ird derivative of -h**8/336 - h**7/70 + h**6/60 + h**5/10 - h**4/24 - h**3/2 + 18*h**2. Solve f(p) = 0 for p.
-3, -1, 1
Suppose 7*p = 3*p + 4. Let t be (3/(-12))/(p/(-2)). Factor 1/4 + 0*f + t*f**3 - 3/4*f**2.
(f - 1)**2*(2*f + 1)/4
Let f = -2 - -3. Let j be 1/(6 + -2 - f). Factor 0*t + 0 - 1/3*t**3 + 0*t**2 - j*t**4.
-t**3*(t + 1)/3
Let p be 6 + (-4 - -2 - -2). Factor p*j**2 + 16*j**3 - 2*j + 3*j + 2*j**2.
j*(4*j + 1)**2
Let y(l) be the first derivative of 4*l**3/3 + 4*l**2 - 12*l + 2. Factor y(k).
4*(k - 1)*(k + 3)
Let h(u) be the first derivative of 1/4*u**2 + 0*u + 1/24*u**6 - 1/4*u**5 + 9/16*u**4 - 6 - 7/12*u**3. Determine w so that h(w) = 0.
0, 1, 2
Factor 11*r - 6*r**2 - 3*r**3 + 8 + 16 + r.
-3*(r - 2)*(r + 2)**2
Let b be -2 - 1 - (-5 - 1). Let q(a) be the second derivative of 2*a + 1/80*a**5 + 0*a**b + 0*a**2 + 0 + 1/24*a**4. Find y such that q(y) = 0.
-2, 0
Let p(v) be the first derivative of -2*v**2 - 2*v**4 + 0*v - 5 + 2/5*v**5 + 10/3*v**3. Factor p(s).
2*s*(s - 2)*(s - 1)**2
Suppose 5*s + 0 = 5*o - 20, 0 = -3*o + 4*s + 16. Suppose 4*d - 5 - 7 = o. Factor 2 + r - d*r**2 + 2*r**2 - 2.
-r*(r - 1)
Let l(r) be the first derivative of 2*r**6/3 + 4*r**5/5 - r**4 - 4*r**3/3 - 12. Factor l(v).
4*v**2*(v - 1)*(v + 1)**2
Find s, given that -4*s**4 - 4 + 1929*s**3 + 8*s**2 - 1929*s**3 = 0.
-1, 1
Let f(v) be the second derivative of v**5/10 + 5*v**4/24 + v**3/12 + 24*v. Factor f(o).
o*(o + 1)*(4*o + 1)/2
Let l(f) be the first derivative of f**6/8 - 3*f**4/8 + 3*f**2/8 + 4. Factor l(v).
3*v*(v - 1)**2*(v + 1)**2/4
Solve 232*o**2 - 200*o**4 + 348*o**3 - 48*o - 13 - 356*o**5 + 56*o**5 - 19 = 0.
-1, -2/3, -2/5, 2/5, 1
Factor -2/11*h**2 + 8/11*h - 6/11.
-2*(h - 3)*(h - 1)/11
Let w(i) be the second derivative of 1/50*i**5 + 1/30*i**4 + 0*i**2 + 0 + 8*i + 0*i**3. Factor w(u).
2*u**2*(u + 1)/5
Let n be (((-2)/(-1))/(30/45))/2. Factor 3*t - n*t**2 + 0.
-3*t*(t - 2)/2
Let s be ((-2)/(-12))/(28/42). Factor s + v**2 + 5/4*v.
(v + 1)*(4*v + 1)/4
Let k(q) = 9*q + 67. Let a be k(-7). Factor 0*y + 0*y**a + 0 - 1/2*y**2 + 1/4*y**5 - 3/4*y**3.
y**2*(y - 2)*(y + 1)**2/4
Solve 4/3*v**5 - 44/3*v**4 + 0 + 140/3*v**3 - 100/3*v**2 + 0*v = 0.
0, 1, 5
Let y(g) be the first derivative of -2*g**3/3 + g**2 - 15. Find r such that y(r) = 0.
0, 1
Let w(g) = 5*g**4 + g**3 + 2*g**2 - 3. Let s(q) = 11*q**4 + q**3 + 4*q**2 - 7. Let l(a) = 6*s(a) - 14*w(a). Suppose l(i) = 0. What is i?
-1, 0
Let 0*y**2 + 6*y**2 - 3*y**5 - 15*y**3 + 100*y**4 - 88*y**4 + 0*y**2 = 0. Calculate y.
0, 1, 2
Let n = 17 - 12. Suppose -3*p + 31 = -n*x, -5*p + 0*x = 3*x + 5. Factor -2*k**p + 3*k**2 - 3*k + 1 + k.
