What is z in -1/4*z**t - 1/4 - 1/2*z = 0?
-1
Let f(d) be the third derivative of -1/21*d**7 + 0*d**4 + 0*d**3 - 3*d**2 + 0*d + 7/60*d**6 + 0 - 1/15*d**5. Factor f(g).
-2*g**2*(g - 1)*(5*g - 2)
Let z be -3 - 1/(((-32)/(-12))/(-8)). Factor z*u**3 + 2/3*u**2 + 4/9*u + 0 - 2/9*u**4.
-2*u*(u - 2)*(u + 1)**2/9
Let q = -13 - -5. Let p = -4 - q. Find b, given that 5*b**5 + 3*b**p + 7*b**4 + 2*b**3 + 3*b**3 = 0.
-1, 0
Let w = 21483 - 21480. Determine n so that -8/3*n**2 - 16/3*n - 2/3*n**5 + 0 + 4*n**w + 2/3*n**4 = 0.
-2, -1, 0, 2
Let d(g) = -5*g**2 + 164*g - 1442. Let y(v) = 5*v**2 - 166*v + 1443. Let x(a) = 2*d(a) + 3*y(a). Factor x(k).
5*(k - 17)**2
Let a(y) be the first derivative of 2/3*y**3 + 13/2*y**4 - 4*y**6 - 2/5*y**5 + 6 + 0*y - y**2. Let a(u) = 0. Calculate u.
-1, -1/3, 0, 1/4, 1
Let u(v) be the second derivative of v + 0*v**3 - 1/15*v**5 + 0 + 1/6*v**4 + 4*v**2. Let k(s) be the first derivative of u(s). Factor k(d).
-4*d*(d - 1)
Let v(p) be the second derivative of -p**4/12 - p**3 + 20*p**2 - 18*p + 2. What is y in v(y) = 0?
-10, 4
Let p(x) be the second derivative of x**5/100 + x**4/60 - x**3/6 + 3*x**2/10 + 64*x - 2. Factor p(b).
(b - 1)**2*(b + 3)/5
Factor -11/6*j - 5 - 1/6*j**2.
-(j + 5)*(j + 6)/6
Suppose 0 = -5*b - 46*n + 45*n + 10, -2*n - 25 = -5*b. Let p(s) be the first derivative of 1/3*s**3 + 0*s + 1/5*s**5 - b + 0*s**2 + 1/2*s**4. Factor p(l).
l**2*(l + 1)**2
Let j = -6784/3 - -2262. Factor 2/5*z - j*z**4 + 0 + 2/15*z**2 - 14/15*z**3.
-2*z*(z + 1)**2*(5*z - 3)/15
Let o(w) be the third derivative of w**8/33600 - w**7/6300 + w**6/3600 + 31*w**4/24 - 24*w**2. Let k(x) be the second derivative of o(x). Factor k(n).
n*(n - 1)**2/5
Solve -20/3*j + 2/3*j**2 + 16 = 0 for j.
4, 6
Let a(h) be the second derivative of h**7/6 + 3*h**6/10 + h**5/10 - 49*h + 1. Factor a(m).
m**3*(m + 1)*(7*m + 2)
Let q be ((-7)/(-1512)*1336 - 7)*-12. Factor 68/9*w + 4/9*w**5 - 112/9*w**2 - 16/9 - 32/9*w**4 + q*w**3.
4*(w - 4)*(w - 1)**4/9
Find m such that 0*m**2 + 0 + 20/3*m**3 + 0*m + 0*m**4 - 5/3*m**5 = 0.
-2, 0, 2
Suppose 2/7*j**3 + 58/7*j**2 + 494/7*j + 1014/7 = 0. Calculate j.
-13, -3
Let q(h) = 2*h**3 + 25*h**2 + 22*h + 5. Let l(u) = 6*u**3 + 74*u**2 + 68*u + 14. Let d(m) = -5*l(m) + 14*q(m). Factor d(v).
-2*v*(v + 2)*(v + 8)
Let r(q) = -2*q**2 - 14*q + 2. Let d be r(-7). Suppose -2*z + 2 = d*l - 4*l, 3*l - 15 = -3*z. Factor -54*f**l - 8/3 - 24*f.
-2*(9*f + 2)**2/3
Let l(k) = -k**3 + k**3 + k**2 + k**3 + k. Let j be 2*(15/50 - (-8)/(-10)). Let s(g) = 2*g**3 + 3*g**2 - 2. Let z(r) = j*l(r) + s(r). Factor z(m).
(m - 1)*(m + 1)*(m + 2)
Factor 1/2 - 1/3*v**3 + 3/2*v**2 - 5/3*v.
-(v - 3)*(v - 1)*(2*v - 1)/6
Let j(x) = -x**3 + 17*x**2 - 28*x - 6. Let c be j(15). Let b be (-41)/c + 4/(-24) + 2. Solve -5/8*w**2 + b*w**4 + 1/8*w**3 + 0 + 3/8*w = 0.
