).
k*(k - 3)*(k - 1)*(k + 1)
Let l(g) = -g**2. Let w(v) = -v**3 + 3*v**2 + 5*v + 2 - 5*v**2 + 0 + 2*v**3. Let b(a) = 6*l(a) - w(a). Factor b(y).
-(y + 1)**2*(y + 2)
Determine j, given that -9/2*j**4 + 0 + 5/2*j**2 - 1/2*j - 3/2*j**3 = 0.
-1, 0, 1/3
Let y(b) be the second derivative of 0 + 2/3*b**3 + 3*b + 1/60*b**5 + b**2 + 1/6*b**4. Let u(c) be the first derivative of y(c). Suppose u(x) = 0. Calculate x.
-2
Let g(t) be the second derivative of t**7/840 - t**6/80 + t**5/20 + t**4/4 + 5*t. Let d(c) be the third derivative of g(c). Suppose d(f) = 0. Calculate f.
1, 2
Suppose -32*n + 10 = -27*n. Suppose 2/11*u + 0 - 8/11*u**3 - 6/11*u**n = 0. Calculate u.
-1, 0, 1/4
Let d(q) = -q**4 - q**3. Let u(j) = -j**4 - 3*j**3 - 2*j**2. Let p(v) = 10*d(v) - 5*u(v). Factor p(h).
-5*h**2*(h - 2)*(h + 1)
Suppose 16 = 2*n + 3*z, -3*n - 3*z = -8*n + 19. Let m(v) = v**2 - v. Let h be m(2). Factor -5*w + 6*w**h - 8 - 2*w**3 + n*w.
-2*(w - 2)**2*(w + 1)
Determine c so that 1/2*c**3 + 0 + c + 3/2*c**2 = 0.
-2, -1, 0
Let m = -1031 + 2065/2. Find i, given that 0*i + 0*i**2 - m*i**4 + 0 + 0*i**3 = 0.
0
Suppose 24*y - 9 = 21*y. Let h = -2 + 2. Factor 0 - 4/3*q**y + 0*q - 14/3*q**4 + h*q**2.
-2*q**3*(7*q + 2)/3
Let u(a) be the second derivative of -a**4/18 + a**3/9 - 6*a. Factor u(z).
-2*z*(z - 1)/3
Factor 2*j**4 + 4/3 - 6*j - 22/3*j**3 + 10*j**2.
2*(j - 1)**3*(3*j - 2)/3
Let j(x) = 51*x**3 + 72*x**2 - 50*x + 10. Let v(c) = 103*c**3 + 145*c**2 - 99*c + 21. Let q(f) = -10*j(f) + 4*v(f). Factor q(k).
-2*(k + 2)*(7*k - 2)**2
Let n(o) = -9*o**2 - 4*o + 5. Let u(c) = c**2 + c - 1. Let m(w) = -5*n(w) - 40*u(w). Factor m(j).
5*(j - 3)*(j - 1)
Let z be 0/(16/(-4) - -3). Let u(n) be the third derivative of -1/1008*n**8 + 0*n + 0*n**6 - 1/630*n**7 + 0 + 0*n**3 + 0*n**5 + z*n**4 - 2*n**2. Factor u(i).
-i**4*(i + 1)/3
Let a(s) be the second derivative of -4/135*s**6 + 1/189*s**7 - 5*s - 2/27*s**4 + 1/27*s**3 + 1/15*s**5 + 0 + 0*s**2. Factor a(m).
2*m*(m - 1)**4/9
Let h(x) be the second derivative of -x**4/54 - 5*x**3/27 - 2*x**2/3 + 33*x. Factor h(v).
-2*(v + 2)*(v + 3)/9
Let y(b) be the third derivative of -b**6/420 - b**5/210 - 17*b**2. What is v in y(v) = 0?
-1, 0
Let q = -4 - -7. Determine p, given that p - 6*p**2 + 3*p - 4*p**3 + 6*p**q = 0.
0, 1, 2
Let l be (-13)/((-715)/10) + 5/(-88). Let 0 + 1/8*f**3 + 0*f - l*f**2 = 0. Calculate f.
0, 1
Let b(s) be the third derivative of 0*s + 4*s**2 + 1/360*s**6 + 1/6*s**4 - 1/6*s**3 + 0 - 1/30*s**5. Let c(i) be the first derivative of b(i). Factor c(p).
(p - 2)**2
Let y(k) = -3*k**2 + 9*k + 14. Let r be y(4). Suppose 2/7*f**4 + 2/7 + 8/7*f**3 + 12/7*f**r + 8/7*f = 0. Calculate f.
-1
Let j = -27 + 30. Factor 0*a**2 - 6/5*a + 2/5*a**j + 4/5.
