e the second derivative of t(w). Factor x(i).
4*i**3*(i - 1)**2/5
Let g be 14/77 - -4*7/(-154). Let z(a) be the first derivative of 0*a**4 + g*a**3 - 4/5*a**5 + 0*a**2 + 9 + 0*a. Solve z(o) = 0.
0
Let u(b) = -6*b - 62. Let i be u(-9). Let x be 24/(-9)*(22/i - -2). Suppose -1/5*y**x + 2/5*y + 0 = 0. Calculate y.
0, 2
Let g(r) be the second derivative of -r**5/150 + 2*r**4/45 + 29*r**3/45 + 8*r**2/5 - 304*r. Factor g(b).
-2*(b - 8)*(b + 1)*(b + 3)/15
Let s be 20/2*3*(-2)/(-15). Factor l**5 + 2*l**s - l**3 + 2 - 2*l**5 - 2.
-l**3*(l - 1)**2
Suppose -446/9*f**2 + 8/9 - 160/9*f - 98/9*f**3 + 20*f**4 = 0. What is f?
-1, -1/2, 2/45, 2
Let i(j) be the first derivative of 3 - 3/2*j**2 + 0*j + 1/3*j**3 - 1/30*j**5 + 0*j**4. Let l(s) be the second derivative of i(s). Factor l(a).
-2*(a - 1)*(a + 1)
Suppose -3*c - 7 = -5*z, 4*z - 13 = c - 6*c. Let u(m) be the first derivative of 3/16*m**4 - 15/8*m**z + 9/4*m + 3 + 1/4*m**3. Factor u(w).
3*(w - 1)**2*(w + 3)/4
Let f(k) be the third derivative of -k**6/600 - k**5/300 + k**4/120 + k**3/30 + 4*k**2 - 8. Factor f(u).
-(u - 1)*(u + 1)**2/5
Let i(l) = l**2 + 18*l + 36. Let p be i(-16). Factor 4*k - k**3 + 12*k**2 - p*k - 8*k**2.
-k**2*(k - 4)
Let y(u) = -2*u - 7. Suppose -13*b = -14*b - 5. Let d be y(b). Let 0*r - 6*r + 2*r**3 + r**d + 3*r**2 + 0*r = 0. Calculate r.
-2, 0, 1
Let v = -44286 - -44289. Solve 20/11 + 2/11*m - 2/11*m**v - 20/11*m**2 = 0.
-10, -1, 1
Factor 4/3*t**4 + 0 + 8/3*t**3 + 0*t + 0*t**2.
4*t**3*(t + 2)/3
Factor -1431*o**3 - 1433*o**3 + 2*o**2 + 12*o + 2862*o**3.
-2*o*(o - 3)*(o + 2)
Let v(z) be the first derivative of z**9/4536 - z**8/1512 + z**7/3780 + z**6/1620 + z**3 + 7. Let p(y) be the third derivative of v(y). Let p(d) = 0. What is d?
-1/3, 0, 1
Let z(f) be the third derivative of -f**7/210 - 11*f**6/120 + 13*f**5/60 + 11*f**4/24 - 2*f**3 + f**2 - 47. Factor z(d).
-(d - 1)**2*(d + 1)*(d + 12)
Suppose -2*r + 4 = -6. Solve 3*w**2 + r*w**3 + 126*w - 3 - 129*w - 2*w**3 = 0 for w.
-1, 1
Let s = -1148 + 5742/5. Suppose -2/5*p**4 - 6/5*p**3 + 4/5*p + s*p**2 + 0 + 2/5*p**5 = 0. What is p?
-1, 0, 1, 2
Factor -84 - 5*j**3 + 12*j**2 - 2*j**3 - 26*j + 5*j**3 + 0*j**3 + 4*j**3.
2*(j - 3)*(j + 2)*(j + 7)
Let s(l) = l**5 - l**4 + l**3 + l**2 - l + 1. Let r(h) = 4*h**5 + h**4 - 121*h**3 - 321*h**2 - 239*h - 1. Let q(u) = -r(u) - s(u). Suppose q(j) = 0. What is j?
-2, 0, 6
Let d(j) = 3*j**3 + j**2 - 31*j + 27. Let y(b) = 3*b**3 - 30*b + 27. Let f(t) = -3*d(t) + 4*y(t). Factor f(m).
3*(m - 3)*(m - 1)*(m + 3)
Let 259 + 24*z + 0*z**2 - 60*z**2 + 14*z**3 + 15*z**4 - 259 - 56*z**3 + 9*z**5 = 0. What is z?
-2, 0, 1/3, 2
Suppose -5*l + 3*v + 29 = 0, 4*v = -120*l + 122*l - 20. Find z, given that -2662/7*z**5 - 232/7*z + 3872/7*z**l - 940/7*z**2 - 22/7*z**3 - 16/7 = 0.
