 - 2)**2*(5*x + 2)**2/6
Let i(y) be the second derivative of y**7/42 - y**5/20 - 7*y. Solve i(b) = 0 for b.
-1, 0, 1
Let p(o) = 32*o - 317. Let z be p(10). Factor 4/5*s - 1/5*s**z - 4/5 + 1/5*s**2.
-(s - 2)*(s - 1)*(s + 2)/5
Let j(d) = -1. Let p(n) = 0*n + 6 - 4 - n**2 - 2*n + 3. Let b be -3*(-10)/6 + 1. Let t(z) = b*j(z) + p(z). Factor t(o).
-(o + 1)**2
Let v(p) be the first derivative of -p**5/60 + p**4/24 - 3*p**2/2 + 1. Let x(r) be the second derivative of v(r). Determine n so that x(n) = 0.
0, 1
Suppose 3*l - 6*m = -9*m + 12, -5*m - 7 = -4*l. What is h in -1/4*h**l + 1/4*h**4 + 0 + 1/4*h - 1/4*h**2 = 0?
-1, 0, 1
Let u(k) = -k**2 + 11*k - 7. Let a be u(10). Suppose p = a*p. Let p + 0*r + 2/7*r**3 + 0*r**2 = 0. What is r?
0
Find z such that 9*z + 12 - 41*z**2 + 3*z**3 + 15*z + 56*z**2 = 0.
-2, -1
Let t(n) = -2*n**3 + n**2 - 3*n + 3. Suppose -5 = 4*s - 13. Let q(z) = z**3 + z - 1. Let f(w) = s*t(w) + 6*q(w). Determine l, given that f(l) = 0.
-1, 0
Let n = -20 - -24. Let d(i) be the second derivative of 0*i**3 - 4*i + 0*i**n + 1/252*i**7 + 1/120*i**5 + 0*i**2 - 1/90*i**6 + 0. Factor d(l).
l**3*(l - 1)**2/6
Let 2/5*r**2 + 2/5*r - 4/5 = 0. What is r?
-2, 1
Suppose 1 + 7 = 4*z. Let -z*f - 2*f**2 + 4*f**2 - 3*f**2 = 0. What is f?
-2, 0
Let h(o) be the first derivative of o**5/10 - o**4/8 - 38. Let h(y) = 0. What is y?
0, 1
Let w(y) = -4*y**2 + 8*y - 8. Let p(m) = -1. Let o(s) = 4*p(s) - w(s). Suppose o(r) = 0. What is r?
1
Let a(y) = 128*y**2 + 64*y + 13. Let b(p) = -704*p**2 - 352*p - 72. Suppose q - 6*q = 140. Let l(t) = q*a(t) - 5*b(t). Factor l(j).
-4*(4*j + 1)**2
Factor 2*v**2 - 2*v - 2*v**2 + 2*v**2.
2*v*(v - 1)
Let p(f) be the third derivative of f**7/525 + f**6/300 - f**5/50 - f**4/60 + 2*f**3/15 + 7*f**2. Factor p(w).
2*(w - 1)**2*(w + 1)*(w + 2)/5
Let b be -5 + -2 + 3 - (-9 + 1). Let o(z) be the first derivative of 0*z**2 + 1/2*z**5 - 1/6*z**3 + 1/4*z**6 + 1/8*z**b - 2 + 0*z. Let o(u) = 0. Calculate u.
-1, 0, 1/3
Determine g so that g**4 + 2*g**4 - 26*g**2 + 23*g**2 + 3*g**5 - 3*g**3 = 0.
-1, 0, 1
Factor -6/5*i - 4/5 - 2/5*i**2.
-2*(i + 1)*(i + 2)/5
Suppose -4*n + 11 = -1. Suppose 4*v = 2*v - x + 4, n*v + 4 = -4*x. Find u such that 4*u**v + 12*u - 8*u**2 - u**3 - 2 - 4*u**2 - u = 0.
-2, 1/4, 1
Let x(j) be the third derivative of j**8/36 + 2*j**7/35 + j**6/45 + 14*j**2 + j. Factor x(r).
4*r**3*(r + 1)*(7*r + 2)/3
Let j(x) = x**2 - 7. Let u be j(6). Let o = u + -57/2. Suppose -1/2*d**2 + 0 + o*d = 0. What is d?
0, 1
Let d(t) be the second derivative of -t**6/210 + 3*t**5/35 - 23*t**4/42 + 10*t**3/7 - 25*t**2/14 + 34*t. Solve d(r) = 0.
1, 5
Let s be (-1010)/(-28) + -7 + 75/10. Let g be (-3)/(-14)*8/3. Factor 38/7*c + 96/7*c**5 - s*c**4 + 272/7*c**3 - g - 144/7*c**2.
