Let l(k) = -a(k) + 5*j(k). Solve l(y) = 0 for y.
-4, 0, 2
Let d(y) be the first derivative of 0*y**2 + 0*y - 5/4*y**4 + 0*y**3 + 10. Solve d(b) = 0.
0
Let q(r) be the second derivative of -1/960*r**6 + 1/64*r**4 - r + 0 + 13/2*r**2 + 0*r**5 - 1/24*r**3. Let n(z) be the first derivative of q(z). Factor n(y).
-(y - 1)**2*(y + 2)/8
Let l(v) be the second derivative of -v**6/195 - 3*v**5/65 - 5*v**4/78 - 6*v - 16. Factor l(a).
-2*a**2*(a + 1)*(a + 5)/13
Let g(o) be the second derivative of 3/32*o**4 + 8*o + 0*o**2 + 9/160*o**5 + 0 + 1/16*o**3 + 1/80*o**6. Factor g(m).
3*m*(m + 1)**3/8
Let j be 2/(12/7)*(-50)/1. Let x = j + 59. Factor 0*b - 2/3 + x*b**2.
2*(b - 1)*(b + 1)/3
Let w(d) be the second derivative of -d**4/66 + 40*d**3/33 - 39*d**2/11 + 235*d. Factor w(x).
-2*(x - 39)*(x - 1)/11
Let m(y) be the first derivative of 15 + 5/4*y**4 - 7/3*y**3 + 3/2*y**2 + 0*y - 1/5*y**5. Let m(w) = 0. Calculate w.
0, 1, 3
Suppose 3*u = -u + 152. Let r = 58 - u. Factor -41*j**3 - 2 + 3 - 2 + 21*j**2 + j + r*j**4.
(j - 1)**2*(4*j - 1)*(5*j + 1)
Let a = 27295/3 - 9098. Factor 3*d**2 + a*d**3 + 16/3 + 8*d.
(d + 1)*(d + 4)**2/3
Let p = 12997/18 + -722. Let k(y) be the first derivative of 1/6*y + p*y**3 - 1/6*y**2 + 7. What is s in k(s) = 0?
1
Determine q, given that 3*q**3 - 27*q + 28*q - 19*q - 26*q - 31*q = 0.
-5, 0, 5
Let j = 3979/15 + -265. Let u(s) be the first derivative of -2/5*s - 3 + j*s**3 + 0*s**4 - 2/25*s**5 + 0*s**2. What is q in u(q) = 0?
-1, 1
Factor 2/3*i**2 - 82/3*i + 0.
2*i*(i - 41)/3
Determine g, given that -1620*g + 1075*g - 5 - 21*g**3 - 45 - 212*g**2 = 0.
-5, -2/21
Find g, given that 0 - 3/2*g**3 - 7/2*g**2 + 15/8*g**4 - 1/8*g**5 + 0*g = 0.
-1, 0, 2, 14
Let v(x) be the first derivative of 4*x**3/3 - 156*x**2 + 6084*x - 90. Factor v(b).
4*(b - 39)**2
Let p(m) be the second derivative of m**4/54 - 178*m**3/27 + 7921*m**2/9 - m + 64. Solve p(y) = 0 for y.
89
Let r(z) = 16*z - 4. Let n be r(4). Suppose 2*x - 5*x - 5*p + 49 = 0, 4*x - n = -4*p. Factor v**2 - 1 + 9*v**3 + v + 3*v**3 + 0*v - x*v**3.
-(v - 1)**2*(v + 1)
Let l = 8197/2 - 4097. Suppose l*j**3 + j**2 + 1/4*j + 1/4*j**5 + j**4 + 0 = 0. Calculate j.
-1, 0
Let h(s) be the second derivative of 0 + 4*s**3 + 16*s**2 + 1/3*s**4 - 21*s. Factor h(v).
4*(v + 2)*(v + 4)
Factor -396/7 + 80/7*q - 4/7*q**2.
-4*(q - 11)*(q - 9)/7
Factor -160*g - 171*g**3 + 166*g**3 - 79*g**2 + 244*g**2.
-5*g*(g - 32)*(g - 1)
Let t = 7934 - 7931. Suppose -3/4*d**2 - 3*d - t = 0. What is d?
-2
Let c = -35 + 42. Let q(r) be the third derivative of -1/20*r**6 + 0 + 0*r + 0*r**5 + 1/70*r**c - 1/2*r**3 + 1/4*r**4 + 4*r**2. Factor q(v).
3*(v - 1)**3*(v + 1)
Let u(q) = 10*q**5 + 17*q**4 - 29*q**3 - 18*q**2 + 44*q - 13. Let x(b) = b**5 + b**4 - 2*b**3 + 1. Let i(a) = 4*u(a) - 44*x(a). Let i(m) = 0. Calculate m.
