*r**2. Factor b(f).
-3*(f - 1)*(f + 2)*(9*f - 2)/7
Let d = 19 + -16. Suppose -3*r**2 + 4*r**d - r**2 - 3*r - r + 2*r**4 + 2*r**4 = 0. What is r?
-1, 0, 1
Let m = -8 + 6. Let o be (((-30)/9)/5)/m. Determine c, given that 0 - o*c + 1/3*c**2 = 0.
0, 1
Let u(y) be the third derivative of -5*y**2 + 0*y + 0*y**5 + 1/30*y**6 + 0 + 0*y**3 - 1/168*y**8 - 1/12*y**4 + 0*y**7. Suppose u(d) = 0. Calculate d.
-1, 0, 1
Let k(h) be the second derivative of h**7/28 - 3*h**6/20 + 3*h**5/20 + h**4/4 - 3*h**3/4 + 3*h**2/4 - 5*h. Determine t so that k(t) = 0.
-1, 1
Let w(i) = i**4 + 4*i**3 - 5*i**2 - 6*i. Let l(u) = u**4 - u**3 - u. Let x(r) = -6*l(r) + w(r). Factor x(v).
-5*v**2*(v - 1)**2
Let h(r) = -5*r**3 + 2*r**2 + 5*r - 4. Let m(d) = -5*d**3 + 2*d**2 + 5*d - 5. Let l(j) = 3*h(j) - 2*m(j). Solve l(w) = 0 for w.
-1, 2/5, 1
Suppose -310 + 42 = 4*o. Let g = -129/2 - o. What is m in 0 + 0*m - m**4 + 5/2*m**3 - g*m**5 + m**2 = 0?
-1, -2/5, 0, 1
Let r = -873817/6441 + -4/2147. Let h = 137 + r. Solve 2/3*g**2 + 2/3 - h*g = 0 for g.
1
Let z(v) be the second derivative of v**7/2100 + v**6/900 - v**5/300 - v**4/60 - v**3/3 - v. Let s(g) be the second derivative of z(g). Factor s(n).
2*(n - 1)*(n + 1)**2/5
Let j = 27877 - 1421681/51. Let z = j + -4/17. What is d in 2/3*d**2 - 4/3 + z*d = 0?
-2, 1
Factor -1/2 - 1/4*k + 1/4*k**2.
(k - 2)*(k + 1)/4
Let v be (3 - (-11648)/44) + 0. Let r = v - 267. Factor 2/11*t**5 + r*t**4 + 0 + 2/11*t + 8/11*t**2 + 12/11*t**3.
2*t*(t + 1)**4/11
Let p(a) be the second derivative of -4/39*a**4 + 2/13*a**2 + 3/130*a**5 + 0 + 1/13*a**3 - a. Find j, given that p(j) = 0.
-1/3, 1, 2
Let c(d) be the third derivative of -d**6/180 + d**5/90 + d**4/18 - 13*d**2. Determine o, given that c(o) = 0.
-1, 0, 2
Let f(g) be the third derivative of 11*g**7/210 - g**6/60 - 11*g**5/60 + g**4/12 - 7*g**2. Factor f(h).
h*(h - 1)*(h + 1)*(11*h - 2)
Let l(r) be the third derivative of r**5/20 + 5*r**4/8 + 2*r**3 - 3*r**2. Factor l(t).
3*(t + 1)*(t + 4)
Suppose -3*v + 30 = -0. Suppose -2*s - 5 = -3*x, -3*s + 5 = -v. Let 4*z**3 - 2*z - 3*z**x + z**4 - 2 + 4*z**2 + z**5 - 3*z**4 = 0. What is z?
-1, 1
Let b = -2240/153 + 264/17. Find y, given that b*y**3 + 10/9*y**2 + 0 + 4/9*y + 2/9*y**4 = 0.
-2, -1, 0
Let u(b) be the first derivative of -b**4/26 - 17. Suppose u(d) = 0. What is d?
0
Factor -z**4 + 0*z**3 + 5*z**3 - 6*z**3.
-z**3*(z + 1)
Factor 6*n - 2*n**2 + 4*n**2 + 8 - 4.
2*(n + 1)*(n + 2)
Let v(j) = j**2 + 16*j + 11. Let k be v(-16). Let b = -53/5 + k. Factor -1/5 + 2/5*a**3 + 1/5*a**4 + 0*a**2 - b*a.
(a - 1)*(a + 1)**3/5
Let q be (-1 + 4 + 2)*-4. Let l be ((-24)/q)/((-6)/(-20)). Suppose -12*w**3 - 2*w**5 - 8*w**2 - 7*w**4 - 4*w + 2*w - w**l = 0. Calculate w.
-1, 0
Let j(w) be the second derivative of 2*w**6/3 + w**5/4 - 20*w**4 - 190*w**3/3 - 40*w**2 + 49*w. Factor j(n).
