 0. Calculate y.
0, 2
Let p = 185 - 185. Let m(f) be the first derivative of 3/20*f**5 + 2 - 1/4*f**3 + 0*f**2 - 1/8*f**6 + p*f + 3/16*f**4. Solve m(c) = 0 for c.
-1, 0, 1
Let m(k) be the second derivative of k**8/40320 - k**7/5040 + k**6/2160 + k**4/12 + 4*k. Let v(s) be the third derivative of m(s). Factor v(x).
x*(x - 2)*(x - 1)/6
Let p(s) be the second derivative of s**7/21 + 2*s**6/15 - s**5/5 - 4*s**4/3 - 7*s**3/3 - 2*s**2 - 20*s. Factor p(k).
2*(k - 2)*(k + 1)**4
Let j = -19 - -21. Factor 4*s**4 + 2*s**5 + 2*s - 3*s + j*s - 3*s - 4*s**2.
2*s*(s - 1)*(s + 1)**3
Let k(z) be the first derivative of z**5/150 - z**4/30 + z**3/15 - z**2/2 + 3. Let s(x) be the second derivative of k(x). Factor s(p).
2*(p - 1)**2/5
Let h(p) be the third derivative of 2*p**6/15 - p**5/30 - 2*p**4/3 - 8*p**3/3 + p**2. Let g(f) = -f**3 + f + 1. Let t(l) = -36*g(l) - 2*h(l). Factor t(x).
4*(x - 1)*(x + 1)**2
Let c(k) = -3*k - 1. Let b be c(-1). Factor -b*j**3 + 2*j**3 + j**2 - j**3.
-j**2*(j - 1)
Let l(f) be the third derivative of -f**10/50400 - f**9/12600 - f**8/11200 + f**4/8 + 5*f**2. Let j(t) be the second derivative of l(t). Factor j(x).
-3*x**3*(x + 1)**2/5
Determine w so that 2/7*w**2 - 6/7*w - 8/7 = 0.
-1, 4
Let k be 1/2 + ((-55)/6 - -10). Let x = -109 - -331/3. Factor 0 + x*n**3 + k*n**2 + 0*n + 1/3*n**4.
n**2*(n + 2)**2/3
Find u such that -u**2 + 0*u + 2*u**2 - 2*u + 4*u**2 = 0.
0, 2/5
Let y be (931/(-140))/(-7) + 1/(-5). Find o such that y*o + 0 + 3/4*o**2 = 0.
-1, 0
Factor 3*c - 3*c - 7*c**5 + 4*c**4 + 5*c**5.
-2*c**4*(c - 2)
Let n = -13 + 10. Let y(q) = -2*q**3 - 2*q**2 + 10*q + 14. Let x(f) = -2*f**3 - f**2 + 11*f + 13. Let w(i) = n*y(i) + 2*x(i). Factor w(s).
2*(s - 2)*(s + 2)**2
Let t(u) be the third derivative of u**8/420 - u**7/210 + u**6/360 - u**4/8 - 2*u**2. Let g(l) be the second derivative of t(l). Solve g(v) = 0.
0, 1/4, 1/2
Let b(j) be the first derivative of -j**4/18 + j**3/9 + 2*j**2/3 + j + 1. Let p(s) be the first derivative of b(s). Factor p(m).
-2*(m - 2)*(m + 1)/3
Let l(k) = 17*k**3 + 4*k**2 - 17*k - 4. Let t(n) = -69*n**3 - 15*n**2 + 69*n + 15. Let x(p) = -9*l(p) - 2*t(p). Factor x(g).
-3*(g - 1)*(g + 1)*(5*g + 2)
Let b(k) = -2*k**3 + 22*k**2 + 20*k + 2. Let m(s) = -5*s**3 + 3 - 3*s + 15*s + 45*s**2 + 28*s. Let n(c) = 13*b(c) - 6*m(c). Factor n(u).
4*(u + 1)**2*(u + 2)
Let x be ((-65)/60 - -1) + (-4)/(-12). Factor 1/4*m**3 - x*m + 0 + 0*m**2.
m*(m - 1)*(m + 1)/4
Let q(s) be the third derivative of 1/24*s**4 - 1/180*s**5 + 0 - 1/120*s**6 + 0*s + 0*s**3 + 10*s**2 + 1/630*s**7. Let q(g) = 0. Calculate g.
-1, 0, 1, 3
Let o(a) be the second derivative of -a**7/504 - a**6/360 - a**5/600 + a**4/12 + 3*a. Let b(m) be the third derivative of o(m). Factor b(j).
-(5*j + 1)**2/5
Suppose -2*s = 3*s - 7*s. Let m(b) be the second derivative of -1/36*b**4 - b + s + 0*b**3 + 0*b**2. Factor m(w).
