that 10*g**5 + 8 + 17*g - 10*g**4 + 2*g**2 + 15*g + 4*g**o - 46*g**3 = 0.
-1, -2/7, 1, 2
Factor 412/7*f**3 + 157216/7 + 2040*f**2 + 4/7*f**4 + 171088/7*f.
4*(f + 1)*(f + 34)**3/7
Let o(j) be the second derivative of -j**6/75 - j**5/50 + j**4/15 - 48*j + 1. Determine q, given that o(q) = 0.
-2, 0, 1
Let z be 4/(-50) + 9/50. Let n(o) be the second derivative of 0 - 5*o + 0*o**2 + z*o**5 - 1/6*o**4 + 0*o**3. Factor n(y).
2*y**2*(y - 1)
Let r(s) be the second derivative of s**5/10 + 12*s**4 + 432*s**3 - 497*s. Let r(p) = 0. What is p?
-36, 0
Let m(c) be the third derivative of c**5/12 + 5*c**4 - 130*c**3/3 - 34*c**2 - 3. Factor m(p).
5*(p - 2)*(p + 26)
Solve 7/8 + 1/8*u - 7/4*u**2 + 7/8*u**4 - 1/4*u**3 + 1/8*u**5 = 0.
-7, -1, 1
Let p(y) be the second derivative of y**4/4 - 53*y**3 - 321*y**2/2 + 42*y - 1. Factor p(d).
3*(d - 107)*(d + 1)
Suppose -1 + 7 = 3*z. Find n, given that -7*n**z - 11*n**3 + 4*n - 5*n**2 - 85*n**5 + 92*n**5 + 12*n**4 = 0.
-2, -1, 0, 2/7, 1
Factor 0 + 2/3*b - 2/3*b**2.
-2*b*(b - 1)/3
Let z(u) be the third derivative of 0 + 7/96*u**6 + 28*u**2 + 0*u**4 + 0*u + 5/168*u**7 + 0*u**3 + 1/24*u**5. Suppose z(a) = 0. What is a?
-1, -2/5, 0
Let d = 73/5 + -1523/105. Let s(r) be the first derivative of 0*r + 1 + 1/14*r**4 - d*r**3 + 0*r**2. Determine b, given that s(b) = 0.
0, 1
Let a(h) be the third derivative of -h**8/6720 - h**7/1680 + h**5/20 - 2*h**2. Let v(t) be the third derivative of a(t). Find s such that v(s) = 0.
-1, 0
Let m(w) be the second derivative of w**4/30 + w**3/5 + 2*w**2/5 + 134*w. Factor m(b).
2*(b + 1)*(b + 2)/5
Let w = -189436/5 + 37900. Let w*y**5 + 96/5*y**4 - 36/5*y - 4/5 - 92/5*y**2 - 28/5*y**3 = 0. Calculate y.
-1, -1/4, 1
Let f(u) be the third derivative of u**5/15 - u**4/3 + 38*u**2. What is s in f(s) = 0?
0, 2
Let f = 29 - 27. Factor 7 - 15*k + 6*k**f - 18*k**2 + 6 - 3*k**3 - 19.
-3*(k + 1)**2*(k + 2)
Let z(y) be the third derivative of 0*y**4 + 1/10*y**5 + 1/112*y**8 - 9*y**2 - 1/35*y**7 + 0*y**3 - 1/40*y**6 + 2*y + 0. Factor z(i).
3*i**2*(i - 2)*(i - 1)*(i + 1)
Let k(h) be the second derivative of -2*h**6/105 + h**5/7 + 2*h**4/7 - 6*h - 27. Solve k(u) = 0.
-1, 0, 6
Let i(j) = -j - 6. Let v be i(-14). Suppose -2*t + v*t = 0. Find f such that -2/9*f**2 + 0*f - 4/3*f**4 + t - 10/9*f**3 = 0.
-1/2, -1/3, 0
Let v(b) be the first derivative of 3*b**4/28 + 29*b**3/21 + 65*b**2/14 - 25*b/7 + 175. Determine z so that v(z) = 0.
-5, 1/3
Let k = -167 - -172. Let x(z) be the second derivative of 0*z**2 - 5*z - 1/21*z**3 - 1/105*z**6 + 0 - 3/70*z**k - 1/14*z**4. Let x(d) = 0. What is d?
-1, 0
Let x(p) = 8*p**3 + p**2. Let b be x(1). Factor -2*j + 4*j**3 - 8*j**3 - 4*j**4 - 11*j**2 - b*j**3.
-j*(j + 1)*(j + 2)*(4*j + 1)
Let n(z) = -z**3 + 10*z**2 - 10*z + 9. Let f be n(9). Suppose 2*t - 20 + 8 = f. Solve -t*r**4 + 18*r**3 + 3*r + 5*r**5 - 2*r**5 - 6*r**4 - 12*r**2 = 0 for r.
