+ 175*x**2 - 8 - 29 + 129*x + 7 = 0. Calculate x.
-5, 2/9
Let v = -49/10 + 383/70. Solve -v + 2/7*d**3 + 0*d**2 - 6/7*d = 0.
-1, 2
Let u(a) be the third derivative of -5*a**6/168 + a**5/12 - 11*a**4/168 + a**3/42 + 4*a**2 - 4*a. Find p, given that u(p) = 0.
1/5, 1
Let i = -87 - -43. Let s = i + 221/5. Factor s*t**3 - 8/5 + 12/5*t - 6/5*t**2.
(t - 2)**3/5
Suppose -4*l + 4 = -2*l. Factor -w**2 + 4*w**3 + 2 - 3 - 4*w + 0 + l.
(w - 1)*(w + 1)*(4*w - 1)
Let f be 32/240 + -1 + 1. Let y(g) be the first derivative of 0*g**2 + 4 + f*g**3 - 2/5*g. Solve y(c) = 0.
-1, 1
Let h(s) be the second derivative of s**6/30 + s**5/5 + s**4/4 - 5*s. What is m in h(m) = 0?
-3, -1, 0
Factor 1/2*g**2 + 0 + g**5 + 2*g**3 + 5/2*g**4 + 0*g.
g**2*(g + 1)**2*(2*g + 1)/2
Suppose -3*w - 6 = 0, b = -6*w + w + 9. Let l = 59/3 - b. Factor -4/3*f - 2/3*f**2 - l.
-2*(f + 1)**2/3
Suppose -12 = -m - 2*f, 5*f - 43 + 18 = 0. Determine u so that 0 - 4/3*u**3 - 14/3*u**5 + 0*u + 0*u**m + 6*u**4 = 0.
0, 2/7, 1
Let r(b) be the first derivative of -1/4*b**2 - 3/4*b**3 + 0*b + 11/16*b**4 - 8. Factor r(f).
f*(f - 1)*(11*f + 2)/4
Let r be (-3)/(-2) + (-14)/(-28). Let y(u) be the third derivative of -1/360*u**6 + 0 + 0*u**3 - 1/180*u**5 + 0*u**4 + 0*u - u**r. Find o, given that y(o) = 0.
-1, 0
Let a(p) = p**2 - 3*p + 3. Let v be a(3). Let m be (-1 + 8)*1 + -3 + 0. Solve -3*l**2 + 7/3*l**m + 5/3*l - 5/3*l**v + 2/3 = 0.
-1, -2/7, 1
Find t such that -18*t**2 + 7*t**2 - 12*t + 7*t**2 - 8 = 0.
-2, -1
Let i(o) = -10*o**2 + 19*o + 3. Let l(w) = -52*w**2 + 96*w + 16. Let y(t) = 16*i(t) - 3*l(t). Suppose y(k) = 0. What is k?
0, 4
Let l(d) be the second derivative of 1/2*d**3 + 1/4*d**4 + 0 + d - 3*d**2. Suppose l(o) = 0. Calculate o.
-2, 1
Let t(h) = 6*h - 2. Let c be t(1). Find q, given that -16*q**5 + 4*q**c + 4*q**3 - 6*q**4 - 10*q**4 = 0.
-1, 0, 1/4
Let u(f) be the second derivative of -f**4/72 + f**3/6 - 22*f. Suppose u(b) = 0. Calculate b.
0, 6
Let c(j) = 5*j**3 + 3*j**2. Let s(m) = 4*m**3 + 3*m**2. Let v(u) = 3*c(u) - 4*s(u). Determine r, given that v(r) = 0.
-3, 0
Let c = 10 + -7. Let i(g) be the third derivative of 4/735*g**7 + 3/70*g**5 - 2*g**2 - 1/84*g**4 - 1/21*g**c + 0*g - 11/420*g**6 + 0. Factor i(h).
2*(h - 1)**3*(4*h + 1)/7
Factor 30*f + f**2 - 30*f - 4*f**2 + 3*f**3.
3*f**2*(f - 1)
Let l = -5 - -5. Let f be (-2 - 48/(-21)) + l. Factor 0 + 6/7*u**2 + f*u + 6/7*u**3 + 2/7*u**4.
2*u*(u + 1)**3/7
Suppose -8 + 40*d**4 + 12*d**5 - 20*d + 0 + 10*d**3 + 30*d**3 = 0. What is d?
-1, 2/3
Let p(u) be the second derivative of -u**6/420 + u**5/105 - u**4/84 + 2*u**2 + 2*u. Let r(q) be the first derivative of p(q). Let r(k) = 0. What is k?
0, 1
Let a = -2/293 - -740/22561. Let f = a + 1222/385. Find q such that 0 - 2/5*q - 6*q**3 + 32/5*q**5 + f*q**4 - 16/5*q**2 = 0.
