 Find s, given that q(s) = 0.
-2, -1, 1/4
Let t(v) = -21*v**2 - 351*v + 489. Let i(m) = -3*m**2 - 51*m + 70. Let f(l) = 27*i(l) - 4*t(l). Suppose f(j) = 0. What is j?
-11, 2
Let c be -7*(-48)/112 - -2. Factor 16/5*k**2 + 14/5*k - 4/5*k**4 + 4/5*k**3 + 4/5 - 2/5*k**c.
-2*(k - 2)*(k + 1)**4/5
Let a(r) = -r**2 - 2*r. Let g be a(-2). Determine h so that -10 - 5*h**2 - 19*h**2 + g*h**3 + 5*h**3 + 4*h**2 + 25*h = 0.
1, 2
Let o(q) be the third derivative of -46*q**7/735 - q**6/105 + 23*q**5/35 - 20*q**4/21 - 8*q**3/21 + 53*q**2. Solve o(c) = 0.
-2, -2/23, 1
Let w(n) = 4*n**2 - n - 1. Let u be w(-1). Let 5*o**3 + 26*o**4 + 9*o**2 + 7*o + 18*o**4 + 2 - 43*o**u = 0. Calculate o.
-2, -1
Let f = 1/6930 + 6299/6930. Determine w so that 0 - 2/11*w**5 + f*w**4 + 8/11*w**2 - 16/11*w**3 + 0*w = 0.
0, 1, 2
Let z = 2415 - 2411. Let 112/3*l - 20*l**2 - 64/3 - 1/3*l**z + 13/3*l**3 = 0. Calculate l.
1, 4
Suppose -3/2*w**2 + 6 + 9/2*w**3 - 18*w = 0. What is w?
-2, 1/3, 2
Let y(z) be the first derivative of -9/35*z**5 - 5/7*z**3 + 0*z + 9 + 1/14*z**6 + 0*z**2 - 27/28*z**4. Let y(i) = 0. Calculate i.
-1, 0, 5
Factor -6/7*a**3 - 2/7*a**4 + 0*a**2 + 8/7*a + 0.
-2*a*(a - 1)*(a + 2)**2/7
Let o(u) = -2*u**3 - 12*u**2 + 8*u - 3. Let h = -61 - -55. Let a(i) = -9*i**3 - 48*i**2 + 31*i - 13. Let r(y) = h*a(y) + 26*o(y). Factor r(n).
2*n*(n - 11)*(n - 1)
Let x(t) be the second derivative of -t**6/120 - 7*t**5/20 - 49*t**4/8 + 23*t**3/6 - 24*t. Let h(r) be the second derivative of x(r). Factor h(f).
-3*(f + 7)**2
Let j(l) be the second derivative of 9*l**7/560 - l**6/40 + l**5/60 + 3*l**4/2 - 4*l. Let m(x) be the third derivative of j(x). Factor m(o).
(9*o - 2)**2/2
Factor 9*z - 25/2*z**2 + 1/2*z**4 + 3*z**3 + 0.
z*(z - 2)*(z - 1)*(z + 9)/2
Let x(f) = -f**3 - 6*f**2 - 7*f + 1. Let o be x(-5). Factor -11*n - o*n + 2*n**4 + 18*n - 8*n**3 + 10*n**2.
2*n*(n - 2)*(n - 1)**2
Let j(m) be the first derivative of -34 + 0*m**3 + 1/2*m**2 + 1/2*m - 1/10*m**5 - 1/4*m**4. Factor j(p).
-(p - 1)*(p + 1)**3/2
Let a(u) be the first derivative of u**6/360 - u**5/15 + 2*u**4/3 + 10*u**3/3 + 6. Let x(m) be the third derivative of a(m). What is f in x(f) = 0?
4
Let l(s) be the first derivative of 0*s + 5*s**2 + 5/4*s**4 - 5*s**3 + 22. Factor l(h).
5*h*(h - 2)*(h - 1)
Factor -10 - 5*r**3 + 9*r + 190*r**2 + 7*r - 185*r**2 - r - 10*r**3 + 5*r**4.
5*(r - 2)*(r - 1)**2*(r + 1)
Factor -289 - 75*i + 30*i**2 - 218 - 356 + 363 + 5*i**3.
5*(i - 4)*(i + 5)**2
Let w(c) be the second derivative of c**8/1680 + 13*c**3/6 + 6*c. Let q(o) be the second derivative of w(o). Suppose q(h) = 0. Calculate h.
0
Let p(s) be the third derivative of s**7/20 + s**6/240 - 23*s**5/120 - s**4/48 + s**3/6 + s**2 - 38. What is y in p(y) = 0?
