o so that h(o) = 0.
-6, 1/3, 2
Let z be ((-4)/8)/(1/(-6)). Let f = 0 + z. Factor -4 - 9 + 8 + 22*r + 1 - 32*r**2 + 14*r**f.
2*(r - 1)**2*(7*r - 2)
Let i be 24/(-18)*3/2. Let o(v) = -3*v - 4. Let p be o(i). Factor -11*x**3 + p*x**2 + 2*x**3 - 6*x**2 - 5*x**3.
-2*x**2*(7*x + 2)
Let k(v) be the second derivative of 7*v**5/120 + v**4/18 - 17*v**3/36 + v**2/2 - 983*v. Factor k(c).
(c - 1)*(c + 2)*(7*c - 3)/6
Let p = -6/233 + 747/1864. Let c(b) be the first derivative of 1/8*b**3 + 7 + 3/16*b**2 - p*b - 3/32*b**4. Factor c(k).
-3*(k - 1)**2*(k + 1)/8
Let w(m) be the first derivative of -4/9*m - 1/18*m**4 + 4/27*m**3 + 17 + 1/9*m**2. Factor w(l).
-2*(l - 2)*(l - 1)*(l + 1)/9
Let j(b) be the second derivative of -b**7/1680 + b**6/240 - b**5/120 - 2*b**3/3 - 10*b. Let p(l) be the second derivative of j(l). What is k in p(k) = 0?
0, 1, 2
Factor 3/4*d**3 + 0*d - 3 + 9/4*d**2.
3*(d - 1)*(d + 2)**2/4
Suppose -2*w + 142 = 120. Factor 237*x - 19 - w - 272*x - 5*x**2.
-5*(x + 1)*(x + 6)
What is o in 15 + 45/2*o**2 - 145/2*o = 0?
2/9, 3
Let f = 155 + -106. Let a = 247/5 - f. Factor -a*c**2 - 2/5 - 4/5*c.
-2*(c + 1)**2/5
Let d(i) = -i**2 + 9*i + 3. Let a be d(8). Find b, given that 5*b**4 + 3 + 2 - a*b**2 + b**2 = 0.
-1, 1
Let o(y) be the second derivative of -7/60*y**4 + 0*y**2 + 26*y + 1/15*y**3 + 7/150*y**6 + 0 - 1/50*y**5. Factor o(n).
n*(n - 1)*(n + 1)*(7*n - 2)/5
Let c = 49 - 45. Let q be c - (1 - (-4 - -3)). Suppose -1/3 - 2/3*k - 1/3*k**q = 0. Calculate k.
-1
Let l(y) be the second derivative of 1/56*y**4 + 0*y**2 - 1/840*y**6 + 0*y**5 + 4*y + 1/3*y**3 + 0. Let a(f) be the second derivative of l(f). Factor a(i).
-3*(i - 1)*(i + 1)/7
Let j(g) be the second derivative of 1/2*g**5 - 4/21*g**7 + 0 - 1/3*g**3 - 15*g + 1/2*g**4 + 0*g**2 - 1/5*g**6. Suppose j(n) = 0. What is n?
-1, 0, 1/4, 1
Let o = 11 - 8. Factor -17*v**2 + 6 + 15*v**2 + 14*v + 12*v**2 - 2*v**3 + 4*v**o.
2*(v + 1)**2*(v + 3)
Let d(f) = f**4 + f**3 - 1. Let r(y) = -2*y**4 + 7*y**3 + 15*y**2 + 6*y + 5. Let p = 38 + -37. Let t(u) = p*r(u) + 5*d(u). Factor t(v).
3*v*(v + 1)**2*(v + 2)
Suppose 0 = -39*h + 43*h + 4, -h = b + 1. Determine n so that 4/3*n**2 + 8*n**3 + 16/3*n**5 + 12*n**4 + b*n + 0 = 0.
-1, -1/4, 0
Let a(w) be the third derivative of -w**8/84 - 2*w**7/35 - w**6/15 - 236*w**2. Find d such that a(d) = 0.
-2, -1, 0
Let y be ((-22)/72 + 8/32)*-4. Let r(q) be the first derivative of y*q**3 + 0*q - 3 + 0*q**2 + 1/12*q**4. Factor r(x).
x**2*(x + 2)/3
Let w(f) be the third derivative of -f**5/300 + 209*f**4/60 - 43681*f**3/30 - 286*f**2. Solve w(d) = 0 for d.
209
Factor 2/3*z - 1/6*z**2 + 16/3.
-(z - 8)*(z + 4)/6
Let g(k) be the third derivative of 0*k + 0 - 3/40*k**5 + 12*k**2 + 1/2*k**3 + 1/16*k**4 + 1/140*k**7 - 1/80*k**6. Factor g(v).
