se 4*u = -2*d + 22, 0*u - 3*u = -5*d + 3. Let k(g) be the first derivative of 2 + 3*g**2 + 0*g - 2/3*g**d. Suppose k(h) = 0. Calculate h.
0, 3
Suppose 44 - 20 = -52*q + 24. Suppose 32*z + q + 1/2*z**4 + 6*z**3 + 24*z**2 = 0. Calculate z.
-4, 0
Solve 0*j + 10/9*j**3 + 8/9*j**2 + 2/9*j**4 + 0 = 0 for j.
-4, -1, 0
Let n be 2*((-2)/(-4) - 1). Let x be (0 - n)/((-12)/(-36)). Factor x - 3 - 3*s**2 - 3*s.
-3*s*(s + 1)
Let r(m) = 2*m**4 - m**3 + m - 1. Let n(u) = -196*u**5 + 2246*u**4 - 831*u**3 - 1040*u**2 - 173*u - 3. Let i(h) = n(h) - 3*r(h). Suppose i(k) = 0. What is k?
-2/7, 0, 1, 11
Let s be (5 - (-5)/(-3))/(16/24). Let k(q) be the third derivative of 2*q**2 + 0*q**3 + 1/30*q**s + 0 + 1/3*q**4 + 0*q. Factor k(j).
2*j*(j + 4)
Let i(w) = 3*w**2 - 11*w + 2. Let b be i(1). Let u be 5 + 16*b/20. Factor -u*r**4 + 3/5 + 0*r**3 + 6/5*r**2 + 8/5*r.
-(r - 3)*(r + 1)**3/5
Let c(s) = -14*s**2 - 2*s + 18. Let f(a) = 15*a**2 + a - 19. Suppose -2*v + 0 = 10. Let m(r) = v*c(r) - 6*f(r). Suppose m(y) = 0. What is y?
-1, 6/5
Let z(o) = -o + 10. Let d be z(8). Let t be 0/7 - (d + -5). Factor -4/5*k**t + 2*k**5 + 0*k**2 + 6/5*k**4 + 0*k + 0.
2*k**3*(k + 1)*(5*k - 2)/5
Let j(k) be the second derivative of -k**5/10 + 3*k**4/2 + 4*k**3 - 20*k**2 + 5*k - 18. Factor j(o).
-2*(o - 10)*(o - 1)*(o + 2)
Let t = 318 - 1581/5. Factor 6/5*a + t*a**2 - 3/5.
3*(a + 1)*(3*a - 1)/5
Let x(j) be the first derivative of -5/12*j**2 - 1/18*j**3 + 35 - j. Factor x(u).
-(u + 2)*(u + 3)/6
Let i(b) be the second derivative of 8*b**2 - 4/21*b**7 + 1/3*b**6 + 10*b + 23/10*b**5 - 28/3*b**3 - 11/3*b**4 + 1. Let i(a) = 0. What is a?
-2, -1, 1/4, 2
Let -4/21*t**2 + 0 + 0*t - 2/7*t**3 - 2/21*t**4 = 0. Calculate t.
-2, -1, 0
Let m(c) be the first derivative of -5*c**3/3 - 5*c**2/2 - 79. Factor m(y).
-5*y*(y + 1)
Let c = 37035 + -185167/5. Find o, given that -c*o**3 - 8/5*o - 2/5 - 2/5*o**4 - 12/5*o**2 = 0.
-1
Let d(w) be the first derivative of 5 + 9/16*w**2 - 3/8*w**3 + 3/32*w**4 - 3/8*w. Factor d(c).
3*(c - 1)**3/8
Let a(j) = j**2 + 17*j + 55. Let x be a(-13). Determine p, given that -1/5*p**2 + 1/10 + 0*p + 0*p**x + 1/10*p**4 = 0.
-1, 1
Factor 1906*g**3 - 5*g**2 - 1897*g**3 - g**2 - 3*g**5.
-3*g**2*(g - 1)**2*(g + 2)
Let p be ((-27)/(-65))/(351/1170). Factor -14/13*s**2 - 4/13 + p*s.
-2*(s - 1)*(7*s - 2)/13
Let u(l) be the second derivative of l**6/72 - l**5/8 - 5*l**4/6 + l**3/2 + 3*l. Let g(j) be the second derivative of u(j). Factor g(m).
5*(m - 4)*(m + 1)
Let t(d) be the second derivative of 15*d**7/14 - d**6/2 - 7*d**5/2 + 5*d**4/6 + 25*d**3/6 + 5*d**2/2 - 7*d + 1. Find j, given that t(j) = 0.
-1, -1/3, 1
Let i = 35 - 33. Suppose -18*j - 4*j**2 + 8*j**2 - j**i + 15 = 0. What is j?