0, 1
Let r be 9/3 + 2/(-2). Suppose -162 = 19*v - 28*v. Factor v + b**r - 6*b**2 - 13.
-5*(b - 1)*(b + 1)
Let -5*m**4 - 25*m**2 + 6835*m**3 - 10*m - 20*m**5 + 0*m**4 - 6775*m**3 = 0. Calculate m.
-2, -1/4, 0, 1
Let m be 3/(-90)*-5 - (-178)/12. Suppose -7*l = -m - 6. Find f, given that -2/11*f**l + 2/11*f**4 - 2/11*f**2 + 2/11*f + 0 = 0.
-1, 0, 1
Let g(p) = -p**3 - p**2 - 1. Let h(x) = -x**3 - 6*x**2 - 5*x + 4. Let r be h(-5). Let f(d) = 3*d**3 + 5*d**2 + 5*d + 7. Let m(a) = r*g(a) + f(a). Factor m(c).
-(c - 3)*(c + 1)**2
Suppose 121*l**3 - 70*l**3 - 166 + 145*l**3 - 16*l**4 + 704*l - 4*l**4 - 90 - 624*l**2 = 0. What is l?
4/5, 1, 4
Let g(q) = q**2 - 8*q + 1. Let l be g(9). Suppose -5*c = 2*s - 2*c - 4, -2*c + l = 5*s. Factor -s*h - 3*h + 7*h - 2*h**3.
-2*h*(h - 1)*(h + 1)
Determine s, given that 0*s + 32/7*s**3 + 10/7*s**2 + 0 + 4/7*s**5 + 26/7*s**4 = 0.
-5, -1, -1/2, 0
Factor -3/7*f**2 + 6/7*f + 9/7.
-3*(f - 3)*(f + 1)/7
Let i(u) be the third derivative of -u**6/660 + u**4/44 + 2*u**3/33 + 110*u**2. Solve i(k) = 0.
-1, 2
Find o, given that -42/5*o + 441/5 + 1/5*o**2 = 0.
21
Let s be 2/108*9 + 17/6. Determine z so that 3/5*z**2 + 0 + 0*z + 1/5*z**s = 0.
-3, 0
Let n(x) = -x**2 + 15*x - 1. Let a(p) = -8*p**2 + 40*p + 7. Let h(v) = -a(v) + 5*n(v). Determine i, given that h(i) = 0.
-12, 1/3
Let i(c) = -c**4 + c**3 + 2*c**2 + c - 1. Let z(p) = 11*p**4 - 71*p**3 + 43*p**2 + 59*p - 54. Let w(x) = 6*i(x) + z(x). Factor w(j).
5*(j - 12)*(j - 1)**2*(j + 1)
Factor -108*k - 54 - 41/2*k**3 - 21/8*k**4 - 72*k**2 - 1/8*k**5.
-(k + 1)*(k + 2)*(k + 6)**3/8
Solve 12/13*c + 0 + 18/13*c**4 + 42/13*c**3 + 38/13*c**2 + 2/13*c**5 = 0 for c.
-6, -1, 0
Suppose 2*g + 26 = 3*g - 2*o, -3*g - o + 92 = 0. Let x be (-12)/60 - (-26)/g. Factor -x + h**2 + 5/3*h.
(h + 2)*(3*h - 1)/3
Let y(x) be the third derivative of x**8/588 + x**7/1470 - x**6/30 - 31*x**5/420 - x**4/28 - x**2 - 5. What is i in y(i) = 0?
-2, -1, -1/4, 0, 3
Let j(l) be the second derivative of -l**8/96 - l**7/84 + l**6/120 + 5*l**2/2 + 30*l. Let f(d) be the first derivative of j(d). Factor f(u).
-u**3*(u + 1)*(7*u - 2)/2
Let p(g) be the third derivative of -g**6/120 - g**5/12 + g**4/4 + 4*g**3/3 + 4*g**2. Let n be p(-6). Factor n*d - 2*d**3 + 1 - 10*d - 1 - 4*d**2.
-2*d*(d + 1)**2
Let i(b) be the first derivative of -b**8/4480 + 3*b**7/2240 - b**6/480 - b**3 + 21. Let v(u) be the third derivative of i(u). Factor v(x).
-3*x**2*(x - 2)*(x - 1)/8
Let j(m) be the first derivative of 1/20*m**5 + 0*m - 3/8*m**4 + 5 - 1/2*m**2 + 3/4*m**3. Factor j(n).
n*(n - 4)*(n - 1)**2/4
Let j be 0 + 2/1 - 0. Let w(m) = -4*m - 110. Let f be w(-28). Factor 8*g**3 + 3*g**2 - g**j + g**f - 5*g**3.
