r f.
-1, 0, 2
Let i(v) = v + 12. Let h be i(-9). Factor 6*q**2 - 3 - 11*q**3 + 13*q**3 - 2*q**3 - h*q**4.
-3*(q - 1)**2*(q + 1)**2
Let y(p) be the first derivative of p**6/6 - 11*p**5/10 + 19*p**4/8 - 13*p**3/6 + 3*p**2/4 - 1. Find g, given that y(g) = 0.
0, 1/2, 1, 3
Let f = 31 - 28. Let u = -533/35 - -129/7. Let 24/5*z + 2/5*z**f - 12/5*z**2 - u = 0. Calculate z.
2
Let i = -91/90 - -10/9. Let v(c) be the first derivative of 4/15*c**3 - i*c**4 + 2/3*c**6 - 22/25*c**5 + 0*c**2 - 3 + 0*c. Let v(d) = 0. Calculate d.
-2/5, 0, 1/2, 1
Let q(t) be the first derivative of 7*t**6/6 + 9*t**5/5 + t**4/2 + 8. Suppose q(u) = 0. What is u?
-1, -2/7, 0
Let m = 46 + -25. Let x = -62/3 + m. Factor -x*l + 1/3*l**2 - 1/3 + 1/3*l**3.
(l - 1)*(l + 1)**2/3
Let t(j) be the second derivative of -147*j**5/40 + 7*j**4/2 - j**3 + 5*j. Factor t(g).
-3*g*(7*g - 2)**2/2
Let t(l) be the second derivative of l**7/14 + l**6/15 - l**5/5 - l**4/6 + l**3/6 + 7*l. Factor t(c).
c*(c - 1)*(c + 1)**2*(3*c - 1)
Let b be 2*((-15)/3)/(-5). Let p(m) be the first derivative of 2*m - 2 + 2/27*m**3 + 2/3*m**b. Factor p(l).
2*(l + 3)**2/9
Let h(x) be the second derivative of x**9/9072 - x**7/1260 + x**5/360 - x**3/3 - 3*x. Let c(z) be the second derivative of h(z). Suppose c(a) = 0. Calculate a.
-1, 0, 1
Let q(x) be the third derivative of -x**6/24 + x**5/12 - 17*x**2. Factor q(y).
-5*y**2*(y - 1)
Let g(t) be the first derivative of 0*t + 4/3*t**2 + 1/3*t**4 + 5 + 4/3*t**3. Factor g(r).
4*r*(r + 1)*(r + 2)/3
Let t(s) be the third derivative of -s**7/1155 - s**6/165 - s**5/66 - s**4/66 + 38*s**2. Find f, given that t(f) = 0.
-2, -1, 0
Let f(g) = -g**4 + g**2 - 3*g. Let r(c) = 2*c**4 - 2*c**2 + 8*c. Let z(h) = -8*f(h) - 3*r(h). Suppose z(l) = 0. Calculate l.
-1, 0, 1
Factor 31*t**2 - 19*t**2 - 16*t**2.
-4*t**2
Let k(l) be the third derivative of -l**7/210 + 2*l**6/45 - 2*l**5/15 - l**3/2 + 2*l**2. Let q(p) be the first derivative of k(p). Factor q(t).
-4*t*(t - 2)**2
Let m(y) be the second derivative of -y**7/294 - y**6/105 - y**5/140 - 4*y. Factor m(f).
-f**3*(f + 1)**2/7
Let p(b) be the first derivative of -3*b**5/5 - 9*b**4/2 - 13*b**3 - 18*b**2 - 12*b + 8. Factor p(x).
-3*(x + 1)**2*(x + 2)**2
Suppose 3*c + a - 2 = 0, -5*c - 4*a - 3 = 3. Factor 12*u + 12*u**2 - 6*u**3 - 37*u**2 + 16*u**c + 3*u**4 + 12.
3*(u - 2)**2*(u + 1)**2
Let c(i) be the first derivative of i**4/18 - 2*i**3/27 - 10*i**2/9 - 16*i/9 + 49. Factor c(z).
2*(z - 4)*(z + 1)*(z + 2)/9
Let f = -1073/6 - -179. Let q(d) be the third derivative of 0*d + 1/60*d**5 - 3/16*d**4 - f*d**3 + 0 - 3*d**2 + 3/80*d**6. Factor q(b).
(b - 1)*(b + 1)*(9*b + 2)/2
Let y(d) be the third derivative of d**5/150 + d**4/30 - d**3/5 - 9*d**2. Factor y(f).
2*(f - 1)*(f + 3)/5
Let z(f) = -f**3 + 9*f**2 + 16*f - 13. Let r be z(10). Suppose 0 = -5*d + 58 + r. Find x, given that 48*x**2 + 2 + 53*x**3 - d*x**3 + 0 + 18*x = 0.
