d derivative of -o**7/231 - o**6/165 + o. Factor y(j).
-2*j**4*(j + 1)/11
Let x(j) be the second derivative of 1/9*j**6 + 0 - 5/18*j**4 + 1/9*j**7 + 0*j**2 - j - 3/10*j**5 + 2/9*j**3. Let x(b) = 0. What is b?
-1, 0, 2/7, 1
Let x be 5 - (2 + -2)/(-4). Factor 0 + 0*c**3 + 3/2*c**x - 3/2*c - 3*c**4 + 3*c**2.
3*c*(c - 1)**3*(c + 1)/2
Let v(t) be the second derivative of -t**6/60 - t**5/20 - 3*t. Factor v(m).
-m**3*(m + 2)/2
Let d(p) be the second derivative of -p**6/45 - p**5/10 - p**4/6 - p**3/9 + 6*p. Let d(a) = 0. Calculate a.
-1, 0
Let g = 25 - 21. Let i(n) be the third derivative of -1/210*n**7 + 1/90*n**5 + 0*n**g + 0*n - 1/360*n**6 + n**2 + 0 + 0*n**3. Factor i(b).
-b**2*(b + 1)*(3*b - 2)/3
Let s be 48/27 - (-6)/27. Suppose 11 = -3*u + 2*o + 2*o, 3*u - 14 = -o. Suppose 2*p**4 + 2*p**s + 0*p - 3*p + p - 4*p**4 + 2*p**u = 0. What is p?
-1, 0, 1
Solve 0*w**2 + 6/7 + 3/7*w**3 - 9/7*w = 0.
-2, 1
Let k(x) = x**2 - 9*x + 12. Let n be k(8). Factor 4*t + 0*t**2 - t**2 + 5*t + 6 + n*t**2.
3*(t + 1)*(t + 2)
Let v(h) be the second derivative of -h**4/96 + h**2/16 + 18*h. Suppose v(k) = 0. Calculate k.
-1, 1
Let j be 43/5 + (-6)/10. Let t(h) = -h + 10. Let v be t(j). Suppose -4/3*g**3 + 0 + 0*g + 2/3*g**4 + 2/3*g**v = 0. What is g?
0, 1
Let m be (-1 + 2/3)*117/(-78). Factor -m*b + 0 + 2*b**2.
b*(4*b - 1)/2
Let c = 21 - 12. Suppose 3 = -l - 2*y, 3*l + y = 5*l - c. Factor -1/2*i**3 + l*i**2 - 6*i + 4.
-(i - 2)**3/2
Let q(m) be the second derivative of m**4/54 - m**2/9 - 2*m. Find h, given that q(h) = 0.
-1, 1
Factor 72*m - 11*m**2 + 63*m**2 + 2*m**3 - 28*m**2.
2*m*(m + 6)**2
Let r(s) = s - 6. Let u be r(6). Suppose u = -5*g + 2*a + 5, -12 = -g - 4*a + 11. Determine l so that -1 - l**g + l**3 - 1 - l**3 + 3*l = 0.
-2, 1
Let g(j) = 3*j**4 - 2*j**3 + j**2 - 2. Let z(a) = -a**2 + 7*a - 5. Let y be z(6). Let q(s) = -s**4 + s**3 - s**2 + 1. Let i(f) = y*g(f) + 2*q(f). Factor i(t).
t**2*(t - 1)*(t + 1)
Let k(s) be the first derivative of 1/8*s**2 - 2 + 1/4*s - 1/12*s**3 - 1/16*s**4. What is o in k(o) = 0?
-1, 1
Let i(m) = 12*m**3 + 2*m**2. Let j be ((-9)/(-6))/(3/20). Let s(g) be the third derivative of g**6/120 - 2*g**2. Let p(a) = j*s(a) - i(a). Factor p(z).
-2*z**2*(z + 1)
Let a = 6 + -4. Solve -a*h**3 - 5*h + h - 4*h**4 - 2*h**5 + 8*h**3 + 2*h**2 + 2*h**4 = 0 for h.
-2, -1, 0, 1
Suppose 0*w + d - 10 = -3*w, 4*d - 22 = -3*w. Factor -7*p**2 + 13*p**2 + p**4 + p + 1 + p**5 - w*p**3 - 8*p**2.
(p - 1)**2*(p + 1)**3
Let d(t) = 4*t - 4. Let c(p) = -21 + 20*p + 2*p**2 - 2*p**2 + p**2. Suppose 0 = 3*r + 41 - 8. Let z(v) = r*d(v) + 2*c(v). Factor z(k).
2*(k - 1)**2
Let j = -84 - -84. Let s(c) be the third derivative of -4*c**2 + j*c + 1/9*c**3 + 0 - 1/60*c**5 - 1/72*c**4. Factor s(z).
-(z + 1)*(3*z - 2)/3
Let x(z) be the third derivative of -z**8/10080 - z**7/1680 - z**6/1080 - z**3/2 + 2*z**2. Let g(s) be the first derivative of x(s). Solve g(r) = 0 for r.
