he second derivative of f(l). Suppose s(r) = 0. What is r?
-7, 0
Let k(q) be the first derivative of q**6/18 + 17*q**5/15 + 29*q**4/6 + 82*q**3/9 + 53*q**2/6 + 13*q/3 - 181. Let k(o) = 0. What is o?
-13, -1
Let t = 181/3 - 60. Let m(q) be the first derivative of q + 5 + t*q**3 + q**2. Find s, given that m(s) = 0.
-1
Let s(j) be the first derivative of 98*j**4/11 + 182*j**3/11 + 120*j**2/11 + 32*j/11 + 26. Determine m so that s(m) = 0.
-4/7, -1/4
Let h(x) be the first derivative of x**3/18 + x**2/12 - x/3 + 53. Suppose h(w) = 0. What is w?
-2, 1
Let y be 21/6 + (-3)/6. Factor -3*w**2 - 2 + 2*w**y + 2 + 492*w + 3*w**4 - 494*w.
w*(w - 1)*(w + 1)*(3*w + 2)
Let l(o) be the third derivative of 41*o**2 + 0 + 0*o + 0*o**3 - 1/15*o**5 + 1/6*o**4. What is z in l(z) = 0?
0, 1
Let w(b) = 6*b - 2. Let j be w(1). Let k(v) be the second derivative of -1/4*v**j + 0*v**3 + 0 + 2*v**2 - 6*v + 1/20*v**5. Factor k(g).
(g - 2)**2*(g + 1)
Let u(o) be the third derivative of 2*o**6/315 + o**5/420 - 5*o**3/3 - 8*o**2. Let k(w) be the first derivative of u(w). Factor k(v).
2*v*(8*v + 1)/7
Let q(g) be the second derivative of -g**6/1080 + 7*g**5/180 - 49*g**4/72 - g**3/3 - 25*g. Let k(m) be the second derivative of q(m). Factor k(w).
-(w - 7)**2/3
Let a be (-11)/(-3) - (4 - 4 - -1). Let u(h) be the second derivative of 0 + h**2 + 8/3*h**4 + h + a*h**3. Solve u(x) = 0 for x.
-1/4
Let s = 12 + 0. Suppose -2*y + s = 4*y. Factor -3*z + 7*z - y*z**3 + z**3.
-z*(z - 2)*(z + 2)
Let f(h) be the second derivative of -h**4/4 - 5*h**3/18 + 2*h**2/3 + 240*h. Factor f(r).
-(r + 1)*(9*r - 4)/3
Factor 0 + 96/5*g + 4/5*g**2.
4*g*(g + 24)/5
Factor d**4 - d**2 - d + 1/4*d**5 + 3/4*d**3 + 0.
d*(d - 1)*(d + 1)*(d + 2)**2/4
Factor 3/2*h**2 + 90*h + 1350.
3*(h + 30)**2/2
Let v(g) = -g**4 + g**2 - 1. Let q(x) = -x**4 - 7 + 22*x**3 - 31*x**3 + 13*x**2 + 3 - 3*x. Let y(r) = -q(r) + 4*v(r). Factor y(d).
-3*d*(d - 1)**3
Let l(a) be the third derivative of 1/150*a**5 + 0*a + 0 + 1/60*a**4 - 2/15*a**3 + 5*a**2. Find k such that l(k) = 0.
-2, 1
Let t(i) = -i**2 + 7*i + 9. Let v be 2/(-1) - -13 - 3. Let l be t(v). Factor 0 + 3 + 4*x**2 + 6*x + 2*x + l.
4*(x + 1)**2
Let d(o) be the first derivative of -3*o**5 + 35*o**4/4 + 10*o**3 - 30*o**2 - 40*o - 32. Find z such that d(z) = 0.
-1, -2/3, 2
Let l(k) = -141*k**3 + 73*k**2 + 57*k + 11. Let u(a) = -424*a**3 + 220*a**2 + 172*a + 32. Let q(n) = -8*l(n) + 3*u(n). Solve q(p) = 0 for p.
-1/4, -2/9, 1
Let u(n) be the second derivative of n**5/30 - n**4/3 + 15*n**2 + 4*n. Let a(k) be the first derivative of u(k). Find l, given that a(l) = 0.
0, 4
Suppose j + 3 = 0, -3*r + 2*r + j + 123 = 0. Factor 12*d**2 - r*d + 12 + 142*d + 4*d**3 - 2*d**3.
2*(d + 1)*(d + 2)*(d + 3)
Suppose -2*z - 4 = -2*o, -3*o + 8 = -0*o - 2*z. Suppose 0 = -o*q - 4*n, 0 = 2*q + 3*n + 2*n + 12. Factor 7*x**q - 1 + 1 - 2*x**3 - 9*x**4.
