or q(l).
-2*l*(l - 1)*(l + 1)*(l + 2)
Let o be (-22)/66 + 10/3. Find u such that -2/7*u**5 + 6/7*u**4 - 6/7*u**o + 0 + 2/7*u**2 + 0*u = 0.
0, 1
Let h(m) = -m. Let d(p) = 3*p**2 + p. Let k(s) = -d(s) + 2*h(s). Factor k(l).
-3*l*(l + 1)
Let w(y) = 7*y**5 - 9*y**4 + 9*y**2 - 2*y - 5. Let r(u) = 3*u**5 - 4*u**4 + 4*u**2 - u - 2. Let q(p) = -10*r(p) + 4*w(p). Factor q(o).
-2*o*(o - 1)**3*(o + 1)
Let v(m) = 7*m**2 + 8*m - 11. Let n(o) = 4*o**2 + 4*o - 6. Let g(r) = -11*n(r) + 6*v(r). Factor g(b).
-2*b*(b - 2)
Let j(i) = -4*i**4 - i**3 - 4*i**2. Let h(y) = -5*y**4 - 2*y**3 - 5*y**2. Let c = 7 + -10. Let n(a) = c*h(a) + 4*j(a). Factor n(f).
-f**2*(f - 1)**2
Let n(l) be the second derivative of -3*l**5 + 145*l**4/12 - 20*l**3/3 - 10*l**2 + 13*l. Determine y, given that n(y) = 0.
-1/4, 2/3, 2
Let t(f) be the first derivative of -f**7/840 - f**6/360 + 2*f**3/3 - 3. Let k(c) be the third derivative of t(c). What is z in k(z) = 0?
-1, 0
Let u(f) = 2*f + 14. Let l be u(-8). Let o be (-8)/l - 0/1. Determine k so that 2/5*k + 2/5*k**2 + 0 - 2/5*k**3 - 2/5*k**o = 0.
-1, 0, 1
Let a be 10/(-8)*(-3 - -7). Let i = a - -7. Find p, given that p + 2 - 18*p**2 - 2*p + 17*p**i = 0.
-2, 1
Let y = 2 + 0. Factor 9*p - 7*p + p**y + 1 + 0*p**2.
(p + 1)**2
Let d(y) = 3*y**5 + 3*y**4 - 6*y**2 + 6*y. Let p(i) = -2*i**5 - 3*i**4 + 5*i**2 - 5*i. Let c(b) = 5*d(b) + 6*p(b). Determine o, given that c(o) = 0.
0, 1
Let j(g) be the second derivative of 0*g**3 + 0 - 1/78*g**4 + 1/13*g**2 + 4*g. Factor j(m).
-2*(m - 1)*(m + 1)/13
Let r(u) = 7*u + 11. Let f(z) = 11*z + 16. Let m(v) = -5*f(v) + 8*r(v). Let g be m(-5). Factor 16*j**2 + 8*j**3 + 2*j**4 + 6*j - j**2 - g*j**5 + j**3 - 5*j**4.
-3*j*(j - 2)*(j + 1)**3
Let j(w) = w**2 - w - 1. Let y(g) = -g**2 - 2*g + g**2 - 4 - 3*g**2 + 2. Let t(m) = 4*j(m) + 2*y(m). Factor t(l).
-2*(l + 2)**2
Suppose 75*i**3 + 44*i**4 - 13*i**4 - 10*i**2 - 10*i**4 + 64*i**4 = 0. Calculate i.
-1, 0, 2/17
Let a(w) be the second derivative of w**6/720 - w**5/60 + w**4/12 - w**3 + w. Let y(k) be the second derivative of a(k). Let y(t) = 0. Calculate t.
2
Let j(t) be the first derivative of -1/10*t**5 - 1/2*t**2 + 5/6*t**3 + 5 + 1/12*t**6 + 0*t - 3/8*t**4. Factor j(f).
f*(f - 1)**3*(f + 2)/2
Let a(c) = -6*c**3 + 2*c**2 + 12*c + 8. Let q(x) = -x**3 + x**2 + x. Let p(t) = a(t) - 4*q(t). Factor p(v).
-2*(v - 2)*(v + 1)*(v + 2)
Let v(r) be the third derivative of 0*r**3 + 1/504*r**8 - 1/36*r**5 + 0 - 1/90*r**7 + 3*r**2 + 1/72*r**4 + 1/40*r**6 + 0*r. Let v(o) = 0. Calculate o.
0, 1/2, 1
Suppose o - 5 = -1. Suppose 0 - 2/5*z**o + 4/5*z**3 - 2/5*z**2 + 0*z = 0. Calculate z.
0, 1
Factor -4/15*n**4 - 2/15*n**5 + 0*n**3 + 0 + 2/15*n + 4/15*n**2.
