*x**i = 0. Calculate x.
-3, -1, 0
Let i be (-3 + 1)*(-15)/20. Let q(m) = -m**2 + 15*m - 33. Let j be q(12). Factor -3/2*p**2 + j - i*p.
-3*(p - 1)*(p + 2)/2
Let h be ((-15)/4 - (1 + 1)) + 6. Determine f so that 0 + 1/4*f**3 - 1/4*f + h*f**2 - 1/4*f**4 = 0.
-1, 0, 1
Factor 14/5*u**3 + 0 - 2/5*u**4 + 2*u**2 - 30*u.
-2*u*(u - 5)**2*(u + 3)/5
Let u = 167 + -60. Let z = 107 - u. Let 1/4*l + z - 1/4*l**2 = 0. What is l?
0, 1
Let m = -37 + 41. Solve -16 - 3*z**2 - 8*z + m*z**2 - 2*z**2 = 0.
-4
Suppose 5*z - 31 = 4. Find p, given that -7*p**2 - p - z*p + 5*p**2 + 2*p = 0.
-3, 0
Let c = 3169 + -6337/2. Find u, given that -u - c*u**2 + 1/2*u**3 + 0 = 0.
-1, 0, 2
Let z be 22/(-4)*-2 + -2. Suppose -5 = 2*o - z. Factor 1/2*q - 5/8*q**4 + 0 - 2*q**o + 17/8*q**3.
-q*(q - 2)*(q - 1)*(5*q - 2)/8
Let s be (-31)/(1395/240)*(-22)/8. Suppose 2/3 - j - s*j**2 = 0. What is j?
-1/4, 2/11
Suppose 7*f + 40 = 89. Let n(t) be the first derivative of 3/4*t**2 - t + 1/3*t**3 + f - 3/8*t**4. Factor n(r).
-(r - 1)*(r + 1)*(3*r - 2)/2
Let s(i) be the third derivative of 1/30*i**4 + 0 - 10*i**2 + 4/15*i**3 - 1/75*i**5 + 0*i. Factor s(o).
-4*(o - 2)*(o + 1)/5
Suppose 0 = 2*j - 27 + 31. Let n be (3/j + 2)*(-3 - -7). Find o, given that 0*o + 0*o**n + 5*o**3 + 0 - 5/2*o**4 = 0.
0, 2
Factor 12/7*a + 2*a**2 + 2/7*a**3 + 0.
2*a*(a + 1)*(a + 6)/7
Suppose 0 = 160*k - 156*k - 348. Suppose -3*m + 6 = -0*m. Factor 3*p**2 + 16*p + k*p**3 - 99*p**3 - 3*p**m - 4*p**4.
-4*p*(p - 1)*(p + 2)**2
Suppose 0 = -3*g - g + 8912. Factor c**2 + 3*c + g - 2228.
c*(c + 3)
Factor 15*i**2 - 20*i**2 + 142*i - 10*i + 117*i - 11520 + 231*i.
-5*(i - 48)**2
Factor -6*t + 1/2*t**2 + 0.
t*(t - 12)/2
Let h(p) = p**4 + 31*p**3 - 3*p**2 - 31*p + 4. Let t(l) = -30*l**3 + 3*l**2 + 30*l - 6. Let v(w) = -3*h(w) - 2*t(w). Factor v(q).
-3*q*(q - 1)*(q + 1)*(q + 11)
Suppose 4 = 2*k + 2, -3*k = 5*x - 33. Let n = x + -3. Factor -f**4 + 3*f**4 + 2*f - 1 - 2*f**2 + 1 - 2*f**n.
2*f*(f - 1)**2*(f + 1)
Let m be (-1085)/2604*18/(-15). Determine a so that -m*a + 1 - 1/2*a**5 + a**4 - 2*a**2 + a**3 = 0.
-1, 1, 2
Let a be ((-58)/(-87) - 2/3)/1. Let y(z) be the second derivative of 0*z**2 + 0 - 1/60*z**5 + a*z**3 + 1/12*z**4 + 2*z. Determine w so that y(w) = 0.
0, 3
Let v be (20 - 3627/180)/((-1)/224). Factor -v*j + 36/5 + 196/5*j**2.
4*(7*j - 3)**2/5
Let o(d) be the second derivative of d**5/16 + 35*d**4/24 + 25*d**3/2 + 45*d**2 + 728*d. Factor o(s).
5*(s + 2)*(s + 6)**2/4
Let z = 4 + -4. Suppose z = 3*t - 4 + 4. Suppose t*o**2 + 2/7*o**4 + 0*o + 0 + 2/7*o**3 = 0. What is o?
-1, 0
Solve -1/4*x**5 + 0*x + 1/4*x**2 - 1/4*x**4 + 0 + 1/4*x**3 = 0.
