 k(a).
2*a*(a - 1)/13
Suppose 3 = -10*v + 23. Suppose 0*d - 4/5*d**4 + 0*d**3 + 8/5*d**v - 4/5 = 0. What is d?
-1, 1
Let u(a) be the second derivative of 1/11*a**2 - 1/55*a**5 - 1/231*a**7 + 0 + 3*a - 1/55*a**6 + 1/11*a**3 + 1/33*a**4. Factor u(i).
-2*(i - 1)*(i + 1)**4/11
Let v(f) be the third derivative of -f**7/420 + f**6/80 + f**5/20 - f**4/24 + 3*f**2. Let b(u) be the second derivative of v(u). Factor b(a).
-3*(a - 2)*(2*a + 1)
Factor -10*z**3 + 17*z**3 - 10*z**3.
-3*z**3
Let w(s) = -2*s**3 + 12*s**2 + 6*s - 8. Let v(t) = -5*t**3 + 23*t**2 + 11*t - 15. Let n(r) = -4*v(r) + 7*w(r). Solve n(p) = 0 for p.
-2/3, 1
Let i(d) = 3*d**3 - 7*d**2 + 4*d - 7. Let v(c) = 2*c**3 - 5*c**2 + 3*c - 5. Let a(g) = 5*i(g) - 7*v(g). Suppose a(m) = 0. What is m?
-1, 0, 1
Suppose 0 = -24*d + 26*d - 4. Let t(n) be the first derivative of -1/3*n**3 + 0*n**d - 3 + n. Factor t(a).
-(a - 1)*(a + 1)
Let -1/5 - 3/5*v**2 + 3/5*v + 1/5*v**3 = 0. What is v?
1
Suppose 8 - 1 = 4*f + h, -f - 3*h - 12 = 0. Determine r, given that -13*r**4 - 6 - 2*r + f*r**5 - 6*r**3 + 5*r + 12*r**2 + 7*r**4 = 0.
-1, 1, 2
Factor 1/8*m**3 + 1/4 - 1/4*m**2 - 1/8*m.
(m - 2)*(m - 1)*(m + 1)/8
Let z = -11 - -16. Let h(c) be the second derivative of 0 + c - 1/60*c**6 + 0*c**2 - 1/40*c**z + 1/12*c**3 + 1/24*c**4. Factor h(b).
-b*(b - 1)*(b + 1)**2/2
Factor 86/3*a - 14/3*a**3 - 52/3*a**2 - 20/3.
-2*(a - 1)*(a + 5)*(7*a - 2)/3
Let q(s) be the second derivative of s**6/10 + 9*s**5/20 + s**4/4 - 3*s**3/2 - 3*s**2 - s. Find j, given that q(j) = 0.
-2, -1, 1
Factor 8*z**4 + 194*z**2 + 12*z**3 - 194*z**2 - 4*z**5.
-4*z**3*(z - 3)*(z + 1)
Solve 3*g**3 + g + 0*g + 16*g**2 + 23*g - g**2 + 12 = 0 for g.
-2, -1
Factor 74*z**3 - z - 15*z**2 - 79*z**3 + z.
-5*z**2*(z + 3)
Let t = 56 + -390/7. Factor 6/7*o**2 + 2/7*o + t*o**4 + 0 + 6/7*o**3.
2*o*(o + 1)**3/7
Let a(z) = z**2 - 2*z - 3. Let s be a(-2). Suppose -24*f**s - 30*f + 30*f + 3*f**2 + 36*f**4 - 18*f**3 = 0. What is f?
0, 1/2
Let k be (-32)/(-20) + (-8)/(-20). What is v in -4*v + 5*v - 3*v**2 - k*v = 0?
-1/3, 0
Let p(o) = -7*o**3 - o**2 + 16*o + 13. Let d(q) = 36*q**3 + 4*q**2 - 80*q - 64. Let n(a) = 3*d(a) + 16*p(a). Factor n(l).
-4*(l - 2)*(l + 1)*(l + 2)
Let y = -71 + 214/3. Find z such that 0 + 1/3*z**4 + 2/3*z**3 + 0*z + y*z**2 = 0.
-1, 0
Let s(t) be the first derivative of 0*t**2 + 1 - 1/15*t**6 + 0*t + 2/25*t**5 - 2/15*t**3 + 1/10*t**4. Factor s(d).
-2*d**2*(d - 1)**2*(d + 1)/5
Let n(q) = q**3 - 6*q**2 + 5*q + 3. Let a be n(5). Factor 1/2*y**2 - a*y + 9/2.
(y - 3)**2/2
Let h(j) = -7*j**3 - 9*j**2 + 3*j - 5. Let o be -10*1*(-5)/10. Let d(p) = -11*p**3 - 14*p**2 + 5*p - 8. Let b(y) = o*d(y) - 8*h(y). Suppose b(r) = 0. What is r?