5*(n - 4)*(n + 2)**2*(4*n + 1)
Let c(y) be the first derivative of -y**4 + 4*y**3 - 6*y**2 + 4*y + 7. Factor c(v).
-4*(v - 1)**3
Let y be 1*(-8)/60 + 64/30. Solve 4/3*j**3 + 0*j**y - j + 1/3 = 0.
-1, 1/2
Let o be (-6 + 3)/(6/(-4)). Let 5 + 2 - 3 - o*m**2 + 2*m = 0. Calculate m.
-1, 2
Let a(m) be the second derivative of -2*m**7/63 - 7*m**6/135 + m**5/90 + m**4/27 - 16*m. Find y, given that a(y) = 0.
-1, -2/3, 0, 1/2
Let q(i) be the second derivative of i**4/6 - 4*i**3/3 + 3*i**2 - 2*i + 14. Factor q(v).
2*(v - 3)*(v - 1)
Suppose x = -0*x. Let b be x/1 + (-2 - -5). Factor 1/3*d**4 - 1/3*d**b + 0*d**2 + 0*d + 0.
d**3*(d - 1)/3
Let l(i) = -2*i**2 - 3*i - 3. Let x(d) = -d**2 + d + 1. Let k(y) = l(y) + 3*x(y). Solve k(c) = 0 for c.
0
Let a(n) be the second derivative of -n**5/40 - 5*n**4/24 - n**3/4 + 9*n**2/4 - 4*n + 3. Factor a(y).
-(y - 1)*(y + 3)**2/2
Let v(a) be the first derivative of -a**5/15 - a**4/12 + a**3/3 + a**2/6 - 2*a/3 - 24. Factor v(k).
-(k - 1)**2*(k + 1)*(k + 2)/3
Factor 8*c + c**2 + 16 - 10*c + 10*c.
(c + 4)**2
Let r(i) be the first derivative of 5*i**4/4 - 10*i**3 + 1. What is t in r(t) = 0?
0, 6
Let d(x) = -x**3 + 10*x**2 - 8*x + 13. Let k be d(9). Let h be (-44)/(-11) + (-80)/k. Find m such that h*m**2 + 10/11*m + 4/11 = 0.
-2, -1/2
Suppose 0 = 4*s, 0 = -7*a + 6*a - 2*s + 2. Let 0 - 2/3*h**a + 0*h = 0. Calculate h.
0
Let d(l) be the first derivative of l**3/3 - l**2/2 + 5. Factor d(i).
i*(i - 1)
Let f(k) = -7*k**2 + 2*k - 8. Let c(u) = -6*u**2 + 2*u - 7. Let v(o) = -6*c(o) + 5*f(o). Let r be v(2). Factor -4*i**2 + 2*i**r + 4*i**2 - 6*i**4 + 4*i**5.
2*i**2*(i - 1)**2*(2*i + 1)
Let d(y) = -y**4 - y**2 + y. Let r(a) = 4*a**4 + 5*a**3 + 12*a**2 + 4*a + 2. Let q(t) = -6*d(t) - 2*r(t). Factor q(x).
-2*(x + 1)**3*(x + 2)
Determine z, given that -4*z**3 - 5*z**3 + 0*z**4 - 12*z**4 + 12*z - 3*z**5 + 6*z**2 + 6*z**2 = 0.
-2, -1, 0, 1
Let r(h) = -15*h**2 - 82*h. Let y(f) = 5*f**2 + 27*f. Let c(j) = -2*r(j) - 7*y(j). Find t, given that c(t) = 0.
-5, 0
Let d(n) = -4*n**2 - 17*n + 2. Let a(v) = v**2 + v. Let x(p) = 5*a(p) + d(p). Let g be x(12). Factor 5*m - 3*m - 2*m**2 + 4*m**g.
2*m*(m + 1)
Let i be (-28)/16 + 4*(-1)/(-2). Factor 0*d + i*d**2 - 1/4.
(d - 1)*(d + 1)/4
Let n = 2 - -6. Let f = n + 2. Factor 8 + 2*r**4 - 7*r + 4*r**3 + 3*r - f.
2*(r - 1)*(r + 1)**3
Suppose -2 = s - 2*s. Suppose f - s = -0*f. Factor w**2 + 0*w + f*w - 2*w**2.
-w*(w - 2)
Let n(s) = 7*s**2 - 7*s + 3. Let u(w) = 6*w**2 - 6*w + 2. Let x(q) = 2*n(q) - 3*u(q). Let x(t) = 0. Calculate t.
0, 1
Let s = -5/44 - -4/11. Find o, given that 1/4*o**5 - s*o**2 + 1/4*o**4 + 0*o + 0 - 1/4*o**3 = 0.