-1, 0, 1
Let g(p) = -4*p**2 + 13*p + 22. Let n(k) = -20*k**2 + 64*k + 112. Let h(c) = 24*g(c) - 5*n(c). Determine x so that h(x) = 0.
-2, 4
Let x(m) be the second derivative of -1/147*m**7 + 8/21*m**3 + 21*m + 0 + 1/42*m**4 + 4/7*m**2 - 1/10*m**5 - 1/21*m**6. Solve x(t) = 0 for t.
-2, -1, 1
Let z(b) = -8*b + 260. Let m be z(32). Factor -4/3*i**2 - 1/6*i**m + 3/2 - i + i**3.
-(i - 3)**2*(i - 1)*(i + 1)/6
Let y(k) be the third derivative of -k**5/180 + 5*k**4/6 - 59*k**3/18 + k**2 - 116*k. Solve y(o) = 0 for o.
1, 59
Suppose -4/3*x**4 + 48 + 26*x + 2/3*x**5 - 80/3*x**3 - 140/3*x**2 = 0. Calculate x.
-3, -1, 1, 8
Suppose 0 = 11*h - h. Let t(p) be the second derivative of 0*p**5 - 1/6*p**4 + 2*p + 0 + h*p**2 + 1/6*p**3 - 1/42*p**7 + 1/15*p**6. Factor t(w).
-w*(w - 1)**3*(w + 1)
Let a(p) be the second derivative of p**7/420 - p**6/60 + p**5/30 + 53*p**3/6 + 46*p. Let g(j) be the second derivative of a(j). Solve g(f) = 0.
0, 1, 2
Let z(w) be the first derivative of w**6/24 - 2*w**5/5 + 3*w**4/2 - 17*w**3/6 + 23*w**2/8 - 3*w/2 - 11. Factor z(a).
(a - 3)*(a - 2)*(a - 1)**3/4
Let a(z) = 27*z**2 - 319*z + 13122. Let l(n) = -16*n**2 + 159*n - 6561. Let q(f) = -3*a(f) - 5*l(f). Determine r, given that q(r) = 0.
81
Let i(a) be the second derivative of -a**8/50400 + a**7/6300 + a**6/1350 + 17*a**4/12 + 40*a. Let m(w) be the third derivative of i(w). Factor m(v).
-2*v*(v - 4)*(v + 1)/15
Suppose -a = 3*h + 10, 5*a - 5*h + 0 = 50. Let r be (-2)/(-15)*a*6. Suppose 4*p**3 - r*p - p**3 - 2*p + 3*p**2 = 0. What is p?
-2, 0, 1
Let i be -12*(1/(-2) + 1 + 0). Let r be 0 + 2/6 - (6 + i). Factor 0 - 1/3*s**3 + 0*s - r*s**2 + 1/3*s**4 + 1/3*s**5.
s**2*(s - 1)*(s + 1)**2/3
Let w = -53 + 60. Find l such that -w*l**2 + 1 - 1 - l**4 + 8*l**2 = 0.
-1, 0, 1
Let s be ((6/24)/(6/(-32)))/(-2). Let d(h) be the first derivative of 8*h - 4*h**2 + s*h**3 - 3. Solve d(t) = 0.
2
Let r(m) be the third derivative of 4*m**5/105 - 57*m**4/28 + 3*m**3 + 3*m**2 - 14. Factor r(k).
2*(k - 21)*(8*k - 3)/7
Factor -5*n + 4*n**3 + 0*n**3 - 5*n**3 - 18*n**2 + 24*n**2 - 12.
-(n - 4)*(n - 3)*(n + 1)
Let h be ((-20)/7)/((-1469)/791). Factor -h*y**2 + 6/13*y**3 + 8/13 - 18/13*y.
2*(y - 4)*(y + 1)*(3*y - 1)/13
Let o = 6/11 - 13/44. Let n = 15/11 + -49/44. Factor 0 + 1/4*m**3 + 1/4*m**4 - n*m**2 - o*m.
m*(m - 1)*(m + 1)**2/4
Let f(w) be the third derivative of w**9/272160 + w**8/30240 + w**7/11340 - w**5/30 + w**2. Let t(u) be the third derivative of f(u). Factor t(b).
2*b*(b + 1)*(b + 2)/9
Let o(c) be the second derivative of 0 + 3/20*c**5 - 1/10*c**6 - 13*c + 5/4*c**4 + 0*c**2 + 3/2*c**3. Factor o(i).
-3*i*(i - 3)*(i + 1)**2
Let w(g) = -11*g**3 - 18*g**2 + 28*g + 7. Let i(d) = 11*d**3 + 16*d**2 - 24*d - 6. Let o(c) = -7*i(c) - 6*w(c). Factor o(b).
-b**2*(11*b + 4)
Factor 0*p + 2/13*p**5 + 0 - 32/13*p**2 - 62/13*p**3 - 28/13*p**4.