-1, 0
Let b(g) be the third derivative of g**8/2240 - g**7/420 - g**6/240 + g**5/20 - g**4/12 + g**2. Let j(w) be the second derivative of b(w). Solve j(d) = 0 for d.
-1, 1, 2
Suppose 5*l = 6*l - 9. Suppose 0 = -5*s + 5, o - l + 3 = -2*s. Let 0 + 0*p**3 - 1/3*p + 2/3*p**2 - 2/3*p**o + 1/3*p**5 = 0. Calculate p.
-1, 0, 1
Let k(m) be the second derivative of 1/110*m**5 + 0*m**2 - 1/77*m**7 - 3*m + 0*m**3 - 2/165*m**6 + 0*m**4 + 0. Factor k(n).
-2*n**3*(n + 1)*(3*n - 1)/11
Let f(h) be the first derivative of 4*h**5/5 - h**4 + 1. Let f(w) = 0. Calculate w.
0, 1
Let h = -98 - -100. Suppose -6/13*u**4 - 10/13*u**h + 14/13*u**3 + 0 + 2/13*u = 0. What is u?
0, 1/3, 1
Let l(c) be the third derivative of -c**9/241920 - c**8/80640 - c**5/60 - 3*c**2. Let r(k) be the third derivative of l(k). Determine g so that r(g) = 0.
-1, 0
Find h such that 50/7*h**3 + 8*h - 76/7*h**2 + 2/7*h**5 - 16/7 - 16/7*h**4 = 0.
1, 2
Let s(f) = f**3 - 20*f**2 + 37*f - 15. Let o be s(18). Factor -k**2 - 1/5*k**o - 4/5 - 8/5*k.
-(k + 1)*(k + 2)**2/5
What is d in 1/6 - 1/2*d + 1/3*d**2 + 1/3*d**3 - 1/2*d**4 + 1/6*d**5 = 0?
-1, 1
Let l(g) = -g**2 + 35*g + 1 + g**3 - g**4 - 35*g. Let k(f) = -14*f**4 - f**3 + 10*f**2 + 3*f + 2. Let n(o) = -k(o) + 2*l(o). Factor n(c).
3*c*(c - 1)*(c + 1)*(4*c + 1)
Determine p so that 5 - 3*p**3 + 3*p**3 + 5*p**4 + 24*p**2 - 34*p**2 = 0.
-1, 1
Let d(w) be the second derivative of -w**4/24 + w**3/4 - w**2/2 + 11*w. Factor d(a).
-(a - 2)*(a - 1)/2
Let w = 751 - 751. Factor 0*a**2 + 0 + 2*a**3 + 2/9*a**5 - 4/3*a**4 + w*a.
2*a**3*(a - 3)**2/9
Let t(b) be the second derivative of -b**6/280 - b**5/140 + 5*b**2/2 - 5*b. Let v(n) be the first derivative of t(n). Factor v(k).
-3*k**2*(k + 1)/7
Let r be (-2)/6*12/(-4). Suppose 4*d - 18 = 2*d. Factor 2*b + b**2 - 3*b**2 + r - d + 6*b.
-2*(b - 2)**2
Let q(z) be the third derivative of 2*z**2 + 1/84*z**4 + 0*z**3 + 0 + 1/70*z**5 + 0*z. What is k in q(k) = 0?
-1/3, 0
Let p(b) be the first derivative of 0*b + 4/3*b**3 - 5 - 4*b**2. Solve p(w) = 0 for w.
0, 2
Let x(j) be the third derivative of -j**8/6720 - j**7/1680 - j**6/1440 - j**3/2 + j**2. Let l(s) be the first derivative of x(s). Determine y so that l(y) = 0.
-1, 0
Let i(x) be the first derivative of 0*x**3 - 1/10*x**5 - 2 + x + 1/6*x**4 + 0*x**2. Let d(t) be the first derivative of i(t). Let d(j) = 0. Calculate j.
0, 1
Let u(p) be the first derivative of -4*p**5/25 - p**4/5 + 4*p**3/5 + 2*p**2 + 8*p/5 - 5. Factor u(k).
-4*(k - 2)*(k + 1)**3/5
Let r = -16 - -21. Factor r*b**2 - 8 - 4*b**3 - 17*b**2 + 36*b - 16*b + 4*b**4.
4*(b - 1)**3*(b + 2)
Suppose 1/3*o - 1/3*o**3 - 1/3*o**2 + 1/3 = 0. Calculate o.
-1, 1
Let z(j) be the second derivative of j**7/5040 + j**6/720 - j**4/3 - 6*j. Let k(o) be the third derivative of z(o). Factor k(v).
v*(v + 2)/2
Let h(i) be the second derivative of i**4/4 + i**3/2 + 2*i. Factor h(l).
