 105*x**3 + 5.
-3*(x - 5)*(2*x - 1)**2
Let g be (13/12)/((-15)/2060). Let m = 149 + g. Solve 0*w - m*w**2 + 0 = 0 for w.
0
Suppose -4*m - x + 18 = 0, m + 3*x - 22 = -3*m. Factor -g**2 + 6*g - 5*g + 5*g - g**2 - m.
-2*(g - 2)*(g - 1)
Let a(p) be the first derivative of -p**4/12 + 2*p**3/9 + p**2/6 - 2*p/3 - 18. Suppose a(y) = 0. What is y?
-1, 1, 2
Let p be (0 + 0)/3 + 10. Let k be (p/(-4))/(1/(-4)). Suppose k*d**3 - d**2 + 0*d**2 - 6*d**4 - d**2 - 2*d**3 = 0. Calculate d.
0, 1/3, 1
Suppose 0 = -3*l + 2*l + 2. Let k(w) = 1 + 1 - 4 + 1 + 4*w**l + 3*w. Let d(r) = 3*r**2 + 2*r - 1. Let b(o) = -3*d(o) + 2*k(o). Factor b(x).
-(x - 1)*(x + 1)
Let z(p) be the second derivative of p**3 + 0*p**2 - 3/10*p**5 - 2*p + 1/4*p**4 - 1/10*p**6 + 0. Factor z(r).
-3*r*(r - 1)*(r + 1)*(r + 2)
Let j(l) be the third derivative of l**8/336 + 2*l**7/105 + l**6/20 + l**5/15 + l**4/24 + 39*l**2. Factor j(a).
a*(a + 1)**4
Let y(v) be the second derivative of v**5/80 - v**3/24 - 3*v. Solve y(z) = 0 for z.
-1, 0, 1
Let m(x) = -x**2 - 8*x - 7. Let p be m(-7). Factor p*l - 3*l**2 + 4*l - 2 - 3*l**2 + 4*l**2.
-2*(l - 1)**2
Let q(k) = 1. Let l(s) = -8*s**2 - 8 + 9*s**2 - 7*s**2. Let d(y) = -l(y) - 6*q(y). Let g(p) = -p**2 - 1. Let a(j) = -d(j) - 4*g(j). Factor a(o).
-2*(o - 1)*(o + 1)
Let x(s) be the first derivative of -2/3*s**3 - 5 + 2*s**2 + 0*s. Factor x(b).
-2*b*(b - 2)
Let f(h) be the first derivative of h**7/840 - h**6/240 + h**4/48 - h**3/24 - h**2 - 3. Let w(r) be the second derivative of f(r). Find p, given that w(p) = 0.
-1, 1
Let p be 13 - (0 - 1)/(-1). Let g(d) = -d**2 + 7*d. Let t be g(5). Let -p*r**3 - t*r**2 + 4 - r**3 - 22*r**2 - 5*r**3 - 10*r = 0. Calculate r.
-1, 2/9
Let w be (-15 - (-5 + 2)) + 2. Let k be (-13)/w - 3/6. Factor 2/5*j**2 - k + 2/5*j.
2*(j - 1)*(j + 2)/5
Let a(z) be the third derivative of 1/180*z**6 - 2*z**2 + 0 - 1/36*z**4 + 0*z + 1/90*z**5 - 1/9*z**3. Factor a(b).
2*(b - 1)*(b + 1)**2/3
Let c = -25 + 39. What is g in 90/7*g**3 + 8/7*g - c*g**5 - 8*g**2 + 0 + 8*g**4 = 0?
-1, 0, 2/7, 1
Let v(p) be the third derivative of 1/48*p**4 - 1/420*p**7 + 0*p**3 + 0*p - 1/240*p**6 + 0 + 2*p**2 + 1/120*p**5. What is n in v(n) = 0?
-1, 0, 1
Let i be (-1*(1 - 3))/(50/75). Let 0*o + 0 + 6*o**2 + 4*o**i + 2/3*o**4 = 0. What is o?
-3, 0
Suppose -4*h - 5*v - 15 = -5*h, v - 8 = -2*h. Factor -4*y**h - 243*y - 81 - 138*y**3 + 3*y**5 - 2*y**5 - 270*y**2 - 33*y**4.
-3*(y + 1)**2*(y + 3)**3
Let v(n) be the first derivative of 3*n**5/35 - 2*n**3/7 + 3*n/7 + 5. Let v(w) = 0. What is w?
-1, 1
Let i(t) be the first derivative of t**7/420 + t**6/60 + t**5/40 - t**4/12 - t**3/3 - t**2/2 + 6. Let m(f) be the second derivative of i(f). Factor m(r).
(r - 1)*(r + 1)*(r + 2)**2/2
Let s(w) = w**2 - 3*w - 13. Let z be s(6). Let h(f) = 3*f**3 - 1. Let c be h(1). What is i in 1 - z*i + 25/4*i**c = 0?
