pose r(n) = 0. What is n?
1, 5
Let u(w) be the second derivative of -5*w**4/24 + 35*w**3/6 - 245*w**2/4 - 4*w - 6. Factor u(j).
-5*(j - 7)**2/2
Let l(v) be the first derivative of 9 + 3/25*v**5 - 3/5*v**4 + 3/5*v**3 - 12/5*v + 6/5*v**2. Determine f, given that l(f) = 0.
-1, 1, 2
Let i(x) = x**3 - 10*x**2 - 15*x - 16. Let d be i(12). Suppose d = 6*c + 80. Factor 1/5*a + 3/5*a**c - 2/5.
(a + 1)*(3*a - 2)/5
Let f(m) be the third derivative of -1/18*m**3 + 13*m**2 - 1/1260*m**7 + 0 - 1/40*m**5 + 0*m + 1/144*m**6 + 7/144*m**4. Find s, given that f(s) = 0.
1, 2
Let k(o) be the third derivative of -o**5/15 + 15*o**4 - 1350*o**3 - 46*o**2 + 3. Factor k(d).
-4*(d - 45)**2
Let m be (-2)/10 + ((-8164)/30 - -4). Let n = m + 271. Factor n*y**2 - 2*y**3 + 0 + 8/3*y.
-2*y*(y - 2)*(3*y + 2)/3
Suppose 5*j - 256 = -4*c, 4*c = 12 + 4. Factor 3*a**2 - 62*a**3 + j*a**4 - 50*a**3 + 18*a + 40*a**3 + 3.
3*(a - 1)**2*(4*a + 1)**2
Factor 10/13*w**3 + 0 + 2*w**2 - 12/13*w.
2*w*(w + 3)*(5*w - 2)/13
Find l such that 3*l**5 - 6*l**3 - 126*l**2 - 189*l + 15*l**4 + 25 - 69 - 37 = 0.
-3, -1, 3
What is l in 53*l + 5476 + 96*l - 96*l + 243*l + 4*l**2 = 0?
-37
Let s(d) = d - 15. Let v be s(17). Let h(r) be the second derivative of r + 0*r**v + 2/3*r**3 - 2/3*r**4 + 1/5*r**5 + 0. Let h(n) = 0. Calculate n.
0, 1
Let w(g) be the third derivative of -g**8/1008 - 19*g**7/315 - 3*g**6/10 - 53*g**5/90 - 35*g**4/72 + 286*g**2. Factor w(s).
-s*(s + 1)**3*(s + 35)/3
Let j(r) be the second derivative of r**8/1344 + r**7/126 + r**6/144 - r**5/4 + 7*r**4/4 - 20*r. Let v(m) be the third derivative of j(m). Solve v(i) = 0 for i.
-3, -2, 1
Determine w, given that 4/9*w**2 - 2/9*w + 0 - 2/9*w**3 = 0.
0, 1
Let x(y) be the third derivative of -y**7/630 + y**6/9 - 10*y**5/3 + 17*y**4/24 - y**3/6 + 18*y**2. Let u(g) be the second derivative of x(g). Solve u(d) = 0.
10
Let r = 23 - 14. Let m(t) = -r*t**2 + 16 - 16. Let d(a) = a**2. Let q(v) = 6*d(v) + m(v). Factor q(k).
-3*k**2
Let k(o) = o**3 + 12*o**2 - 2*o - 24. Suppose 3*p - 24 = 3*g, 0 = -5*g + 5*p - 3*p - 52. Let l be k(g). Factor 2/3*q**4 + 7/3*q**2 + 2/3*q + 7/3*q**3 + l.
q*(q + 1)*(q + 2)*(2*q + 1)/3
Let u = 1055 + -13707/13. Determine m so that -8/13 - u*m + 2/13*m**3 + 2/13*m**2 = 0.
-2, -1, 2
Let w = -37 + 39. Factor 40 - 32 + 4*y - 4*y**w + 0*y.
-4*(y - 2)*(y + 1)
Let q be -1*((-4)/26 - 2/(-13)). Factor -2*d**2 + 5*d**2 - 27 + q*d**2 - 21*d + 3.
3*(d - 8)*(d + 1)
Find g such that -3*g**4 - 783/5*g**2 - 189/5*g**3 - 90 - 231*g = 0.
-5, -2, -3/5
Let y(l) = -l**2 - 9*l - 2. Let s be y(8). Let m = s - -140. Solve 2/19*g**5 + 0 - 6/19*g**4 + 0*g + 6/19*g**3 - 2/19*g**m = 0.
0, 1
Let y(b) be the second derivative of -b**7/840 + b**6/80 + b**5/4 + b**4/3 - b**2/2 - 14*b. Let x(h) be the third derivative of y(h). What is z in x(z) = 0?
