*2 + 1/5*g**6. Determine z so that a(z) = 0.
-1, 0, 1/3, 1
Let f(m) = m - 1. Let c(p) = 12*p**2 + 5*p - 8. Let o(j) = c(j) - 5*f(j). Suppose o(k) = 0. Calculate k.
-1/2, 1/2
Suppose -3*h + 8 = 2*d, 9 = 2*h + 2*d + 3. Let u be (-1)/(h/106*-1). Let 198*y**3 - 157*y**2 + 44*y - 1 - 28*y**4 - 3 - u*y**4 = 0. Calculate y.
2/9, 1
Determine o, given that -4/9 - 10/9*o - 8/9*o**2 - 2/9*o**3 = 0.
-2, -1
Let b = -6 - -9. Factor 0*j**3 + 0*j**b + j**5 - 2*j**4 + 3*j**2 - j**2 - j.
j*(j - 1)**3*(j + 1)
Solve 4/17*s**2 + 2/17 + 6/17*s = 0.
-1, -1/2
Let v(i) = -4*i**4 - 2*i**3 - 2*i. Let a(y) = -17*y**4 - 9*y**3 - y**2 - 9*y. Let h(w) = -4*a(w) + 18*v(w). Factor h(q).
-4*q**2*(q - 1)*(q + 1)
Let s(f) = f**3 - 7*f + 2. Let o be s(5). Suppose -26*t**4 - 8*t**2 + 4*t - o*t**3 - t**4 + 53*t**3 = 0. What is t?
-1, -2/3, 0, 2/9
Let j be 6/4 - 1/2. Suppose 0*d = -d + j. Let c(v) = v**2 + 1. Let n(p) = -3*p**2 + 1. Let g(w) = d*n(w) + c(w). Suppose g(t) = 0. Calculate t.
-1, 1
Let i(w) be the first derivative of -w**6/60 + w**4/12 + 3*w**2/2 + 3. Let b(k) be the second derivative of i(k). Factor b(o).
-2*o*(o - 1)*(o + 1)
Let r(j) = j**3 - 11*j**2 + j + 3. Let k be r(11). Suppose k*u = 10*u. Factor 2/3*p**4 + 0*p**3 + u*p - 2/3*p**2 + 0.
2*p**2*(p - 1)*(p + 1)/3
Let v be 132/(-88)*8/(-6). Factor 8*k**v - 12*k + 9/2.
(4*k - 3)**2/2
Let s = -137 - -218. Let r = 245/3 - s. Suppose 2/3*i**2 - r + 0*i = 0. Calculate i.
-1, 1
Suppose 2*k = -2*k. Let h = -734/77 + 108/11. Let -4/7*w**2 + 2/7*w + k + h*w**3 = 0. What is w?
0, 1
Let d be -1 + 1 + 1 - -2. Factor -d*j**2 - j + 5*j + j**2.
-2*j*(j - 2)
Solve -135*j**2 + 395*j - 2*j**3 + 45*j**4 + 20 - 335*j + 12*j**3 = 0 for j.
-2, -2/9, 1
Suppose -x + 5*j = -13, x + 7*j - 11*j = 11. Let b(a) be the third derivative of -1/4*a**4 + 0 - 3/20*a**5 - x*a**2 - 1/6*a**3 + 0*a - 1/30*a**6. Factor b(l).
-(l + 1)**2*(4*l + 1)
Factor -23 - 21*p + 3 + 5*p**2 + 7*p**3 + p - 2*p**3.
5*(p - 2)*(p + 1)*(p + 2)
Let v(s) = s**3 + s. Let n(t) be the first derivative of -7*t**4/4 + t**3 - 5*t**2/2 + t + 6. Let y(u) = 3*n(u) + 24*v(u). Factor y(q).
3*(q + 1)**3
Let g be (6/(-5))/(186/(-30) + 6). Let p(j) be the third derivative of 0*j**3 + 1/120*j**5 + 1/96*j**4 + 0 + 1/480*j**g + 0*j + 2*j**2. Let p(t) = 0. What is t?
-1, 0
Let d(m) be the first derivative of -m**4/4 - 2*m**3/3 - m**2/2 - 4. Factor d(q).
-q*(q + 1)**2
Let r(w) be the first derivative of 4*w**3/3 - 4*w**2 + 4*w - 6. Suppose r(i) = 0. What is i?
1
Let x(a) = 2*a**4 + 26*a**3 + 14*a**2 - 10*a + 10. Let t(v) = -v**4 - 9*v**3 - 5*v**2 + 3*v - 3. Let z(o) = -10*t(o) - 3*x(o). Factor z(r).
4*r**2*(r + 1)*(r + 2)
Let t(b) be the third derivative of b**8/7560 - b**7/3780 - b**6/810 - b**3/2 + 2*b**2. Let u(w) be the first derivative of t(w). Factor u(v).
