ne a so that 8*a**2 - 15*a + 19 - 2*a**2 - 1 - 3*a**2 = 0.
2, 3
Let r(w) = 8*w**3 - 4*w**2 - 20*w + 16. Let s(q) = q**3 - q. Let z(g) = -r(g) + 4*s(g). Factor z(x).
-4*(x - 2)*(x - 1)*(x + 2)
Factor 41 + 5*p - 2*p**2 - 10*p**3 + 2*p**5 - 49 + 11*p + 2*p**4.
2*(p - 1)**3*(p + 2)**2
Let c(p) = 3*p + 0*p**2 + p**2 - 5*p - 1. Let u be c(3). Find k such that -3*k**2 + k**2 + 4*k**u = 0.
0
Determine p so that 7*p**2 - 5*p**2 + 4*p**3 + 0*p**2 + 2*p**4 = 0.
-1, 0
Let b(p) be the third derivative of -p**5/100 - p**4/20 - 3*p**2 - 14. Factor b(r).
-3*r*(r + 2)/5
Let d be 21/(-14)*4/6. Let x be (-1)/d - (-3 + 4). Factor 0 - 2/3*y**4 + 0*y**3 + 0*y + x*y**2.
-2*y**4/3
Let k(l) be the first derivative of l**4/16 + l**3/3 + 5*l**2/8 + l/2 + 6. Factor k(f).
(f + 1)**2*(f + 2)/4
Let t(x) be the second derivative of 0*x**3 + 0*x**2 - 4*x + 0 + 0*x**6 + 1/30*x**4 - 1/210*x**7 + 3/100*x**5. Factor t(k).
-k**2*(k - 2)*(k + 1)**2/5
Let v = 599/6 - 197/2. Factor v*n + 0 - 16/3*n**2.
-4*n*(4*n - 1)/3
Factor 7/3*d**3 + 2/3*d + 0 - 2/3*d**4 - 7/3*d**2.
-d*(d - 2)*(d - 1)*(2*d - 1)/3
Let y(j) be the first derivative of -4*j**5/25 - 11*j**4/20 - 3*j**3/5 - j**2/10 + j/5 + 29. Find q, given that y(q) = 0.
-1, 1/4
Let a = -16 + 20. Factor -3 - 3*c**2 - 10*c + a*c + 0*c.
-3*(c + 1)**2
Let m = -7/11 + 57/55. Suppose 0*p - 4/5*p**2 + 0*p**3 + 2/5 + m*p**4 = 0. What is p?
-1, 1
Let l(b) be the second derivative of b**5/150 + b**4/20 + 2*b**3/15 + b**2 + b. Let c(h) be the first derivative of l(h). Find o such that c(o) = 0.
-2, -1
Let m = -3959/7 + 569. Find o such that -10/7*o**2 + 18/7*o**4 + 24/7*o - m*o**3 - 8/7 = 0.
-1, 2/3, 1
Let h be -3*(-1)/(-1) - -3. Let y be 6*1 - (h - -2). Factor 0*a - 4/3*a**y + 1/3*a**2 - a**3 + 0.
-a**2*(a + 1)*(4*a - 1)/3
Let p(b) be the second derivative of b**7/14 - 13*b**6/30 + 11*b**5/10 - 3*b**4/2 + 7*b**3/6 - b**2/2 - 20*b. Factor p(h).
(h - 1)**4*(3*h - 1)
Let t(m) be the third derivative of m**8/840 - m**7/105 + m**6/150 + 7*m**5/75 - m**4/20 - 3*m**3/5 + 2*m**2. Determine g so that t(g) = 0.
-1, 1, 3
Let k(y) be the first derivative of y**7/105 - y**6/15 + y**5/6 - y**4/6 - 4*y**2 + 6. Let o(x) be the second derivative of k(x). Let o(n) = 0. Calculate n.
0, 1, 2
Let a(y) be the second derivative of y**5/10 + 7*y**4/2 + 49*y**3 + 343*y**2 + 22*y. Find l such that a(l) = 0.
-7
Let s(b) be the second derivative of -1/20*b**5 - 1/2*b**3 + 0 - 1/2*b**2 - 1/4*b**4 - 4*b. Determine n, given that s(n) = 0.
-1
Let a(j) = -j**2 + 8*j + 9. Let k be a(8). Suppose 0*w - k = -3*w. Factor 1/2 - 5/4*l + l**2 - 1/4*l**w.
-(l - 2)*(l - 1)**2/4
Let h(y) be the third derivative of 1/120*y**5 + 0*y - 1/24*y**3 + 0 + 1/96*y**4 - 1/240*y**6 - 1/840*y**7 - y**2 + 1/1344*y**8. Determine v so that h(v) = 0.
