 + 0 + 9/10*p**u + 2*p**2 - 3*p**3 - 1/3*p**4. Suppose w(t) = 0. Calculate t.
-1, 2/9, 1
Let q(z) = 8*z - 6. Let v be q(1). Factor -16/7 - 24/7*r - 12/7*r**v - 2/7*r**3.
-2*(r + 2)**3/7
Let f = 10 - 6. Determine m, given that 0*m**2 - 2*m**f + 0*m**3 - 2*m**5 + 2*m**2 + 2*m**3 = 0.
-1, 0, 1
Let k(w) be the second derivative of w**6/135 + w**5/15 + 13*w**4/54 + 4*w**3/9 + 4*w**2/9 - 3*w. Factor k(l).
2*(l + 1)**2*(l + 2)**2/9
Factor 4/5*f - 4/5*f**4 + 4/5*f**2 - 4/5*f**3 + 0.
-4*f*(f - 1)*(f + 1)**2/5
Determine k, given that -5/2*k + 3/2*k**2 - 1 = 0.
-1/3, 2
Let v(d) = -10*d**3 + 5*d**2 - 5. Let m(u) = 5*u**3 - 2*u**2 + 2. Let x(t) = 5*m(t) + 2*v(t). What is b in x(b) = 0?
0
Let t(s) = -s**3 + s - 1. Let w(z) = 5. Let x(u) = 5*t(u) + w(u). Factor x(o).
-5*o*(o - 1)*(o + 1)
Let p(k) be the second derivative of -k**6/120 + 9*k**5/80 - k**4/2 + 2*k**3/3 - 12*k. Factor p(t).
-t*(t - 4)**2*(t - 1)/4
Let q be 8/42*7*1/2. Let -2/3*f + q*f**2 + 0 = 0. Calculate f.
0, 1
Let t = 3/23 - -14/69. Let x(m) be the third derivative of 0*m**4 - 1/105*m**7 + 0 + m**2 + 1/15*m**5 - t*m**3 + 0*m + 0*m**6. Let x(g) = 0. What is g?
-1, 1
Let y(h) be the first derivative of 2*h**5 + 2 + 0*h - 7/2*h**4 + 0*h**2 + 4/3*h**3. Factor y(q).
2*q**2*(q - 1)*(5*q - 2)
Let w(n) be the second derivative of -n**7/49 + 4*n**6/35 - 3*n**5/14 + n**4/7 + 11*n. Factor w(o).
-6*o**2*(o - 2)*(o - 1)**2/7
Let b(u) be the first derivative of u**6/180 - u**5/15 + u**4/3 - 2*u**3/3 - 6. Let l(n) be the third derivative of b(n). Factor l(d).
2*(d - 2)**2
Solve -u**2 + 3 - 3*u - 3 + 3 - 5 = 0.
-2, -1
Let z(r) be the third derivative of 0*r**3 + 1/60*r**5 + 1/36*r**4 + 0*r + r**2 + 0 + 1/360*r**6. Factor z(t).
t*(t + 1)*(t + 2)/3
Let y be 4/(-22)*264/(-168). Determine n, given that -y*n**2 - 2/7*n + 0 = 0.
-1, 0
Suppose 5*r - 8 = 3*r. Solve 6*f**2 - 5*f**r - 5*f**3 + 3*f**5 + f**3 + f**3 - f**4 = 0.
-1, 0, 1, 2
Let j(h) = -h**3 + 6*h**2 - 4*h. Let q be j(3). Suppose -3*u + 1 + 9 = -s, -s = 2*u - q. Factor -2*p**2 + 4 + 4*p**2 + 2*p**u - 10*p - 8*p**4 + 2*p**2 + 8*p**3.
2*(p - 2)*(p - 1)**3*(p + 1)
Suppose -4*o + 28 = -a, 6*o + 4*a = 2*o + 8. Let f(s) = 2*s**2 - 4*s - 4. Let l(i) = 2*i**2 - 4*i - 3. Let u(n) = o*f(n) - 4*l(n). Find r such that u(r) = 0.
-1, 3
Let n(x) be the first derivative of 4*x**3/21 + 12*x**2/7 + 29. Solve n(y) = 0 for y.
-6, 0
Let s(c) = 8*c**2 - 17*c - 15. Let l(m) = 2 + 0 - 1. Let k(x) = -6*l(x) - s(x). Let d(r) = 2*r**2 - 4*r - 2. Let v(a) = -9*d(a) - 2*k(a). Factor v(q).
-2*q*(q - 1)
Let i(m) be the third derivative of -1/90*m**5 + 2*m**2 - 1/9*m**3 + 1/18*m**4 + 0 + 0*m. Factor i(d).
-2*(d - 1)**2/3
Let u(m) = 1 - 8*m - 3 + 6*m + m. Let x be u(-4). Suppose -8*s**x + 0 - 90/7*s**3 + 8*s**4 - 8/7*s + 14*s**5 = 0. What is s?
