e third derivative of q(r). Factor h(u).
(u - 1)*(u + 1)/3
Let o = 1 - -1. Suppose -5*b + 44 = 39. Let -2*f + 2*f**o - b + 1 + 6*f**2 = 0. Calculate f.
0, 1/4
Factor 8/3 - 7/6*i**3 + 5/3*i - 13/6*i**2.
-(i + 1)*(i + 2)*(7*i - 8)/6
Factor -5*b**3 - 11*b**3 + 34*b**3 + 5 - 5 - 3*b**4.
-3*b**3*(b - 6)
Let r(l) be the third derivative of 5/36*l**4 + 0*l**3 + 0 - 28*l**2 - 1/15*l**5 + 1/180*l**6 + 0*l. Solve r(z) = 0.
0, 1, 5
Let y(o) = 2*o**3. Let g(u) = -2*u**5 + 18*u**4 - 26*u**3 + 38*u**2 - 12*u. Let i(w) = -g(w) + 8*y(w). Factor i(b).
2*b*(b - 6)*(b - 1)**3
Solve 55/3*i + 5/3*i**2 + 30 = 0 for i.
-9, -2
Let v(p) be the second derivative of -p**9/22680 + p**8/10080 + p**7/1890 + 3*p**4/4 - 10*p. Let g(i) be the third derivative of v(i). Factor g(f).
-2*f**2*(f - 2)*(f + 1)/3
Let s be (33 - (3 - -1)) + 0 - 3. Let l be (-2)/6*(-156)/s. Factor -6/7*q**3 + 2/7*q**4 + 0 + 6/7*q**l - 2/7*q.
2*q*(q - 1)**3/7
Suppose 2*l + l - v - 7 = 0, -4*v = -5*l. Let u be 0 + l + 0/(-3). Let 6*s + s**5 - 5*s - 2*s**3 + s**u - s**4 = 0. What is s?
-1, 0, 1
Let v(u) be the third derivative of 2*u**7/105 - u**5/5 - u**4/3 + 68*u**2. Factor v(k).
4*k*(k - 2)*(k + 1)**2
Suppose -9/2*p - 27 + 6*p**2 + 3/2*p**3 = 0. Calculate p.
-3, 2
Let t(b) be the first derivative of 21/2*b**2 - 10 + 6*b + 6*b**3 - 24/5*b**5 - 3/2*b**6 - 3*b**4. Let t(p) = 0. Calculate p.
-1, -2/3, 1
Let m(s) be the third derivative of 0 + 1/525*s**7 - 7*s**2 - 1/300*s**6 + 0*s + 0*s**5 + 0*s**3 + 0*s**4. Find q such that m(q) = 0.
0, 1
Let b(v) = -4*v**2 + 4*v - 4. Let o be b(2). Let s be 10/4*(o/(-15) - 0). Suppose 6/7*a - 4/7*a**4 - 4/7 + 6/7*a**5 - 12/7*a**3 + 8/7*a**s = 0. Calculate a.
-1, 2/3, 1
Let i be 5/10*(0 - 0). Let c = 2 + i. Determine o, given that -4*o + 7*o - 2*o**3 + 2*o**c - 3*o = 0.
0, 1
Let l(z) be the third derivative of -1/390*z**5 - 1/39*z**3 + 1/78*z**4 + 0 + 0*z - 2*z**2. Factor l(v).
-2*(v - 1)**2/13
Let z(g) = -g**2 + 15*g. Let x be z(15). Find b, given that x - 6/5*b**3 - 8/5*b**2 - 2/5*b = 0.
-1, -1/3, 0
Let o = 1 - -4. Suppose 4*t - 4*x - x = 35, 5*t - o*x - 40 = 0. Suppose -d**4 + 7*d**5 + 6*d**t - 18*d**5 + 3*d**4 = 0. What is d?
0, 2/5
Let g be (6536/192 + -34)/(2/16). Suppose -4/3 + g*t**2 + 4/3*t - 1/3*t**3 = 0. Calculate t.
-2, 1, 2
Factor 2*d**3 + 0*d**3 + 7*d - 20*d**2 + 20*d - 12*d + 3*d**3.
5*d*(d - 3)*(d - 1)
Let b(x) be the second derivative of 0 + 0*x**2 + 1/6*x**4 + 2/3*x**3 - 13*x. Factor b(u).
2*u*(u + 2)
Let z(d) = -2*d**4 - 17*d**3 + 118*d**2 - 197*d + 5. Let h(q) = q**3 + 2*q**2 + q - 1. Let o(i) = 10*h(i) + 2*z(i). Suppose o(x) = 0. What is x?
-12, 0, 2, 4
Determine a so that 0 + 1/3*a**5 - 11/3*a**4 + 19/3*a**3 - 3*a**2 + 0*a = 0.