-1, 1
Let y(a) = 4*a**2 - a + 3. Let x(z) = 3*z**2 - 2*z + 3. Let k(b) = 3*x(b) - 2*y(b). Suppose k(w) = 0. Calculate w.
1, 3
Suppose -4*b + 16 = -4*t, -2*b - 2*t - 5 - 3 = 0. Suppose 0 = -4*d - 2*s - 2, 3*d + 4*s = -b*s - 14. Factor 3*k**3 + k**3 + k**2 - 3*k**2 - d*k**3.
2*k**2*(k - 1)
Let k(o) be the first derivative of 0*o**4 - 1/6*o**6 + 0*o - 2/3*o**3 + 3 + 1/2*o**2 + 2/5*o**5. Factor k(z).
-z*(z - 1)**3*(z + 1)
Determine p so that 4*p + 8/5 + 16/5*p**2 + 4/5*p**3 = 0.
-2, -1
Let p = 26 - 23. Suppose p*s - 21 = -4*s. Suppose t**s - 2*t**2 - 1/6*t**4 - 1/2 + 5/3*t = 0. Calculate t.
1, 3
Let b be -1*((-16)/9 - (-2)/(-9)). Let u(f) be the second derivative of 0*f**b + 0 + f + 1/6*f**3 + 1/24*f**4. What is m in u(m) = 0?
-2, 0
Let y = -35 - -55. Suppose -3*f = -a + y, -3*a + 51 = -5*f + 11. Find i, given that i**a + 10*i**3 - 5*i**3 + 12*i**2 + 4*i + 8*i**3 + 0*i**5 + 6*i**4 = 0.
-2, -1, 0
Factor -3*j**3 + 11 - 451*j**2 + 15*j - 2 + 454*j**2.
-3*(j - 3)*(j + 1)**2
Let 4*w**3 + 17*w + 12*w + w**3 - 9*w - 20*w**2 = 0. Calculate w.
0, 2
Let g(s) be the second derivative of 4*s**6/35 + 31*s**5/70 + 9*s**4/14 + 3*s**3/7 + s**2/7 + 49*s. Determine f, given that g(f) = 0.
-1, -1/3, -1/4
Let f = -509/6 - -85. Let g(z) be the second derivative of -z - 1/2*z**2 + f*z**4 + 0 + 1/6*z**3. Factor g(v).
(v + 1)*(2*v - 1)
Let d(l) be the second derivative of -l**7/5040 + l**4/12 - 2*l. Let k(m) be the third derivative of d(m). Factor k(z).
-z**2/2
Let a(v) be the first derivative of 12*v**3 - 22*v**2 + 8*v + 9. Solve a(u) = 0.
2/9, 1
Let p(h) be the second derivative of h**5/40 - h**4/24 - 2*h**3/3 + 3*h**2 + 22*h. Let p(l) = 0. Calculate l.
-3, 2
Let j = 39/92 - 4/23. Let p(t) be the first derivative of 4 - 3/2*t**2 - t - j*t**4 - t**3. Determine k, given that p(k) = 0.
-1
Factor -2*q**4 + 0*q**3 + 0*q**3 + q**3 + 3*q**3.
-2*q**3*(q - 2)
Factor 0 + 3*b**4 + 0*b - 12/7*b**3 + 0*b**2.
3*b**3*(7*b - 4)/7
Suppose 4*i + 766 = 3*h, 4*i + 4*h + 756 = 2*h. Let m be (10/(-25))/(6/i). Factor 2/3*u - 4/3 + 14/3*u**4 + m*u**3 + 10*u**2.
2*(u + 1)**3*(7*u - 2)/3
Let m(u) be the third derivative of 0 + 1/150*u**5 - 1/20*u**4 + 0*u + 2/15*u**3 - 2*u**2. Let m(l) = 0. What is l?
1, 2
Let i be (3/(-14))/((-6)/8). Factor 2/7*v**3 - 2/7*v - 2/7*v**2 + i.
2*(v - 1)**2*(v + 1)/7
Let t(r) be the third derivative of -r**5/20 + r**4/8 + r**3 + 10*r**2. Suppose t(b) = 0. Calculate b.
-1, 2
Factor -2/11*d**3 + 18/11 + 14/11*d**2 - 30/11*d.
-2*(d - 3)**2*(d - 1)/11
Let a(r) be the second derivative of r**7/273 + r**6/65 - 2*r**4/39 - 21*r. Factor a(n).
2*n**2*(n - 1)*(n + 2)**2/13
What is s in -1/2*s - 1/2*s**3 - 2*s**2 + 3 = 0?
-3, -2, 1
Determine g so that -6 - 22 - 2*g**2 - 32*g - 2*g**2 + 0 = 0.