-2*n*(n - 1)*(n + 1)**3/15
Let r(k) be the third derivative of -k**6/160 - k**5/120 + k**4/32 + k**3/12 - 2*k**2 - 2*k. Factor r(d).
-(d - 1)*(d + 1)*(3*d + 2)/4
Suppose -3*n = -8 - 4. Factor 11*h**2 - 3*h**n - 8*h**2 - 2*h**3 - 3*h**5 + 5*h**3.
-3*h**2*(h - 1)*(h + 1)**2
What is t in 15*t**3 - 5*t**4 - 5*t**2 + 10 + 2*t + 2*t - 19*t = 0?
-1, 1, 2
Let p(b) = -b**2 + b - 1. Let d(i) = 7*i**2 + 8*i + 2. Let q(v) = -d(v) - 2*p(v). Determine n so that q(n) = 0.
-2, 0
Determine l so that -5/4*l**2 - 3/4 + 7/4*l + 1/4*l**3 = 0.
1, 3
Let l(w) be the third derivative of 4/21*w**3 - 1/210*w**6 + w**2 - 1/30*w**5 + 0*w - 1/21*w**4 + 0. Solve l(d) = 0.
-2, 1/2
Suppose -6*g + 5*g + 26 = 0. Let a = g - 24. Factor -1/4*y**a + 0 - 1/2*y.
-y*(y + 2)/4
Let k be (1 - 16)*(-18)/(-15). Let y be 4/k - (-76)/18. Factor -y*n - 3*n**2 + 4*n**2 + 6*n.
n*(n + 2)
Solve 0 - 3/8*a - 3/8*a**2 = 0 for a.
-1, 0
Let c be 1*9/(-3) + 6. Let y be c + (50/(-6))/5. Let 0*i**3 + 4/3*i**2 + 0 - y*i**4 + 2/3*i**5 - 2/3*i = 0. Calculate i.
-1, 0, 1
Let m = 129/2 + -63. Factor -1/2 + 2*q**2 + m*q.
(q + 1)*(4*q - 1)/2
Let t = 2507/4 - 1257/4. Factor 300*d**3 - 500*d**4 - 80*d**2 + 0 + 8*d + t*d**5.
d*(5*d - 2)**4/2
Suppose 4*k - 3*k = 8. Factor 6 - 2 + 4*n + 4 - 4*n**3 + k*n.
-4*(n - 2)*(n + 1)**2
Let h(g) be the second derivative of g**4/4 + g**3 + 3*g**2/2 + 19*g. Factor h(f).
3*(f + 1)**2
Let q(v) be the third derivative of 1/21*v**3 + 0*v + 0 + 4*v**2 - 1/28*v**4 - 2/105*v**5. Factor q(n).
-2*(n + 1)*(4*n - 1)/7
Suppose 0 = -3*k - 2*k + 2*o + 51, 2*k + o - 24 = 0. Let l = -11 + k. Suppose l*w**3 - 1/3*w**2 + 0 + 1/3*w**4 + 0*w = 0. Calculate w.
-1, 0, 1
Let s be (-168)/54 + (6 - 2). Factor 2/9*d**2 + 8/9 - s*d.
2*(d - 2)**2/9
Let n(r) = r**2 - 11*r + 10. Let q be n(10). Suppose -2/5*f**3 + q + 0*f**2 + 0*f + 2/5*f**4 = 0. What is f?
0, 1
Let d(t) = 15*t**3 + 8*t**2 - 32*t - 25. Let w(h) = -2*h**3 - h**2 + 4*h + 3. Let y(v) = -6*d(v) - 51*w(v). Determine s, given that y(s) = 0.
-1, -1/4, 1
Let x(z) be the second derivative of -z**10/30240 + z**9/7560 - z**8/6720 + z**4/12 + 2*z. Let o(r) be the third derivative of x(r). Solve o(u) = 0.
0, 1
Let u = -129 + 131. Let d(i) be the first derivative of -2/7*i - 1 + 2/7*i**u - 2/21*i**3. Factor d(p).
-2*(p - 1)**2/7
Let m(a) be the first derivative of -6/5*a**5 + 14/3*a**3 + a**4 + 0*a + 2*a**2 - 8. Factor m(l).
-2*l*(l - 2)*(l + 1)*(3*l + 1)
Let i(a) = 2*a - 4. Let g be i(3). Let d = 6 - 3. Factor 0*t**2 - 3*t**3 - t**4 - 4*t - 3*t**g + d*t.
-t*(t + 1)**3
Let b(w) be the first derivative of -w**3/2 - 9*w**2/4 - 3*w + 3. Determine z so that b(z) = 0.
-2, -1
Let d(v) = v**3 - 2*v**2 - v. Let z be d(3). Factor 2*y + 2*y**3 - 2*y + z*y**2 - 2*y + 6*y.
