7*j**2.
-2*j**2/7
Let n(f) = -5*f**2 + 6*f + 4. Let a be 1/((6/2)/(-9)). Let u(h) = 2*h**2 - 3*h - 2. Let l(t) = a*n(t) - 7*u(t). Let l(j) = 0. What is j?
-2, -1
Let c(r) = r**4 - r**3 - r**2 - 1. Let b(o) = 9*o**4 + 26*o**3 + 11*o**2 + 6. Let w(v) = -b(v) - 6*c(v). Solve w(i) = 0 for i.
-1, -1/3, 0
Determine t, given that 0 - 1/11*t**2 + 2/11*t = 0.
0, 2
Let z(i) = -i**3 + i**2. Let l(o) = -o**3 - 2*o**2 + 1. Let c be l(-2). Let p(b) = -4*b**3 + 3*b**2 - b + 2. Let h(u) = c*p(u) - 5*z(u). Factor h(y).
(y - 2)*(y - 1)*(y + 1)
Let z(x) = 4*x**3 - 24*x**2 + 24*x - 4. Let c(u) = -u**2 - 1. Let w(a) = -4*c(a) + z(a). Factor w(r).
4*r*(r - 3)*(r - 2)
Let x(v) be the second derivative of 2*v - 4/3*v**3 - 2*v**2 + 0 - 5/12*v**4 - 1/20*v**5. What is y in x(y) = 0?
-2, -1
Let o(n) be the third derivative of -n**5/20 - 3*n**4/4 - 9*n**3/2 - n**2. Factor o(m).
-3*(m + 3)**2
Let f be 15/80*-4 - -1. Solve -3/4*d**2 - 3/4*d - 1/4*d**3 - f = 0.
-1
Let o(k) = -25*k**4 + 30*k**3 + 20*k**2 + 5*k. Let n(p) = -12*p**4 + 15*p**3 + 10*p**2 + 2*p. Let r(y) = -5*n(y) + 2*o(y). Factor r(z).
5*z**2*(z - 2)*(2*z + 1)
Let n(t) = t**2 + 3*t - 1. Let j(d) = -2*d**2 - 6*d + 1. Let h(y) = -3*j(y) - 5*n(y). Let g be h(-3). Factor 3*p**g + 2*p - 2*p**3 + 0*p**2 - 3*p**4 - 1 + p**2.
-(p - 1)*(p + 1)**2*(3*p - 1)
Let a(s) = s**2 - 8*s - 5. Let d be a(9). Factor 3*q**d + 2 - 2*q**2 - 2*q**4 - 1.
(q - 1)**2*(q + 1)**2
Suppose -3*o - 4 = -10. Factor l**2 + 49*l + o - 45*l + l**2 + 0*l**2.
2*(l + 1)**2
Let p(a) be the first derivative of -2*a**5/5 + 3*a**4/2 + 2*a**3 - 7*a**2 - 12*a - 18. Factor p(k).
-2*(k - 3)*(k - 2)*(k + 1)**2
Let i(r) be the third derivative of r**8/84 + 2*r**7/21 + 3*r**6/10 + 7*r**5/15 + r**4/3 + 9*r**2. Determine n so that i(n) = 0.
-2, -1, 0
Let g be (-3)/(-7 + (-3 - -9)). Determine u so that 0*u + 0 - 8/7*u**g - 4/7*u**4 - 4/7*u**2 = 0.
-1, 0
Let o(g) be the first derivative of g**5/20 - g**4/8 - g**3/4 + g**2/2 + g - 14. Factor o(i).
(i - 2)**2*(i + 1)**2/4
Let o(c) be the first derivative of c**4/4 + 7*c**3/15 - 4*c**2/5 - 4*c/5 + 12. Factor o(p).
(p - 1)*(p + 2)*(5*p + 2)/5
Let y(n) be the first derivative of 3*n**4/16 + n**3/4 - 9*n**2/4 - 15. Factor y(a).
3*a*(a - 2)*(a + 3)/4
Factor -8/11*f + 0 + 2/11*f**2.
2*f*(f - 4)/11
Let j(g) be the second derivative of -g**5/40 + g**4/16 - g**3/24 - 5*g. Factor j(d).
-d*(d - 1)*(2*d - 1)/4
Let g(b) = b**2 + 5*b + 5. Let r be g(-5). Factor 4 + n**5 - r*n**4 + 31*n**2 + 10*n**3 - 6*n**2 + 12*n**4 + 9*n**3 + 16*n.
(n + 1)**3*(n + 2)**2
Let o(j) = -j**3 + 3*j**2 + 4. Let x be o(4). Let s be x/(-9)*(-18)/(-32). Factor 3/4*q**2 + 0 + s*q.
3*q*(q + 1)/4
Let u(c) be the second derivative of 8*c**6/135 - 11*c**5/45 + 5*c**4/27 + 4*c**3/27 - 2*c. Determine v so that u(v) = 0.
