2*u**2 + 1/72*u**g + 0 - 1/360*u**6. What is s in o(s) = 0?
-1, 0, 1
Let p(o) = -15*o**2 + 12*o - 6. Let x(w) = w**3 - 29*w**2 + 25*w - 12. Let m(y) = 5*p(y) - 3*x(y). Solve m(n) = 0 for n.
1, 2
Suppose -i + 3 = 1. Factor i*y**2 + y**2 + 12*y + y**2.
4*y*(y + 3)
Let p(f) = 485*f**4 - 595*f**3 + 80*f**2 - 55. Let h(w) = -18*w**4 + 22*w**3 - 3*w**2 + 2. Let c(n) = -55*h(n) - 2*p(n). Find t such that c(t) = 0.
0, 1/2
Factor -4*f**2 - 5*f**4 + 33*f**2 - 14*f**2 - 10*f.
-5*f*(f - 1)**2*(f + 2)
Let c(n) be the third derivative of n**5/45 + 2*n**4/9 - 2*n**2. Determine b so that c(b) = 0.
-4, 0
Let u(s) be the first derivative of -s**9/4536 + s**8/1260 - s**7/1260 + s**3 - 5. Let o(c) be the third derivative of u(c). Factor o(d).
-2*d**3*(d - 1)**2/3
Suppose -2*v - 3*v + 20 = 0. Let j be (30/25)/((-4)/(-10)). Suppose o**3 + o**v - 2*o - 1 + 0 + o**j = 0. Calculate o.
-1, 1
Let v(k) be the first derivative of 7*k**4/4 - 10*k**3/3 - 11*k**2/2 + 6*k - 56. Factor v(n).
(n - 2)*(n + 1)*(7*n - 3)
Let u = 2253/2 + -22343/18. Let v = u + 115. Solve 2/9*k**2 + 0 + v*k**3 + 0*k - 2/9*k**4 - 2/9*k**5 = 0 for k.
-1, 0, 1
Let g(x) be the first derivative of 2*x**6/21 - 4*x**5/35 - x**4/7 + 4*x**3/21 + 20. Let g(h) = 0. Calculate h.
-1, 0, 1
Let r(s) be the first derivative of -3 + 5/12*s**4 - 2/3*s**3 + 1/15*s**5 - 3/2*s**2 - 1/12*s**6 + 0*s. Let b(g) be the second derivative of r(g). Factor b(p).
-2*(p - 1)*(p + 1)*(5*p - 2)
Let z(v) be the first derivative of v**6/24 + 9*v**5/20 + 15*v**4/8 + 23*v**3/6 + 33*v**2/8 + 9*v/4 + 8. Factor z(i).
(i + 1)**3*(i + 3)**2/4
Factor 1/2 + 5/4*c + 1/4*c**3 + c**2.
(c + 1)**2*(c + 2)/4
Let u = -3 - -2. Let q(y) = -y**3 + y + 1. Let c(k) = k**3 - k - 3. Let s(m) = u*c(m) - 3*q(m). Suppose s(w) = 0. What is w?
-1, 0, 1
Let j be -3 + 3 + -1 - -6. Let 6*s**3 - 5*s**j + 4*s**5 - 3*s**4 + 0*s**4 - 2*s**5 = 0. Calculate s.
-2, 0, 1
Suppose 6 = -b + 8. Let r be -2 - ((-23)/3 + 1). Let -43/6*d**3 - 17/6*d**b - r*d**4 - 1/3*d + 0 = 0. Calculate d.
-1, -2/7, -1/4, 0
Factor -6/7*m**2 + 4/7*m**3 + 4/7 - 6/7*m.
2*(m - 2)*(m + 1)*(2*m - 1)/7
Suppose o - 3*o = -d + 3, -3 = -d + o. Let x = -7 + 16. Factor i - x*i**2 + i + d*i**2.
-2*i*(3*i - 1)
Let f(x) be the first derivative of x**9/1512 - x**8/420 + x**7/420 - x**3 + 2. Let v(p) be the third derivative of f(p). Factor v(a).
2*a**3*(a - 1)**2
Let -7*a + 2*a - 16*a**3 + 2*a**2 + 5*a + 14*a**4 = 0. Calculate a.
0, 1/7, 1
Let -1/5*b**5 + 4/5 + 8/5*b**3 - 2/5*b**2 - 2/5*b**4 - 7/5*b = 0. Calculate b.
-4, -1, 1
Let d(w) = -w**2 - 10*w + 7. Let x = -30 + 15. Let b(p) = 3*p**2 + 39*p - 27. Let s(t) = x*d(t) - 4*b(t). Solve s(o) = 0 for o.
1
Let v = -49 + 197/4. Let l = 1/12 + v. Solve 1/3*u**4 - 2/3*u**3 + 2/3*u - l + 0*u**2 = 0.
