Find z such that -15*z - 17*z**3 - 127*z**f + 27*z**4 + 95*z - 63*z**3 + 84*z**2 + 16 = 0.
-1, -2/5, 1
Suppose 0 = -3*h + 7*h + 2*h. Let j(f) be the first derivative of h*f - 1/10*f**4 - 4 + 2/5*f**3 - 2/5*f**2. Factor j(u).
-2*u*(u - 2)*(u - 1)/5
Let b = -8231/6 + 1372. Factor 1/2*i + 1/3 + b*i**2.
(i + 1)*(i + 2)/6
Let o(l) = -6*l**3 + 17*l**2 - 21*l + 7. Let h(v) = -v**3 + 2*v**2 - v - 1. Let w(s) = -15*h(s) + 3*o(s). Find i such that w(i) = 0.
2, 3
Let y(c) be the first derivative of -5*c**3/3 + 395*c**2 - 31205*c - 257. Let y(q) = 0. Calculate q.
79
Let n(h) be the second derivative of -h**7/140 + h**5/20 - h**3/4 - 7*h**2/2 - 5*h. Let g(w) be the first derivative of n(w). Factor g(u).
-3*(u - 1)**2*(u + 1)**2/2
What is p in 99 - 99 + 24*p**3 - 3*p**4 + 15*p**2 - 12*p**3 = 0?
-1, 0, 5
Let g be 6/(-12)*(-2)/3. Factor g*q - 1/3*q**2 + 2/3.
-(q - 2)*(q + 1)/3
Let a(w) be the first derivative of w**3/4 - 15*w**2/8 + 3*w + 304. Solve a(h) = 0 for h.
1, 4
Suppose 12*q + 2 = 13*q. Factor -3*g**2 - 4*g**q + 8*g**2 - 5*g**2.
-4*g**2
Let u(h) be the third derivative of -3*h**6/280 + 13*h**5/105 - 5*h**4/14 - 8*h**3/21 + 38*h**2 - 3*h. Find z, given that u(z) = 0.
-2/9, 2, 4
Factor 45*p + 15*p**2 + 54*p**3 + 25 - 109*p**3 + 50*p**3.
-5*(p - 5)*(p + 1)**2
Let m be (-3)/(1 + -2) + 48. Let y = m - 35. Factor -y*c**4 - 3*c**4 + 6*c**2 - c**4 - c**4 - 15*c**3.
-3*c**2*(c + 1)*(7*c - 2)
Factor 1672*p - 18*p**3 - 1816*p - 97*p**2 - 2*p**4 + p**4 - 64.
-(p + 1)**2*(p + 8)**2
Solve -1366*m**2 - 131*m**4 + 110*m**4 - 76*m**3 + 2964*m - 1521 + 20*m**4 = 0 for m.
-39, 1
Let n be (2 - -3)/(110/44). Factor -6/7*t + 2/7*t**3 + 4/7 + 0*t**n.
2*(t - 1)**2*(t + 2)/7
Suppose -3/4 + 129/8*a - 15/2*a**2 - 63/8*a**3 = 0. What is a?
-2, 1/21, 1
Let b(z) = 50*z**4 + 15*z**3 - 105*z**2 - 55*z - 15. Let r(i) = -7*i**4 - 2*i**3 + 15*i**2 + 8*i + 2. Let d(t) = 2*b(t) + 15*r(t). Factor d(j).
-5*j*(j - 2)*(j + 1)**2
Let x be 18/30*5*(4 - 3). Let s(z) be the first derivative of -1/2*z**2 + 1 - 1/6*z**x - 1/2*z. Let s(k) = 0. What is k?
-1
Let m(v) be the second derivative of -v**7/14 + v**6/2 + 33*v**5/10 + 4*v**4 - 67*v. What is x in m(x) = 0?
-2, -1, 0, 8
Let d be (-20)/(-6)*4/10. Suppose -443*g = -409*g - 61 - 41. Factor -4/3*w**g + 1/3*w**4 - d + 4/3*w + w**2.
(w - 2)**2*(w - 1)*(w + 1)/3
Let s(b) be the second derivative of -2/27*b**3 + 0*b**2 - 1/30*b**5 + 1/189*b**7 - 1/135*b**6 + 5/54*b**4 + 23*b + 0. Suppose s(d) = 0. What is d?
-2, 0, 1
Suppose -2*y = k + 4*k - 25, -k - 5*y = -28. Let l(q) be the second derivative of 7*q - q**5 - 5/9*q**6 + 4/3*q**k - 4/3*q**2 + 11/18*q**4 + 0. Factor l(a).
-2*(a + 1)**2*(5*a - 2)**2/3
Let c(d) = 2*d**2 - 18*d - 20. Let q(z) = -4*z**2 + 37*z + 41. Let h(o) = 7*c(o) + 4*q(o). Factor h(r).
