. Factor p(z).
2*(z - 1)**2
Let s(d) be the third derivative of -d**8/1176 - d**7/1470 + d**6/210 + d**5/210 - d**4/84 - d**3/42 + 67*d**2. Suppose s(o) = 0. What is o?
-1, -1/2, 1
Let h = -14 + 20. Suppose -3*c + 0*c - h = 5*j, 4*c = -j + 9. Factor f**3 - 2*f**3 + 5*f**3 - 2*f**4 - 6*f**c.
-2*f**3*(f + 1)
Let z(w) be the first derivative of -w**7/420 - w**6/120 + w**4/24 + w**3/12 - 11*w**2 + 22. Let k(m) be the second derivative of z(m). Solve k(u) = 0 for u.
-1, 1
Let o(y) = 11*y**2 - 5*y - 11. Let c be (6 - 8)/((-2)/8). Let i(t) = 0 - 5 - 12 - 8*t + 17*t**2. Let z(w) = c*o(w) - 5*i(w). Find d such that z(d) = 0.
-1, 1
Suppose 8*r = 4*r - 13*r. Let o(v) be the second derivative of 0*v**3 - 1/50*v**5 + 0 + 0*v**6 + 1/105*v**7 + r*v**2 + v + 0*v**4. Factor o(j).
2*j**3*(j - 1)*(j + 1)/5
Let d(z) be the first derivative of 1/2*z**3 - 10 - 3/2*z - 3/4*z**2 + 3/8*z**4. Solve d(m) = 0.
-1, 1
Determine k, given that -2*k**2 - 3*k**2 - 32*k + k**2 - 29 - 35 = 0.
-4
Suppose 0 = 5*a - 3*a + 2*q + 562, -5*q = 4*a + 1128. Let s = a - -277. Factor 0*i**3 - 2/19*i**2 + s*i + 0 + 2/19*i**4.
2*i**2*(i - 1)*(i + 1)/19
Let w = -115 - 50. Let c = -114 - w. What is b in -31 + 19*b + 51 + 4*b**2 - c*b + 44 = 0?
4
Let x(r) = -5*r**2 - r + 2. Suppose 8 = -4*g + 4*w, g + 3*w - 18 = -2*g. Let n(o) = -26*o**2 - 4*o + 11. Let l(u) = g*n(u) - 11*x(u). Factor l(p).
3*p*(p + 1)
Let r(z) be the second derivative of z**4/6 + 65*z**3/3 - 98*z. Find a such that r(a) = 0.
-65, 0
Suppose -m - 3*o = -1 - 7, -m - 4 = -3*o. Determine h so that 36*h**4 + 4*h**3 - 2*h**2 + 4*h**5 + 2*h**m - 44*h**4 = 0.
0, 1
Let b = 500101 + -108021611/216. Let r = -2/27 + b. Determine g so that -7/8*g + r*g**3 + 5/8*g**4 - 3/8*g**2 - 1/4 = 0.
-1, -2/5, 1
Let b = -17 + 19. Suppose -4*l = 3*t - 8, b*l + 2*t = -0 + 4. Factor -3*x - 3 + 0*x**l + x**2 + 3.
x*(x - 3)
Let u(q) be the second derivative of q**7/21 - 4*q**6/15 + q**5/2 - q**4/3 + 138*q. Factor u(s).
2*s**2*(s - 2)*(s - 1)**2
Let y(o) = -5*o**2 - 38*o - 99. Let b(j) = -4*j**2 - 36*j - 98. Let m(q) = 3*b(q) - 2*y(q). Suppose m(f) = 0. Calculate f.
-12, -4
Factor 5/3*j**4 - 5*j**2 - 5*j**3 + 55/3*j - 10.
5*(j - 3)*(j - 1)**2*(j + 2)/3
Let z be 160/96 + (-2)/(-6). Determine k, given that 94*k**2 + 10099*k + 150*k**z + 126*k**3 - 16 - 10123*k = 0.
-2, -2/9, 2/7
Let l be 70/120*(-9)/(-70). Let p(k) be the second derivative of -5*k + 0 + 0*k**3 + 1/4*k**4 + l*k**5 + 0*k**2. Factor p(u).
3*u**2*(u + 2)/2
Let s(f) be the third derivative of f**6/10 - 62*f**5/15 + 13*f**4/2 + 40*f**3/3 + 146*f**2. Factor s(z).
4*(z - 20)*(z - 1)*(3*z + 1)
Let y(u) = -8*u**3 - 40*u**2 - 83*u - 3. Let m be 3/(12/152) + 2. Let w(n) = -105*n**3 - 520*n**2 - 1080*n - 40. Let f(i) = m*y(i) - 3*w(i). Factor f(g).