-1, 1
Let v(t) be the first derivative of -t + 5 + 2*t**2 - 5/12*t**3 - 7/16*t**4. Factor v(r).
-(r - 1)*(r + 2)*(7*r - 2)/4
Let t(w) = -w**2 - w. Let d(v) = -2*v + 2*v - 7*v - 7*v**2. Let b(y) = -d(y) + 5*t(y). Determine h, given that b(h) = 0.
-1, 0
Suppose 0*q + 2/13*q**4 + 0*q**3 + 2/13 - 4/13*q**2 = 0. Calculate q.
-1, 1
Let r(f) be the first derivative of 4*f**3/9 - 2*f**2/3 - 8*f + 10. Factor r(b).
4*(b - 3)*(b + 2)/3
Let g(u) = 16*u**2 - 40*u + 20. Let c(m) = -m**3 + m**2 - m. Let y(q) = -4*c(q) + g(q). Solve y(b) = 0.
-5, 1
Let t be (-8)/(-26)*(-507)/(-390). Find p such that 6/5*p**2 - 2/5*p**3 - 6/5*p + t = 0.
1
Suppose d + 5*g + 4 = 6, -10 = -5*d - 2*g. Let -6/11*m**3 - 4/11 + 6/11*m + 2/11*m**4 + 2/11*m**d = 0. What is m?
-1, 1, 2
Suppose 0 = 2*s - 4 - 46. Let j be s/18 - 5/(-45). Let 3 - 51*n**3 + j*n - 24*n**2 - 21/2*n**5 - 39*n**4 = 0. What is n?
-1, 2/7
Let a(t) be the third derivative of -t**7/1575 + t**6/450 - t**4/90 + t**3/45 + 10*t**2. Solve a(w) = 0 for w.
-1, 1
Let c be (-2)/2 + 2/20*12. Factor 0 - c*z + 2/5*z**2 - 2/5*z**4 + 1/5*z**3.
-z*(z - 1)*(z + 1)*(2*z - 1)/5
Factor 2*l**5 + 12*l**3 + 6 - 12*l**5 - 2*l**4 + 8*l**5 + 28*l**2 + 22*l.
-2*(l - 3)*(l + 1)**4
Suppose -2*p = -7*p - 4*y + 3, -3*y = -5*p + 24. Factor -1/3*d**4 + 0 + 1/3*d - 1/3*d**p + 1/3*d**2.
-d*(d - 1)*(d + 1)**2/3
Let w = 14/9 - 11/9. What is o in 3 - 2*o + w*o**2 = 0?
3
Let u(o) be the first derivative of -o**6/24 + o**5/40 - 3. Let u(r) = 0. What is r?
0, 1/2
Let q = 149 - 149. What is s in -1/4*s**4 + 1/2*s**3 + q - 1/4*s**2 + 0*s = 0?
0, 1
Let p(v) be the first derivative of v**6/360 + v**5/180 - v**4/72 - v**3/18 + 2*v**2 - 2. Let f(j) be the second derivative of p(j). Solve f(x) = 0.
-1, 1
Find p such that -3/2*p**2 - 6 - 6*p = 0.
-2
Let q(v) be the first derivative of -v**4/4 + 2*v**3/3 - 5. Factor q(y).
-y**2*(y - 2)
Let k be (-2)/9 + 52/18. Let t be (-1043)/(-105) - (-9)/(-15). Factor -k*w**4 - 38/3*w**2 - 8/3 + 25/3*w**3 + t*w + 1/3*w**5.
(w - 2)**3*(w - 1)**2/3
Let z(s) be the first derivative of -1/3*s**2 + 1/9*s**3 - s - 2. What is w in z(w) = 0?
-1, 3
Let y(u) be the third derivative of u**6/540 + u**5/54 - 7*u**2. Let y(d) = 0. Calculate d.
-5, 0
Let y(t) be the third derivative of -t**8/10080 + t**6/360 + t**5/30 - t**2. Let o(z) be the third derivative of y(z). Factor o(m).
-2*(m - 1)*(m + 1)
Let f(z) be the third derivative of -z**5/200 + z**4/30 - z**3/15 - z**2 - 1. Suppose f(b) = 0. Calculate b.
2/3, 2
Let o(v) = -v**3 - 7*v**2 - 8*v - 9. Suppose 4*f = -2*r - 0*r - 32, -5*f - 42 = 3*r. Let t be o(f). Let -4 + 0*d**2 - d**3 + t*d**2 + 2*d**3 = 0. Calculate d.
-2, 1
Let d = 48382/5 + -4790011/495. Let a = 1/99 - d. Factor 2/5*c + a*c**3 + 0 + 4/5*c**2.