-1, -2/7, 0, 1
Let p(w) = w**3 - 5*w**2 + 4*w + 3. Let k be p(4). Solve 7*z**3 - 4*z**k + z - 3*z**3 - z**3 = 0.
-1, 0, 1
Let c(q) = q**2 - 10*q + 26. Let n be c(6). Let l(k) be the second derivative of -3/10*k**2 - 1/20*k**4 - 1/5*k**3 + 0 + n*k. Factor l(h).
-3*(h + 1)**2/5
Let d be 164/24 - (11 + -5). Solve 1/3 + 7/6*r + d*r**2 = 0 for r.
-1, -2/5
Let v(k) = k**2 - 1. Let q(p) = -p**2 - 18*p - 29. Let s(h) = -q(h) + 2*v(h). Find b such that s(b) = 0.
-3
Let o(t) = -t**2 + 6*t - 14. Let w(n) = n**2 - 7*n + 13. Let c(q) = 2*o(q) + 3*w(q). Let m be c(8). Factor 2/5*r**4 + 2/5*r**m + 0*r**2 + 0*r + 0.
2*r**3*(r + 1)/5
Let x(u) = -120*u**4 + 225*u**3 + 150*u**2 - 160*u - 90. Let t(o) = -o**4 + o**2 - o. Let z(v) = 5*t(v) + x(v). Find k such that z(k) = 0.
-3/5, 1, 2
Factor -12/7*p**4 - 3/7*p**5 - 3/7*p + 0 - 12/7*p**2 - 18/7*p**3.
-3*p*(p + 1)**4/7
Let c be (-4)/(-12)*3 + 2*1. Let n = 625/2 - 305. Factor -c + 21/2*w**2 - n*w.
3*(w - 1)*(7*w + 2)/2
Factor -24/5*b + 3/5*b**2 + 48/5.
3*(b - 4)**2/5
Let i = 2 + 0. What is h in h**2 + 0*h**2 - h + i*h + h + 1 = 0?
-1
Suppose -6*f + 60 - 18 = 0. Let q be (-4 - (-31)/7)*f. Factor 0*n**2 + 0*n**q + 0*n + 2/5*n**5 - 2/5*n**4 + 0.
2*n**4*(n - 1)/5
Let y be (150/(-40))/((-1)/(-28)). Let f be (-2)/(-7) + (-285)/y. Factor -1/2*k**f + 3/2*k**2 + 0 - k.
-k*(k - 2)*(k - 1)/2
Let q be ((-9)/(-3) + 6)*2/4. Let -3*m**3 + 3*m**2 + 9/2*m - q*m**4 + 3/2 - 3/2*m**5 = 0. What is m?
-1, 1
Suppose 3*m + 6 = -0*m. Let h be (-5)/(-25)*(-1 - m). Factor 0*l**3 - 1/5*l**2 + 0 + h*l**4 + 0*l.
l**2*(l - 1)*(l + 1)/5
Let v(i) = -i**2 + 19*i - 13. Let j(z) = 3*z**2 - 48*z + 33. Let m(h) = 5*j(h) + 12*v(h). What is o in m(o) = 0?
1, 3
Let n(y) = 2*y + 3. Let s be n(-3). Let v = s + 3. Factor 2*l**2 + v*l**2 + 2*l - 2*l.
2*l**2
Let j(y) = -2*y + 8. Let k be j(4). Suppose -t + 4*l - 20 = k, -t - 2*t + l = 5. Factor t + 4/3*s + 2/3*s**2.
2*s*(s + 2)/3
Suppose 0*h = 5*h - 10. Let i be -2 + h - (6 + -10). Factor -2/9 + 4/9*v**3 - 4/9*v + 0*v**2 + 2/9*v**i.
2*(v - 1)*(v + 1)**3/9
Suppose 0 - 3/2*r - 3/4*r**3 + 9/4*r**2 = 0. What is r?
0, 1, 2
Factor 31*s**3 - 36*s**3 - 15*s + 10*s**2 - 30*s**2.
-5*s*(s + 1)*(s + 3)
Let l(h) be the first derivative of -16*h**5/5 + 5*h**4 - 4*h**3/3 - 38. Find i, given that l(i) = 0.
0, 1/4, 1
Let s(j) be the second derivative of -j**5/4 + 5*j**4/12 + 12*j. Let s(l) = 0. What is l?
0, 1
Let u = 1/37 - -23/518. Let x(s) be the first derivative of 1 - 2/35*s**5 - u*s**4 + 1/7*s**2 + 0*s + 2/21*s**3. Determine q so that x(q) = 0.
-1, 0, 1
Factor 5/2*x**3 + 0*x + 5/2*x**2 + 0.
5*x**2*(x + 1)/2
Determine z, given that -9/5*z**4 - 3*z**5 + 0*z - 12/5*z**2 + 0 + 36/5*z**3 = 0.