2*v**2*(v - 2)*(v + 1)/9
Let t(j) be the first derivative of 1 + 2/21*j**3 + 0*j + 0*j**2. Solve t(k) = 0 for k.
0
Let u be (8 + -7)/((-1)/(-9)). Let f = u + -5. Factor -2*s**4 + s**2 - 4*s**5 + s**f + 5*s**5 - s**3.
s**2*(s - 1)**2*(s + 1)
Suppose 1 = 5*b - 9. Suppose -l = -0*c + c - b, -10 = -5*l + 3*c. Find j such that 0 + 0*j - 1/2*j**l = 0.
0
Solve -18 + 75*i**4 - 130*i**3 - 2 - 65*i + 65*i + 100*i - 85*i**2 = 0 for i.
-1, 1/3, 2/5, 2
Suppose -u - 11 = -14. Solve 2/3*h**u - 2/3*h + 2/3*h**4 + 0 - 2/3*h**2 = 0.
-1, 0, 1
Factor 18/7*k + 2/7*k**4 - 10/7*k**3 + 0 + 6/7*k**2.
2*k*(k - 3)**2*(k + 1)/7
Let q(y) be the third derivative of 0*y**4 + 1/120*y**5 + 2*y**2 + 0*y + 0*y**3 + 0 + 1/240*y**6. Factor q(t).
t**2*(t + 1)/2
Let i = -165/4 - -42. Let h(x) = x**2 - 3*x + 5. Let u be h(2). Factor -1/4*y**u - 3/4*y + 1/4 + i*y**2.
-(y - 1)**3/4
Let v be 49/14 - (-2)/(-4). Factor s**4 - s**5 - 6*s**v - 4*s - 10*s**2 + 3*s**5 + s**4.
2*s*(s - 2)*(s + 1)**3
Let g(m) be the first derivative of 3*m**4/28 + 5*m**3/7 - 39*m**2/14 + 3*m + 31. Suppose g(a) = 0. Calculate a.
-7, 1
Let z = 36 + -143/4. Suppose -2*b + 4 = -4*w - 0*w, 5*w + b = 2. Suppose -z*t**2 + 1/2*t**3 + 0 - 1/4*t**4 + w*t = 0. Calculate t.
0, 1
Factor 0 + 3/4*g**2 - 1/4*g**3 + 5/2*g.
-g*(g - 5)*(g + 2)/4
Let k(v) be the first derivative of 1/14*v**4 + 4/7*v - 2/35*v**5 - 5/7*v**2 + 2/7*v**3 - 1. Determine j, given that k(j) = 0.
-2, 1
Let m(o) be the third derivative of -o**6/300 + o**5/150 + o**4/60 - o**3/15 + 2*o**2. Find l such that m(l) = 0.
-1, 1
Let z(p) be the second derivative of -1/36*p**4 - 1/9*p**3 + 0*p**2 + 7*p + 0. Determine t, given that z(t) = 0.
-2, 0
Let a(i) be the first derivative of -i**6/14 - 2*i**5/7 - i**4/28 + 2*i**3/7 - 51. Determine p, given that a(p) = 0.
-3, -1, 0, 2/3
Let f be (-5)/2*2/5 - -4. Factor 0*t + 2/9*t**2 + 8/9*t**f + 0.
2*t**2*(4*t + 1)/9
Let l(h) = 2*h**2 - 6*h - 6. Let q be l(4). Factor 0 - 1/2*k**q + 1/6*k**3 + 1/3*k.
k*(k - 2)*(k - 1)/6
Let b(r) = -r**4. Let o(j) = -3*j**5 - 3*j**4 - 6*j**3. Let f(q) = 6*b(q) + o(q). Let f(a) = 0. What is a?
-2, -1, 0
Let q(j) be the third derivative of 2/21*j**3 - 1/420*j**6 + 1/735*j**7 + 0*j + 3*j**2 + 0 - 1/70*j**5 + 1/84*j**4. Factor q(r).
2*(r - 2)*(r - 1)*(r + 1)**2/7
Let n(c) be the second derivative of -c**9/6048 + c**8/1680 - c**7/1680 + c**3/2 - c. Let i(t) be the second derivative of n(t). Let i(x) = 0. What is x?
0, 1
Let u(a) be the second derivative of a**9/12096 - a**7/3360 - a**3/6 - 3*a. Let j(y) be the second derivative of u(y). Determine m so that j(m) = 0.
-1, 0, 1
Let o(y) be the third derivative of 7*y**5/10 + y**4/24 + y**3/6 - 3*y**2. Let x be o(-1). Factor x*d - 4 - 147*d**2 + 343/2*d**3.