-1, -1/4, 0, 1
Let q be (-2)/12 + 34/12. Let i(d) be the first derivative of 4*d**2 - q*d**3 - 2 - 2*d. Factor i(c).
-2*(2*c - 1)**2
Suppose -21 = -8*w + 3. Let n(y) be the first derivative of 2 - 2/9*y**w + 0*y**2 + 0*y. Factor n(q).
-2*q**2/3
Let d(p) be the first derivative of 1/4*p**2 + 1/4*p**4 + 3/4*p**3 - 2 + 0*p. Find j such that d(j) = 0.
-2, -1/4, 0
Let q(n) = -335*n**3 + n**2. Let x be q(1). Let r = x + 1678/5. Factor 0*h**3 - 2/5*h**5 - r*h**2 + 6/5*h**4 + 0 + 0*h.
-2*h**2*(h - 2)**2*(h + 1)/5
Let a(w) = -w**2 - 5*w + 8. Let r be a(-6). Suppose 0 = -s + 2. What is x in 3*x + s*x**r + 3*x - 4*x = 0?
-1, 0
Factor -2*s + 4 + 3*s - 5*s + 5*s**2 - 4*s**2.
(s - 2)**2
Suppose -6*w = -5*w. Let b(n) be the second derivative of 4*n + w + 0*n**3 - 1/8*n**4 - 3/80*n**5 + 0*n**2. Factor b(r).
-3*r**2*(r + 2)/4
Let r(o) be the second derivative of -o**6/10 + 3*o**5/4 - 3*o**4/4 - 5*o**3/2 + 6*o**2 - 24*o. Factor r(n).
-3*(n - 4)*(n - 1)**2*(n + 1)
Let q(n) be the second derivative of -5*n**7/21 - 13*n**6/15 - 9*n**5/10 + n**4/6 + 2*n**3/3 + 4*n. Factor q(g).
-2*g*(g + 1)**3*(5*g - 2)
Let z be 2/((-2)/(-3))*(-30)/(-45). Factor 0 + 0*c + 1/2*c**z - 1/2*c**3.
-c**2*(c - 1)/2
Let w(b) be the second derivative of 0 - 2*b + 1/6*b**3 - 1/20*b**5 - 1/2*b**2 + 1/12*b**4. Suppose w(y) = 0. Calculate y.
-1, 1
Let q(g) be the second derivative of -1/13*g**4 + 4*g - 3/13*g**3 - 4/13*g**2 - 1/130*g**5 + 0. Factor q(p).
-2*(p + 1)**2*(p + 4)/13
Suppose 34 = 4*p + 10. Factor 2*z**3 - 7*z + p*z - z.
2*z*(z - 1)*(z + 1)
Let l(j) = j**3 + 3*j**2 - 5*j. Let d be l(-4). Factor c - c + 4*c**d + c**2 + 5*c**3.
c**2*(c + 1)*(4*c + 1)
Let j(u) be the third derivative of 0*u**3 + 0 + 0*u - 1/30*u**5 - 1/24*u**6 + 0*u**4 + 1/30*u**7 - 2*u**2. Factor j(n).
n**2*(n - 1)*(7*n + 2)
Let b(v) be the second derivative of -v**4/10 + 8*v**3/15 + 3*v**2/5 + 15*v. Factor b(z).
-2*(z - 3)*(3*z + 1)/5
Let x = 4 - 2. Let w(u) be the first derivative of 1/14*u**4 - 1/7*u**x + 0*u + 0*u**3 + 2. Factor w(h).
2*h*(h - 1)*(h + 1)/7
Let s be 13/3 + (-2)/6. Suppose -m + s = 4*w + 3*m, -m = 1. Factor 2/3 - 8/3*o**w - 2*o.
-2*(o + 1)*(4*o - 1)/3
Let p be (18 - 18)*(15/(-6))/(-5). Factor p - 1/3*z - 1/3*z**2.
-z*(z + 1)/3
Let l = 55 + -55. Let d(c) be the second derivative of -4*c - 7/10*c**5 + 7/3*c**3 - 2*c**2 + 1/3*c**4 + l. Factor d(s).
-2*(s - 1)*(s + 1)*(7*s - 2)
Determine m so that -3/2*m**3 + 9/2*m + 3 + 0*m**2 = 0.
-1, 2
Let b be 2*((-50)/(-4))/5. Factor -2 - 4*v**2 + 6*v**3 - 8*v + 2*v - 2*v**3 + 6*v**4 + 6*v**b - 4*v**5.
2*(v - 1)*(v + 1)**4
Let l = 20 + -20. Let o(b) be the second derivative of 0 - 1/50*b**5 + 1/15*b**4 - 3*b + l*b**2 + 0*b**3. Factor o(n).
-2*n**2*(n - 2)/5
Find k, given that -4*k**2 + 2*k**2 + 18*k**2 + 4*k**3 + 8 + 20*k = 0.
