(s) = -2*s - 2. Let l be g(-2). Factor 3*a - 5*a - 2*a**l + f*a**4 - a**4 + 2*a**3.
2*a*(a - 1)*(a + 1)**2
Let t(i) be the first derivative of -3*i**4/4 + 5*i**3 - 48. Factor t(g).
-3*g**2*(g - 5)
Let b(h) = -7*h**4 + 9*h**3 + 3*h**2 + 5*h + 5. Let i(n) = 8*n**4 - 10*n**3 - 4*n**2 - 6*n - 6. Let y(m) = -6*b(m) - 5*i(m). Suppose y(d) = 0. Calculate d.
0, 1
Let q(o) be the first derivative of -5*o**4/4 - 35*o**3/3 - 20*o**2 + 80*o + 17. Suppose q(a) = 0. Calculate a.
-4, 1
Let l be -10*12/(-30)*(-2)/(-2). Let s(x) be the first derivative of -1/2*x**2 + 3 - 1/5*x**5 + 0*x - x**3 - 3/4*x**l. Factor s(g).
-g*(g + 1)**3
Let s = 5 + 7. Suppose 2*c - 5*n - s - 17 = 0, 4*c + 4*n = -12. Factor -1 + 0 + 0 + 2*t**c - t**4.
-(t - 1)**2*(t + 1)**2
Factor -2/5*d + 8/5 - 1/5*d**2.
-(d - 2)*(d + 4)/5
Let b(d) be the third derivative of -1/150*d**6 - 1/525*d**7 + 0*d + 0 - 3*d**2 + 0*d**4 - 1/150*d**5 + 0*d**3. Factor b(m).
-2*m**2*(m + 1)**2/5
Let s(u) be the second derivative of 0 - 1/12*u**4 - 1/6*u**3 - 4*u + 0*u**2. Suppose s(n) = 0. What is n?
-1, 0
What is b in 8/9*b - 8/9*b**3 - 10/9*b**4 - 2/9 + 4/3*b**2 = 0?
-1, 1/5, 1
Let v(w) be the third derivative of -15*w**8/448 + w**7/280 + 17*w**6/160 - w**5/80 - w**4/16 - 39*w**2. What is c in v(c) = 0?
-1, -1/3, 0, 2/5, 1
Let q be (2 + -2)*(18/(-4) - -4). Let o(n) be the third derivative of 1/240*n**5 + 0 - n**2 + q*n + 1/48*n**4 + 0*n**3. Factor o(f).
f*(f + 2)/4
Let q be 1 + (1 - 2 - -2). Let -3*p**3 + 4*p - p**4 + 2*p**3 - 3*p + p**q = 0. What is p?
-1, 0, 1
Solve 1/2*f + 0 + 3/2*f**3 + 3/2*f**2 + 1/2*f**4 = 0 for f.
-1, 0
Let z(j) be the third derivative of -j**6/15 - 3*j**5/10 - j**4/2 - j**3/3 + 8*j**2. Let z(c) = 0. What is c?
-1, -1/4
Let p be ((-5)/6)/(2 - 33/9). Factor -1/2*j**5 + 1/2*j**3 + 0*j + 1/2*j**2 + 0 - p*j**4.
-j**2*(j - 1)*(j + 1)**2/2
Let o(g) be the first derivative of 3/20*g**4 + 1/30*g**6 + 1 + 0*g**2 + 0*g + 1/15*g**3 + 3/25*g**5. Factor o(x).
x**2*(x + 1)**3/5
Let c(q) be the second derivative of -2*q**4/21 + q**3/21 + q. Factor c(l).
-2*l*(4*l - 1)/7
Factor 0 + 2/3*h**2 + 1/3*h**3 + 0*h.
h**2*(h + 2)/3
Let u = -355499/180 + 1975. Let t(j) be the third derivative of -1/72*j**4 + 0*j - j**2 + 0 - u*j**5 + 0*j**3 + 1/360*j**6 + 1/630*j**7. Factor t(p).
p*(p - 1)*(p + 1)**2/3
Let x be 3/6*(-2 - -2). Suppose v = -2*i + 3 + 11, -3*v + 4*i - 8 = x. Determine b so that -3*b**4 + 4*b**v - b**4 + 2*b**3 - 2*b**4 = 0.
0, 1
Suppose 5*r = p - 24, 52 = 4*p - 5*r - 14. Factor -14*m + m**2 - 1 + p*m.
(m - 1)*(m + 1)
Let u(x) be the third derivative of -x**7/1050 - x**6/300 + x**4/60 + x**3/30 + 2*x**2. Factor u(w).
-(w - 1)*(w + 1)**3/5
What is q in -4/5*q**4 - 4/5*q**3 + 16/5 + 36/5*q**2 - 44/5*q = 0?
