o**2 + 2/13*o**5 + 0*o**3 - 32/13*o + 0 - 8/13*o**4 = 0. Calculate o.
-2, 0, 2
Let t(i) = -i**3 - i - 1. Let c(r) = -10*r**3 + 4*r**2 - 10*r - 8. Let l = -12 + 8. Let d(a) = a + 3. Let o be d(l). Let h(b) = o*c(b) + 8*t(b). Solve h(p) = 0.
0, 1
Let r(l) be the first derivative of -l**5 - 115*l**4/4 + 5*l**3/3 + 115*l**2/2 + 535. Factor r(z).
-5*z*(z - 1)*(z + 1)*(z + 23)
Let b(r) = 4*r**3 + 27*r**2 + 57*r - 4. Let k(x) = x**2 - x + 8. Let o(f) = -b(f) - 2*k(f). Factor o(d).
-(d + 3)*(d + 4)*(4*d + 1)
Let a(w) be the third derivative of -2/105*w**7 - 2/5*w**6 + 0*w - 1/3*w**4 + 0 + 0*w**3 - 9*w**2 + 11/15*w**5 + 1/21*w**8. Find x such that a(x) = 0.
-2, 0, 1/4, 1
Suppose -3*j = -3*i - 2*j + 17, 5*i - 3*j - 31 = 0. Let 0 + 120*q + 0 - 3*q**i - 123*q + 6*q**3 = 0. What is q?
-1, 0, 1
Let g(c) be the first derivative of 3/8*c**4 + 0*c**2 - 12 - 1/2*c**3 + 0*c. Suppose g(p) = 0. What is p?
0, 1
Let y(j) be the first derivative of -10*j**2 - 7/4*j**4 - 8*j - 6*j**3 + 6 - 1/5*j**5. Factor y(c).
-(c + 1)*(c + 2)**3
Let n(g) = -6*g**4 - 3*g**3. Let o(w) = -w**2 - 3*w + 3. Let y be o(-4). Let u(s) = -s**4 + s**3 - s**2. Let a(v) = y*n(v) + 9*u(v). Factor a(l).
-3*l**2*(l - 3)*(l - 1)
Factor 2/3*l + 0*l**2 - 1/2*l**3 + 1/6*l**4 + 0.
l*(l - 2)**2*(l + 1)/6
Let l = -33 + 37. What is o in -2*o - 42*o**2 + 38*o**2 + l*o + 2*o**3 = 0?
0, 1
Let b(x) be the second derivative of x**4/20 + 64*x**3/5 + 6144*x**2/5 - x - 1. Suppose b(n) = 0. Calculate n.
-64
Suppose a = -5*b + 20, -4*b - 2*a = -3*b - 13. Factor -4*x**3 + 42*x + 2*x**b - 46*x - 6*x**2.
-2*x*(x + 1)*(x + 2)
Let q(m) be the second derivative of -3*m**5/20 + m**4/2 + 3*m**3/2 - m - 116. Factor q(l).
-3*l*(l - 3)*(l + 1)
Suppose -163/3*f - 26569/6 - 1/6*f**2 = 0. What is f?
-163
Suppose 0*u + 17*u = -3*u. Let i(n) be the third derivative of -6*n**2 + 1/280*n**7 - 1/160*n**6 + 0 + u*n**3 + 0*n**4 + 0*n**5 + 0*n. Factor i(s).
3*s**3*(s - 1)/4
Let a be 1 + (-53)/44 + (-1)/(-4). Let r = 16/11 + a. Factor 1/2*i**2 - r*i + 1.
(i - 2)*(i - 1)/2
Let v be (-25)/(-15)*(486/(-315))/(-9). Let -2/7*t - v + 2/7*t**2 + 2/7*t**3 = 0. Calculate t.
-1, 1
Let w(f) be the third derivative of f**6/30 + f**5/15 - 5*f**4/6 + 2*f**3 + 391*f**2. Factor w(y).
4*(y - 1)**2*(y + 3)
Let h(v) be the second derivative of -v**4/30 - 3*v**3/5 + 2*v**2 + 4*v + 19. Suppose h(d) = 0. Calculate d.
-10, 1
Let -16/3*b**3 + 0*b + 0 - 20/3*b**2 + 4/3*b**4 = 0. Calculate b.
-1, 0, 5
Let j(h) = -h**2 + 19*h - 61. Let i(s) = -4*s**2 + 75*s - 245. Let f(g) = -8*g**3 + 2*g**2 + 2*g - 2. Let u be f(1). Let l(r) = u*i(r) + 22*j(r). Factor l(b).
2*(b - 8)**2
Let x = -1539 - -1539. Let d(o) be the third derivative of 0*o**4 - 4*o**2 + 0*o**3 + x*o - 1/165*o**5 + 1/660*o**6 + 0. Factor d(f).
