.
2*w**3*(w - 1)*(w + 8)
Let n(y) be the third derivative of 1/10*y**3 + 0*y + 9/100*y**5 - 1/50*y**6 + 0 + 3*y**2 - 3/20*y**4. Factor n(u).
-3*(u - 1)**2*(4*u - 1)/5
Suppose -2*t + d + 14 = 0, -3*t - 12 = -7*t - 2*d. Let v be (-6)/(-18)*13 + (-2)/(-3). Factor 4*u**3 + t*u**v + 2*u**5 - 11*u**5.
-4*u**3*(u - 1)*(u + 1)
Let z(t) be the second derivative of t**7/3 - 226*t**6/15 + 477*t**5/10 + 53*t**4/3 - 484*t**3/3 + 120*t**2 + 455*t. Determine v, given that z(v) = 0.
-1, 2/7, 1, 2, 30
Suppose 0 - 1/3*j**4 - 1/3*j**2 + 2*j - 4/3*j**3 = 0. Calculate j.
-3, -2, 0, 1
Let h(o) = 36*o + 26*o - 10*o**2 - 42*o**2 + 94*o. Let d(x) = -8*x**2 + 24*x. Let p(l) = 32*d(l) - 5*h(l). Factor p(c).
4*c*(c - 3)
Determine b so that 0*b**2 + 1/2*b**4 + b**3 - 1/2 - b = 0.
-1, 1
Let c = 175 + -699/4. Let y(b) be the second derivative of 0*b**3 - 3/4*b**2 + 0*b**5 - 1/20*b**6 + 0 + 3*b + c*b**4. What is v in y(v) = 0?
-1, 1
Solve 14/3*n - 2/9*n**3 - 22/9 - 2*n**2 = 0.
-11, 1
Let t(p) = -p**3 - 2. Let r(q) = 28*q**3 + 100*q**2 - 616*q - 136. Let k(a) = -r(a) - 12*t(a). Solve k(h) = 0 for h.
-10, -1/4, 4
Let z = -341/210 - -58/35. Let y(o) be the second derivative of 0*o**5 + 0*o**2 + 0*o**3 + z*o**4 + 0 - 1/75*o**6 + 5*o. Let y(t) = 0. Calculate t.
-1, 0, 1
Let a(y) = 4*y**2 + 5*y - 2. Let z be a(-2). Let p(b) be the first derivative of -1/5*b - 1/20*b**z + 5 + 1/10*b**2 + 1/15*b**3. Factor p(f).
-(f - 1)**2*(f + 1)/5
Let d(c) = c**2 - 2*c + 1. Let p(t) = -t**4 - 24*t**3 - 118*t**2 + 796*t + 6002. Let g(n) = 2*d(n) - p(n). Factor g(a).
(a - 6)*(a + 10)**3
Let -2/9*p**4 - 4/9*p**2 + 40/9*p - 10/9*p**3 + 16/3 = 0. What is p?
-3, -2, 2
Let a = 13 + -9. Factor 3 - 1250*z**3 + 450*z**2 - 70*z + 1352*z**4 + 1 + 121*z**a - 223*z**4.
2*(5*z - 2)*(5*z - 1)**3
Determine g, given that 2/5*g**5 + 2*g**4 - 8/5 - 16/5*g - 2/5*g**2 + 14/5*g**3 = 0.
-2, -1, 1
Determine r so that -448/15*r + 512/15 - 2/15*r**3 - 62/15*r**2 = 0.
-16, 1
Determine a, given that -24/5*a - 8*a**3 - 48/5*a**2 - 4/5 - 12/5*a**4 = 0.
-1, -1/3
Let k(v) = -16*v**2 - 42*v + 113. Let z(u) = -23*u**2 - 63*u + 169. Let n(b) = 7*k(b) - 5*z(b). Suppose n(a) = 0. What is a?
-9, 2
Factor i - 4*i**3 + 49*i**4 + 0*i**3 - 2 + 3*i - 47*i**4.
2*(i - 1)**3*(i + 1)
Let h be 30/((2/(-5))/((-4)/105)). Find l such that 4/7*l**2 + 16/7 - 4/7*l**4 - 4/7*l**5 + h*l**3 - 32/7*l = 0.
-2, 1
Let t = -45 + 49. Suppose 2*g + t*n = n - 11, 5*g = 5*n + 35. Determine v, given that -16/5*v**g + 4/5*v**3 + 4/5*v**4 - 2/5*v**5 + 14/5*v - 4/5 = 0.
-2, 1
Let c(d) = 16*d - 12. Let p be c(1). Let h(m) be the third derivative of 3*m**2 + 0*m**3 + 1/8*m**p + 0 + 0*m + 1/20*m**5. Factor h(w).
