0.
-2, 1
Let 0 - 2/7*w**2 + 0*w + 6/7*w**3 = 0. Calculate w.
0, 1/3
Let d(w) be the third derivative of -3*w**2 + 0*w**3 - 1/20*w**6 - 1/15*w**5 + 0*w**4 + 0*w + 0 - 1/105*w**7. Factor d(v).
-2*v**2*(v + 1)*(v + 2)
Let f(d) be the first derivative of -1/420*d**6 + 0*d - 1/210*d**5 + 0*d**4 + 1/2*d**2 - 1 + 0*d**3. Let s(z) be the second derivative of f(z). Factor s(m).
-2*m**2*(m + 1)/7
Let w be 16/6*(-3)/(-4). Factor -2/5*h**w + 8/5*h - 8/5.
-2*(h - 2)**2/5
Let x(r) be the third derivative of -r**7/840 - r**6/180 + 2*r**3/3 + 6*r**2. Let q(y) be the first derivative of x(y). Find s such that q(s) = 0.
-2, 0
Let w = -10 + 4. Let t be ((-9)/6)/(w/8). Solve 3*u - 7/3*u**t - 2/3 = 0 for u.
2/7, 1
Suppose 3 = w + 2. Suppose 0 = 3*q + w - 13. Factor 0*x - 3/2*x**q - 2*x**3 + 0 - 1/2*x**2.
-x**2*(x + 1)*(3*x + 1)/2
Suppose 1 + 1 = r. Suppose 2*m = 0, -2*z + r*m = -5*z + 15. Factor -15/4*b**3 + 0*b - 9/4*b**4 + 0 - 3/4*b**2 + 27/4*b**z.
3*b**2*(b - 1)*(3*b + 1)**2/4
Suppose -4 = -4*j + j - 5*h, 10 = -3*j + 2*h. Let c be (j/(-4))/((-2)/(-8)). Factor 2*a**c - 6*a**4 - a**5 + 5*a**5 + 0*a**2.
2*a**2*(a - 1)**2*(2*a + 1)
Let o = 98/9 - 151/18. Suppose 8*y - o*y**4 + 1/2*y**2 + 2 + 25/2*y**5 - 41/2*y**3 = 0. What is y?
-1, -2/5, 1
Let m = -3/131 - -221/3930. Let u(o) be the second derivative of 4/5*o**2 - 2*o + 0 + 4/15*o**3 + m*o**4. Factor u(c).
2*(c + 2)**2/5
Let k(a) = -a**3 + 8*a**2 + 9*a + 2. Let s be k(9). Factor 36*w + 3 + 133*w**3 + 29*w**3 + 30*w**3 + 144*w**s.
3*(4*w + 1)**3
Let b be 15/10 - 6/(-4). Suppose 2*h = h - 3*u + 12, 0 = -h + u - 4. Determine g, given that 0 + 0*g**4 + h*g**2 + 4/5*g**b - 2/5*g - 2/5*g**5 = 0.
-1, 0, 1
Solve 2 - 7*x - x**2 - 2*x**2 + 7*x**2 + x**2 = 0.
2/5, 1
Let w = 1 - 14. Let m = -13 - w. Factor m*y**2 + 0 + 8/9*y - 2/3*y**3 - 2/9*y**4.
-2*y*(y - 1)*(y + 2)**2/9
Suppose -4*b - 7 = 21. Let i(p) = -p**2 - 6*p + 9. Let l be i(b). Factor -2/5*s + 0 - 4/5*s**l.
-2*s*(2*s + 1)/5
Let k(s) = -s**3 + s**2 - 1. Let b(r) = 2*r**3 + 12*r**2 + 2*r - 6. Let w = 11 - 12. Let h(m) = w*b(m) + 2*k(m). Factor h(i).
-2*(i + 1)*(i + 2)*(2*i - 1)
Let i(c) be the third derivative of -c**7/1155 - c**6/132 - c**5/55 + c**4/33 + 8*c**3/33 + 6*c**2. Factor i(h).
-2*(h - 1)*(h + 2)**3/11
Suppose -2 - 5/2*u**2 - 4*u - 1/2*u**3 = 0. Calculate u.
-2, -1
Let l(f) = 2*f**2 - 2*f + 2. Let m = 4 + -7. Let t be m/2*(-1 + 3). Let u(k) = -k**2 - 1. Let o(s) = t*u(s) - l(s). What is y in o(y) = 0?
-1
Suppose 0 = -0*w - 2*w. Suppose 5*j - j - 16 = w. Factor -8 + 18*s**j + 18*s**3 - 2*s**2 - 8*s**2 - 42*s**3 + 24*s.
2*(s - 1)*(s + 1)*(3*s - 2)**2
Let f(q) be the second derivative of q**7/147 + q**6/105 - q**5/70 - q**4/42 + 6*q. Let f(y) = 0. What is y?
