o(a) = 20*a**2 + a + 1. Let r be o(-2). Factor r - 12*w**3 - 79 - 9*w**2 + 3*w.
-3*w*(w + 1)*(4*w - 1)
Let o(i) be the second derivative of 1/54*i**4 + 0 + 15*i - 1/9*i**2 + 0*i**3. Solve o(z) = 0 for z.
-1, 1
Determine y, given that 22/7*y**2 - 2/7*y**3 + 18/7 - 38/7*y = 0.
1, 9
Suppose 3*h = 7*g - 3*g + 2, 2*h + 32 = -4*g. Let l be h*2/(-6) - (6 - 7). Factor 0*f + 1/6*f**4 + 0 - 1/2*f**l + 1/3*f**2.
f**2*(f - 2)*(f - 1)/6
Let x be 132/14 - (25/(-7) + 4). Factor 5*m**3 + 60 + 61*m**2 + x*m**2 - 35*m**2 + 80*m.
5*(m + 2)**2*(m + 3)
Let k be (-1 + 3)/(1/1). Let i = -81 + 86. Factor k + 0*p + 3*p - 2*p - i*p + 2*p**2.
2*(p - 1)**2
Suppose 2/3*f**4 + 76/3*f**2 - 16*f + 0 - 10*f**3 = 0. What is f?
0, 1, 2, 12
Let d(z) = z**3 + 3*z**2 - z - 13. Let a be d(-3). Let q = a + 56/5. Factor 4/5*i - i**3 - 1/5*i**4 + 8/5 - q*i**2.
-(i - 1)*(i + 2)**3/5
Let j(k) = -k**3 - k**2 + k + 1. Suppose 126 = 4*s + 38. Let d(x) = 10*x**3 + 2*x**2 - 26*x - 18. Let b(i) = s*j(i) + 2*d(i). Factor b(o).
-2*(o + 1)**2*(o + 7)
Let s(u) be the first derivative of 2/9*u**3 - 2*u + 15 + 2/3*u**2. Factor s(n).
2*(n - 1)*(n + 3)/3
Let i(v) be the second derivative of -v**7/112 + 3*v**6/20 - 33*v**5/80 - 21*v**4/8 - 49*v**3/16 - 177*v. Factor i(d).
-3*d*(d - 7)**2*(d + 1)**2/8
Let q(i) = 9*i**2 + 21*i - 8. Let h(y) = -5*y**2 - 11*y + 4. Let n(s) = -11*h(s) - 6*q(s). Factor n(p).
(p - 4)*(p - 1)
Let 524*g**2 - 550*g**4 + 3 + 116*g**2 - 3 + 2080*g**3 + 35*g**5 = 0. Calculate g.
-2/7, 0, 8
Suppose 0*z - 16 = -8*z. Factor 11*y - 22*y - y**z + 9*y + y**3.
y*(y - 2)*(y + 1)
Determine w so that -3*w**3 - 5/2*w**4 + 0 + 0*w**2 + 0*w - 1/2*w**5 = 0.
-3, -2, 0
Let w(j) = j**3 + 8*j**2 + 6*j - 9. Let m be w(-5). Let h be m/7*6/(-18) + 2. Solve 2/7*n**3 + h*n**2 + 0*n + 0 = 0 for n.
-1, 0
Let v(h) be the third derivative of h**10/10080 + h**9/2520 - h**7/420 - h**6/240 + h**4/4 - 2*h**2. Let k(z) be the second derivative of v(z). Factor k(y).
3*y*(y - 1)*(y + 1)**3
Suppose 10 = 5*x + 2*g, 2*x = x - 5*g + 2. Let s(o) = o**2 + 2*o - 4. Let b be s(-5). Factor b*z - 6*z**2 - 8 - 39*z - 8*z**2 + 28*z**3 + 20*z**4 + 2*z**x.
4*(z - 1)*(z + 1)**2*(5*z + 2)
Suppose -8*i**3 - 76/7*i**2 + 12*i + 32/7*i**4 + 72/7 = 0. Calculate i.
-1, -3/4, 3/2, 2
Suppose 3*l**3 - 4*l**3 - 2*l + 18*l**2 - 15*l**2 = 0. What is l?
0, 1, 2
Suppose 15 = -2*x + 5*x. Factor -104 + 120*c**2 + 56 - 99*c**4 - 144*c + 96*c**3 + 14*c**x + 7*c**5.
3*(c - 2)**3*(c + 1)*(7*c + 2)
Let j(h) = 4*h**4 + 16*h**3 + 30*h**2. Let m(s) = -21*s**4 - 80*s**3 - 149*s**2. Let d(g) = 11*j(g) + 2*m(g). Factor d(z).