2*(2*c - 1)**4*(3*c - 2)/7
Let h(q) = 3*q**3 + q**2 - 2*q. Let y be h(1). Factor 16/7*w**2 - 6/7*w**3 - y*w + 4/7.
-2*(w - 1)**2*(3*w - 2)/7
Let o(a) = 5*a**4 + 2*a**3 - 12*a**2 + 7. Let p(u) = -135*u**4 - 55*u**3 + 325*u**2 - 190. Let j(k) = -55*o(k) - 2*p(k). Factor j(h).
-5*(h - 1)**2*(h + 1)**2
Let x be (-304)/(-532) + (-48)/(-14). Factor 0*j**x + 2/5*j**5 + 0 + 0*j**2 + 0*j - 2/5*j**3.
2*j**3*(j - 1)*(j + 1)/5
Let w(n) = 11*n**3 - 12*n**2. Let j(s) be the second derivative of s**5/4 - s**4/2 + s. Let u(f) = -5*j(f) + 2*w(f). Determine a, given that u(a) = 0.
0, 2
Suppose 3*p - 29 = 4*k, -4*p = -0*k - 5*k - 37. Factor 195*q**3 - 1 + 4*q + q**2 - 3*q - 196*q**p.
-(q - 1)**2*(q + 1)
Let x(z) be the third derivative of -z**6/420 - z**5/70 - z**4/28 - z**3/21 - 2*z**2. Factor x(k).
-2*(k + 1)**3/7
Factor 0 + 3/7*h**2 - 9/7*h.
3*h*(h - 3)/7
Let a = -3176/35 - -468/5. Let j be 66/14 + (-4)/(-14). Let a*q**3 - 10/7*q + 4/7*q**4 + 4/7 - 10/7*q**j - 8/7*q**2 = 0. Calculate q.
-1, 2/5, 1
Let r = -3954/7 + 566. Factor 8/7 + 2/7*j**2 - r*j.
2*(j - 2)**2/7
Let b(n) be the second derivative of 0 - 1/110*n**5 - 4/33*n**3 + n + 0*n**2 - 2/33*n**4. Factor b(r).
-2*r*(r + 2)**2/11
Let f(y) be the third derivative of 0*y + 2/3*y**3 + 0 - 5*y**2 - 1/15*y**5 + 0*y**4. Let f(t) = 0. What is t?
-1, 1
Let i = 4 - 0. Let b = 3 + -1. Factor -b*z**3 - z**4 - z**3 - 4 + 5*z**3 - i*z + 3*z**2.
-(z - 2)**2*(z + 1)**2
Let x be ((-4)/(-10))/(60/50). Let n(w) be the second derivative of 4/3*w**3 - x*w**4 + 0 - w + 1/30*w**5 - 8/3*w**2. What is y in n(y) = 0?
2
Let f(g) be the second derivative of g**6/15 - 3*g**5/20 - g**4/12 + g**3/2 - g**2/2 + 4*g. Factor f(n).
(n - 1)**2*(n + 1)*(2*n - 1)
Let y(j) be the first derivative of -3*j**4/32 - j**3/2 - 3*j**2/4 + 1. Determine z, given that y(z) = 0.
-2, 0
Solve 0 + z**2 + 1/3*z**3 + 2/3*z = 0.
-2, -1, 0
Let d(h) be the first derivative of -2*h**3/7 + 5*h**2/7 - 4*h/7 - 5. Factor d(y).
-2*(y - 1)*(3*y - 2)/7
Let j = 401/160 + -1/160. Solve -8*y - j*y**2 - 2 + 7/2*y**3 = 0.
-1, -2/7, 2
Let s(l) = -l**2 + 21*l + 11. Let w(u) = -4*u**2 + 104*u + 56. Let b(v) = 24*s(v) - 5*w(v). Solve b(d) = 0.
-2
Let a(w) = -w**2 + 5*w - 4. Let s be a(3). Let i = -8 + 12. Factor 2 - o**s + i - 3*o + o**2 - 3*o**2.
-3*(o - 1)*(o + 2)
Suppose -12/7*g**2 - 2/7*g**3 - 16/7 - 24/7*g = 0. What is g?
-2
Let m(y) be the second derivative of y**6/90 + y**5/15 + y**4/12 - 2*y**3/9 - 2*y**2/3 - 5*y. Let m(u) = 0. Calculate u.
-2, -1, 1
Factor 10/3*k**2 + 2 + 2/3*k**3 + 14/3*k.
2*(k + 1)**2*(k + 3)/3
Let k(l) be the second derivative of -l**3 - 2*l**2 - l - 1/6*l**4 + 0. Let k(g) = 0. What is g?
-2, -1
Let g(h) be the first derivative of h**6/600 + h**5/300 - h**2/2 + 3. Let m(u) be the second derivative of g(u). Suppose m(b) = 0. What is b?
-1, 0
Factor 0*y - 2/7 + 2/7*y**2.
