that -4*x**5 - x**2 - x**2 - x**3 + 2*x**4 + 3*x**3 + 2*x**m = 0.
-1, 0, 1
Factor 3 + 3 - 34*f**2 + 37*f**2 + 9*f.
3*(f + 1)*(f + 2)
Let g be 96/(-15) - (-6)/15. Let t(h) = -h**2 + h - 1. Let r(m) = -2*m**3 - 14*m**2 - 4*m - 10. Let b(z) = g*t(z) + r(z). Determine i, given that b(i) = 0.
-2, -1
Let n(m) be the second derivative of 11*m**5/120 - m**4/36 - 9*m. Solve n(g) = 0 for g.
0, 2/11
Suppose 4*s = -2*u + 5 - 1, u - 4*s - 20 = 0. Suppose -5*q + 7 + u = 0. Find z, given that q*z - 1 - 3*z**2 + 1 = 0.
0, 1
Let c be (((-14)/(-60))/(-7))/(2/(-5)). Let n(h) be the second derivative of -c*h**3 - 1/48*h**4 + 2*h + 0 - 1/8*h**2. Factor n(a).
-(a + 1)**2/4
Let w = -12 + 7. Let h = -3 - w. Factor -j**2 - j + 3*j**2 + 0*j**2 - 3*j**h.
-j*(j + 1)
Let r(k) be the second derivative of k**2 + 2*k + 1/150*k**5 + 0*k**4 + 0 + 0*k**6 + 0*k**3 - 1/525*k**7. Let c(t) be the first derivative of r(t). Factor c(n).
-2*n**2*(n - 1)*(n + 1)/5
Let x = 2 - 0. Factor 6 - x + s**2 + 6*s - 3*s**2 - 2*s**4 - 6*s**3.
-2*(s - 1)*(s + 1)**2*(s + 2)
Let a be 3/(2 + -5)*1. Let z be (2/a)/(1/(-2)). Determine q, given that 7*q**3 - 7*q**3 - q**z - 1 + 2*q**2 = 0.
-1, 1
Let k(x) be the first derivative of 2*x**5/65 + 3*x**4/13 + 8*x**3/13 + 8*x**2/13 + 26. Determine a, given that k(a) = 0.
-2, 0
Let h(p) = 3*p - 6. Let o be h(3). Factor 0*v**2 + 0 + 1/3*v - 1/3*v**o.
-v*(v - 1)*(v + 1)/3
Let x(o) be the third derivative of -1/945*o**7 - 10*o**2 - 7/270*o**5 + 0*o - 1/36*o**4 + 0*o**3 - 1/108*o**6 + 0. Factor x(n).
-2*n*(n + 1)**2*(n + 3)/9
Let d be 74/10 - 20/50. Let a = -1 + 4. Solve -4*q**2 + 12*q**5 - d*q**a + 6*q**5 - 7*q**3 = 0 for q.
-2/3, -1/3, 0, 1
Let f(k) be the third derivative of k**5/75 - 2*k**4/15 - 2*k**3/3 - 6*k**2. Suppose f(n) = 0. Calculate n.
-1, 5
Factor k**2 - k + 4 + 2 - 5*k + 3.
(k - 3)**2
Let v be ((-6)/(-4))/(36/96). What is s in -3*s**5 - 2*s**3 + 7*s**2 - 9*s**2 + 2*s**v + 2*s**5 + 3*s**5 = 0?
-1, 0, 1
Let c be 3 + (-35)/10 - -1. Let t(a) be the second derivative of 0 - 4*a**2 + c*a**4 + 2*a + 1/10*a**5 + 0*a**3. Factor t(d).
2*(d - 1)*(d + 2)**2
Let t(c) = -c**2 + 3*c + 154. Let m be t(14). Factor 7/4*w**4 + m*w + 0 + 1/2*w**3 + 0*w**2.
w**3*(7*w + 2)/4
Factor -50/9*a**4 + 32/9*a**2 + 0 - 8/9*a - 10/9*a**3.
-2*a*(a + 1)*(5*a - 2)**2/9
Let p(u) be the second derivative of u**4/6 - u**3 + 2*u**2 - 4*u. Factor p(c).
2*(c - 2)*(c - 1)
Let l(p) be the third derivative of p**8/6720 + p**5/15 + p**2. Let v(z) be the third derivative of l(z). Solve v(w) = 0.
0
Factor 0 - 3/4*g**5 - 3/2*g - 15/4*g**4 - 21/4*g**2 - 27/4*g**3.
-3*g*(g + 1)**3*(g + 2)/4
Suppose 6*t = 2*t + 8. Factor -6*i**t - 2*i**2 - 4 - 2*i**3 - 22*i + 12*i.
-2*(i + 1)**2*(i + 2)
Let p(w) be the third derivative of -1/270*w**5 + 2/27*w**3 - 3*w**2 + 0*w + 0 - 1/108*w**4. Factor p(r).