-2, 5
Let c = -8 - -9. Let l = c + 1. Solve -2*h**5 - 2*h**4 + 0*h**4 - 4*h**3 - 4*h**l - 2 + 8*h**4 + 6*h = 0.
-1, 1
Let m(n) be the third derivative of 361*n**7/315 + 19*n**6/45 + 2*n**5/45 - 77*n**2. Factor m(j).
2*j**2*(19*j + 2)**2/3
Let p(t) be the second derivative of -2/9*t**3 + 4*t + 0*t**2 + 1/54*t**4 + 0. Factor p(c).
2*c*(c - 6)/9
Suppose 26 = 9*y - 1. Let m(t) be the second derivative of 0 + 0*t**4 - t - 1/135*t**6 + 0*t**y + 0*t**5 - 1/189*t**7 + 0*t**2. Factor m(s).
-2*s**4*(s + 1)/9
Let h = -6/239 - -275/1434. Let k(n) be the first derivative of 3/20*n**5 - 3 + 5/16*n**4 + 0*n**2 + 0*n - h*n**3. Determine s so that k(s) = 0.
-2, 0, 1/3
Suppose -4*p + 5*p + 5*n - 10 = 0, 15 = 4*p - 5*n. Suppose -8*m + 6 = -p*m. Find b, given that 3*b**2 - 5 - 3 - 3*b + m + 0*b = 0.
-1, 2
Let 0 + 0*d - 3/2*d**5 - 9/2*d**3 - 3/2*d**2 - 9/2*d**4 = 0. Calculate d.
-1, 0
Let l(k) = 42*k**4 + 61*k**3 - 12*k**2 - 139*k + 59. Let m(x) = 11*x**4 + 15*x**3 - 3*x**2 - 35*x + 15. Let u(f) = 6*l(f) - 22*m(f). Find h such that u(h) = 0.
-3, -2, 2/5, 1
Factor 0 + 0*h - 1/9*h**3 - 4/9*h**4 + 1/3*h**2.
-h**2*(h + 1)*(4*h - 3)/9
Let g(m) be the first derivative of m**3/3 - 2*m**2 - 12*m - 56. Determine r, given that g(r) = 0.
-2, 6
Let t(m) = -m**3 - 9*m**2 + 13*m + 20. Let z be t(-10). Let u be (8/40)/((-12)/z). Find w such that 0 + 0*w**2 + 0*w + u*w**3 = 0.
0
Suppose 0 = -5*i + 6*i - 5. Suppose i = -10*p + 25. What is a in 0 - 2/5*a + 2/5*a**3 + 0*a**p = 0?
-1, 0, 1
Let d = 96 - 39. Let h = d - 57. Solve 0*a + h*a**2 + 2/7*a**4 + 0*a**3 + 0 = 0 for a.
0
Let d be (1 - 0)/(6/(-558)). Let t be d/(-9) + (-2)/(-3). Find c such that -8 + c**2 + 72 + t*c**2 - 48*c - c**3 = 0.
4
Let h be (-4 + 0)/((-20)/6). Let p = 7/5 - h. Factor 15*t - 3*t**2 + p*t**3 - 25.
(t - 5)**3/5
Let q(h) be the third derivative of -h**6/240 - 11*h**5/120 - 5*h**4/24 + 2*h**2 + 211*h. Suppose q(a) = 0. What is a?
-10, -1, 0
Suppose -5*v + 113 = k, 4*v - 2*k - 91 + 9 = 0. Factor -4 + 14*u**2 + u - u**3 + 12*u**2 - v*u**2.
-(u - 4)*(u - 1)*(u + 1)
Let h be ((-2)/3)/(3/(-9)). Find m such that 11*m**5 - 52*m**h + 11*m**5 - 10*m**5 + 44*m + 8 + 148*m**2 + 56*m**4 + 104*m**3 = 0.
-1, -2/3
Let i(p) be the second derivative of p**5/70 + p**4/21 - p**3/3 + 4*p**2/7 + 68*p. Factor i(k).
2*(k - 1)**2*(k + 4)/7
Suppose 127 + 77 = 25*f + 43*f. Factor -1/5*b**2 - 1/5*b**f + 0*b + 0.
-b**2*(b + 1)/5
Let v = -1 + 7. Suppose 3*g + 45 = v*g. Suppose -10*m**3 - 7*m**3 + g*m**3 = 0. What is m?
0
Let d(y) = 3*y**2 + 24*y - 28. Let n(w) = -w**2 - 4*w - 4. Let i be n(-3). Let b(r) = -1. Let g(f) = i*d(f) + b(f). Solve g(t) = 0 for t.
-9, 1
Let h(y) be the third derivative of 1/4*y**4 + 1/20*y**5 - 1/70*y**7 - 1/20*y**6 + 0*y - 10*y**2 + 0*y**3 + 0. Factor h(d).
