h(d) = 0. Calculate d.
-1, 0
Let k be ((-4)/(-56)*-4)/(2/(-28)). Solve 8/5*i**3 - 2/5*i**k + 4/5*i + 0 - 2*i**2 = 0.
0, 1, 2
Let c(s) be the first derivative of -3*s**5/35 - 3*s**4/7 + 24*s**2/7 + 48*s/7 + 1. Determine h so that c(h) = 0.
-2, 2
Let p(r) = 4*r - 2 + 3*r + 9*r**2 + 3*r**3 + 2*r**3 + 9. Let i(d) = 2*d**3 + 4*d**2 + 3*d + 3. Let c(x) = 14*i(x) - 6*p(x). Determine n so that c(n) = 0.
0, 1
Suppose -10*b - 15 = -15*b. Let z(n) = n**3 + 4*n**2 - 4*n + 5. Let g be z(-5). Factor 0*s + 2/5*s**b - 2/5*s**2 + g.
2*s**2*(s - 1)/5
Let h(b) be the third derivative of b**9/90720 + 11*b**8/90720 + b**7/1890 + b**6/810 - b**5/20 + 6*b**2. Let u(x) be the third derivative of h(x). Factor u(q).
2*(q + 1)*(q + 2)*(3*q + 2)/9
Let b(x) be the third derivative of -x**8/336 + x**7/105 - x**6/120 - 8*x**2. Factor b(k).
-k**3*(k - 1)**2
Let w be (12/36)/(16/2). Let h(k) be the third derivative of 0*k**3 + 0*k + 3*k**2 + 1/30*k**5 + 0 - w*k**4 - 1/120*k**6. Factor h(t).
-t*(t - 1)**2
Factor 18*p**2 + 12 - 13*p**2 - 3*p - 21 - p**3.
-(p - 3)**2*(p + 1)
Let t = -5 - -10. Factor 4*f**4 + 3*f**3 - 6*f**3 + 4*f**2 - 6*f**2 - t*f**4.
-f**2*(f + 1)*(f + 2)
Let g(f) be the first derivative of 2/9*f**3 + 2/3*f**2 + 2/3*f - 4. Solve g(a) = 0 for a.
-1
Let w(c) be the first derivative of -8 + 0*c - 1/12*c**3 - 1/16*c**4 + 1/8*c**2 + 1/20*c**5. What is v in w(v) = 0?
-1, 0, 1
Let o = 14 + -11. Let y(t) be the third derivative of 0*t + 5/1512*t**8 + 0 - 1/135*t**5 + 0*t**o + 0*t**4 - 4/315*t**7 + 2*t**2 + 1/60*t**6. Factor y(v).
2*v**2*(v - 1)**2*(5*v - 2)/9
Let s be 35/4 - (-1)/(-2). Factor s*y**2 + 0 - 12*y**3 + 21/4*y**4 - 3/2*y.
3*y*(y - 1)**2*(7*y - 2)/4
Let b(h) be the second derivative of h**6/135 - h**5/90 - h**4/18 + h**3/27 + 2*h**2/9 + h + 5. Let b(j) = 0. What is j?
-1, 1, 2
Let u be (8/(-7))/((-150)/105). Find v, given that -28/5*v**3 + u*v**2 + 2/5 - 6/5*v**4 + 2*v + 18/5*v**5 = 0.
-1, -1/3, 1
Suppose 0*n = 2*n - 8. Factor 9*f**n - 8 - 9*f**2 + 3*f**2 - 3*f**3 + 8.
3*f**2*(f - 1)*(3*f + 2)
Let k(y) be the first derivative of y**5/10 - 2*y**4/3 + 5*y**3/3 - 2*y**2 - 3*y - 3. Let s(w) be the first derivative of k(w). Factor s(l).
2*(l - 2)*(l - 1)**2
Let i(w) = w**3 - 9*w**2 + 3. Let x be i(9). Let j(f) be the first derivative of 0*f**x - 1/6*f**4 + 0*f + 0*f**2 + 4. Factor j(r).
-2*r**3/3
Let t = -263/5 + 53. Suppose t*x + 4/5*x**2 + 2/5*x**3 + 0 = 0. What is x?
-1, 0
Let d(o) be the third derivative of o**7/1890 - o**6/270 + o**5/135 + 20*o**2. Factor d(k).
k**2*(k - 2)**2/9
Let o be 6/10 + (-3 - (-293)/120). Let t(x) be the third derivative of 0*x**3 + 1/24*x**4 + 0*x - o*x**5 + 0 + 1/80*x**6 + x**2. What is s in t(s) = 0?
