be p(-27). Let i(b) be the second derivative of 1/15*b**6 - 2*b - 1/5*b**5 - 1/6*b**4 + y*b**2 + 0 + 2/3*b**3. Factor i(u).
2*u*(u - 2)*(u - 1)*(u + 1)
Let q(m) be the first derivative of m**5/10 - 9*m**4/8 + 4*m**3/3 - 170. Find l such that q(l) = 0.
0, 1, 8
Let y = -11/210 - -263/210. Find t such that -2/5 - y*t**2 - 8/5*t = 0.
-1, -1/3
Factor -3/4*p**2 - 5/2*p + 0 + 1/4*p**3.
p*(p - 5)*(p + 2)/4
Let y(u) = -5*u**3 + 1015*u**2 - 5*u - 5. Let h(b) = 3*b**3 - 505*b**2 + 2*b + 2. Let p(w) = 5*h(w) + 2*y(w). Solve p(g) = 0.
0, 99
Let c(s) = s**2 + s + 1. Let l(o) be the first derivative of 9*o**2/2 + 12*o - 33. Let n(m) = 3*c(m) - l(m). Factor n(x).
3*(x - 3)*(x + 1)
Let g(z) be the third derivative of -10*z**2 - 4/21*z**3 + 0 - 1/21*z**4 - 1/735*z**7 + 0*z + 1/42*z**5 - 1/1176*z**8 + 1/84*z**6. Find i, given that g(i) = 0.
-2, -1, 1, 2
Let t(l) be the first derivative of 0*l + 0*l**2 - 1/40*l**5 + l**3 + 1/12*l**4 + 1/360*l**6 - 5. Let k(y) be the third derivative of t(y). Factor k(j).
(j - 2)*(j - 1)
Let x = -14/47 - -75/94. Let y be 2 - 2 - (-1)/2. Factor -2*s**2 + x*s + 0 - 2*s**4 + 3*s**3 + y*s**5.
s*(s - 1)**4/2
Suppose -18 = m - 3*m. Factor -i**2 - 2*i**2 - i**2 + m*i**2.
5*i**2
Let h(r) = 84*r**3 + 352*r**2 - 912*r - 272. Let c(g) = -56*g**3 - 235*g**2 + 608*g + 182. Let y(t) = 8*c(t) + 5*h(t). Factor y(u).
-4*(u - 2)*(u + 6)*(7*u + 2)
Suppose -8 = -5*i + i. Suppose -6 = -23*b + 21*b + 4*q, -b = -5*q - 3. Determine f so that -9/2*f**i + 2*f**b + 0 + f = 0.
0, 1/4, 2
Let p(v) = -v**3 - 7*v**2 + 2*v + 9. Let d(y) = 2*y**2 + y. Let q(w) = -5*d(w) + 5*p(w). Let q(r) = 0. Calculate r.
-9, -1, 1
Let z = 2093/9 + -2090/9. Factor 2/3*r**2 - 1/3*r**3 + z*r - 2/3.
-(r - 2)*(r - 1)*(r + 1)/3
Let r(s) = 16*s**4 - 628*s**3 + 67514*s**2 - 3375014*s + 63281250. Let v(i) = i**4 - 2*i**3 + i**2 - i. Let b(a) = 2*r(a) - 28*v(a). Factor b(m).
4*(m - 75)**4
Determine c so that -3*c**4 + c**5 + 0 + 3/4*c + 2*c**2 - 3/4*c**3 = 0.
-1/2, 0, 1, 3
Let o(u) be the first derivative of 1/48*u**6 + 18 + 1/32*u**4 + u - 5/12*u**3 - 1/4*u**2 + 1/10*u**5. Let o(x) = 0. Calculate x.
-2, 1
Let d(k) be the first derivative of -k**6/30 - 4*k**5/25 - 3*k**4/20 + 4*k**3/15 + 2*k**2/5 - 70. Let d(y) = 0. Calculate y.
-2, -1, 0, 1
Let t = 2346 - 11712/5. Factor -t*r**3 - 12/5 - 39/5*r**2 - 36/5*r - 3/5*r**4.
-3*(r + 1)**2*(r + 2)**2/5
Let o(t) = 12*t**3 - 45*t**2 + 281*t + 338. Let w(r) = -14*r**3 + 44*r**2 - 280*r - 338. Let d(l) = -6*o(l) - 5*w(l). Solve d(s) = 0 for s.
-1, 13
Let v = -101 - -104. Let p(i) be the second derivative of 1/4*i**2 - 1/48*i**4 + 0 - i + 1/24*i**v. Let p(h) = 0. What is h?
-1, 2
Let r(n) be the second derivative of -1/130*n**5 + 0 + 36*n + 0*n**2 - 64/39*n**3 + 8/39*n**4. Find k such that r(k) = 0.