3*w*(w + 1)
Let q(o) = o - 3. Let r be q(8). Find l, given that -6*l**4 - 20*l**2 + 4*l + r*l**4 + 71*l**4 - 3*l**3 + 49*l**5 = 0.
-1, 0, 2/7
Let q(l) be the first derivative of -l**5/30 - l**4/3 - l**3 + l**2 + 1. Let b(m) be the second derivative of q(m). Let b(n) = 0. What is n?
-3, -1
Let g = 5257 - 5254. Factor -3*o**g + 9/5*o**2 + 6/5*o + 0.
-3*o*(o - 1)*(5*o + 2)/5
Let j(y) be the second derivative of y**7/15120 + y**6/2160 - y**4/4 + 14*y. Let m(r) be the third derivative of j(r). Suppose m(l) = 0. Calculate l.
-2, 0
Let f be (0 - (-206)/(-7))/((-12)/(-28)). Let l = -68 - f. Suppose 2/3*s + 0 - l*s**2 = 0. What is s?
0, 1
Let m(w) be the second derivative of w**5/90 + 5*w**4/54 + 2*w**3/9 - 12*w + 2. Factor m(s).
2*s*(s + 2)*(s + 3)/9
Let m(l) = -6*l**2 + 6*l - 3. Let h(b) = -5*b**2 + 6*b - 3. Let d(q) = q - 8. Let g = 27 - 22. Let v be d(g). Let x(t) = v*h(t) + 2*m(t). Solve x(z) = 0.
1
Let b(y) be the first derivative of y**5/45 + y**4/36 - 10*y**3/9 + 38*y**2/9 - 56*y/9 - 167. Determine w so that b(w) = 0.
-7, 2
Let n(u) = -3*u**2 + 3*u - 6. Let c(a) = -a - 12 - 30*a**2 + 7*a + 25*a**2. Let z(w) = -6*c(w) + 11*n(w). Solve z(j) = 0.
-2, 1
Let t = -95 + 52. Let s = t + 43. Determine b so that 1/2*b**2 + 0*b + s = 0.
0
Let g(s) = -45*s**2 - 100*s + 810. Let d(p) = -5*p**2 - 11*p + 90. Let v(m) = 35*d(m) - 4*g(m). Solve v(r) = 0 for r.
-6, 3
Let b(s) be the first derivative of 3*s**4/20 - 3*s**3/5 - 6*s**2/5 + 36*s/5 + 20. Factor b(y).
3*(y - 3)*(y - 2)*(y + 2)/5
Determine r so that -3*r**2 - 278 + 505 - 24*r - 272 = 0.
-5, -3
Suppose 3 = 3*u - 2*u. Find w such that 17*w**3 + 4*w**4 + 16*w**3 - 32*w**3 + 7*w**u = 0.
-2, 0
Let y(d) = 4*d**2 - 53*d - 250. Let h be y(17). Factor 5/2*s**h - 10*s**4 + 25/2*s**3 + 0 - 5*s**2 + 0*s.
5*s**2*(s - 2)*(s - 1)**2/2
Find p such that 52*p - 14*p**3 - 21*p**3 - 32*p**3 + 4*p**5 + 8*p**4 - 12*p**3 + 32*p**2 + 23*p**3 - 40 = 0.
-5, -1, 1, 2
Solve -1/4*w**3 + 0 - 11/4*w**2 + 0*w = 0.
-11, 0
Factor 196/5 + 1/5*q**2 + 28/5*q.
(q + 14)**2/5
Let n be (4 + -1)/((-1)/(-1)). Find x, given that -x + 3*x**n - x**2 + x**4 - 5*x + 3*x = 0.
-3, -1, 0, 1
Let m(f) be the first derivative of -1/3*f**4 + 5/3*f**3 - 6*f + 8 - 2*f**2. Let g(q) be the first derivative of m(q). Factor g(b).
-2*(b - 2)*(2*b - 1)
Suppose -3*j = j + 2*z - 110, -3*z = 15. Suppose 34*i = j*i. Determine x so that i*x - 1/6 + 1/6*x**2 = 0.
-1, 1
Let w(i) = -3*i**2 + 47*i - 66. Let m(d) = -15*d**2 + 237*d - 330. Let r(h) = -4*m(h) + 21*w(h). Factor r(j).
-3*(j - 11)*(j - 2)
Let i(m) be the first derivative of m**3/4 + 45*m**2/8 + 21*m/2 - 361. Factor i(a).
3*(a + 1)*(a + 14)/4
Suppose -5*f - 6 = -4*x, f + 0 = -x + 6. Let k = -1521 - -1524. Solve 141*i**k - 105*i**x + 24*i - 12/5 + 147/5*i**5 - 87*i**2 = 0 for i.
2/7, 1
Suppose -3*l - 15 = -3. Let o(r) = 8*r**2 - 3*r. Let v(f) = -4*f**2 - 2*f - f**2 + 7*f**2 + 5*f**2. Let h(m) = l*o(m) + 5*v(m). Solve h(g) = 0.