-1, -1/3, 2/7, 1
Solve -295 + 458*r**3 - 285*r**2 + 129*r - 242*r**3 - 221*r**3 + 456*r = 0.
-59, 1
Let p(d) be the third derivative of 4*d**7/105 - 13*d**6/100 + 11*d**5/75 - d**4/20 - 214*d**2 - 1. What is g in p(g) = 0?
0, 1/5, 3/4, 1
Suppose -4*n + 157 = -115. Suppose 4*c**4 - 36*c - 36*c + 12*c**2 + n*c - 12*c**3 = 0. What is c?
0, 1
Let f(c) be the second derivative of -5*c**6/6 - 18*c**5 - 1565*c**4/12 - 395*c**3 - 360*c**2 - 187*c. Solve f(s) = 0 for s.
-8, -3, -2/5
Let k(h) be the second derivative of -5*h**6/6 - 13*h**5/4 - 15*h**4/4 + 5*h**3/6 + 5*h**2 + 35*h. Let k(o) = 0. Calculate o.
-1, 2/5
Let m(k) be the second derivative of -21*k - 1/10*k**5 + 1/3*k**3 + 2/3*k**2 + 0 - 1/9*k**4. What is a in m(a) = 0?
-1, -2/3, 1
Let b(d) = -10*d**2 - 83*d - 89. Let q be b(-7). Suppose -k = -4*k + 9. Find o, given that 2/5*o**k + 8/5*o + 0 + 8/5*o**q = 0.
-2, 0
Let z(s) = 2*s**5 - 14*s**4 + 18*s**3 - 18*s**2 + 8*s. Let y(l) = 2*l**5 - 15*l**4 + 18*l**3 - 19*l**2 + 9*l. Let v(m) = 4*y(m) - 5*z(m). Factor v(h).
-2*h*(h - 2)*(h - 1)**3
Let x(d) be the second derivative of 8/9*d**3 + 8/3*d**2 + 12*d + 1/9*d**4 + 0. Factor x(r).
4*(r + 2)**2/3
Let j be 2/(-9) - 76/(-18). Suppose 2*o + 2 = 8. Determine p, given that 2*p**j - p**2 + o*p**5 - p**5 - 4*p**3 + p**2 = 0.
-2, 0, 1
Let g(c) be the first derivative of c**8/2016 - c**6/360 + c**4/144 + 9*c**2/2 + 14. Let i(x) be the second derivative of g(x). Let i(h) = 0. Calculate h.
-1, 0, 1
What is y in 14*y - 17/2*y**2 + 5/2*y**4 - 14*y**3 + 6 = 0?
-1, -2/5, 1, 6
Let h = 37/702 + 1/351. Let f(k) be the first derivative of h*k**4 - 1/9*k**2 + 0*k + 0*k**3 - 4. Factor f(b).
2*b*(b - 1)*(b + 1)/9
Let j(k) be the third derivative of -k**8/2352 + k**7/1470 + k**6/168 + k**5/140 - 2*k**2 + 14*k. Factor j(o).
-o**2*(o - 3)*(o + 1)**2/7
Let y(j) be the second derivative of 9*j**5/4 + 225*j**4/4 - 10*j**3/3 - 150*j**2 + 39*j. Suppose y(a) = 0. Calculate a.
-15, -2/3, 2/3
Let f = -4461 - -31228/7. Suppose 3/7*u**3 - 1/7*u**5 - 2/7*u - 1/7*u**4 + f*u**2 + 0 = 0. Calculate u.
-2, -1, 0, 1
Let u(i) = -3*i**3 + 126*i**2 + 141*i - 261. Let o(b) = 3*b**3 - 126*b**2 - 139*b + 260. Let r(q) = -3*o(q) - 2*u(q). Let r(w) = 0. What is w?
-2, 1, 43
Factor 14 - 41/3*o - 1/3*o**2.
-(o - 1)*(o + 42)/3
Let s(c) be the first derivative of c**5/5 - 9*c**4/16 + c**3/2 - c**2/8 + 25. Factor s(x).
x*(x - 1)**2*(4*x - 1)/4
Factor -24*z - 6*z**3 + 60*z**2 + 182*z**2 - 6 - 56*z + 6.
-2*z*(z - 40)*(3*z - 1)
Solve 4772*b**4 - 32*b + 95 - 16*b**3 - 96*b**2 - 31 - 4752*b**4 + 6*b**5 = 0 for b.
-2, 2/3, 2
Let f(d) be the second derivative of 37*d + 2/15*d**6 + 1/2*d**4 + 0 - 1/6*d**3 + 0*d**2 - 9/20*d**5. Solve f(z) = 0 for z.
0, 1/4, 1
Find u, given that -3*u**2 - 13*u**4 - 9*u**5 + 16*u**4 - 67*u**3 + 78*u**3 - 2*u = 0.
