, 1
Suppose -5*u - 3*l + 25 = 0, 0 = -u + 5*u + 4*l - 28. Let 0*i**2 + u*i**2 - 4*i**2 + 2*i**3 = 0. What is i?
0, 1
Let d be (1 - 1)/(4/8*6). Let p(i) be the third derivative of 2*i**2 + 0 + 0*i - 1/36*i**4 + d*i**3 + 1/180*i**5. Factor p(z).
z*(z - 2)/3
Factor -3521*c - 8*c**2 + 3521*c - 44*c**3 - 36*c**4.
-4*c**2*(c + 1)*(9*c + 2)
Let m(n) = 3*n**5 + 8*n**4 + 5*n**2 + 5*n - 5. Let k(h) = -h**4 + 1 + 27*h**2 - h - 28*h**2 + 0*h. Let c(z) = 5*k(z) + m(z). Let c(a) = 0. Calculate a.
-1, 0
Let q(p) be the first derivative of p**6/27 - 2*p**5/15 + p**4/6 - 2*p**3/27 - 11. Determine x so that q(x) = 0.
0, 1
Let u(k) be the first derivative of 0*k + 3 + 2/3*k**3 - k**2. Factor u(y).
2*y*(y - 1)
Let f(t) be the second derivative of t**6/135 - t**5/90 - t**4/54 + t**3/27 + 35*t. Factor f(v).
2*v*(v - 1)**2*(v + 1)/9
Let h be (10/(-12))/(-3 + (-84)/(-48)). Let s be 3/(-15) - 26/(-30). What is c in 0 + 4/3*c**3 + h*c**2 + 0*c + s*c**4 = 0?
-1, 0
Suppose c = 3*c + 8. Let x(h) = 5*h**4 + 2*h**3 + h**2 + 4*h. Let p(n) = -6*n**4 - 2*n**3 - n**2 - 5*n. Let y(a) = c*p(a) - 5*x(a). Factor y(k).
-k**2*(k + 1)**2
Factor -5/2 - 1/2*c**3 - 3/2*c**2 + 9/2*c.
-(c - 1)**2*(c + 5)/2
Let n(b) be the first derivative of -b**7/630 - b**6/360 + b**2 - 3. Let l(g) be the second derivative of n(g). Suppose l(s) = 0. Calculate s.
-1, 0
Let m(g) be the second derivative of 7*g**5/10 - 20*g**4/3 - 61*g**3/3 - 14*g**2 - 2*g + 2. Factor m(v).
2*(v - 7)*(v + 1)*(7*v + 2)
Suppose 6*k - 5*k = 7. Let h = k - 5. Factor h*r + 2 + 1/2*r**2.
(r + 2)**2/2
Suppose 0*d - 12 = -3*d. Suppose -3*c**2 + d*c - 1 - 3*c - 4*c - c**3 = 0. Calculate c.
-1
Suppose 0 = 4*r - 0*r - 44. Suppose -r = -3*f - 2. Determine i, given that -2 + 3 + 2*i**2 - 2*i**3 + 2*i - f = 0.
-1, 1
Let z(q) = 2*q + 1. Suppose 0 = m - 4, -4*w = -m - 4*m + 12. Let h be z(w). Let -a**h + a**3 - a**4 + 2*a**2 - 2*a**2 + a**2 = 0. Calculate a.
-1, 0, 1
Let b(y) be the second derivative of -y**7/112 + y**6/16 - 27*y**5/160 + 7*y**4/32 - y**3/8 + 3*y. Factor b(t).
-3*t*(t - 2)*(t - 1)**3/8
Let z(k) be the second derivative of 1/9*k**3 + 0 - k + 0*k**2 - 1/18*k**4. Suppose z(b) = 0. What is b?
0, 1
Suppose -24*c**4 - 169*c**3 + 307*c**3 - 186*c**3 - 4*c**5 - 12*c - 40*c**2 = 0. What is c?
-3, -1, 0
Let q(r) be the second derivative of 3*r**5/20 + r**4/2 - 2*r**3 - 12*r**2 + 37*r. Solve q(x) = 0.
-2, 2
Find w such that 0 - 110/7*w**3 - 24/7*w - 16*w**2 + 50/7*w**4 = 0.
-2/5, 0, 3
Factor -8 - 11*c**3 + 0 + 10 - 21*c + 24*c**2 + 6*c.
-(c - 1)**2*(11*c - 2)
Let i(v) = 2*v**2 - 4*v - 1. Suppose 10 - 2 = r + 2*a, -3*a = -15. Let d(c) = -c**2 - 1. Let k(t) = r*i(t) - 6*d(t). Solve k(l) = 0.
-2
Let q = -157484993/420 + 374964. Let g = -2/105 - q. Factor -g*y**2 - 1 + y.