-4, 1
Suppose 3*g = -4*m - 0*m + 17, -5*g = m - 17. Let c(x) be the third derivative of -2*x**m + 0*x + 0*x**3 - 1/20*x**5 + 0*x**4 + 0. Find y such that c(y) = 0.
0
Let j be 1 + 2 - (-245)/(-65). Let x = 53/52 + j. Factor -x*o**2 + 1/4*o + 0.
-o*(o - 1)/4
Let x(l) be the first derivative of -3/2*l**2 + l**3 - 3/5*l**5 + 3/4*l**4 + 4 + 0*l. Factor x(g).
-3*g*(g - 1)**2*(g + 1)
Let v(w) = 2*w + 14. Let z be v(-7). Let g(y) be the first derivative of -1/4*y**4 + z*y**3 + 1/2*y**2 + 0*y + 2. Factor g(s).
-s*(s - 1)*(s + 1)
Let w be 964/132 + -4 + (-7)/(-21). Let -20/11*f**3 - 30/11*f + 8/11 + w*f**2 + 0*f**4 + 2/11*f**5 = 0. Calculate f.
-4, 1
Let d(z) be the third derivative of -1/150*z**5 - 4*z**2 - 1/30*z**4 + 0*z**3 + 0*z + 0. Factor d(g).
-2*g*(g + 2)/5
Let m = -84 + 88. Factor 1/2*w**3 - 1/2*w**2 + 0 + 1/2*w**m - 1/2*w.
w*(w - 1)*(w + 1)**2/2
Let x(g) be the first derivative of g**4/20 + 2*g**3/15 - 8. Factor x(v).
v**2*(v + 2)/5
Let v(c) be the second derivative of -c**7/3780 + c**6/1620 + c**5/270 - c**3/3 + 4*c. Let u(g) be the second derivative of v(g). Find q, given that u(q) = 0.
-1, 0, 2
Let r(l) be the third derivative of l**6/30 + 2*l**5/15 - l**4/6 - 4*l**3/3 + 4*l**2. Determine b so that r(b) = 0.
-2, -1, 1
Let a = -303 - -305. Factor 1/3*g**3 - 1/3 + g - g**a.
(g - 1)**3/3
Let t = -73 + 76. Determine s so that -46/13*s**4 - 2*s**2 - 4/13*s - 14/13*s**5 - 54/13*s**t + 0 = 0.
-1, -2/7, 0
Let g(k) be the first derivative of k**5/50 - k**4/30 - k**3/15 + k**2/5 - 2*k + 4. Let c(r) be the first derivative of g(r). Let c(x) = 0. Calculate x.
-1, 1
Let w = 48 - 47. Determine x so that w - 1/4*x**3 - 2*x + 5/4*x**2 = 0.
1, 2
Let x(y) be the third derivative of 1/300*y**5 - 1/30*y**3 + 0 + 2*y**2 - 1/120*y**4 + 0*y + 1/600*y**6. Suppose x(k) = 0. Calculate k.
-1, 1
Suppose 12*w**3 + w + 18*w**4 - 4*w**2 - 14*w**4 - 13*w = 0. What is w?
-3, -1, 0, 1
Let w be ((-36)/30)/(4/(-10)). Suppose 0 = w*v + v - 20. Factor -v*s**4 + 6*s**3 + s**5 + s + 0*s**4 - 4*s**2 + 2*s**4 - s**4.
s*(s - 1)**4
Let b(n) = -n**2 - 8*n - 8. Let r be b(-6). Suppose 5*t = 4 + 6. Solve 0*z - 4*z**r - t*z**3 + 0*z = 0 for z.
-1/2, 0
Let w = -248 - -252. Factor 0 - 2/9*s**5 + 4/9*s**2 + 0*s**3 + 2/9*s - 4/9*s**w.
-2*s*(s - 1)*(s + 1)**3/9
Factor 30 + 2*i**2 + 16*i + 9 - 7.
2*(i + 4)**2
Let g(p) = p**2 + 4*p - 7. Let r be g(-7). Find c, given that -13*c - c**2 - c**2 + r*c + c**3 = 0.
0, 1
Let c be ((-18)/21)/((-135)/72). Let x = 6/7 - c. Factor -x*z**3 + 0 - 4/5*z**2 - 2/5*z.
-2*z*(z + 1)**2/5
Let d(q) be the second derivative of 3*q**5/20 - 3*q**4/4 - 3*q**3 + 12*q**2 - 22*q - 1. Solve d(f) = 0 for f.
-2, 1, 4
Factor -2/15*k - 2/5*k**2 + 8/15.
-2*(k - 1)*(3*k + 4)/15
Let u(i) = -i**3 - 6*i**2 + 6*i - 7. Let z be u(-7). Let h(a) be the first derivative of 0*a**2 + z*a + 1/5*a**5 + 0*a**3 + 1/4*a**4 + 2. Factor h(j).
j**3*(j + 1)
Factor 2/11*n + 0 - 2/11*n**2.
