 h**4/4 - h**3/2 - 9*h**2. Factor l(m).
3*(m - 1)**3*(m + 1)
Let n(h) = h**3 - 7*h**2 - 9*h + 12. Let j be n(8). Suppose -5*p + 5*p + 18*p**3 - 14*p**j - 4*p**2 = 0. Calculate p.
0, 2/7, 1
Suppose 5*h = 2*m + 21, -m - 13 = -0*h - 3*h. Suppose -2*b = h*n + b - 9, 3*b - 9 = 5*n. Solve n + 35/4*t**4 + t**2 - 6*t**3 + 0*t = 0.
0, 2/7, 2/5
Let j(f) = 3*f + 13. Let i(l) = 4*l + 12. Let n(v) = -2*i(v) + 3*j(v). Let q be n(-13). Determine g so that 0 + 0*g + 0*g**q - 2/9*g**3 = 0.
0
Let t(h) be the second derivative of -h**6/60 + h**5/30 + h**4/6 + 2*h**2 + h. Let w(p) be the first derivative of t(p). Solve w(v) = 0 for v.
-1, 0, 2
Let s(v) = 7*v**2 + 9*v. Suppose k - 4 = 2. Let u(m) = -8*m**2 - 10*m. Let p(t) = k*s(t) + 5*u(t). Factor p(a).
2*a*(a + 2)
Let b(x) be the third derivative of x**7/70 - 7*x**6/40 + 9*x**5/10 - 5*x**4/2 + 4*x**3 + 32*x**2. Factor b(c).
3*(c - 2)**3*(c - 1)
Suppose 2*b + 0 - 4 = 0. Solve -2/3*m - 2/3*m**5 + 0*m**4 + 0*m**b + 4/3*m**3 + 0 = 0 for m.
-1, 0, 1
Let m = 1/4 + -1. Let v = 7/12 - m. Solve 2*i - 2/3*i**2 - v = 0.
1, 2
Let t(w) be the first derivative of -4*w**5/5 - 2*w**4 - 4*w**3/3 + 20. Factor t(j).
-4*j**2*(j + 1)**2
Factor 1/3*v**2 + 11/3*v + 0.
v*(v + 11)/3
Let s(v) be the first derivative of v**6/900 - v**5/150 + v**4/60 - 2*v**3/3 + 3. Let x(c) be the third derivative of s(c). Factor x(l).
2*(l - 1)**2/5
Let p(h) be the first derivative of -h**8/378 + h**7/105 - h**6/90 + h**5/270 - h**2 - 1. Let l(m) be the second derivative of p(m). Factor l(v).
-2*v**2*(v - 1)**2*(4*v - 1)/9
Factor 2/7*q**5 + 2/7*q + 12/7*q**3 - 8/7*q**4 + 0 - 8/7*q**2.
2*q*(q - 1)**4/7
Let k(m) = 9*m - 1. Let v(g) = g**2 + g + 1. Let h(b) = -3*k(b) - 12*v(b). Solve h(u) = 0.
-3, -1/4
Let 2 - t**5 + t**2 - 4*t**2 + 4*t**3 - 5*t + t**2 + 2*t = 0. Calculate t.
-2, -1, 1
Let m be ((-21)/6)/(2/(-4)). Suppose -5 = -4*x + m. Factor -5*z**x + 2*z**2 - 3*z**3 + 4*z**3 + 2*z**3.
-2*z**2*(z - 1)
Let u(v) be the second derivative of -v**6/225 + v**5/150 + v**4/30 - v**3/45 - 2*v**2/15 - 9*v + 5. Suppose u(y) = 0. What is y?
-1, 1, 2
Let r = -12/5 - -94/35. Determine p so that 0 + 0*p**3 + r*p**4 + 0*p - 2/7*p**2 = 0.
-1, 0, 1
Suppose k - 12 = -k. Let d be 2/k - (-10)/6. Suppose 0*x**2 + x**2 + 3*x**3 + d*x**5 - x**5 + 3*x**4 = 0. Calculate x.
-1, 0
Let m(w) = w**2. Let r(a) = -8*a**4 + 22*a**3 - 21*a**2 + 2*a + 2. Let d(u) = -6*m(u) - 2*r(u). Factor d(z).
4*(z - 1)**3*(4*z + 1)
Solve 5*c**2 - 17*c**3 + 5*c**3 + c + 10*c**3 + 4*c**3 - 2 = 0.
-2, -1, 1/2
Let f(r) be the third derivative of -r**5/140 - 3*r**4/56 - r**3/7 + r**2. Let f(i) = 0. What is i?
-2, -1
Let f(t) be the third derivative of -t**6/105 + t**5/30 - t**4/42 - t**3/21 - 2*t**2. Let f(g) = 0. Calculate g.