-(y - 2)**2/4
Suppose 0 = 22*z - 27*z + 10. Factor -8*p**3 - 20/3*p**4 - 4*p**z - 2*p**5 + 0 - 2/3*p.
-2*p*(p + 1)**3*(3*p + 1)/3
Let n(t) be the third derivative of 4*t**7/105 - t**6/12 - t**5/10 + 5*t**4/12 - t**3/3 - 18*t**2. Factor n(k).
2*(k - 1)**2*(k + 1)*(4*k - 1)
Suppose 0*f - 6 = -f. Let g = f + -5. Let 4*y - 1 + g - 2*y**2 + 0 = 0. Calculate y.
0, 2
Let p(a) be the first derivative of -a**4/4 + 4*a**3/3 - 5*a**2/2 + 2*a + 2. Factor p(l).
-(l - 2)*(l - 1)**2
Let n be 7 - -22*(-12)/40. Factor 0 + n*m**2 - 4/5*m.
2*m*(m - 2)/5
Let n(d) = d**4 - d**3 - d. Let h(f) = f**4 + 3*f**3 - 3*f**2 + f. Suppose 2*y + 2 + 0 = 0. Let j(r) = y*h(r) - 2*n(r). Solve j(v) = 0 for v.
-1, -1/3, 0, 1
Suppose -28*y = -24*y - 8. Let g(w) be the third derivative of -1/50*w**5 + 0*w + 1/60*w**4 + 0*w**3 - w**y + 0. Factor g(l).
-2*l*(3*l - 1)/5
Let k = -2/535 + 323/535. Factor k*f**2 - 6/5 - 3/5*f.
3*(f - 2)*(f + 1)/5
Let z = -1/457 + 3659/1371. Factor -8/3*o**3 + z*o**4 + 0*o**2 + 0*o - 2/3*o**5 + 0.
-2*o**3*(o - 2)**2/3
Let k be -5 + 11*(-1)/(-2). Factor k*d**3 - 2*d - 2*d**2 + 0 + 1/2*d**4.
d*(d - 2)*(d + 1)*(d + 2)/2
Let h(z) be the second derivative of -z**4/34 - 2*z**3/51 + z. Let h(a) = 0. What is a?
-2/3, 0
Let l = 11 - 8. Let c(f) be the second derivative of 2/3*f**l + f - f**2 - 1/6*f**4 + 0. Find s such that c(s) = 0.
1
Let u(f) = -52*f**3 - 129*f**2 - 57*f - 8. Let x(h) = -h**3 - h**2 + h. Let s = 16 + -10. Let i(z) = s*x(z) - 2*u(z). Find n, given that i(n) = 0.
-2, -2/7
Let s be ((-1)/(-4))/((-224)/(-256)). What is z in 4/7*z**2 + 1/7*z**3 + 5/7*z + s = 0?
-2, -1
Let w(h) be the third derivative of h**6/30 + h**5/15 - h**4/6 - 2*h**3/3 + 2*h**2. Let l(z) = -z**3 - z**2 + z + 1. Let i(f) = -14*l(f) - 4*w(f). Factor i(y).
-2*(y - 1)*(y + 1)**2
Let o(h) be the first derivative of h**4/8 + 3*h**3/2 + 27*h**2/4 - 3*h + 1. Let f(p) be the first derivative of o(p). Factor f(w).
3*(w + 3)**2/2
Let v(g) be the first derivative of 4/3*g**3 + 2 - 1/2*g**2 + 0*g. What is f in v(f) = 0?
0, 1/4
Let r(i) = -2*i - 26. Let j be r(-13). Factor -1/4*m + 1/4*m**3 + 0*m**2 + j.
m*(m - 1)*(m + 1)/4
Let x(l) be the third derivative of l**8/2016 + l**7/1260 - l**6/720 - l**5/360 - 2*l**2. Factor x(m).
m**2*(m - 1)*(m + 1)**2/6
Let d = -6 - -25. Suppose -3*z + 15 = -3*x, -x - x = -5*z + d. Determine h, given that 2*h**2 - 2*h**3 - 2 + h**3 + z*h**3 - 2*h = 0.
-1, 1
Let a(h) be the second derivative of -h**4/3 + 5*h. Factor a(w).
-4*w**2
Let n(h) = 20*h**3 + 55*h**2 + 30*h + 5. Let s(i) = -i**4 - 20*i**3 - 55*i**2 - 30*i - 6. Let d(m) = 6*n(m) + 5*s(m). Factor d(x).
-5*x*(x - 6)*(x + 1)**2
Let l(w) = w**2 - 1. Let j(m) = m + 1. Let y(b) = 4*j(b) + 2*l(b). Factor y(x).