-2, -1, 0
Factor 0 + 1/3*x**5 - 2/3*x**3 + 1/3*x**4 + 0*x**2 + 0*x.
x**3*(x - 1)*(x + 2)/3
Let i = -43 + 62. Let j = -10 + i. Solve -3*n**4 - 7*n**5 + j*n**2 + 5*n**3 - n**4 - 5*n**4 + 2*n = 0 for n.
-1, -2/7, 0, 1
Suppose 0*y + 5*n = 4*y - 5, 4*y + 5*n - 35 = 0. Let q(k) be the second derivative of 0 + 1/50*k**y + 0*k**3 + 1/30*k**4 - 2*k + 0*k**2. Factor q(u).
2*u**2*(u + 1)/5
Solve 1/4*j**3 + 0*j + 1/2*j**2 + 0 = 0.
-2, 0
Let 4 - 2*w**4 - 3*w**2 + 38*w - 42*w + w**4 + 4*w**3 = 0. What is w?
-1, 1, 2
Let k(z) = z**3 - 2*z**2 - 8*z + 4. Let r be k(4). Let f(l) be the second derivative of -3*l - 1/2*l**r + 2/3*l**3 + l**2 + 0. Factor f(d).
-2*(d - 1)*(3*d + 1)
Let s(z) = z + 4. Let c be s(-4). Factor 0 + 3/4*x**3 + c*x + 3/4*x**4 + 1/4*x**2 + 1/4*x**5.
x**2*(x + 1)**3/4
Let f(h) be the second derivative of 0 - 1/4*h**4 + 3*h + 2*h**2 - 1/20*h**5 + 0*h**3. Let f(k) = 0. Calculate k.
-2, 1
Let h(r) be the second derivative of 0 + 1/60*r**5 + 0*r**2 + r - 1/2*r**3 - 1/24*r**4 - 1/360*r**6. Let d(v) be the second derivative of h(v). Solve d(u) = 0.
1
Let i(h) be the second derivative of -1/3*h**4 + 0*h**2 + 2/15*h**6 + h - 1/3*h**3 + 0*h**5 + 0 + 1/21*h**7. Factor i(b).
2*b*(b - 1)*(b + 1)**3
Suppose -3*h**2 + 27/5 + 9/5*h + 3/5*h**3 = 0. Calculate h.
-1, 3
Determine j so that -2/5 + 2/5*j**2 + 0*j = 0.
-1, 1
Suppose 4*d + 5*a - 23 = -2, 0 = 3*d + 5*a - 22. Let j be d + 0 - (-7)/6. Let 0 - j*i**2 - 1/6*i = 0. What is i?
-1, 0
Let l(i) = -2*i**3 + 4*i**2 - 8*i - 6. Let u(v) = -4*v**3 + 8*v**2 - 15*v - 11. Let m be ((-11)/(-2))/((-3)/(-6)). Let o(r) = m*l(r) - 6*u(r). Factor o(q).
2*q*(q - 1)**2
Let 2/5*g**4 + 2/5*g**3 + 0*g + 0 - 4/5*g**2 = 0. Calculate g.
-2, 0, 1
Let s(m) be the first derivative of -m**3/2 - 5*m**2/4 + m + 9. Factor s(z).
-(z + 2)*(3*z - 1)/2
Suppose 12 - 4 = 4*h. Suppose 12*y**4 - 4*y**3 - 16*y**4 + 4*y**5 + 4*y**2 + 0*y**h = 0. Calculate y.
-1, 0, 1
Suppose 0 = o - 2. Let u(z) be the first derivative of -1 + 2*z**o + 2/3*z**3 + 2*z. Factor u(j).
2*(j + 1)**2
Let p(a) = -a - 8. Let l be p(-9). Solve x**3 - 6*x**2 + 3*x**3 + 0 + 0*x**3 - x**4 - l + 4*x = 0 for x.
1
What is t in -3/8*t - 1/8*t**2 - 1/4 = 0?
-2, -1
Suppose -2*d + 22 = 3*d + 2*f, -f = -4*d + 15. Solve 2*q**d - 2*q**3 + 2 - 2 + 0 = 0 for q.
0, 1
Find k, given that -2/3*k**2 + 2/3*k + 4 = 0.
-2, 3
Factor 49*m**3 + 64*m - 67*m - 43*m**3 + 3*m**2.
3*m*(m + 1)*(2*m - 1)
Determine l so that -4*l**4 + 8 - 4*l**2 - 46*l**3 + 15*l + 34*l**3 - 3*l = 0.
-2, -1, 1
Let q(c) be the third derivative of -c**5/15 - c**4/3 - 2*c**3/3 + 6*c**2. Factor q(p).
-4*(p + 1)**2
Let z(h) be the first derivative of 1/10*h**4 + 2/15*h**3 - 2/25*h**5 + 0*h - 2 - 1/5*h**2. Solve z(r) = 0.