-3, 0, 1
Let r be 792/(-32)*(-8)/(-2). Let o be r/(-27) + (-2)/3. What is v in -2*v - v**2 - o + 6*v + 1 - v**2 = 0?
1
Let d = 8/2599 + 10324/23391. Solve 8/9 - 4/9*h**2 + d*h = 0 for h.
-1, 2
Suppose 15*w - 5*w = 20. Factor o**2 + 88 + 2 + 8 + o**w - 28*o.
2*(o - 7)**2
Let m(r) be the second derivative of -1/36*r**4 - 1/60*r**5 + 0*r**3 + 0*r**2 - 7*r + 0. Solve m(p) = 0.
-1, 0
Suppose 5*x + 152 + 161 = 4*i, 5*x - 2*i + 319 = 0. Let w be (-10)/x + (-10)/65. Factor 1/5*z**2 + w*z - 1/5*z**3 + 0.
-z**2*(z - 1)/5
Let p(r) = -3*r**4 - 11*r**3 + 12*r**2 + 6*r - 4. Let o(q) = q**3 - 1. Let b(s) = -5*o(s) - p(s). Find f such that b(f) = 0.
-3, -1, 1
Let h(t) = -3*t**4 + 15*t**3 - 8*t**2 - 24*t - 2. Let q(j) = 39*j**4 - 195*j**3 + 105*j**2 + 312*j + 27. Let i(r) = 27*h(r) + 2*q(r). Solve i(b) = 0 for b.
-1, 0, 2, 4
Let h(i) be the first derivative of 5*i**4/6 - 416*i**3/9 + 121*i**2/3 + 164*i/3 - 660. Factor h(n).
2*(n - 41)*(n - 1)*(5*n + 2)/3
Let -111/2*k**2 + 13/8*k**3 - 289/4 + 3825/8*k = 0. What is k?
2/13, 17
Let w(v) = -v**2 - 9*v + 3. Let b be w(-4). Suppose 54 = 4*x + b*x. Solve 8*u - 6*u**2 - 1/4*u**4 - 4 + x*u**3 = 0.
2
Let s(i) = i**3 + 1. Suppose 10*q = 14*q + 48. Let w(j) = 4*j**4 - 24*j**3 + 16*j - 12. Let r(u) = q*s(u) - w(u). Factor r(x).
-4*x*(x - 2)**2*(x + 1)
Let m be (4 - 1)*(-164)/(-1476). Find j such that 2/3*j**2 - m*j - 1/3 - 1/3*j**5 - 1/3*j**4 + 2/3*j**3 = 0.
-1, 1
Suppose -t - 3 = -5. Suppose -6*m = -t*m - 8. Factor -4*l**m - 3*l + 13*l**2 - 6*l**2 - 6.
3*(l - 2)*(l + 1)
Let k be (18/4)/3*(-70)/(-15). Let q(p) be the second derivative of 8/15*p**6 + 0 + 2/21*p**k + 2/3*p**4 + 0*p**2 + 0*p**3 + 7*p + p**5. Factor q(i).
4*i**2*(i + 1)**2*(i + 2)
Let r(b) be the third derivative of b**7/5880 - b**5/280 - b**4/84 + 3*b**3/2 - 6*b**2. Let i(z) be the first derivative of r(z). Factor i(h).
(h - 2)*(h + 1)**2/7
Let v(w) = 12*w**2 + 8*w - 8. Let r(g) = 10*g**2 + 9*g - 6. Let l(t) = -4*r(t) + 3*v(t). Factor l(n).
-4*n*(n + 3)
Let j = 699/508 + 111/127. Factor u**2 + 1/2 - j*u.
(u - 2)*(4*u - 1)/4
Let r = -422 - -845/2. Let s(k) be the second derivative of r*k**3 + 1/12*k**4 + 0 - 2*k + k**2. Factor s(p).
(p + 1)*(p + 2)
Factor 3*p**2 + 31*p - 81*p + 5*p**2 - 3*p**2 + 5*p**3 + 40.
5*(p - 2)*(p - 1)*(p + 4)
Suppose -2*s + 5*s = 126. Find y such that 61*y**3 - 16*y**4 - s*y - 16*y**2 + 2*y**5 - 21*y**3 + 36 - 4*y**2 = 0.
-1, 1, 2, 3
Suppose -6*i + i + 15 = 0. Let 8*m + 0*m**i - 8*m**3 + 7*m**3 - 6*m + m**2 = 0. Calculate m.
-1, 0, 2
Let s be -6 + (10 - -8) + -10. Factor 0*t**3 + 2/3*t**4 - 1/3*t**5 + 0 + 1/3*t - 2/3*t**s.
-t*(t - 1)**3*(t + 1)/3
Let g be (-10)/36*(0 + (-3)/450). Let z(l) be the third derivative of 0 + g*l**6 - 2/27*l**3 + 0*l**5 - 1/36*l**4 + 0*l - 5*l**2. Factor z(b).