-1, 0, 1
Let k be -1 - -3 - (9 + 1). Let n(w) = -w**2 - 8*w + 2. Let a be n(k). Let 1/2*x**a + x + 1/2 = 0. Calculate x.
-1
Let u(c) be the first derivative of -c**6/14 + 18*c**5/35 + 45*c**4/28 - 116*c**3/7 - 72*c**2/7 + 1728*c/7 - 44. Factor u(n).
-3*(n - 4)**3*(n + 3)**2/7
Suppose 0 = 2*c - 11 - 69. Let v be (c/28)/5 - 0. Factor 0*m - v*m**3 + 2/7*m**2 + 0.
-2*m**2*(m - 1)/7
Let b(l) be the second derivative of 0 + 0*l**4 - 1/3*l**3 + 1/40*l**5 - 3/2*l**2 + l - 1/240*l**6. Let j(f) be the first derivative of b(f). Factor j(d).
-(d - 2)**2*(d + 1)/2
Suppose 4*l = 4*j - 5*j + 4, -j = 5*l - 4. Solve 4/9*k**2 - 2/9*k - 2/9*k**3 + l = 0.
0, 1
Let p = 49 + -44. Let o(y) be the second derivative of 0 - 1/15*y**p + 0*y**2 + 1/63*y**7 + 0*y**4 + 1/9*y**3 + 0*y**6 - y. What is u in o(u) = 0?
-1, 0, 1
Let j(m) = m**3 - 6*m**2 + 2. Let a be j(6). Suppose 0*g - 3*g - 18 = -3*c, -9 = 3*g. Find l such that c*l**2 - 2*l**a - l + 2*l = 0.
-1, 0
Let j(q) = -3*q**2 - 2*q + 2. Let a be j(0). Find v such that -4/5 - 2/5*v**a - 6/5*v = 0.
-2, -1
Suppose 3*t - 4*p = -539, 3*p = t + 2*p + 178. Let m = t - -1235/7. Solve 16/7 - m*i + 12/7*i**2 - 2/7*i**3 = 0.
2
Let s(n) be the first derivative of 4/9*n**3 - 3 + 1/3*n**2 + 0*n. Let s(w) = 0. Calculate w.
-1/2, 0
Let f(q) be the first derivative of 0*q + 1/180*q**6 + 0*q**5 + q**2 + 0*q**3 + 0*q**4 - 2. Let p(d) be the second derivative of f(d). Factor p(i).
2*i**3/3
Let b(i) be the second derivative of 0*i**2 + 1/6*i**3 - 1/120*i**6 + 0 - 2*i - 1/80*i**5 + 1/12*i**4. Suppose b(u) = 0. What is u?
-2, -1, 0, 2
Let n(z) = 9*z**2 + 15*z + 3. Let y(s) = s**3 - 17*s**2 - 31*s - 7. Let f(b) = -7*n(b) - 3*y(b). Suppose f(p) = 0. Calculate p.
-2, 0
Let v = -3 + 6. Determine h so that -10/7*h**v + 0 + 2*h**2 - 4/7*h = 0.
0, 2/5, 1
Let o(v) be the second derivative of -v**5/5 + 2*v**3/3 - 3*v. Factor o(t).
-4*t*(t - 1)*(t + 1)
Let q(b) = b**3 - 1. Let r(w) = 9*w**5 - 24*w**4 + 36*w**3 - 6*w**2 - 15. Let g(x) = 15*q(x) - r(x). What is k in g(k) = 0?
0, 2/3, 1
Let d(q) = -q**3 - 9*q**2 + 10*q. Let c be d(-10). Determine m so that m**2 - 2 + m**4 + c*m**4 - 3*m**3 - 17*m + 20*m = 0.
-1, 1, 2
Let z(l) be the third derivative of l**8/6720 - l**7/1260 - l**6/720 + l**5/60 - l**4/6 - 4*l**2. Let x(o) be the second derivative of z(o). Factor x(c).
(c - 2)*(c - 1)*(c + 1)
Let p(c) = -c**2 + 1. Let q(y) = -6*y**2 + 6*y - 4. Let o(l) = -5*p(l) + q(l). Solve o(n) = 0.
3
Let g = -1028/77 + 150/11. Factor g*k + 0 - 2/7*k**2.
-2*k*(k - 1)/7
Let g = 7/18 - 1/18. Let j(t) be the first derivative of 2/3*t**2 - 1/3*t - 2/3*t**3 - 1/15*t**5 + g*t**4 - 1. Solve j(d) = 0 for d.
1
Suppose -25 = q - 134. Let m = 769/7 - q. Let 2/7*h - 10/7*h**3 + m*h**4 - 6/7*h**2 + 0 + 8/7*h**5 = 0. What is h?
