1, 0
Let t = -14 + 43/3. Factor 0 - t*z**2 + 1/3*z**4 - 1/3*z**5 + 0*z + 1/3*z**3.
-z**2*(z - 1)**2*(z + 1)/3
Suppose 2*f - 1 = 1. Let g(u) = u**2 - u + 1. Let w(i) = -8*i**2 + 12*i - 6. Let l(y) = f*w(y) + 6*g(y). Solve l(m) = 0 for m.
0, 3
Let w(s) be the second derivative of 0 - 4/5*s**2 + 1/25*s**5 - 4/15*s**4 - 9*s + 2/3*s**3. Let w(j) = 0. Calculate j.
1, 2
Let y(g) be the third derivative of -2*g**2 + 1/32*g**4 + 0*g - 1/240*g**6 + 1/280*g**7 - 1/120*g**5 - 1/1344*g**8 - 1/24*g**3 + 0. Factor y(s).
-(s - 1)**4*(s + 1)/4
Let j(x) = -13*x**4 - 7*x**3. Let c(s) = 0*s**3 + 0*s**3 + 3*s**3 + 7*s**4 + s**3. Let n(q) = -5*c(q) - 3*j(q). Factor n(f).
f**3*(4*f + 1)
Let 0*s**2 + 4*s + s**2 + 9*s**2 - 8 - 4*s**3 - 2*s**2 = 0. What is s?
-1, 1, 2
Suppose 0 = 4*n + n + 5. Let j = 3 - n. Factor 230/7*z**3 - 250/7*z**5 - 200/7*z**j + 76/7*z**2 + 16/7 - 88/7*z.
-2*(z + 1)**2*(5*z - 2)**3/7
Let r(f) = f + 5. Let x be r(-2). Let j(c) = c**2 - c + 3. Let z be j(0). Find l such that -l**z - 4*l**x - 4*l**2 + 7*l**2 - 3*l**4 + 4*l**5 + l = 0.
-1, -1/4, 0, 1
Factor 6*v**2 + 4*v**3 - v + 7*v + 16 - 14 - 2*v**3.
2*(v + 1)**3
Let s(r) = -7*r**4 + 15*r**3 - 7*r**2 - 9*r + 5. Let z(j) = -6*j**4 + 14*j**3 - 6*j**2 - 10*j + 6. Let k(q) = 2*s(q) - 3*z(q). Suppose k(w) = 0. Calculate w.
-1, 1, 2
Let n(l) = -l**2 + l. Let s(j) = 2*j**2 + 4*j. Let f(p) = p**2. Let c(r) = 4*f(r) - s(r). Let v(k) = -c(k) - 3*n(k). Factor v(w).
w*(w + 1)
Let d(m) = -2*m - 21. Let y be d(-13). Let k(g) be the first derivative of 1/10*g**4 + 1/15*g**3 + 0*g + 0*g**2 + 1 + 1/25*g**y. Factor k(s).
s**2*(s + 1)**2/5
Let c = 89717/420 + -1068/5. Let t(v) be the third derivative of 1/420*v**6 + 0*v - 1/210*v**5 + 0 - v**2 + 1/21*v**3 - c*v**4. What is i in t(i) = 0?
-1, 1
Let w(x) be the third derivative of -x**6/280 + 3*x**5/35 - 6*x**4/7 + 32*x**3/7 - 39*x**2. Factor w(d).
-3*(d - 4)**3/7
Let l(s) be the first derivative of 3*s**5/5 - 9*s**4/4 - 2*s**3 + 18*s**2 - 24*s + 31. Let l(c) = 0. What is c?
-2, 1, 2
Let -75 + 15*m - 3/4*m**2 = 0. Calculate m.
10
Let y(m) be the second derivative of 1/21*m**7 + 0*m**4 + 0*m**2 + 1/15*m**6 + m + 0*m**5 + 0*m**3 + 0. What is p in y(p) = 0?
-1, 0
Determine l so that 0 + 39/7*l**2 - 15/7*l**3 - 3*l - 3/7*l**4 = 0.
-7, 0, 1
Let b(j) = -j**2. Let a(q) be the third derivative of q**7/105 - q**6/60 + q**5/10 + 4*q**2. Let h(p) = -a(p) - 6*b(p). Factor h(f).
-2*f**3*(f - 1)
Let m(s) be the first derivative of s**6 + 14*s**5/5 + s**4 - 4*s**3 - 5*s**2 - 2*s - 8. Factor m(a).
2*(a - 1)*(a + 1)**3*(3*a + 1)
Let d = 5/87 - -8/29. Let 0 + d*h**3 + 1/3*h**4 - 1/3*h**2 - 1/3*h = 0. Calculate h.
-1, 0, 1
Factor 2/15 - 2/5*l**2 - 4/15*l.
-2*(l + 1)*(3*l - 1)/15
Factor 6 - 4*s - 4*s + 1 + 4*s**2 - 3.