2*(a - 1)**2*(a + 2)/5
Let s(g) be the third derivative of -10*g**8/63 + 32*g**7/315 + g**6/12 - 17*g**5/180 + g**4/36 - 63*g**2. Solve s(x) = 0 for x.
-1/2, 0, 1/4, 2/5
Let g(n) be the third derivative of n**6/48 + n**5/40 - n**4/24 + 7*n**2. Solve g(k) = 0 for k.
-1, 0, 2/5
Let b(v) be the second derivative of 1/6*v**4 + 1/3*v**3 + 0 - 2*v - 2*v**2. Factor b(l).
2*(l - 1)*(l + 2)
Find d, given that 2*d**3 + 4*d**2 + 35 - 4*d - 47 - 6*d = 0.
-3, -1, 2
Let m(c) be the first derivative of 2/9*c**2 + 2/27*c**3 + 4 + 2/9*c. Determine r, given that m(r) = 0.
-1
Let f = 9 + -7. Factor 5 - 4 + f + 3*o**2 - 6*o.
3*(o - 1)**2
Factor -48*x - 12*x - 32 - 12*x**3 + 2*x**2 + 102*x**2.
-4*(x - 8)*(x - 1)*(3*x + 1)
Let n(g) = -5*g**4 + 4*g**2 + 3*g - 5. Let k be (0 + -8)*2/2. Let z(x) = -14*x**4 + 12*x**2 + 8*x - 14. Let v(c) = k*n(c) + 3*z(c). Find a such that v(a) = 0.
-1, 1
Let a(i) = -3*i**3 - 53*i**4 + 27*i**2 - 12*i**3 + 26*i**4 + 3 + 18*i. Let s(t) = -t**3 - t**2. Let b(f) = a(f) + 3*s(f). What is h in b(h) = 0?
-1, -1/3, 1
Let w(t) be the third derivative of -t**7/105 - t**6/15 + 17*t**2. Factor w(i).
-2*i**3*(i + 4)
Suppose -6*n + 3*n - 4*k - 24 = 0, -n + 2 = -2*k. Let u(f) = -f. Let t be u(n). Find p such that -p**t - p**3 + 2*p**5 - 3*p**5 + 3*p**4 = 0.
0, 1
Factor 16/7 - 24/7*a + 12/7*a**2 - 2/7*a**3.
-2*(a - 2)**3/7
Solve -4/7*g**4 + 1/7*g**5 + 4/7*g**2 + 0 - 4/7*g + 3/7*g**3 = 0.
-1, 0, 1, 2
Let s = -472/5 - -98. Let 56/5*c - s*c**5 - 38/5*c**3 + 16/5 - 12*c**4 + 44/5*c**2 = 0. What is c?
-2, -1, -2/3, 1
Let d(u) be the first derivative of u**7/7 - 2*u**6/15 - 2*u**5/5 + u**4/3 + u**3/3 - u - 3. Let x(c) be the first derivative of d(c). What is k in x(k) = 0?
-1, -1/3, 0, 1
Let w(k) be the first derivative of -k**4/7 - 2*k**3/7 - k**2/7 + 3. Find g such that w(g) = 0.
-1, -1/2, 0
Let 12*b**4 + 57*b**5 - 18*b**3 + 8*b**2 + 4*b**4 - 2*b**3 - 61*b**5 = 0. Calculate b.
0, 1, 2
Let s(o) be the second derivative of -o**9/4536 - o**8/2520 + o**7/1260 + o**6/540 - o**3/6 + 4*o. Let q(j) be the second derivative of s(j). Factor q(k).
-2*k**2*(k - 1)*(k + 1)**2/3
Suppose 0*m - 8 = -4*m. Suppose 1 - 72*k + k**4 - m*k**2 + 72*k = 0. Calculate k.
-1, 1
Let y(f) = 2*f**2 + 3*f - 9. Let a be 8*(0 - 4/8). Let m(b) = -2*b**2 - 2*b + 8. Let u(v) = a*y(v) - 5*m(v). Find o such that u(o) = 0.
-1, 2
Find r such that 0*r**4 + 0 + 3/2*r**3 + 0*r + r**2 - 1/2*r**5 = 0.
-1, 0, 2
Suppose 2*r**2 - 2*r**5 + 2*r**3 + 7*r**3 - r**5 - 8*r**2 = 0. What is r?
-2, 0, 1
Let a = -39 + 69. Suppose -3*y = -0*y - a. Factor 4*j - 4*j**2 - 4*j**4 - y*j**3 - 4*j.
-2*j**2*(j + 2)*(2*j + 1)
Let b(t) = -t**2. Let s be b(1). Let h be s - (-5)/((-5)/(-3)). Suppose h*k**4 - 2*k**4 + 2*k**5 + 2*k**3 + 4*k**4 = 0. Calculate k.