-2*x**3*(x + 1)
Let u be (-1 - -1)*(30/4 - 8). Factor u - 8/15*n**2 - 2/15*n**3 + 0*n.
-2*n**2*(n + 4)/15
Suppose 4*w + 4*l - l = 15, 5 = -2*w + l. Let h(g) be the first derivative of 0*g - 5 + w*g**2 - 2/27*g**3. Suppose h(n) = 0. What is n?
0
Let c = -1253 - -1262. Let t(r) be the third derivative of 0*r + c*r**2 + 1/105*r**7 + 0*r**5 + 0 + 0*r**4 + 0*r**3 - 1/224*r**8 - 1/240*r**6. Factor t(f).
-f**3*(f - 1)*(3*f - 1)/2
Let l(j) be the first derivative of -j**3/6 - j**2/4 - 230. Factor l(o).
-o*(o + 1)/2
Let x(c) be the first derivative of 3/4*c**4 + 2 - 11/2*c**2 - 1/5*c**5 + c**3 + 6*c. Let x(w) = 0. What is w?
-2, 1, 3
Let j(c) be the second derivative of 2/75*c**6 - 1/30*c**4 + 18*c - 1/5*c**2 + 0 + 1/25*c**5 - 1/6*c**3 + 1/210*c**7. Factor j(v).
(v - 1)*(v + 1)**3*(v + 2)/5
Factor 34/5*a**4 + 6*a**2 - 62/5*a**3 - 2/5*a**5 + 0*a + 0.
-2*a**2*(a - 15)*(a - 1)**2/5
Let u(o) be the third derivative of 2*o**7/315 + 37*o**6/180 + 7*o**5/12 + 103*o**4/144 + 17*o**3/36 - 322*o**2. Factor u(m).
(m + 17)*(2*m + 1)**3/6
Factor -18 + 3*n**2 + 15*n - 55*n - 206 + n**2.
4*(n - 14)*(n + 4)
Suppose s - 3*s + 4 = 0. Factor 2*t**2 - 3 + s*t**5 + 6*t**4 + 6*t**3 + 3.
2*t**2*(t + 1)**3
Let t(w) = -w + 1. Let y(k) = -k**4 + 2*k**3 - 5*k + 4. Let s = -6 - 6. Let p be (4/(-12))/(4/s). Let o(l) = p*y(l) - 3*t(l). Factor o(h).
-(h - 1)**3*(h + 1)
Let o = -3 + 6. Factor 6*c**3 + 3*c**4 + 2*c**3 - 14*c**3 + 0*c**o.
3*c**3*(c - 2)
Let p be ((-66)/63)/((-30)/10125). Let q = p - 353. Let 2/7*k**5 - q*k**4 - 2/7*k + 0*k**3 + 0 + 4/7*k**2 = 0. Calculate k.
-1, 0, 1
Let y(k) = k**4 + k**2 + k + 1. Let c(r) = 16*r**4 + 16*r**3 + 8*r**2 + 2*r + 6. Let w be 6/(-1)*(-10)/(-30). Let u(n) = w*c(n) + 12*y(n). Factor u(o).
-4*o*(o + 1)**2*(5*o - 2)
Let r = -8349 + 41747/5. Factor 6/5*o**2 + 0 - 4/5*o + 0*o**3 - r*o**4.
-2*o*(o - 1)**2*(o + 2)/5
Let w(d) be the first derivative of 5*d**5 + 65*d**4/2 + 44*d**3 + 124*d**2/5 + 32*d/5 - 96. Factor w(s).
(s + 4)*(5*s + 2)**3/5
Let z = 13073/3 - 4351. Factor z*n**3 + 0 - 8*n**2 + 4/3*n.
4*n*(n - 1)*(5*n - 1)/3
Let q(j) = -36*j - 72. Let k be q(-2). Let c(p) be the third derivative of 0*p + 0*p**4 + k*p**3 + 1/40*p**6 + 0 + 1/10*p**5 - 9*p**2. Factor c(s).
3*s**2*(s + 2)
Let s(j) be the first derivative of -j**3/3 - 11*j**2/2 - 8*j - 9. Let k be s(-10). Factor 3/4*o**k + 3/2 - 9/4*o.
3*(o - 2)*(o - 1)/4
Let l(a) be the second derivative of 4*a + 0 - 1/120*a**6 + 5/6*a**3 + 0*a**4 + 0*a**2 + 1/20*a**5. Let y(r) be the second derivative of l(r). Factor y(s).
-3*s*(s - 2)
Let i(y) = -2*y**2 - 9*y - 9. Let o(g) = -g**2 - g - 1. Let z be (0 - -4) + -1 - 18. Let h(p) = z*o(p) + 3*i(p). Determine t, given that h(t) = 0.