-2/11, 1
Let l = 45 - 25. Find h, given that -h**2 + 292*h**3 - h**2 - 296*h**3 + 22*h**2 + 4*h**5 - l*h**4 = 0.
-1, 0, 1, 5
Suppose -3*h + 49 = 49. Let o(k) be the second derivative of h*k**2 - 3/20*k**5 + 0*k**4 + 0 - 4*k + 1/14*k**7 + 0*k**6 + 0*k**3. Factor o(u).
3*u**3*(u - 1)*(u + 1)
Let q(z) be the second derivative of z**5/60 + 2*z**4/9 - 11*z**3/18 - 3*z**2 - 11*z. Factor q(v).
(v - 2)*(v + 1)*(v + 9)/3
Let z(x) be the first derivative of -x**6/21 - 8*x**5/35 - 2*x**4/7 + 4*x**3/21 + 5*x**2/7 + 4*x/7 + 129. Solve z(w) = 0 for w.
-2, -1, 1
Let h(u) be the first derivative of u**4/8 + 5*u**3/6 - 2*u**2 - 24*u + 41. Factor h(y).
(y - 3)*(y + 4)**2/2
Let z = -17392 + 121808/7. Factor 4/7*w**2 + 256/7 + z*w.
4*(w + 8)**2/7
Solve -2*w**5 - 748*w**3 + 28*w**2 + 702*w**3 + 5*w**4 + 13*w**4 + 2*w**2 = 0 for w.
0, 1, 3, 5
Let r be ((-24)/10)/(3/(-16 + 1)). Suppose r*z = 16*z. Factor 0*v**2 - 4/5*v**5 + z*v + 2/5*v**3 + 0 + 7/5*v**4.
-v**3*(v - 2)*(4*v + 1)/5
Let p(z) be the third derivative of -z**8/1008 + z**6/72 - z**4/18 - 128*z**2. Solve p(n) = 0 for n.
-2, -1, 0, 1, 2
Let d be ((-27)/15 + 2)/(1/(-341)). Let n = -68 - d. Find a such that n*a**2 + 0*a - 1/5 = 0.
-1, 1
Let j(h) be the second derivative of 0*h**2 - 1/12*h**3 + 1/24*h**4 + 0 - 1/120*h**6 + 37*h + 3/160*h**5 - 1/336*h**7. Factor j(n).
-n*(n - 1)**2*(n + 2)**2/8
Let a be (9/(-4))/(-3) - (-4 + (-209)/(-44)). Find d such that d + 3/4*d**2 + 3/8 - 1/8*d**4 + a*d**3 = 0.
-1, 3
Let h(i) be the second derivative of -15*i + 0 + 16/7*i**2 - 8/21*i**3 + 1/42*i**4. What is u in h(u) = 0?
4
What is j in 32/13*j**2 + 0*j - 66/13*j**3 + 36/13*j**4 - 2/13*j**5 + 0 = 0?
0, 1, 16
Let c(u) be the third derivative of -1/210*u**7 + 1/60*u**6 - 1/12*u**4 + 0 + 1/15*u**5 - 1/2*u**3 - 16*u**2 + 0*u. Factor c(y).
-(y - 3)*(y - 1)*(y + 1)**2
Let b be -3 + (38/(-57))/((-4)/18). Let p(m) be the first derivative of b*m**2 - 2 - 2*m + 2/3*m**3. Factor p(o).
2*(o - 1)*(o + 1)
Find a, given that 2/3*a**2 + 40/9*a - 2/9*a**5 + 2*a**4 - 38/9*a**3 - 8/3 = 0.
-1, 1, 2, 6
Let j(u) = -28*u**3 + 38*u**2 + 30*u + 3. Let f(a) = -195*a**3 + 265*a**2 + 210*a + 20. Let m(g) = 3*f(g) - 20*j(g). Suppose m(x) = 0. What is x?
-3/5, 0, 2
Let q(u) be the second derivative of 1/4*u**5 + 5/12*u**4 + 34*u + 0*u**3 + 0*u**2 + 0. Factor q(o).
5*o**2*(o + 1)
Let r(z) be the first derivative of -4 - 9/40*z**6 + 0*z**2 - 3/10*z**5 + 0*z - 1/6*z**4 + 2*z**3. Let l(q) be the third derivative of r(q). Factor l(v).
-(9*v + 2)**2
Let a(u) be the first derivative of 2*u**5/15 + u**4 + 10*u**3/9 - 8*u**2 - 24*u + 103. Factor a(h).
2*(h - 2)*(h + 2)*(h + 3)**2/3
Let l = 2557 + -2557. Factor l*r + 0 - 2/11*r**4 + 1/11*r**3 + 0*r**2 + 1/11*r**5.
r**3*(r - 1)**2/11
Determine p so that 5/2*p + 7/4*p**2 - 1/4*p**4 - p**3 + 0 = 0.