-2*(r - 12)*(r + 1)
Factor 0*t**2 - 6 - 9/2*t + 3/8*t**3.
3*(t - 4)*(t + 2)**2/8
Let f(o) = -3*o**2 - o + 2. Let p(a) = 17*a**2 + 21*a + 6. Let c(r) = -4*f(r) - p(r). Suppose c(z) = 0. What is z?
-2, -7/5
Let l(w) be the third derivative of -w**6/420 + w**5/30 - 5*w**4/42 + 90*w**2. Suppose l(i) = 0. Calculate i.
0, 2, 5
Let y(b) be the first derivative of b**3/9 + 10*b**2/3 + 100*b/3 + 72. Solve y(d) = 0.
-10
Let q be (-1320)/105 - (3 - 17). Find z, given that 2/7*z**5 - q*z + 8/7*z**4 - 4/7 - 4/7*z**2 + 8/7*z**3 = 0.
-2, -1, 1
Let h(q) be the first derivative of 1/6*q**4 - q**2 - 1 + 0*q**3 + q. Let n(l) be the first derivative of h(l). Suppose n(x) = 0. What is x?
-1, 1
Let z = 414 - 414. Factor f**3 - 2/3*f**4 + 4/3*f**2 + z - 1/3*f**5 - 4/3*f.
-f*(f - 1)**2*(f + 2)**2/3
Let m(z) = 3*z**2 - 24*z + 50. Suppose t - 2 = -0*t. Let i(b) = 1. Let a = -96 + 95. Let k(o) = a*m(o) + t*i(o). Suppose k(y) = 0. Calculate y.
4
Let b(r) be the second derivative of r**6/90 + r**5/42 - r**4/21 - 3*r**3/2 + 11*r. Let a(n) be the second derivative of b(n). Factor a(o).
4*(o + 1)*(7*o - 2)/7
Let r = -6974 + 6976. Factor -4*q**4 + 0 - 3*q**3 + 1/2*q - 3/2*q**5 + 0*q**r.
-q*(q + 1)**3*(3*q - 1)/2
Let l(m) = m**2 - 7*m + 9. Let v be 3/3 - (0 - 5). Let y be l(v). Let 7*j**2 - 3*j**4 + j**2 + 3*j**5 + y*j - 2*j**2 - 3 - 6*j**3 = 0. Calculate j.
-1, 1
Suppose 5*y + 2*a = -3 + 10, 0 = -y + a + 7. Suppose c - y*c + 36 = 0. Factor -c*n - 10 + 0 + 0*n**2 - 3*n**2 - 17.
-3*(n + 3)**2
Let j(t) be the second derivative of 0*t**4 + 0*t**2 - 5/6*t**3 - 1/1440*t**6 + 1/480*t**5 - 3*t + 0. Let s(m) be the second derivative of j(m). Factor s(w).
-w*(w - 1)/4
Let v(k) = k**2 + 10*k - 4*k - 2*k**2 - 7*k. Let s be v(0). Factor -2/7*j - 18/7*j**4 - 2*j**2 + s - 30/7*j**3.
-2*j*(j + 1)*(3*j + 1)**2/7
Let g(u) be the second derivative of -17*u**4/6 + 59*u**3/12 - 3*u**2/2 + 2*u - 7. Determine z, given that g(z) = 0.
2/17, 3/4
Factor -250/9 + 10/9*k**2 - 50/9*k + 2/9*k**3.
2*(k - 5)*(k + 5)**2/9
Let u(s) be the first derivative of 64/11*s - 4/11*s**3 - 1/22*s**4 + 0*s**2 + 54. What is t in u(t) = 0?
-4, 2
Let l(s) be the third derivative of s**6/270 + s**5/45 - 17*s**3/3 - s**2. Let q(v) be the first derivative of l(v). Factor q(z).
4*z*(z + 2)/3
Factor -232/11*b - 6728/11 - 2/11*b**2.
-2*(b + 58)**2/11
Let n(s) be the first derivative of -22 - 4/57*s**3 + 16/19*s - 4/19*s**2 + 1/38*s**4. Factor n(w).
2*(w - 2)**2*(w + 2)/19
Suppose 123/2*o**3 - 665/2*o**2 - 169 - 5/2*o**4 - 1131/2*o = 0. What is o?
-1, -2/5, 13
Let x(q) be the third derivative of 0*q**3 + 12*q**2 + 0 + 1/630*q**5 - 1/63*q**4 + 0*q. Find h such that x(h) = 0.
0, 4
Let y be 7 + 1661/(-14345)*(-1 - -56). Factor 0 - y*z + 2/19*z**3 + 2/19*z**2.