-5*g*(g + 4)**2
Let q(w) be the third derivative of 65*w**8/336 + 4*w**7/7 - w**6/6 - 3*w**2 - 4. Determine j, given that q(j) = 0.
-2, 0, 2/13
Let u be 2786/25074 + ((-34)/36 - -1). What is a in 2/3*a + u*a**3 + 2/3*a**2 + 0 = 0?
-2, 0
Let f(b) = -2*b**2 + b + 3. Let j = 6 + -9. Let i(z) = -z**2 - z + 1. Let n(r) = j*f(r) + 21*i(r). Factor n(y).
-3*(y + 2)*(5*y - 2)
Let w = -2053/2 - -6179/6. Factor 0 - 2/15*h**4 + 4/3*h**3 - w*h**2 + 0*h.
-2*h**2*(h - 5)**2/15
Let f(y) be the first derivative of -2*y**3/27 - 14*y**2/3 - 420. Suppose f(v) = 0. What is v?
-42, 0
Let l = -8/2295 - -20711/16065. Solve 3/7*n**2 + l + 12/7*n = 0 for n.
-3, -1
Let s be ((-12)/8)/(3/(-4)). Find u such that -14*u - 5*u**3 + 20*u**s + 8*u - 9*u = 0.
0, 1, 3
Let n(s) be the first derivative of 10*s**3 + 39 - 55/2*s**2 + 30*s - 5/4*s**4. Factor n(r).
-5*(r - 3)*(r - 2)*(r - 1)
Let u be (567/(-6) - -4) + (-1 - -2). Let y = -88 - u. Suppose 9/2*j - y*j**5 + 9/2*j**4 - 3*j**2 - 3*j**3 - 3/2 = 0. What is j?
-1, 1
Suppose -l + 2*l = -a - 1, 3 = 5*a - 3*l. Factor -4/7*z**4 + 8/7*z + 12/7*z**2 + 0*z**3 + a.
-4*z*(z - 2)*(z + 1)**2/7
Let l(i) be the second derivative of -i**4/78 + 7*i**3/39 + 39*i - 1. Suppose l(k) = 0. What is k?
0, 7
Let r(g) be the third derivative of g**10/15120 - g**9/7560 - g**8/1680 + 4*g**4/3 + 28*g**2. Let n(u) be the second derivative of r(u). Factor n(x).
2*x**3*(x - 2)*(x + 1)
Suppose 198*b - 8 = 197*b. Suppose b*h = 14 + 2. Determine l, given that -6/5*l**h + 0 - 2/5*l**4 + 8/5*l**3 + 0*l = 0.
0, 1, 3
Let d(j) = -125*j**3 - 140*j**2 - 70*j. Suppose 13 = 10*i + 53. Let n(o) = 9*o**3 + 10*o**2 + 5*o. Let w(p) = i*d(p) - 55*n(p). Factor w(x).
5*x*(x + 1)**2
Let b(g) be the third derivative of g**6/30 - g**5/3 - 18*g**2. Factor b(v).
4*v**2*(v - 5)
Solve -1112*a + 104*a**2 - 291*a**2 + 93*a**2 + 98*a**2 + 77284 = 0 for a.
139
Suppose -2*g = -10, 37*g = -4*m + 36*g + 5. Let v(y) be the first derivative of -1/5*y**2 + m*y - 7 - 2/15*y**3. Suppose v(w) = 0. Calculate w.
-1, 0
Let z(v) = -5*v**5 + 20*v**4 + 6*v**3 - 12*v**2 + 7*v + 8. Let a(r) = -3*r**5 + 13*r**4 + 4*r**3 - 8*r**2 + 4*r + 5. Let s(l) = -8*a(l) + 5*z(l). Factor s(p).
-p*(p - 1)*(p + 1)**2*(p + 3)
Let m(b) = -13*b**2 - 460*b - 10580. Let p(n) = -15*n**2 - 460*n - 10580. Let o(j) = 5*m(j) - 4*p(j). Factor o(f).
-5*(f + 46)**2
Suppose -3*z = -23 + 14. Let s be 3/30 + z + (-39)/15. Factor q**3 + s + 3/2*q**5 + 3*q**2 - 5/2*q - 7/2*q**4.
(q - 1)**3*(q + 1)*(3*q - 1)/2
Suppose u = 3*u. Let v(m) be the third derivative of 0*m**3 + 0*m + 0 - 1/40*m**6 + 2*m**2 + 1/8*m**4 + u*m**5. Suppose v(c) = 0. What is c?
-1, 0, 1
Let f be 2/(-25)*-2*(-1 - 170/(-20)). Solve 3/5*z**4 + f*z**2 - 3*z**3 + 0 + 24/5*z = 0 for z.