0, 2/3, 1
Suppose -2*v = -2*w - 8 + 22, 0 = -3*w + 5*v + 31. Factor 3*o**3 + o**3 - 35*o - 4*o**w + 27*o.
4*o*(o - 2)*(o + 1)
Let r be (-3)/((3 + 6)/3). Let n be r*(-45)/6 + -3. Determine u so that -7/2*u**4 + 0*u - u**2 - n*u**3 + 0 = 0.
-1, -2/7, 0
Let i be 13/(455/10) + 0. Factor i*x**2 - 2/7*x**3 + 0 + 0*x.
-2*x**2*(x - 1)/7
Let r(x) be the first derivative of -x**3 + 6*x**2 - 12*x - 9. Suppose r(u) = 0. Calculate u.
2
Let j(t) be the second derivative of -1/60*t**5 + 0*t**4 + 0 + 0*t**2 - 3*t + 0*t**3 - 1/90*t**6. Let j(s) = 0. Calculate s.
-1, 0
Let x be 1*1*(0 - -3). Let m be (-4)/(-3) - 2/x. Suppose m + z - z**3 - 2/3*z**2 = 0. Calculate z.
-1, -2/3, 1
Let b = -9 + 11. Factor 1/2*u - 1/4*u**b - 1/4.
-(u - 1)**2/4
Let z be (-10)/3 + 4/(-6). Let o be (z/18)/(12/(-18)). Find n such that 4/3*n**2 + o*n - 2/3*n**3 + 1/3*n**5 - 2/3*n**4 - 2/3 = 0.
-1, 1, 2
Let t(i) = i - 14. Let p be t(6). Let d = 8 + p. Let 0*k**3 - 2/5*k**4 + 0*k**2 + 2/5*k**5 + d + 0*k = 0. Calculate k.
0, 1
Let d(b) = 39*b**3 + 15*b**2 - 21*b - 15. Let l(m) = -m**3 - m**2 + 1. Let r(y) = d(y) + 18*l(y). Suppose r(p) = 0. What is p?
-1, 1/7, 1
Let v(c) be the third derivative of 0*c + 0 + 16/9*c**3 + 1/90*c**5 + 2/9*c**4 + 5*c**2. Factor v(p).
2*(p + 4)**2/3
Let r(b) be the second derivative of -b**10/30240 + b**8/3360 - b**6/720 + b**4/12 + 2*b. Let s(x) be the third derivative of r(x). Factor s(m).
-m*(m - 1)**2*(m + 1)**2
Suppose 4*x - 8 = 8. Let g(i) be the first derivative of 0*i + 2/3*i**3 + 7/4*i**x - 1 + 0*i**2. Factor g(r).
r**2*(7*r + 2)
Let c(v) be the second derivative of -2*v**6/225 - v**5/75 - v**4/120 - v**3/6 + v. Let x(i) be the second derivative of c(i). Factor x(p).
-(4*p + 1)**2/5
Let -48/5*a + 2/5*a**2 + 288/5 = 0. What is a?
12
Let o(t) be the second derivative of -t**6/30 + t**5/6 - t**4/4 + t**3/9 - 11*t. Determine v, given that o(v) = 0.
0, 1/3, 1, 2
Let n(v) be the first derivative of 4*v**5/5 + 3*v**4 + 4*v**3/3 - 6*v**2 - 8*v + 16. Find p such that n(p) = 0.
-2, -1, 1
Let g be -3 + (-1 - -7 - (-27)/(-27)). Find d, given that -1/2*d + 0 + 1/2*d**3 - 3/4*d**g = 0.
-1/2, 0, 2
Let x = 0 + 0. Find f, given that -14*f**2 + x + 4*f + 0 + 0 = 0.
0, 2/7
Let d(w) be the first derivative of 2*w**3/21 - w**2 + 12*w/7 + 9. Factor d(v).
2*(v - 6)*(v - 1)/7
Find z, given that 25*z**4 - 4*z + 10*z**2 - 3*z**3 + 0*z**2 - 23*z**4 - 5*z**3 = 0.
0, 1, 2
Let j(b) be the first derivative of 0*b**2 + 1/80*b**5 + 1/24*b**3 + b + 1/24*b**4 + 2. Let x(z) be the first derivative of j(z). Solve x(v) = 0.
-1, 0
Solve 0*i**2 + 3/4*i + 0 - 3/4*i**3 = 0 for i.
-1, 0, 1
Let f(j) be the third derivative of -j**7/35 - j**6/40 + j**5/20 - 3*j**2. Factor f(g).
-3*g**2*(g + 1)*(2*g - 1)
Let r(v) be the third derivative of -v**5/15 + v**4/6 + 11*v**2. Factor r(a).