2/5
Let l = 118 + -235/2. Find b such that 0*b + l*b**2 - 1/2 = 0.
-1, 1
Let n(x) be the second derivative of x**5/20 + x**4/12 - 2*x**3/3 - 2*x**2 - 20*x. Factor n(u).
(u - 2)*(u + 1)*(u + 2)
Let b(f) be the third derivative of 0 + f**2 + 0*f + 0*f**3 + 1/12*f**4 - 1/120*f**6 + 1/60*f**5. Factor b(l).
-l*(l - 2)*(l + 1)
Suppose u - 30 = -4*u. Let p = 9 - u. Solve 1/2*y + 0 - y**2 + 1/2*y**p = 0.
0, 1
Let z(k) = k**3 - 4*k**2 + 11*k + 4. Let j(r) = 5 + r - 4*r**2 + 2*r - r**3 + 9*r + 2*r**3. Let h(y) = -6*j(y) + 7*z(y). Factor h(a).
(a - 2)*(a - 1)**2
Factor -4/5*j**2 + 2/5*j**4 + 2/5 + 0*j + 0*j**3.
2*(j - 1)**2*(j + 1)**2/5
Let h(l) = -l**3 + l**2 + 1. Let k(b) = 5*b**3 - 4 - 8*b**2 - 6*b**3 + 3*b**3. Let q(n) = 4*h(n) + k(n). Factor q(i).
-2*i**2*(i + 2)
Suppose -s + 0 + 2 = r, -10 = -5*r + 5*s. Find p, given that p**2 - 2*p**r - p + 5*p**2 + 0*p**2 = 0.
0, 1/4
Factor 0*x**2 + 4/3*x**3 + 0 + 1/6*x**4 + 0*x.
x**3*(x + 8)/6
Let x(s) = -8*s + 0 - 4 - 1 + 9*s. Let m be x(9). Suppose 2/3*r**m + 2/3*r + 0 + 2*r**3 + 2*r**2 = 0. Calculate r.
-1, 0
Let j(v) = v**3 - 4*v**2 - 5*v. Let i be j(4). Let b = -17 - i. Factor 8/7*c**5 + 40/7*c**b - 2/7 + 0*c + 20/7*c**2 + 30/7*c**4.
2*(c + 1)**4*(4*c - 1)/7
Let y be (-7 + 114/18)*1*-3. Factor 27/2*d - 24*d**y - 9*d**4 - 3 + 3/2*d**5 + 21*d**3.
3*(d - 2)*(d - 1)**4/2
Let k(z) be the third derivative of 0 - 13/40*z**6 + 3/70*z**7 + 0*z**3 + 4/5*z**5 + 0*z - 1/2*z**4 - 2*z**2. Factor k(o).
3*o*(o - 2)**2*(3*o - 1)
Let f(l) = l**3 + l**2 - l - 2. Let x be f(-2). Let q = 4 + x. Determine w so that 10/3*w**4 + 1/3*w**3 + q*w - 2/3*w**2 + 0 = 0.
-1/2, 0, 2/5
Let a(b) be the second derivative of b**9/12096 - b**8/6720 + 5*b**3/6 - 7*b. Let d(c) be the second derivative of a(c). Factor d(x).
x**4*(x - 1)/4
Suppose 3*i = 5*s - 7*s + 4, 5*i = -5*s + 10. Factor 2/3 + 4/3*m + 2/3*m**s.
2*(m + 1)**2/3
Solve 0 + 2/3*f**5 - 4*f**3 - 2*f - 16/3*f**2 + 0*f**4 = 0 for f.
-1, 0, 3
Suppose -6/5*b**3 + 2/3*b**2 - 4/15*b**4 + 0 + 0*b = 0. What is b?
-5, 0, 1/2
Factor -2/5*m**2 + 8/5*m - 8/5.
-2*(m - 2)**2/5
Let c(a) be the first derivative of 0*a + 13/3*a**3 + 11/4*a**4 + a**2 - 1. Factor c(f).
f*(f + 1)*(11*f + 2)
Let z(x) = -35*x**3 + 212*x**2 - 115*x - 56. Let k(p) = -315*p**3 + 1910*p**2 - 1035*p - 505. Let g(s) = 6*k(s) - 55*z(s). Factor g(j).
5*(j - 5)*(j - 1)*(7*j + 2)
Let f(g) = -2*g**3 + g**2 - 6*g + 2. Let t(j) = -j**3 + 3*j - 1 - j**2 + 2*j**3 - 2*j**2 + 2*j**2. Let b(s) = 2*f(s) + 5*t(s). Factor b(a).
(a - 1)**3
Let z = -21 - 0. Let h be (z/(-28))/((-6)/(-4)). Determine w so that w**3 + h*w**4 + 1/2*w**2 + 0*w + 0 = 0.