3*(v - 2)*(v - 1)*(v + 1)**2/2
Let a = 5161/20 + -258. Let f(q) be the third derivative of 0*q + 3*q**2 - q**3 + a*q**5 + 1/8*q**4 + 0. Let f(p) = 0. What is p?
-2, 1
Let g be -4 + 11 + 12/(-3). Solve 5*s**2 - 1 - 4*s**4 - 5*s**4 - 3*s + g*s**4 + 3*s**3 + 2*s**4 = 0 for s.
-1, -1/4, 1
Let q(z) be the third derivative of 1/840*z**7 - 1/32*z**4 + 0*z + 1/160*z**6 + 0 + 8*z**2 + 0*z**3 - 1/240*z**5. Factor q(o).
o*(o - 1)*(o + 1)*(o + 3)/4
Suppose 2*i + 2 = 3*i. Factor 3 + 7*u**2 - 9*u**2 - 8*u + 2*u**2 - 3*u**i.
-(u + 3)*(3*u - 1)
Let b(a) be the second derivative of 0*a**3 + 0*a**4 + 0 + 1/120*a**5 + 3/2*a**2 - 4*a. Let d(u) be the first derivative of b(u). Factor d(w).
w**2/2
Let a(v) be the second derivative of v**5/50 + 2*v**4/3 + 171*v + 1. Let a(f) = 0. Calculate f.
-20, 0
Let i be 185/180 + -5 + 4. Let m(c) be the third derivative of 0 + 0*c + 4*c**2 + 0*c**3 + 1/90*c**5 - i*c**4. Factor m(s).
2*s*(s - 1)/3
Let k(j) be the first derivative of -j**5/5 - 15*j**4/4 + j**3 + 43*j**2/2 - 30*j + 671. Solve k(b) = 0 for b.
-15, -2, 1
Suppose -26/3*v**3 - 8/3 + 1/3*v**5 - 31/3*v - 44/3*v**2 - 4/3*v**4 = 0. Calculate v.
-1, 8
Let p(y) = -41*y + 205. Let q be p(5). Factor x + 21/4*x**3 + 6*x**2 + q - 49/4*x**4.
-x*(x - 1)*(7*x + 2)**2/4
Let b(r) be the first derivative of 2*r**3 + 0*r**4 - 12 - 6/5*r**5 + 3/2*r**2 - 1/2*r**6 + 0*r. Factor b(i).
-3*i*(i - 1)*(i + 1)**3
Let z(d) be the first derivative of 37 - 1/14*d**4 + 0*d**2 - 8/21*d**3 + 0*d. Factor z(f).
-2*f**2*(f + 4)/7
Determine f so that f**3 + 6/5*f + 0 + 17/5*f**2 = 0.
-3, -2/5, 0
Let j be 26/3*-1 + (-6)/(-9). Let k(z) = -5*z**2 - 17*z + 3. Let n(t) = -14*t**2 - 50*t + 8. Let s(l) = j*k(l) + 3*n(l). Factor s(r).
-2*r*(r + 7)
Let g(n) be the first derivative of -n**7/525 - n**6/100 - n**5/75 - 12*n**2 - 22. Let z(y) be the second derivative of g(y). Factor z(v).
-2*v**2*(v + 1)*(v + 2)/5
Factor 2*b**2 - 5*b**2 - 16 - 2*b**2 + 3*b**2 - 12*b.
-2*(b + 2)*(b + 4)
Let f(g) be the second derivative of g**7/14 - 3*g**6/10 - 9*g**5/20 + 7*g**4/4 + 3*g**3 + 209*g. Factor f(l).
3*l*(l - 3)*(l - 2)*(l + 1)**2
Suppose 185*s - 9*s + 115 - 467 = 0. Let l be (-4)/9*(-1 - 5). Suppose 4*v + 4/3*v**s + l = 0. What is v?
-2, -1
Let o(d) = 3 + 11*d - 6 + 5*d**2 - 1 - 4. Let g(l) = -2*l**2 - 4*l + 3. Suppose -6 = 2*v + 10. Let k(w) = v*g(w) - 3*o(w). Factor k(h).
h*(h - 1)
Let z(b) = 4*b**2 + 4*b. Let p be z(-4). Suppose -3*x - 48 = -p. Solve 2/7*h**3 - 2/7*h**5 + x*h**2 + 0*h + 0*h**4 + 0 = 0 for h.
-1, 0, 1
Let p(x) = -x**3 + 26*x**2 - 32*x - 1. Let z be p(25). Let g be (z/33)/16*(-12)/2. Suppose 0 + 2/5*s - 2/5*s**g = 0. What is s?
