 Let s be u(6). Factor 4*x**2 + 2 - 2 + 10*x**s + 4*x.
2*x*(7*x + 2)
Let w be 4 + 0 + -15*(-20)/(-84). Let -9/7*x - w - 3/7*x**3 - 9/7*x**2 = 0. Calculate x.
-1
Factor 14*n**2 + 5*n + n - 11*n**2 - 6*n**3 - 3*n**4.
-3*n*(n - 1)*(n + 1)*(n + 2)
Let m(d) be the second derivative of d**3/3 - 7*d**2/2 + 4*d. Let l be m(7). Determine j, given that -l*j**2 + 2*j - 2 + 5*j**2 - 2*j**3 + 4*j**2 = 0.
-1, 1
Let b(z) be the second derivative of -z**9/10080 - z**8/3360 - z**7/5040 + z**4/12 + 2*z. Let v(n) be the third derivative of b(n). Factor v(t).
-t**2*(t + 1)*(3*t + 1)/2
Let b(n) be the first derivative of -n**7/210 + n**6/120 + n**5/30 - 3*n**2/2 + 1. Let q(u) be the second derivative of b(u). Factor q(f).
-f**2*(f - 2)*(f + 1)
Let h(s) = 2*s**2 + 8*s - 2. Let q(f) = -f**2 + f. Let v(n) = -n**2 + 5*n - 1. Let x(w) = -2*q(w) + v(w). Let g(t) = 3*h(t) - 8*x(t). Find l such that g(l) = 0.
-1, 1
Let g(x) = -x**3 + 5*x**2 - x - 3. Let z be g(4). Factor z*n**3 - 3*n**3 - 3*n**3 + 3*n**2.
3*n**2*(n + 1)
Suppose 14/13*q**3 + 40/13*q + 46/13*q**2 + 8/13 = 0. Calculate q.
-2, -1, -2/7
Let s = 20 + -37. Let w be s/(-4) - 2/8. Factor 2*d**3 + w - 10*d**2 - 10*d**3 - 4 - 2*d.
-2*d*(d + 1)*(4*d + 1)
Let a(o) be the third derivative of 1/3*o**3 - 1/12*o**5 + 0 + 0*o - 1/8*o**4 - 4*o**2. Find w such that a(w) = 0.
-1, 2/5
Suppose 23*s - 21 = 16*s. Let j(k) be the second derivative of -3*k + 1/2*k**s + 0*k**2 + 0 + 1/4*k**4. Let j(y) = 0. What is y?
-1, 0
Let v(n) = -n**3 - n**2 - n - 1. Let y(q) = 4*q**3 + 26*q**2 + 98*q + 130. Let s(b) = -4*v(b) - 2*y(b). What is d in s(d) = 0?
-4
Let n be 1079/234 - (-1)/(-9). What is q in -15/2*q**2 - n + 3/2*q**3 + 21/2*q = 0?
1, 3
Let h be 2822/1105 + 1 + 30/(-26). Factor 9/5*q**3 - 6/5 + h*q**2 - 3*q.
3*(q - 1)*(q + 2)*(3*q + 1)/5
Suppose 0 = h - 2. Suppose v**2 - v**2 + v**h = 0. What is v?
0
Let o(j) be the second derivative of j**7/147 - 2*j**6/105 + j**4/21 - j**3/21 + 4*j. Factor o(d).
2*d*(d - 1)**3*(d + 1)/7
Let f = -77 + 79. Let n(s) be the second derivative of -3/20*s**5 + 0*s**3 + 0*s**2 + 1/4*s**4 + 0 + f*s. Factor n(u).
-3*u**2*(u - 1)
Let s(n) be the third derivative of n**6/140 - 13*n**5/210 + 4*n**4/21 - 4*n**3/21 + 7*n**2. Solve s(o) = 0 for o.
1/3, 2
Let i(q) be the second derivative of q**6/1980 + q**5/330 + q**4/132 - 5*q**3/6 + q. Let r(j) be the second derivative of i(j). Find c, given that r(c) = 0.
-1
Let c = 4 - 0. Factor 2*r + 2*r**2 - 2*r**3 - 2*r**c + 2*r**4 + 2*r**4 - 4*r**2.
2*r*(r - 1)**2*(r + 1)
Let z = -95 - -1239/13. Find r such that z - 4/13*r**2 + 6/13*r = 0.
-1/2, 2
Factor -1/5*h + 0*h**3 + 2/5*h**2 + 0 + 1/5*h**5 - 2/5*h**4.
h*(h - 1)**3*(h + 1)/5
Let h(f) be the second derivative of 0*f**3 + f + 1/70*f**5 + 0*f**2 + 0 + 0*f**4. Suppose h(l) = 0. What is l?
