n o(i) = 0?
-21
Let n(u) be the second derivative of -u**4/30 - u**3/15 + 6*u**2/5 - 12*u. Factor n(c).
-2*(c - 2)*(c + 3)/5
Let m(q) be the third derivative of 7*q**5/30 + 5*q**4/12 - 2*q**3/3 - 6*q**2. Factor m(n).
2*(n + 1)*(7*n - 2)
Let p(z) be the first derivative of -3*z**2 + 7 + 2*z**3 - 10 - z**3 + 3*z. Suppose p(f) = 0. Calculate f.
1
Let j(q) be the third derivative of q**8/84 - 4*q**7/35 + 2*q**6/5 - 2*q**5/3 + q**4/2 + 7*q**2 + 4. Factor j(n).
4*n*(n - 3)*(n - 1)**3
Suppose 2*u + 20 = 2*m, -4*m + 0*u + u = -43. Let i = -7 + m. Find l, given that 0 + 2/7*l**i - 2/7*l**2 + 2/7*l - 2/7*l**3 = 0.
-1, 0, 1
Suppose 5/3 - 2*x - 1/3*x**4 + 2*x**3 - 4/3*x**2 = 0. Calculate x.
-1, 1, 5
Suppose 4*f - 9 = f. Suppose -2*w + 5 = -f. Determine h, given that h**2 + w*h**3 - 2*h**3 + h**2 = 0.
-1, 0
Let x(a) = -10*a**3 - 15*a**2 + 5*a + 5. Let d(j) = 5*j**3 + 8*j**2 - 2*j - 2. Let w(z) = 5*d(z) + 3*x(z). Factor w(h).
-5*(h - 1)*(h + 1)**2
Let x(l) be the first derivative of 2*l**3/21 - 5*l**2/7 + 56. Let x(w) = 0. Calculate w.
0, 5
Let l(p) = p**3 + 7 + 3*p**3 + 2 - 3 - 4*p. Let o(d) = d**3 - d + 1. Let m(u) = -l(u) + 6*o(u). Factor m(g).
2*g*(g - 1)*(g + 1)
Let n(t) = t + 1. Let u be n(1). Let w(z) = -z**2 - 7*z + 11. Let r be w(-8). Factor -f**r + f + 4*f**2 - f - 5*f**u.
-f**2*(f + 1)
Let v(w) be the second derivative of 0*w**2 + 0*w**3 + 1/60*w**6 + 0*w**5 + 0 - 3*w - 1/24*w**4. Factor v(c).
c**2*(c - 1)*(c + 1)/2
Let w(i) be the first derivative of -2*i**5 + 5*i**4/4 + 25*i**3/3 + 5*i**2 - 40. Factor w(y).
-5*y*(y - 2)*(y + 1)*(2*y + 1)
Let g(c) = -8*c**3 - 17*c**2 - 10*c - 11. Let j(n) = -9*n**3 - 18*n**2 - 9*n - 12. Let b(i) = 6*g(i) - 5*j(i). Factor b(p).
-3*(p + 1)**2*(p + 2)
Factor 25/3 - 10/3*y**3 - 1/3*y**4 + 10/3*y - 8*y**2.
-(y - 1)*(y + 1)*(y + 5)**2/3
Let r(d) = -d**3 - 8*d**2 - d - 6. Let x be r(-8). Suppose c = 4, 10 - 30 = -4*p - x*c. Factor -2 + 6*w**2 + 2*w**p - w + 7*w + 4.
2*(w + 1)**3
Suppose 47 = 25*a - 3. Determine o, given that a*o + 4/3 + 2/3*o**2 = 0.
-2, -1
Let c(d) be the second derivative of d**7/56 + 3*d**6/40 - 3*d**5/80 - 11*d**4/16 - 3*d**3/2 - 3*d**2/2 - 9*d. Factor c(p).
3*(p - 2)*(p + 1)**3*(p + 2)/4
Let c(k) be the third derivative of -2/15*k**4 + 0 + 1/280*k**8 - 13/525*k**7 + 2/75*k**5 + 7/150*k**6 + 6*k**2 + 0*k**3 + 0*k. Let c(f) = 0. What is f?
-2/3, 0, 1, 2
Let f(h) = -h + 9. Let n be f(4). Let p be 19/n + 2/10. Factor 14/9*y**2 - 16/9*y**3 - 4/9*y + 2/3*y**p + 0.
2*y*(y - 1)**2*(3*y - 2)/9
Let j be -44*1/10 + 10. Solve 48/5*d**2 - 16/5*d + j*d**3 + 0 = 0.
-2, 0, 2/7
Let x = -9 - -10. Let o be (x/3)/(2/12). Factor -m + 4*m + m**5 + 0*m**5 + o*m**5 - 6*m**3.
