 1)**3/5
Let q be 36*(-6)/(-36)*(2/4 + 0). Factor 8/3*d**4 - 2/3*d**5 + 4/3*d**2 + 0 + 0*d - 10/3*d**q.
-2*d**2*(d - 2)*(d - 1)**2/3
Let o be (-84)/(-27) + 1/2*-6. Let g(y) be the first derivative of -o*y**3 + 1/2*y**2 - 2/3*y + 3. Factor g(d).
-(d - 2)*(d - 1)/3
Let v(y) = -2*y - 4. Let q be v(-7). Factor 17*g**2 + 4 + 6 - q*g**4 + 10*g**3 + 0*g**4 + 35*g + 23*g**2 - 5*g**5.
-5*(g - 2)*(g + 1)**4
Let w(s) = 5*s - 24. Let i be (3 - 1) + 2 - -2. Let a be w(i). Factor -18*u**3 + 3*u**2 - 3/2 - 27/2*u**4 + a*u.
-3*(u + 1)**2*(3*u - 1)**2/2
Suppose 0 = k - 0*k + 4, f = -5*k - 18. Let y(d) be the third derivative of 0*d**3 + 1/54*d**4 + 1/270*d**5 + 6*d**f + 0*d + 0. Suppose y(g) = 0. Calculate g.
-2, 0
Let s(i) be the second derivative of 3*i**6/2 - 141*i**5/20 + 51*i**4/4 - 21*i**3/2 + 3*i**2 + 183*i. Factor s(g).
3*(g - 1)**3*(15*g - 2)
Let d(p) = -63*p + 2715. Let n be d(43). Factor 76*u + 722/3*u**2 + n.
2*(19*u + 3)**2/3
Let u be (-1 + -2)*(-21)/9. Suppose -3*q - 5*z = q - u, -5*z + 4 = 3*q. Determine j, given that 4*j**2 + 6*j**4 + 0 + 4 + 8*j**q + 2*j**5 - 10*j - 14*j**4 = 0.
-1, 1, 2
Factor -5*r**2 - 4*r**2 + 0*r**2 + 12 - 38*r**3 + 11*r**3 + 24*r.
-3*(r - 1)*(3*r + 2)**2
Suppose -4*d + 7 - 17 = -2*u, -5 = -u. Let g(w) be the first derivative of 3 + d*w**2 + 0*w - 3/10*w**5 + 0*w**3 + 3/4*w**4. Let g(p) = 0. Calculate p.
0, 2
Let p be (-23)/(-15) - 3/9. Let j be 1260/700 + 2/10. Factor -p + 3/5*k + 3/5*k**j.
3*(k - 1)*(k + 2)/5
Let p(z) = 1507*z**2 + 475*z + 29. Let h(n) = -503*n**2 - 158*n - 10. Let q(b) = 7*h(b) + 2*p(b). Find o such that q(o) = 0.
-2/13
Factor 4*l**2 - 17*l - 8*l + 10 - 10*l**3 + 5*l**3 + 16*l**2.
-5*(l - 2)*(l - 1)**2
Let b be (972/30)/(1/((-450)/(-110))). Factor 486/11*y + b + 54/11*y**2 + 2/11*y**3.
2*(y + 9)**3/11
Let k(o) be the first derivative of -2*o**6 - 9*o**5/5 + 39*o**4/4 + o**3 - 27*o**2/2 + 6*o - 110. Find z, given that k(z) = 0.
-2, -1, 1/4, 1
Let v(t) be the second derivative of -t**6/18 + 11*t**5/12 - 36*t. Let v(a) = 0. Calculate a.
0, 11
Let q(r) be the first derivative of r**2/2 + 9*r + 3. Let h be q(-7). Find w, given that 14*w - 8*w**2 - 4*w**3 + h*w**3 + 4*w**3 - 6*w = 0.
0, 2
Let m = -522 - -342. Let n be (-1*(-2)/(-6))/(15/m). Solve p**3 + 0 - 2/3*p**2 + 0*p + 7/3*p**5 + 4*p**n = 0 for p.
-1, 0, 2/7
Let x(p) be the third derivative of p**7/140 + 7*p**6/40 + 49*p**5/40 + 145*p**2 - 2*p. Let x(r) = 0. What is r?
-7, 0
Let m = -61819/9 - -6869. Factor -2/3*t**2 + 2/3 + 2/9*t**3 - m*t.
2*(t - 3)*(t - 1)*(t + 1)/9
Let y(h) = -h**3 + 4*h**2 + 31*h + 10. Let t(p) = p**3 - 5*p**2 - 37*p - 11. Let r(a) = -4*t(a) - 5*y(a). Factor r(q).