2*z**2*(z + 4)**2
Suppose -51*y - 48 = -150. Let d(b) be the third derivative of 2/15*b**3 - 1/20*b**4 - 8*b**y + 0*b**5 + 0 + 0*b + 1/300*b**6. What is j in d(j) = 0?
-2, 1
Suppose 0 = 15*g + 63 + 57. Let y be 4/6 - g/(-12). Factor 0*j**3 + 4/5*j**2 + y*j - 2/5 - 2/5*j**4.
-2*(j - 1)**2*(j + 1)**2/5
Let n be (1/(-3))/((-1)/42). Factor -3 + 2 - 8*g**2 - 5*g**2 + n*g**2.
(g - 1)*(g + 1)
Let b(h) be the third derivative of 2/15*h**6 + 1/6*h**4 + 0 - 1/3*h**5 + 0*h**3 - 12*h**2 + 0*h. Factor b(f).
4*f*(f - 1)*(4*f - 1)
Let o be 17/4 + (-20)/16. Factor 54 + o*k**2 - 2*k**2 - 59 + 4*k + 0*k**2.
(k - 1)*(k + 5)
Let n be (-162)/(-84) + 3/42. Let w(d) be the first derivative of 0*d + 1/6*d**6 - 2/5*d**5 + 0*d**n - 5 - 1/4*d**4 + 2/3*d**3. Suppose w(s) = 0. What is s?
-1, 0, 1, 2
Let i(o) = 108*o - 26. Let c be i(4). Factor 8*s - 406 - 6*s**3 + 2*s**4 + c.
2*s*(s - 2)**2*(s + 1)
Let i = 11 + 5. Let j = i - 14. Solve -3*x + 4*x + 8*x**j - 6*x**3 - x - 2*x = 0 for x.
0, 1/3, 1
Let v(w) be the first derivative of -w**6/24 - 9*w**5/10 - 3*w**4 - 23*w**3/6 - 15*w**2/8 - 140. Factor v(x).
-x*(x + 1)**3*(x + 15)/4
Let c(x) be the first derivative of 2*x**5/55 + x**4/22 - 2*x**3/33 - x**2/11 - 53. Factor c(u).
2*u*(u - 1)*(u + 1)**2/11
Let i(j) be the first derivative of 4/11*j**3 + 8/55*j**5 - 15 - 9/22*j**4 + 0*j - 1/11*j**2. Let i(a) = 0. What is a?
0, 1/4, 1
Let r be 21/2*(-4)/(-6). Let d = -4 + r. Factor 16*c**2 - 94*c**3 + 18*c**4 + 2*c**d + 36*c**5 + 102*c**4.
4*c**2*(c + 4)*(3*c - 1)**2
Suppose 5*l + l - 9*l = 0. Suppose -4*p = -o - 12, l + 4 = -o. What is t in 6*t**3 + 4/3 - 6*t - 14/3*t**4 + 10/3*t**p = 0?
-1, 2/7, 1
Let n(f) be the second derivative of f**5/10 - f**4/4 - 17*f**3/6 - 6*f**2 + 2*f + 7. Suppose n(k) = 0. Calculate k.
-3/2, -1, 4
Let q = 4334 + -4329. Factor -20/9*t**3 - 2/9*t**q + 20/9*t**2 - 10/9*t + 2/9 + 10/9*t**4.
-2*(t - 1)**5/9
Let u(h) = h**5 + 14*h**4 + 28*h**3 + 15*h**2 - 7*h - 7. Let q(b) = b**3 + b**2 + b + 1. Let c(z) = -21*q(z) - 3*u(z). What is k in c(k) = 0?
-11, -2, -1, 0
Suppose 3*j - 2 = -5*a, -a - 5*j + 19 - 1 = 0. Let h be (-6 + -10 + 6)/a. Factor 0*k**2 + 3/2*k**h + 3/2*k + 0*k**4 - 3*k**3 + 0.
3*k*(k - 1)**2*(k + 1)**2/2
Let d(o) = o. Let h(t) be the second derivative of 0*t**2 + t**3 + 0 - 3*t**5 - 13/4*t**4 + 5*t. Let r(s) = 12*d(s) - h(s). Find f such that r(f) = 0.
-2/5, -1/4, 0
Let x(y) be the third derivative of y**5/72 - 25*y**4/144 + 5*y**3/9 - 3*y**2. Let x(s) = 0. What is s?
1, 4
Let 2*v**4 + 538 + 92 - 188*v**2 + 1128*v + 162 + 48*v**3 + 570*v**2 = 0. Calculate v.
-11, -6, -1
Factor 0*f**2 - 11*f + 51*f - 4*f**2 - 36.
-4*(f - 9)*(f - 1)
Let z(g) be the first derivative of -5/21*g**3 + 1/70*g**5 + 3/7*g**2 - 2 - 2*g + 1/42*g**4. Let h(v) be the first derivative of z(v). Factor h(q).
