2 - 5*b + 5. Let a be z(5). Let v = -47 - a. Solve 13*g**3 - 12 + v*g - 51*g**2 + 7*g**3 - 5*g**3 = 0.
2/5, 1, 2
Factor -2*l**3 - 16*l - 2*l**4 - 1914 - 30*l**2 + 1946 + 18*l**3.
-2*(l - 4)**2*(l - 1)*(l + 1)
Factor -5*u + 6 + 3*u**2 - 3*u - u.
3*(u - 2)*(u - 1)
Let x(z) = -11*z**3 - z - 6. Let u(c) = 12*c**3 + 2*c + 7. Let q(f) = 6*u(f) + 7*x(f). Suppose q(w) = 0. What is w?
-1, 0, 1
Let l(n) be the third derivative of -n**8/560 + 4*n**7/525 - 7*n**6/600 + n**5/150 - 2*n**2. Find g, given that l(g) = 0.
0, 2/3, 1
Let c = -5/23 + 68/207. Let v(t) be the second derivative of -3*t + 0*t**2 + 0 + 7/30*t**5 - c*t**4 + 0*t**3. Factor v(w).
2*w**2*(7*w - 2)/3
Let c be 2/5 - (-2)/(-5). Suppose 3*d + 2*t = 9, -6 = -2*d - c*t - 4*t. Find a such that 0*a**3 - 3*a**3 + 4*a**d = 0.
0
Let u(p) be the second derivative of -p**4/12 - 5*p**3/6 - 2*p**2 - 5*p. Solve u(w) = 0.
-4, -1
Let j(o) = -43*o**4 + 240*o**3 - 262*o**2 + 82*o. Let l(x) = 515*x**4 - 2880*x**3 + 3145*x**2 - 985*x. Let v(u) = 25*j(u) + 2*l(u). Factor v(i).
-5*i*(i - 4)*(3*i - 2)**2
Factor -45*d**5 + 6*d**3 + 86*d**5 - 44*d**5 - 3*d.
-3*d*(d - 1)**2*(d + 1)**2
Let h(p) = p**3 + 26*p**2 + 26*p + 25. Let o be h(-25). Factor 0 - 1/2*y**4 + o*y - 1/2*y**3 + 0*y**2.
-y**3*(y + 1)/2
Let b(y) be the first derivative of 2*y**5/25 - 2*y**4/5 + 4*y**3/15 + 4*y**2/5 - 6*y/5 - 8. What is p in b(p) = 0?
-1, 1, 3
Let c(z) be the third derivative of z**9/30240 - z**8/5040 + z**7/2520 - z**5/15 - 4*z**2. Let k(a) be the third derivative of c(a). Factor k(n).
2*n*(n - 1)**2
Let r(w) be the second derivative of 0 + 5/18*w**4 + 1/126*w**7 + 1/18*w**6 - 4*w + 1/6*w**5 + 5/18*w**3 + 1/6*w**2. Suppose r(n) = 0. What is n?
-1
Let g(l) be the first derivative of 0*l**3 - 5 + 1/5*l + 3/5*l**2 - 8/5*l**4. What is d in g(d) = 0?
-1/4, 1/2
Let s = 106 + -317/3. Factor 0*a + s*a**2 - 1/3.
(a - 1)*(a + 1)/3
Factor 0 + 2/3*j + 1/3*j**4 + 4/3*j**3 + 5/3*j**2.
j*(j + 1)**2*(j + 2)/3
Suppose 0 = 5*l + k - 24 - 13, 5*k + 4 = 2*l. Let h(y) = y**2 + 7*y + 6. Let a(x) = -x**2 - 6*x - 5. Let p(v) = l*a(v) + 6*h(v). Let p(c) = 0. Calculate c.
-1, 1
Let n be (-6)/(-18) - 10/(-6). Factor 48*b**2 + 0 - 47*b**n - 1.
(b - 1)*(b + 1)
Suppose 5*a - 14 = -3*y, -2*y + 3 = -2*a - 1. Factor -3 - 8*b + 2*b**2 + y - 8 - 4*b**2.