(7*d - 2)**3/2
Let s(w) be the second derivative of 2/75*w**6 + 4*w - 1/10*w**2 - 1/30*w**3 + 3/20*w**4 + 0 - 11/100*w**5. Let s(i) = 0. Calculate i.
-1/4, 1
Let x(d) be the first derivative of -d**8/168 + d**7/35 - d**6/20 + d**5/30 - 2*d**2 + 4. Let z(s) be the second derivative of x(s). Factor z(a).
-2*a**2*(a - 1)**3
Let v = 58 - 54. Determine n so that 0 - 8/3*n - 10*n**3 - 7/3*n**v - 12*n**2 = 0.
-2, -2/7, 0
Let s(i) = 3*i**2 + 2*i - 1. Let h(b) = -b**2 - b. Let w(u) = 5*h(u) + 2*s(u). Solve w(x) = 0 for x.
-1, 2
Suppose -3*q = 2*p - 7, 0*p - q + 11 = 5*p. Find b such that -6*b**3 + 4*b**3 - p*b - 3*b**2 - b**2 = 0.
-1, 0
Let w(p) = 5*p**2 + 5*p - 4. Let d(j) = -16*j**2 - 16*j + 11. Let x(s) = 2*d(s) + 7*w(s). Solve x(r) = 0 for r.
-2, 1
Factor -383 + 391 - x**2 + 6*x - x**2.
-2*(x - 4)*(x + 1)
Let c = -18 + 17. Let y(u) = -u**2 - u - 1. Let m(w) = -2*w**2 - 6*w - 4. Let o(q) = c*m(q) + 4*y(q). Find x, given that o(x) = 0.
0, 1
Let r(b) be the second derivative of b**6/1260 - b**4/84 - b**3/3 - b. Let d(w) be the second derivative of r(w). Find h, given that d(h) = 0.
-1, 1
Let m = 11849 - 35158/3. Let k = 4291/33 - m. Suppose 4/11*h - k*h**3 + 2/11*h**2 - 2/11*h**4 + 0 = 0. Calculate h.
-2, -1, 0, 1
Let a(f) be the third derivative of f**8/112 + f**7/50 - 3*f**6/100 - f**5/10 + f**4/40 + 3*f**3/10 + 15*f**2. Find j such that a(j) = 0.
-1, 3/5, 1
Let d = -32 + 30. Let c be 99/(-22)*d/3. Solve -54/5*t - 54/5 - 18/5*t**2 - 2/5*t**c = 0 for t.
-3
Suppose t = 4*t - 9. Let s(y) be the first derivative of 0*y - 1/3*y**2 - 1/9*y**t + 1/12*y**4 - 2. Factor s(d).
d*(d - 2)*(d + 1)/3
Let n(a) be the third derivative of a**8/504 - a**6/90 + a**4/36 + 2*a**2. Factor n(h).
2*h*(h - 1)**2*(h + 1)**2/3
Suppose -7*r = -4*r - 15. Suppose s - r - 5 = -p, 3*s - 40 = -4*p. Let -p*j**4 - 21/2*j**5 - 3/2*j + 12*j**3 - 1 + 11*j**2 = 0. What is j?
-1, -2/7, 1/3, 1
Let q be -5 + ((-18)/(-15))/((-36)/(-160)). Let -1/3*v - 2/3 + q*v**2 = 0. What is v?
-1, 2
Let h(g) = -3*g**4 + 15*g**3 + 13*g**2 + 14*g + 4. Let y(r) = -2*r - 1. Let w be y(-3). Let f(l) = l**4 - l**3 + l**2. Let o(k) = w*f(k) + h(k). Factor o(i).
2*(i + 1)**3*(i + 2)
Let q = 7 - 3. Let z(i) = -i**2 + i + 2. Let j(b) = -4*b + 1 - 5*b + 10*b. Let p(u) = q*j(u) - 2*z(u). Factor p(r).
2*r*(r + 1)
Let r(b) be the first derivative of -b**4/32 + b**3/24 + 3. Factor r(t).
-t**2*(t - 1)/8
Let i(y) = 0*y + 5*y - 5 - 4*y. Let v be i(5). Factor -2*p - p**3 - p**4 + 3*p**3 + 1 + v.
-(p - 1)**3*(p + 1)
Let g = 8020 + -216572/27. Let c = 46/189 - g. Find b, given that c*b**3 - 10/7*b + 2/7*b**2 + 4/7 - 6/7*b**4 = 0.
-1, 2/3, 1
Let h(y) = y**3 + 6*y**2 - y - 5. Let a be h(-6). Suppose -a = r - 3. Solve 1/3*j**r + j - j**3 - 1/3 = 0.
-1, 1/3, 1
Let u(p) be the