olve b(i) = 0.
1, 7
Suppose -3*t = -2*w + 32, -12 = -4*w - 5*t + 8. Factor -13 + 4*i**2 - 1 - 8*i - w - 8.
4*(i - 4)*(i + 2)
Let q(f) be the second derivative of -f**6/240 - f**5/40 - 7*f**3/3 - 12*f. Let y(w) be the second derivative of q(w). Factor y(l).
-3*l*(l + 2)/2
Factor 12/5*z - z**3 + 3/5*z**2 + 4/5.
-(z - 2)*(z + 1)*(5*z + 2)/5
Suppose -2*c + 18 = 4*c. Factor -149*o + 30*o - o**c - o**3 - 43*o - 36*o**2.
-2*o*(o + 9)**2
Let f be (-12)/(-54) - 16/(-9). Factor 0*g - 193 + g**f - 15*g + 4*g**2 + 173.
5*(g - 4)*(g + 1)
Let i(d) be the first derivative of d**4/18 + 8*d**3/27 + 4*d**2/9 - 17. Solve i(j) = 0.
-2, 0
Let z(c) be the third derivative of -c**8/112 - c**7/35 + c**6/40 + c**5/10 + 82*c**2 + 2. Find v such that z(v) = 0.
-2, -1, 0, 1
Suppose -4*b = -4*s - 16, 4*s + s + 10 = 0. Factor 9*y**2 - 21*y + y**b + 30 - 7*y**2.
3*(y - 5)*(y - 2)
Let p(o) be the first derivative of 16/3*o**2 - 10/9*o**3 + 1/12*o**4 - 32/3*o + 14. Determine x so that p(x) = 0.
2, 4
Let j be (6/(-3))/(16/(-152)). Let r = 21 - j. Factor 8/7*b**r + 8/7*b + 2/7*b**3 + 0.
2*b*(b + 2)**2/7
Let y = 5 - 1. Let t be (15/25)/((14/(-28))/(10/(-4))). Determine o so that 21/4*o**2 - 5*o - 25/4*o**y + 1 + 5*o**t = 0.
-1, 2/5, 1
Let v(n) be the second derivative of -n**4/66 - 4*n**3/33 - 3*n**2/11 + 11*n + 3. Find m, given that v(m) = 0.
-3, -1
Let x = -1441 - -1443. Let p = -178 - -539/3. Let 1/3*o**3 + o + 3 - p*o**x = 0. Calculate o.
-1, 3
Let a(y) be the first derivative of -2 + 0*y + 3/5*y**2 - 3/20*y**4 + 1/5*y**3. Solve a(x) = 0.
-1, 0, 2
Suppose -w = 3, 2*w + 6 = 26*a - 22*a. Let o(y) be the second derivative of 0 + a*y**3 - 1/4*y**4 + 3/2*y**2 + 5*y. Factor o(s).
-3*(s - 1)*(s + 1)
Let k(l) be the third derivative of l**7/105 + l**6/12 - l**5/5 + 21*l**2. Let j(p) = -p**4 - 4*p**3 + 5*p**2. Let t(r) = 12*j(r) + 5*k(r). Factor t(q).
-2*q**3*(q - 1)
Let v(c) be the first derivative of -4*c**6/51 + 42*c**5/85 + 47*c**4/34 + 10*c**3/17 - 7*c**2/17 - 66. Find x such that v(x) = 0.
-1, 0, 1/4, 7
Let c = 493/762 + 5/254. Determine i, given that 2/3*i - 4/3 + 4/3*i**2 - c*i**3 = 0.
-1, 1, 2
Find k such that k**2 + 4/5 - 9/5*k = 0.
4/5, 1
Let s(d) be the first derivative of -5*d**6/24 + 13*d**5/4 - 5*d**4 - 235*d**3/3 - 40*d**2 + 320*d + 48. Solve s(t) = 0.
-2, 1, 8
Suppose 4*o + 10 = 2*o. Let y(d) = -d**4 + d**3 - d**2 - d + 1. Let i(p) = -2*p**4 - 7*p**3 + 4*p**2 - 5*p + 5. Let z(h) = o*y(h) + i(h). Solve z(t) = 0 for t.
0, 1, 3
Suppose 3*q = 2*p - 15 - 26, 0 = p + 2*q - 24. Suppose 0 = 17*a - 12 - p. Suppose 1/2*v**3 - 3/2*v**a - 1/2 + 3/2*v = 0. Calculate v.
1
Let p = 4 + -1. Let f = 102 + -98. Factor -7*u**4 - 3*u - 18*u**3 + 12*u**2 - p*u**5 + 0*u + 19*u**f.
-3*u*(u - 1)**4
Let f(h) be the second derivative of 4*h**7/21 + 7*h**6/15 - h**5/5 - 4*h**4/3 - 2*h**3/3 + h**2 + 51*h. Factor f(n).