2*y*(y + 1)*(y + 2)
Suppose 18 = -0*q - q + 4*t, -t + 11 = 3*q. Let z(y) be the first derivative of -q + 1/5*y**5 + 0*y**4 + 0*y + 0*y**2 + 0*y**3. Let z(i) = 0. What is i?
0
Let j(x) be the first derivative of x**6/1260 - x**5/420 + 2*x**3 + 1. Let r(z) be the third derivative of j(z). Factor r(m).
2*m*(m - 1)/7
Factor -4/7*z + 2/7*z**4 - 6/7*z**2 + 0 + 0*z**3.
2*z*(z - 2)*(z + 1)**2/7
Let s(a) be the second derivative of -1/24*a**4 + 3*a + 0*a**2 + 0 + 1/12*a**3. Factor s(t).
-t*(t - 1)/2
Let x(p) be the second derivative of 4*p**3 + 0*p**2 - p**4 - 69/10*p**5 - 2*p + 45/14*p**7 + 0 - 3/10*p**6. Find c, given that x(c) = 0.
-2/3, 0, 2/5, 1
Suppose 5*d = 15, 2*h + 7*d = 4*d + 11. Let z(p) = 3*p**4 + 5*p**2 - 4. Let o(l) = l**4 + l**2 - 1. Let j(r) = h*z(r) - 4*o(r). Suppose j(g) = 0. What is g?
-1, 0, 1
Let c(g) = -g**3 - g + 2. Let p(s) = -s + 1. Let d(y) = -c(y) + 2*p(y). Factor d(n).
n*(n - 1)*(n + 1)
Let o = -2 - -4. Factor 0*v**2 + v - v - v + v**o - 2.
(v - 2)*(v + 1)
Suppose -35 = -5*i - 35. Let k(r) be the first derivative of 1 + 1/6*r**3 + i*r**2 + 0*r - 1/8*r**4. Find j such that k(j) = 0.
0, 1
Let x be (0 - 2/15)/((-29)/174). Let 0*j + 0*j**2 - 4/5*j**4 - x*j**3 - 1/5*j**5 + 0 = 0. What is j?
-2, 0
Let j = 2/155 + 89/5115. Let h(y) be the second derivative of -j*y**3 + 0*y**2 - 1/66*y**4 + 0 + 3*y. Factor h(t).
-2*t*(t + 1)/11
Let w(y) = -2*y + 12. Let x be w(5). Factor 36*z**4 + 40*z**x - 66*z**3 + 49 - 8*z - 49.
2*z*(2*z - 1)*(3*z - 2)**2
Let l = 3133/2086 - 2/1043. Let m = -3/8 - -7/8. Factor -1 + l*x - m*x**2.
-(x - 2)*(x - 1)/2
Let t = 143/524 + -3/131. Factor -1/4*o**3 - 1/2 + 1/2*o**2 + t*o.
-(o - 2)*(o - 1)*(o + 1)/4
Let k(f) = -4*f**5 + f**4 + 4*f**3 - 4*f**2 + 3*f. Let g(j) = j**5 + 3*j**2 - 4*j + 3*j - 2*j**2 - j**3. Let u(x) = -3*g(x) - k(x). Solve u(d) = 0.
-1, 0, 1
Factor -16/7*n - 32/7 + 2*n**2 - 2/7*n**3.
-2*(n - 4)**2*(n + 1)/7
Let o(h) be the first derivative of -h**8/5880 - h**7/1470 + h**5/210 + h**4/84 + h**3 - 3. Let l(f) be the third derivative of o(f). Solve l(u) = 0.
-1, 1
Let d(r) be the second derivative of 2*r**7/7 + 37*r**6/15 + 124*r**5/15 + 239*r**4/18 + 92*r**3/9 + 4*r**2 - 50*r. Suppose d(t) = 0. What is t?
-2, -3/2, -1/3
Suppose -3*m = -14*m. Let d be (1/(-2))/((-4)/218). Factor z - 9*z**2 + 49/4*z**5 - 63/2*z**4 + d*z**3 + m.
z*(z - 1)**2*(7*z - 2)**2/4
Let z(o) be the first derivative of -7*o**6/18 + 2*o**5/15 + 7*o**4/6 - 4*o**3/9 - 7*o**2/6 + 2*o/3 - 3. What is j in z(j) = 0?
-1, 2/7, 1
Let s(d) = -6*d**2 - 76*d + 5 + 76*d - 1 + d**3. Let l be s(6). Suppose 1/5*m**l + 0*m**2 + 0*m**3 + 0*m + 0 = 0. Calculate m.
0
Let z(b) = b**3 + 8*b**2 + 3*b. Let l(u) = 9*u**2 + 3*u. Let k(y) = -2*l(y) + 3*z(y). Factor k(p).
3*p*(p + 1)**2
Let k(q) be the third derivative of q**7/280 - q**5/40 - 3*q**3/2 - 6*q**2. Let f(w) be the first derivative 