-2, 0, 2/5, 1
Let b(x) = 2*x**2 + 3*x + 2. Let t be b(-2). Let f be (-10)/(-6) - t/(-12). Factor -8/5*u**f - 2/5*u**3 - 8/5*u + 0.
-2*u*(u + 2)**2/5
Let p(s) = -s - 2. Let q be p(-5). Determine r so that -q*r - 2*r**2 + r - 2*r = 0.
-2, 0
Suppose 11*a + 32 = 7*a. Let h be 2 - -1 - (-4)/a. Solve -5/2*g**4 + h*g**2 + 0 - g + g**3 = 0 for g.
-1, 0, 2/5, 1
Let v be (-8 + 3)*(-2)/5. Factor 5 - 12 + 2*p**v + 5.
2*(p - 1)*(p + 1)
Let v = -208 + 375. Let x = v - 1499/9. Determine p, given that -x*p + 2/9*p**2 + 2/9 = 0.
1
Let y(h) be the third derivative of -h**6/360 - h**5/180 + h**4/72 + h**3/18 + 2*h**2. Factor y(f).
-(f - 1)*(f + 1)**2/3
Let m(p) be the second derivative of 0 + 1/7*p**2 + 1/14*p**4 - 1/70*p**5 - 1/7*p**3 - 3*p. Factor m(u).
-2*(u - 1)**3/7
Solve 2/5 + 2/5*j**2 - 4/5*j = 0.
1
Let u(j) = -2*j - 11. Let w be u(-9). Let h be (34/357)/(3/w). Factor h*c**4 - 2/9 - 4/9*c**3 + 4/9*c + 0*c**2.
2*(c - 1)**3*(c + 1)/9
Suppose -3*t = 3 - 6. Let s be t/10*14/7. Let s*i**3 + 0 - 1/5*i - 1/5*i**4 + 1/5*i**2 = 0. Calculate i.
-1, 0, 1
Let l(a) be the third derivative of -a**8/560 - a**7/350 + a**6/100 + a**5/50 - a**4/40 - a**3/10 - 32*a**2. What is h in l(h) = 0?
-1, 1
Let l(f) = -3*f**2 - 2*f - 2. Let t(s) = -7*s**2 - 5*s - 5. Let w(i) = 10*l(i) - 4*t(i). Find k, given that w(k) = 0.
0
Suppose m + 11 - 155 = 0. Let b be m/28 + (-2)/14. Factor -2/9*k - 2/9*k**b + 4/9*k**3 + 2/9*k**4 - 4/9*k**2 + 2/9.
-2*(k - 1)**3*(k + 1)**2/9
Suppose 2*p + 3*r + 4 = 0, 0 = -7*p + 3*p - 5*r - 4. Factor -6*x**4 + 0*x**p - x + 3*x**2 + 5*x**4 + 3*x.
-x*(x - 2)*(x + 1)**2
Let w(h) be the first derivative of 0*h**2 + h - 6*h**2 - 13*h - 1 + h**3 - 2*h**3. Suppose w(b) = 0. What is b?
-2
Let l(c) be the third derivative of c**5/300 + c**4/30 + c**3/10 - 24*c**2. Factor l(h).
(h + 1)*(h + 3)/5
Let v(h) be the first derivative of -4/11*h + 3/11*h**2 + 16/33*h**3 + 3/22*h**4 + 8. Solve v(l) = 0.
-2, -1, 1/3
Let h(u) be the second derivative of u**4/4 - 2*u**3 + 6*u**2 + 4*u. Factor h(a).
3*(a - 2)**2
Let c be (-28)/6 + (-2)/(-6)*-1. Let k(b) = -2 - b**3 - 2*b**4 + 3 + 3*b**4. Let x(h) = -4*h**4 + 8*h**3 - 4*h - 5. Let g(o) = c*k(o) - x(o). Factor g(t).
-t*(t - 1)*(t + 2)**2
Let j be (4/(-25))/(8/(-40)). Factor 0 + 6/5*g**2 + j*g + 2/5*g**3.
2*g*(g + 1)*(g + 2)/5
Let h(k) = k**3 - 4*k**2 + k - 3. Suppose f - 2*f = -4. Let i be h(f). Let i - 2*a - a**3 + 2*a**2 + 3*a - 3*a**2 = 0. What is a?
-1, 1
Suppose 0 = 2*p + p - 12. Suppose 4*v = 2*k + p, -5*k = 4*v - 2*v - 2. Factor -2*w**2 + k*w**2 - 2*w**3 + 3*w**3 + w**4.
w**2*(w - 1)*(w + 2)
Let o(x) be the second derivative of x**6/1080 - x**5/180 - x**4/24 + 7*x**3/6 + 7*x. Let f(t) be the second derivative of o(t). Let f(w) = 0. Calculate w.
-1, 3
Let s(y) be the second derivative of y**5/30 - y**3/9 - 4*y. Suppose s(u