+ (-200)/84 - -3. Factor -6/7*c - j*c**2 - 4/7.
-2*(c + 1)*(c + 2)/7
Let i(q) = q**2 + 67. Let j be 0/(-1*(-2 + 1)). Let u be i(j). Let m**3 + u - 3*m**2 - 67 + 2*m = 0. Calculate m.
0, 1, 2
Let z(g) = -2*g**4 + g**3 + g**2. Let q(j) be the first derivative of j**4/4 - j**3/3 + 9. Let f(x) = 6*q(x) + 2*z(x). Factor f(u).
-4*u**2*(u - 1)**2
Let u(z) be the first derivative of -2*z**3 - 49 - 2/5*z**5 + 0*z - 3/2*z**4 - z**2. Factor u(j).
-2*j*(j + 1)**3
Find j such that -72 - 579*j**4 + 198*j**2 - 114*j**3 - 64*j**3 - 9*j - 11*j**3 + 93*j + 498*j**4 = 0.
-3, -2/3, 2/3
Let z(v) be the third derivative of v**5/450 - 13*v**4/180 + 4*v**3/15 - 6*v**2 - v. Determine n, given that z(n) = 0.
1, 12
Suppose -5*l = -2*z - l + 32, -z = l - 10. Suppose 4*o - 7*o = -z. Factor -o*k**5 + 7*k**5 + 15*k**2 - 3*k**3 - 9*k**2 - 6*k**4.
3*k**2*(k - 2)*(k - 1)*(k + 1)
Let c = 21 - 19. Suppose -6*n + n = c*f - 29, n = -3*f + 11. Solve -2*l - 5*l**4 + 4*l**f - 3 + 2*l**4 + 0*l**4 + 2*l**3 + 2*l**4 = 0.
-1, 1, 3
Solve -3*y + 3*y**2 - 107 + 0*y**3 + 0*y**3 + 108 - y**3 = 0.
1
Let n(x) be the first derivative of x**5/30 - 5*x**4/6 + 25*x**3/3 - 3*x**2/2 + 10. Let w(g) be the second derivative of n(g). Find d such that w(d) = 0.
5
Let n(m) = m**2 - 1. Let a(w) = 7*w**2 - w + 8. Let h(b) = -a(b) + 6*n(b). Let d(k) = 2. Suppose 6 = o - 4*o. Let t(c) = o*h(c) - 14*d(c). Factor t(g).
2*g*(g - 1)
Let t(s) be the third derivative of 1/5*s**5 + 0*s**4 - 8/3*s**3 + 1/30*s**6 + 0*s + 0 + s**2. Factor t(l).
4*(l - 1)*(l + 2)**2
Let j(c) be the second derivative of -1/4*c**5 + 5/12*c**4 + 15/2*c**2 + 12 - 2*c + 25/6*c**3. What is d in j(d) = 0?
-1, 3
Let m(b) be the first derivative of -1 + 4/27*b**6 + 0*b + 0*b**3 - 4/45*b**5 - 1/9*b**4 + 0*b**2. Find p such that m(p) = 0.
-1/2, 0, 1
Suppose -m = -3*a + 3 + 6, -5*m - a + 35 = 0. Suppose -4*g = -54 + m. Determine l so that 0*l - 11*l + g*l**4 + 3*l**5 + 9*l**3 - l - 12*l**2 = 0.
-2, -1, 0, 1
Let s(j) = 2*j**5 + j**4 + j**3 + j**2 + j + 1. Let b(w) = -13*w**5 - 7*w**4 + 5*w**3 - 13*w**2 - 16*w + 2. Let y(u) = b(u) + 6*s(u). Let y(l) = 0. Calculate l.
-4, -1, 1, 2
Let c(j) be the second derivative of -9*j**7/14 - 45*j**6/2 - 387*j**5/2 + 2165*j**4/6 - 1495*j**3/6 + 169*j**2/2 - 59*j. Determine x, given that c(x) = 0.
-13, 1/3
Let l(o) be the second derivative of o**6/15 + 3*o**5/5 + 11*o**4/6 + 2*o**3 - 299*o. Factor l(z).
2*z*(z + 1)*(z + 2)*(z + 3)
Let p = 1710 - 1708. Suppose 8/7 + 16/7*k - 2/7*k**4 - 4/7*k**3 + 6/7*k**p = 0. What is k?
-2, -1, 2
Let d(h) be the second derivative of -1/240*h**5 + 0*h**4 + 11/6*h**3 + 0*h**2 - 5*h + 0 + 1/720*h**6. Let j(o) be the second derivative of d(o). Factor j(c).
c*(c - 1)/2
Let s be (-180)/585 + (-8)/(-26). Suppose 1/2 + 0*u - u**2 + 1/2*u**4 + s*u**3 = 0. What is u?