1, 5
Let f = 3088 + -3088. Factor f + 6/5*c**3 + 2/5*c - 6/5*c**2 - 2/5*c**4.
-2*c*(c - 1)**3/5
Let f(r) be the third derivative of r**5/180 - 5*r**4/24 + 7*r**3/9 + r**2 + 301*r. Suppose f(o) = 0. What is o?
1, 14
Let b be ((-2)/(-6) + 1)/((-3)/(-9)). Let o(a) be the second derivative of 2*a**2 - b*a + 0 + 0*a**3 - 1/3*a**4. Find r, given that o(r) = 0.
-1, 1
Suppose -8*o + 2379 = 2363. What is d in 3/7*d**o + 2/7 + d = 0?
-2, -1/3
Let x be ((-4)/26)/(4/(-20))*(-1404)/(-1170). Factor -2/13*f**3 - 12/13 + 2/13*f + x*f**2.
-2*(f - 6)*(f - 1)*(f + 1)/13
Let k = 9675 - 67723/7. Factor k*d - 8/21 + 2/21*d**2.
2*(d - 1)*(d + 4)/21
Let c(o) be the first derivative of -o**6/72 - o**5/24 + 4*o**3 - 7. Let u(r) be the third derivative of c(r). Factor u(z).
-5*z*(z + 1)
Factor 5760*q - 3*q**4 - 2*q**4 + 0*q**4 + 107*q**3 - 37*q**3 + 180*q**3 - 3360*q**2.
-5*q*(q - 24)**2*(q - 2)
Suppose 180*v - 1413 = 387. Solve 4*z + v + 2/5*z**2 = 0 for z.
-5
Suppose 0 = -2*f - 20 + 24. Let 18*b - 10 - 12*b**2 - 3*b + 5*b**f + 2*b**2 = 0. Calculate b.
1, 2
Let d(o) be the first derivative of 8 - o**2 - 2/3*o**3 + 4*o. Factor d(s).
-2*(s - 1)*(s + 2)
Let u(b) be the second derivative of -b**5/10 - 7*b**4/4 - 14*b**3/3 - 9*b**2/2 + 83*b. Determine l, given that u(l) = 0.
-9, -1, -1/2
Let j = 38 - 35. Let q(r) = -r**3 + 4*r**2 - 6. Let z be q(j). Let 0*g - 2/9 + 2/3*g**2 - 4/9*g**z = 0. Calculate g.
-1/2, 1
Let q(r) be the first derivative of 2/3*r**2 + 0*r - 13 - 1/30*r**5 + 2/9*r**3 - 1/12*r**4. Factor q(t).
-t*(t - 2)*(t + 2)**2/6
Let i = 24 - 22. Suppose -5*u = f - 16, 5 = i*f + 3*f. Factor 4*a + u*a - 8*a**2 + a + 2*a**3.
2*a*(a - 2)**2
Let z(w) be the second derivative of 39*w - 12*w**2 + 0 - 1/4*w**4 - 9/2*w**3. Suppose z(p) = 0. Calculate p.
-8, -1
Let w be 4 - 7 - 258/(-88). Let i = 149/396 - w. Factor 0 - i*m - 2*m**2 - 8/3*m**3 - 10/9*m**4.
-2*m*(m + 1)**2*(5*m + 2)/9
Let c(i) be the second derivative of i**6/150 + i**5/100 - i**4/6 + 4*i**3/15 - 609*i. Factor c(f).
f*(f - 2)*(f - 1)*(f + 4)/5
Let y(s) = s**3 + 73*s**2 + 94*s - 174. Let a(o) = 10*o**3 + 655*o**2 + 845*o - 1565. Let q(p) = -6*a(p) + 55*y(p). Factor q(b).
-5*(b - 18)*(b - 1)*(b + 2)
Let o(v) = -13*v**2 - 8*v + 21. Suppose 4*r + 7 = -1. Let m(j) = -6*j**2 - 4*j + 10. Let l(z) = r*o(z) + 5*m(z). Factor l(b).
-4*(b - 1)*(b + 2)
Let c = 349/30 + -23/2. Suppose 10*a = 3*a + 14. Factor -2/15*d + 0 + c*d**a.
2*d*(d - 1)/15
Let u be 8 - (12/(-64) + 8). Let m(a) be the first derivative of -a + 5/12*a**3 + u*a**4 + 8 - 1/2*a**2. What is n in m(n) = 0?
-2, -2/3, 1
Let j(y) be the third derivative of -y**6/360 - 7*y**5/90 + y**4/72 + 7*y**3/9 - 8*y**2 + 4. Solve j(l) = 0.
-14, -1, 1
Let o(c) = -c**2. Let n(y) be the first derivative of -y**3/3 - 3*y**2 - 4*y + 26. Let z(x) = -n(x) - o(x). Determine s so that z(s) = 0.