2*z*(z - 2)*(z + 3)/19
Let l(d) be the second derivative of -2*d**6/15 - d**5/4 + 7*d**4/12 + d**3/3 - 11*d. Let l(n) = 0. Calculate n.
-2, -1/4, 0, 1
Factor 81/5 - 1/5*w**3 - 17/5*w**2 - 63/5*w.
-(w - 1)*(w + 9)**2/5
Factor 28*n**2 + 30 - 357*n - 131*n - 556*n + 266.
4*(n - 37)*(7*n - 2)
Let h(p) be the first derivative of p**3 + 138*p**2 + 273*p + 312. Factor h(j).
3*(j + 1)*(j + 91)
Let i(b) be the third derivative of b**6/90 + 122*b**5/15 + 7442*b**4/3 + 3631696*b**3/9 - 3*b**2 - 25. Find l such that i(l) = 0.
-122
Let q(a) be the first derivative of -a**3/3 + 11*a**2/2 + 52. What is m in q(m) = 0?
0, 11
Find k such that -530*k**2 + 5 + 525*k**2 - 40*k + 40 = 0.
-9, 1
Let l(c) = 6*c**3 + 3*c**2 + 6*c. Suppose -14 = o - 17. Let d(y) = -5*y**3 + y**3 + 5*y**o - y**2 + y. Let q(g) = -3*d(g) + l(g). Factor q(t).
3*t*(t + 1)**2
Let v = 23339/9 - 2593. Find x, given that 2/9*x**2 + 2/9*x**3 - v*x + 0 - 2/9*x**4 = 0.
-1, 0, 1
Let s(n) = -8*n**4 + 31*n**3 - 200*n**2 + 456*n - 285. Let h(f) = 10*f**4 - 30*f**3 + 200*f**2 - 456*f + 284. Let j(p) = 3*h(p) + 4*s(p). Factor j(r).
-2*(r - 6)**2*(r - 4)*(r - 1)
Factor 4 - 388*l + 131*l + 135*l + 4*l**3 + 132*l + 8*l**2 - 2*l**3.
2*(l + 1)**2*(l + 2)
Let k(h) be the third derivative of 0 + 39*h**2 - 4/3*h**4 + 0*h - 1/30*h**6 + 8/7*h**3 + 17/35*h**5. Factor k(w).
-4*(w - 6)*(w - 1)*(7*w - 2)/7
Find v, given that 21 + 3/5*v**3 - 9/5*v**2 - 99/5*v = 0.
-5, 1, 7
Let g(o) be the first derivative of o**4 - 24*o**3 + 216*o**2 - 864*o - 9. Factor g(z).
4*(z - 6)**3
Let j(u) be the second derivative of -u**6/180 + u**5/12 + u**4/24 - 7*u**3/9 - 5*u**2/3 + 222*u. Find d, given that j(d) = 0.
-1, 2, 10
Let k be 1 - (-33)/(330/(-8)). Determine i so that 0*i - 2/5*i**2 + k*i**4 - 1/5*i**3 + 0 = 0.
-1, 0, 2
Let u(r) = -r**3. Let o(v) = -40*v**3 - 30*v**2 + 35*v + 30. Let l(c) = o(c) - 5*u(c). Let l(z) = 0. Calculate z.
-1, -6/7, 1
Let h(s) = -14*s - 58. Let o be h(-19). Suppose o + 205 - 2*g**2 + 8*g - 421 = 0. Calculate g.
2
Let l be ((-6)/(-40))/((-1500)/800)*(0 + -5). Suppose -l*x**2 - 18/5 - 4*x = 0. Calculate x.
-9, -1
Find i, given that 0*i**2 + 7/5*i + 6/5 - 1/5*i**3 = 0.
-2, -1, 3
Determine j, given that 7/3*j - 1/3*j**3 - 2/3*j**2 - 4/3 = 0.
-4, 1
Let g(z) = -12*z**2 + 4*z + 3. Let s be g(-1). Let f(m) = 5*m + 67. Let n be f(s). Factor -4/11*r + 14/11*r**n - 10/11*r**3 + 0.
-2*r*(r - 1)*(5*r - 2)/11
Let c(p) = -28*p**2 + 8*p - 28. Let d(q) = -q**2 - 3*q + 2. Let w be d(-6). Let v(u) = 9*u**2 - 3*u + 9. Let r(s) = w*v(s) - 5*c(s). Solve r(n) = 0.
1
Let j be (-39)/12 + 4/16. Let r = 0 - j. Determine z, given that -z + 4*z**r - 4*z**4 + 3*z**2 + z**2 - 4*z**5 + z = 0.
-1, 0, 1
Solve -6/7*i**3 + 6/7*i**2 + 0 + 0*i = 0.
0, 1
Let q = -44 - -46. Find f, gi