-w**2/3
Suppose -4 + 4*j**2 + 36*j + 6 - 2 = 0. What is j?
-9, 0
Suppose -5*c - 6 + 21 = 0. Find f such that 0 - 3/2*f**2 + 0*f - 3/2*f**c = 0.
-1, 0
Let i(q) be the third derivative of -q**8/378 - 4*q**7/945 + 7*q**6/540 - q**5/135 - 5*q**2. Factor i(n).
-2*n**2*(n + 2)*(2*n - 1)**2/9
Let m be (2*(-12)/(-40))/((-162)/(-135)). Find v such that -7/6*v**4 + m*v**3 + 7/6*v**2 + 1/3*v - 5/6*v**5 + 0 = 0.
-1, -2/5, 0, 1
Find t such that 3/5*t**3 - 3/5*t - 3/5*t**2 + 3/5 = 0.
-1, 1
Let q(g) be the third derivative of g**6/200 - 3*g**4/40 + g**3/5 + 18*g**2 + 2*g. Factor q(n).
3*(n - 1)**2*(n + 2)/5
Let x(p) be the first derivative of 0*p**2 - 2/15*p**6 + 0*p + 2 + 2/5*p**5 - 2/5*p**4 + 2/15*p**3. Determine f, given that x(f) = 0.
0, 1/2, 1
Let a(d) be the first derivative of 1/54*d**4 - 2 + 1/27*d**3 + 0*d**2 + 3*d. Let g(r) be the first derivative of a(r). Factor g(z).
2*z*(z + 1)/9
Let d(w) be the third derivative of -w**7/735 - w**6/60 - w**5/14 - 13*w**4/84 - 4*w**3/21 + 4*w**2. Let d(i) = 0. Calculate i.
-4, -1
Let m(g) be the second derivative of -g**4/4 + 2*g**3 - 9*g**2/2 + 10*g. Find w such that m(w) = 0.
1, 3
Suppose 2*w = -2*p, p + 0*w + 10 = -3*w. Suppose 0*d - 3*d + 3*n + 3 = 0, 0 = -5*n - p. Factor r**3 - 1/2*r**2 - 1/2*r**4 + d*r + 0.
-r**2*(r - 1)**2/2
Factor -6/7*s + 0 - 8/7*s**2.
-2*s*(4*s + 3)/7
Let n(t) be the second derivative of t + 1/12*t**4 + 1/6*t**3 + 1/60*t**5 + 1/6*t**2 + 0. Factor n(p).
(p + 1)**3/3
Let d(p) = -4*p - 1. Let o be d(-1). Let f be 4/3 + o/18. Determine m, given that -f*m + 1/2*m**5 - m**2 + 3/2*m**4 + m**3 - 1/2 = 0.
-1, 1
Let y(i) be the second derivative of -2*i**7/105 + 8*i**6/75 + i**5/25 - 4*i**4/15 + 3*i + 8. What is s in y(s) = 0?
-1, 0, 1, 4
Let y(t) = 13*t**3 - 44*t**2 + 29*t - 7. Let m(v) = -13*v**3 + 43*v**2 - 30*v + 6. Let g(n) = -3*m(n) - 2*y(n). Factor g(l).
(l - 2)*(l - 1)*(13*l - 2)
Suppose w = -3, -4*j = 3*w + 3 - 2. Let g = 1 + j. Factor -2 + g - 3*c**2 - 2*c + 4*c**2.
(c - 1)**2
Let y be (-2)/(-1)*(1 + 0). Factor 0*w - w - 2*w - 4*w**2 + 4*w**4 + y*w**5 + w.
2*w*(w - 1)*(w + 1)**3
Let n(b) be the first derivative of -b**6/16 - 3*b**5/40 + 3*b**4/32 + b**3/8 - 15. Find z, given that n(z) = 0.
-1, 0, 1
Factor 4*s + 3*s**2 - 6*s**2 + 0*s + s**2.
-2*s*(s - 2)
Let n(q) = -10*q**4 + 3*q**2 + 2*q - 9. Let f(b) = b**4 + 1. Let y(a) = -18*f(a) - 2*n(a). Let y(u) = 0. Calculate u.
-1, 0, 2
Let u(y) be the first derivative of -y**6/30 + 8*y**5/25 - 5*y**4/4 + 38*y**3/15 - 14*y**2/5 + 8*y/5 + 36. Factor u(k).
-(k - 2)**3*(k - 1)**2/5
Let a = 64 - 62. Factor 0*l + 2/3*l**3 - 2/3*l**a + 0.
2*l**2*(l - 1)/3
Suppose 6*c = -c + 42. Let o be ((-4)/c)/((-4)/3). Determine q, given that o*q - 1/2*q**3 - 1/2 + 1/2*q**2 = 0.