-2/3, 0
Let h(f) = -5*f**5 - 3*f**4 + f**3 + 15*f**2 - 11*f - 9. Let v(a) = 2*a**5 - a**3 - a**2 + a + 3. Let n(c) = -2*h(c) - 6*v(c). Let n(l) = 0. What is l?
-2, 0, 1, 2
Let m(b) = -7*b**2 + 47*b + 44. Let y(u) = 4*u**2 - 24*u - 22. Let k(a) = -6*m(a) - 10*y(a). Suppose k(h) = 0. Calculate h.
-1, 22
Suppose 5*g - 5 = 0, o - 8*g + 7*g - 3 = 0. Determine l so that 0 + 0*l**o - 1/5*l - 1/5*l**5 + 2/5*l**3 + 0*l**2 = 0.
-1, 0, 1
Let d = 100 - 144. Let j be ((-2)/d)/(-1)*-12. Factor -2/11*u**3 - j*u**2 + 0 - 4/11*u.
-2*u*(u + 1)*(u + 2)/11
Suppose -11 = -13*u - 11. Let g(n) be the first derivative of 1/8*n**2 + 1/10*n**5 - 1/6*n**3 + u*n - 1/24*n**6 + 0*n**4 + 3. Factor g(b).
-b*(b - 1)**3*(b + 1)/4
Let w = 16 + -42. Let q = -21 - w. What is s in -1/7*s**q + 0*s + 0 + 3/7*s**4 - 3/7*s**3 + 1/7*s**2 = 0?
0, 1
Let p(m) be the third derivative of -m**10/6048 - m**9/3024 + m**8/1344 + m**7/504 - 3*m**4/8 + 2*m**2. Let u(y) be the second derivative of p(y). Factor u(i).
-5*i**2*(i - 1)*(i + 1)**2
Let y(w) be the second derivative of -w**4/102 - w**3/17 + 4*w**2/17 - 57*w - 1. Suppose y(m) = 0. What is m?
-4, 1
Solve 0*r**3 - 1/2*r**5 + 17/2*r + 3 + 7*r**2 - 2*r**4 = 0.
-3, -1, 2
Let p(v) = -3*v**3 - 3*v**2 + 3*v + 5. Let y(t) = -5*t**3 - 5*t**2 + 5*t + 10. Let a be 57/11 - (-2 + (-24)/(-11)). Let i(b) = a*p(b) - 2*y(b). Factor i(d).
-5*(d - 1)*(d + 1)**2
Factor 8 + 3 - 11 - 216*p**3 - 64*p**2 + 28*p**4.
4*p**2*(p - 8)*(7*p + 2)
Let d(p) be the third derivative of -p**8/45360 + p**7/11340 + p**5/5 + 26*p**2. Let t(y) be the third derivative of d(y). Let t(s) = 0. Calculate s.
0, 1
Suppose -2*j + j = 4*k - 76, 3*k - 76 = 4*j. Suppose -8 + 2*t + 6*t + k - 4*t**2 = 0. Calculate t.
-1, 3
Let -5*h + 2*h**3 + 3/2 - 9/2*h**2 = 0. What is h?
-1, 1/4, 3
Let k(i) be the third derivative of 1/42*i**7 + 0*i**3 + 0*i - 1/8*i**6 + 0*i**4 - 8*i**2 + 1/6*i**5 + 0. Factor k(g).
5*g**2*(g - 2)*(g - 1)
Let g(j) be the second derivative of 0*j**2 - 2/45*j**3 - 1/90*j**4 + 0 + 13*j. Determine b, given that g(b) = 0.
-2, 0
Let f be 1/(105/150 - 2/10). Let l(x) be the first derivative of -f - 2/3*x**2 - 2/3*x - 2/9*x**3. What is a in l(a) = 0?
-1
Let y(m) = m**3 + 5*m**2 - 3*m + 3. Let g be y(-3). Determine d so that -39*d + g*d - 11*d + 5*d**2 = 0.
0, 4
Let m(b) = 10*b - 6. Let l be m(1). Factor 4*z**l + 3*z**3 + 11*z**2 - 14*z**2 - 3*z - z**4.
3*z*(z - 1)*(z + 1)**2
Let h = -22 - -22. Let j be (-4)/(-7) - (h + 0 + -2). What is m in 2*m - 4/7 + j*m**2 = 0?
-1, 2/9
Let f(i) = -22*i**5 - 45*i**4 + 53*i**3 + 233*i**2 - 247. Let x(g) = 15*g**5 + 30*g**4 - 35*g**3 - 155*g**2 + 165. Let j(l) = 5*f(l) + 7*x(l). Factor j(k).
-5*(k - 2)*(k - 1)