4*(s - 1)**2
Let i(h) be the first derivative of 3*h**4/8 - 3*h**3/2 + 9*h**2/4 - 3*h/2 + 30. Factor i(w).
3*(w - 1)**3/2
Suppose 0 = -3*f - 12, o + 4*f = -12. Let y(q) be the second derivative of 0*q**3 + q**2 + 0 - 1/6*q**o - q. Factor y(d).
-2*(d - 1)*(d + 1)
Let h(w) = -w**3 + 8*w**2 - 8*w + 11. Let s be h(7). Let u be 2/10 + s + -4. Factor 3/5*k**2 + 0*k - u - 2/5*k**3.
-(k - 1)**2*(2*k + 1)/5
Let t(z) = -z**2 + 8*z + 2. Let b be t(8). Suppose 10 = 5*g + 3*h, b*g - 2*h - 2*h = 4. Factor -4*n**2 + n**3 + 3*n**g + 1 - 1.
n**2*(n - 1)
Let t(w) be the third derivative of -1/84*w**5 - 5*w**2 + 0*w + 0 - 1/24*w**4 - 1/14*w**3 - 1/840*w**6. Factor t(h).
-(h + 1)**2*(h + 3)/7
Let b(a) be the second derivative of a**6/60 + a**5/15 + 7*a**4/72 + a**3/18 + 4*a. Factor b(y).
y*(y + 1)**2*(3*y + 2)/6
Let c(t) be the second derivative of -t**5/5 - t**4/3 - 10*t. Factor c(l).
-4*l**2*(l + 1)
Let u be 9/(-15) - (-1 + 4/10). Solve -2/3*h**4 + 0 + u*h**3 + 0*h + 0*h**2 = 0 for h.
0
Let l be 2/8 + (-7)/(-4). Suppose 0 = l*k + k - 15. Suppose -4*r**3 + 4*r**2 - 2*r**4 - 2*r**k - 2 + 4*r**3 - 2*r + 4*r**3 = 0. What is r?
-1, 1
Let q(u) be the second derivative of -u**5/50 - u**4/30 + u**3/15 + u**2/5 + 5*u. Solve q(w) = 0 for w.
-1, 1
Let z(f) = -f**5 - f**3 - f**2 + f. Let p(l) = 4*l**5 - 5*l**4 + 10*l**3 + 4*l**2 - 11*l + 4. Let j(g) = 4*p(g) + 12*z(g). Suppose j(q) = 0. What is q?
-1, 1, 2
Let l = -12/119 - 8/17. Let i = l - -15/14. Factor -1/4 - i*a**3 - 1/4*a**4 + 1/2*a**2 + 1/4*a + 1/4*a**5.
(a - 1)**3*(a + 1)**2/4
Let s(h) = -h**2. Let t(b) = -9*b**2 - 12*b + 16. Let m(n) = -5*s(n) + t(n). Solve m(a) = 0.
-4, 1
Suppose 5*z = -5*w - 5 - 0, 4*w - 2 = -2*z. Suppose 0 = 5*t - 14 + 4. Factor 0*l**2 + 0*l**t + 2*l**w.
2*l**2
Let x be ((-3)/(-18))/(2/6). Let p be (2 + (-18)/8)/1*-1. Find y, given that -p*y**2 + x*y - 1/4 = 0.
1
Let y be 3/(-2) - (-146)/4. Let i be (-10)/84 - (-10)/y. Factor -5/6*k**2 + 4/3*k - 2/3 + i*k**3.
(k - 2)**2*(k - 1)/6
Let o = -4/97 + 169/1746. Let x(q) be the first derivative of 0*q**2 + o*q**6 - 1 + 0*q + 1/4*q**4 + 1/9*q**3 + 1/5*q**5. Factor x(h).
h**2*(h + 1)**3/3
Let r(c) be the third derivative of c**6/720 - c**5/120 + c**4/72 - 9*c**2. Factor r(b).
b*(b - 2)*(b - 1)/6
Let d(q) be the first derivative of 2 - q**3 - 3/5*q**5 + 0*q**2 + 0*q + 3/2*q**4. Factor d(i).
-3*i**2*(i - 1)**2
Let f(j) = -12*j**4 + 40*j**3 - 36*j**2 - 56*j + 48. Let s(o) = 4*o**4 - 13*o**3 + 12*o**2 + 19*o - 16. Let k(d) = 3*f(d) + 8*s(d). Factor k(r).
-4*(r - 2)**2*(r - 1)*(r + 1)
Suppose 3*i = 20 - 5. Factor 2*m**3 - 9*m**i + 3*m**5 + 4*m**5.
-2*m**3*(m - 1)*(m + 1)
What is d in -8*d**2 + 9 - 1/2*d**5 + 15/2*d + 3*d**4 - 3*d**3 = 0?