-1, 1
Determine g, given that 866*g**3 + 0*g + g - 851*g**3 + 7*g**4 + 9*g**2 = 0.
-1, -1/7, 0
Let c(x) be the second derivative of x**7/490 + x**6/140 - x**5/35 - x**4/7 + 15*x**2/2 + 11*x. Let t(m) be the first derivative of c(m). Factor t(f).
3*f*(f - 2)*(f + 2)**2/7
Let i be (-25254)/915*(0 + -2 + 1). Let o = -141/5 - -41. Find s, given that -8/5 + o*s - i*s**2 - 14/5*s**3 + 196/5*s**4 = 0.
-1, 2/7, 1/2
Let f(m) be the first derivative of -1/105*m**6 + 0*m**2 - 2/21*m**3 - 8 + 1/14*m**4 - 6*m + 0*m**5. Let a(i) be the first derivative of f(i). Factor a(h).
-2*h*(h - 1)**2*(h + 2)/7
Let c = 641/66 - 105/11. Let q(p) be the first derivative of c*p**3 - 5 + 1/2*p**2 + 1/2*p. Factor q(d).
(d + 1)**2/2
Let u(t) = -t**2 - 2*t + 1. Let w(s) = 11*s**2 - 3*s + 4. Let k(q) = -6*u(q) - w(q). Determine d so that k(d) = 0.
1, 2
Find c such that 0*c**2 + 110*c + 13 - 5*c**2 - 9 + 119 - 8 = 0.
-1, 23
Let 16/5 - 24/5*q + 1/5*q**4 + 6/5*q**3 + 1/5*q**2 = 0. Calculate q.
-4, 1
Let l(b) be the third derivative of 0 + 0*b + 9*b**2 + 0*b**3 + 0*b**4 + 1/45*b**5. Factor l(m).
4*m**2/3
Let r(q) be the third derivative of -q**7/140 - 11*q**6/20 + 91*q**5/40 - 23*q**4/8 - 191*q**2. Suppose r(m) = 0. Calculate m.
-46, 0, 1
Let u = -361/12 + 250/3. Let l = -53 + u. What is j in 4*j**3 - 24*j**2 - l*j**4 - 64 + 64*j = 0?
4
Let l(r) be the third derivative of -r**5/140 + 9*r**4/28 - 81*r**3/14 + 89*r**2. Factor l(u).
-3*(u - 9)**2/7
Factor 38/9*r - 40/9 + 2/9*r**2.
2*(r - 1)*(r + 20)/9
Let v(h) = h**3 + 24*h**2 - 61*h + 30. Let r(j) = 270 - 214*j - 336*j - 74*j**2 + 289*j**2 + 10*j**3. Let o(a) = -6*r(a) + 55*v(a). Factor o(g).
-5*(g - 3)*(g - 2)*(g - 1)
Let x(g) = -5*g**2 - 5*g - 4. Suppose 14*b = 16*b - 10. Let l(c) = 6*c**2 + 6*c + 5. Let p(k) = b*x(k) + 4*l(k). Find w such that p(w) = 0.
-1, 0
Let l be ((-1)/18)/((-36)/16 - (-9 + 7)). Factor 10/9*f**2 + 4/9*f + 0 + 8/9*f**3 + l*f**4.
2*f*(f + 1)**2*(f + 2)/9
Let n(y) = -y**2 - 10*y. Let w be n(-10). Factor 4*m**3 + w*m**3 - 3*m**3 + 9*m**2 + 2*m**3 + 6*m.
3*m*(m + 1)*(m + 2)
Let s(b) be the second derivative of -17*b**5/120 - 7*b**4/36 + 37*b**3/36 - b**2/2 - 24*b + 10. Suppose s(y) = 0. What is y?
-2, 3/17, 1
Let r(u) be the third derivative of u**5/60 + 29*u**4/24 - 22*u**3 + 612*u**2. Factor r(p).
(p - 4)*(p + 33)
Let h(l) be the first derivative of l**4 - 2*l**3 + 0*l + 2/5*l**5 + 0*l**2 - 12. Determine v so that h(v) = 0.
-3, 0, 1
Let q(r) be the third derivative of -r**7/1540 - r**6/132 - 2*r**5/55 - r**4/11 - 8*r**3/3 - 31*r**2. Let p(b) be the first derivative of q(b). Factor p(c).
-6*(c + 1)*(c + 2)**2/11
Let r be 6/(-7)*(-28)/6. Let i(d) be the first derivative of -1/20*d**r + 1 + 0*d**3 + 0*d + 0*d**2. Determine z so that i(z) = 0.
