= 0.
0, 1/2
Let a(h) = h**3 + 9*h**2 - 8*h + 14. Let f be a(-10). Let o(l) = -l - 1. Let x be o(f). Factor 1/3*s**4 + 1/3*s**x - 1/3*s**3 + 0 - 1/3*s**2 + 0*s.
s**2*(s - 1)*(s + 1)**2/3
Let b(i) be the first derivative of i**4 - 4*i**3/3 - 8*i**2 + 16*i - 35. Find z, given that b(z) = 0.
-2, 1, 2
Let t(h) = -h**3 + h**2 + 6. Let o(r) = -r - 7. Let l be o(-7). Let q be t(l). What is w in -q*w + 2*w - 2 + 4*w**3 - 1 + 1 + 2*w**4 = 0?
-1, 1
Let p(k) = -2*k**3 - 6*k**2 + 2. Let f = 31 - 27. Let q(h) = -h**3 - 5*h**2 + h + 1. Let r(g) = f*p(g) - 6*q(g). Factor r(o).
-2*(o - 1)**3
Let a(t) = 6*t**4 - 18*t**3 + 24*t**2 - 9*t + 3. Let s(d) = 11*d**4 - 35*d**3 + 48*d**2 - 19*d + 5. Let y(r) = -5*a(r) + 3*s(r). Solve y(x) = 0.
0, 1, 2
Let q(r) be the first derivative of -r**3 - 3*r**2/2 + 3. Factor q(a).
-3*a*(a + 1)
Factor -5*l**4 + 4*l - 6*l**4 - l**4 - 16*l**2 + 4*l**5 + 24*l**3 - 4*l**4.
4*l*(l - 1)**4
Factor 0 + 0*j - 3/7*j**5 - 3/7*j**2 + 3/7*j**3 + 3/7*j**4.
-3*j**2*(j - 1)**2*(j + 1)/7
Let g(s) be the third derivative of -s**5/20 + s**4 - 8*s**3 - 13*s**2. Factor g(p).
-3*(p - 4)**2
Suppose -37*m**2 + 17*m**2 + 8*m + 16*m**2 = 0. Calculate m.
0, 2
Let o be -1*6/(-3) + -7. Let w = o + 8. Determine p so that 567*p**5 + 1296*p**4 + 1265*p**3 + 426*p**2 + 1 + 5 + 156*p**3 + 81*p - 341*p**w = 0.
-1, -1/3, -2/7
Let d be (-4)/(12 + -4) - (-3)/6. Factor -2/3*u**2 + 4/9*u + d + 2/9*u**3.
2*u*(u - 2)*(u - 1)/9
Let r(f) be the second derivative of f**4/90 - f**3/45 - 2*f**2/15 + 8*f. Factor r(l).
2*(l - 2)*(l + 1)/15
Let g = 154/45 - 16/5. Suppose 2/9*n**4 + 2/9*n**5 - 4/9*n**2 - 4/9*n**3 + 2/9 + g*n = 0. Calculate n.
-1, 1
Suppose 2*q - 4*q = 0. Let w(s) be the second derivative of q + 0*s**4 + 0*s**6 + 1/12*s**3 - 1/20*s**5 + 1/84*s**7 + 0*s**2 - 2*s. Factor w(h).
h*(h - 1)**2*(h + 1)**2/2
Let c(t) be the third derivative of -11*t**5/210 - 13*t**4/84 - 2*t**3/21 - 2*t**2. Find r such that c(r) = 0.
-1, -2/11
Let d be (-2)/15 + (-8)/(-10). Factor d*b - 1/3 - 1/3*b**2.
-(b - 1)**2/3
Let p(i) be the third derivative of -i**8/24 + 11*i**7/105 + 11*i**6/70 - 26*i**5/105 + 2*i**4/21 - i**2. What is g in p(g) = 0?
-1, 0, 2/7, 2
Let s(d) be the second derivative of -d**4/48 + d**3/24 + 6*d. Factor s(q).
-q*(q - 1)/4
Let v(j) = j**3 - 9*j**2. Let s be v(9). Suppose -b + s + 3 = 0. Determine r so that 6*r**2 - b*r + 3/2*r**4 + 1/2 - 5*r**3 = 0.
1/3, 1
Let l(g) = 7*g**3 - 3*g**2 - 4*g + 4. Let q(w) = -6*w**3 + 3*w**2 + 3*w - 3. Suppose 0 = -2*t + 4*t - 8. Let d(b) = t*q(b) + 3*l(b). Factor d(o).
-3*o**2*(o - 1)
Let w(s) = -s. Let g(j) = 52*j**2 + 18*j + 2. Let i(b) = -2*g(b) + 6*w(b). Factor i(t).
-2*(4*t + 1)*(13*t + 2)
Let c(v) be the first derivative of -v**4/6 + 2*v**3/3 + 3*v + 2. Let s(w) be the first derivative of c(w). Suppose s(l) = 0. What is l?