-1, 2, 3
Let z(n) be the first derivative of -n**5/20 - n**4/4 - 5*n**3/12 - n**2/4 + 19. Solve z(k) = 0.
-2, -1, 0
Factor -4*z**3 + 27*z - 63*z - 10 - 6 - 24*z**2.
-4*(z + 1)**2*(z + 4)
Let m(j) = -j**2 + j + 1. Let w(h) = -7*h**2 - 11*h - 3. Let s be ((-6)/(-18))/(2/(-6)). Let n(c) = s*w(c) - m(c). Factor n(v).
2*(v + 1)*(4*v + 1)
Suppose -3*i = -8*i - 210. Let f be 24/i*(-14)/20. Let 0*m + 0 - 4/5*m**2 + f*m**3 = 0. What is m?
0, 2
Let -3*j + 4*j**2 - 7*j**2 - 3 - 3*j = 0. Calculate j.
-1
Let g be -1*244/(-240) - 1. Let q(a) be the third derivative of 0*a**6 - 1/840*a**8 + 0 + 0*a + g*a**4 + 1/75*a**5 - a**2 - 2/525*a**7 + 0*a**3. Factor q(o).
-2*o*(o - 1)*(o + 1)**3/5
Let r(k) be the third derivative of -k**7/10080 + k**5/480 + 5*k**4/24 + 3*k**2. Let n(p) be the second derivative of r(p). Factor n(b).
-(b - 1)*(b + 1)/4
Suppose 3*u - 17 = -8. Suppose u = -2*p + 7. Factor -1/2*x**2 + p*x - 2.
-(x - 2)**2/2
Factor 0 - 4/5*j + 1/5*j**2.
j*(j - 4)/5
Let w(g) be the first derivative of 0*g**3 + 0*g - 2 + 0*g**5 - 1/10*g**2 + 1/10*g**4 - 1/30*g**6. What is b in w(b) = 0?
-1, 0, 1
Let q = 8 + -5. Factor -6*u**2 + u**4 - 3*u**q + u**3 + 2 + 3*u**4 + 2*u.
2*(u - 1)**2*(u + 1)*(2*u + 1)
Let o(a) = -99*a**3 + a - 1. Let l be o(1). Let z = -689/7 - l. Factor -2/7 - 2/7*s**2 + z*s.
-2*(s - 1)**2/7
Let a be 1 + -1 - 6/(-27). Let l(w) be the first derivative of a*w**3 + 1/3*w**2 - 2/3*w - 1 - 1/6*w**4. Factor l(u).
-2*(u - 1)**2*(u + 1)/3
Factor 0*s + 16/11 + 0*s**3 + 1/11*s**4 - 8/11*s**2.
(s - 2)**2*(s + 2)**2/11
Let m(i) be the third derivative of 0*i + 1/30*i**5 + 0 + 0*i**3 + 1/12*i**4 + 2*i**2. Factor m(n).
2*n*(n + 1)
Suppose 2/13*n**2 + 0 + 2/13*n = 0. What is n?
-1, 0
Determine i, given that -1/2 - 7/4*i - 5/4*i**3 - 1/4*i**4 - 9/4*i**2 = 0.
-2, -1
Let x be (7 + (-78)/18)/4. Suppose 0*z - x*z**2 + 0 - 4/3*z**4 - 1/3*z**5 - 5/3*z**3 = 0. Calculate z.
-2, -1, 0
Solve -25*r**3 + 15*r**4 + 26*r**3 - 5*r**2 + 19*r**3 - 10*r = 0 for r.
-1, 0, 2/3
Let r(i) be the second derivative of i**6/15 + i**5/5 - 21*i. Let r(b) = 0. Calculate b.
-2, 0
Let x(m) be the third derivative of -m**7/455 - m**6/780 + m**5/130 + m**4/156 + 23*m**2. Find w such that x(w) = 0.
-1, -1/3, 0, 1
Let n(s) be the second derivative of s**9/37800 - s**8/8400 + s**7/6300 - s**4/6 + 2*s. Let w(t) be the third derivative of n(t). Find a, given that w(a) = 0.
0, 1
Suppose 1/8*a**3 + 0*a**2 + 0 - 1/8*a = 0. Calculate a.
-1, 0, 1
Let m = 521/4 + -130. Let 0 + 0*n**2 + 0*n**3 + 0*n - 1/4*n**5 - m*n**4 = 0. Calculate n.
-1, 0
Let u(c) be the third derivative of -1/30*c**5 + 0*c - c**2 + 0 - 1/35*c**7 - 1/20*c**6 + 0*c**3 - 1/168*c**8 + 0*c**4. Factor u(i).
-2*i**2*(i + 1)**3
Let k(s) = s**4 + s**3 + s - 1. Let a(d) = 4*d**4 + 5*d**3 + 3*d - 3. Let f(m) = -2*a(m) + 6*k(m). What is h in f(h) = 0?