-2/3, 2
Let i(v) = -3*v**2 + 5*v + 1. Let y be i(2). Let s be (-20)/550 + (-2)/5*y. Let 2/11*m - 2/11*m**3 - s*m**2 + 0 + 4/11*m**4 = 0. What is m?
-1, 0, 1/2, 1
Let s(t) be the third derivative of t**6/360 - 13*t**5/90 + 169*t**4/72 + 90*t**2 - t. Find d, given that s(d) = 0.
0, 13
Let b(m) be the third derivative of -m**5/390 - 103*m**4/39 - 42436*m**3/39 + 925*m**2. Solve b(x) = 0 for x.
-206
Let g(m) be the first derivative of -m**4/30 - 2*m**3/5 - 9*m**2/5 - 10*m + 13. Let q(o) be the first derivative of g(o). Factor q(f).
-2*(f + 3)**2/5
Suppose 3*k - 2 = -2*l, 2*l = 5*l - 3*k - 18. Factor 38*j**2 - 23*j**2 + j - 20*j**2 + l*j.
-5*j*(j - 1)
Suppose -4*p - 5*z = 7, -2*z + 3 - 9 = 0. Suppose 0 = w - 4 - 2. Suppose -7 + 2*t**2 + 1 + p*t + w = 0. Calculate t.
-1, 0
Factor -25/2*a - 1/2*a**2 - 23.
-(a + 2)*(a + 23)/2
Let k(h) = -2*h - 5*h**2 - 3 + 2 - h. Let c(r) = 9*r + 20*r**2 + 6*r**2 + 5*r + 4. Let d(j) = -3*c(j) - 16*k(j). Factor d(u).
2*(u + 1)*(u + 2)
Let q = -21 - -27. Let v be q/(0 + -2) - (6 + -9). Let v - 2*c**4 - 2/3*c**3 + 0*c + 0*c**2 = 0. What is c?
-1/3, 0
Let d(j) be the second derivative of -j**6/180 - 4*j**5/45 - 7*j**4/12 - 2*j**3 + 6*j**2 - 28*j. Let h(w) be the first derivative of d(w). Factor h(u).
-2*(u + 2)*(u + 3)**2/3
Let k be -2*2 + (-2 - -2). Let x = 52 + k. Find h such that -39*h**3 + 3*h**4 - 3*h**5 + 4*h - 12*h**2 - h**4 + x*h**3 = 0.
-2, 0, 2/3, 1
Let u(k) = k**3 + 3*k**2 + 8*k + 9. Let a be u(-1). Factor -4/7*y**4 + 0 + 16/7*y + 0*y**2 - 12/7*y**a.
-4*y*(y - 1)*(y + 2)**2/7
Let p(g) be the first derivative of 3/2*g**2 - 2/5*g**3 + 6/5*g - 3/4*g**4 + 28. Solve p(o) = 0.
-1, -2/5, 1
Let b = -20361/2 - -10185. Factor 0*t + 1/2*t**2 + 8*t**5 + b*t**3 + 0 + 12*t**4.
t**2*(t + 1)*(4*t + 1)**2/2
Suppose 35/4*f + 0 - 1/8*f**2 = 0. Calculate f.
0, 70
Factor -36*n + 6 + 4*n**2 + 47 + 19.
4*(n - 6)*(n - 3)
Let -1/6*l**2 - 21*l - 1323/2 = 0. Calculate l.
-63
Factor 0*g + 0 + 1/3*g**4 - 10/3*g**3 + 3*g**2.
g**2*(g - 9)*(g - 1)/3
Let r be 300/(-200)*(-3)/2. Factor -r*w - 3*w**2 - 3/4*w**3 + 0.
-3*w*(w + 1)*(w + 3)/4
Let -24/5 + 18/5*m - 3/5*m**2 = 0. What is m?
2, 4
Let f be -3 + (-3)/1*(-21)/9. Let z(v) be the third derivative of 0*v**3 + 1/105*v**7 - 1/10*v**5 + 0 + 0*v + 0*v**6 + 6*v**2 - 1/6*v**f. Factor z(l).
2*l*(l - 2)*(l + 1)**2
Let a(p) be the second derivative of -p**4/28 + 24*p**3/7 - 864*p**2/7 + p - 5. Factor a(b).
-3*(b - 24)**2/7
Let q = 10956 - 10954. Factor 18/5 + 2/5*x**3 + 6/5*x - q*x**2.
2*(x - 3)**2*(x + 1)/5
Let u(o) = 9*o**2 - 472*o + 18725. Let q(h) = -12*h**2 + 471*h - 18726. Let a(m) = 2*q(m) + 3*u(m). Factor a(d).
3*(d - 79)**2
Let z(o) be the third derivative of 7*o**5/600 - 179*o**4/60 