*x - 1)/5
Let a(u) = u**3 - 7*u**2 + 6*u - 2. Let m be a(6). Let l(c) = -3*c. Let b be l(m). Determine s so that 5*s - 4*s**5 + 6*s**2 - b*s**4 - 2*s + s**5 = 0.
-1, 0, 1
Let y(b) be the second derivative of -b**4/15 - 16*b**3/15 - 32*b**2/5 - 7*b. Determine d, given that y(d) = 0.
-4
Suppose 4*n - 8 = 8. Let u be n/10 - 2/5. Solve 1/4 - 1/4*z**2 + u*z = 0 for z.
-1, 1
Let y be (-52)/(-90) - (-6)/27. Let l be -4*((-22)/20 + 1). Factor y + l*a - 2/5*a**2.
-2*(a - 2)*(a + 1)/5
Let k(f) = 62*f**2 + f + 17. Let d(w) = 21*w**2 + 6. Let a(g) = -17*d(g) + 6*k(g). Factor a(j).
3*j*(5*j + 2)
Let r(v) be the third derivative of v**7/210 - v**6/30 + v**5/12 - v**4/12 + 5*v**2. Factor r(p).
p*(p - 2)*(p - 1)**2
Suppose -3*v + 6*v - 9 = 0. Suppose 4*u - 1 = 15. Solve 2*a + u*a**4 - 2*a**4 + 2*a - 4*a**v - 2 = 0.
-1, 1
Let g(a) be the third derivative of -a**8/840 + a**7/210 - a**6/180 + 2*a**3/3 - 3*a**2. Let z(l) be the first derivative of g(l). Factor z(t).
-2*t**2*(t - 1)**2
Factor -18*r + 5 + 2*r + 6*r + 5*r**2.
5*(r - 1)**2
Factor 2/3*b**2 + 1/3*b + 1/3*b**3 + 0.
b*(b + 1)**2/3
Suppose 5*r = 4*r + 8. Suppose -3*v**2 - 2*v**2 - 4 + r*v - 2*v + 3*v**2 = 0. Calculate v.
1, 2
Let t = 4 - 0. Let p(v) be the first derivative of -11*v**4/4 - 7*v**2/2 - 1. Let h(n) = -5*n**3 - 3*n. Let f(g) = t*p(g) - 9*h(g). What is m in f(m) = 0?
-1, 0, 1
Let -u**3 - 6*u**2 + 0*u**3 - u + 6 - 2*u + 4*u**3 = 0. What is u?
-1, 1, 2
Let p(j) = -j + 1. Let d(c) = -10*c**2 + 8*c + 2. Let i(o) = d(o) - 4*p(o). Find n such that i(n) = 0.
1/5, 1
Let m be 4/2 - ((-6)/2 - 0). Factor -10/7*s**4 - 4/7*s**3 + 0*s**2 + 0*s + 2*s**m + 0.
2*s**3*(s - 1)*(7*s + 2)/7
Let g(s) be the first derivative of s**6/2340 - s**5/780 - 5*s**3/3 + 4. Let l(u) be the third derivative of g(u). What is d in l(d) = 0?
0, 1
Suppose 3*x - 25 = -2*x. Let t be ((-1)/(-18))/(x/20). Factor 0*j - t*j**3 + 0 + 0*j**2.
-2*j**3/9
Factor -1/2*i**2 + 0 - i.
-i*(i + 2)/2
Let k(w) = 5*w**3 - 25*w**2 + 38*w - 15. Let b(s) = -40*s**3 + 200*s**2 - 305*s + 120. Let c(u) = -3*b(u) - 25*k(u). Factor c(g).
-5*(g - 3)*(g - 1)**2
Suppose 0 = -l - 3*l + 12. Suppose -4*f + 2 = -0*b - l*b, -3*f + 10 = 2*b. Suppose 2 + 0 - 6*j**b + 4*j**2 = 0. What is j?
-1, 1
Suppose -7*q + 2*q = -10, -5*z + 2*q + 11 = 0. Factor 0*p**4 + 2/3*p**2 + p**z + 0*p - 1/3*p**5 + 0.
-p**2*(p - 2)*(p + 1)**2/3
Let f = -8732/11 - -794. Solve -f*v**2 - 18/11 - 12/11*v = 0.
-3
Let k(i) be the first derivative of 36/5*i**2 + 12/5*i - 147/20*i**4 - 6 + 21/5*i**3. Factor k(l).
-3*(l - 1)*(7*l + 2)**2/5
Let l(s) = 5*s - 4*s + 0*s. Let q(j) = -8*j**3 + 18*j**2 - 16*j + 2. Let g(a) = 4*l(a) + q(a). Suppose g(r) = 0. What is r?
1/4, 1
Let r be (9 + (-86)/9)/(5/(-2)). Factor 0 - 2/9*j**3 + 0*j**2 + r*j.
-2*j*(j - 1)*(j + 1)/9
Suppose 2*w - 10 = 0, -c - 3*w = -2*c - 16. Let l be (1 - (0 - c))/(-2). Find p such that l*p + 0 + 2/9*p**2 = 0.
0
Let i(y) be the third derivative of y**5/30 + y**4/12 - 2*y**3/3 + y**2. Factor i(n).
2*(n - 1)*(n + 2)
Let x(l) be the third derivative of l**6/80 + l**5/20 + l**4/16 - 14*l**2. Factor x(b).
3*b*(b + 1)**2/2
Let t = 446/3