3*l*(l + 1)
Let h(u) be the second derivative of u**4/60 + 2*u**3/15 + 2*u**2/5 - 7*u. Find t such that h(t) = 0.
-2
Let p(c) be the third derivative of -1/90*c**5 - 2*c**2 + 1/18*c**3 + 0 + 0*c - 7/144*c**4. Factor p(d).
-(d + 2)*(4*d - 1)/6
Suppose 3*c + p - 9 = 0, 5*c + p = 3*p + 15. Let o = -11 - -67. Let -o*w**2 - 19*w**3 - 23*w**3 - 56*w**c - 8*w = 0. Calculate w.
-2/7, 0
Let u be (296/(-40) - -7)*(-15)/12. Suppose -1/2*d + 0 + 3/2*d**2 + u*d**3 - 3/2*d**4 = 0. Calculate d.
-1, 0, 1/3, 1
Let a(h) be the first derivative of -6*h**3/11 + 47*h**2/11 - 20*h/11 - 31. Suppose a(f) = 0. What is f?
2/9, 5
Let p(o) be the second derivative of o**4/24 - 3*o**3/4 + 2*o**2 + 37*o. Let p(i) = 0. Calculate i.
1, 8
Let s = -865 + 867. Factor -x**s + 0 + x**3 - 1/3*x**4 + 1/3*x.
-x*(x - 1)**3/3
Let y = -928 - -930. Let -2/11*b**y - 8/11*b - 8/11 = 0. Calculate b.
-2
Let v(x) be the first derivative of -3/2*x**2 + 0*x - 1 - 1/60*x**4 + 1/100*x**5 + 0*x**3 - 1/600*x**6. Let a(z) be the second derivative of v(z). Factor a(s).
-s*(s - 2)*(s - 1)/5
Factor k**2 + 18 + k**2 + k**2 - k**2 - 12*k.
2*(k - 3)**2
Let v(p) = 10*p**3 - 4*p. Let z be ((-38)/4 + 1)*2. Let r = z + 12. Let x(c) = -11*c**3 - c**2 + 5*c. Let k(n) = r*v(n) - 4*x(n). Suppose k(a) = 0. What is a?
0, 2/3
Let m(j) be the third derivative of -j**7/525 + j**6/300 + 2*j**5/75 - j**4/15 + 15*j**2. Factor m(r).
-2*r*(r - 2)*(r - 1)*(r + 2)/5
Factor -9/5 - 1/5*j**2 - 2*j.
-(j + 1)*(j + 9)/5
Suppose 3*b + 10 = 5*b. Suppose -b*m + 10 = 0, -3*i - 8 = -4*i - 3*m. Factor -2/5*f**3 + 0 - 2/5*f + 4/5*f**i.
-2*f*(f - 1)**2/5
Let u(o) be the third derivative of 0*o**4 + 0*o + 1/280*o**7 + 1/240*o**5 + 0*o**3 - 1/160*o**6 + 0 + 2*o**2 - 1/1344*o**8. Factor u(l).
-l**2*(l - 1)**3/4
Let g(q) be the first derivative of -q**2 + 4/3*q - 3 + 2/9*q**3. Factor g(d).
2*(d - 2)*(d - 1)/3
Let y = -186 + 260. Let m = 373/5 - y. Determine p, given that 0*p + m*p**4 + 0 - 3/5*p**2 - 3/5*p**5 + 3/5*p**3 = 0.
-1, 0, 1
Let p = 23 + -23. Suppose 0*r + 4*r = a - 11, p = -3*r - 6. Factor 0*o**a + 1/4*o**5 + 1/2*o**4 - 1/4*o - 1/2*o**2 + 0.
o*(o - 1)*(o + 1)**3/4
Let k(x) = 2*x**4 + 8*x**3 - 2*x**2 + 4*x. Let z be -11 - -4 - -1*2. Let l(f) = -2*f**4 - 9*f**3 + 3*f**2 - 5*f. Let t(y) = z*k(y) - 4*l(y). Factor t(g).
-2*g**2*(g + 1)**2
Let x(k) = -k**3 + k + 2. Let l(t) = 6*t**3 - t**2 - 5*t - 11. Let p(a) = -6*l(a) - 33*x(a). Determine o, given that p(o) = 0.
0, 1
Let b(a) be the third derivative of a**10/60480 - a**9/60480 + a**5/20 - 3*a**2. Let d(v) be the third derivative of b(v). What is l in d(l) = 0?
0, 2/5
Find j, given that 2/7*j**2 + 0 + 4/7*j = 0.
-2, 0
Suppose -2*o**3 + 8*o**2 - 10*o - 4*o + 8*o = 0. Calcu