0, 1, 9
Let s(r) = 4*r**4 + 3*r**3 - 7*r**2 - r - 1. Let x(h) = -2*h**4 + h**3 + h**2 + h + 1. Let z(m) = s(m) + x(m). Factor z(c).
2*c**2*(c - 1)*(c + 3)
Let d(o) be the second derivative of -o**6/120 - o**5/30 - 21*o**2 + 2*o - 7. Let y(v) be the first derivative of d(v). Let y(g) = 0. Calculate g.
-2, 0
Let x be (-72)/(-48)*(-2 + (-42)/(-9)). Let r(o) be the first derivative of -2/15*o**5 + 0*o**2 + 2/27*o**3 - 7 - 1/9*o**x + 0*o. Find g, given that r(g) = 0.
-1, 0, 1/3
Let p(z) = 21*z**2 + 42*z - 63. Let d(r) = 17*r**2 - 7 - 14*r**2 - 4 + 6*r + 2. Let v(n) = 15*d(n) - 2*p(n). Suppose v(y) = 0. What is y?
-3, 1
Let b(d) be the third derivative of -1/75*d**5 - 1/150*d**6 + 0*d + 0 + 6*d**2 + 2/15*d**3 + 1/30*d**4. Factor b(k).
-4*(k - 1)*(k + 1)**2/5
Suppose j + 8 = -3*d, 4 = -5*j - 4*d + 8. Let w(h) be the third derivative of 1/240*h**5 + 0 + 6*h**2 + 0*h**3 + 0*h - 1/48*h**j. Solve w(u) = 0 for u.
0, 2
Suppose -4*i + 35 = -c + 30, 4 = 5*i - 2*c. Suppose -2/7 - 20/7*v - 18/7*v**i = 0. Calculate v.
-1, -1/9
Let f(n) = -2*n**2 + 1. Let x(m) = m**4 - 2*m**3 - 23*m**2 + 2*m + 15. Let j(l) = 35*f(l) - 5*x(l). Determine g, given that j(g) = 0.
-2, -1, 1, 4
Let n = -15 + 21. Let b be (-2)/3*(n - 9). Let 22 + 8*r + 10 + 8*r - 2*r**b + 4*r**2 = 0. Calculate r.
-4
Solve -3/2*q**5 + 0*q + 3/2*q**4 + 0*q**2 + 3*q**3 + 0 = 0 for q.
-1, 0, 2
Let p(a) = -3*a**3 + 26*a**2 - 46*a + 2. Suppose 5 = -2*b - 1. Let m(h) = -3*h**3 + 27*h**2 - 45*h + 3. Let g(s) = b*p(s) + 2*m(s). Factor g(y).
3*y*(y - 4)**2
Factor -21*d**2 + 291 - 7*d**3 - 12*d + 25*d**3 - 276.
3*(d - 1)**2*(6*d + 5)
Factor 88*s**3 - 4*s**5 + 84*s**4 - 130437*s**2 + 130437*s**2.
-4*s**3*(s - 22)*(s + 1)
Let m(t) be the first derivative of -t**6/225 + t**5/150 - 5*t + 25. Let n(j) be the first derivative of m(j). Find a such that n(a) = 0.
0, 1
Let b = 41817 - 41817. Let m = -1613/22 + 147/2. Factor b + m*t**2 + 0*t.
2*t**2/11
Let m(r) = 2*r**3 - 210*r**2 - 2502*r + 2710. Let k(z) = z**3 - z**2 - z + 1. Let j(b) = 6*k(b) - m(b). Let j(x) = 0. Calculate x.
-26, 1
Let o(s) be the first derivative of -s**6/18 + 23*s**5/15 - 15*s**4/2 - 1100*s**3/9 + 3500*s**2/3 - 606. Factor o(t).
-t*(t - 10)**3*(t + 7)/3
Let h be (58 + -59)/(0 - 6). Let o(r) be the first derivative of -1/2*r - 6 + 1/16*r**4 + h*r**3 - 1/8*r**2. Factor o(q).
(q - 1)*(q + 1)*(q + 2)/4
Factor 2*p**5 - 6*p**3 - 14*p**4 - 222*p**2 + 36*p**3 + 8*p + 196*p**2.
2*p*(p - 4)*(p - 1)**3
Solve 5923650*a**2 + 3759*a**4 + 514083/2*a**3 + 3322344*a + 471648 + 147/8*a**5 = 0.
-68, -2/7
Factor -10/7*p**2 + 0 + 2/7*p**4 + 8/7*p**3 + 0*p.
2*p**2*(p - 1)*(p + 5)/7
Suppose -12*q - 28 = -112. Let j(u) be the second derivative of 0 + 2/21*u**q + 0*u**4 + 4/15*u**6 + 10*u + 0*u**2 + 0*u**5 + 0*u**3. Factor j(a).
