 1/420*c**7 + 3*c**2 + 0*c**3 + 1/672*c**8 + 0*c**5 + 0*c**4 + 0*c + 0*c**6. Find s such that b(s) = 0.
0, 1
Factor 5*d - 5*d**3 - 2*d**2 + 5*d**2 + 2*d**2 + 0*d**3 - 5*d**4.
-5*d*(d - 1)*(d + 1)**2
Let w(q) be the second derivative of -q**7/70 - q**6/20 + 3*q**5/20 + q**4/2 - 2*q**3 - 2*q**2 - 5*q. Let r(h) be the first derivative of w(h). Factor r(o).
-3*(o - 1)**2*(o + 2)**2
Factor -4/7 - 6/7*g - 2/7*g**2.
-2*(g + 1)*(g + 2)/7
Let a(c) = -13*c**2 + c. Let b be a(-1). Let p be -3 - 0 - b/4. Factor 1/2*v**3 + 3/2*v + 3/2*v**2 + p.
(v + 1)**3/2
Let i(k) be the second derivative of k**5/60 - k**4/6 + 2*k**3/3 - k**2 - 2*k. Let m(x) be the first derivative of i(x). Factor m(l).
(l - 2)**2
Let j = -26 - -23. Let k be (5 - 4)*(-3 - j). Find v such that 2/3*v**4 + 0*v + k + 0*v**3 - 2/3*v**2 = 0.
-1, 0, 1
Let z(i) be the second derivative of 0 - 2*i - 1/2*i**2 - 3/8*i**4 - 11/12*i**3. Factor z(m).
-(m + 1)*(9*m + 2)/2
Find j, given that 4/9*j**2 - 14/9*j**3 + 2/9*j + 0 + 8/9*j**4 = 0.
-1/4, 0, 1
Let m(s) be the third derivative of s**5/140 - 3*s**4/14 + 18*s**3/7 - 15*s**2 - 1. Factor m(b).
3*(b - 6)**2/7
Let k(o) = -o**2 + 5*o - 1. Let j(q) = 4*q**3 + q**2 - q. Let a be j(1). Let n be k(a). Factor 0*m + 0 - 1/4*m**2 - 1/4*m**n.
-m**2*(m + 1)/4
Let d(x) be the second derivative of -6*x + 3/10*x**6 + 0 - 6*x**3 - 6*x**2 + 3/10*x**5 - 9/4*x**4. Factor d(n).
3*(n - 2)*(n + 1)**2*(3*n + 2)
Let n be 6/(-4) + 48/16. Solve 2 + 1/2*l**3 + 0*l - n*l**2 = 0.
-1, 2
Let i = -13 + 18. Let q be (-8)/((-200)/15)*i. Factor 4/3*b**4 + 5*b**2 + 1/3 + 13/3*b**q + 7/3*b.
(b + 1)**3*(4*b + 1)/3
Let c(f) be the third derivative of -3*f**2 + 1/20*f**6 + 3/70*f**7 - 1/4*f**4 + 0 + 0*f**3 - 3/20*f**5 + 0*f. Factor c(z).
3*z*(z - 1)*(z + 1)*(3*z + 2)
Let t(b) be the third derivative of -b**6/280 + b**5/70 - b**4/56 - 13*b**2. Suppose t(q) = 0. Calculate q.
0, 1
Let a(m) be the third derivative of -m**5/90 + 2*m**4/9 - 16*m**3/9 + 3*m**2. Factor a(l).
-2*(l - 4)**2/3
Factor 5 + 71*o - 71*o - 5*o**2.
-5*(o - 1)*(o + 1)
Find z such that -9/2*z + 3/8*z**2 - 39/8 = 0.
-1, 13
Let b(o) = -o**3 + 6*o**2 - o + 6. Let j be b(6). Let g be j*(2 + 3/(-1)). Factor -2/5 + 0*a - 2/5*a**4 + g*a**3 + 4/5*a**2.
-2*(a - 1)**2*(a + 1)**2/5
Let j be 154/(-42) + 2*2. Determine m, given that 2/3*m + 1/3 + j*m**2 = 0.
-1
Let p(m) be the third derivative of -m**7/42 - m**6/12 + 11*m**5/12 + 5*m**4/2 - 30*m**3 + 31*m**2. Factor p(b).
-5*(b - 2)**2*(b + 3)**2
Let x = -14 - -46/3. Let l(u) be the first derivative of -x*u + 1 - 1/3*u**2 + 2/9*u**3. Find g such that l(g) = 0.
-1, 2
Let t(q) be the third derivative of q**6/40 - 13*q**5/20 + 35*q**4/8 + 49*q**3/2 + 6*q**2. Factor t(g).