-4*a*(a - 1)
Let y(b) be the first derivative of b**6/240 - b**5/40 + b**4/16 - b**3/12 + b**2 + 4. Let x(f) be the second derivative of y(f). Find a such that x(a) = 0.
1
Let l(k) be the third derivative of -k**5/150 + k**4/15 - k**3/5 - 2*k**2. Factor l(v).
-2*(v - 3)*(v - 1)/5
Let f(x) be the second derivative of -x**9/7560 + x**7/1260 - x**4/4 + x. Let b(d) be the third derivative of f(d). Suppose b(l) = 0. Calculate l.
-1, 0, 1
Let o(t) = -9*t**3 + 0*t**3 - t**4 - 5*t**2 + 2*t**3 - t + 2*t**3. Let r(x) = x**3 + x**2. Let j(l) = -o(l) - 2*r(l). Solve j(n) = 0 for n.
-1, 0
Suppose w + 0*w = -3, -5*b = -w + 57. Let s be (1/(-3))/(2/b). Solve -1 - s + 4 + 0 + 2*h + h**2 = 0 for h.
-1
Let a(g) be the first derivative of -g**5/5 + 10. Factor a(h).
-h**4
Let h be (3/(-5))/(18/20 - 1). Let a(t) be the third derivative of -1/48*t**4 + 0*t**3 + 0*t - 1/240*t**h + 2*t**2 + 0 + 1/60*t**5. Factor a(k).
-k*(k - 1)**2/2
Suppose 5*b = -o + b - 10, 4*b = -12. Let z be (-112)/(-18) + (-2)/9. Factor -2*q**o - z*q - q**2 + q**2 - 4.
-2*(q + 1)*(q + 2)
Factor -v - 3*v + 5*v**2 + 14*v**5 + 7*v**3 - 7*v**2 + 23*v**3 - 38*v**4.
2*v*(v - 1)**3*(7*v + 2)
Find m, given that 2/3*m**5 + 32/3*m - 2/3*m**4 - 32/3 - 16/3*m**3 + 16/3*m**2 = 0.
-2, 1, 2
Let n(k) be the second derivative of 39*k**5/40 + 41*k**4/8 + 3*k**3/2 - k - 12. Factor n(c).
3*c*(c + 3)*(13*c + 2)/2
Suppose -l + 4*l = 6. Determine a, given that -57 + 57 + 2*a**l + 4*a = 0.
-2, 0
Let k(g) = -g**3 - g**2 - g - 3. Let v(x) = x**3 + x + 2. Let d(s) = 2*k(s) + 3*v(s). Factor d(t).
t*(t - 1)**2
Let l(i) be the third derivative of 5*i**7/21 - 19*i**6/12 + 32*i**5/15 - i**4 - 5*i**2. Factor l(g).
2*g*(g - 3)*(5*g - 2)**2
Let q(d) be the third derivative of d**8/448 - 11*d**7/560 + 3*d**6/80 + 17*d**5/160 - 5*d**4/16 - 3*d**3/4 + 18*d**2. Determine a so that q(a) = 0.
-1, -1/2, 2, 3
Let y(a) be the third derivative of a**7/525 - 7*a**6/150 + 2*a**5/5 - 5*a**4/6 - 25*a**3/3 + a**2 + 60. Suppose y(h) = 0. What is h?
-1, 5
Factor -3*c**2 - 9*c**3 - 9*c - 27*c**2 + 24 - 3*c.
-3*(c + 2)**2*(3*c - 2)
Let x be ((-6)/20)/(0 + (-4)/10). Factor l**4 - 1/4*l**2 + 0 + 0*l - x*l**3.
l**2*(l - 1)*(4*l + 1)/4
Factor -1/2*l + 0 + l**2.
l*(2*l - 1)/2
Let f be 2/9 - 4/(-9). Let x be ((-4)/1)/(3 - 4). Factor 0*i + f*i**2 - 2/3*i**3 - 2/3*i**x + 2/3*i**5 + 0.
2*i**2*(i - 1)**2*(i + 1)/3
Let n(b) be the second derivative of b**6/75 - b**4/20 + b**3/15 - b**2 - b. Let y(z) be the first derivative of n(z). Let y(t) = 0. What is t?
-1, 1/2
Let r(f) be the first derivative of -f**8/672 - f**7/105 - f**6/40 - f**5/30 - f**4/48 - 2*f**2 + 3. Let o(h) be the second derivative of r(h). Factor o(x).
-x*(x + 1)**4/2
Factor 0 + 2/3*z + 1/6*z**4 - 1/6*z**3 - 2/3*z**2.
z*(z - 2)*(z - 1)*(z + 2)/6
Suppose -5*a