+ 5*h + 6. Let s be 4 + h/(-10) + -4. Factor 0*o**2 - 6/5*o - s + 3/5*o**4 + 6/5*o**3.
3*(o - 1)*(o + 1)**3/5
Let b(v) be the second derivative of -1/3*v**3 + 0 - 3*v + 0*v**2 - 1/3*v**4 - 1/10*v**5. Factor b(t).
-2*t*(t + 1)**2
Let m(f) = -25*f**5 + 90*f**3 + 40*f**2 - 65*f - 40. Let i(t) = -2*t**5 + 7*t**3 + 3*t**2 - 5*t - 3. Let q(r) = 40*i(r) - 3*m(r). Determine h so that q(h) = 0.
-1, 0, 1
Suppose -2*q + 3*q - 6 = 0. Suppose 2*u - d + 6*d + q = 0, 4 = -2*d. Factor -6/5*n - 4/5 - 2/5*n**u.
-2*(n + 1)*(n + 2)/5
Suppose 31 - 4*b**3 + 49 - 56 + 28*b = 0. What is b?
-2, -1, 3
Let b(g) = -4*g**2 + 29*g - 9. Let d(f) = -f**2 + 6*f - 2. Let v(o) = -2*b(o) + 11*d(o). Suppose v(j) = 0. What is j?
2/3, 2
Suppose 78 = 16*x + 23*x. Suppose -1/3*f**x + 0*f + 0 = 0. Calculate f.
0
Let v = 68/5 + -66/5. Let t be 6/5*(-2 - -3). Find r such that -t*r - v - 2/5*r**3 - 6/5*r**2 = 0.
-1
Let h(t) be the second derivative of 1/2*t**2 + 0 + 1/12*t**4 - 5/9*t**3 + 3*t. Factor h(m).
(m - 3)*(3*m - 1)/3
Let m be ((-6)/(-3))/(4/(8/1)). Let y(d) be the third derivative of 0 - 1/12*d**m - 4*d**2 - 1/120*d**6 + 1/20*d**5 + 0*d**3 + 0*d. Factor y(h).
-h*(h - 2)*(h - 1)
Let t(d) be the first derivative of 2*d + 0*d**2 - 5 - 1/2*d**3 + 1/8*d**4. Factor t(m).
(m - 2)**2*(m + 1)/2
Let a(x) be the second derivative of 5*x**5/8 + 15*x**4/8 + 9*x**3/4 + x**2/2 + 2*x. Let l(o) be the first derivative of a(o). Factor l(g).
3*(5*g + 3)**2/2
Let y(c) be the second derivative of c**5/16 - 5*c**4/6 + 10*c**3/3 + 23*c. Determine j, given that y(j) = 0.
0, 4
Let d be -3 - (-1 - (-7)/(-2)). Factor 1/2*b**5 + b**2 - d*b + 1/2 - 3/2*b**4 + b**3.
(b - 1)**4*(b + 1)/2
Let k(b) be the second derivative of -b**5/20 + 2*b**4/3 - 5*b**3/6 - 25*b**2 + 35*b. Factor k(o).
-(o - 5)**2*(o + 2)
Suppose -5*o = 5*k - 125, -35 = -5*o + 4*o - 3*k. Suppose o = 4*p - 3*j, -3*j - 4 = 4*p - 0. Factor 2*s**p + 4 - 1 - 5.
2*(s - 1)*(s + 1)
Let t(v) be the first derivative of -v**5/90 + v**4/18 - 5*v**2/2 + 7. Let u(k) be the second derivative of t(k). Factor u(j).
-2*j*(j - 2)/3
Let q(w) = w**2 - 2*w - 48. Let d be q(-6). Let 2/3*k**3 - 2/3*k + d + 0*k**2 = 0. What is k?
-1, 0, 1
Let l be ((-1)/3)/(33/(-23202)). Let t = l - 234. Factor -2/11*r**2 - 2/11 - t*r.
-2*(r + 1)**2/11
Suppose -5*g = -2 + 12. Let p be ((-4)/g)/(-2 - -14). Factor -3/2 - p*u**2 - u.
-(u + 3)**2/6
Factor 3*q - 7/3*q**2 - 2/3.
-(q - 1)*(7*q - 2)/3
Let w(p) be the first derivative of 2*p**5/45 - p**4/18 - 8*p**3/27 + 4*p**2/9 + 69. What is z in w(z) = 0?
-2, 0, 1, 2
Let p(z) be the third derivative of z**5/80 + z**4/16 + 7*z**2. Factor p(f).
3*f*(f + 2)/4
Let r be 2/12 - (-31)/14. Let v = r + -12/7. Suppose -v - 4/3*g - 2/3*g**2 = 0. Calculate g.
-1
Let o(d) be the third derivative of d**6/24 - d**5/6 + 5*d**4/24 - 37*d**2. Factor o(h).