-2, -1
Let m(l) be the second derivative of l**5/35 + l**4/7 + 2*l**3/7 + 2*l**2/7 + 7*l. Factor m(w).
4*(w + 1)**3/7
Let p(j) be the first derivative of -j**5 + 5*j**4/2 + 35*j**3/3 - 50*j**2 + 60*j - 21. Factor p(n).
-5*(n - 2)**2*(n - 1)*(n + 3)
Let c(a) = 2*a**2 + 8*a - 10. Let q = 12 - 4. Let k(r) = q*r - 10 - 9 + 4*r**2 + 7*r. Let h(t) = -11*c(t) + 6*k(t). Factor h(f).
2*(f - 1)*(f + 2)
Let n = -13 - -13. Let g(k) be the third derivative of -4/15*k**5 + 2*k**2 - 4/15*k**6 + n + 0*k - 1/3*k**3 + 7/12*k**4. Factor g(r).
-2*(r + 1)*(4*r - 1)**2
Let g(p) = p**3 - p**2 - p. Let m be g(2). Let l(s) = -s**3 + 5*s**2 - s + 7. Let t be l(5). Factor m*f**3 - 2 + 2*f**2 + 0 - t*f + 0.
2*(f - 1)*(f + 1)**2
Suppose -64 = 3*i + 5. Let p be ((3 + i)/(-2))/4. Factor 3/2*s - p*s**2 + 1.
-(s - 1)*(5*s + 2)/2
Let t(z) = -48*z**2 + 76*z - 27. Let x(s) = -16*s**2 + 25*s - 9. Let l(w) = -3*t(w) + 8*x(w). Let r(i) = -i. Let u(c) = -l(c) + 4*r(c). Factor u(f).
-(4*f - 3)**2
Let r(y) be the first derivative of y**3/21 - 3*y**2/14 - 6. Let r(u) = 0. Calculate u.
0, 3
Suppose -r + 0 - 3 = 0. Let d be (r - -4 - -4) + -3. Factor -8 + 7 + o**d + 0*o**2.
(o - 1)*(o + 1)
Factor 111*m**4 - 11*m**4 + 16*m**2 - 28*m**3 - 21*m**3 - 31*m**3.
4*m**2*(5*m - 2)**2
Let m be (-126)/(-27)*((-6)/(-10) - 0). Factor -24/5*g**2 + m*g**3 + 6/5*g + 4/5.
2*(g - 1)**2*(7*g + 2)/5
Suppose 4/5 + 12/5*f + 9/5*f**2 = 0. Calculate f.
-2/3
Suppose 0 = -7*r + 3*r - 2*q + 20, -5 = -r + 5*q. Suppose r*u + 0 = -5. Let p(w) = w. Let n(b) = 2*b**2. Let z(i) = u*n(i) + 2*p(i). Factor z(o).
-2*o*(o - 1)
Let 3*n - 9*n + 0*n**2 + 3*n**2 + 3 = 0. Calculate n.
1
Factor 0*v + 9/5*v**3 - 6/5*v**2 + 0 - 3/5*v**4.
-3*v**2*(v - 2)*(v - 1)/5
Suppose -2/3*q**4 + 2/9*q**5 + 4/9*q**2 - 2/3*q + 4/9*q**3 + 2/9 = 0. What is q?
-1, 1
Suppose 3*c - 2 = 2*c. Suppose -5*w + 4 = -2*x - 9, 9 = 2*w + 3*x. Determine g, given that 2*g**w - c*g + g - g = 0.
-1, 0, 1
Let g(z) be the first derivative of -z**5/90 + z**4/27 + 4*z**3/27 - z**2/2 + 3. Let a(i) be the second derivative of g(i). Factor a(v).
-2*(v - 2)*(3*v + 2)/9
Let d = 14 + -8. Let j(l) be the third derivative of 0*l + 0 - 1/10*l**d - 1/42*l**7 - 3/20*l**5 + 0*l**3 - l**2 - 1/12*l**4. Find b such that j(b) = 0.
-1, -2/5, 0
Let u be (-3 + (-30)/(-9))*0. Let g(n) be the third derivative of 0*n**3 + 0*n + u + 1/240*n**5 - 1/48*n**4 + 2*n**2. Factor g(k).
k*(k - 2)/4
Let k(o) = 9*o**3 - o**2 - 8*o. Let h(f) = 28*f**3 - 4*f**2 - 24*f. Let l(a) = -5*h(a) + 16*k(a). Find b, given that l(b) = 0.
-2, 0, 1
Let h(j) = -12*j**2 + 45*j - 33. Let i(r) = -3*r**2 + 11*r - 8. Let p(y) = 4*h(y) - 15*i(y). Factor p(f).
-3*(f - 4)*(f - 1)
Let h(y) be the third derivative 