0, 8
Let p(l) be the first derivative of -2*l**3/3 - 3*l**2/5 - 139. Factor p(v).
-2*v*(5*v + 3)/5
Let f(t) be the first derivative of t**3/2 - 43*t**2/4 + 7*t - 91. Factor f(s).
(s - 14)*(3*s - 1)/2
Let t(r) be the third derivative of 0*r + 0 + 7/12*r**5 - 5/3*r**3 - 1/8*r**6 + 5/8*r**4 - r**2 - 5/42*r**7. Find a, given that t(a) = 0.
-1, 2/5, 1
Let n(d) be the first derivative of d**5/5 - 5*d**4/4 - 7*d**3/3 + 5*d**2/2 + 6*d + 131. Factor n(x).
(x - 6)*(x - 1)*(x + 1)**2
Let z be (-2)/5*(-3 + -2). Suppose 3*k = -4*p + 36, z*p + 14 = 5*p - k. Factor -5*q**2 + 2*q**4 - 4*q**2 - 3*q**4 + p*q**3.
-q**2*(q - 3)**2
Let v(q) = -2*q + 8. Let y be v(3). Suppose y*g - 13 = -7. Suppose g*m**2 - 7*m**2 + 3*m**2 + 0*m - 1 + 2*m = 0. What is m?
1
Suppose -20 = -181*m + 171*m. Factor 0*x - 2/7*x**3 + 0 - 2/7*x**m.
-2*x**2*(x + 1)/7
Let q(h) be the second derivative of -3*h + 0*h**3 + 1/16*h**4 + 0 + 0*h**2 + 3/80*h**5. Factor q(u).
3*u**2*(u + 1)/4
Let y(i) be the second derivative of -i**5/20 + i**4/4 - i**3/3 + 230*i. Factor y(r).
-r*(r - 2)*(r - 1)
Let f(r) = -r + 7. Let b(p) = -2*p + 13. Let q(y) = 6*b(y) - 11*f(y). Let z(k) = k**2 + 8*k - 11. Let t(o) = 18*q(o) + 2*z(o). Factor t(u).
2*(u - 2)*(u + 1)
Let k(y) be the second derivative of 0 + 1/40*y**6 + y - 3/16*y**4 + 3/80*y**5 - 5/8*y**3 - 3/4*y**2. Factor k(o).
3*(o - 2)*(o + 1)**3/4
Let i(g) = -3*g**2 + 62*g - 35. Let t be 18 - (-13 - -14)*(-3 + 1). Let l be i(t). Solve -1/7*y**4 - 1/7*y**l + 3/7*y**3 + 1/7*y**2 + 0 - 2/7*y = 0 for y.
-2, -1, 0, 1
Let y(s) = 2*s**2 + 2. Let l be y(-1). Let o(h) be the second derivative of -2*h + 1/7*h**2 + 0 + 1/42*h**l + 2/21*h**3. Factor o(v).
2*(v + 1)**2/7
Let c be 270/15 - 21 - (-15)/2. Suppose 3/2*y**4 - c*y**5 - 3*y + 15/2*y**3 - 3/2*y**2 + 0 = 0. Calculate y.
-1, -2/3, 0, 1
Let y = 124/189 + -10/27. Determine t so that 2/7*t**3 - y*t**4 + 2/7*t**2 - 2/7*t + 0 = 0.
-1, 0, 1
Let d be (44/(-11))/16*(-4)/18. Let t(a) be the second derivative of 0 - d*a**4 + 2/3*a**2 - 1/9*a**3 + a. What is m in t(m) = 0?
-2, 1
Determine z, given that -4*z**2 - z - 7/2*z**4 - 23/4*z**3 + 0 - 3/4*z**5 = 0.
-2, -1, -2/3, 0
Suppose -12 = -672*b + 669*b. Factor -6/5*y**3 - 3/5 + 9/5*y + 9/5*y**b - 6/5*y**2 - 3/5*y**5.
-3*(y - 1)**4*(y + 1)/5
Let l(m) = -3*m**5 + 33*m**4 - 4*m**2 - 4*m - 4. Let q(x) = 2*x**5 - 32*x**4 + 3*x**2 + 3*x + 3. Let r(g) = -3*l(g) - 4*q(g). Find n, given that r(n) = 0.
-29, 0
Let q = 117 + -79. Let u = -38 + q. Factor 1/6*k**4 + 0 + 1/3*k**2 + u*k - 1/2*k**3.
k**2*(k - 2)*(k - 1)/6
Let x(u) be the third derivative of -4*u**7/105 - u**6/3 - 13*u**5/30 + 5*u**4/2 - 3*u**3 + 143*u**2. Factor x(d).
-2*(d + 3)**2*(2*d - 1)**2
Let b(r) = 24*r**3 - 72*r**2 + 137*r - 69. Let u(v) = -5*v**3 + 2*v - 1. Let z(d) = 3*b(d) + 15*u(d). Find j such that z(j) = 0.