(q - 3)*(q + 1)*(q + 2)
Suppose 8 = r - 3*r - 3*a, 5*a + 5 = 5*r. Let i be -6*(6/9 + r). Solve 10/7*p**i - 6/7*p**3 - 2/7*p**4 - 4/7*p + 2/7*p**5 + 0 = 0 for p.
-2, 0, 1
Let i(m) be the third derivative of 0*m**7 + 0 - 1/168*m**8 + 0*m**3 + 2*m**2 + 0*m**4 + 0*m + 1/15*m**5 + 1/20*m**6. Factor i(d).
-2*d**2*(d - 2)*(d + 1)**2
Let n = 3817 + -57253/15. Factor -4/5 - 14/15*g - n*g**2.
-2*(g + 1)*(g + 6)/15
Suppose 94*j = 126*j - 64. Determine w, given that 0 + 2/5*w - 2/5*w**j - 2/5*w**3 + 2/5*w**4 = 0.
-1, 0, 1
Let s(a) = a + 2. Let o be s(2). Determine j so that -20*j**3 + 9*j**4 + 5*j**5 - 40*j**2 + j**3 + j**o - j**3 = 0.
-2, 0, 2
Solve 0 - 3*n**3 + 15/2*n - 27/2*n**2 = 0.
-5, 0, 1/2
Let k(n) = -3*n**4 - 8*n**3 + 8*n + 3. Let i(t) = -3*t**4 - 9*t**3 + 9*t + 3. Let g = 50 - 53. Let j(w) = g*k(w) + 2*i(w). Factor j(x).
3*(x - 1)*(x + 1)**3
Let b(h) be the third derivative of h**7/315 - h**6/72 + h**5/45 - h**4/72 - 36*h**2. Suppose b(u) = 0. What is u?
0, 1/2, 1
Let 2 - 10/3*j**3 + 11/3*j + 0*j**2 - 2*j**4 - 1/3*j**5 = 0. What is j?
-3, -2, -1, 1
Factor -4/7*c**4 - 1024/7 - 384/7*c**2 + 1024/7*c + 64/7*c**3.
-4*(c - 4)**4/7
Let a(f) = 364*f**5 - 286*f**4 - 44*f**3 + 34*f**2. Let d(c) = 33*c**5 - 26*c**4 - 4*c**3 + 3*c**2. Let p(u) = -6*a(u) + 68*d(u). Solve p(s) = 0.
-2/15, 0, 1
Let n be (((-273)/(-14))/(-13))/((-7)/14). Determine k, given that 0 + 1/3*k**n - 4/3*k - k**4 + 4*k**2 = 0.
-2, 0, 1/3, 2
Find b such that 31*b**2 + b**2 + 10*b**3 - 7*b**2 + 19 + 40*b + 1 - 5*b**3 = 0.
-2, -1
Let u(m) be the third derivative of -49*m**6/160 + 7*m**5/24 - m**4/96 - m**3/12 - 68*m**2 + 1. Determine y, given that u(y) = 0.
-1/7, 2/7, 1/3
Let o(r) be the first derivative of 3*r**5/40 - r**4/8 - 5*r**3/4 - 9*r**2/4 + 11*r + 1. Let b(n) be the first derivative of o(n). Solve b(h) = 0 for h.
-1, 3
Let w(r) be the second derivative of r**7/1120 + r**6/480 - r**5/20 - 3*r**4/8 + 7*r**3/6 + r. Let s(d) be the second derivative of w(d). Factor s(f).
3*(f - 3)*(f + 2)**2/4
Let x(o) be the first derivative of -4*o**3/3 + 796*o**2 - 158404*o + 362. Let x(q) = 0. What is q?
199
Let m(z) be the third derivative of 0*z**3 + 1/2*z**4 - z**5 + 0*z + 9/112*z**8 + 4*z**2 + 0 + 37/40*z**6 - 3/7*z**7. Find c, given that m(c) = 0.
0, 2/3, 1
Let j(b) be the second derivative of b**5/100 + 19*b**4/6 + 1805*b**3/6 + 57*b. Suppose j(i) = 0. Calculate i.
-95, 0
Let a(y) be the first derivative of 24*y**2 - 2 - 32/3*y - 18*y**3. Determine z, given that a(z) = 0.
4/9
Let g be 24/21 + -1 - (-7)/(-49). Suppose 4*z**2 + z**3 + 0 - 2*z**2 + g*z**2 - 2 - z = 0. What is z?
-2, -1, 1
Let f(z) be the first derivative of -10*z**4 + 20*z - 8/3*z**3 - 23 + 18*z**2 + 2/3*z**6 - 12/5*z**5. Factor f(v).
4*(v - 5)*(v - 1)*(v + 1)**3
Find v, given that -3/4*v**5 - 24*v**2 - 45/2*v**3 - 8*v - 29/4*v**4 + 0 = 0.