5*h*(h - 1)**2
Factor 0 - 1/3*z**4 + z**2 + 2/3*z + 0*z**3.
-z*(z - 2)*(z + 1)**2/3
Let j be 43 + -42 + 6/(-10). Let -j*s**2 - 2/5 - 4/5*s = 0. Calculate s.
-1
Let u(j) be the second derivative of j**5/40 + 5*j**4/18 + 13*j**3/12 + 3*j**2/2 + 3*j. Let u(w) = 0. Calculate w.
-3, -2/3
Let g(s) be the first derivative of -1/2*s**2 + 1/3*s**3 - 1/5*s**5 + 0*s + 1/4*s**4 - 2. Solve g(b) = 0.
-1, 0, 1
Let o be (40/(-12) - -1) + 3. Let n(h) be the first derivative of 0*h - 1/2*h**4 - 3 + 0*h**2 + 1/10*h**5 + o*h**3. Factor n(l).
l**2*(l - 2)**2/2
Let -2 - 81/4*i**4 + 39/2*i**2 - 5*i + 9/4*i**3 = 0. Calculate i.
-1, -2/9, 2/3
Factor -4/3 - 14/3*s - 2*s**3 - 16/3*s**2.
-2*(s + 1)**2*(3*s + 2)/3
Let v = -14 + 29. Let f = v + -12. Factor 0*b**2 + 0*b + 2/5*b**4 + 0*b**f + 0 + 2/5*b**5.
2*b**4*(b + 1)/5
Let f(j) = j**2 - 9*j - 8. Let y be f(10). Solve -8/3*r - 2/3*r**y - 8/3 = 0.
-2
Factor -22/5*y - 18/5*y**2 - 4/5.
-2*(y + 1)*(9*y + 2)/5
Suppose 2*f + z - 9 = 0, -5*f + 0*z = z - 24. Find j such that -19*j**f - 3*j**3 + 4*j + 8*j**2 - 34*j**4 - 22*j**3 - 10*j**4 + 4*j**5 = 0.
-2, -1, -1/3, 0, 2/5
Let r(q) be the second derivative of -243*q**5/100 + 9*q**4/5 - 2*q**3/5 + 30*q. What is u in r(u) = 0?
0, 2/9
Let l = -271 - -814/3. Factor -1/3*q**4 - 2/3*q**2 - 5/3*q + 1 - l*q**5 + 2*q**3.
-(q - 1)**3*(q + 1)*(q + 3)/3
Let x(w) be the third derivative of 0*w**3 + 1/270*w**5 + 1/945*w**7 + 0*w**4 + 0 - 1/270*w**6 + 0*w + 3*w**2. Let x(u) = 0. Calculate u.
0, 1
Let q(b) = -b**2 - b. Let g(o) = o**4 + 4*o**3 + 4*o**2 - 2*o - 3. Let v(j) = -3*g(j) - 6*q(j). Find d, given that v(d) = 0.
-3, -1, 1
Let w(b) be the second derivative of 0 + 0*b**2 + 0*b**4 + 1/20*b**5 + 0*b**3 + 4*b. Let w(r) = 0. What is r?
0
Let j(u) be the second derivative of -u**7/84 + 2*u**6/45 - 7*u**5/120 + u**4/36 - 10*u. Factor j(b).
-b**2*(b - 1)**2*(3*b - 2)/6
Factor -1/2*r**2 + 2/3*r**3 - 1/6*r**4 + 0 + 0*r.
-r**2*(r - 3)*(r - 1)/6
Let h(m) be the first derivative of -m**8/1680 + m**6/180 - m**4/24 + 2*m**3/3 + 1. Let f(o) be the third derivative of h(o). Suppose f(n) = 0. Calculate n.
-1, 1
Let a(h) = -h**3 - 5*h**2 + 2. Let n be a(-5). Suppose -2 - 2 = -n*v. Factor -6*f**v + 5*f**2 - 1 - 2*f + 0*f**2.
-(f + 1)**2
Let p be (-7)/5 + 1*2. Let i = -12 - -14. Find j, given that -1/5*j**3 + 3/5*j**i + 1/5 - p*j = 0.
1
Solve -5*o**2 - 22*o - 13*o - 30 + o**2 - o**2 = 0.
-6, -1
Let c = -21/11 + 85/33. Factor -2 + 8/3*b - c*b**2.
-2*(b - 3)*(b - 1)/3
Determine a so that -16*a**4 + 12*a**3 + 9*a**2 - 10*a - 6*a + 4*a**5 + 7*a**2 = 0.
