). Factor o(l).
2*l*(l + 1)/3
Let z(y) be the first derivative of -4*y**3/3 + 12*y**2 - 20*y - 40. Factor z(l).
-4*(l - 5)*(l - 1)
Factor 147852 - i**2 + 472*i + 860*i + 10*i**2 - 5*i**2 - i**2.
3*(i + 222)**2
Let c be ((-366)/(-66) - 8) + 3. Factor 0 + 8/11*r**2 + 0*r**3 + 0*r - 2/11*r**5 - c*r**4.
-2*r**2*(r - 1)*(r + 2)**2/11
Suppose 4*z - 10 = -z. Let r be ((-88)/12)/(z/3). Let l(j) = -5*j**3 + 5*j**2. Let b(i) = 14*i**3 - 14*i**2. Let v(h) = r*l(h) - 4*b(h). What is x in v(x) = 0?
0, 1
Suppose -5*y + 8 = -57. Suppose -5*q - w = -104, 0 = q + 2*w - 15 - y. Solve q*j**5 - 4*j**2 + 8*j**4 + 0*j**2 - 20*j**3 - 4*j**2 = 0 for j.
-1, -2/5, 0, 1
Let k(y) = 2*y - 4. Let u be k(4). Let z = 10 - u. Factor z*w**2 + 0*w**3 - 6*w**3 - 2*w**2 + 2*w**4.
2*w**2*(w - 2)*(w - 1)
Let f(l) be the first derivative of 17 + 6*l**3 + 3/5*l**5 + 3*l**4 + 6*l**2 + 3*l. Solve f(z) = 0 for z.
-1
Let a(j) be the second derivative of -1/4*j**2 + 1/40*j**5 + 1/4*j**3 - 2*j + 0 - 1/8*j**4. Factor a(r).
(r - 1)**3/2
Let o(k) = 7*k**2 + 571*k + 50557. Let x(y) = -y**2 + 13*y + 1. Let g(z) = -2*o(z) - 10*x(z). Let g(d) = 0. What is d?
-159
Suppose 4*k - 7*n = -3*n + 4, 5*n = -5*k - 5. Let r be -5 - (15/3)/(-1). Factor -1/5*q**2 + k + r*q.
-q**2/5
Let k be (-4035)/45 + (-2)/6 + 1. Let d = 89 + k. Factor -4/5*p**2 - 2/5*p**3 + d*p + 0.
-2*p**2*(p + 2)/5
Let z = 175834/9 + -19536. Suppose o = -2*o. Let -z*f**2 + o + 2/3*f**3 + 10/9*f**4 + 2/9*f - 8/9*f**5 = 0. Calculate f.
-1, 0, 1/4, 1
Let q = 11347/40 - 1418/5. Let l = q + 1/8. Find z such that 0*z**2 + 1/5 - l*z**4 - 2/5*z**3 + 2/5*z = 0.
-1, 1
Let k(s) be the first derivative of -5*s**4/16 - 5*s**3/6 + 25*s**2/8 + 15*s/2 - 171. Find m such that k(m) = 0.
-3, -1, 2
Let o = -3577/152 - -899/38. Factor 11/4*a - o*a**2 - 121/8.
-(a - 11)**2/8
Let l(o) be the third derivative of o**7/42 - o**6/12 - 95*o**5/12 - 125*o**4/2 + 5*o**2 + 3. Factor l(m).
5*m*(m - 12)*(m + 5)**2
Let m(x) be the third derivative of x**8/5376 - x**7/1260 + x**6/2880 + x**5/240 + 7*x**4/8 - 5*x**2. Let h(o) be the second derivative of m(o). Factor h(r).
(r - 1)**2*(5*r + 2)/4
Let g be 6*4/12*14. Suppose 0*a**2 + 17 - 17 - 4*a**2 + g*a = 0. What is a?
0, 7
Find w such that -26*w**3 + 936*w**2 + 8*w**3 + 42*w**3 + 3374592 - 97344*w - 27*w**3 = 0.
104
Suppose 33/2*r**3 + 5*r + 1/2*r**5 - 31/2*r**2 - 13/2*r**4 + 0 = 0. What is r?
0, 1, 10
Let o(n) be the third derivative of 0*n + 0 + 1/60*n**5 + 3*n**2 + 23/168*n**4 + 1/7*n**3. Factor o(x).
(x + 3)*(7*x + 2)/7
Determine z, given that -18/7*z - 3/7*z**3 + 0 - 3*z**2 = 0.
-6, -1, 0
Let j(w) = w**3 + 6*w**2 + 9*w + 6. Let b be j(-4). Factor 3*y**3 - 2*y**3 - 8*y**b + 12*y**2.
y**2*(y + 4)
Let j = -6/149 + 167/447. Let p(f) be the second derivative of 0*f**2 + j*f**3 - 3*f + 1/6*f**4 + 0. Factor p(o).