-1, 0, 2, 4
Let s(d) be the third derivative of -d**6/900 + d**5/90 - d**4/45 + 14*d**2 - 3*d. Factor s(c).
-2*c*(c - 4)*(c - 1)/15
Factor -10 - h + 1/5*h**2.
(h - 10)*(h + 5)/5
Let 0 + 5/2*h**3 - 5/6*h**2 - 5/2*h + 5/6*h**4 = 0. What is h?
-3, -1, 0, 1
Let a(j) be the second derivative of -j**7/3360 + j**6/120 - j**5/10 - 5*j**4/6 + 8*j. Let t(h) be the third derivative of a(h). Determine z so that t(z) = 0.
4
Let t = -174 + 179. Let x(i) = -2*i**2 + 6*i - 9. Let r(h) be the second derivative of -h**2/2 - h. Let p(s) = t*r(s) - x(s). Factor p(f).
2*(f - 2)*(f - 1)
Let a(t) be the first derivative of -t**6/2 - 12*t**5/5 + 33*t**4/4 + 26*t**3 - 96*t**2 + 96*t + 208. Find j such that a(j) = 0.
-4, 1, 2
What is m in -32/17*m - 2/17*m**2 - 128/17 = 0?
-8
Let w = -17 + 18. Solve 14*r**2 - 9*r**2 - 4*r**2 - w = 0.
-1, 1
Let b(i) be the first derivative of -i**3/6 + 10*i**2 - 38*i + 537. Factor b(t).
-(t - 38)*(t - 2)/2
Let t be 483/(-69) + 502/70. Let f(s) be the first derivative of -3/14*s**4 + 1/14*s**6 + 3 + 3/14*s**2 + t*s**5 - 4/7*s**3 + 6/7*s. Let f(b) = 0. What is b?
-2, -1, 1
Let c(m) be the second derivative of 0 + 1/3*m**4 + 0*m**3 - 1/5*m**5 - 3*m + 0*m**2. Suppose c(p) = 0. What is p?
0, 1
Factor 149*i**3 - 83*i**2 - 105 - 7*i + 28*i**2 - 86*i - 154*i**3 - 62*i.
-5*(i + 1)*(i + 3)*(i + 7)
Suppose 0 = -g - 4*g. Let t be g + -2 - (-5 - 0). What is a in -42*a**4 - 5 + 1 + 34*a + 110*a**t - 98*a**2 + 0 = 0?
2/7, 1/3, 1
Let y(a) = 7*a**3 - a**2 - 5*a + 3. Let r(s) = 3*s**3 - s**2 - 2*s + 2. Let o(f) = 5*r(f) - 2*y(f). Let l be o(3). Factor g**3 - l*g**2 - g**3 - 5*g + g - g**3.
-g*(g + 2)**2
Let l(k) be the first derivative of 1/21*k**3 - 24 + 2/7*k**2 + 0*k. Let l(x) = 0. What is x?
-4, 0
Let g(y) = -4*y**2 + 2*y - 10. Let r(p) = p**2 + 1. Suppose 4*v = -0*k + 2*k + 10, 0 = -3*v + 2*k + 9. Let n(b) = v*g(b) + 6*r(b). Factor n(d).
2*(d - 1)*(d + 2)
Let z be (-630)/(-288)*6/7. Let m be (-1242)/(-920) + (14/10 - 2). Factor 6*b**4 + 27/8*b**5 + 0*b + z*b**3 - m*b**2 + 0.
3*b**2*(b + 1)**2*(9*b - 2)/8
Let q = 5281/3310 + 3/662. Find a such that 8/5*a**2 - 2/5*a + q*a**4 - 2/5*a**5 - 12/5*a**3 + 0 = 0.
0, 1
Let j(u) = u**3 + 15*u**2 + 13*u - 14. Let r be j(-14). Let i be (r + 24/30)*1. Factor s - i*s**2 - 2/5 + 1/5*s**3.
(s - 2)*(s - 1)**2/5
Let 2/7*d**4 - 32/7*d + 0 - 8/7*d**2 + 8/7*d**3 = 0. What is d?
-4, -2, 0, 2
Let z(l) = l**3 + l**2. Let g(p) = -11*p**3 + 44*p**2 - 45*p. Let k(v) = -g(v) - 6*z(v). Find m such that k(m) = 0.
0, 1, 9
Suppose 0 = -y + 77 - 44. Solve 15*b**2 - y*b**2 + 13*b**2 = 0.
0
Let p(c) be the first derivative of 25/4*c**4 - 20*c**2 + 30*c**3 + 0*c - 18. What is h in p(h) = 0?
-4, 0, 2/5
Let b(v) = v**2 - 6. Let j be b(-3). Find s such that 7*s**2 + 4*s**2 - 25*s**3 + 9*s**j - 6*s**4 -