2*(n - 1)*(n + 1)**3*(4*n - 1)
Let r = 1/106 - -1481/318. Let u(f) be the first derivative of 5 + 1/3*f**6 - 2*f**5 - r*f**3 + 9/2*f**4 + 0*f + 2*f**2. Determine b, given that u(b) = 0.
0, 1, 2
Let h(j) = -j**4 + j**2 + 1. Let z(b) = -20*b**5 + 2*b**4 + 40*b**3 + 2*b**2 - 20*b - 10. Let k(n) = -6*h(n) - z(n). What is y in k(y) = 0?
-1, -1/5, 1
Factor -3/2*g**3 + 3/2*g + 3*g**2 - 3.
-3*(g - 2)*(g - 1)*(g + 1)/2
Let t(w) be the first derivative of w**6 - 2*w**5/5 - 3*w**4/2 + 2*w**3/3 + 639. Let t(y) = 0. Calculate y.
-1, 0, 1/3, 1
Let g(s) be the first derivative of -5*s**4/4 + 10*s**3/3 + 61. Suppose g(n) = 0. Calculate n.
0, 2
Let n(g) be the third derivative of -1/252*g**4 + 0*g - 12*g**2 + 1/126*g**5 + 0 - 5/63*g**3 + 1/1260*g**6. Factor n(w).
2*(w - 1)*(w + 1)*(w + 5)/21
Factor -16/3 - 2/3*j**2 - 6*j.
-2*(j + 1)*(j + 8)/3
Let v(c) be the first derivative of -2/55*c**5 + 1/22*c**4 + 0*c**2 + 0*c - 1/33*c**6 + 2/33*c**3 - 18. Factor v(s).
-2*s**2*(s - 1)*(s + 1)**2/11
Let f(t) be the first derivative of t**8/3360 + t**7/420 + t**6/144 + t**5/120 - t**3 + 3. Let v(b) be the third derivative of f(b). Factor v(g).
g*(g + 1)**2*(g + 2)/2
Let a(w) = 4*w**2 - 34*w - 44. Let t(h) = -h**2 - 4. Let y(o) = -a(o) - 5*t(o). Factor y(g).
(g + 2)*(g + 32)
Let j(r) = r**2 + 4*r - 22. Let z be j(4). Suppose -3*s = 3*b - s - z, 15 = 5*b + 5*s. Factor 0 - 5/4*n**3 - n**2 - 1/4*n - 1/2*n**b.
-n*(n + 1)**2*(2*n + 1)/4
Let u(p) be the third derivative of -p**8/3192 + 2*p**7/399 - 3*p**6/95 + 9*p**5/95 - 9*p**4/76 + 504*p**2. Find w, given that u(w) = 0.
0, 1, 3
Let t = -73727/6 - -12374. Let a = t + -86. Factor -a*i**3 - 8*i + 2*i**2 + 32/3.
-(i - 4)**3/6
Let b = 49 - 45. Suppose 0 = -4*l + 3*f - 12, 0*f + b*f - 16 = 5*l. Let 0*n**2 + l + 3/7*n - 3/7*n**3 = 0. Calculate n.
-1, 0, 1
Find f such that -19*f**3 - 144*f**3 - 104*f**4 - 12*f**5 - 128*f**2 - 45*f**3 + 32*f**2 = 0.
-6, -2, -2/3, 0
Determine t so that -110*t**4 + 205590*t**5 - 292*t**3 - 24*t - 164*t**2 - 78*t**4 - 205626*t**5 = 0.
-3, -1, -2/9, 0
Let u(z) be the second derivative of 0 + 0*z**4 - 3/40*z**5 + 1/4*z**3 + 0*z**2 + 7*z. Factor u(w).
-3*w*(w - 1)*(w + 1)/2
Let l(s) be the third derivative of -s**5/15 - 32*s**4/3 - 2048*s**3/3 + 2*s**2 + 93. Factor l(p).
-4*(p + 32)**2
Suppose -3*x = 2*s - 5*x - 2, 4*s = x + 1. Solve 4*j**2 - 1 + s*j**2 + 4*j**2 - 7*j**2 = 0 for j.
-1, 1
Suppose -4*o - 16 = -4*r, -25*r = -26*r + 6. Factor 7/5*k - 1/5*k**o - 2.
-(k - 5)*(k - 2)/5
Let b be ((-5)/(-4))/((-70)/(-112)). Let m(a) be the second derivative of -1/100*a**5 + 6*a + 1/60*a**4 + 0 + 1/15*a**3 + 0*a**b. Factor m(i).
-i*(i - 2)*(i + 1)/5
Let q(p) be the first derivative of 19 - 5/22*p**4 + 0*p + 2/55*p**5 - 4/11*p**2 + 16/33*p**3. Find y, given that q(y) = 0.
