0*w**2 + 67*w - 18. Let p(k) = 159*k**2 + 1071*k - 288. Let d(f) = 2*p(f) - 33*s(f). Solve d(i) = 0 for i.
-6, 1/4
Let v = 1979/5 - 391. Let s be (-54530)/(-7525) - (-8)/(-172). Solve -64/5*u**2 - 4/5*u**5 - 56/5*u**3 - 8/5 - s*u - v*u**4 = 0.
-2, -1
Suppose 4*d + 7 = -3*s, 5*s = -2*d + 10*s + 29. Factor 4*x + 4/5*x**d + 16/5.
4*(x + 1)*(x + 4)/5
Let n(t) be the second derivative of -t**5/170 - 18*t**4/17 - 71*t**3/17 - 106*t**2/17 + 295*t - 2. Factor n(z).
-2*(z + 1)**2*(z + 106)/17
Let u(n) = -8*n**2 - 107*n - 315. Let f(r) = -12*r**2 - 160*r - 472. Let k(o) = 5*f(o) - 8*u(o). Let k(t) = 0. Calculate t.
-10, -4
Determine a, given that -33 + 20 - 90 + 4 + 42*a - 3*a**2 = 0.
3, 11
Let -12/5*k**3 + 18/5*k**5 + 0*k**4 + 16/15*k**2 + 0 - 2/15*k = 0. Calculate k.
-1, 0, 1/3
Let q(m) = -m**2 + 9*m + 22. Let w be q(10). Let t be (-12)/4 + 51/w. Determine o so that o**2 - t*o + 1/4 = 0.
1/4, 1
Let r(t) be the third derivative of t**6/120 + t**5/10 - 7*t**4/24 + 3*t**2 - 4. Let r(v) = 0. Calculate v.
-7, 0, 1
Suppose 15*x - 12*x - 14 = -4*w, 4*x - 3*w = 2. Let n(p) be the second derivative of -9/2*p**x + 0 + 7/2*p**3 - 5/4*p**4 + 3/20*p**5 - 6*p. Factor n(m).
3*(m - 3)*(m - 1)**2
Suppose 14 = 5*k - 11. Let -28*y**k - 32*y**3 - 120*y**4 + 0*y**3 - 42*y**3 - 16*y - 98*y**3 - 96*y**2 = 0. Calculate y.
-2, -1, -2/7, 0
Let g(p) = -p**3 + 6*p**2 - 4*p + 10. Let r be g(5). Suppose 5*w = -n - 5, 0*n + 3*n = -r. Factor -2/3*t**5 + 0 + w*t**2 + 4/3*t**3 + 0*t**4 - 2/3*t.
-2*t*(t - 1)**2*(t + 1)**2/3
Let c(b) = b**3 + 3*b**2 + 2. Let r be c(-3). Let a = r + 1. Factor -34*n**a + 2*n**2 + 36*n**3 + 2*n + 2*n**2.
2*n*(n + 1)**2
Let i(x) be the first derivative of -x**5/10 + 10*x**4/9 - 13*x**3/3 + 6*x**2 + 3*x - 19. Let o(q) be the first derivative of i(q). Factor o(r).
-2*(r - 3)**2*(3*r - 2)/3
Let j(w) be the third derivative of w**8/672 + w**7/70 + 13*w**6/240 + w**5/10 + w**4/12 + 840*w**2. Factor j(u).
u*(u + 1)**2*(u + 2)**2/2
Factor -1/3*d**2 - 22/3*d - 7.
-(d + 1)*(d + 21)/3
Factor 2/7 - 2/7*h**2 - 1/7*h**3 + 1/7*h.
-(h - 1)*(h + 1)*(h + 2)/7
Solve -16/7 + 2/7*t**2 + 4/7*t = 0.
-4, 2
Let a be 498/(-12) - 3/2. Let q = a - -45. Find j, given that 1/3*j**3 + 1/2*j**4 - 1/3*j + 1/6 - 2/3*j**q = 0.
-1, 1/3, 1
Let w = -77 - -79. Let c(j) be the first derivative of 2 - w*j + j**2 + 7/4*j**4 + 31/6*j**3. Factor c(m).
(m + 2)*(2*m + 1)*(7*m - 2)/2
Let u(t) be the first derivative of -t**5/5 + 5*t**4/6 + 4*t**3/3 - 23*t**2/2 - 4. Let b(y) be the second derivative of u(y). Factor b(s).
-4*(s - 2)*(3*s + 1)
Factor -1/4 - 3/4*a**3 + 1/4*a**2 + 3/4*a.
-(a - 1)*(a + 1)*(3*a - 1)/4
Let r = -14 - -57/4. Let b(m) be the second derivative of 0 + 1/2*m**2 + 3*m + 1/24*m**4 - r*m**3. Solve b(o) = 0 for o.