-1/4, 1
Let b(v) = v**2 - v. Let w(o) = o**2 + 5*o - 8. Let r be w(-6). Let q be b(r). Determine y, given that -1 - 18*y + q*y - 18*y**2 - 18*y**2 = 0.
-1/6
Let b(f) be the second derivative of 1/60*f**5 + 0*f**2 - 1/90*f**6 + 1/36*f**4 + 5*f - 1/18*f**3 + 0. Let b(k) = 0. What is k?
-1, 0, 1
Let r(d) be the third derivative of -d**7/630 + d**6/72 - 7*d**5/180 + d**4/24 + 31*d**2. Let r(t) = 0. What is t?
0, 1, 3
Let a(h) be the first derivative of h**6/24 + h**5/5 + 3*h**4/8 + h**3/3 + h**2/8 - 16. Factor a(g).
g*(g + 1)**4/4
Let m(c) = -c - 2. Let b be m(-8). Let p(j) = -j**3 + j**2 - 1. Let y(r) = 9*r**3 + 3*r**2 + 6*r + 6. Let g(a) = b*p(a) + y(a). Factor g(o).
3*o*(o + 1)*(o + 2)
Suppose -q - 3 = -6. Suppose 0 = r + q*r. Let 0 - 2/5*x**5 + r*x - 2/5*x**3 + 4/5*x**4 + 0*x**2 = 0. Calculate x.
0, 1
Suppose 0 = -2*n + 4*l - 24, -l - 1 = n + 2*n. Let q(g) = -2*g**2 - 1. Let b(f) = 2*f**2 + 0*f**2 - 3*f**2 - 1 + f. Let t(u) = n*b(u) + 2*q(u). Factor t(s).
-2*s*(s + 1)
Let k(w) be the first derivative of w**6/6 - 2*w**5/5 + 2*w**3/3 - w**2/2 + 10. Solve k(s) = 0 for s.
-1, 0, 1
Let h be ((-15)/80)/((-3)/6). Let s = 1/40 + h. Solve 0 - 4/5*x - s*x**3 - 6/5*x**2 = 0.
-2, -1, 0
Let h(r) be the third derivative of 0*r**3 + 8*r**2 + 0*r**4 + 0*r**5 + 0*r + 0 + 1/300*r**6 + 0*r**7 - 1/840*r**8. Let h(b) = 0. What is b?
-1, 0, 1
Let u = -193 - -581/3. What is n in 0 + 0*n**2 - u*n**3 + 0*n**4 + 0*n + 2/3*n**5 = 0?
-1, 0, 1
Let c(u) be the third derivative of -u**8/840 + u**7/525 + u**6/100 - u**5/30 + u**4/30 - 18*u**2. Factor c(d).
-2*d*(d - 1)**3*(d + 2)/5
Let z = 3052 + -9274/3. Let n = z + 40. Factor -n - 2*f**2 - 2/3*f**3 - 2*f.
-2*(f + 1)**3/3
Let x be 3 - 4*3/12. Let f(y) be the second derivative of 1/15*y**3 + 0 + 1/30*y**4 - 4/105*y**7 + 11/75*y**6 + 0*y**x - 9/50*y**5 + 3*y. Solve f(i) = 0 for i.
-1/4, 0, 1
Let r be ((-3)/18*2)/((-112)/126). Factor 1/8*x**2 - r*x + 1/4.
(x - 2)*(x - 1)/8
Suppose -4 = -6*d + 8. Let u(s) be the third derivative of 1/18*s**4 + 0*s + d*s**2 - 1/90*s**5 + 0 + 0*s**3. Suppose u(o) = 0. What is o?
0, 2
Let v(y) be the second derivative of y**4/3 - 4*y**3/3 - 6*y**2 + 10*y. Factor v(w).
4*(w - 3)*(w + 1)
Factor 9*d - 7*d**3 - d**4 - d - d**3 + 4*d**2 - 3*d**4.
-4*d*(d - 1)*(d + 1)*(d + 2)
Let c**2 - 4 + 15*c + 14 + 4*c**2 = 0. What is c?
-2, -1
Let d = 83 + -80. Let m be (-6)/(0 + (-3)/2). Factor 2/11*j**m + 32/11 + 64/11*j + 48/11*j**2 + 16/11*j**d.
2*(j + 2)**4/11
Let x(k) be the third derivative of k**6/160 - k**5/20 + 5*k**4/32 - k**3/4 + 11*k**2. Factor x(m).
3*(m - 2)*(m - 1)**2/4
Let m(u) be the second derivative of -u**6/195 + 7*u**5/130 + 3*u**4/26 - 7*u**3/39 - 8*u**2/13 - 24*u. Let m(s) = 0. Calculate s.