0
Let o be (-1)/42*(-289602)/3018. Let m = 1/1006 + o. Factor -120/7*j + m + 300/7*j**2 - 250/7*j**3.
-2*(5*j - 2)**3/7
Let a = -1567/4 - -392. Suppose -3*y = -2*d - 2*d + 13, -16 = -3*d - 4*y. Suppose -a*s**2 + 1/4*s**d + 1/4*s**3 - 1/4*s + 0 = 0. Calculate s.
-1, 0, 1
Let s = 22 + 85. Determine f so that -452*f**3 + 288*f**4 - 64*f**5 + 411*f**2 - 57*f - 27*f + 8 - s*f**2 = 0.
1/4, 1, 2
Let t(f) be the second derivative of 3*f**5/100 + 3*f**4/20 - f**3/10 - 9*f**2/10 + 40*f. Suppose t(j) = 0. Calculate j.
-3, -1, 1
Let k(c) = 4*c**4 + 6*c**3 - 11*c - 6. Let n(z) = 7*z**4 + 11*z**3 - z**2 - 22*z - 12. Let f(w) = -10*k(w) + 6*n(w). Factor f(b).
2*(b - 2)*(b + 1)**2*(b + 3)
Let q(a) be the first derivative of -a**4 + 4*a**3/3 - 9. Factor q(i).
-4*i**2*(i - 1)
Let h be ((-27)/(-6))/((-3)/(-2)). Solve -j**h + 3/2 - 1/2*j**2 + 2*j = 0 for j.
-1, 3/2
Solve 5*y + 3*y + 4*y**4 - 11*y**3 + 20*y**2 + 10*y**3 + 17*y**3 = 0 for y.
-2, -1, 0
Suppose 3*k - 25 = x, 10 = 3*x - x. Factor k*y**4 + 6*y**3 + 8*y**5 - 2*y**2 - 13*y - 4*y**5 + 11*y.
2*y*(y + 1)**3*(2*y - 1)
Let q be 18/30*-2*(-20)/16. Factor q*d**3 + 5/2*d**2 + 0 - d.
d*(d + 2)*(3*d - 1)/2
Determine c so that 20 - 184*c**2 + 60*c + c**4 + 30*c**3 + 4*c**4 + 249*c**2 = 0.
-2, -1
Let a(f) = f + 6. Suppose 4*n + 26 = -5*w, -3*n = 2*w - 0*n + 9. Let s be a(w). Solve 0*j**4 + 2/3*j**3 - 1/3*j + s*j**2 + 0 - 1/3*j**5 = 0 for j.
-1, 0, 1
Let g(x) = -x + 6. Let u be g(3). Find z such that 5*z**3 - z**2 + 8*z**5 + z**u - 9*z**4 - 4*z**5 = 0.
0, 1/4, 1
Suppose 12*p**4 - 13*p**3 + 23*p**3 + 27*p**2 - 3 + 23*p**3 + 3*p = 0. What is p?
-1, 1/4
Let a(w) be the third derivative of -w**7/70 - w**6/60 + w**5/60 + 8*w**2. Find q, given that a(q) = 0.
-1, 0, 1/3
Let v(m) = m - 1 - 5*m + 0*m**2 - m**2 - 2. Let k be v(-3). Determine a, given that -2/3*a**2 + k*a + 0 = 0.
0
Factor 3/2*i + 0 + 3/2*i**2.
3*i*(i + 1)/2
Let n(o) be the second derivative of -o**7/630 + o**6/180 - o**5/180 + 7*o**2/2 + 6*o. Let s(c) be the first derivative of n(c). Factor s(z).
-z**2*(z - 1)**2/3
Solve 2*o**2 - 4 + o - 2 + o**3 - 6*o = 0 for o.
-3, -1, 2
Factor 31/3*w**2 + 40/3*w + 4 + 7/3*w**3.
(w + 2)**2*(7*w + 3)/3
Let l be -4 - (2/5 + (-3744)/810). Find w such that -l*w - 2/9*w**2 + 4/9 = 0.
-2, 1
Let q(n) be the third derivative of n**6/180 + n**5/30 - 4*n**3/9 + 5*n**2. Factor q(u).
2*(u - 1)*(u + 2)**2/3
Let s(z) be the third derivative of 5*z**8/672 - z**7/28 + z**6/48 + z**5/8 - 5*z**4/24 + 8*z**2. Find f such that s(f) = 0.
-1, 0, 1, 2
Let p = 3 + 0. Suppose -4*n - 2 = 2*c - 20, -2*c + 4 = -3*n. Factor 0 - 1/4*j**n - 3/4*j**p + 1/2*j.
-j*(j + 1)*(3*j - 2)/4
Determine w so that 0 - 2/13*w**2 + 0*w = 0.
0
Let l(i) = i**2 - 4*i - 3. Let q be l(-2). What is x in -12*x**2 - 6*x + 0*x + 13*x**2 + q = 0?