-1/4, 0, 1, 2
Let g(n) = 11*n**4 + 45*n**3 + 63*n**2 + 38*n + 3. Let b(j) = 32*j**4 + 134*j**3 + 190*j**2 + 114*j + 10. Let m(s) = -3*b(s) + 8*g(s). Let m(k) = 0. What is k?
-3, -1, -1/4
Let m(p) be the first derivative of -4*p**6/15 - 4*p**5/5 + 7*p**4/5 + 88*p**3/15 + 8*p**2/5 - 32*p/5 - 9. Solve m(a) = 0.
-2, -1, 1/2, 2
Let d be (6/14 - (-6)/(-14))/(-2). Let d*q**2 - q**4 + 0*q - 1/2*q**3 + 0 = 0. Calculate q.
-1/2, 0
Let b(o) = 5*o**4 - 32*o**3 - 21*o**2 + 12*o + 2. Let q(u) = 10*u**4 - 64*u**3 - 41*u**2 + 23*u + 5. Let t(p) = 5*b(p) - 2*q(p). Determine h so that t(h) = 0.
-1, 0, 2/5, 7
Factor 3*w + 874*w**2 - 3*w**3 - 869*w**2 + 5*w**3 - w**3 - w**4.
-w*(w - 3)*(w + 1)**2
Factor -6*l**4 + 73*l + 6*l**2 + l**5 - 4*l**5 - 70*l.
-3*l*(l - 1)*(l + 1)**3
Let u(n) be the second derivative of n**7/168 + n**6/120 - 3*n**5/80 - 5*n**4/48 - n**3/12 - 8*n. Find r, given that u(r) = 0.
-1, 0, 2
Let p(x) = -x**2 + 3*x - 1. Let i be p(2). Let y(m) = -m**3 + 1. Let v be y(-1). Determine o, given that i - 2*o**v - 6*o + 3*o**2 + 8*o**2 = 0.
1/3
Let d(u) = -18*u**4 + 30*u**3 + 2*u**2 - 14*u + 8. Let j(w) = -6*w**4 + 10*w**3 + w**2 - 5*w + 3. Let r = -11 + 3. Let x(v) = r*j(v) + 3*d(v). Factor x(g).
-2*g*(g - 1)**2*(3*g + 1)
Suppose 3*j + 5*h + 1 = 4*j, 2*h + 55 = 3*j. Suppose -4*l**2 + 7*l**2 + 11*l + 6 + 7*l + j = 0. What is l?
-3
Let h be 1 + 110/80 + -2. Factor 0 + h*c**2 - 3/8*c**4 - 3/8*c**3 + 3/8*c.
-3*c*(c - 1)*(c + 1)**2/8
Let r = 17/32 + 31/32. Factor 1/2*s**5 - s**4 + s**2 + r*s + 0 - 2*s**3.
s*(s - 3)*(s - 1)*(s + 1)**2/2
Let a(o) = o**3 - 5*o**2 + o. Suppose 4*z - z = 15. Let t be a(z). Factor -2/5*h**t - 2/5*h + 0 - 8/5*h**2 - 12/5*h**3 - 8/5*h**4.
-2*h*(h + 1)**4/5
Let k(f) = 3*f. Let t(a) = -a**2 - 8*a + 1. Let x(y) = y**2 - 8*y - 6. Let n be x(9). Let j(h) = n*t(h) + 8*k(h). Find q such that j(q) = 0.
-1, 1
Suppose 2/13*g**3 + 2/13*g - 4/13*g**2 + 0 = 0. Calculate g.
0, 1
Let a(r) be the first derivative of -r**7/28 + 3*r**5/40 - 7*r + 5. Let s(g) be the first derivative of a(g). Determine o so that s(o) = 0.
-1, 0, 1
Let h be (3 - 4)*(0 + -3). Suppose h*a = -2*a + 10. Factor -1/2 + 1/2*u**a + 0*u.
(u - 1)*(u + 1)/2
Let d be 4 - (0 - (-75)/20). Determine k, given that d*k**2 - 1/4 + 0*k = 0.
-1, 1
Let f(u) = 60*u**3 - 145*u**2 + 180*u - 95. Let b(j) = -5*j**3 + 12*j**2 - 15*j + 8. Let s(l) = 35*b(l) + 3*f(l). Factor s(h).
5*(h - 1)**3
Let c = 1/87 + 25/348. Let h(x) be the first derivative of -c*x**4 + 0*x - 2/9*x**3 - 1 - 1/6*x**2. Let h(d) = 0. What is d?
-1, 0
Suppose 3*m + 16 = 7*m. Let n = -9 - -14. What is i in n*i**3 + 3*i**3 - m*i**2 + i**4 - 4*i**4 = 0?
0, 2/3, 2
Let v(i) = -2*i**3 - 2*i**2 + 7*i - 3. Let y(c) = c**3 - c**2. Let z(o) = 5*v(o) + 15*y(o). Factor z(j).