2*(x + 1)**2
Let x(l) be the first derivative of -1 + 0*l**2 + 1/15*l**5 - 1/9*l**3 - 1/12*l**4 + 0*l + 1/18*l**6. Factor x(q).
q**2*(q - 1)*(q + 1)**2/3
Let m = -20 + 481/24. Let t(s) be the third derivative of 1/120*s**6 + 0*s**3 + 1/60*s**5 - 1/210*s**7 + 0 + 0*s + 2*s**2 - m*s**4. Factor t(i).
-i*(i - 1)**2*(i + 1)
Let z be (-7 - 0)*12/(-42). Suppose -4*u - s + 13 = 0, u - 7 = z*s - 3*s. Determine o, given that -2/3 + 4/3*o - 2/3*o**u = 0.
1
Let r(d) be the second derivative of d**5/50 + 7*d**4/30 + d**3 + 9*d**2/5 - 2*d. Suppose r(v) = 0. What is v?
-3, -1
Factor -2*a - 4*a**2 + 2*a + 16*a**2 - 3*a**4.
-3*a**2*(a - 2)*(a + 2)
Let a = -3946234751/1170 - -3372850. Let w = 1/130 - a. Factor -4/9 - 2/9*n + w*n**2.
2*(n - 2)*(n + 1)/9
Let n(w) be the second derivative of 1/2*w**2 - 1/12*w**4 - w - 1/6*w**3 + 0 + 1/20*w**5. Factor n(q).
(q - 1)**2*(q + 1)
Let a be -3 - (-8 - (-2 + 2)). Let u(k) = -7*k**2 + 4*k + 1. Let i(f) = f**2 + 1. Let h(j) = a*i(j) + u(j). Solve h(g) = 0 for g.
-1, 3
Let k = -12/25 + 61/75. Let y(t) be the second derivative of 0*t**2 + 1/21*t**7 + 0 - k*t**3 - 2/15*t**6 + 1/3*t**4 + 0*t**5 + 2*t. Let y(a) = 0. What is a?
-1, 0, 1
Let r be (-2)/(-9) - 241/(-9). Let y = r + -24. Factor 6/5*z**y + 2/5*z**2 - 4/5 - 6/5*z + 2/5*z**4.
2*(z - 1)*(z + 1)**2*(z + 2)/5
Let c = -1729/5 + 347. Factor -2/5*q**2 - 4/5 + c*q.
-2*(q - 2)*(q - 1)/5
Let l(g) be the third derivative of -1/9*g**3 + 1/360*g**6 + 0 + g**2 + 0*g - 1/72*g**4 + 1/90*g**5. Factor l(a).
(a - 1)*(a + 1)*(a + 2)/3
Let l(j) be the first derivative of 2*j**3/15 - 3*j**2/5 - 10. Factor l(q).
2*q*(q - 3)/5
Factor -4/5*z**2 + 2/5*z**5 - 6/5*z**3 + 0*z**4 + 0 + 0*z.
2*z**2*(z - 2)*(z + 1)**2/5
Suppose -3*t = -4*v + t + 480, 600 = 5*v - 4*t. Let p = v - 598/5. Factor 8/5*z**3 - 8/5*z - p*z**2 + 2/5.
2*(z - 1)*(z + 1)*(4*z - 1)/5
Let t = -71 - -75. Let l(w) be the third derivative of 1/60*w**6 + 0*w**5 + 0*w - 2/3*w**3 - 1/4*w**t + 0 + 2*w**2. Factor l(a).
2*(a - 2)*(a + 1)**2
Let i(q) be the second derivative of q**6/75 + 3*q**5/25 + 13*q**4/30 + 4*q**3/5 + 4*q**2/5 - 9*q. Factor i(x).
2*(x + 1)**2*(x + 2)**2/5
Suppose -2*l - 9 = -3*j, 4*l = 2*j - 2 - 4. Factor 2*q**5 + 2*q**4 + 0*q**5 - j*q**4 - 3*q**5.
-q**4*(q + 1)
Let s(b) be the first derivative of -b**8/3360 - b**7/840 + b**5/120 + b**4/48 - 2*b**3/3 - 2. Let p(g) be the third derivative of s(g). Factor p(k).
-(k - 1)*(k + 1)**3/2
Let r(l) be the first derivative of 0*l - 5 + 0*l**2 - l**3 + 3/4*l**4. What is v in r(v) = 0?
0, 1
Let s = -21 - -24. Let c(m) be the third derivative of -1/60*m**5 + m**2 + 0*m - 1/12*m**4 + 0*m**s + 1/40*m**6 + 0. What is x in c(x) = 0?
-2/3, 0, 1
Suppose -17*q - 75 = -14*q. Let d = 28 + q. Determine k so that -2/5*k**2 + 0*k + 2/5*k**4 - 2/5*k**d + 2/5*k**5 + 0 = 0.
-1, 0, 1