-1, 0, 1
Let j(o) = 4*o**4 - 13*o**3 + 8*o**2 + o + 3. Let x(a) = -15*a**4 + 51*a**3 - 31*a**2 - 5*a - 13. Let p(l) = 26*j(l) + 6*x(l). Factor p(v).
2*v*(v - 1)**2*(7*v - 2)
Let g be (54/(-108))/(1/(-4)). Let b(f) = -f**3 - 2*f**2 - f. Let j be b(-2). Suppose -j + 2*z**3 - 2*z + 1/2*z**4 + 3/2*z**g = 0. What is z?
-2, -1, 1
Let w(l) be the second derivative of -1/18*l**3 - 1/36*l**4 + 8*l + 0 + 0*l**2. Factor w(z).
-z*(z + 1)/3
Let j = -3018/5 - -604. Find v such that 0 + j*v**2 + 0*v - 1/5*v**3 = 0.
0, 2
Let l(p) be the second derivative of p**5/5 + 2*p**4/3 + 2*p**3/3 + 5*p. Suppose l(o) = 0. Calculate o.
-1, 0
Let b(d) be the first derivative of -3*d**5 - 95*d**4/4 + 70*d**3/3 - 6. Let b(q) = 0. Calculate q.
-7, 0, 2/3
Let c be 0/4*(-9)/(-27). Factor -2/9*d**2 + c*d + 2/9.
-2*(d - 1)*(d + 1)/9
Let y = -2/123 - -28/41. Factor 0*r**2 - y*r + 2/3*r**3 + 0.
2*r*(r - 1)*(r + 1)/3
Let y = -289/20 - -76/5. Factor y*z**2 + 3/4*z - 3/4 - 3/4*z**3.
-3*(z - 1)**2*(z + 1)/4
Suppose -a = 4*p + 22, 4*p - 2*a - 3 = -19. Let r(m) = -m**2 - 5*m + 1. Let g be r(p). Suppose -4*k**2 + 5*k + 3 - g - 3 = 0. What is k?
1/4, 1
Find l, given that 28/5*l**4 + 0*l - 8/5*l**2 + 0 + 4*l**3 = 0.
-1, 0, 2/7
Let p = 79/78 + -9/26. Factor 1/3*r + 0 + 0*r**3 + p*r**4 - 2/3*r**2 - 1/3*r**5.
-r*(r - 1)**3*(r + 1)/3
Let r(l) be the second derivative of l**6/15 - l**5/5 - 10*l. Suppose r(u) = 0. What is u?
0, 2
Let k = 1 - -4. Suppose 3*s**2 - k*s**4 - s + s**3 - 2*s**2 + 4*s**4 = 0. What is s?
-1, 0, 1
Let p(f) be the first derivative of f**3/9 - f**2/3 - 55. Factor p(j).
j*(j - 2)/3
Factor 2*w - 3*w + 8*w**3 + 0*w**3 - 4*w**4 - w**3 - 2*w**2.
-w*(w - 1)**2*(4*w + 1)
Let k be (-1)/(-3*3/(-288)). Let a = k + 98/3. Factor 0 + a*q - q**2 - 5/3*q**3.
-q*(q + 1)*(5*q - 2)/3
Suppose -4*t = 2*s - 2, s + t - 1 = 2. Let i(h) = 4*h**2 + h - s*h**2 + 2*h**2. Let u(d) = 2*d**2. Let k(v) = 4*i(v) - u(v). Factor k(r).
2*r*(r + 2)
Let j(u) be the second derivative of -3/140*u**5 + 0*u**2 + 0 + 5*u + 0*u**3 + 1/70*u**6 + 0*u**4. Let j(d) = 0. Calculate d.
0, 1
Factor 110*j + 31 - 156 - 480 - 5*j**2.
-5*(j - 11)**2
Suppose 3*o = -5*n + 15, 7*n + 25 = 12*n + 5*o. Suppose 0*a + n*a**3 - 1/3 - 1/3*a**4 + 2/3*a**2 = 0. What is a?
-1, 1
Factor -1/3*v**2 - 6*v - 27.
-(v + 9)**2/3
Solve 6*b**2 - 2 - 2 + 2*b**2 - 4*b**4 + 0*b**2 = 0 for b.
-1, 1
Determine n so that -3*n**2 + 7*n**2 - 3*n**3 - n**2 = 0.
0, 1
Let r be 119/28 + (-2)/8. Solve h**3 + 3*h**2 - 9*h**r + 11*h**3 + 0*h**3 - 6*h = 0 for h.
-2/3, 0, 1
Factor 0*b + 0*b**3 + 0 - 2/5*b**5 + 0*b**2 - 2/5*b**4.
-2*b**4*(b + 1)/5
Let g(d) = -15*d**3 + 39*d**2 - 11*d - 5. Let z(f) = -8*f