2*c*(c + 1)**2/5
Let n(b) be the third derivative of -1/144*b**4 - 1/36*b**3 + 1/360*b**5 + 0*b + 7*b**2 + 0 + 1/720*b**6. Determine p, given that n(p) = 0.
-1, 1
Factor -5*d**2 - 5*d + 8*d**4 + 9*d**4 + 5*d**3 - 12*d**4.
5*d*(d - 1)*(d + 1)**2
Let f(k) be the third derivative of 4*k**7/315 - 3*k**6/20 + 37*k**5/90 - k**4/4 - 5*k**3/9 - 2*k**2. What is l in f(l) = 0?
-1/4, 1, 5
Let d(p) be the third derivative of 0*p**3 - 4*p**2 + 0*p**5 + 1/1512*p**8 - 2/945*p**7 + 0*p**4 + 0 + 1/540*p**6 + 0*p. Factor d(n).
2*n**3*(n - 1)**2/9
Let f(v) be the third derivative of -3/8*v**4 + 0*v + 4*v**2 + 0*v**3 - 1/10*v**5 + 0. Solve f(s) = 0.
-3/2, 0
Let h(p) be the second derivative of -1/2*p**4 - p**2 - p**3 + 0 - 1/10*p**5 + 3*p. Factor h(f).
-2*(f + 1)**3
Suppose 5*h + 4*q = -1, -3*h - h + 2*q + 20 = 0. Let s = h + 0. Factor 2*m + 2 + 4*m**2 + 3*m + 4*m**3 - 3*m**s.
(m + 1)**2*(m + 2)
Let p(t) = -9*t**5 + 18*t**4 + 6*t**3 - 30*t**2 - 27*t - 6. Let j(b) = 8*b**5 - 17*b**4 - 6*b**3 + 31*b**2 + 27*b + 5. Let o(y) = 6*j(y) + 5*p(y). Factor o(a).
3*a*(a - 3)**2*(a + 1)**2
Let o(n) be the first derivative of -2/45*n**5 - 3 - 1/18*n**4 + 0*n**2 + 0*n**3 + 0*n. Determine f, given that o(f) = 0.
-1, 0
Let f(k) be the first derivative of k**3/18 - k**2/12 - 20. Factor f(m).
m*(m - 1)/6
Solve 0 - 4 - 5*f**2 - 7*f**3 - 412*f + 428*f = 0 for f.
-2, 2/7, 1
Let p = 37 - 24. Suppose 2*k + j = 6*k - 15, p = 4*k - 3*j. Factor 0*f**4 - f**k + 2*f**4.
f**4
Let g = -4 - -5. Let l(s) = -s**4 + s**3 - s + 1. Let c(r) = -10*r**4 + 22*r**3 - 15*r**2 + 2*r + 1. Let a(h) = g*l(h) - c(h). Factor a(p).
3*p*(p - 1)**2*(3*p - 1)
Let w(c) = 5*c**2 - 9*c + 8. Let h(u) = u**2 + 7*u + 2. Let x be h(-7). Let y(l) = -51*l**2 + 90*l - 81. Let p(j) = x*y(j) + 21*w(j). Factor p(r).
3*(r - 2)*(r - 1)
Let f(x) be the third derivative of x**6/780 - 5*x**2. Let f(t) = 0. What is t?
0
Let x be (-56)/(-105) - (2 - (-10)/(-6)). Determine s so that 1/5*s**4 - x*s**2 + 0*s + 0*s**3 + 0 = 0.
-1, 0, 1
Factor 8/5*s**3 + 0*s**2 + 2*s**5 + 0*s + 0 + 24/5*s**4.
2*s**3*(s + 2)*(5*s + 2)/5
Let b be -3 + 1*(2 + 0). Let m = b - -1. Factor -2/3*x + 4/3*x**4 - 10/3*x**3 + m + 8/3*x**2.
2*x*(x - 1)**2*(2*x - 1)/3
Let x = -24 + 4. Let a be 3*(x/(-18) - 1). Factor 0 + a*n**2 + 0*n + 1/3*n**3.
n**2*(n + 1)/3
Let w = 23/188 - -6/47. Let r = 28 + -26. What is l in 1/4*l**r + w + 1/2*l = 0?
-1
Let k(g) be the first derivative of g**8/1680 + g**7/840 - g**6/360 - g**5/120 + 4*g**3/3 + 1. Let t(q) be the third derivative of k(q). Factor t(a).
a*(a - 1)*(a + 1)**2
Solve 0 - 1/3*d + 1/3*d**2 = 0.
0, 1
Let l be 4/(-10) - -138*(-12)/(-45). What is c in 79/5*c**3 + 174/5*c**2 - l*c**4 + 8/5 + 68/5*c - 147/5*c**5 = 0?
-1, -2/3, -2/7, 1
Let h(s) = s**3 - 4*s**2 - 5*s. Let u be h(5). Suppose 4*