3*g**2*(g + 1)
Let q(k) = 7*k**3 + 17*k**2 - 21*k - 7. Let c(n) = 8*n**3 + 15*n**2 - 21*n - 8. Let j(v) = 2*c(v) - 3*q(v). Factor j(u).
-(u - 1)*(u + 5)*(5*u + 1)
Let z(x) be the second derivative of -3/40*x**5 - 1/20*x**6 + 3/2*x**2 + 5/4*x**3 - 14*x + 3/8*x**4 + 0. Determine f so that z(f) = 0.
-1, 2
Let h be (0 - (-639)/5) + 1/5. Let b be h/30 + 28/(-42). Determine l so that -24/5*l**3 - 2*l**4 - 4/5*l + 0 - b*l**2 = 0.
-1, -2/5, 0
Let k(g) be the third derivative of g**9/90720 + g**5/10 - 8*g**2. Let q(n) be the third derivative of k(n). Factor q(m).
2*m**3/3
Let w(m) be the first derivative of -12*m**2 - 9 - 32*m - 4/3*m**3. Solve w(f) = 0.
-4, -2
Let 182/9*c - 184/9 + 2/9*c**2 = 0. Calculate c.
-92, 1
Let d = -40/19 + 299/133. Let b(z) be the first derivative of -2 + 8/21*z**3 + 0*z**2 + d*z**4 + 0*z - 4/35*z**5. Factor b(f).
-4*f**2*(f - 2)*(f + 1)/7
Let x(h) = -35*h**2 + 2190*h - 79935. Let p(f) = -24*f**2 + 1460*f - 53290. Let i(d) = -10*p(d) + 7*x(d). Factor i(a).
-5*(a - 73)**2
Let v be (-14)/(-32)*-14 + 53/424. Let t(h) = 5*h + 33. Let w be t(v). Factor 1/3 + a**2 + 1/3*a**w + a.
(a + 1)**3/3
Let o(c) be the second derivative of c**6/6 - 41*c**5/20 + 10*c**4 - 74*c**3/3 + 32*c**2 + 373*c + 2. Factor o(j).
(j - 2)**2*(j - 1)*(5*j - 16)
Let v = 13 + -9. Factor 12*o**2 + 49*o**4 + v*o**3 - 8 - 101*o**4 + 48*o**4 - 4*o.
-4*(o - 2)*(o - 1)*(o + 1)**2
Factor 24*x - 10*x**2 - 32 - 16*x**3 + 2*x**2 + 12*x**3 + 20*x**2.
-4*(x - 4)*(x - 1)*(x + 2)
Let c(q) be the third derivative of 0*q + 0 - 196/9*q**3 + 37*q**2 - 1/90*q**5 - 7/9*q**4. Determine k so that c(k) = 0.
-14
Let l(j) = 18*j - 303. Let d be l(17). Let b(g) be the first derivative of 5*g - 5/9*g**d + 9 + 5/3*g**2. Find t, given that b(t) = 0.
-1, 3
Suppose 17*v - 52 = 33. Let o(g) be the third derivative of -1/78*g**4 + 0 + 1/39*g**3 + 0*g + 1/390*g**v - g**2. Factor o(m).
2*(m - 1)**2/13
Let p(k) be the first derivative of -2/5*k + 1/25*k**5 - 3/20*k**4 + 3/10*k**2 + 1/15*k**3 - 21. Let p(w) = 0. Calculate w.
-1, 1, 2
Let -2*g**2 - 355*g + 567 - 3*g**2 - 207 = 0. Calculate g.
-72, 1
Let x(h) be the second derivative of -4*h**7/21 - 34*h**6/15 + 29*h**5/5 - 10*h**4/3 - 11*h - 7. Find l such that x(l) = 0.
-10, 0, 1/2, 1
Let j be (4/(-14))/(-10 - 84/(-12)). Determine c so that -2/3*c - 10/21*c**2 - 2/7 - j*c**3 = 0.
-3, -1
Let s(u) be the first derivative of -15*u**7/28 + u**6/4 - u**5/30 + 2*u**2 + 13. Let x(q) be the second derivative of s(q). Solve x(l) = 0.
0, 2/15
Suppose -13*k + 10*k - 9 = 0. Let l be 2/((-14)/7) - k. Factor 1/2 - 2/3*q + 1/6*q**l.
(q - 3)*(q - 1)/6
Let j = 23/5 - 137/30. Let m(g) be the third derivative of 2/9*g**3 - 1/36*g**4 + 0*g + 0 - 8*g**2 - j*g**5