-1, 0, 1
Let r be 8/(-36) - 75/27. Let w be (r/(-12))/((-2)/(-16)). Let 1/4*d**4 + d**3 + 1/4 + 3/2*d**w + d = 0. Calculate d.
-1
Suppose 11 = 3*l - 4*z - 53, -20 = -l + 2*z. Let x be 9/l*(-8)/(-12). Factor 0 - x*y**5 + y**2 + y**4 - 1/4*y - 3/2*y**3.
-y*(y - 1)**4/4
Let q(d) = -23*d**3 - 37*d**2 - 38*d. Let r(u) = 15*u**3 + 25*u**2 + 25*u. Let o(x) = 5*q(x) + 8*r(x). Determine p so that o(p) = 0.
-2, -1, 0
Let f = 11 + -10. Let n be 2/4*0/f. Factor 3*l + n*l**4 - 3*l**3 - 4*l**2 + 4*l**2 + 3*l**2 - 3*l**4.
-3*l*(l - 1)*(l + 1)**2
Factor p**3 + 2*p**2 - 36 + 36.
p**2*(p + 2)
Let w = 13 - 9. Let f(r) be the first derivative of -8/5*r + 3 + 3*r**w + 22/15*r**3 - 2*r**5 - 12/5*r**2. Determine p so that f(p) = 0.
-2/5, 1
Let q(p) be the third derivative of -1/12*p**4 + 1/105*p**7 + 1/3*p**3 + 1/30*p**6 + 0 - 1/15*p**5 + 0*p + 9*p**2 - 1/168*p**8. Solve q(c) = 0 for c.
-1, 1
Let j be (-1 - -1)*3/(-9). Let p(a) be the second derivative of -3/4*a**4 + 2*a - 1/3*a**3 - 1/6*a**6 + j + 0*a**2 - 3/5*a**5. What is h in p(h) = 0?
-1, -2/5, 0
Let k = 19 + -19. Suppose 0 = -3*v + b - k + 5, -v - b = -3. Factor 0*c + 1/4*c**v + 0 - 1/4*c**3.
-c**2*(c - 1)/4
Let h(s) be the first derivative of s**4/24 - s**3/9 + s**2/12 + 1. Factor h(g).
g*(g - 1)**2/6
Let w = 136/287 - -4/41. Factor -10/7*l**3 + 0 - 2*l**2 - w*l.
-2*l*(l + 1)*(5*l + 2)/7
Let d(r) = -r**3 - r**2 - r - 1. Let t(u) = u**3 + 4*u**2 + 2*u + 2. Let y(f) = 4*d(f) + 2*t(f). Solve y(o) = 0.
0, 2
Let u(b) be the first derivative of -b**6/60 - b**5/10 + 4*b**3/3 + b**2/2 - 4. Let g(t) be the second derivative of u(t). Factor g(d).
-2*(d - 1)*(d + 2)**2
Let f(t) be the second derivative of 8*t**6/15 + 13*t**5/15 + t**4/3 - t**3/6 - t**2/6 - 18*t. Solve f(o) = 0.
-1/2, -1/3, 1/4
Let u(l) = 2*l**3 - 5*l**2 - 2*l - 1. Let h(m) = m**2 + 1. Let r(c) = 6*h(c) + 2*u(c). Factor r(f).
4*(f - 1)**2*(f + 1)
Let j(t) = 9*t**4 + 41*t**3 + 60*t**2 + 24*t - 1. Let b(o) = o**3 + 1. Let s(i) = b(i) + j(i). Suppose s(c) = 0. What is c?
-2, -2/3, 0
Factor 2/11*a**2 + 8/11*a + 6/11.
2*(a + 1)*(a + 3)/11
Let t(g) be the third derivative of -g**7/2100 + g**5/300 + g**3/6 - 3*g**2. Let v(r) be the first derivative of t(r). What is u in v(u) = 0?
-1, 0, 1
Let m(b) = -7*b**2 - 12*b + 19. Let o(k) = -3*k**2 - 6*k + 9. Let z(i) = -4*m(i) + 9*o(i). Solve z(y) = 0.
1, 5
Factor -18/11*c**2 - 4/11 + 2*c.
-2*(c - 1)*(9*c - 2)/11
Let x = -6 + 5. Let y(h) = -h**3 - h + 1. Let f(i) = i**3 + 9*i**2 - 2*i - 4. Let t(j) = x*f(j) - 4*y(j). Let t(r) = 0. What is r?
0, 1, 2
Let j(q) = -4*q**4 - 5*q**3 + 2*q - 2. Let a(s) = -7*s**4 - 9*s**3 + 4*s - 3. Let y = -6 - -9. Let i(r) = y*a(r) - 5*j(r). Factor i(v).
-(v - 1)*(v + 1)**3
Let b(l) be the first derivative of l**5/140 - l**4/14 + 3*l**3/14 + 7*l**2/2 + 8. Let f(r) be the second d