2*o*(o + 1)
Let r(d) = d**2 + 38*d + 359. Let f be r(-17). Factor 0*n**f + 0*n - n**3 + 8/3*n**4 + 0 - 5/3*n**5.
-n**3*(n - 1)*(5*n - 3)/3
Suppose v - 4*s + 6*s = 15, -5 = 3*v - 4*s. Find r such that -21*r**4 - 12*r**3 - 6*r - 7*r**2 + 28*r**2 + 15*r**v + 0*r**3 + 3*r**3 = 0.
-1, 0, 2/5, 1
Let g(y) be the first derivative of -20*y**3/3 + 226*y**2 + 184*y - 268. Factor g(p).
-4*(p - 23)*(5*p + 2)
Let p(l) = 32*l**3 - 80*l**2 - 68*l - 20. Let h(w) = -w**3 + 2*w + 1. Let g(m) = 20*h(m) + p(m). Suppose g(j) = 0. What is j?
-1/3, 0, 7
Let y be (1 - 0)/(18/114*1). Let t = y - 37/6. Let -t*o**3 + 0 - 1/6*o**2 + 1/6*o + 1/6*o**4 = 0. What is o?
-1, 0, 1
Let p = -357 + 360. Let q(x) be the second derivative of 1/40*x**5 + 1/24*x**4 + 0 - 1/12*x**p - 9*x - 1/4*x**2. Let q(a) = 0. Calculate a.
-1, 1
Let s(h) be the first derivative of h**5/20 + h**4/8 - h**2/4 - h/4 - 68. Let s(v) = 0. Calculate v.
-1, 1
Let u(o) be the third derivative of 0 + 1/170*o**5 + 1/1020*o**6 + 0*o + 24*o**2 + 1/102*o**4 + 0*o**3. Let u(f) = 0. What is f?
-2, -1, 0
Let h(d) be the first derivative of -4 - 1/8*d**4 + 1/6*d**3 - 1/2*d + 1/4*d**2. Factor h(o).
-(o - 1)**2*(o + 1)/2
Find f such that 12*f**2 - 9*f**2 - 13*f - 4*f**2 + 40 - 70 = 0.
-10, -3
Determine h so that -8/3 + 1/3*h**2 - 2/3*h = 0.
-2, 4
Let f(m) = 17*m**4 + 33*m**3 - 15*m**2 + 6*m + 37. Let k(c) = 4*c**4 + 8*c**3 - 4*c**2 + c + 9. Let n(s) = -6*f(s) + 26*k(s). Find y, given that n(y) = 0.
-6, -1, 1
Let r be 218/(-8) + 3/12. Let l be (-6)/r - 14/(-18). Factor 1 - 2*z**2 + 4*z - l.
-2*z*(z - 2)
Let k = -232 - -4641/20. Let z(x) be the third derivative of -k*x**5 + 0 + 1/40*x**6 - 1/8*x**4 + 1/2*x**3 - x**2 + 0*x. Factor z(r).
3*(r - 1)**2*(r + 1)
Suppose -44*w = -103*w. Let 1/6*a**2 - 1/6 + w*a = 0. What is a?
-1, 1
Let d(w) = -9*w**4 - 41*w**3 + 50*w**2 - 4*w. Let s(l) = -l**4 + l**3 - l. Let o(u) = -d(u) + 4*s(u). Let o(k) = 0. What is k?
-10, 0, 1
Let o(s) be the first derivative of s**5/240 + 5*s**4/96 + s**3/6 + 15*s**2/2 + 26. Let d(n) be the second derivative of o(n). Let d(r) = 0. Calculate r.
-4, -1
Let u(s) = -s**3 - 11*s**2 + 3*s. Let p(f) = -f**2 + 24*f - 83. Let i be p(20). Let a(h) = -6*h**3 - 54*h**2 + 16*h. Let r(m) = i*a(m) + 16*u(m). Factor r(n).
2*n**2*(n - 7)
Let d = -16540/7 - -2363. Factor -d*z**3 - 4/7*z**2 - 2/7 - 5/7*z.
-(z + 1)**2*(z + 2)/7
Let t(v) be the second derivative of -v**5/220 - 5*v**4/66 - 7*v**3/66 + 9*v**2/11 + 198*v. Let t(o) = 0. What is o?
-9, -2, 1
Determine y, given that -6 - 1/2*y**2 - 13/2*y = 0.
-12, -1
Let r(k) be the first derivative of 5/2*k**6 + 11/2*k**2 + 2*k - 13/2*k**4 - 17 + 0*k**3 - 2/5*k**5. Solve r(v) = 0 for v.