-1, 0
Let -2*w**4 - 183 - 5*w**3 + 0*w**2 + 175 + 0*w**2 + 4*w + 10*w**2 + w**5 = 0. What is w?
-2, -1, 1, 2
Let g(t) be the second derivative of t**5/40 - t**3/4 + t**2/2 - 14*t. Find s, given that g(s) = 0.
-2, 1
Let c(a) = -2*a**4 - a**2 + 3. Let h(p) = 2*p**4 + 2*p**2 - 4. Suppose -3*o + 4*o = -6. Let d(g) = o*c(g) - 5*h(g). Factor d(z).
2*(z - 1)**2*(z + 1)**2
Let q(f) be the second derivative of f**4/4 - f**3/2 + 2*f. Solve q(a) = 0.
0, 1
Let t = 2 - -5. Factor 1 + 2 + 3*o**3 - 4*o - 3*o**2 - 6*o**3 + t*o.
-3*(o - 1)*(o + 1)**2
Let j(n) be the third derivative of 0*n**4 + 1/60*n**6 + 0 + 1/105*n**7 - 3*n**2 + 0*n**3 + 0*n + 0*n**5. Let j(f) = 0. What is f?
-1, 0
Let c(t) be the third derivative of t**9/90720 - t**8/15120 - t**7/7560 + t**6/540 - t**5/10 + 6*t**2. Let p(g) be the third derivative of c(g). Factor p(z).
2*(z - 2)*(z - 1)*(z + 1)/3
Let t be 3/70*3684/(-9). Let d = t - -134/7. Suppose -8/5*r - d - 2/5*r**2 = 0. What is r?
-2
Suppose 0 = 6*n - 218 + 206. Let y + 0*y**n - 1/2*y**4 - y**3 + 1/2 = 0. What is y?
-1, 1
Let b = -14 - -17. Let f(p) = -3*p**3 + 3*p**2 - 9*p - 5. Let h(a) = -2*a**3 + 2*a**2 - 5*a - 3. Let u(q) = b*f(q) - 5*h(q). Let u(n) = 0. Calculate n.
-1, 0, 2
Suppose -4*y = -3*y - 19. Let m = 23 - y. What is r in 1/2 + 12*r**3 + 11*r**2 + 9/2*r**4 + m*r = 0?
-1, -1/3
Factor 1/2*s - 1/2*s**3 - 1/2*s**2 + 1/2.
-(s - 1)*(s + 1)**2/2
Suppose 0 = 4*r - 3*u - 5 + 1, 0 = -5*r - 5*u + 5. Suppose -3*j**2 - 2 + 0 + 4 + r = 0. Calculate j.
-1, 1
Let f be -1*2 - 8749/(-4368). Let a(g) be the third derivative of -1/60*g**5 + 0*g + 0*g**4 - 1/70*g**7 + f*g**8 + 1/40*g**6 + 0*g**3 + 0 - g**2. Factor a(s).
s**2*(s - 1)**3
Factor 0*w + 3/4*w**2 + 0.
3*w**2/4
Let y(d) be the second derivative of -5*d**5/16 + 5*d**4/8 + 3*d**3/2 + d**2 - 18*d. Factor y(i).
-(i - 2)*(5*i + 2)**2/4
Factor -1/7 - 3/7*p + 4/7*p**2.
(p - 1)*(4*p + 1)/7
Let z(l) be the first derivative of l**6/330 + l**5/110 + l**4/132 - 2*l**2 - 2. Let k(r) be the second derivative of z(r). Let k(d) = 0. What is d?
-1, -1/2, 0
Let r = 15 - 17. Let l be (-5)/((-90)/(-32)) - r. Solve 2/9 - l*j**2 + 0*j = 0.
-1, 1
Let h(z) be the first derivative of -50*z**5 - 140*z**3 + 68*z**2 - 16*z + 275/2*z**4 + 2. Find q, given that h(q) = 0.
2/5, 1
Let v(d) be the first derivative of d**5/90 + d**4/27 + d**3/27 - d - 2. Let c(a) be the first derivative of v(a). Factor c(m).
2*m*(m + 1)**2/9
Let c(r) = -2*r - 16. Let n be c(-9). Let s(q) be the first derivative of 3 - q - 3*q**4 - 4/5*q**5 - 3*q**n - 13/3*q**3. Factor s(j).
-(j + 1)**2*(2*j + 1)**2
Solve 2*k + 0*k + 8*k**2 + k - 36 - 2*k**3 + 3*k = 0.
-2, 3
Let t(r) = -9*r**2 - 14*r + 10. Let m(j) = 36*j**2 + 57*j - 39. Let u(o) = -2*m(o) - 9*t(o). Determine x so that u(x) = 0.
-2, 2/3
Suppose x - 4 = -1. Factor k*