-1, 1, 8
Let d(b) be the second derivative of b**7/294 + 2*b**6/105 + b**5/28 + b**4/42 - 4*b. Factor d(f).
f**2*(f + 1)**2*(f + 2)/7
Let v(a) be the third derivative of -a**2 + 2/735*a**7 + 0*a**5 + 0*a**4 + 0*a**3 + 1/420*a**6 + 0*a + 1/1176*a**8 + 0. What is u in v(u) = 0?
-1, 0
Find m such that -4*m**3 - 8 + 4 - 8*m + 12*m + 4*m**2 = 0.
-1, 1
Suppose -2*k - 3*k = -30. Suppose -g - 2 = -k. Solve -3*c**4 - g*c**4 - 5*c**3 + 3*c**4 - c**2 = 0.
-1, -1/4, 0
Let v be 2/7 - ((-32)/84 - 0). Solve -4/3*g - v*g**2 - 2/3 = 0.
-1
Let w(b) = -13*b**4 - 53*b**3 - 63*b**2 - 29*b - 4. Let v(z) = 64*z**4 + 264*z**3 + 316*z**2 + 146*z + 20. Let u(s) = 3*v(s) + 16*w(s). Factor u(p).
-2*(p + 2)*(2*p + 1)**3
Let f(l) = 6*l**3 - 9*l**2 - 15*l + 9. Let h(t) = 3*t**3 - 4*t**2 - 7*t + 4. Let r(v) = 4*f(v) - 9*h(v). What is a in r(a) = 0?
-1, 0, 1
Let k(l) = -l**5 - l + 1. Let o(a) = 9*a**5 - 18*a**4 - 39*a**3 - 36*a**2 - 12. Let h(n) = -12*k(n) - o(n). Suppose h(t) = 0. Calculate t.
-2, -1, 0
Let x = -8 - -16. Let m(d) = -2*d**4 + 17*d**3 - 8*d**2 + 5*d + 8. Let j(c) = c**4 - 6*c**3 + 3*c**2 - 2*c - 3. Let n(y) = x*j(y) + 3*m(y). Factor n(t).
t*(t + 1)**2*(2*t - 1)
Let i(j) be the first derivative of -j**4/8 + j**3/18 - 14. Determine n, given that i(n) = 0.
0, 1/3
Factor 49/4 + 7/2*m + 1/4*m**2.
(m + 7)**2/4
Let i(y) be the second derivative of -3*y**5/70 + 4*y**4/21 - 4*y**3/21 + 15*y. Factor i(u).
-2*u*(u - 2)*(3*u - 2)/7
Let v(q) be the first derivative of 7 + 0*q**2 - 2/5*q**5 + 4/3*q**3 + 0*q**4 - 2*q. Factor v(r).
-2*(r - 1)**2*(r + 1)**2
Let z = 27/4 + -235/36. Let d = 152 - 152. Suppose d + z*k**3 + 0*k**2 + 0*k = 0. What is k?
0
Suppose 11*v + 4*v = 75. Factor 1/2*m**3 + 0 - m**4 + 0*m**2 + 1/2*m**v + 0*m.
m**3*(m - 1)**2/2
Let w(b) = -5*b**3 - 19*b**2 - 26*b + 48. Let n(d) = -81*d**3 - 303*d**2 - 417*d + 768. Let k(r) = -2*n(r) + 33*w(r). Suppose k(f) = 0. What is f?
-4, 1
Let z = 9 + -10. Let w = z - -7. Solve w*t**5 + 34/3*t**2 + 14/3*t**3 - 14*t**4 + 8/3 - 32/3*t = 0 for t.
-1, 2/3, 1
Factor 0 + 32*x**2 - 30*x**2 + 0.
2*x**2
Let w(v) be the first derivative of 4*v**6/33 + 14*v**5/55 + v**4/11 - 2*v**3/33 - 4. Find o, given that w(o) = 0.
-1, 0, 1/4
Factor 2/3*x**2 - 76/3*x + 722/3.
2*(x - 19)**2/3
Let q = -2 - -21/10. Let h(t) be the second derivative of -q*t**5 + 0 + 1/42*t**7 - 7/6*t**3 + 2*t - 1/15*t**6 + t**2 + 2/3*t**4. Let h(c) = 0. Calculate c.
-2, 1
Let k(m) = -7*m**2 + 31*m - 1. Let l(j) = 3*j**2 - 15*j. Let g(b) = -6*k(b) - 13*l(b). Factor g(c).
3*(c + 1)*(c + 2)
Suppose 0 = 3*r + 2 - 17. Factor -r - 2*d**2 + 5.
-2*d**2
Let o(y) be the second derivative of y**6/60 + y**5/60 - y**4/6 + y**3/2 + 4*y. Let p(a) be the second derivative of o(a). Factor p(i).
2*(i + 1)*(3*i - 2)
Factor 7*o - 3*o + 12 + 12*o - 15*o**3 + 8*o - 21*o**2.
-3*(o - 1)*(o