-1, -2/3, -1/5, 1
Let h(n) be the first derivative of -n**4/22 + 2*n**3/33 + 6*n**2/11 - 363. Factor h(z).
-2*z*(z - 3)*(z + 2)/11
Let b(s) be the third derivative of -2*s**2 + 1/90*s**6 + 5/12*s**4 + 1/2*s**3 + 0*s - 23/180*s**5 + 0. Factor b(m).
(m - 3)**2*(4*m + 1)/3
Let q(p) = p**3 - p**2 - 1. Let m(k) = -12*k**2 + 28*k - 2. Let g(a) = m(a) - 2*q(a). Factor g(z).
-2*z*(z - 2)*(z + 7)
Suppose -3*m - 183 - 30 = 0. Let d = 74 + m. Factor 2/7*s + 0*s**2 - 2/7*s**d + 0.
-2*s*(s - 1)*(s + 1)/7
Let i(b) be the third derivative of 0*b + 0*b**3 + 1/600*b**6 + 12*b**2 + 0 - 1/120*b**4 + 0*b**5. Determine u so that i(u) = 0.
-1, 0, 1
Let w(l) = l**2 + 9*l - 15. Let r be w(-8). Let k = r - -27. Let 34*s**4 - 3*s**3 - 21*s**4 - 15*s**k + s = 0. What is s?
-1, 0, 1/2
Let t be (3 + 0)*(-4)/(-3). Suppose 0 - 7 = -o. Determine j so that j**5 - o*j + 14*j**3 + 2*j**2 + 3*j**t - 5*j + 3*j**4 - 8 - 3*j**3 = 0.
-2, -1, 1
Let m be 2 - 1 - (-1 - 2). Find k, given that -9*k**2 + 0*k**3 + 21*k + 0*k**2 + 3*k**m + 0*k**3 - 9*k**3 + 18 = 0.
-1, 2, 3
Suppose 3*m = 4*o - 75, -m - m - 10 = 0. Solve -6*a**3 + 1 + o*a - 3*a**2 - 9 + 1 + 1 = 0 for a.
-2, 1/2, 1
Let z = -119 + 147. Suppose -6*w - 10*w + z*w**3 - 24*w**3 = 0. What is w?
-2, 0, 2
Let q(h) = h**4 + h**3 - h**2 - h + 2. Let f(y) = 8*y**4 + 14*y**3 + 4*y**2 - 2*y + 14. Let b(v) = -4*f(v) + 28*q(v). Factor b(t).
-4*t*(t + 1)**2*(t + 5)
Let d(t) = -t. Let r(x) = 5*x**2 - 139*x. Let l(j) = 4*d(j) - r(j). Factor l(u).
-5*u*(u - 27)
Let q(r) = 2*r + 19. Let x be q(-7). Let b(t) be the second derivative of 3/20*t**4 + 0 + 3/5*t**2 + x*t - 1/2*t**3. Determine f so that b(f) = 0.
2/3, 1
Factor 0 - 12/7*t**4 - 24/7*t**3 - 6/7*t - 20/7*t**2 - 2/7*t**5.
-2*t*(t + 1)**3*(t + 3)/7
Let f be (-830)/(-4) - 2/(-4). Let w = f - 823/4. Solve 0 - 3/4*u**2 + w*u = 0 for u.
0, 3
Suppose -l = -2, 0 = 3*o - 3*l + 2984 + 4558. Let f be -9 + o/(-280) + 6/14. Factor 0 + f*d**2 + 0*d.
2*d**2/5
Let i(q) be the third derivative of -q**7/105 - 11*q**6/60 - 4*q**5/3 - 4*q**4 - 64*q**2. Suppose i(y) = 0. What is y?
-4, -3, 0
Let k(q) be the third derivative of -q**7/630 - q**6/10 - 27*q**5/10 + 7*q**4/12 + 10*q**2. Let g(b) be the second derivative of k(b). Factor g(j).
-4*(j + 9)**2
Let y(v) be the first derivative of -7/5*v**3 + 10 + 18/5*v + 33/10*v**2. Let y(o) = 0. What is o?
-3/7, 2
Let t(v) be the second derivative of -v**7/2100 - v**6/600 - 8*v**2 - 28*v. Let i(a) be the first derivative of t(a). Let i(w) = 0. Calculate w.
-2, 0
Let s(q) = -3*q**2 - q - 22. Let w(t) = -4*t**2 - 24. Let v(g) = -5*s(g) + 4*w(g). Factor v(f).
-(f - 7)*(f + 2)
Let z = -189/95 - -473/190. Let 1/2*w**2 + 0 - z*w**3 + 3*w = 0. What is w?
-2, 0, 3
Let s = -16 - -23. Let h be (s - 5)/(4/6). Determine f, given that -3 + 17 + 9*f - 