2*(b - 2)*(b + 1)**2/9
Determine o, given that -28 + 71 + 12 + 596*o**2 + 4 + 29 - 436*o - 12*o**4 - 236*o**3 = 0.
-22, 1/3, 1
Let x(g) be the first derivative of 9/4*g**4 + 0*g + 3/2*g**2 - 5 - 3/5*g**5 - 3*g**3. Factor x(c).
-3*c*(c - 1)**3
Factor 53*q**3 - 36*q**2 + 16 + 45*q**3 + 2*q**4 - 30*q**4 - 20*q - 17*q**3 - 13*q**3.
-4*(q - 1)**3*(7*q + 4)
Let d(s) be the third derivative of 65*s**5/48 + 115*s**4/96 + 5*s**3/12 + 235*s**2. Factor d(b).
5*(5*b + 1)*(13*b + 2)/4
Let d(f) be the third derivative of f**8/112 + f**7/35 - 7*f**6/40 - f**5 - 3*f**4/2 - 125*f**2. Factor d(y).
3*y*(y - 3)*(y + 1)*(y + 2)**2
Suppose -17 - b**2 - 39 - 44 + 70 - 2*b**2 + 21*b = 0. What is b?
2, 5
Suppose -13*j**5 - 65*j**4 - 4*j**5 - 105*j**3 - 33*j + 143*j + 65*j**2 + 12*j**5 = 0. What is j?
-11, -2, -1, 0, 1
Let j(x) = -x**3 + 10*x**2 + 11*x + 10. Let n be j(11). Factor -22*q + n*q**2 - 19*q + 4 + 53*q - 2*q**2.
4*(q + 1)*(2*q + 1)
Let b = -164 + -52. Let t = b + 218. Factor 1/3 - a - 1/3*a**3 + a**t.
-(a - 1)**3/3
Factor -2/7*w**4 + 12/7*w**2 - 6/7*w**3 + 0 + 16/7*w.
-2*w*(w - 2)*(w + 1)*(w + 4)/7
Let v(j) be the first derivative of j**7/525 - j**6/300 - j**5/150 + j**4/60 + 9*j**2/2 + 2. Let q(z) be the second derivative of v(z). Solve q(d) = 0 for d.
-1, 0, 1
Let y(f) be the third derivative of -1/420*f**6 + 0*f - 4/21*f**3 + 1/12*f**4 - 9*f**2 - 1/105*f**5 + 0. Factor y(r).
-2*(r - 1)**2*(r + 4)/7
Solve 25*j**3 + 24*j**4 + 19*j**3 - 2*j**5 + 16*j**2 - 7*j**5 + 0*j**3 = 0 for j.
-2/3, 0, 4
Suppose -4*l = -b + 3*b - 14, 0 = 5*b + 3*l - 21. Factor 6 + 519*f**3 + 20*f**2 - 32*f + 10 - 523*f**b.
-4*(f - 2)**2*(f - 1)
Suppose -26*p + 453 + 171 = 0. Let v(n) = n**3 - 4*n**2 - 10*n + 9. Let c be v(6). Factor -21*l - 2*l**5 + 12*l**4 + 16*l**2 + c*l - p*l**3.
-2*l**2*(l - 2)**3
Let -2/9*s**2 + 2/3 - 4/9*s = 0. What is s?
-3, 1
Let o = 66566/399 + 319/57. Let r = o - 172. Factor -r*k + 6/7 - 3/7*k**2.
-3*(k - 1)*(k + 2)/7
Suppose -7*l - 775 = -796. Factor 0*h**l + 1/5*h**2 - 1/5*h**4 + 0 + 0*h.
-h**2*(h - 1)*(h + 1)/5
Let d = -1611/7 + 8062/35. Factor 1/5*g + 0*g**2 + 0 - d*g**3.
-g*(g - 1)*(g + 1)/5
Let w(h) be the third derivative of h**6/180 - 17*h**5/45 + 289*h**4/36 + 30*h**2 + 2. Factor w(g).
2*g*(g - 17)**2/3
Let q = 412 + 8. Find c, given that -1148*c**2 - 147*c**5 + 1017*c**3 - q*c + 1442*c**2 + 85*c**4 + 72 - c**4 = 0.
-2, -1, 2/7, 3
Let q be (0 + -6)/(6/(-4)). Suppose 4*b - 20 = -p, b = 2*p - 5*p + 27. Let -7*s**4 + 4*s + p*s**2 - q*s**5 - 2*s**4 + 4*s**4 - 3*s**4 = 0. What is s?
-1, 0, 1
Suppose 0 + 2/7*d**2 - 2/7*d**4 - 1/7*d**5 + 1/7*d**3 + 0*d = 0. What is d?
-2, -1, 0, 1
Suppose z = 4*z - 15. Suppose -3 = -4*j + z. Suppose -t**j