-5, -1, 0, 2
Factor 24 - 2/3*c**2 + 32/3*c.
-2*(c - 18)*(c + 2)/3
Let z(q) be the third derivative of 2/75*q**5 + 8/15*q**3 + 44*q**2 - 11/20*q**4 + 0*q + 0. Determine w so that z(w) = 0.
1/4, 8
Suppose 6*y - 8 = 10. Suppose -5*h - 2*h**3 + 0*h**3 + 10*h**2 - h**y - 2*h**3 = 0. Calculate h.
0, 1
Let l(s) = -s**5 - 16*s**4 + 36*s**3 - 3*s**2 - 6*s - 3. Let k(d) = -d**5 - 16*d**4 + 36*d**3 - 2*d**2 - 4*d - 2. Let f(o) = 3*k(o) - 2*l(o). Factor f(y).
-y**3*(y - 2)*(y + 18)
Let s(g) = -10*g**2 + 9*g - 8. Let z(d) = d**2 - d + 1. Let u(y) = -y**2 + 9*y + 4. Let v be u(9). Let a(f) = v*s(f) + 36*z(f). Factor a(l).
-4*(l - 1)*(l + 1)
Let h(x) = -237*x**4 - 144*x**3 + 75*x**2 - 8*x + 10. Let w(d) = -236*d**4 - 142*d**3 + 74*d**2 - 8*d + 12. Let r(s) = -6*h(s) + 5*w(s). Factor r(o).
2*o*(o + 1)*(11*o - 2)**2
Let o(i) = i**3 - 3*i**2 - 4*i + 5. Let a(c) = c**2 - 3*c - 6. Let b be a(5). Let l be o(b). Factor 22*f**3 - f**2 - 38*f**3 + l*f**2.
-4*f**2*(4*f - 1)
Suppose -s + 75 = 2*r + r, -5*r - 15 = 0. Let d = -80 + s. Factor 6/5*z**2 + 0 + 0*z - 9/5*z**3 + 3/5*z**d.
3*z**2*(z - 2)*(z - 1)/5
Let m = 8180 + -24490/3. Find t, given that m + 2/3*t**2 - 20/3*t = 0.
5
Let z(l) = -25*l**5 - 85*l**4 + 70*l**3 - 5*l + 5. Let c(v) = 24*v**5 + 85*v**4 - 71*v**3 + 4*v - 4. Let s(g) = -5*c(g) - 4*z(g). Factor s(x).
-5*x**3*(x + 5)*(4*x - 3)
Let g(a) = 9*a**5 + 12*a**4 + 3*a**3 - 3*a**2 - 7*a - 4. Let b(f) = f**5 - f**3 + f**2 + f. Let d(m) = 5*b(m) - g(m). Factor d(s).
-4*(s - 1)*(s + 1)**4
Let t be ((-8)/(-5))/(3*(-14)/105). Let m be (87/(-42) - -2)*t. Factor -m*p**3 - 16/7 - 12/7*p**2 - 24/7*p.
-2*(p + 2)**3/7
Let h(s) be the first derivative of 0*s**2 + 2/21*s**3 + 6 + 0*s - 1/35*s**5 - 1/28*s**4. Suppose h(n) = 0. What is n?
-2, 0, 1
Let p(w) be the second derivative of w**6/120 - w**5/80 - 11*w**3/6 - w. Let z(t) be the second derivative of p(t). Suppose z(m) = 0. What is m?
0, 1/2
Let d = 330/7 + -2900/63. Let i = 60/7 - 166/21. Find r, given that -i*r**3 + d*r**4 - 8/3*r**2 + 0 - 8/9*r = 0.
-1, -2/5, 0, 2
Factor 0*d**2 + 0 + 2/7*d - 2/7*d**3.
-2*d*(d - 1)*(d + 1)/7
Let h(x) = -11 + 25*x - 137*x**2 + 28 - 662*x**2 + 22. Let y(c) = -399*c**2 + 13*c + 19. Let p(d) = 3*h(d) - 7*y(d). Factor p(m).
4*(9*m - 2)*(11*m + 2)
Let o = 280 - 274. Let h(g) be the second derivative of 1/40*g**5 + 3*g + 0 + 0*g**4 + 0*g**3 - 1/120*g**o + 0*g**2. Suppose h(n) = 0. Calculate n.
0, 2
Let l(r) = r**3 + 8*r**2 + 9*r + 17. Let p be l(-7). Factor -64 + 57*y - 213*y**p - 320*y**2 + 113*y**3 + 247*y.
-4*(y + 4)*(5*y - 2)**2
Suppose 75*q = 43*q. Solve q*g + 0*g**2 + 0 + 0*g**4 + 8/5*g**3 - 2/5*g**5 = 0 for g.
-2, 0, 2
Let x = 148 + -144. Let p(t) be the second der