-2*n*(n - 1)/11
Let b(o) = -1. Let g(i) = i**2 - 2*i - 5. Let n(f) = -2*b(f) + g(f). Factor n(w).
(w - 3)*(w + 1)
Let n be 234/(-65) - (0 - -1). Let x = n + 5. Factor 0*d - 6/5*d**3 + x*d**2 + 0 + 6/5*d**4 - 2/5*d**5.
-2*d**2*(d - 1)**3/5
Let s(q) be the third derivative of q**7/210 + q**6/120 - q**5/20 - 5*q**4/24 - q**3/3 - 3*q**2. Find v, given that s(v) = 0.
-1, 2
Let p(z) be the second derivative of 3*z - 5/24*z**4 + 7/12*z**3 + 0 - 1/2*z**2. What is g in p(g) = 0?
2/5, 1
Let a(n) be the first derivative of 2/25*n**5 - 1/5*n**2 + 0*n + 3 - 3/10*n**4 + 2/5*n**3. Factor a(f).
2*f*(f - 1)**3/5
Let v(s) be the third derivative of 0*s + 3*s**2 + 1/40*s**6 - 1/60*s**5 + 0 - 1/70*s**7 + 0*s**3 + 1/336*s**8 + 0*s**4. Suppose v(n) = 0. What is n?
0, 1
Let z = -440 - -442. Solve -4/11*y**z + 2/11 + 2/11*y**4 + 0*y + 0*y**3 = 0 for y.
-1, 1
Let k be 4/(-14)*(-7)/6. Let x(v) be the third derivative of -k*v**3 + 1/24*v**4 + 1/60*v**5 + 0 + 0*v + v**2. Factor x(d).
(d - 1)*(d + 2)
Suppose 0 = 5*g - 3*d + 4 - 14, 2*d + 8 = 4*g. Suppose -4/7*i + 0 - 2/7*i**g = 0. Calculate i.
-2, 0
Let m = 20 - 16. Factor -2*j**4 + 2*j**2 + 4*j**m - 8*j**2 + 4*j.
2*j*(j - 1)**2*(j + 2)
Let d(n) = 0*n**2 + n**2 - 2*n**2. Let f(y) = -y + 2*y + y - 2*y**3 - 5*y**2. Let v(b) = 5*d(b) - f(b). Suppose v(l) = 0. What is l?
-1, 0, 1
Let u = 29/124 + 1/62. Let g(i) be the first derivative of 1 + 0*i - 1/6*i**6 - 2/5*i**5 - u*i**4 + 0*i**2 + 0*i**3. Determine k, given that g(k) = 0.
-1, 0
Let w(v) = v**3 + 6*v**2 - 6*v + 10. Let p be w(-7). Suppose -3*s = -p*r, 0 = s - 3*s - 2*r + 8. Factor -2*g**2 + 2*g**2 + 10*g**s + 4*g**3 + 2 + 8*g.
2*(g + 1)**2*(2*g + 1)
Let z be 22/(-110) + ((-6)/(-5) - 1). Factor z - 2/3*w**2 - 2/3*w.
-2*w*(w + 1)/3
Factor 5*r**3 - 49 - 63*r + 0*r**3 - 2*r**3 - 15*r**2 - 4*r**3.
-(r + 1)*(r + 7)**2
Let n be (-6)/(-135)*15/20. Let f(k) be the third derivative of 1/18*k**4 + 0 + 1/18*k**3 + 1/630*k**7 + 0*k + n*k**5 - 2*k**2 + 1/90*k**6. Factor f(o).
(o + 1)**4/3
Let j be ((-12)/2)/(0 + -2). Suppose -j*h = 3*u + 15, u - 6*h - 20 = -2*h. Suppose u*o + 0 + 2/3*o**2 = 0. Calculate o.
0
Let v be 0/(-1) - 1 - -3. Factor -13*g + 2 + 12*g - g**2 - v.
-g*(g + 1)
Let -4*n**3 + 0 + 9*n + n**3 - 6 = 0. Calculate n.
-2, 1
Let q = -10 - -15. Solve -c + 2*c**3 + 6*c**2 + q - 3 + 0*c**3 + 7*c = 0 for c.
-1
Let b(z) = 12*z**2 - 88*z + 47. Let x(k) = -11*k**2 + 89*k - 46. Let d(q) = 4*b(q) + 3*x(q). Let d(j) = 0. Calculate j.
2/3, 5
Let m = 0 - -2. Let u(g) = g**2 + g. Let i be u(-2). Factor -2*x**i + 1 + m - 4*x - 5.
-2*(x + 1)**2
Let b(x) = x**2 + 1. Let h(i) = 4*i**3 + 9*i**2 + 2*i + 3. Let y(c)