-4, -1, -2/3, 0
Let n(g) be the first derivative of g**4/20 - 5*g**3/3 + 225. Factor n(i).
i**2*(i - 25)/5
Let u(s) be the first derivative of 4*s**3/3 - 34*s**2 + 64*s + 81. Find y, given that u(y) = 0.
1, 16
Let l = -11/129 - -895/1419. Solve 0*x + 0 + 10/11*x**3 - 2/11*x**5 - l*x**2 - 2/11*x**4 = 0 for x.
-3, 0, 1
Let i(o) be the second derivative of 1/2*o**6 + 0*o**3 + 21*o + 0 - 27/10*o**5 + 17/4*o**4 - 6*o**2. Suppose i(a) = 0. Calculate a.
-2/5, 1, 2
Let i be 7/21*-2 - (-23)/30. Let z(p) be the second derivative of 4*p + 1/2*p**3 + 1/4*p**4 - 3/20*p**5 + 0*p**2 - i*p**6 + 0. Determine q so that z(q) = 0.
-1, 0, 1
Let s be (20/6)/(21/63). Let v be (-5)/30*-3*s. Solve -25 - v*f**2 + 20*f + 1 + 2 + 2 = 0.
2
Let m be -1 + (-33)/(-27) + 10/(-45). Suppose -4*p + 4 = -3*n, -4*p + 1 = -3*p + 4*n. Find u, given that 5*u**3 + 4*u**3 - 7*u**3 - p + u**4 + m - 2*u = 0.
-1, 1
Let f(j) be the first derivative of -j**5/10 - 21*j**4/4 + 116*j**3/3 - 75*j**2/2 - 423*j/2 + 1109. Factor f(x).
-(x - 3)**2*(x + 1)*(x + 47)/2
Let k = -6778798/525 + 12912. Let n(l) be the third derivative of -l**2 + k*l**7 - 1/60*l**4 + 0*l**3 - 1/75*l**5 + 0 + 1/840*l**8 + 0*l**6 + 0*l. Factor n(h).
2*h*(h - 1)*(h + 1)**3/5
Suppose 34*p = 146*p - 224. Factor 1/9*f**3 + 2/9 + 5/9*f + 4/9*f**p.
(f + 1)**2*(f + 2)/9
Let v(p) = 15*p**5 + 10*p**4 + 10*p**2 - 5*p. Let j(q) = q**5 + 2*q**4 + q**3 - q**2 - q + 1. Let a(t) = 10*j(t) - v(t). What is m in a(m) = 0?
-1, 1, 2
Let f(x) be the first derivative of x**8/336 - x**7/56 + x**6/72 + x**5/8 - 5*x**4/12 + 7*x**3/3 - 4. Let z(k) be the third derivative of f(k). Factor z(b).
5*(b - 2)*(b - 1)**2*(b + 1)
Let l(m) = 4*m**2 - 2*m + 4. Let f(k) be the second derivative of 5*k**4/12 - k**3/2 + 5*k**2/2 + 15*k. Let p(t) = 6*f(t) - 7*l(t). Let p(x) = 0. What is x?
1
Let s be (-47)/((-799)/(-51)) - (-14)/4. Factor 1/4*m - 1/4*m**5 - 1/2*m**4 + 0*m**3 + s*m**2 + 0.
-m*(m - 1)*(m + 1)**3/4
Let l = 33241/9 - 3693. Factor -l*f + 4/9*f**2 + 0 - 1/9*f**3.
-f*(f - 2)**2/9
Let p(i) be the first derivative of -i**5 + 5*i**4/4 + 65*i**3/3 - 125*i**2/2 + 60*i - 431. Factor p(j).
-5*(j - 3)*(j - 1)**2*(j + 4)
Let a = 67 + -63. Let 36*v**5 + 34*v**5 + 9*v**2 - 17*v**a - 22*v - 67*v**5 + 8 + 19*v**3 = 0. What is v?
-1, 2/3, 1, 4
Suppose 2*w = w + 4. Let p(l) = l**4 + l**3 + l**2 - l. Let m(q) = -q**3 + q**4 - 4*q + 8*q**3 + 0*q**3 + 10*q**2. Let v(c) = w*p(c) - m(c). Factor v(o).
3*o**2*(o - 2)*(o + 1)
Suppose 101 + 56*z + 64*z + 14*z**2 + 164*z - 21 = 0. Calculate z.
-20, -2/7
Let i(c) be the third derivative of -c**7/210 - 37*c**6/120 - 6*c**5 - 27*c**4/2 + 5*c**2 + 13. Factor i(f).
-f*(f + 1)*(f + 18)**2
Let c = 29 + -27. Factor -27*q**c - 28 - 27 + 43 - 36*q.
-3*(3*q + 2)**2
Let t = -1788 + 1790. Let a(f) be the third deri