3*(g - 7)**2*(g + 1)
Let k(b) be the second derivative of b**10/40320 - b**9/6720 + 3*b**8/8960 - b**7/3360 - b**4/4 + 2*b. Let l(f) be the third derivative of k(f). Factor l(c).
3*c**2*(c - 1)**3/4
Factor -3 - 9*s**4 + 6*s**4 - s**5 + 0*s**3 + 6*s**2 + 4*s**5 + 3*s - 6*s**3.
3*(s - 1)**3*(s + 1)**2
Let a(v) be the third derivative of 1/210*v**5 - 1/21*v**3 + 0*v - v**2 + 0*v**4 + 0. Find l, given that a(l) = 0.
-1, 1
Let r be 3 - (10/2 + (-3 - -1)). Let v(c) be the second derivative of 1/48*c**4 + r*c**2 - 1/24*c**3 + 1/80*c**5 - 1/120*c**6 + 0 + 2*c. Factor v(l).
-l*(l - 1)**2*(l + 1)/4
Let r(h) be the first derivative of -1 + 0*h**2 + 1/15*h**5 + 0*h - 1/9*h**3 - 1/12*h**4 + 1/18*h**6. Let r(c) = 0. What is c?
-1, 0, 1
Suppose -4*i = -3*i - 4. Let o(c) be the second derivative of 1/3*c**2 - 2*c + 0 + 2/9*c**3 + 1/18*c**i. Determine q, given that o(q) = 0.
-1
Let m(j) be the third derivative of -1/240*j**5 - 1/96*j**4 + 0 + 0*j**3 + 0*j - 6*j**2. Factor m(d).
-d*(d + 1)/4
Let r(p) be the third derivative of 25*p**8/2016 - p**7/63 - 71*p**6/720 + 11*p**5/36 - 13*p**4/36 + 2*p**3/9 + 8*p**2. Solve r(o) = 0.
-2, 2/5, 1
Let h be -4*((-5)/18 + 22/(-99)). Let r(b) be the third derivative of 1/12*b**4 + 0 - 1/120*b**5 - 1/3*b**3 + 0*b - 3*b**h. Suppose r(i) = 0. What is i?
2
Suppose -l + 64 - 14 = 4*r, 5*l - 34 = -2*r. Suppose 2*s + 0*d = -3*d - r, -4*d - 16 = 3*s. Factor s*o - 1/3*o**5 + 0*o**2 + 1/3*o**3 + 0*o**4 + 0.
-o**3*(o - 1)*(o + 1)/3
Let m be -1 - (0/4 - -2). Let c be 1/m - (-38)/42. Solve 0*z - 2/7*z**3 + 0 + 0*z**2 - 2/7*z**5 - c*z**4 = 0 for z.
-1, 0
Let c(y) = y**4 - y**3 + y**2 - 1. Let n(m) = 3*m**4 - 8*m**3 + 6*m**2 + 12*m - 13. Let o(k) = 20*c(k) - 5*n(k). Factor o(v).
5*(v - 1)**2*(v + 3)**2
Let r(x) be the second derivative of x**6/40 - 9*x**5/80 - x**4/16 + 3*x**3/8 - x - 17. Solve r(l) = 0 for l.
-1, 0, 1, 3
Let j(c) be the first derivative of -c**4/14 + 2*c**3/21 + 4*c**2/7 - 8*c/7 + 17. Factor j(n).
-2*(n - 2)*(n - 1)*(n + 2)/7
Let g = -69/4 + 357/20. Factor g*i**2 + 6/5*i + 3/5.
3*(i + 1)**2/5
Let n(m) = 9*m**2 + 4*m + 2. Let r(f) = 4*f**2 - 2 + 4*f - 2*f + 3. Let c(y) = 3*n(y) - 7*r(y). Determine w so that c(w) = 0.
-1
Let l(y) be the second derivative of y**4/42 + 4*y**3/21 - 12*y**2/7 + 10*y - 2. Factor l(j).
2*(j - 2)*(j + 6)/7
Factor 0 + 5/4*n**2 - 1/4*n**4 - 1/4*n**3 - 3/4*n.
-n*(n - 1)**2*(n + 3)/4
Determine g so that -12/11*g - 2/11*g**2 - 18/11 = 0.
-3
Suppose 0 = -37*h + 32*h. Let z be (-4 + 2)/(-2) + -1. Factor -4/3*i**4 + h + z*i**2 + 1/3*i**5 + 4/3*i**3 + 0*i.
i**3*(i - 2)**2/3
Let z = -11 - -4. Let x(w) = -3*w - 6. Let g(u) be the first derivative of u**3/3 - 7*u**2/2 - 11*u - 3. Let i(d) = z*x(d) + 4*g(d). Solve i(b) = 0 for b.
-1/4, 2
Find l, given that 5 + 3 - 8*l + 3*l**2 - l**2 = 0.