2*f**2*(f - 2)/11
Let s(j) be the third derivative of j**9/37800 - j**7/6300 - j**4/24 + 7*j**3/3 - 51*j**2. Let k(q) be the second derivative of s(q). Let k(p) = 0. Calculate p.
-1, 0, 1
Suppose u - 3*h - 2 = 2, -3*u + 12 = -4*h. Solve 9*f**2 - 6*f**4 + 3*f + 3*f**u - f + 4*f = 0.
-1, 0, 2
Let p = 143/6 - 2501/105. Let a(j) be the third derivative of -3*j**2 + 0 + 0*j - 3/20*j**5 + 2*j**3 - 1/20*j**6 + 1/2*j**4 + p*j**7. What is m in a(m) = 0?
-1, 2
Let j(c) be the third derivative of -c**7/525 - c**6/300 + c**5/75 - 8*c**2 - 4*c. Factor j(l).
-2*l**2*(l - 1)*(l + 2)/5
Factor -6*l**4 - 40 + 2*l**4 - 101*l**2 + 20*l**3 + 1066*l - 56*l**3 - 1174*l + l**2.
-4*(l + 1)**2*(l + 2)*(l + 5)
Factor -11/4*k**2 - 1/4*k**4 + 0*k + 3*k**3 + 0.
-k**2*(k - 11)*(k - 1)/4
Suppose -92 = 83*r - 102*r - 27*r. Suppose 16/7*o**r - 16/7*o + 0 + 12/7*o**3 = 0. What is o?
-2, 0, 2/3
Let g(c) be the first derivative of c**8/336 + c**7/84 - c**6/18 - c**5/3 + 3*c**3 - 16. Let a(s) be the third derivative of g(s). Factor a(m).
5*m*(m - 2)*(m + 2)**2
Factor 72/23*m**3 + 54/23*m + 0 - 108/23*m**2 - 20/23*m**4 + 2/23*m**5.
2*m*(m - 3)**3*(m - 1)/23
Suppose 455*d - 450*d - 10 = 0. Factor 1/6*r**d - 2/3 + 1/2*r.
(r - 1)*(r + 4)/6
Solve -2/15*s**2 + 16/15*s + 0 = 0.
0, 8
Let k(v) = 5*v - 3. Let f be k(1). Factor 3*d + 0*d**2 + 3*d**f - 9*d - d**2.
2*d*(d - 3)
Factor -4 - 10/3*k - 2/3*k**2.
-2*(k + 2)*(k + 3)/3
Factor 512/7 - 414/7*u**2 - 64/7*u + 162/7*u**3.
2*(u + 1)*(9*u - 16)**2/7
Let j(n) = -4*n**4 - 4*n**3 + 4. Let p(q) = -q**3 - 6*q**2 + 5*q - 10. Let v be p(-7). Let c(g) = -4*g**4 - 4*g**3 + 5. Let b(t) = v*c(t) - 5*j(t). Factor b(m).
4*m**3*(m + 1)
Factor -40 - l - 10*l**3 - 17*l**2 + 4*l**3 - 9*l + 7*l**3 - 48*l.
(l - 20)*(l + 1)*(l + 2)
Let u be -3*(-21)/18*2. Find m such that 2*m + u*m**2 + m**2 - 7*m**2 = 0.
-2, 0
Suppose -280*p - 416 + 1536 = 0. Find w, given that -w**p + 1/2*w**3 + w**2 + 0 + 0*w - 1/2*w**5 = 0.
-2, -1, 0, 1
Let l(f) = f**3 - 6*f**2 + 2*f - 10. Let i be l(6). Factor 65*s**3 - 61*s**3 - 3*s**2 - s**i.
4*s**2*(s - 1)
Let u(j) be the second derivative of -1/21*j**7 - 1/24*j**4 - 1/4*j**3 - 6*j + 7/40*j**5 + 0*j**2 + 1/60*j**6 + 0. Determine z, given that u(z) = 0.
-1, -3/4, 0, 1
Let o(n) = n - 8. Let h be o(12). Suppose 6*k - h*k = 82. Determine w, given that -k*w**4 + 6*w**2 + 38*w**4 + 3*w**3 - 3*w**3 - 3 = 0.
-1, 1
Suppose -y = -j - 5, 2*y + 2*y = j + 8. Let w(l) = -2*l**2. Let s(p) = 2*p + 0*p**2 - p + 3*p**2. Let z(i) = j*w(i) - 3*s(i). Let z(g) = 0. What is g?
-3, 0
Let l = 89 + -86. Factor 28*v**2 + 4*v**3 + 0*v**3 - 16*v**2 + 0*v**l.
4*v**2*(v + 3)
Let b(x) = x**3 + 18*x**2 - 37*x + 64. Let m be b(-20). Let y(o) be the first derivative of -8/3*o - 1/6*o**m - 6 + 2/3*o**3 + 0*o**2. Solve y(n) = 0 for n.