-2*(r - 1)*(r + 2)/9
Let w be 14/6 - 5*4/10. Let m(z) be the first derivative of -3 + 0*z**2 + 0*z + w*z**3. Factor m(d).
d**2
Let p(z) = -5*z**3 + 6*z**2 + 4*z - 4. Let a(w) = -10*w**3 + 11*w**2 + 9*w - 9. Let n(k) = -4*a(k) + 9*p(k). Factor n(v).
-5*v**2*(v - 2)
Suppose 3*t - 3 = -0. Factor -2*w + 4*w**2 + t - 2*w**3 - 1.
-2*w*(w - 1)**2
Let x(n) be the third derivative of -n**9/151200 + n**7/12600 - n**5/12 + 3*n**2. Let b(y) be the third derivative of x(y). Determine o, given that b(o) = 0.
-1, 0, 1
Determine u, given that 16/3*u + 2/3*u**3 + 10/3*u**2 + 8/3 = 0.
-2, -1
Suppose 6*f - 4 = 8. Let x be 2/(-3) - (-14)/12. Solve 0*r + x*r**3 - 1/4*r**f - 1/4*r**4 + 0 = 0 for r.
0, 1
Let u(z) be the second derivative of -z**5/12 - 5*z**4/36 + 5*z**3/9 + 24*z. Determine q, given that u(q) = 0.
-2, 0, 1
Let x(f) be the third derivative of -f**6/120 + f**4/8 + f**3/3 - 14*f**2. Factor x(t).
-(t - 2)*(t + 1)**2
Let s be (-9)/(-12) + (-69)/(-92). Determine n, given that -s*n**3 + 0 - 3/2*n**5 + 0*n**2 + 3*n**4 + 0*n = 0.
0, 1
Let l be 4 - 8/(64/(-102)). Let v = l + -16. Determine x, given that -v*x + 1/4*x**2 + 1/2 = 0.
1, 2
Let h(f) = -f**3 - 7*f**2 - 5*f + 8. Let l be h(-6). Suppose v + 2 = 2*i, l*i - 7*i = 3*v - 27. Factor -t**i - t**2 + 0*t**2 - t**4 + 3*t**3.
-t**2*(t - 1)**2
Let n be (-1)/(-1 - 3/(-4)). Let h be (10 - 10)/(0 - -1). Factor -1/4*b + 0*b**3 + 1/4*b**5 + h - 1/2*b**n + 1/2*b**2.
b*(b - 1)**3*(b + 1)/4
Factor 7/4*a**4 + 0*a**2 + 0 + 0*a + 1/2*a**3.
a**3*(7*a + 2)/4
Let z = -9 - -12. Suppose -2 + 7*a - 4*a + 1 - z*a**2 - 3*a**3 + 4 = 0. What is a?
-1, 1
Solve -2/9*w**3 - 4/9*w + 0 - 2/3*w**2 = 0.
-2, -1, 0
Let z(p) = 2*p**3 + 6*p**2 + 10*p. Let s(q) = -2*q**2 + 3*q**2 + 4*q**3 + q - 3*q**3. Let l(r) = 6*s(r) - z(r). Let l(x) = 0. Calculate x.
-1, 0, 1
Let m be 20/12 - 3/(-9). Let -f**m - f + 0*f + f**3 + f**4 + 0*f = 0. What is f?
-1, 0, 1
Let r(f) be the first derivative of f**7/210 - 7*f**6/360 + f**5/36 - f**4/72 + f**2/2 - 2. Let n(m) be the second derivative of r(m). Factor n(s).
s*(s - 1)**2*(3*s - 1)/3
Let x be 1*((-20)/(-6) + 15/(-5)). Factor x*h**3 + 0*h**2 - 1/3*h**4 + 0 + 0*h.
-h**3*(h - 1)/3
Suppose -3*k = -0*k - 6. Factor 14*y**k + 2 - 6*y + 2 - 12*y.
2*(y - 1)*(7*y - 2)
Let v(n) = -n**3 + 6*n**2 + 7*n + 3. Let a be v(7). Suppose 2/3*w**4 - 2/3*w**5 + 0*w - 2/3*w**2 + 0 + 2/3*w**a = 0. Calculate w.
-1, 0, 1
Let x(q) be the third derivative of q**7/70 + q**6/10 + 3*q**5/10 + q**4/2 + q**3/2 - 3*q**2. Factor x(j).
3*(j + 1)**4
Let 4/15 - 4/5*l**2 - 6/5*l**3 + 2/3*l = 0. Calculate l.
-1, -1/3, 2/3
Let y(f) be the second derivative of f**6/150 + 7*f**5/100 + f**4/4 + 3*f**3/10 - 11*f. Find j, given that y(j) = 0.