-74, 1
Suppose 5*a = 20*a - 45. Let x(z) be the second derivative of 0*z**2 - 3*z + 0*z**5 - 1/24*z**4 + 0*z**a + 0 + 1/60*z**6. Find v such that x(v) = 0.
-1, 0, 1
Suppose -3*l - 5*b + 6 = 0, 2*l = 7*b - 8*b + 4. Suppose -5*p + a = 1, 0*p - 5*p - 2*a + 2 = 0. Solve 0*x + p - 1/2*x**l - 1/2*x**4 + x**3 = 0 for x.
0, 1
Suppose -1920*y + 1951*y = 124. Factor 0 + 0*n**2 - 4/3*n**3 + 0*n - 1/3*n**y.
-n**3*(n + 4)/3
Let m(g) be the third derivative of -10/9*g**3 + 0 - 53/72*g**5 + 1/36*g**7 - 31*g**2 + 35/24*g**4 + 0*g + 1/12*g**6. Determine j so that m(j) = 0.
-4, 2/7, 1
Let o = 528/61 - 2598/427. Factor -3/7*g**2 - 15/7*g - o.
-3*(g + 2)*(g + 3)/7
Let i(t) = -t**3 - 3*t**2 + 2*t + 8. Let a be i(-3). Suppose -64*s**a - 3*s**3 + s**3 + 58*s**2 = 0. Calculate s.
-3, 0
Let q = 60017/5 - 12001. Factor -14/5*s**2 + 0 + q*s**3 + s - 2/5*s**4 - 1/5*s**5.
-s*(s - 1)**3*(s + 5)/5
Let s be (612/20)/9 + (-2 - 1). Let q(v) be the first derivative of s*v - 1/15*v**3 + 5 + 1/10*v**2. Factor q(n).
-(n - 2)*(n + 1)/5
Suppose 0*r - 3 = -2*q + r, -5*q + 12 = -4*r. Factor 3/4*j + 3/2*j**2 + q.
3*j*(2*j + 1)/4
Let p(c) = -9*c**2 + 55*c - 56. Let z(f) = 28*f**2 - 164*f + 168. Let r(u) = -16*p(u) - 5*z(u). Factor r(o).
4*(o - 14)*(o - 1)
Let i(x) = -x**3 + x**2 + 1. Let j(p) = -2 + 51*p**3 + 56*p**2 - 3*p + 58*p**2 - 80*p**3. Let w(g) = 40*i(g) - 5*j(g). Factor w(a).
5*(a - 5)*(3*a - 1)*(7*a + 2)
Let v = -921 - -2738/3. Let z = v - -9. Factor 2/3*u**2 + 0 - z*u.
2*u*(u - 1)/3
Let y(g) = g**3 + 6*g**2 - g - 3. Let z be y(-6). Let l(n) be the first derivative of -1/3*n**3 - 9*n + 1 - z*n**2. Find p, given that l(p) = 0.
-3
Factor 21*m + m**4 + 9*m + 30*m - 4*m**3 - 13*m**2 + 225 - 13*m**2.
(m - 5)**2*(m + 3)**2
Let z = 16104 - 144932/9. Factor 4/3*i + 16/9*i**2 + z*i**3 + 0.
4*i*(i + 1)*(i + 3)/9
Solve 6*z + 144*z + 5*z**2 - 1763 + 1908 = 0.
-29, -1
Suppose -h + 2*s + 2*s + 6 = 0, s + 5 = 2*h. What is y in -1593*y**h - 28*y**5 - 13*y**3 - 19*y**3 + 76*y**4 + 1577*y**2 = 0?
-2/7, 0, 1, 2
Find a, given that 116/5*a + 2/5*a**2 + 114/5 = 0.
-57, -1
Let o(p) be the third derivative of 1/450*p**5 + 0 - 2/45*p**3 + 0*p - 7*p**2 + 1/300*p**6 + 1/1575*p**7 - 1/60*p**4. What is d in o(d) = 0?
-2, -1, 1
Solve 31*k**4 + 2*k + 10*k - 41*k**4 + 19*k**4 + 24*k**3 - 45*k**2 = 0 for k.
-4, 0, 1/3, 1
Suppose -4 = x, x + 14 + 10 = 4*p. Let m(r) be the second derivative of -r + 0*r**4 + 1/165*r**6 - 1/55*r**p + 2/33*r**3 - 1/11*r**2 + 0. Factor m(a).
2*(a - 1)**3*(a + 1)/11
Let j(k) be the third derivative of -k**6/30 + 38*k**5/15 - 361*k**4/6 - 53*k**2. Suppose j(v) = 0. Calculate v.
0, 19
Let b(p) be the third derivative of 1/12*p**4 + 1/15*p**5 + 1/420*p**7 + 1/48*