-2*(b + 2)**2
Suppose -3*k - 38 + 11 = 0. Let c be -6*(k/6 - -1). Let 14*v**3 - 11*v - 10*v**2 + 0*v**c + 7*v = 0. What is v?
-2/7, 0, 1
Suppose -9 = q - d, q - 15 = -5*d - 0*d. Let g be (-112)/(-490)*q/(-2). Factor 6/7*m - 2/7*m**3 + 0*m**2 - g.
-2*(m - 1)**2*(m + 2)/7
Let o = -2 - 4. Let k be ((-1)/(-3))/((-1)/o). Factor -4*c**2 - 3*c**2 + 2*c**4 + 3*c**2 + 4*c**3 - k*c + 2 - 2*c**5.
-2*(c - 1)**3*(c + 1)**2
Let i(p) be the second derivative of -2*p**6/5 - 3*p**5/5 - p**4/4 + 52*p. Let i(q) = 0. Calculate q.
-1/2, 0
Let n(r) = 5 + 2*r**2 + 7*r**2 + 9*r - 7*r**2 + 11*r**2. Let u(m) = -6*m**2 - 5*m - 3. Let b(v) = 6*n(v) + 10*u(v). Factor b(l).
2*l*(9*l + 2)
Factor 14/3*s**4 + 4/3*s**3 + 0*s + 10/3*s**5 + 0*s**2 + 0.
2*s**3*(s + 1)*(5*s + 2)/3
Let q(c) = 56*c**3 - 4*c**2 - 6*c - 8. Let l(f) = -19*f**3 + f**2 + 2*f + 3. Let z(d) = 8*l(d) + 3*q(d). Factor z(v).
2*v*(2*v - 1)*(4*v + 1)
Factor 0 + 0*g - 2/11*g**3 + 14/11*g**2.
-2*g**2*(g - 7)/11
Let d(u) be the second derivative of -u**6/1440 - u**3/3 - 4*u. Let b(j) be the second derivative of d(j). Factor b(n).
-n**2/4
Let n be (-2)/(-4)*(24 - 20). Let g(m) be the second derivative of -2/3*m**3 - 1/6*m**4 + m - m**n + 0. Factor g(c).
-2*(c + 1)**2
Let a(i) be the third derivative of i**8/672 + i**7/105 - i**6/120 - i**5/10 + 3*i**4/16 - 8*i**2. Factor a(p).
p*(p - 1)**2*(p + 3)**2/2
Let g(t) be the third derivative of -t**8/20160 + t**7/3780 + 7*t**4/24 + 4*t**2. Let i(l) be the second derivative of g(l). Suppose i(c) = 0. What is c?
0, 2
Let h(n) be the first derivative of n**4/2 + 2*n**3/3 + 2. Factor h(c).
2*c**2*(c + 1)
Let x(o) be the first derivative of -1/6*o + 1 - 1/18*o**3 - 1/6*o**2. Suppose x(j) = 0. What is j?
-1
Let s(i) be the third derivative of -1/100*i**5 + 0*i + 0*i**6 - 1/60*i**4 - 4*i**2 + 0 + 0*i**3 + 1/1050*i**7. Factor s(h).
h*(h - 2)*(h + 1)**2/5
Let c be 14/(-4)*10/22. Let g = -12/11 - c. Factor 1/2*n**3 - 1/2 + 1/2*n**2 - g*n.
(n - 1)*(n + 1)**2/2
Suppose -5*q - 10 + 2 = -4*p, -p + q = -2. Suppose 4*f + 28 = 2*k, 2*k - p*f = 14 + 4. Let 1 - 3 + k*s - 2*s**2 + 0*s = 0. Calculate s.
1
Determine h so that -2*h**2 - 4 - 7*h - 12*h**3 + 3 - 14*h**2 = 0.
-1/2, -1/3
Let c(g) be the first derivative of -g**6/180 + g**4/36 + 3*g**2 - 6. Let h(v) be the second derivative of c(v). Factor h(n).
-2*n*(n - 1)*(n + 1)/3
Let i(t) = t**2 - 10*t + 2. Let j be i(10). Suppose -17*d = -16*d. Factor -j*k**3 + 0 + 4/3*k**4 + 2/3*k + d*k**2.