4*a**4*(a + 2)
Let p be -5 - (3 - 1/((-12)/(-104))). Factor -14/3*u**4 + 0*u + 0 - 6*u**2 - p*u**5 - 10*u**3.
-2*u**2*(u + 1)*(u + 3)**2/3
Factor -2816/23*b - 2642/23*b**2 - 2/23*b**5 + 82/23*b**4 - 968/23 - 710/23*b**3.
-2*(b - 22)**2*(b + 1)**3/23
Let b(x) be the third derivative of -10/3*x**3 + 0*x - 5/12*x**5 - 4*x**2 + 0 + 1/24*x**6 + 5/3*x**4. Factor b(s).
5*(s - 2)**2*(s - 1)
Factor -48/17*y**2 - 2/17*y**4 - 20/17*y**3 + 0 + 0*y.
-2*y**2*(y + 4)*(y + 6)/17
Suppose 0 = -28*t + 31*t - 6. Suppose -j**t + j**3 + 6*j**5 - 13*j**5 + j**4 + 6*j**5 = 0. What is j?
-1, 0, 1
Let x(z) be the first derivative of -z**6/1140 + z**5/570 + z**4/228 - z**3/57 - 7*z**2/2 - 4. Let j(o) be the second derivative of x(o). Factor j(q).
-2*(q - 1)**2*(q + 1)/19
Let x(s) = 5*s**4 - 179*s**3 - 370*s**2 + 4*s - 4. Let c(w) = -10*w**4 + 359*w**3 + 740*w**2 - 9*w + 9. Let d(z) = 4*c(z) + 9*x(z). Solve d(g) = 0 for g.
-2, 0, 37
Let i(q) be the first derivative of 12*q**3 + 22*q**2 + 8*q - 58. Let i(u) = 0. What is u?
-1, -2/9
Suppose 0 = 12*s + 5*p - 114, -322*s + 318*s = -2*p - 60. Factor -s - 21/2*c**2 - 27*c.
-3*(c + 2)*(7*c + 4)/2
Let y(z) be the third derivative of -1/112*z**8 + 27*z**2 + 0*z + 0*z**6 + 0*z**3 - 1/10*z**5 + 0 + 1/8*z**4 + 1/35*z**7. Suppose y(o) = 0. What is o?
-1, 0, 1
Let o(l) = -19*l**2 - 37*l - 5. Let m(s) = -16*s**2 - 36*s - 4. Let x(b) = -5*m(b) + 4*o(b). Factor x(y).
4*y*(y + 8)
Factor 4*m**2 - 2/5*m**3 - 48/5 - 26/5*m.
-2*(m - 8)*(m - 3)*(m + 1)/5
Let h(f) be the third derivative of 1/5*f**5 + 0*f + 0 - 19*f**2 + 1/2*f**4 + 1/40*f**6 + 0*f**3. Solve h(r) = 0 for r.
-2, 0
Let l = -22394/115 - -4488/23. Solve -4/5*c**4 + 2/5*c**3 + l*c**5 + 0*c**2 + 0*c + 0 = 0 for c.
0, 1
Let x(s) be the first derivative of -5*s**2 + 0*s - 7/144*s**4 + 9 - 1/9*s**3 - 1/180*s**5 + 1/720*s**6. Let c(b) be the second derivative of x(b). Factor c(j).
(j - 4)*(j + 1)**2/6
Let z(i) be the first derivative of 14*i**3/3 + 6*i**2 - 18*i + 10. Let j(r) = -5*r**2 - 4*r + 6. Let x(y) = 8*j(y) + 3*z(y). Factor x(a).
2*(a - 1)*(a + 3)
Let c(u) be the third derivative of u**8/2240 + u**7/420 - u**6/60 - u**5/5 + 7*u**4/8 - 6*u**2. Let q(f) be the second derivative of c(f). Factor q(l).
3*(l - 2)*(l + 2)**2
Suppose -91*u - 18 = -82*u. Let y(r) = r**2 - 2*r - 6. Let t be y(u). Determine g, given that -3/8*g + 3/8*g**4 - 3/8*g**t + 3/8*g**3 + 0 = 0.
-1, 0, 1
Let r(n) = 27*n**2 - 38*n - 8. Let v(s) = -s**2 - 4*s. Let a(o) = -r(o) - 2*v(o). Factor a(b).
-(b - 2)*(25*b + 4)
Let f(c) = -125*c - 1619. Let i be f(-13). Suppose 3/2*t**4 - 9/2*t**2 - i*t - 2 + t**3 = 0. What is t?
-1, -2/3, 2
Let y(m) be the first derivative of m**5/50 - 3*m**4/20 - 3*m**3/10 + 7*m**2/10 - 40. Factor y(i).
i*(i - 7)*(i - 1)*(i + 2)/10
Determine d so that -2/5*d**4 + 0*d + 0*d**3