0, 1, 2
Find z such that 2/7*z**3 + 14*z**2 - 7290/7 + 918/7*z = 0.
-27, 5
Let v(t) = -13*t**2 - 14*t - 12. Let m(c) = -2*c**2 - 2. Let h(z) = -6*m(z) + v(z). Solve h(n) = 0.
-14, 0
Factor 50 + 5681*b**3 - 3440*b - 24565*b**5 + 354*b**3 - 9442*b**2 - 337 + 31790*b**4 - 58*b**2 - 33.
-5*(b - 1)**2*(17*b + 4)**3
Let u = -15 - -17. Let g be 252/117 - u/13. Suppose -4/3*h**2 + 4/3*h**3 + 2/3*h**5 - g*h + 2*h**4 - 2/3 = 0. Calculate h.
-1, 1
Let v(j) be the third derivative of j**5/120 - 25*j**4/48 + 2*j**3 + 2*j**2 + 15*j. Determine i, given that v(i) = 0.
1, 24
Let f(l) be the second derivative of 0 + 3*l - 9/8*l**2 + 1/4*l**3 + 1/16*l**4. Solve f(s) = 0 for s.
-3, 1
Let r = 53 + -34. Solve 3*j**3 - 5*j - r*j**2 + 3*j**3 - j + 15*j**4 + 4*j**2 = 0.
-1, -2/5, 0, 1
Determine k, given that 18/5*k**3 - 42/5*k + 0 - 27/5*k**2 + 3/5*k**4 = 0.
-7, -1, 0, 2
Let v(d) be the third derivative of -d**6/120 - d**5/20 - 7*d**3/6 - 12*d**2. Let c(g) be the first derivative of v(g). Factor c(f).
-3*f*(f + 2)
Let v be (5 + -1)/(19/76). Factor -v*x - 3 - 6 - 4*x**2 - 2 - 1.
-4*(x + 1)*(x + 3)
Factor 16*v**2 - 102 + 7*v**2 - 37*v**2 + 11*v**2 - 57*v.
-3*(v + 2)*(v + 17)
Let f = 2/1451 - -71087/8706. Factor 7/3*x - f - 1/6*x**2.
-(x - 7)**2/6
Suppose -244*z + 40*z**2 + 26*z**3 - 22*z**4 + 457*z - 221*z = 0. Calculate z.
-1, 0, 2/11, 2
Let o = 53 - 45. Suppose -3*q + 3 = 3*a - 15, 2*q = 3*a - o. Determine c, given that 0*c + 3/2*c**2 - 15/4*c**3 + 15/4*c**5 - 3/2*c**a + 0 = 0.
-1, 0, 2/5, 1
Let v = -1431 + 1432. Let f(h) be the first derivative of -6*h + 3/2*h**2 - 5/2*h**6 + 3*h**4 - 24/5*h**5 + 10*h**3 + v. Let f(x) = 0. Calculate x.
-1, 2/5, 1
Let s(i) = i**5 - 9*i**4 - 7*i**3 + 7*i**2 - 10. Let l(g) = -3*g**5 + 26*g**4 + 20*g**3 - 21*g**2 + 29. Let w(o) = -6*l(o) - 17*s(o). Factor w(a).
(a - 2)**2*(a - 1)*(a + 1)**2
Let h(a) = 7*a**5 - 29*a**4 + 8*a**3 + 14*a**2 + 6*a. Let k(z) = -z**5 + 4*z**4 - z**3 - z**2 - z. Let u(x) = -h(x) - 6*k(x). Factor u(y).
-y**2*(y - 4)*(y - 2)*(y + 1)
Solve 849*a**2 - 426*a**2 - 427*a**2 + 8*a = 0.
0, 2
Factor 78*x**2 - 62 + 90*x + 162 - 91*x**2 + 92*x**3 - 323*x**2 + 68*x**3.
2*(4*x - 5)**2*(5*x + 2)
Suppose -5 = -2*d + u, -u = 3*d + 2 + 3. Let 1/2*q - 1/4*q**2 + d = 0. Calculate q.
0, 2
Let c = 1597/2758 + -3/394. Find o, given that 2/7*o**5 + 0*o + 0*o**2 - c*o**4 + 2/7*o**3 + 0 = 0.
0, 1
Let y(m) = -39*m - 195. Let v be y(-5). Let x(g) = -g + 4. Let u be x(4). Determine q so that -2*q**3 + v + 0*q**2 + 4*q + 1/4*q**5 + u*q**4 = 0.
-2, 0, 2
Suppose 6*x = 17*x - 8*x - 6. Let -9/2 - 7/2*m**x - 15/2*m - 1/2*m**3 = 0. Calculate m.
-3, -1
Let m = 1891 - 17015/9. Let i(j) be the