3
Let f be 2 - (0/19)/(2*1). Factor 1/4*n**f + 1/2*n - 3/4.
(n - 1)*(n + 3)/4
Factor 2/15*i**2 + 0 + 2/15*i**5 + 2/5*i**4 + 0*i + 2/5*i**3.
2*i**2*(i + 1)**3/15
Suppose -4*m - 2 = -2*m. Let t be m/(1*1/(-4)). Determine d, given that -1 - 3 + 6 - t*d + 2*d**2 = 0.
1
Determine s, given that 64/3*s**2 + 32/9*s**3 + 512/9 + 2/9*s**4 + 512/9*s = 0.
-4
Let w(f) be the first derivative of -5*f**4/7 - 8*f**3/21 + 19. Factor w(n).
-4*n**2*(5*n + 2)/7
Let c(s) = s**2 + 9*s + 11. Let f be c(-8). Let y = 2 + f. Find w such that -3*w**2 - 2*w**3 + y*w**2 - 4*w**3 + 4*w**3 = 0.
0, 1
Let n(f) be the second derivative of -2*f**4/3 - 2*f**3/3 + 2*f**2 - 5*f. Find w such that n(w) = 0.
-1, 1/2
Let m(g) be the third derivative of -1/210*g**7 + 1/30*g**5 + 0*g - 6*g**2 + 0*g**6 - 1/6*g**3 + 0 + 0*g**4. Factor m(f).
-(f - 1)**2*(f + 1)**2
Let k be (-4)/6*3/(-10). Find o such that -1/5*o**5 - k*o**4 + 2/5*o**3 + 2/5*o**2 - 1/5*o - 1/5 = 0.
-1, 1
Let m(j) be the third derivative of -4/33*j**3 + 0 + 1/33*j**4 - 1/330*j**5 - 8*j**2 + 0*j. Find x, given that m(x) = 0.
2
Let h(v) be the second derivative of -v**7/11340 + v**5/540 + v**4/12 + 3*v. Let w(j) be the third derivative of h(j). Solve w(n) = 0 for n.
-1, 1
Suppose -5 + 17 = 2*n. Suppose -2*h + n*h + 3*m = 14, -2*h - 5*m = -14. Factor 5 - 5 - h*r**4 - 2*r**3.
-2*r**3*(r + 1)
Solve -16/9*j**2 - 2/3*j**4 - 2/9 + j + 14/9*j**3 + 1/9*j**5 = 0 for j.
1, 2
Factor -3/2*i**2 - 9/4*i - 3/4.
-3*(i + 1)*(2*i + 1)/4
Let i(f) = f**2. Let a(j) be the second derivative of -5*j**4/12 + 5*j**3/6 + j**2 - 7*j. Let u(r) = -a(r) + 2*i(r). Suppose u(o) = 0. What is o?
-2/7, 1
Factor -72*q + 48 + 12*q**3 + 3/2*q**5 + 24*q**2 - 9*q**4.
3*(q - 2)**4*(q + 2)/2
Let z(n) be the second derivative of -1/18*n**4 + 0 + 1/9*n**3 - 3*n - 1/30*n**5 + 1/45*n**6 + 0*n**2. Factor z(y).
2*y*(y - 1)**2*(y + 1)/3
Let a(r) be the third derivative of 3*r**8/112 + 2*r**7/35 - r**6/24 - r**5/5 - r**4/6 + 2*r**2. Factor a(d).
d*(d - 1)*(d + 1)*(3*d + 2)**2
Factor 2/3*j**3 + 0*j + 2*j**2 - 8/3.
2*(j - 1)*(j + 2)**2/3
Let l(b) be the second derivative of -27/80*b**5 + 1/24*b**6 + 0 - 3/2*b**3 + 25/24*b**4 + 3*b + b**2. Factor l(o).
(o - 2)**2*(o - 1)*(5*o - 2)/4
Let v be -1*(0 + 0)/(-4 + 5). Let f(q) be the second derivative of 1/28*q**7 + 1/40*q**5 + 1/12*q**6 + v*q**3 + 0 - 1/24*q**4 + 0*q**2 - 3*q. Factor f(j).
j**2*(j + 1)**2*(3*j - 1)/2
Let q = -8 - -14. Let t(x) be the third derivative of -2*x**2 + 1/60*x**5 + 0*x**3 + 1/210*x**7 + 1/60*x**q + 0*x + 0 + 0*x**4. Factor t(b).
b**2*(b + 1)**2
Factor -6*h**2 + 16*h**2 + 5*h**4 + 7 - 15*h**3 - 7.
5*h**2*(h - 2)*(h - 1)
Let h(g) = -g - 2. Let u = -17 - -12. Let r be h(u). Determine n so tha