-3*d*(d - 1)*(d + 1)*(d + 2)
Let u(z) = 3*z**4 + 18*z**3 + 318*z**2 - 1290*z - 1611. Let c(r) = -4*r**4 - 20*r**3 - 317*r**2 + 1288*r + 1610. Let h(q) = 6*c(q) + 7*u(q). Factor h(p).
-3*(p - 7)**2*(p + 1)*(p + 11)
Let l(h) be the third derivative of 11*h**8/840 - 4*h**7/105 - h**6/75 - 20*h**2 - 4. Factor l(t).
2*t**3*(t - 2)*(11*t + 2)/5
Let g be (-116)/(-14) + (-12)/42. Suppose 0 = 2*z - 12 + g. Factor 3*t**3 + 5*t**3 + 9*t**4 - 2*t - 1 - 4*t - z*t**3 - 8*t**2.
(t - 1)*(t + 1)*(3*t + 1)**2
Let p be ((-850)/(-20))/(-17)*4/(-5). Let v(r) be the second derivative of 1/40*r**5 - 4*r + r**3 - p*r**2 + 0 - 1/4*r**4. Factor v(x).
(x - 2)**3/2
Let x(v) = 52*v**3 + 32*v**2 + 200*v + 136. Let w(q) = 2*q**3 - q**2 + q - 1. Let i(p) = -24*w(p) + x(p). Factor i(b).
4*(b + 2)**2*(b + 10)
Determine o so that 2/3*o + 0*o**2 - 4/3*o**3 + 2/3*o**5 + 0*o**4 + 0 = 0.
-1, 0, 1
Suppose 8*p - 10 = -2. Let g be ((-100)/40)/(-5*p). Determine q, given that 3/2*q - g*q**3 + 0*q**2 - 1 = 0.
-2, 1
Let u = -29 - -31. Factor -3*d**2 + d**3 - d**2 + u*d**2.
d**2*(d - 2)
Let j = 187 - 187. Let s(h) be the second derivative of 0*h**2 + 1/42*h**7 + 0 - 1/20*h**5 + 8*h + j*h**3 + 1/30*h**6 - 1/12*h**4. Factor s(d).
d**2*(d - 1)*(d + 1)**2
Suppose 484*f**2 + 3*f + 64 + 31*f - 101*f - 265*f - 20*f = 0. Calculate f.
4/11
Let i(n) be the first derivative of -5*n**6/27 - 2*n**5/45 + 5*n**4/18 + 2*n**3/27 - 37. Let i(s) = 0. Calculate s.
-1, -1/5, 0, 1
Suppose -3*v + 19 = -2*l, 4*l = 4*v + l - 24. Let f(o) be the first derivative of -1/3*o**3 - 5 - v*o - 3*o**2. Suppose f(t) = 0. Calculate t.
-3
Let v(l) be the first derivative of 1/6*l**4 - 1/12*l**2 + 0*l + 17 - 1/6*l**3. Suppose v(s) = 0. What is s?
-1/4, 0, 1
Let z(v) = 45*v**4 - 13*v**3 - 5*v - 5. Let f(p) = -22*p**4 + 6*p**3 + 2*p + 2. Let t = -61 - -66. Let u(k) = t*f(k) + 2*z(k). What is x in u(x) = 0?
0, 1/5
Let t(b) = 2*b**5 + b**4 + b**3 + b. Let o(a) = 9*a**5 + 75*a**4 - 159*a**3 + 144*a**2 + 57*a - 96. Let w(j) = -o(j) + 9*t(j). Find p, given that w(p) = 0.
-2/3, 2
Factor -912/7*a**2 + 920/7*a + 296/7*a**3 - 44 + 4/7*a**4.
4*(a - 1)**3*(a + 77)/7
Let j be (-7)/(-1)*29/1. Factor -213*i**2 - 2*i**3 - 3*i**3 + j*i**2 + 15*i.
-5*i*(i - 1)*(i + 3)
Factor 7*g - 21*g - 3*g**3 - 12*g**2 + 50*g.
-3*g*(g - 2)*(g + 6)
Let m = -262 - -417. Factor -153*u - 4*u**3 + 0*u**5 + 2*u**5 + m*u.
2*u*(u - 1)**2*(u + 1)**2
Let s(m) be the third derivative of -m**6/30 - m**5/3 - m**4/2 + 6*m**3 + 74*m**2 - 1. Determine z so that s(z) = 0.
-3, 1
Suppose -7*v + 1063 = 1049. Solve 0 - 3/2*a + 3/4*a**v = 0.
0, 2
Let k be (15/(-45))/((-2)/18). Suppose 3*v + 0*v = 9. Let x**2 + x**5 + v*x**4 - 3*x**k + 3*x**5 - 5*x**5 = 0. Calcul