-1, 1
Let g(f) = f**2 + 11 + 2*f - 11. Let l be g(-2). What is v in -9*v + l + 17*v**3 + v + 4 - 3*v**2 - 13*v**4 + v**5 + 2*v**5 = 0?
-2/3, 1, 2
Let g be (-39)/36 - 1/(-3). Let x = g - -1. Factor x*q + 1/4*q**2 - 5/4*q**4 + 0 - 3/4*q**3 - 1/2*q**5.
-q*(q + 1)**3*(2*q - 1)/4
Let z(v) be the third derivative of -v**7/350 + v**6/100 + 3*v**5/100 - v**4/10 - 2*v**3/5 - 6*v**2. Find m such that z(m) = 0.
-1, 2
Suppose 6*r**2 + r**2 - 5*r + 5*r**2 - 5*r**4 - 10 + 3*r**2 + 5*r**3 = 0. What is r?
-1, 1, 2
Let v(f) be the first derivative of -f**4/12 - f**3/3 - f**2/3 + 31. Determine n, given that v(n) = 0.
-2, -1, 0
Let u(d) be the second derivative of -5/18*d**4 + 0*d**2 + 1/45*d**6 - 1/10*d**5 - 4*d + 1/63*d**7 - 2/9*d**3 + 0. Find a, given that u(a) = 0.
-1, 0, 2
Suppose -2*r + 172 = 60. Let h be (-46)/(-14) - 16/r. Solve 3/2*n**h + 0*n**2 + 0*n + 0 + 3/4*n**4 = 0.
-2, 0
Let o be (1/2*-3)/(21/(-28)). Let f(m) be the first derivative of 1/21*m**6 + 1/14*m**4 + 4/35*m**5 + 0*m**2 + 0*m**3 + 0*m + o. Let f(n) = 0. Calculate n.
-1, 0
Let i = 16 - 16. Let h(n) be the first derivative of 1/3*n**6 + 0*n**2 - 1/2*n**4 - 2 + i*n - 2/5*n**5 + 2/3*n**3. Factor h(d).
2*d**2*(d - 1)**2*(d + 1)
Let d(j) be the second derivative of 1/30*j**6 + 0*j**2 + 0*j**3 + 0 - 2*j + 1/42*j**7 - 1/20*j**5 - 1/12*j**4. Suppose d(n) = 0. Calculate n.
-1, 0, 1
Find s, given that 2/7*s**3 + 4/7*s**2 + 0*s - 4/7*s**4 - 2/7*s**5 + 0 = 0.
-2, -1, 0, 1
Let m be 45/(-10) - (-3)/(-6). Let q be 1/(-3*m/6). Factor -2/5*v + 2/5*v**3 - 2/5 + q*v**2.
2*(v - 1)*(v + 1)**2/5
Let f(x) be the first derivative of -3*x**4/20 + 6*x**3/5 - 3*x**2/2 + 36. Find y such that f(y) = 0.
0, 1, 5
Let y = -187 + 190. Let z(g) be the first derivative of 4/15*g**y - 1/5*g**2 - 2/5*g - 2. Let z(t) = 0. Calculate t.
-1/2, 1
Let m(z) be the first derivative of 1/10*z**5 - 4 + 1/4*z**6 - 1/6*z**3 + 0*z + 0*z**2 - 3/8*z**4. Find p, given that m(p) = 0.
-1, -1/3, 0, 1
Let w(z) = z**3 - 6*z**2 - 17*z + 10. Let r be w(8). Suppose -14/9*d + 4/9 - 8/9*d**r = 0. Calculate d.
-2, 1/4
Let i be (4/(-16))/((-2)/8). Let f be ((-6)/9 + i)*12. Factor -2*j**f - 3 - 2 + 2*j**2 + 5.
-2*j**2*(j - 1)*(j + 1)
Let k(d) be the third derivative of -7*d**6/180 + 8*d**5/45 - d**4/9 + 8*d**2. Find t, given that k(t) = 0.
0, 2/7, 2
Let o(r) be the first derivative of 4*r**5/25 - 8*r**3/15 + 4*r/5 - 8. Factor o(c).
4*(c - 1)**2*(c + 1)**2/5
Suppose 0 = 2*d + 5 - 53. Let l be ((-1)/(-10))/(3/d). Factor -2/5*k**4 + 0 - l*k**3 - 2/5*k**2 + 0*k.
-2*k**2*(k + 1)**2/5
Let z(r) be the first derivative of r**7/105 - r**5/25 + r**3/15 - r + 1. Let u(a) be the first derivative of z(a). Factor u(c).
2*c*(c