-1, 0, 1/4, 1
Let q(d) = -5*d**3 - 3*d**2 + 5*d - 5. Let k(h) = 2*h**3 + h**2 - 2*h + 2. Let g(b) = 8*k(b) + 3*q(b). Factor g(u).
(u - 1)**2*(u + 1)
Let j(v) be the first derivative of -3*v**5/5 + 3*v**4/2 - v**3 + 11. Let j(h) = 0. What is h?
0, 1
Let r(d) = d + 1. Let m(h) = h**2 + 8*h + 7. Let q(p) = m(p) - 4*r(p). Let q(u) = 0. What is u?
-3, -1
Let a(p) = -p. Let m(q) = q**2 - 6*q - 1. Let y = -19 + 3. Let c be y/(-2) + (-4)/2. Let g(f) = c*a(f) - m(f). Solve g(u) = 0 for u.
-1, 1
What is m in -2202*m**3 - 16*m**2 + 5 + 2200*m**3 + 2*m - 4 + 15*m**4 = 0?
-1, -1/5, 1/3, 1
Let l(o) be the third derivative of 3*o**2 + 1/30*o**3 - 1/840*o**8 - 1/150*o**5 - 1/60*o**4 + 0*o + 0 + 1/150*o**6 + 1/1050*o**7. Find w such that l(w) = 0.
-1, 1/2, 1
Let p(r) = r**3 - 2*r**2 - 3. Let w be p(3). Suppose 5*t + j = 11, -w - 5 = -4*t - 3*j. Let 2*v**2 + t*v**3 - 5*v**2 + v**2 = 0. Calculate v.
0, 1
Let f(h) = 9*h**3 - 5*h**2 - 19*h + 7. Let w(g) = -3*g**3 + 2*g**2 + 6*g - 2. Let s be (8/10)/(3/(-15)). Let j(l) = s*f(l) - 14*w(l). What is i in j(i) = 0?
-2/3, 0, 2
Let f(j) = -4*j**2 - 9*j + 1. Suppose 2*y - 3*y = -4. Suppose 0 = -9*q + y*q + 5. Let i(l) = l**2 + l. Let c(d) = q*f(d) + 6*i(d). Factor c(t).
(t - 1)*(2*t - 1)
Let d(i) be the second derivative of i**7/126 - i**6/36 + i**5/30 - i**4/72 - 30*i. Factor d(l).
l**2*(l - 1)**2*(2*l - 1)/6
Let m(o) be the third derivative of 1/45*o**6 + 0*o + 0*o**5 + 0*o**4 - o**2 + 0*o**3 + 0 + 4/315*o**7 - 5/168*o**8. Determine r, given that m(r) = 0.
-2/5, 0, 2/3
Let s(j) = j**3 + 13*j**2 - 11*j + 42. Let t be s(-14). Let y = -4 + 6. Determine d, given that t - 1/4*d**y + 1/4*d = 0.
0, 1
Let m = 12 + -10. Factor 5 - 10*k + 4*k**m + 3 - 2*k.
4*(k - 2)*(k - 1)
Let u(x) be the third derivative of x**5/150 + x**4/15 + 17*x**2. Factor u(p).
2*p*(p + 4)/5
Let m = -1 - -7. Let g(u) be the third derivative of 0 + 1/420*u**m + 3*u**2 + 0*u**3 - 1/42*u**4 - 1/210*u**5 + 0*u. Let g(l) = 0. Calculate l.
-1, 0, 2
Suppose -2/5*n**4 + 2/5*n**3 - 2/5*n + 2/5*n**2 + 0 = 0. What is n?
-1, 0, 1
Let w be (-1)/(1*(-1)/2). Suppose 3*p + 2*n = 12, -2*p + 17 = w*p + 3*n. Find a such that 1/4 + 0*a - 1/4*a**p = 0.
-1, 1
Suppose 5*r - 30 = 4*f, -2*r + 19 = -0*r - 3*f. Factor -3*h**r + 3*h - 3*h**2 + 5*h**2 - 2*h**2.
-3*h*(h - 1)
Factor 2/3*r**2 + 24*r + 216.
2*(r + 18)**2/3
Let b(g) be the third derivative of -1/90*g**7 - 4*g**2 + 0*g - 2/9*g**3 - 5/1008*g**8 + 0 - 1/9*g**4 + 13/360*g**6 + 11/180*g**5. Suppose b(m) = 0. What is m?
-2, -1, -2/5, 1
Let b = 31 + -31. Let l(y) be the second derivative of 0 + 1/54*y**4 + 0*y**2 + y + b*y**3. Let l(h) = 0. Calculate h.
0
Let g(z) be the third derivative of -z**8/84 - z**7/15 - 3*z**6/20 - z**5/6 - z**4/12 + 8*z**2. Suppose g(o) = 0. What is o?
-1, -1/2, 0
Let w be (2/6)