2*(y - 1)*(y + 1)/7
Factor 1/2*y**3 + 0*y + 0 - 1/4*y**2 - 1/4*y**4.
-y**2*(y - 1)**2/4
Let w = -230 + 4832/21. Let b(y) be the first derivative of w*y**3 - 1/7*y**2 + 0*y + 2. What is n in b(n) = 0?
0, 1
Let g be 0 + -3 + 3 + 3. Suppose 11 = 4*p + g. Solve 0 + 2/7*b - 2/7*b**p = 0.
0, 1
Let y(r) be the second derivative of 0*r**2 - 6*r + 0 + 0*r**3 - 1/20*r**6 + 1/8*r**4 - 1/28*r**7 + 3/40*r**5. Let y(s) = 0. Calculate s.
-1, 0, 1
Suppose 1 = 4*i - 15. Let f(w) be the first derivative of -1 + 1/5*w**5 + 0*w + 2/15*w**3 + 7/20*w**i + 0*w**2. Factor f(b).
b**2*(b + 1)*(5*b + 2)/5
Let i(m) = 9*m**2 - 93*m - 129. Let a(d) = -2*d**2 + 23*d + 32. Suppose -2*o = 5*o + 35. Let q(j) = o*i(j) - 21*a(j). Factor q(h).
-3*(h + 3)**2
Let w(i) be the third derivative of -i**6/360 - i**5/120 + i**3/6 - 5*i**2. Let b(f) be the first derivative of w(f). Factor b(t).
-t*(t + 1)
Find p, given that -3/4*p**2 - 1/2*p + 1/4*p**4 + 0 + 0*p**3 = 0.
-1, 0, 2
Factor 4*y + 41*y**2 - 3 - 44*y**2 + y + y.
-3*(y - 1)**2
Let s(f) = -6*f**3 + 15*f**2 - 18*f - 3. Let u(p) = 7*p**3 - 15*p**2 + 18*p + 4. Let d(l) = 4*s(l) + 3*u(l). Factor d(i).
-3*i*(i - 3)*(i - 2)
Determine t so that 4/9*t**2 - 2/9*t - 4/9 + 2/9*t**3 = 0.
-2, -1, 1
Factor 0*d + d**2 + 0 + 5/4*d**4 - 2*d**3 - 1/4*d**5.
-d**2*(d - 2)**2*(d - 1)/4
Let g be 1 - (-1 + 3 - (-10)/(-10)). Let w(y) be the second derivative of -1/30*y**4 + 0*y**3 - 3*y + g*y**2 + 0. Factor w(n).
-2*n**2/5
Let z(d) = d. Let t(v) = -v - 2. Let u be t(-6). Let f(y) = -11*y + 7*y**3 + 5*y**2 - 3*y**3 - u*y**2. Let b(c) = -2*f(c) - 22*z(c). Factor b(q).
-2*q**2*(4*q + 1)
Suppose 6*r - 24 = 2*r. Factor 19 - 17 - r*v**2 + 2*v**2 + 2*v**4.
2*(v - 1)**2*(v + 1)**2
Let t(q) = -9*q**4 + 2*q**3 + 92*q**2 - 88*q + 25. Let z(f) = -3*f**4 + f**3 + 31*f**2 - 29*f + 8. Let s(m) = -4*t(m) + 11*z(m). Factor s(g).
3*(g - 1)**3*(g + 4)
Let l be -2 + (610/(-48))/(-5). Let f = l + -1/24. Let g + 1/2*g**2 + f = 0. What is g?
-1
Let x = 7 - 3. Let l be 1/x*32/6. Factor 8/3*u + l + 7/3*u**3 - 19/3*u**2.
(u - 2)*(u - 1)*(7*u + 2)/3
Let b be (-1)/(-2) - (-10)/(-4). Let h(k) = -k**2 + k. Let m(x) = -x**3 - 5*x**2 + 6*x. Let s(y) = b*m(y) + 10*h(y). Suppose s(l) = 0. What is l?
-1, 0, 1
Let z(n) be the first derivative of 11*n**2 - 9/2*n**4 - 5 - 8*n**3 - 4*n. Factor z(c).
-2*(c + 2)*(3*c - 1)**2
Suppose -2*k + 5 = 1. What is t in k*t**2 - 5*t**2 + 2*t**2 = 0?
0
Suppose 7 = -c - 0. Let z = c + 7. Solve -3/2*r**3 + 0*r + z - r**2 - 1/2*r**4 = 0 for r.
-2, -1, 0
Let h(o) be the third derivative of o**5/120 + 3*o**4/32 - 5*o**3/24 - o**2 + 3*o. What is u in h(u) = 0?
-5, 1/2
Let f(b) = 8*b**3 + 12*b**2 - 7. Let k(s) = 1. Let a(n) = f(n) + 3*