-3, -1, 0
Let p be 1 - (-2 + -1 - -2). Solve -8*k**2 + 0 + 51*k - 2 - p - 61*k - 2*k**3 = 0 for k.
-2, -1
Let u(g) be the third derivative of -g**6/210 - g**5/105 + g**4/21 + 4*g**2. Let u(h) = 0. What is h?
-2, 0, 1
Let b(z) be the third derivative of -z**8/3192 + z**7/1995 + z**6/570 - z**5/285 - z**4/228 + z**3/57 + 15*z**2. Factor b(y).
-2*(y - 1)**3*(y + 1)**2/19
Let f(s) be the second derivative of 0 + 4*s + 5/27*s**3 + 2/9*s**2 - 1/27*s**4 - 1/18*s**5. Factor f(c).
-2*(c - 1)*(c + 1)*(5*c + 2)/9
Find n, given that 0 + 0*n + 1/7*n**2 + 1/7*n**3 = 0.
-1, 0
Let r(h) be the second derivative of h**7/21 - 2*h**6/15 + h**4/3 - h**3/3 - 9*h. Let r(n) = 0. Calculate n.
-1, 0, 1
Suppose -3*u = 4*x - 17 - 1, -2*x = 2*u - 10. Let y be 2/(-6) + (u - -1). Factor -8/3 - 2/3*m**2 + y*m.
-2*(m - 2)**2/3
Let j(a) be the first derivative of -a**3/2 + 9*a**2/8 + 3*a/2 + 29. Solve j(r) = 0 for r.
-1/2, 2
Let a(o) be the second derivative of -2/45*o**6 + 0*o**2 + 0*o**3 + 2/63*o**7 - o + 1/9*o**4 - 1/15*o**5 + 0. Factor a(v).
4*v**2*(v - 1)**2*(v + 1)/3
Let c(p) be the third derivative of p**7/280 - p**6/40 + 3*p**5/40 - p**4/8 + p**3/6 - 6*p**2. Let r(v) be the first derivative of c(v). Solve r(m) = 0 for m.
1
Let p be 12/(-5 + -19) - 14/(-4). Solve 2/11*u**2 + 2/11*u**5 + 6/11*u**p + 0*u + 0 + 6/11*u**4 = 0.
-1, 0
Determine s, given that -3*s + 10*s**4 + 6 + 6*s**4 + 60*s**2 - 52*s**3 - 25*s - 2 = 0.
1/4, 1
Solve -28*b**2 - 2*b**4 + 5*b + 0*b**4 - 2*b**4 - 20*b**3 - 17*b = 0.
-3, -1, 0
Suppose -2*m + 0 = 2. Let u(i) = 4*i**2 - i - 1. Let w be u(m). Factor 8*t + t**3 - 3 - w*t**2 - 1 - t**2.
(t - 2)**2*(t - 1)
Let w be 24/7 + ((-15)/7)/5. Let x = 18 + -53/3. Factor -x*f**w + 1/3*f**2 + 0*f + 0.
-f**2*(f - 1)/3
Let n(o) = 12*o**5 - 9*o**4 + 18*o**3 - 12*o**2 - 9. Let a(i) = -i**5 - i**3 + i**2 + 1. Let w(z) = 9*a(z) + n(z). Find m, given that w(m) = 0.
0, 1
Let r = -6 - -24. Factor -r*f - 4 - 6 - 10*f**2 - 2*f**3 + 2*f + 2.
-2*(f + 1)*(f + 2)**2
Suppose 0 = -2*a + 6*a. Suppose 2*s - 10 = -3*s. Factor a - 2/9*v - 4/9*v**s.
-2*v*(2*v + 1)/9
Let -5*b**2 + 2 + 15*b**3 + 543*b + 5 - 5*b**4 - 558*b + 3 = 0. Calculate b.
-1, 1, 2
Let w be (4 - 5)/((-2)/4). Factor -m**2 + m - m**w + m.
-2*m*(m - 1)
Let w(n) be the second derivative of 0*n**4 - 1/147*n**7 + 0*n**5 + 0 + 0*n**3 + 0*n**2 + 3*n + 1/105*n**6. Factor w(k).
-2*k**4*(k - 1)/7
Let -3*v**3 - 8*v + 4*v + 8*v - v = 0. What is v?
-1, 0, 1
Let b(h) be the third derivative of -h**5/540 + h**4/216 - 14*h**2. Find i, given that b(i) = 0.
0, 1
Suppose 2*v + g + 5 = -2*g, 4*v - 4*g = 40. Suppose 3*y = 4*y - v. Determine t, given that 4/9*t**2 + 8/3*t**4 + 0 + 0*t + 10/9*t**y + 2*t**3 = 0.
-1, -2/5, 0
Let m = -131 - -201. Let t be m/(-4)*(-8)/10. Solve -4