-1, 2
Find y such that 0*y - 2/5*y**2 + 0 + 2/5*y**4 - 2/5*y**5 + 2/5*y**3 = 0.
-1, 0, 1
Let w be 2639/(-378) + 2 + 5. Let d(y) be the second derivative of 1/54*y**4 + w*y**3 - 7/180*y**5 + 0 - 4*y + 2/135*y**6 + 0*y**2. Factor d(b).
b*(b - 1)**2*(4*b + 1)/9
Let c(b) = -2*b + 22. Let n be c(6). Suppose 15*u**2 - n*u**2 - 30*u - 10*u**2 = 0. Calculate u.
-6, 0
Factor 4 + 3*z**3 - 93*z**2 + 50 + 15 - 3*z + 24.
3*(z - 31)*(z - 1)*(z + 1)
Suppose 2*r - 4 = 0, -14*g - 2*r + 100 = -10*g. What is j in g*j**2 + 0 + 2/5*j**5 - 22/5*j**3 + 40*j - 12/5*j**4 = 0?
-2, 0, 5
Suppose -3*d = -82 + 109. Let j be (38/(-20) - -3) + d/15. Factor -j + 1/2*z**2 + 0*z.
(z - 1)*(z + 1)/2
Let i(l) be the first derivative of -2/15*l**3 + 1/5*l**4 - 2/25*l**5 + 0*l**2 + 0*l + 14. Factor i(p).
-2*p**2*(p - 1)**2/5
Let s = 55/18 + 155/18. Find u, given that -s*u**3 + 0 - 115/3*u**2 - 10*u = 0.
-3, -2/7, 0
Let m be (24/(-15))/((-2)/5). Suppose m = 4*v - 8. Determine s so that -2*s**2 + 7*s**v - s**2 - 6*s**3 + 4*s**2 = 0.
-1, 0
Let h(r) be the third derivative of r**8/1344 - r**7/210 + r**6/120 + 2*r**2 - 39. Factor h(j).
j**3*(j - 2)**2/4
Let b(c) = c - 3. Let i be b(7). Suppose -14*q + i*q + 50 = 0. Determine p, given that 0*p**2 + 0 + 4/9*p**4 - 2/9*p**3 - 2/9*p**q + 0*p = 0.
0, 1
Let o(a) be the second derivative of -a**5/60 - a**4/3 + 49*a**3/18 + 10*a**2 - 944*a. Solve o(l) = 0.
-15, -1, 4
Let t(s) be the second derivative of s**5/200 - s**4/60 - 4*s**3/15 + 8*s**2/5 - 3*s + 1. Solve t(b) = 0 for b.
-4, 2, 4
Factor -80*c**5 + 4453*c**4 - 413*c**4 + 318*c**2 - 866*c**3 - 1139*c**3 - 68*c**2.
-5*c**2*(c - 50)*(4*c - 1)**2
Let t = 58 + -56. Factor 14*v**2 + 10 - 17*v**2 + 8*v**t - 15*v.
5*(v - 2)*(v - 1)
Let x(d) be the third derivative of d**5/30 - 25*d**4/12 - 72*d**2. Factor x(t).
2*t*(t - 25)
Let n(c) = -4*c**4 - 61*c**3 - 128*c**2 + 517*c. Let j(d) = 12*d**4 + 184*d**3 + 384*d**2 - 1552*d. Let s(z) = 5*j(z) + 16*n(z). Factor s(l).
-4*l*(l - 2)*(l + 8)**2
Let y = 19 - 17. Factor -y*r - 4*r**3 - 4 + 6 - 2*r**4 + 6*r.
-2*(r - 1)*(r + 1)**3
Let d(o) = o**2 + 87*o + 704. Let c be d(-9). Determine n so that n**c - 1/3*n**4 + 11/3*n - n**3 + 2 = 0.
-3, -1, 2
Let m(a) be the third derivative of a**5/2 - 565*a**4/24 - 95*a**3/6 - 2*a**2 - 19*a. Factor m(s).
5*(s - 19)*(6*s + 1)
Let v be (6/(51 - 9))/((-6)/(-14)). Suppose -4/3 + 4/3*z - v*z**2 = 0. Calculate z.
2
Let n(y) be the third derivative of 2*y**7/15 - 19*y**6/30 - 118*y**5/15 - 58*y**4/3 - 16*y**3 - 231*y**2. Solve n(d) = 0 for d.
-2, -1, -2/7, 6
Let b(p) be the first derivative of 2 + 3*p + 0*p**3 - 1/70*p**5 + 0*p**4 + 0*p**2. Let d(q) be the first derivative of b(q). Factor d(l).
-2*l**3/7
Let d(o) be the first derivative of 9*o +