-1, -1/3, 0, 2/3, 1
Let t(n) be the second derivative of -2*n**6/15 - n**5/5 + 4*n**4 - 8*n**3/3 - 32*n**2 + 10*n + 1. Factor t(k).
-4*(k - 2)**2*(k + 1)*(k + 4)
Let j(w) be the first derivative of 39*w**4/4 - 210*w**3 - 567*w**2/2 + 102*w - 65. Factor j(p).
3*(p - 17)*(p + 1)*(13*p - 2)
Let y(v) = 5*v**3 + 5*v**2 - 2. Let g(h) = h**3 + 2*h**2 + h - 1. Let w(p) = 6*g(p) - 3*y(p). Factor w(q).
-3*q*(q + 1)*(3*q - 2)
Let m(w) = -6*w**3 - 6*w**2 + 15. Let j(c) = 14*c**3 - 3*c**2 - 2*c. Let t be j(-1). Let s(b) = -b**3 - b**2 + 2. Let h(a) = t*s(a) + 2*m(a). Factor h(o).
3*o**2*(o + 1)
Let 0 + 3481/5*j**3 + 236/5*j**2 + 4/5*j = 0. What is j?
-2/59, 0
Suppose -3*t + h = -5*t + 257, -t - 5*h + 151 = 0. Let r be 3/(-4)*(-1232)/t. Suppose -3 + 8/3*a**3 - 1/3*a**4 - r*a**2 + 8*a = 0. What is a?
1, 3
Let q be 5/20 + 82/312 + 98/637. Let -10/9*l**2 + 0 - q*l = 0. Calculate l.
-3/5, 0
Let s(v) be the third derivative of -v**8/26880 + v**7/1260 - 7*v**6/2880 + 7*v**4/4 + 4*v**2 + 10. Let f(c) be the second derivative of s(c). Solve f(i) = 0.
0, 1, 7
Let -4*o + 0 - 30/7*o**2 - 2/7*o**3 = 0. What is o?
-14, -1, 0
Let u(l) be the third derivative of -1/320*l**6 + 0*l**3 - 3/160*l**5 + 21*l**2 + 0*l**4 + 0*l + 0. Factor u(o).
-3*o**2*(o + 3)/8
Let b(g) = 35*g**3 - 95*g**2 + 125*g - 15. Let f(l) = -2*l**3 + 2*l**2 - l + 1. Let i(q) = -b(q) - 15*f(q). Find p, given that i(p) = 0.
0, 2, 11
Find n such that -2/5*n**5 - 8*n**2 + 36/5*n**3 + 0 - 8/5*n**4 + 14/5*n = 0.
-7, 0, 1
Let k(y) = -y**2 + y + 2. Let u(o) = 4*o**3 - 2*o**2 - o - 15. Let x(w) = 14*k(w) + 2*u(w). Let x(z) = 0. Calculate z.
1/4, 1
Let l(b) be the first derivative of b**4/48 - b**3/12 + 17*b - 1. Let w(a) be the first derivative of l(a). Factor w(n).
n*(n - 2)/4
Let u(a) be the third derivative of -a**11/83160 + a**9/15120 - a**5/12 + 9*a**2. Let m(s) be the third derivative of u(s). Factor m(t).
-4*t**3*(t - 1)*(t + 1)
Let y be -5 + 0 + 4 + 3. Let q(l) = l**2 + 5*l - 9. Let r be q(y). What is a in -4/3*a**3 + 4/3*a**4 - 1/3*a**r + 5/3*a - 2/3 - 2/3*a**2 = 0?
-1, 1, 2
Let v be 4/(-10) + (-240)/(-100). Suppose -a**2 + 130*a - a**2 - a**5 - 129*a + v*a**4 = 0. What is a?
-1, 0, 1
Let d(b) = -5*b + 4. Let v be d(-2). Suppose -v*m = -9*m - 60. Factor 2*y - 3*y**3 - 9*y + 0*y - 5*y - m*y**2.
-3*y*(y + 2)**2
Determine f so that -225/4*f**2 + 18 + 33/4*f**3 + 177/2*f = 0.
-2/11, 3, 4
Let q(t) = -27*t**3 + 267*t**2 - 167*t + 29. Let p(k) = -108*k**3 + 1071*k**2 - 669*k + 117. Let w(j) = 2*p(j) - 9*q(j). Determine o, given that w(o) = 0.
1/3, 9
Suppose -22 + 54 = 2*p. Let n be p/(-8)*(-1)/5. Let 2/5*i - 2/5*i**2 - n*i**3 + 2/5*i**4 + 0 = 0. Calculate i.
-1, 0, 1
Let j(t) be the second derivative of -t**7/3 + 29*t**6/15 + 19*t**5/5 