0, 2
Let n = 4 + 1. Let b be ((-36)/14)/(n/(-7)). What is k in -4/5 + b*k**3 - 22/5*k - 24/5*k**2 = 0?
-1/3, 2
Let w(v) = -4*v**2 - v - 3. Let c(p) = 2*p - p**2 - 1 - 2*p. Suppose -u = 2*u + 3. Let q(i) = u*w(i) + 3*c(i). Let q(a) = 0. What is a?
-1, 0
Let z = -29 + 29. Let s(p) = -p**3 + p**2 + 5. Let q be s(z). Find v, given that -2/3*v - 2/3*v**q - 4*v**3 + 0 - 8/3*v**4 - 8/3*v**2 = 0.
-1, 0
Suppose -t + 0*t - 3 = 0, -18 = -a + 5*t. Suppose -4*s + a*s + 2 = 0. Let 2*i**2 + 2/3*i + s*i**3 + 2/3*i**4 + 0 = 0. Calculate i.
-1, 0
Let f(w) = -w + 1. Let d be f(-5). Find m, given that 19*m**3 - 9*m**3 - 8*m**3 - d*m**2 = 0.
0, 3
Let s be (3 + -2*2)*9. Let k = s + 14. Factor -3*u**3 + 13/3*u**4 - 1/3*u**2 + 2/3*u - 5/3*u**k + 0.
-u*(u - 1)**3*(5*u + 2)/3
Let n(c) be the first derivative of -2*c**5/135 - c**4/108 - c**2/2 - 3. Let q(f) be the second derivative of n(f). Factor q(p).
-2*p*(4*p + 1)/9
Let c = -2 + 4. Find k such that -2*k**3 - 2*k + 4*k - 5*k**2 + 7 - 3 + k**c = 0.
-2, -1, 1
Let h(f) = f**2. Let t(z) = 10*z**2 - z. Let k(a) = 6*h(a) - t(a). Factor k(w).
-w*(4*w - 1)
Let t be (-3)/(-135)*1*3. Let x(l) be the first derivative of 1/5*l + 1/10*l**2 - t*l**3 - 1 - 1/20*l**4. Solve x(q) = 0 for q.
-1, 1
Let h = 14 + 21. Let t = 38 - h. Factor -3/2 - 3/2*o**5 - 3/2*o - 3/2*o**4 + t*o**3 + 3*o**2.
-3*(o - 1)**2*(o + 1)**3/2
Let i(m) be the second derivative of 0 + 1/36*m**4 - 1/12*m**5 - 4*m + 0*m**2 + 1/18*m**3 + 1/30*m**6. Suppose i(s) = 0. Calculate s.
-1/3, 0, 1
Suppose 4 = 4*u - 4*b, 7 = -85*u + 84*u + 5*b. Determine k so that 32/11*k - 32/11*k**u + 8/11 - 14/11*k**4 + 6/11*k**2 = 0.
-2, -1, -2/7, 1
Factor 192 + 4*g**3 + 27*g**2 + 160*g + 0*g**3 + 17*g**2.
4*(g + 3)*(g + 4)**2
Determine h so that 4/5*h**3 + 2/5*h**2 + 1/5 - 4/5*h - 3/5*h**4 = 0.
-1, 1/3, 1
Let w(r) = -9*r**5 - 11*r**4 - 17*r**3 - 5*r**2 + 5*r - 5. Let g(q) = 8*q**5 + 12*q**4 + 16*q**3 + 4*q**2 - 4*q + 4. Let z(d) = -5*g(d) - 4*w(d). Factor z(h).
-4*h**3*(h + 1)*(h + 3)
Find m such that 0 + 1/7*m**2 - 1/7*m**4 + 1/7*m - 1/7*m**3 = 0.
-1, 0, 1
Let j(c) be the third derivative of 0*c + 0*c**3 + 1/72*c**4 - 1/180*c**5 - c**2 + 0. Factor j(d).
-d*(d - 1)/3
Let i be (-1 - (-14)/18)/((-2)/3). Factor x**2 - i + 2/3*x.
(x + 1)*(3*x - 1)/3
Let t(d) be the first derivative of d**5/15 + d**4/4 + d**3/9 - d**2/2 - 2*d/3 + 15. Determine p so that t(p) = 0.
-2, -1, 1
Let m(j) be the first derivative of -1/5*j**2 + 7 + 1/15*j**3 - 3/5*j. Solve m(g) = 0 for g.
-1, 3
Let y(r) = 3*r**3 - 4*r**2 - 7*r + 5. Let n(z) = -2*z**2 + 5*z**3 + 0*z + 2 + 2*z - 5*z - 4*z**3. Let u(a) = 5*n(a) - 2*y(a). Factor u(w).