2*(q - 1)**2*(q + 3)/7
Let -12*o**3 - 68/5*o**2 + 64/5 + 4/5*o**4 + 12*o = 0. Calculate o.
-1, 1, 16
Let g(t) = -t**4 - 6*t**3 - 4*t**2 + 2*t + 2. Let q(h) = -5*h**4 - 31*h**3 - 20*h**2 + 11*h + 11. Let j(k) = -22*g(k) + 4*q(k). Find y such that j(y) = 0.
-2, 0
Factor -2/3*u + 0 - 4/3*u**2 + 14/3*u**3 - 8/3*u**4.
-2*u*(u - 1)**2*(4*u + 1)/3
Let f(o) = -o - 40. Let w be f(-6). Let r = 103/3 + w. Determine a, given that 0 - r*a**3 + 0*a**2 + 0*a**4 + 1/6*a + 1/6*a**5 = 0.
-1, 0, 1
Let s(k) be the second derivative of k**8/6720 - k**7/504 + k**6/90 - k**5/30 + 9*k**4/4 + 30*k. Let v(j) be the third derivative of s(j). Factor v(x).
(x - 2)**2*(x - 1)
Let w(f) be the third derivative of f**7/105 + 7*f**6/60 - f**5/2 - 175*f**4/12 - 250*f**3/3 - 5*f**2 + 28. Solve w(r) = 0 for r.
-5, -2, 5
Let t(g) be the second derivative of 1/10*g**4 + 0 - 11*g + 0*g**5 + 2/15*g**3 - 1/75*g**6 + 0*g**2. Let t(x) = 0. What is x?
-1, 0, 2
Let o(b) be the second derivative of b**6/1800 - b**4/120 - b**3 - 4*b. Let m(p) be the second derivative of o(p). Suppose m(i) = 0. What is i?
-1, 1
Let y(a) be the second derivative of 3*a**8/4480 - a**7/240 - a**6/80 - 37*a**4/12 + 38*a. Let r(i) be the third derivative of y(i). What is m in r(m) = 0?
-2/3, 0, 3
Let m(t) = -6*t - 13. Let x be m(6). Let v = -26 - x. Find i, given that v*i - 43*i - i**2 + 19*i = 0.
-1, 0
Let v = 41 - 121. Let f = -238/3 - v. Find u, given that -f - 8/3*u**3 - 6*u**2 - 4*u = 0.
-1, -1/4
Let f be (51/153)/((-10)/(-3)). Let u(q) be the second derivative of 0 + 4*q - 1/60*q**4 + 1/15*q**3 - f*q**2. Let u(a) = 0. Calculate a.
1
Let z = -517 + 525. Let y(j) be the third derivative of 0 + 0*j + 1/15*j**5 + 5*j**2 - 1/3*j**3 + 1/30*j**6 - 1/168*j**z - 1/105*j**7 - 1/12*j**4. Factor y(x).
-2*(x - 1)**2*(x + 1)**3
Let v = 14888/66915 + -2/7435. Find f such that -2/9*f + 0 + v*f**3 + 0*f**2 = 0.
-1, 0, 1
Let k(i) be the first derivative of i**4/6 - i**3/3 - 23*i + 10. Let y(n) be the first derivative of k(n). What is f in y(f) = 0?
0, 1
Let 591*c**2 + 15*c + 350 - 1185*c**2 + 589*c**2 = 0. Calculate c.
-7, 10
Let z be -2 - (6 - (7 + -4)). Let l(k) = k + 7. Let s be l(z). Factor -t**3 + 3*t**4 + 3 + 12*t + 10*t**2 + 13*t**3 + t**s + 7*t**2.
3*(t + 1)**4
Let u be 6/(-360)*(-6 - -8)*-1. Let x(y) be the second derivative of 4*y - 2/5*y**2 + 0 + 1/15*y**3 + u*y**4. What is q in x(q) = 0?
-2, 1
Let r(z) = -36*z**2 - 8*z. Let j(d) = -4*d**2 - d. Let o(f) = -28*j(f) + 3*r(f). Factor o(x).
4*x*(x + 1)
Let f(b) be the second derivative of -b**4/12 - b**3/2 + 2*b**2 + 97*b. Factor f(v).
-(v - 1)*(v + 4)
Let f(t) be the first derivative of 0*t**5 + 1/72*t**4 + 0*t**3 + 5/2*t**2 - 1/360*t**6 + 0*t + 5. Let w(y) be the second derivative of f(y). Factor w(p).
-p*(p - 1)*(p + 1)/3
Let s(u) be the second derivative of u**7/63 - 2*u**6/9 - 53*u**5/30 - 23*u**4/9 + 52*u**3/9 + 56*u**2/3 - 436*u. 