-1, 0
Let p = 83 - 81. Solve 4/7*z**p - 4/7 - 10/7*z + 10/7*z**3 = 0.
-1, -2/5, 1
Let b be (1 + 0)/((-6)/(-12)). Let f(i) be the third derivative of 1/48*i**4 + 1/840*i**7 - 1/240*i**6 - 1/240*i**5 + 0*i + 0 - i**b + 0*i**3. Factor f(w).
w*(w - 2)*(w - 1)*(w + 1)/4
Determine y, given that 75 + y**2 - 71 + 8*y - 4*y = 0.
-2
Let l(h) be the third derivative of -h**7/1260 + h**6/720 + h**5/180 + 23*h**2. What is g in l(g) = 0?
-1, 0, 2
Let i(b) be the first derivative of -b**5/15 - b**4/6 + b**3/9 + b**2/3 - 24. Let i(j) = 0. What is j?
-2, -1, 0, 1
Let b(q) be the third derivative of 0 - q**2 - 1/120*q**6 + 1/24*q**4 + 0*q - 1/60*q**5 + 1/210*q**7 + 0*q**3. Factor b(j).
j*(j - 1)**2*(j + 1)
Let c(j) = 3*j. Let n be c(2). Suppose y - 5 = -2*z, -2*z - 11 = -n*z - y. Factor -2*f**3 + 5*f**z + 8*f**5 + 3*f**2 - 11*f**5 - 3*f**4.
-3*f**2*(f - 1)*(f + 1)**2
Let y be ((-42)/9)/(365/(-315) + 1). What is c in -y*c**2 + 84/5*c - 12/5 = 0?
2/7
Let j(f) be the third derivative of 0 - 1/12*f**4 + 0*f + 2*f**2 - 1/6*f**3 - 1/60*f**5. Factor j(y).
-(y + 1)**2
Suppose -11*q = -12*q. Let d(z) be the first derivative of q*z + 1/10*z**4 + 0*z**2 - 1/25*z**5 + 1 - 1/15*z**3. Determine h so that d(h) = 0.
0, 1
Let s(t) be the third derivative of -t**7/42 - t**6/6 + 11*t**5/12 - 5*t**4/4 - 17*t**2 + 2*t. Factor s(g).
-5*g*(g - 1)**2*(g + 6)
Let r(v) be the second derivative of -3*v + 0 - 1/8*v**4 + 3/4*v**2 + 0*v**3. Factor r(u).
-3*(u - 1)*(u + 1)/2
Let s(o) be the third derivative of -25*o**8/112 + o**7/14 + 2*o**6/5 + o**5/5 + 23*o**2. Factor s(y).
-3*y**2*(y - 1)*(5*y + 2)**2
Suppose -12*x + 9*x = 0. Suppose x = -0*i + 2*i - 4*d + 8, -4*d + 36 = 5*i. Let -5*j**4 + 4*j**i + j**2 - 3*j**2 + 3*j**4 = 0. Calculate j.
-1, 0, 1
Factor -8/5*o - 2/5*o**3 + 0 - 8/5*o**2.
-2*o*(o + 2)**2/5
Let h(k) = 10*k - 1. Let b be h(1). Let m be 4/28*b - 1. Let 8/7*p + 2/7 + 8/7*p**3 + m*p**4 + 12/7*p**2 = 0. Calculate p.
-1
Let j(z) = 0 + 5 + 0 - z**2. Let r(v) = 1. Let k(p) = 3*j(p) - 12*r(p). Factor k(l).
-3*(l - 1)*(l + 1)
Let c be (3 - -1)*(-11)/(-22). Let h(l) be the third derivative of 1/300*l**6 + 0*l**3 + 2*l**c + 0*l + 0 + 1/75*l**5 + 1/60*l**4. Factor h(z).
2*z*(z + 1)**2/5
Suppose 0 = 4*x - 8, 3 = 3*g - x - 1. Solve 2 - 3*j**2 - 2*j**2 + 4*j + 8*j**g - j**2 = 0 for j.
-1
Let n be 30/198 - (-2)/11. Let 0 - 2/3*d + n*d**2 = 0. Calculate d.
0, 2
Let p be 1 - -5 - (13 - 11). Find k, given that 0*k - 2/3*k**3 + 2/3*k**p + 0 + 0*k**2 = 0.
0, 1
Suppose -6 = -3*h + 9. Factor 0*b**3 - 6*b**4 - b**h - b**5 - 6*b**3 - 2*b**2.
-2*b**2*(b + 1)**3
Let k(t) = t**2 + 7*t + 4. Let y be k(-7). Let l be y/1 + -3 - -2. Suppose -g**l - 16*g**3 + 3*g**3 - 6*g**2 + 27*g**4 - 7*g**3 = 0. What is g?
-2/9, 0, 1
Let f(z) be the second derivative of -z**4/36 - z**3/9 + 5*z. Let f(g) = 0. What i