0
Let g(c) be the second derivative of -c**5/200 + c**4/40 + c**3/15 - 3*c**2/5 - 3*c + 11. Determine z so that g(z) = 0.
-2, 2, 3
Suppose 6*z + 120 = 3*z. Let b be ((15/(-12))/5)/(35/z). Factor -2/7*g**2 - b + 4/7*g.
-2*(g - 1)**2/7
Let q be (-19 + 0 - 4/(-4))*21/(-147). Find n, given that -51/7*n + 51/7*n**2 + 3/7*n**4 - 3*n**3 + q = 0.
1, 2, 3
Let y(q) = 2*q**2 + 6*q - 8. Let h(d) = d**2 + 2*d - 3. Suppose -6*b + 1 = 19. Suppose 36 = 5*t - 4. Let s(f) = b*y(f) + t*h(f). What is m in s(m) = 0?
0, 1
Let n(u) be the second derivative of -u**8/30240 - u**7/5670 - u**6/3240 + 7*u**4/6 - 5*u. Let i(b) be the third derivative of n(b). Factor i(g).
-2*g*(g + 1)**2/9
Factor -4/3*n**2 - 8/3*n + 32/3.
-4*(n - 2)*(n + 4)/3
Let l(i) = -2*i**3 - 3*i**2 - i - 1. Let a(s) = -108*s**4 - 38*s**3 + 4*s**2 + 2*s + 2. Let r(q) = -2*a(q) - 4*l(q). Factor r(m).
4*m**2*(3*m + 1)*(18*m + 1)
Let t be (-365)/(-1 + 2 + -2). Let f = t - 4011/11. Factor 2/11*j**2 - f + 2/11*j.
2*(j - 1)*(j + 2)/11
Let j(l) be the third derivative of l**5/30 + l**4/8 - 2*l**3 + 9*l**2. Let m be j(2). Factor -2/7*c**3 + 2/7 - 2/7*c**m + 2/7*c.
-2*(c - 1)*(c + 1)**2/7
Factor -1/3*k**3 - 133*k - 361/3 - 13*k**2.
-(k + 1)*(k + 19)**2/3
Factor 1/2*h + 1/4*h**4 + 3/4 - h**2 - 1/2*h**3.
(h - 3)*(h - 1)*(h + 1)**2/4
Let q be 1*(-1)/(-45) - (-65)/325. Let i(n) be the third derivative of 0 - 4/45*n**5 + 0*n + q*n**3 - 1/6*n**4 - 8*n**2. Find m, given that i(m) = 0.
-1, 1/4
Factor -65*u**3 + 14*u**3 + 61*u**4 - 576*u - 49*u**3 - 65*u**4 - 672*u**2.
-4*u*(u + 1)*(u + 12)**2
Let y = -63 - -67. Factor -1792*z + 4*z**2 + 1792*z - y.
4*(z - 1)*(z + 1)
Let n(s) = -s**3 + 2. Let r be n(0). Suppose r*u - u = 6. Factor -7 - 5*i**3 + 2*i**4 - 1 + u*i**2 - 8*i + 0 + 13*i**3.
2*(i - 1)*(i + 1)*(i + 2)**2
Factor 4*r - 2*r + 19 + 3*r**2 - 29*r + 41 - 36*r.
3*(r - 20)*(r - 1)
Let g(i) be the second derivative of -i**7/840 + i**5/120 + 2*i**3 - i. Let q(x) be the second derivative of g(x). Solve q(z) = 0.
-1, 0, 1
Let k(y) = -7*y - 38. Let h be k(-6). Suppose -3*z**4 + 16 - 3*z**h + 4*z**3 + 18*z**4 - 28*z**2 - 4*z**5 = 0. Calculate z.
-1, 1, 2
Factor -9/2 + 1/4*w**3 + w**2 - 3/4*w.
(w - 2)*(w + 3)**2/4
Let j(t) be the second derivative of -t**6/6 + 11*t**5/4 + 145*t**4/12 - 65*t**3/2 - 6*t + 8. Factor j(h).
-5*h*(h - 13)*(h - 1)*(h + 3)
Factor -33*o**4 - 42*o + 3*o**5 - 123*o**2 + 1322*o**3 + 1380*o**3 - 2819*o**3.
3*o*(o - 14)*(o + 1)**3
Let u be 4/(-3 + 22/6). Let d(i) = i**2 + 3*i + 4. Let a(y) = 6*y**2 + 18*y + 25. Let f(m) = u*a(m) - 39*d(m). Determine b so that f(b) = 0.
-2, -1
Let t(r) be the first derivative of 4*r**5/5 + 2*r**4 - 4*r**2 - 4*r - 217. Let t(o) = 0. Calculate o.
-1, 1
Let u(y) = 3*y**2 + 4*y - 1. Let t 