-7, -1
Suppose 5 - 23*a**2 + 10*a**3 - 9 + 25*a - 3*a**3 - 5*a = 0. What is a?
2/7, 1, 2
Let t be (-14)/(-3) - (4 - 0). Solve -t*k**3 + 0*k**2 + k**4 + 0 + 0*k - 1/3*k**5 = 0 for k.
0, 1, 2
Let p(q) = 6*q**2 + 52*q - 14. Let v(l) = -2*l**2 - 17*l + 5. Let o(x) = -5*p(x) - 14*v(x). Determine a, given that o(a) = 0.
-11, 0
Let j(f) be the third derivative of f**9/7560 - f**8/1680 + f**6/180 - f**5/60 - 3*f**4/8 - 11*f**2. Let z(a) be the second derivative of j(a). Factor z(m).
2*(m - 1)**3*(m + 1)
Let h be ((4 + -1)*-1)/(-1). Let o(k) be the third derivative of 1/240*k**6 - 1/60*k**5 + 1/48*k**4 + 0 + 0*k**h + 0*k - k**2. Factor o(a).
a*(a - 1)**2/2
Let t be 40/(-45)*(-53 - -2). Let o = 46 - t. Solve -o*b - 1/3*b**2 + 0 = 0.
-2, 0
Let f(n) = 0*n**2 - n**2 - 2*n + n**3 - 2*n**3 + 5*n**2. Let w be f(3). Determine b so that -4*b**4 - 14*b**5 - 1 + 14*b**w + 4*b**2 + 1 = 0.
-1, -2/7, 0, 1
Suppose 2*i + i + 2*f - 19 = 0, -5*f = -3*i - 16. Suppose 2*n = i*n - 2. Find k, given that -4/5*k - 2/5*k**4 + 4/5*k**3 + 0*k**n + 2/5 = 0.
-1, 1
Suppose -4/5*o**2 + 1/5*o**3 + 3/5*o + 0 = 0. Calculate o.
0, 1, 3
Let w(x) = 3*x + 54. Let n be w(-18). Determine l, given that n*l - 1/4*l**2 + 1/4 = 0.
-1, 1
Let j(h) be the first derivative of h**3/3 + 5*h**2/2 - 6*h + 1. Let s be j(-6). What is m in 2*m**3 + s*m**3 + 3*m**4 - 4*m**4 - m**2 = 0?
0, 1
Let j(q) = q**3 - q**2 - q + 1. Let b(c) = -8*c**3 + 12*c**2 + 4*c - 4. Let d(l) = b(l) + 4*j(l). Solve d(z) = 0 for z.
0, 2
Let v = 103/15 - 31/5. Factor 0 - 2/9*b**5 + v*b**3 - 8/9*b - 8/9*b**2 + 4/9*b**4.
-2*b*(b - 2)**2*(b + 1)**2/9
Let m(z) be the first derivative of 0*z**2 + 1/10*z**6 + 0*z - 7 - 2/5*z**3 + 3/4*z**4 - 12/25*z**5. Let m(p) = 0. What is p?
0, 1, 2
Let c be (2/(-3))/(2 - 3). Find t, given that -c*t**3 + 0 + 2/3*t**2 + 0*t = 0.
0, 1
Let m = -13 + 16. Let i = m + -1. Factor 1/4*z**3 + 0 + 1/2*z**i + 1/4*z.
z*(z + 1)**2/4
Let p(r) be the first derivative of -r - 1/20*r**5 - 13/12*r**3 + 3/8*r**4 + 3/2*r**2 + 5. Suppose p(a) = 0. What is a?
1, 2
Let f = -9/5 + 37/15. Solve -f*n**4 + 2/3 + 4/3*n + 0*n**2 - 4/3*n**3 = 0 for n.
-1, 1
Suppose -5*q + 12 = 2*d - q, -4*q + 12 = -d. Let l(s) be the second derivative of -1/15*s**3 + 0 - 1/60*s**4 + d*s**2 + s. Find r, given that l(r) = 0.
-2, 0
Suppose z + z - 2 = 2*o, -23 = -2*z - 5*o. Determine c, given that -3*c**5 - 10*c**4 + 2*c**4 + 12*c**2 - c**z = 0.
-2, 0, 1
Let u(k) be the first derivative of 0*k + 2/3*k**3 + 3 + 1/2*k**4 - 2*k**2. Factor u(s).
2*s*(s - 1)*(s + 2)
Let r(x) be the second derivative of -x**5/20 - 7*x**4/18 - 4*x**3/9 + 6*x. Suppose r(y) = 0. Calculate y.
-4, -2/3, 0
Let h(t) be the first derivative of t**3/21 + 4*t**2/7 + 16*t/7 - 11. Solve h(u) = 0 for u.
-4
Factor 2*w**3 - 24*w**4 + 11*w**4