(k - 1)**2
Suppose -n + 4*n - 5*b - 30 = 0, -15 = 5*b. Suppose 8 = -r + 3*r + 2*m, -n*m + 18 = 4*r. Factor 1/4*u**r + 1/2*u + 0.
u*(u + 2)/4
Let a be -2 + 0 + -1 + 5. Factor -2*k**5 + 4/7*k + 0 + 2/7*k**a - 30/7*k**3 + 38/7*k**4.
-2*k*(k - 1)**3*(7*k + 2)/7
Suppose z + z = 22. Factor -11 + z + 11*q**2 + 16*q**3 + 2*q + 7*q**4.
q*(q + 1)**2*(7*q + 2)
Find d such that -11401 + 16*d - d**3 + 3*d**3 - 14*d**2 + 11433 = 0.
-1, 4
Let p(w) be the first derivative of 1/2*w**2 - 1/12*w**3 - 1/24*w**4 - 3*w + 3. Let o(r) be the first derivative of p(r). Solve o(q) = 0.
-2, 1
Let q = -2/187 + 1132/935. Solve -2/5 + 6/5*n + 2/5*n**3 - q*n**2 = 0 for n.
1
Let c(h) be the first derivative of -12*h**5/35 - 27*h**4/28 - 6*h**3/7 - 3*h**2/14 + 13. Factor c(y).
-3*y*(y + 1)**2*(4*y + 1)/7
Let t be (-45)/(-50) + -1 - 3/(-5). Let 1/4*a**2 + 3/4*a + t = 0. Calculate a.
-2, -1
Let r(m) be the second derivative of 1/84*m**7 + 0*m**3 + 1/24*m**4 - 1/40*m**5 + 0*m**2 - 1/60*m**6 + 8*m + 0. Suppose r(u) = 0. Calculate u.
-1, 0, 1
Let v(r) be the first derivative of -r**5/120 + r**4/48 + 9*r**2/2 + 5. Let q(y) be the second derivative of v(y). Factor q(t).
-t*(t - 1)/2
Suppose 2 = 4*r - 2. Let w(t) be the first derivative of -2/5*t**2 - 2/15*t**3 + r + 0*t. Solve w(f) = 0.
-2, 0
Let s(k) = k**2 - k + 3. Suppose 0 = 2*h + 8, 5*v = -3*h + 7*h + 16. Let z be s(v). Determine l, given that 2*l**2 + 3*l**2 + l**2 - z*l**3 = 0.
0, 2
Let y be (9/18)/((-3)/(-2)). Let o be -6*(2/(-3))/2. Factor 1/3*z**o - 1/3 + 1/3*z - y*z**3.
-(z - 1)**2*(z + 1)/3
Let m = -32 - -46. Let y be (-12)/m*252/(-54). Factor 0*s**3 - 1/3 - 1/3*s**y + 0*s + 2/3*s**2.
-(s - 1)**2*(s + 1)**2/3
Let g(y) = y**2 - y - 1. Let x = -11 + 10. Let v(m) = -6*m**2 + 4*m + 7. Let f(s) = x*v(s) - 5*g(s). Factor f(d).
(d - 1)*(d + 2)
Let j(n) be the third derivative of 0*n + 0*n**5 - 4*n**2 + 0*n**7 + 0*n**3 + 1/1008*n**8 - 1/360*n**6 + 0 + 0*n**4. Determine z so that j(z) = 0.
-1, 0, 1
Let p(k) be the second derivative of k**6/1620 + k**5/135 + k**4/36 - k**3/2 + 5*k. Let s(d) be the second derivative of p(d). Let s(z) = 0. What is z?
-3, -1
Factor -2/3*r + 8/3*r**2 + 0.
2*r*(4*r - 1)/3
Let o(n) = 7*n**2 - 5 + 4 + n**4 - 4 + 3*n. Let z(h) = 0 - 2 + 8 - 8*h**2 - 4*h - 2*h**4. Let p(f) = 4*o(f) + 3*z(f). Factor p(q).
-2*(q - 1)**2*(q + 1)**2
Let x = 119 - 119. Factor x*n**2 - 2/5*n**4 + 4/5*n**3 - 4/5*n + 2/5.
-2*(n - 1)**3*(n + 1)/5
Let w(x) = -3*x**3 - 3*x. Let p(f) = 9*f**3 + 8*f. Let u(z) = 6*p(z) + 17*w(z). Determine y so that u(y) = 0.
-1, 0, 1
Let r(p) be the second derivative of 0*p**2 + 0 - p - 1/3*p**3 + 1/4*p**4 - 1/20*p**5. Determine u so that r(u) = 0.
0, 1, 2
Suppose -5*a + 20 = -60. Let w = 18 - a. Solve k**4 - 3/2*k**3 - 1/4*k**5 + 0 - 1/4*k + k**w = 0 for k.
0, 1
Let n(z) be the second derivative of -1/3*z**3 + 1/2*z**2 - 2*z + 1/10*z**5 - 1/30*z**6 + 0*z**4 + 0. Factor n(h).