-1, 0, 1, 2
Let c(x) be the second derivative of x**9/9072 - x**3/3 + x. Let u(a) be the second derivative of c(a). Factor u(v).
v**5/3
Let g(r) = 5*r**2 + 4*r - 4. Let n(i) = i**2 + i + 3. Let x be n(-3). Let v(t) = -11*t**2 - 9*t + 9. Let f(k) = x*g(k) + 4*v(k). Factor f(j).
j**2
Let k(d) be the third derivative of -d**6/40 - d**5/10 - d**4/8 - 18*d**2. Factor k(i).
-3*i*(i + 1)**2
Let u(h) be the first derivative of 2*h**6 + 44*h**5/5 + 15*h**4 + 12*h**3 + 4*h**2 + 4. Solve u(w) = 0 for w.
-1, -2/3, 0
What is a in -a**2 + 0 + 2/3*a - 5/3*a**3 = 0?
-1, 0, 2/5
Factor 2/3*k + 5/3*k**2 + 0.
k*(5*k + 2)/3
Let i(q) be the second derivative of -q**7/126 - 2*q**6/45 - q**5/15 + q**4/18 + 5*q**3/18 + q**2/3 + 6*q + 3. What is g in i(g) = 0?
-2, -1, 1
Let b(o) be the second derivative of o**6/75 - o**5/25 - o**4/10 + 4*o**3/15 + 4*o**2/5 - 4*o. Factor b(r).
2*(r - 2)**2*(r + 1)**2/5
Let d(m) be the first derivative of -2*m**5/85 - 3*m**4/34 + 4*m**2/17 + 14. Find g, given that d(g) = 0.
-2, 0, 1
Let h(i) = 0 + 0*i**3 - 1 + 2*i**3 - 2*i - 3*i**3. Let d be h(-1). Suppose -2/3*t**5 + 0 + 0*t**d + 4/3*t**3 - 2/3*t + 0*t**4 = 0. What is t?
-1, 0, 1
Suppose -m + 0*l = l - 6, 24 = 3*m + 5*l. Let u(b) be the first derivative of -2/3*b**m + b**2 + 0*b + 2/5*b**5 - 1/2*b**4 - 1. Factor u(x).
2*x*(x - 1)**2*(x + 1)
Let p be 12/40*8/42. Let g(z) be the first derivative of -4/21*z**3 - 1 + 0*z**2 + 0*z**4 + 2/7*z + p*z**5. Factor g(j).
2*(j - 1)**2*(j + 1)**2/7
Let j(f) be the third derivative of -3/70*f**7 - 6*f**2 + 0*f**4 - 3/40*f**6 + 0*f + 0 - 1/20*f**5 - 1/112*f**8 + 0*f**3. Solve j(i) = 0.
-1, 0
Let q = 63 - 63. Factor -1/3*y**2 + 0 + q*y - y**3.
-y**2*(3*y + 1)/3
Let s(g) = -19*g**3 - 12*g**2 + 7*g + 11. Let u(c) = 7*c**3 - 6*c**3 + 2*c**3 - 4*c - 6 + 7*c**3 + 6*c**2. Let f(h) = 6*s(h) + 11*u(h). Factor f(q).
-2*q*(q + 1)*(2*q + 1)
Let n(u) be the second derivative of 0*u**2 + 0*u**5 + 1/2*u**4 + 0 - 11*u - 1/15*u**6 - 2/3*u**3. Factor n(a).
-2*a*(a - 1)**2*(a + 2)
Let m = -1160 - -92801/80. Let v(s) be the third derivative of 0 + 0*s**5 + 0*s - 3/16*s**4 + m*s**6 + s**2 - 1/2*s**3. What is j in v(j) = 0?
-1, 2
Let t(c) be the first derivative of c**6/3 + 6*c**5/5 - c**4 - 4*c**3 + c**2 + 6*c - 67. Determine g, given that t(g) = 0.
-3, -1, 1
Let z be (8/(-12))/(1/54). Let t be 1 - 3 - z/14. Determine r, given that t*r - 2/7*r**2 - 2/7 = 0.
1
Suppose 2*l - 5*l = -6. Factor 1 + f**2 - 3 + f**2 - 4*f - 4*f**l.
-2*(f + 1)**2
Let d = -7 + 14. Suppose 3*n - d*n = -64. Solve n*g + 2 + 51*g**4 + 300*g**3 - 2 - 301*g**4 - 120*g**2 = 0 for g.
0, 2/5
Let k(o) be the second derivative of o**4/12 + o**3/6 - 11*o. Factor k(z).
z*(z + 1)
Let k(c) = -7*c**3 - 148*c**2 - 1502*c - 5002. Let y(n) = 36*n**3 + 739*n**2 + 7511*n + 25011. Let l(x) = 11*k(x) + 2*y(x). Factor l(s).
-5*(s + 10)**3
Let s(q) = q**3 - 13*q**2 - 9*q. Let d(f) = 7*f**3 - 77*f**2 - 53*