2*p**2*(p - 16)*(p + 1)**2/13
Suppose 9/2*z**2 - 3/2*z**4 + 30*z + 18 - 9*z**3 = 0. Calculate z.
-6, -1, 2
Let p(q) be the third derivative of q**5/120 + q**4/4 + 5*q**3/3 + 3*q**2 - 38. Factor p(z).
(z + 2)*(z + 10)/2
Let r = -708 + 708. Let m(c) be the third derivative of r*c + 0 + 1/840*c**6 + 0*c**3 + 1/168*c**4 - 4*c**2 - 1/210*c**5. Factor m(x).
x*(x - 1)**2/7
Let s = -2176/3 + 728. Suppose -3*w + 2 + 4 = 0. Factor -4/3*h**3 - 4*h**w - 16/3*h - s - 1/6*h**4.
-(h + 2)**4/6
Let s(f) be the third derivative of f**6/180 + f**5/30 + f**4/12 + f**3/9 + f**2 + 8*f. Suppose s(b) = 0. Calculate b.
-1
Let x be (-15)/4*(-1 - -5). Let f = x - -31/2. Solve 1/2*q**3 - f*q**4 + 0 + 0*q + 0*q**2 = 0 for q.
0, 1
Let n(k) be the first derivative of k**3 - 12*k + 52. Determine z, given that n(z) = 0.
-2, 2
Let a(f) = 3*f**3 - 4*f**2 + 31*f - 10. Let j(y) = y**3 - 2*y**2 + 15*y - 6. Let s(d) = 4*a(d) - 10*j(d). Factor s(o).
2*(o - 2)*(o - 1)*(o + 5)
Let l be -35*(-16)/(-112) + (1 - 76/(-17)). Factor 6/17*w - l*w**2 + 36/17 - 2/17*w**3.
-2*(w - 2)*(w + 3)**2/17
Suppose 3*v - 4*m = 44, -32 = 5*v - m - 60. Factor -2/7*u**5 + 4/7*u**3 - 18/7*u + 24/7*u**2 - 8/7*u**v + 0.
-2*u*(u - 1)**2*(u + 3)**2/7
Let p be (-408)/170 - 116/(-40). Factor p*o**4 + 25/2 - 4*o**3 + 20*o + 3*o**2.
(o - 5)**2*(o + 1)**2/2
Let w(z) be the first derivative of -2*z**6/15 - z**5/5 + 2*z**4/3 - 13*z + 17. Let f(u) be the first derivative of w(u). Factor f(l).
-4*l**2*(l - 1)*(l + 2)
Let d be (-63)/(-18)*((-1 - -1) + 12). Let z be (9/d)/(-12*(-1)/32). Factor z*o**2 + 4/7*o - 8/7.
4*(o - 1)*(o + 2)/7
Let v(f) be the second derivative of f**6/5 - 9*f**5/16 + 3*f**4/8 + f**3/8 - 451*f. Factor v(g).
3*g*(g - 1)**2*(8*g + 1)/4
Let a = -30 + 3. Let l = a - -29. Factor 2*v**l - 2*v**4 - 2*v**3 + 6*v**3 + 2*v - 7*v**2 + v**4.
-v*(v - 2)*(v - 1)**2
Let d(q) be the second derivative of -16/9*q**2 + 0 + 8/27*q**3 - 1/54*q**4 + 7*q. Let d(l) = 0. Calculate l.
4
Factor -3*v + 0*v + 5*v**2 - 20*v + 30 - 8*v + 6*v.
5*(v - 3)*(v - 2)
Find h, given that 6 + 37*h**2 + 122*h**2 + 21*h**2 - 6*h + 865*h**3 - 757*h**3 - 63*h = 0.
-2, 1/6
Let q(k) be the first derivative of -k**9/30240 + k**8/8400 - k**6/1800 + k**5/1200 - 8*k**3/3 + 17. Let u(l) be the third derivative of q(l). Factor u(i).
-i*(i - 1)**3*(i + 1)/10
Let q(f) be the second derivative of f**4/24 + 11*f**3/3 + 121*f**2 + f - 25. Factor q(a).
(a + 22)**2/2
Let h(c) be the second derivative of -1/90*c**6 - 1/60*c**5 + 0 + 1/36*c**4 + 1/18*c**3 + 0*c**2 + 5*c. Factor h(r).
-r*(r - 1)*(r + 1)**2/3
Let o(p) = -2*p**2 - 7*p - 13. Let y be 18*(-4)/(-8) - 4. Suppose 0 = y*f - f - 12. Let v(m) = m**2 + 3*m + 6. Let h(d) = f*o(d) + 5*v(d). Factor h(w).
-(w + 3)**2
Suppose 64*m + 4744 + 12554 + 2*m**2 - 436*m = 0. Calculate m.
93
Suppo