-1, -1/4
What is m in -2/7*m**5 + 0 - 24/7*m**3 + 16/7*m**2 + 12/7*m**4 + 0*m = 0?
0, 2
Suppose 2*x = 3*x + 1, 0 = -2*r + x + 7. Suppose -7 = -r*j + 5. Factor 0*t + 0*t**2 + 3/2*t**3 - 3/2*t**j + 0.
-3*t**3*(t - 1)/2
Let q(m) be the first derivative of -m**4/2 + 8*m**3/3 - 5*m**2 + 4*m + 6. Factor q(u).
-2*(u - 2)*(u - 1)**2
Let o(g) be the third derivative of g**5/60 + g**4/24 + 7*g**2. Let l be o(1). Factor -2/3*y**3 + 0 - 4/3*y**l - 2/3*y.
-2*y*(y + 1)**2/3
Factor 2/7*v**5 + 0 - 22/7*v**3 + 0*v - 8/7*v**4 - 12/7*v**2.
2*v**2*(v - 6)*(v + 1)**2/7
Let -71*k**2 - 6*k - 15*k**4 - 86*k**2 + 172*k**2 - 21*k**5 + 27*k**3 = 0. What is k?
-1, 0, 2/7, 1
Suppose 4*u + 3*f - 13 = 0, -5*f - 13 = -4*u + 8. Let 0 + 3/4*o**3 + 0*o + 3/2*o**u - 3/4*o**2 = 0. Calculate o.
-1, 0, 1/2
Suppose q = 5*q + 8. Let d be 2/q + 0 + 3. Let w(i) = -i**5 + 3*i**4 + i**3 + i**2 - 2. Let s(j) = -j**4 - j**2 + 1. Let k(p) = d*w(p) + 4*s(p). Factor k(t).
-2*t**2*(t - 1)**2*(t + 1)
Suppose g - 4 = -1. Let w(k) be the first derivative of 0*k - 1/5*k**2 - 2 - 2/15*k**g. Solve w(r) = 0 for r.
-1, 0
Let x be (10/12)/1 - 7/42. Let r(t) be the first derivative of 14/15*t**5 - 14/9*t**3 + 3 + x*t**2 - 1/3*t**4 + 0*t. Solve r(q) = 0 for q.
-1, 0, 2/7, 1
Suppose -5*q - 2 = -32. Factor -2*w**2 - q*w - 1 + 5 + 4*w**2.
2*(w - 2)*(w - 1)
Suppose -13*v + 16 = -23. Factor -3/5*r - 12/5*r**2 + 0 - 12/5*r**4 - 3/5*r**5 - 18/5*r**v.
-3*r*(r + 1)**4/5
Let u(k) be the first derivative of 0*k**3 - 2 + 0*k - 1/80*k**5 + 3/2*k**2 - 1/96*k**4. Let x(v) be the second derivative of u(v). Factor x(g).
-g*(3*g + 1)/4
Let s(d) be the first derivative of d**6/1440 - d**4/96 + 2*d**3 - 6. Let n(z) be the third derivative of s(z). Factor n(p).
(p - 1)*(p + 1)/4
Factor -102 - 8*d**2 + 5*d**3 - d**4 - 102 + 212 + 2*d**2 - 4*d.
-(d - 2)**3*(d + 1)
Let s = 43 + -257/6. Let a(r) be the first derivative of -1/5*r**5 + 1/3*r + 2/9*r**3 + 1/2*r**2 - s*r**4 - 1/18*r**6 - 1. Factor a(y).
-(y - 1)*(y + 1)**4/3
Let t(m) be the first derivative of 0*m**4 + 0*m**2 - 1 - 2/25*m**5 + 0*m + 2/15*m**3. Factor t(b).
-2*b**2*(b - 1)*(b + 1)/5
Let v = 95/129 - 3/43. Let v*r**4 + 2/3 - 8/3*r**3 - 8/3*r + 4*r**2 = 0. Calculate r.
1
Let c(v) be the first derivative of -v**6/57 + 14*v**5/95 - 9*v**4/19 + 44*v**3/57 - 13*v**2/19 + 6*v/19 - 17. Determine t, given that c(t) = 0.
1, 3
Let q(y) be the second derivative of 0*y**5 + 0*y**3 + 0 - 1/70*y**6 + 0*y**2 + 1/28*y**4 - 5*y. Solve q(h) = 0 for h.
-1, 0, 1
Let j(k) be the second derivative of 0 + 2*k + 1/5*k**3 - 1/5*k**2 - 1/10*k**4 + 1/50*k**5. Factor j(a).