-2, 1, 2, 3
Determine t, given that 1/2*t**2 + 26 + 17/2*t = 0.
-13, -4
Suppose 0 = 3*a + 3*h, 6*h + 6 = -2*a + h. Factor 3*g - g - 18*g**a + 36*g**2 - 11*g**2.
g*(7*g + 2)
Let b = -166 - -139. Let y be 3/4 - b/252. What is h in -36/7*h - y*h**4 - 78/7*h**2 - 40/7*h**3 + 0 = 0?
-3, -2/3, 0
Let p(f) be the second derivative of -2*f**7/7 + 26*f**6/15 - 17*f**5/5 + f**4 + 16*f**3/3 - 8*f**2 + 5*f. Solve p(b) = 0 for b.
-2/3, 1, 2
Find s such that -2/3*s**4 + 2/9*s**5 + 0*s + 0 + 0*s**2 + 4/9*s**3 = 0.
0, 1, 2
Factor 0 + 4/9*p**3 + 2/9*p**2 + 0*p - 2/3*p**4.
-2*p**2*(p - 1)*(3*p + 1)/9
Let n(g) = -g**3 - 4*g**2 + 11*g - 6. Let j = -84 + 78. Let y be n(j). Factor 0 + y*k**2 + 27/5*k**3 - 3/5*k.
3*k*(3*k - 1)*(3*k + 1)/5
Let p(x) = -7*x**2 - 7*x - 18. Let d(i) = -i**2 - 2. Let t(j) = -6*d(j) + p(j). Let t(r) = 0. Calculate r.
-6, -1
Factor -102/5*f - 3/5*f**2 - 99/5.
-3*(f + 1)*(f + 33)/5
Suppose -2*f + 6*f + 40 = 4*x, 2*f + 11 = x. Solve -27/4*d**5 + 9*d**4 + 3*d + 15/4*d**3 - x*d**2 + 0 = 0.
-1, 0, 2/3, 1
Suppose 41*c - 20 = 37*c. Let i(q) be the third derivative of 1/2520*q**8 + 0*q**3 + 0*q**6 - 1/525*q**7 + 0*q**4 + 0*q + 6*q**2 + 0 + 2/225*q**c. Factor i(a).
2*a**2*(a - 2)**2*(a + 1)/15
Let w(i) = -3*i**2 + 3*i. Let a(g) = -4*g + g + g + g**2 + g. Let n(z) = -17*a(z) - 6*w(z). Determine r so that n(r) = 0.
0, 1
Let w(r) = 3*r + 20. Let n be w(-5). Factor -6*d**4 + 9*d**2 - 18*d**5 + 16*d**n - d**2.
-2*d**2*(d - 1)*(d + 2)**2
Let j = -6 - -10. Suppose 6*n - j*n - 6 = 0. Factor -17*o**n + 15*o**2 + 22*o**3 - 7 - 13.
5*(o - 1)*(o + 2)**2
Let k = -3/20 - -2/5. Let w(v) be the second derivative of 0*v**3 + k*v**4 + 0 - 1/20*v**5 - 2*v**2 - v. Find m, given that w(m) = 0.
-1, 2
Let r(x) = x**2 + 12*x. Let o(l) = 9*l + 3*l - 3*l**2 + 5*l**2. Let q(b) = -3*o(b) + 4*r(b). Find g such that q(g) = 0.
0, 6
Let a be 3/12 + 607/20. Let g = a + -30. Factor -18/5*t - 27/5 - g*t**2.
-3*(t + 3)**2/5
Let v be (-24 + 30)*(-4)/(-12). Find d such that -1/2*d**4 + 0 - d + d**3 + 1/2*d**v = 0.
-1, 0, 1, 2
Let v = 6054 - 6052. What is l in 0 - 3/2*l**4 + l**3 + 0*l + 1/2*l**v = 0?
-1/3, 0, 1
Let q(w) be the third derivative of w**8/2352 - 8*w**7/245 + 27*w**6/28 - 90*w**5/7 + 3375*w**4/56 + 8*w**2. Factor q(j).
j*(j - 15)**3*(j - 3)/7
Suppose q = -3*o + 4*o + 12, -4*o - 26 = -2*q. What is h in -7*h - 4*h**2 + 24 - q*h - 2*h = 0?
-6, 1
Let h = 2820 + -2818. Suppose -3/2 + h*g - 1/2*g**2 = 0. What is g?
1, 3
Let b(i) be the first derivative of 7*i + 1/48*i**4 + 1/2*i**2 - 1/6*i**3 - 1. Let f(j) be the first derivative of b(j). What is k in f(k) = 0?
2
Let y be 129/86 - (1 - 2 - 2). Let m(z) be the second derivative of 6*z + 27/2*z**2 - 1/20*z**5 + 3/4*z**4 - y*z**3 + 0. Let m(q) = 0. What is q?