0, 1
Let x(a) be the second derivative of -a**7/8820 - a**6/840 - 7*a**4/6 + 36*a. Let w(b) be the third derivative of x(b). Factor w(o).
-2*o*(o + 3)/7
Suppose -2*x + 3 = -n + 1, 3*n - 14 = -4*x. Factor 3*b**3 + 3*b**2 + 6*b - 8*b**2 - 4*b**x.
3*b*(b - 2)*(b - 1)
Let o(k) be the first derivative of -2*k**3/21 + 150*k**2/7 - 11250*k/7 - 7. Let o(t) = 0. What is t?
75
Let a(v) = -1. Let y(o) = -o**2 - 6*o - 3. Suppose 5*z - 7 = 8. Suppose z + 2 = 5*q. Let f(r) = q*y(r) + 6*a(r). Factor f(u).
-(u + 3)**2
Let n = -1057/37 - -14111/481. Find y, given that -8/13 - n*y**2 - 2/13*y**3 - 16/13*y = 0.
-2, -1
Suppose 4*k + 58 = 218. Find c such that 10*c - 10*c + 15 - 15*c**2 + k*c = 0.
-1/3, 3
Let z(l) be the third derivative of -1/15*l**5 + 0*l + 0*l**4 - 4*l**2 + 2/3*l**3 + 0. Factor z(n).
-4*(n - 1)*(n + 1)
Let g(h) be the third derivative of h**7/735 + 11*h**6/420 + 11*h**5/70 + 37*h**4/84 + 2*h**3/3 + 109*h**2. Find k such that g(k) = 0.
-7, -2, -1
Let b = 183 - 143. Let n be 5/4 + 30/b. Solve -3/4*x**3 - 9/4*x - 9/4*x**n - 3/4 = 0.
-1
Factor 0*i + 0*i**2 + 0 + 3/7*i**4 + 15/7*i**3.
3*i**3*(i + 5)/7
Let c(r) = -6*r**2 + 21*r + 48. Let n be c(5). Factor 2/5*h**2 + 0 - 6*h**n - 14/5*h**5 + 4/5*h + 38/5*h**4.
-2*h*(h - 1)**3*(7*h + 2)/5
Let s(a) = a**2 + 4*a + 3. Let l(d) = -2*d - 2. Let u(x) = x + 11. Let f be u(-8). Suppose 0 = -f*n - n + 8. Let y(r) = n*s(r) + 5*l(r). Factor y(c).
2*(c - 2)*(c + 1)
Let a(z) be the second derivative of z**6/840 + z**5/280 - z**4/28 + 5*z**3/2 - 11*z. Let n(x) be the second derivative of a(x). Let n(h) = 0. Calculate h.
-2, 1
Suppose 2 = -j + 4. Let g = 37 + -35. What is x in -4 + 8 - 5 - 2 + x**g - j*x = 0?
-1, 3
Let a(y) be the second derivative of -1/150*y**6 + 0*y**4 + 0 + 0*y**3 - 1/100*y**5 + 7*y + 0*y**2. What is m in a(m) = 0?
-1, 0
Let k(o) be the third derivative of -o**8/2016 - o**7/252 - o**6/90 - o**5/90 + 53*o**2. Factor k(i).
-i**2*(i + 1)*(i + 2)**2/6
Let v(j) be the third derivative of -7*j**6/900 - 3*j**5/100 - j**4/30 - 11*j**3/6 + 10*j**2. Let d(z) be the first derivative of v(z). Solve d(q) = 0 for q.
-1, -2/7
Let g(s) be the third derivative of -13*s**6/240 + s**5/8 + s**4/2 - s**3/3 + 94*s**2. Let g(o) = 0. Calculate o.
-1, 2/13, 2
Suppose 2*u - 4 = -q, -2*u = -2*q - u - 12. Let o(m) = -m**3 - 3*m**2 + 4*m + 2. Let x be o(q). Solve 2*v**2 - 2*v + v**4 + v**4 + 4*v**3 + x*v = 0.
-1, 0
Let s(r) be the third derivative of -r**6/210 - 96*r**5/35 - 4608*r**4/7 - 589824*r**3/7 + 180*r**2. Factor s(y).
-4*(y + 96)**3/7
Find n, given that 9/2*n**2 - 120 + 3/2*n**3 - 36*n = 0.
-4, 5
Let k(u) = 10*u**4 - 43*u**3 - 45*u**2 + 57*u. Let a(j) = -3*j**4 + 14*j**3 + 15*j**2 - 20*j. Let s(q) = -7*a(q) - 2*k(q). Solve s(n) = 0.
-2, 0, 1, 13
Let x(c) be the first derivative of -c**5/20 - c**4/12 + 11*c - 4. Let g(n) be the first derivative of x(n). What is 