1, 2
Let f(q) be the third derivative of -q**7/420 - q**6/80 + q**5/24 + q**4/16 - q**3/3 - q**2 + 27*q. Factor f(b).
-(b - 1)**2*(b + 1)*(b + 4)/2
Suppose -l - l = -l. Let z be -1*(l + (-6)/(-20))*-4. Factor -z*w**2 + 3/5*w**3 + 3/5*w**4 + 0*w + 0.
3*w**2*(w - 1)*(w + 2)/5
Let h(l) be the first derivative of 2/15*l**5 - 2/9*l**3 + 0*l + 0*l**4 - 1/6*l**2 + 1/18*l**6 + 2. Find d, given that h(d) = 0.
-1, 0, 1
Let w(k) be the second derivative of -k**4/42 + 2*k**3/21 - 217*k - 2. Suppose w(u) = 0. Calculate u.
0, 2
Let n(u) be the first derivative of -u**4/4 + 2*u**3 - 22. Factor n(w).
-w**2*(w - 6)
Let j be 124/119 + 1*(-24)/42. Factor 0*h + 8/17*h**3 + 0 + j*h**2 + 2/17*h**4.
2*h**2*(h + 2)**2/17
Let f(s) be the third derivative of 5*s**6/72 + 4*s**5/9 + 65*s**4/72 + 5*s**3/9 + 5*s**2 - 21. Suppose f(i) = 0. What is i?
-2, -1, -1/5
Let j(c) = -49*c**4 + 0*c + 44*c**4 - 6 + c - c**3. Let w(n) = n**4 + 1. Let i(v) = 4*j(v) + 22*w(v). Factor i(z).
2*(z - 1)**3*(z + 1)
Let t = -3 + -5. Let x be (-38)/t + (-15)/20. Let b(k) = k**2 + 2. Let y(z) = -2*z**2 - 1. Let g(h) = x*y(h) + 6*b(h). Let g(o) = 0. What is o?
-2, 2
Suppose 44 = 7*n + 16. Factor -12*z**2 + 29*z - n*z**3 - 72*z + 35*z.
-4*z*(z + 1)*(z + 2)
Factor -26 - 21*j**3 + 14 - 23*j**4 + 20*j**4 - 39*j - 45*j**2.
-3*(j + 1)**3*(j + 4)
Let p(v) be the first derivative of -15 - 147/2*v - 1/2*v**3 - 21/2*v**2. Find z, given that p(z) = 0.
-7
Let w(n) be the first derivative of 3*n**4/32 - 11*n**3/8 + 6*n**2 - 21*n/2 + 86. Let w(c) = 0. Calculate c.
2, 7
Let 2/19*h**4 + 0 - 14/19*h**2 - 12/19*h + 0*h**3 = 0. What is h?
-2, -1, 0, 3
Let d be 2/4 - 3/(-2). Let c be (-3)/(-2)*185/(-111) + (1 - -2). Factor -c*x**d + 0*x + 1/2.
-(x - 1)*(x + 1)/2
Let j be -3 + (5 - (-2 - 0)). Suppose -4*y + 64*y**2 + j - 34*y**2 + 4*y**3 - 34*y**2 = 0. What is y?
-1, 1
Let r be 6*2/4*(-2506)/(-3). Factor 2506*b**2 - 4*b**3 - r*b**2 - 24*b**5 - 28*b**4.
-4*b**3*(b + 1)*(6*b + 1)
Let g be (3/18)/((-5)/(-90)). Let o(j) be the third derivative of j**2 + 0*j + 0 - 1/15*j**5 - 1/3*j**4 + 2*j**g. Let o(v) = 0. Calculate v.
-3, 1
Let v(o) be the third derivative of 0 - 10*o**2 + 1/15*o**5 - 5/27*o**4 + 1/945*o**7 + 0*o + 8/27*o**3 - 7/540*o**6. Determine i, given that v(i) = 0.
1, 2
Let u(g) be the third derivative of g**6/540 - 4*g**5/135 - 23*g**4/108 + 10*g**3/9 - 11*g**2 - 2*g. Factor u(d).
2*(d - 10)*(d - 1)*(d + 3)/9
Let d(t) = -t**4 - t**3 + t**2 - t + 1. Let l(q) = -9*q**4 + 3*q**3 + 6*q**2 - 18*q + 6. Let j(n) = -6*d(n) + l(n). Factor j(m).
-3*m*(m - 2)**2*(m + 1)
Let h be (-3 - 20/(-4)) + 0. Let a = 1 + h. Factor 26*w**4 - 3*w**5 - 4*w**5 - 27*w**3 - a*w**4 + 13*w**2 - 2*w.
-w*(w - 1)**3*(7*w - 2)
Let d = 7 - 4. Let q(y) = -85*y - 152. Let k be q(-4). Find o, given that o**3 - k + 188 - d*o**3 + 2*o = 0.