2*(a - 1)**3/5
Let z = -11 - -14. Suppose 2*p = z*p. Factor p + 1/4*s**2 + 1/4*s.
s*(s + 1)/4
Let n(r) be the third derivative of -5*r**7/42 + 7*r**6/8 + 8*r**5/5 + 5*r**4/6 - 37*r**2. Factor n(x).
-x*(x - 5)*(5*x + 2)**2
Let o(m) be the first derivative of -3*m**4/8 - 3*m**3/2 - 9*m**2/4 - 3*m/2 + 6. Let o(w) = 0. What is w?
-1
Let u be 52/90 - 2/(-9). Suppose -u*l**2 - 2/5 - 1/5*l**3 - l = 0. What is l?
-2, -1
Determine t, given that -4/7*t + 2/7*t**4 + 0*t**3 + 0 - 6/7*t**2 = 0.
-1, 0, 2
Solve 2/13*k**2 + 0*k - 2/13 = 0 for k.
-1, 1
Let k(d) = d**2 + 4*d - 5. Let y be k(-5). Let m(n) be the first derivative of 0*n - 4 + 0*n**3 + 0*n**2 - 1/27*n**6 + y*n**4 - 2/45*n**5. Factor m(c).
-2*c**4*(c + 1)/9
Suppose -y - 7 = -4*a + 15, 0 = 5*a + 2*y - 34. Let b = a - 4. Suppose -i**2 - 4 - 2*i**3 + 6 + b*i - i**2 = 0. What is i?
-1, 1
Let m = 47 - 325/7. Let j(f) be the first derivative of -9/7*f**2 - m*f - 3 - 2/3*f**3. Factor j(c).
-2*(c + 1)*(7*c + 2)/7
Let a(d) be the first derivative of d**6/4 + 3*d**5/10 - 9*d**4/8 - d**3/2 + 3*d**2/2 - 71. Suppose a(h) = 0. What is h?
-2, -1, 0, 1
Let m be (-3)/((-126)/44) - 6/(-21). Determine t, given that 13/3*t**4 + 0 + 7/3*t**2 - m*t**5 - 5*t**3 - 1/3*t = 0.
0, 1/4, 1
Let f(b) be the second derivative of -2*b + 0 + 96/7*b**2 - 24/7*b**3 - 3/140*b**5 + 3/7*b**4. Factor f(r).
-3*(r - 4)**3/7
Let c(r) = -2*r - 8. Let y be c(-5). Suppose u - 2*f + 3 = -4*f, -2*u - f + 3 = 0. Determine j so that j**4 - u*j**4 + 2 - y + 2*j**2 = 0.
-1, 0, 1
Let d = -136/63 + 22/9. Factor 2/7 - d*f**2 - 2/7*f + 2/7*f**3.
2*(f - 1)**2*(f + 1)/7
Factor -3490*r**5 - 4*r**3 + 3493*r**5 + 5*r**4 - r**4.
r**3*(r + 2)*(3*r - 2)
Let h(n) be the first derivative of -n**5/40 - n**4/24 + n**3/6 - 4*n - 5. Let j(g) be the first derivative of h(g). Factor j(i).
-i*(i - 1)*(i + 2)/2
Suppose 5*b = -14*d + 15*d, 3*d - 5*b = 0. Factor -2/3*x**2 - 2/3*x + d.
-2*x*(x + 1)/3
Let c = 1653/4 - 401. Determine v, given that -7*v - 1 - c*v**2 = 0.
-2/7
Let y(o) be the first derivative of o**3/8 - 3*o**2/2 + 6*o + 1. Factor y(x).
3*(x - 4)**2/8
Suppose -3*v + 2 = -v. Factor v + 2 - 2*o**2 - 3 - 2*o.
-2*o*(o + 1)
Let w be (-1)/(3/2 - 1). Let g(b) = b**3 - b**2 + b. Let k(z) = 2*z**3 + 2*z**2 + 4*z + 1. Let y(h) = w*g(h) + 2*k(h). Factor y(m).
2*(m + 1)**3
Let t = 69 + -67. Determine y, given that -16/3*y - 10/3*y**t - 2/3*y**3 - 8/3 = 0.
-2, -1
Let k(m) be the third derivative of -m**6/1080 + m**5/360 + m**3/3 - 4*m**2. Let u(i) be the first derivative of k(i). Let u(p) = 0. What is p?
0, 1
Let k = -75 + 77. Let p(u) be the first derivative of 2/35*u**5 - 2/7*u - 2 + 2/7*u**k + 0*u**3 - 1/7*u**4. Solve p(g) = 0 for g.
-1, 1
Let p be 4/3*(-27)/(-24). Let f be 4 - 66/15 - 18/(-20). Find w, given that 1 + f*w**2 + p*w = 0.
-2,