-(h - 1)**3*(h + 1)
Let z(c) be the third derivative of 0*c**3 + 0 - 1/36*c**4 - 1/90*c**5 + 0*c - 3*c**2. Suppose z(u) = 0. Calculate u.
-1, 0
Let 2/3*z**4 + 0*z + 2/9*z**5 + 0 + 2/3*z**3 + 2/9*z**2 = 0. What is z?
-1, 0
Solve -k**4 + 1/3*k**5 + 0 + 0*k + k**3 - 1/3*k**2 = 0 for k.
0, 1
Let i(l) be the third derivative of -1/840*l**8 + 2*l**2 - 1/300*l**6 + 0 + 2/525*l**7 + 0*l + 0*l**5 + 0*l**3 + 0*l**4. Factor i(a).
-2*a**3*(a - 1)**2/5
Suppose -3*y + 617 = 2588. Let v be y/(-105) - (-3)/5. Find i, given that 90/7*i**4 - v*i**3 + 0 + 0*i + 8/7*i**2 - 50/7*i**5 = 0.
0, 2/5, 1
Let l be (44/55)/(1/5). Find p, given that 0*p**4 - 10*p**3 - 3*p**l + 5*p**4 + 16*p**2 - 8*p = 0.
0, 1, 2
Let 3/4 - 3/8*d + 3/8*d**3 - 3/4*d**2 = 0. Calculate d.
-1, 1, 2
Let w(y) be the first derivative of y**7/189 - y**6/135 - y**5/90 + y**4/54 + y + 3. Let d(g) be the first derivative of w(g). Factor d(p).
2*p**2*(p - 1)**2*(p + 1)/9
Let v(k) be the first derivative of -k**3/3 + k**2/2 + 2*k + 2. Solve v(c) = 0.
-1, 2
Let t be 0/(((-8)/10)/(6/(-15))). Factor 2/7*s**3 + t*s + 0 + 0*s**2 + 2/7*s**4.
2*s**3*(s + 1)/7
Let j(x) = -3*x**5 + 7*x**4 + 8*x**3 - 3*x**2 - 23*x - 13. Let g(s) = -s**5 + 4*s**4 + 4*s**3 - 2*s**2 - 11*s - 6. Let z(o) = -9*g(o) + 4*j(o). Factor z(u).
-(u - 1)*(u + 1)**3*(3*u + 2)
Let q(a) be the second derivative of a**5/20 - a**3/6 + 31*a - 1. Factor q(p).
p*(p - 1)*(p + 1)
Suppose 0 = 2*y + y - 15. What is s in 22/7*s + 4/7 - 8/7*s**3 - 2*s**y - 32/7*s**4 + 4*s**2 = 0?
-1, -2/7, 1
Let v(p) be the second derivative of 3*p**5/20 - p**4 + 5*p**3/2 - 3*p**2 + 5*p. Let v(u) = 0. Calculate u.
1, 2
Let i(g) be the third derivative of g**8/3360 - g**7/1260 - g**6/180 - g**4/24 + g**2. Let o(h) be the second derivative of i(h). Solve o(z) = 0 for z.
-1, 0, 2
Let g = 21397687812411/4265 - 5017042925. Let z = 2/853 - g. Factor 882/5*j**3 - 16/5 + z*j**2 - 8*j.
2*(7*j + 2)**2*(9*j - 2)/5
Suppose -4*g - 43 + 72 = 3*v, 5*g = -3*v + 34. Find f such that -1 - v*f - 9/4*f**2 = 0.
-2/3
Let o(l) = -l - 7. Let w be o(-12). Suppose -5 + 1 = 3*a - 2*x, -w*a = 2*x - 4. Factor a*f + 2*f**4 + 4/5*f**2 - 14/5*f**3 + 0.
2*f**2*(f - 1)*(5*f - 2)/5
Let t(k) = k**4 + k**3 + k**2 + 2*k. Let r(i) = 2*i**4 + 12*i**3 + 15*i**2 + 2*i. Let f(q) = 2*r(q) + 2*t(q). Determine x so that f(x) = 0.
-2, -1/3, 0
Suppose 0*o + 10 = 5*o. Let 6*u**o + 3*u**5 - 73 - 9*u - 6*u**5 + 12*u**3 + 67 = 0. Calculate u.
-1, 1, 2
Let z(i) = -5*i**3 - 20*i**2 - 16*i + 8. Let a(s) = 3*s**2 - 2*s**2 + 2 - 3 + s. Let m(q) = 18*a(q) + 2*z(q). Determine t, given that m(t) = 0.
-1, -1/5
Let x(a) = -a**2 - a - 1. Let j(m) = -2*m. Suppose -2*f - 7 + 1 = 0. Let i(y) = f*j(y) + 2*x(y). What is z in i(z) = 0?
1
Let f(l) be the first derivative of -8*l**