-w*(w + 1)**2
Let t(y) = -6*y**2 + y - 9. Suppose 5*w = 4*l + 44, 3*w = -5*l - 0*l - 18. Let q(c) = -5*c**2 + c - 8. Let o(x) = l*t(x) + 7*q(x). Solve o(v) = 0 for v.
-2, 1
Factor 7*t**2 + t**4 + 2*t**2 + 9*t**3 + t**4 + t**4 + 3*t.
3*t*(t + 1)**3
Let d(z) be the second derivative of -2*z**5/5 - 3*z**4/2 - 2*z**3 - z**2 - 5*z. Suppose d(p) = 0. Calculate p.
-1, -1/4
Suppose -7*k + 31*k - 48 = 0. Factor -2/9*m**4 - 18 - 24*m - 8/3*m**3 - 12*m**k.
-2*(m + 3)**4/9
Let c(n) be the first derivative of -n**5 + 39*n**4/8 - 49*n**3/6 + 6*n**2 - 2*n + 12. What is t in c(t) = 0?
2/5, 1/2, 1, 2
Let i = -55/3 + 19. Factor 0*v**2 + 0*v + 0 + 0*v**4 + i*v**3 - 2/3*v**5.
-2*v**3*(v - 1)*(v + 1)/3
Suppose -8*h**2 - 60 + 6*h + 60 + 10*h**2 = 0. Calculate h.
-3, 0
Let r(v) be the second derivative of v**6/6 - 3*v**5/4 - 5*v**4/4 + 55*v**3/6 - 15*v**2 - 2*v - 31. Factor r(b).
5*(b - 3)*(b - 1)**2*(b + 2)
Let c(x) = -x**3 - 5*x**2 + 6*x + 2. Let o be c(-6). Factor -1 + 4*a - 2*a - 2*a**o - 6*a - 1.
-2*(a + 1)**2
Let g = 262103/3 - 23327615/267. Let u = -1/89 - g. Solve 4/3*t**2 + 1/3 - 4/3*t + 2/3*t**3 - u*t**4 + 2/3*t**5 = 0.
-1, 1/2, 1
Let b = -1/69 - -49/207. Let z(w) be the first derivative of -b*w**3 - 2/3*w - 2/3*w**2 + 2. Let z(x) = 0. What is x?
-1
Suppose -4*s + 5 = s. Let d be (3/3)/(s/2). Factor -2*x - x + x - 2*x**d.
-2*x*(x + 1)
Let h = -564/5 + 113. Find p, given that -2/5 - 3/5*p - h*p**2 = 0.
-2, -1
Let v(b) be the second derivative of b**7/112 - 3*b**5/160 + 10*b. Factor v(j).
3*j**3*(j - 1)*(j + 1)/8
Let q(x) = 8*x**2 + 5*x - 3. Let k = 3 - 2. Let f(j) = -j**2 - j. Let s(g) = k*q(g) - 4*f(g). Suppose s(d) = 0. Calculate d.
-1, 1/4
Let s(d) be the second derivative of 0 + 0*d**2 + 9*d + 0*d**3 + 1/70*d**5 + 1/42*d**4. Find c such that s(c) = 0.
-1, 0
Suppose 5*i - 30 = -5*d, -5 = 3*d + 2*i - 19. Factor -4*p**2 - 3*p + 29 - d*p**3 - 29 + p.
-2*p*(p + 1)**2
Suppose -19 = -4*t + 13. Let r(n) = n**3 - 9*n**2 + 7*n + 10. Let i be r(t). Factor 0 - 6 - i*f + f**2 + f**2 + 2.
2*(f - 2)*(f + 1)
Let l = 11 + -7. Factor 2*g**2 - 2*g**5 + 0*g**5 - 6*g**3 + 0*g + 0*g + 6*g**l.
-2*g**2*(g - 1)**3
Determine x so that 0 + 2/9*x**3 - 4/9*x**5 + 0*x + 0*x**2 + 2/9*x**4 = 0.
-1/2, 0, 1
Let u(f) = -f**3 + 2*f**2 - f - 6. Let m be 2 + (-4)/(4/(-3)). Let t(s) = -s**3 + 2*s**2 - s - 5. Let x(l) = m*u(l) - 6*t(l). Solve x(c) = 0 for c.
0, 1
Let p(i) be the first derivative of 0*i + i**2 + 0*i**3 - 1/120*i**6 + 0*i**5 - 2 + 1/24*i**4. Let l(v) be the second derivative of p(v). Factor l(f).
-f*(f - 1)*(f + 1)
What is s in 0 + 2/17*s**2 + 0*s + 2/17*s**3 = 0?
-1, 0
Let i = 178/3 - 59. Let j(k) be the first derivative of -1/9*k**3 - i*k + 2 + 1/3*k**2. Factor j(h).
-(h - 1)**2/3
Let o(b) be the third derivative of -7*b**5/40 + b**4/16 - 4*b**2. Factor o(c).
-3*c*(7*c - 1)/2
Let z(f) be