2
Let g be (1 - 1) + 9*(-2)/(-45). Factor 12/5*k + 18/5 + g*k**2.
2*(k + 3)**2/5
Let a be 52/(-8)*(-4)/50. Let u = a - 3/25. Factor 0 - 4/5*m + 2/5*m**3 + u*m**2.
2*m*(m - 1)*(m + 2)/5
Let z = -32 - -35. Let x(t) be the third derivative of -5/84*t**4 + 0*t + 0 - 1/30*t**5 - 2*t**2 + 2/21*t**z. Find b such that x(b) = 0.
-1, 2/7
Find k such that 148 - k**2 - 4*k - 148 = 0.
-4, 0
Let v(n) be the second derivative of -n**4/84 - 2*n**3/7 - 11*n**2/14 + 22*n. Determine q so that v(q) = 0.
-11, -1
Let r(o) be the second derivative of -o**7/252 + 7*o**6/18 - 49*o**5/3 + 3430*o**4/9 - 48020*o**3/9 + 134456*o**2/3 - 33*o. Factor r(q).
-(q - 14)**5/6
Let u(d) = -4*d - 35. Let n be u(-10). What is k in 1/2*k**3 - k + 1/2*k**n - 3/2*k**2 + 0 + 3/2*k**4 = 0?
-2, -1, 0, 1
Factor 2/5*v + 12/5*v**3 + 2/5*v**5 + 0 - 8/5*v**2 - 8/5*v**4.
2*v*(v - 1)**4/5
Suppose 1/5*x**3 + 2/5 - 2/5*x**2 - 1/5*x = 0. Calculate x.
-1, 1, 2
Let n(h) = 4*h**2 + 32*h + 69. Let v(x) = 4*x**2 + 32*x + 68. Let f(o) = -4*n(o) + 5*v(o). Factor f(l).
4*(l + 4)**2
Let c(k) be the third derivative of k**6/480 + k**5/40 + 3*k**4/32 + k**3/6 + 38*k**2. Find t, given that c(t) = 0.
-4, -1
Let u(l) be the second derivative of -l**5/110 + 2*l**4/33 - l**3/11 - 42*l. Factor u(o).
-2*o*(o - 3)*(o - 1)/11
Let v(i) = 15*i**4 - 12*i**3 + 9*i**2. Let m(f) = -44*f**4 + 36*f**3 - 26*f**2. Let z(w) = -6*m(w) - 17*v(w). What is p in z(p) = 0?
0, 1/3, 1
Let f = 5 + -3. Let h = 1 + f. Factor 2/5*a - 2/5*a**h - 2/5*a**2 + 2/5.
-2*(a - 1)*(a + 1)**2/5
Let k(t) be the second derivative of 0*t**2 + 0 - 1/20*t**6 + 3/20*t**5 + t + 0*t**3 - 1/8*t**4. Determine m, given that k(m) = 0.
0, 1
Let g(n) be the second derivative of n**4/102 + 8*n**3/51 + 16*n**2/17 + 11*n. Let g(c) = 0. What is c?
-4
Factor 2/17*j**3 - 4/17*j**2 + 0*j + 2/17*j**4 + 0.
2*j**2*(j - 1)*(j + 2)/17
Let x(z) be the third derivative of -z**5/150 + z**3/15 - 4*z**2. Find b, given that x(b) = 0.
-1, 1
Let y(b) = b**5 - b**4 - b**3 - b**2 + b. Let f(c) = -2*c**3 + 0*c**3 - 2*c**2 + c + 2*c**5 + 0*c**3. Let p(z) = -3*f(z) + 3*y(z). Let p(h) = 0. What is h?
-1, 0, 1
Factor 0 + 2/5*b**3 + 2/5*b**2 - 4/5*b.
2*b*(b - 1)*(b + 2)/5
Let c(z) be the first derivative of -2/7*z**4 + 0*z - 4/21*z**3 - 3 - 4/35*z**5 + 0*z**2. Find p, given that c(p) = 0.
-1, 0
Let u be ((-4)/9)/((-16)/24). Let h = -2 - -2. Factor h*b + 0 + u*b**5 + 0*b**2 - 2/3*b**4 + 0*b**3.
2*b**4*(b - 1)/3
Let z(w) = w**2 + 12*w + 13. Let u be z(-11). Let k be (42/3)/(1 + 2). Let 2/3*i + 2*i**4 + k*i**3 + 10/3*i**u + 0 = 0. Calculate i.
-1, -1/3, 0
Let n(l) be the second derivative of -l**6/18 + l**5/6 + 5*l. Suppose n(i) = 0. What is i?
0, 2
Let k(p) be the third derivative of p**6/360 + p**5/30 + p**4/6 - 2*p**3/3 - p**2. Let v(t) be the first de