3
Let l(m) = 15*m - 150. Let x be l(10). Let i(d) be the second derivative of 1/80*d**5 + 0*d**2 - 6*d + 0 - 1/24*d**3 + x*d**4. Solve i(g) = 0.
-1, 0, 1
Factor 0*y + 0 + 1/4*y**2.
y**2/4
Let -5*m**4 + 0 - 15*m**2 + 5*m - 75/4*m**3 = 0. What is m?
-2, 0, 1/4
Suppose -q = 2*q. Suppose z - 6*z = q. Find d such that -3*d + 3*d**2 - 12*d**3 + 11*d**3 + 1 + z*d = 0.
1
Suppose -q = -60 - 20. Factor q*o + 12 - 2*o**2 - 32 - 66*o.
-2*(o - 5)*(o - 2)
Suppose -4*s + t - 6*t + 965 = 0, 2*s = 5*t + 475. Suppose s*n + 320 + 51*n**2 - 6*n**3 + 9*n**2 + 11*n**3 = 0. Calculate n.
-4
Suppose s = -2*h + 2, -4*s - 5 = 4*h - 1. What is o in o**h + 5*o**5 + o**2 + o**4 - 4*o**5 - 2*o**3 - 2*o**4 = 0?
-1, 0, 1
Let m(c) be the third derivative of c**6/240 - 29*c**5/60 + 841*c**4/48 + 95*c**2. Let m(t) = 0. What is t?
0, 29
Let a(s) = 9*s**2 + 4*s + 28. Let y(p) = p**2 - 2*p. Let v(z) = 2*a(z) - 14*y(z). Factor v(m).
4*(m + 2)*(m + 7)
Solve 116*t**4 + 6*t**5 - 168*t**2 + 3*t**5 - 5*t**5 + 52*t**4 + 160*t**3 + 0*t**3 - 164*t = 0.
-41, -1, 0, 1
Let y(t) = 25*t**3 + 25*t**2 + 9. Let w(q) = 6*q**3 + 6*q**2 + 2. Let o = -30 - -39. Let g(v) = o*w(v) - 2*y(v). Let g(a) = 0. What is a?
-1, 0
Find i, given that -2/5*i**5 - 14/5*i**3 + 0*i**2 + 0*i - 16/5*i**4 + 0 = 0.
-7, -1, 0
Let l = -159 + 156. Let s be -2 + ((-4)/8 - l). Suppose -1/2*p**2 - s*p + 1 = 0. What is p?
-2, 1
Factor -176*d**2 - 46/3*d**3 - 1/3*d**4 + 529/3 + 46/3*d.
-(d - 1)*(d + 1)*(d + 23)**2/3
Let t be (-2)/(-8) + 21/12. Factor x**t + 18*x - 3 - 19*x + 1.
(x - 2)*(x + 1)
Let u(a) be the first derivative of -2*a**5/45 - 4*a**4/9 - 4*a**3/3 - 16*a**2/9 - 10*a/9 - 100. Solve u(p) = 0.
-5, -1
Suppose -1/2*z + 3*z**2 - 3 + 1/2*z**3 = 0. What is z?
-6, -1, 1
Let b(n) be the second derivative of n**7/840 - n**6/240 + 29*n**4/12 + 2*n. Let s(y) be the third derivative of b(y). Suppose s(o) = 0. Calculate o.
0, 1
Let r = -30513554 - -65146432854/2135. Let c = -8/305 - r. Let 8/7*v**3 - 4/7*v**5 + c*v**2 - 8/7 - 8/7*v**4 - 4/7*v = 0. What is v?
-2, -1, 1
Let f(k) be the second derivative of -3*k + 0 + 1/30*k**5 + 1/3*k**3 - 3/2*k**2 - 1/6*k**4. Let m(g) be the first derivative of f(g). Factor m(p).
2*(p - 1)**2
Factor 2/7*p - 15/7 + 1/7*p**2.
(p - 3)*(p + 5)/7
Factor -6728/9*j + 6496/9*j**2 + 0 + 2/9*j**4 + 230/9*j**3.
2*j*(j - 1)*(j + 58)**2/9
Let j(q) be the second derivative of -2*q**2 + 14*q + 2*q**4 - q**3 - 7/10*q**5 + 0. Determine m, given that j(m) = 0.
-2/7, 1
Suppose c + 5 + 21 = 4*r, 2*c = 4. Solve -3*k + 2*k**2 + r*k - k**2 = 0.
-4, 0
Factor 8*j**5 - 172*j**3 - j**5 - 18*j**5 + 7*j**5 - 176*j**4.
-4*j**3*(j + 1)*(j + 43)
Let x(j) be the third derivative of j**7/1680 - j**6/96 + 3*j**5/40 - 13*j**4/12 - 4*j**2. Let