5*(j - 3)*(j - 1)**2
Suppose -57 = -7*w - 15. Let i(t) be the second derivative of 2*t - 1/126*t**7 + 1/18*t**4 + 1/6*t**2 - 1/30*t**w - 1/30*t**5 + 0 + 1/6*t**3. Factor i(k).
-(k - 1)*(k + 1)**4/3
Solve -20*q - 22*q**3 - 86*q**3 + 12*q + 92*q**4 + 52*q**2 - 28*q**5 = 0.
0, 2/7, 1
What is f in -2/3*f - 4/3*f**2 + 0 - 2/3*f**3 = 0?
-1, 0
Let h(x) = -39*x**4 - 30*x**3 + 55*x**2 + 26*x - 14. Let j(d) = 430*d**4 + 330*d**3 - 605*d**2 - 285*d + 155. Let b(m) = 65*h(m) + 6*j(m). Factor b(p).
5*(p + 1)**2*(3*p - 2)**2
Let q(i) = i**2. Let t(b) = -17*b**3 + 2*b**2 - b + 8. Let u(y) = q(y) - t(y). Let z(f) = -4*f**3 + 2. Let m(o) = -4*u(o) - 18*z(o). Factor m(k).
4*(k - 1)*(k + 1)**2
Let k = 481/652 + 2/163. Factor -3/2*b**3 + 0 + 3/4*b**5 + 0*b**4 + 0*b**2 + k*b.
3*b*(b - 1)**2*(b + 1)**2/4
Let -6*p**2 - 1759 + 1759 + 27*p**3 = 0. Calculate p.
0, 2/9
Let a(s) = -2*s**2 - 3*s. Let b(t) = 5*t**2 + 8*t. Let m(u) = 8*a(u) + 3*b(u). Let y(i) = 6*i**2 + i. Let l(j) = -14*m(j) - 2*y(j). Factor l(o).
2*o*(o - 1)
Let n(c) be the first derivative of -c**6/4 + 3*c**5/2 - 21*c**4/8 - c**3/2 + 6*c**2 - 6*c + 7. Determine u, given that n(u) = 0.
-1, 1, 2
Let p(r) be the third derivative of r**5/15 + r**4/4 + r**3/3 - 3*r**2. Factor p(b).
2*(b + 1)*(2*b + 1)
Let c = 94 + -94. Let z(i) be the second derivative of 0 + 0*i**2 + 3*i + 0*i**6 + c*i**4 - 1/10*i**5 + 1/42*i**7 + 1/6*i**3. Solve z(t) = 0.
-1, 0, 1
Let f(q) = -q**2 + 9*q - 4. Let g(b) = -b + 1. Let w(v) = f(v) + 4*g(v). What is c in w(c) = 0?
0, 5
Let v(d) = -d**4 - 3*d**3 + d**2 - 3*d. Let z(w) = -6*w**4 - 16*w**3 + 4*w**2 - 14*w. Let n(m) = 14*v(m) - 3*z(m). Solve n(k) = 0.
-1, -1/2, 0
Suppose -13*z - 12 = -16*z. Let r(f) be the second derivative of 1/24*f**3 + 0*f**2 + 0 - 1/16*f**z - 1/20*f**5 + 2*f. Factor r(g).
-g*(g + 1)*(4*g - 1)/4
Suppose g - p - 5 = 0, -p - 6 = 2*g - 10. Solve -1/3*b**4 - 2/3 - g*b**2 - 5/3*b**3 - 7/3*b = 0 for b.
-2, -1
Factor 0*b - 8/5*b**2 + 0 - 12/5*b**3 - 4/5*b**4.
-4*b**2*(b + 1)*(b + 2)/5
Factor -2/9*x**2 - 8/9*x + 0.
-2*x*(x + 4)/9
Let j(c) be the third derivative of -c**6/420 - 5*c**2. Factor j(s).
-2*s**3/7
Let u(b) be the third derivative of 2*b**7/525 + b**6/75 - 4*b**5/75 - 4*b**4/15 - 14*b**2. Suppose u(r) = 0. Calculate r.
-2, 0, 2
Let x(k) be the second derivative of 5*k**4/12 - 5*k**3/3 + 5*k**2/2 - 16*k. Determine j so that x(j) = 0.
1
Let i(r) be the third derivative of 0 + 0*r**3 + 0*r**4 - 6*r**2 + 0*r - 1/105*r**5. Suppose i(k) = 0. What is k?
0
Let z be 1/(-3) + -14*3/(-18). Factor -1/3*p - 1/3*p**z + 0.
-p*(p + 1)/3
Let b(p) = -p**2 + 4. Let d be b(0). Determine j, given that 3*j**2 + 5*j**3 + 15*j**4 - 5*j**3 - 14*j**d - 4*j - 4 + 4*j**3 = 0.
-2, -1, 1
Let c(t) be the first derivativ