-1, 0, 1
Let v(i) = 4*i**2 - 143*i - 340. Let l be v(38). Factor -3/7*p**4 - 24/7*p**3 - 15/7 - 54/7*p**l - 48/7*p.
-3*(p + 1)**3*(p + 5)/7
Let x(o) be the third derivative of -7*o**5/330 + 235*o**4/33 - 268*o**3/33 - 44*o**2 - 1. Factor x(n).
-2*(n - 134)*(7*n - 2)/11
Suppose 25*c - 70 = 11*c. Let w(u) be the first derivative of -2*u**2 - c - 4/3*u**3 + 8*u. Factor w(i).
-4*(i - 1)*(i + 2)
Let r(c) be the second derivative of -1/20*c**5 + 2/3*c**4 + 9*c**2 - 7/2*c**3 - 13*c + 0. Find w, given that r(w) = 0.
2, 3
Let y(q) = -q**5 - q**4 + q**2 - q. Let u(v) = v**5 + 75*v**4 - 1800*v**3 + 15550*v**2 - 13822*v. Let b(l) = u(l) + 2*y(l). Factor b(d).
-d*(d - 24)**3*(d - 1)
Let q(j) be the third derivative of j**6/60 - j**5/3 + 23*j**4/12 - 14*j**3/3 + 2*j**2 + 4. Factor q(z).
2*(z - 7)*(z - 2)*(z - 1)
Let -292/5*i**2 + 2/5*i**5 + 296/5*i - 112/5 - 28/5*i**4 + 134/5*i**3 = 0. What is i?
1, 2, 7
Suppose 5*k - 5*o = 35, 5*k + 4*o = 9 - 1. Let a(l) be the third derivative of 0*l + 0 + 1/48*l**k - 1/480*l**5 - 1/16*l**3 - 9*l**2. Factor a(d).
-(d - 3)*(d - 1)/8
Solve 24*h - 5 - 3*h**2 + 4*h - 56 + 9 + 2*h**2 = 0.
2, 26
Let v = 58176/5 - 11585. Let l = v + -50. Find q such that 1/5*q**4 - l*q**3 + 4/5*q + 8/5 - 6/5*q**2 = 0.
-2, -1, 2
Let k be (-11 + 11)/(-5 + 3). Let z(i) be the second derivative of 1/100*i**5 + 0*i**3 - 1/60*i**4 - 7*i + k + 0*i**2. Factor z(m).
m**2*(m - 1)/5
Let v be ((-1)/(-4))/((-262)/(-4978) + 193/304). Factor -2/11*f**3 - v*f**2 + 12/11 + 10/11*f.
-2*(f - 2)*(f + 1)*(f + 3)/11
Let y = 97 - 95. Factor n**4 + y*n**2 + 8*n**3 + n**3 - 6*n**3.
n**2*(n + 1)*(n + 2)
Let b(t) be the first derivative of 34 + 0*t - 5/12*t**3 + 5/4*t**2 - 5/16*t**4. Let b(j) = 0. Calculate j.
-2, 0, 1
Let w be (-15 + 1032/70)/(3/(-5)). Let c(n) be the first derivative of w*n**2 + 4 + 2/21*n**3 + 4/7*n. Suppose c(s) = 0. Calculate s.
-2, -1
Factor -12 - 1/2*w**3 - 5*w + 13/2*w**2.
-(w - 12)*(w - 2)*(w + 1)/2
Let h(c) = -c**2 + c + 1. Let j(p) = 8*p**2 - 3*p - 7. Suppose -4*x - 3 = -x. Let o(m) = x*j(m) - 4*h(m). What is v in o(v) = 0?
-1, 3/4
Let k(h) = h**2 - 3*h + 1. Let l(d) = 8*d**2 + 462*d + 28806. Let j(a) = -6*k(a) + l(a). Factor j(u).
2*(u + 120)**2
Let 5*m - 25 - 1/4*m**2 = 0. What is m?
10
Suppose 660 = -4*z - 6*z. Let t be ((-54)/(-10))/((-33)/z). Factor 1/5*v**4 + 12/5*v**3 + 108/5*v + 81/5 + t*v**2.
(v + 3)**4/5
Let t be -2 - (20/15 + 38/(-6)). Let q be (3/(-6))/(-1)*2/t. Solve -q*n**3 + 0 + 0*n + 1/6*n**2 + 1/6*n**4 = 0 for n.
0, 1
Factor -11/2*h + 23/4 - 1/4*h**2.
-(h - 1)*(h + 23)/4
Factor 0 - 2/15*h**3 + 2/15*h + 0*h**2.
-2*h*(h - 1)*(h + 1)/15
Suppose 4*n + 6 = -14. Let d be 1 + -2 + ((-30)/8 - n). Solve -d*a**2 + 3/2*a - 9/4 = 0 for a.