-2, -1
Let c(d) = -2*d - 34. Let l be c(-16). Let q be l/(-3 + 0 + -8). Solve -16/11*p**2 + 0 + 32/11*p + q*p**3 = 0 for p.
0, 4
Factor -14/9*h**5 - 6*h**4 - 2/3*h - 44/9*h**2 - 76/9*h**3 + 2/9.
-2*(h + 1)**4*(7*h - 1)/9
Suppose -26*u + 10 = 5*d - 29*u, 4 = 2*d + u. Let o(r) be the third derivative of 16/3*r**3 + 0*r + 0 - 9*r**d + 2/3*r**4 + 1/10*r**6 - 2/3*r**5. Factor o(c).
4*(c - 2)**2*(3*c + 2)
Factor 27*q**3 - 2 - 72*q**2 + 44*q + 36*q - 3*q**4 + 2 - 32*q.
-3*q*(q - 4)**2*(q - 1)
Let k = -29 + 38. Factor -10*n**3 + 45*n**2 - 23*n**3 + 6 + k*n**4 - 3*n - 24*n.
3*(n - 1)**3*(3*n - 2)
Let p(f) be the first derivative of -9*f**4 - 4*f**2 + 28/3*f**3 + 4*f**5 + 11 - 2/3*f**6 + 0*f. Factor p(q).
-4*q*(q - 2)*(q - 1)**3
Let i(u) = 6*u**3 + 17*u**2 - 11*u - 7. Let l(q) = 3*q**3 + 9*q**2 - 6*q - 3. Let b = 31 - 36. Let s(h) = b*l(h) + 3*i(h). Factor s(r).
3*(r - 1)*(r + 1)*(r + 2)
Let r(n) be the second derivative of -n**7/840 + n**6/120 + 3*n**5/40 + n**4 - 9*n. Let d(z) be the third derivative of r(z). Factor d(y).
-3*(y - 3)*(y + 1)
Let o(p) be the third derivative of -p**8/336 + p**6/30 + p**5/30 - p**4/8 - p**3/3 - 548*p**2. Factor o(q).
-(q - 2)*(q - 1)*(q + 1)**3
Let r(z) be the third derivative of -z**5/120 + 23*z**4/48 + 761*z**2. Factor r(v).
-v*(v - 23)/2
Let z(v) be the second derivative of -24*v - 10*v**2 + 8/3*v**3 + 0 + 1/3*v**4. Factor z(x).
4*(x - 1)*(x + 5)
Determine r so that 29*r - r + 24 - 507*r**4 - 12*r**2 + 511*r**4 - 12*r**3 = 0.
-1, 2, 3
Let q(a) be the first derivative of 7/4*a**4 - a + 15 + 1/3*a**3 - 7/2*a**2. Factor q(d).
(d - 1)*(d + 1)*(7*d + 1)
Let r = -7505/189 + 279/7. Let x(q) be the second derivative of -5*q + 1/9*q**2 + r*q**3 + 0 + 1/18*q**4. What is o in x(o) = 0?
-1, -1/3
Let b(q) be the first derivative of 50/11*q - 16 - 1/22*q**4 + 2/3*q**3 - 35/11*q**2. Factor b(c).
-2*(c - 5)**2*(c - 1)/11
Factor 261/2*j + 22707/2 + 3/8*j**2.
3*(j + 174)**2/8
Let p(k) be the first derivative of 4/7*k - 47 + 2/21*k**3 + 3/7*k**2. Suppose p(q) = 0. Calculate q.
-2, -1
Let v(w) = 9 - 23*w**3 + 7*w**2 + 4 - w**2 - 9*w**2. Let t(p) = 11*p**3 + p**2 - 6. Let g(q) = 13*t(q) + 6*v(q). Factor g(z).
5*z**2*(z - 1)
Let b be 48/14*(4 + -11). Let q be ((b/63)/2)/(24/(-28)). Factor q*t**2 - 2/9 + 0*t.
2*(t - 1)*(t + 1)/9
Let w(y) = -y**2 + 7*y - 10. Let h be w(4). Determine l, given that -l**2 + 8*l - 8*l + 0*l**h = 0.
0
Suppose 11 = -4*p + 3. Let m be 1 + -1 + p + 4. Find c, given that 2 + c**2 + 2*c**m - 2 - 3*c = 0.
0, 1
Let c(n) be the second derivative of -1/42*n**4 + 0 + 0*n**3 - 1/70*n**5 + 0*n**2 - 2*n. Suppose c(s) = 0. What is s?
-1, 0
Let z(f) be the second derivative of 1/6*f**4 + 0*f**5 - 5/6*f**3 + 0*f**2 + 0 - 1/90*f**6 - 10*f. Let 