3*m*(m - 1)**2*(m + 1)**2
Let n(a) be the first derivative of -1/16*a**4 + 1/8*a**2 + 0*a + 1 + 0*a**3. Factor n(c).
-c*(c - 1)*(c + 1)/4
Let k(r) = -9*r**3 - 17*r**2 + 18*r + 8. Let t(l) = 3*l**3 + 6*l**2 - 6*l - 3. Let y(i) = 3*k(i) + 8*t(i). Let y(s) = 0. Calculate s.
-2, 0, 1
Let a(h) = -h**3 + 2*h**2. Let c be a(2). Factor 0*i + c - 2/7*i**2.
-2*i**2/7
Let m(v) be the third derivative of v**6/40 - 9*v**5/10 + 27*v**4/2 - 108*v**3 + 2*v**2. Suppose m(w) = 0. What is w?
6
Let l(z) be the first derivative of z**3/18 + 5*z**2/12 + 2*z/3 + 13. Factor l(n).
(n + 1)*(n + 4)/6
Let r(c) be the second derivative of -c**4/42 + 2*c**3/21 - 2*c. Factor r(m).
-2*m*(m - 2)/7
Let t be 188/36 - (-25)/(-5). Find i such that 2/9*i**4 - 2/9*i + 0 - t*i**2 + 2/9*i**3 = 0.
-1, 0, 1
Let g be 2 + 52 + 1 - -1. Find s, given that -2 - 6 - 38*s**3 - g*s**4 + 48*s**2 - 20*s**3 + 8*s + 66*s**2 = 0.
-2, -2/7, 1/4, 1
Suppose -2*t = -5*z - 5*t + 213, 2*z = -t + 85. Let x be z/11 - 10/(-55). Factor 2/3*i**x + 2/3*i**2 + 4/3*i**3 + 0 + 0*i.
2*i**2*(i + 1)**2/3
Let a = 328 + -1967/6. Find k such that 1/6*k + a - 1/6*k**3 - 1/6*k**2 = 0.
-1, 1
Let i = 285/2 + -141. Factor -3/4*x + i - 3/4*x**2.
-3*(x - 1)*(x + 2)/4
Suppose -2*h - 6 = -4*h. Let x = -11 - -13. Factor -m + 2*m**h + x*m**5 + 0*m**3 - 3*m**5.
-m*(m - 1)**2*(m + 1)**2
Let j(u) be the first derivative of u**3/3 + u**2 - 8*u - 2. Determine g so that j(g) = 0.
-4, 2
Let z(o) be the third derivative of -o**2 + 0*o + 1/105*o**7 + 0 - 1/3*o**4 + 1/5*o**5 + 1/3*o**3 - 1/15*o**6. Find d, given that z(d) = 0.
1
Let m = 71/110 + -8/55. Suppose 1/2*n**3 + m*n**2 - 1/2*n - 1/2 = 0. What is n?
-1, 1
Let h(w) be the second derivative of 1/105*w**6 + 1/21*w**3 + 0 + 1/14*w**4 + 0*w**2 + 3*w + 3/70*w**5. Factor h(g).
2*g*(g + 1)**3/7
Let c(r) be the third derivative of r**7/7560 - r**6/720 + r**5/180 - r**4/24 + r**2. Let x(d) be the second derivative of c(d). What is o in x(o) = 0?
1, 2
Let n(w) be the third derivative of w**6/360 - w**5/180 - w**4/72 + w**3/18 - 23*w**2. Let n(i) = 0. What is i?
-1, 1
Suppose 0 = 10*a - 60. Let w(x) be the second derivative of -1/21*x**3 + 1/70*x**5 + 2*x + 0 + 1/105*x**a + 0*x**2 - 1/42*x**4. What is y in w(y) = 0?
-1, 0, 1
Let m = -49 + 148/3. Let l(k) be the first derivative of -2/3*k**3 + 0*k - m*k**6 + 2/5*k**5 - 2 + 0*k**2 + 1/2*k**4. Factor l(r).
-2*r**2*(r - 1)**2*(r + 1)
Let j(y) = -11*y**5 - 17*y**4 - 6*y**3 + 8*y**2 + 17*y. Let k(p) = -5*p**5 - 8*p**4 - 3*p**3 + 4*p**2 + 8*p. Let u(r) = -4*j(r) + 9*k(r). Solve u(i) = 0 for i.
-2, -1, 0, 1
Suppose 34*j**2 + 2*j**4 + 0*j + j - j**4 - j**3 - 35*j**2 = 0. Calculate j.
-1, 0, 1
Let g(w) be the second derivative of -7*w**4/54 + 5*w**3/27 + 2*w**2/9 + 2*w. Factor g(i).
-2*(i - 1)*(7*i + 2)/9
Suppose s - 92 = -s. Let g be 2/(-12) - s/(-36). Determine w so that -8/9*w**3 + 2*w - 20/9*w**2 - 4/9 - g*w**5 + 8/3*w**4 = 0.
-1, 2/5, 1
Let i be (1/50)/(1/4). Let d = 8/25 + i. Factor 0*q**3 + d*q**2 - 2/5*q**4 + 0 - 1/5*q + 1/5*q**5.
q*(q - 1)**3*(q + 1)/5
Let k = 72/175 + -2/175. Factor k*s**2 - 12/5*s + 18/5.
2*(s - 3)**2/5
Let o = -212 + 1910/9. Let i = 59 - 57. Determine q, given that o*q**i + 2/9*q - 4/9 = 0.
-2, 1
Let q(h) be the first derivative of -h**2 + 4 - 1/2*h**4 + 0*h - 4/3*h**3. Factor q(j).
-2*j*(j + 1)**2
Let j(m) be the second derivative of -m**4/21 + 8*m**3/7 - 72*m**2/7 + 7*m. Suppose j(i) = 0. Calculate i.
6
Let x(v) be the first derivative of v**6/6 - v**5/5 - 3*v**4/4 + v**3/3 + v**2 - 2. Let x(m) = 0. Calculate m.
-1, 0, 1, 2
Let v(n) be the third derivative of -n**6/135 - 7*n**5/180 + n**4/18 - n**3/3 + 3*n**2. Let d(c) be the first derivative of v(c). Let d(h) = 0. Calculate h.
-2, 1/4
Let f(w) = 10*w**2 - 175*w + 10. Let y(s) = s**2 - 16*s + 1. Let n(g) = 6*f(g) - 65*y(g). Suppose n(z) = 0. What is z?
-1
Let a = 23 + -20. What is u in 3/2*u**4 + 0 + 3/4*u + 15/4*u**a + 3*u**2 = 0?
-1, -1/2, 0
Let l(i) = -i**2 + 6*i - 3. Let d be l(5). Suppose -4*n = -4, d*n = -5*u + 31 - 9. Solve -3/4*h**3 - 1/4*h**2 - 1/4*h**5 + 0*h + 0 - 3/4*h**u = 0 for h.
-1, 0
Let n(o) = -8*o + 4. Let d(y) = -7*y + 4. Let v(b) = -7*d(b) + 6*n(b). Let t be v(6). Solve 2*m**4 - 2 - 2*m**2 + m**4 + 3*m - m**5 - t*m**3 + 1 + 0 = 0.
-1, 1
Let p(o) = o**3 + 2*o**2 - 2*o. Let h(l) = -l**3 - l**2 + 2*l. Let x(u) = 6*h(u) + 4*p(u). Find m, given that x(m) = 0.
-1, 0, 2
Suppose -14 + 8 = -3*y. Let h(r) be the third derivative of 0 + 1/48*r**4 - r**y + 0*r**3 - 1/120*r**5 + 0*r. What is w in h(w) = 0?
0, 1
Let b(f) be the first derivative of -f**5/20 + 3*f**4/4 - 9*f**3/2 + 27*f**2/2 - 81*f/4 + 7. Factor b(v).
-(v - 3)**4/4
Let q(h) be the second derivative of 0 + 2/9*h**2 + 1/9*h**3 + 1/54*h**4 + h. Factor q(s).
2*(s + 1)*(s + 2)/9
Suppose -3*z = -4*v - 6, 3*z = 2*z + 2*v + 2. Solve -z + 10*p**3 + 5*p + 1 + 0 + p**5 - 10*p**2 + 0*p**2 - 5*p**4 = 0.
1
Let r be -1 - 2/(36/(-22)). What is u in 0 + 0*u - 2/9*u**4 + r*u**3 - 2/9*u**5 + 2/9*u**2 = 0?
-1, 0, 1
Let v(y) be the first derivative of 5/3*y**3 - 1 - y**2 + 0*y + 3/4*y**4. Factor v(l).
l*(l + 2)*(3*l - 1)
Solve -5*h + 361*h**2 - 3 - 1 - 362*h**2 = 0.
-4, -1
Let b(y) = -21*y**2 - 81*y - 117. Let w(h) = 5*h**2 + 20*h + 29. Let n = -8 - 1. Let u(r) = n*w(r) - 2*b(r). Find f such that u(f) = 0.
-3
Let k(o) = -16*o**2 - 36*o - 31. Let m(t) = 3*t**2 + 7*t + 6. Let s(j) = -22*j**2 + j - 1. Let p be s(1). Let r(f) = p*m(f) - 4*k(f). Factor r(h).
-2*(h + 1)*(h + 4)
Let b(m) be the first derivative of -m**6/10 - 12*m**5/25 - 9*m**4/10 - 4*m**3/5 - 3*m**2/10 + 2. Factor b(n).
-3*n*(n + 1)**4/5
Suppose 0 = -9*g - 2*g - g