2*k*(k - 1)**2*(2*k + 1)/3
Let a(h) be the first derivative of h**9/3024 + h**8/1680 - h**7/840 - h**6/360 + h**3/3 - 3. Let k(n) be the third derivative of a(n). Factor k(x).
x**2*(x - 1)*(x + 1)**2
Let n(j) be the third derivative of 1/105*j**6 + 0*j**4 - 4/735*j**7 + 0 + 0*j**3 - 3*j**2 + 0*j**5 + 0*j + 1/1176*j**8. Factor n(f).
2*f**3*(f - 2)**2/7
Let m(v) be the first derivative of -2*v**3/51 + 7*v**2/17 - 20*v/17 - 3. Factor m(u).
-2*(u - 5)*(u - 2)/17
Let y(v) be the first derivative of 1 + 0*v + 0*v**2 + 1/720*v**6 + 2/3*v**3 - 1/80*v**5 + 1/24*v**4. Let p(q) be the third derivative of y(q). Solve p(s) = 0.
1, 2
Let a(u) be the third derivative of 33*u**7/175 - 97*u**6/150 + 29*u**5/50 + u**4/5 - 4*u**3/15 - 20*u**2. Suppose a(t) = 0. Calculate t.
-2/9, 2/11, 1
Let r(t) = t**2 - t - 3. Let q be r(3). Factor 6*h**2 + h**3 + 6*h + h**q + 3 - 1.
2*(h + 1)**3
Let f = -331 + 333. Factor -6/5 + 3/5*y**f + 3/5*y.
3*(y - 1)*(y + 2)/5
Let n(m) be the second derivative of 0 - 2*m + 1/30*m**5 + 0*m**2 + 5/54*m**4 + 2/27*m**3. Determine j, given that n(j) = 0.
-1, -2/3, 0
Suppose 3*t = -3*i + 3, 5*t - 1 - 16 = i. Let k(u) be the second derivative of 1/3*u**t + 2/5*u**2 + 1/10*u**4 + 3*u + 0. Factor k(r).
2*(r + 1)*(3*r + 2)/5
Let f(s) be the third derivative of s**6/180 + 7*s**5/270 + 5*s**4/108 + s**3/27 + 6*s**2 + s. Suppose f(b) = 0. Calculate b.
-1, -1/3
Let k(j) be the first derivative of -j**4/14 - 4*j**3/7 - 9*j**2/7 - 8*j/7 + 34. Factor k(a).
-2*(a + 1)**2*(a + 4)/7
Let j be (-4)/(-18) - (-4796)/4905. Solve j*h + 2/5*h**3 + 6/5*h**2 + 2/5 = 0.
-1
Suppose -15 = -4*l - l. Let g = l - 1. Determine y, given that 2*y**g + 0 + 2/3*y + 2/3*y**4 + 2*y**3 = 0.
-1, 0
Let c(u) be the third derivative of u**6/900 - u**4/60 + 2*u**3/45 - u**2. Factor c(h).
2*(h - 1)**2*(h + 2)/15
Let m be (-2)/(-12) - (-10)/12. Let c be ((-80)/12)/((-8)/12). Let 20*a**3 + 2*a**5 + 20*a**2 + 1 + 10*a + m + 0*a**5 + c*a**4 = 0. Calculate a.
-1
Let p(d) be the second derivative of d**6/20 + 3*d**5/40 - d**4/8 - d**3/4 - 11*d. Factor p(g).
3*g*(g - 1)*(g + 1)**2/2
Factor -4*m**5 + 8*m**2 - 10*m**3 + 1 + 2*m**3 + 3 + 12*m - 12*m**4.
-4*(m - 1)*(m + 1)**4
Let q(h) be the third derivative of h**5/90 - 5*h**4/24 - 4*h**3/9 + 26*h**2. Factor q(z).
(z - 8)*(2*z + 1)/3
Let p be (5 - 7)*6/(-4). Let m be 16/42 + 10/35. Let 2/3*s**2 + 10/3*s**p + 0 - 2*s**5 - m*s**4 - 4/3*s = 0. Calculate s.
-1, 0, 2/3, 1
Let w(u) = -7*u + 14. Let a(z) = -20*z + 41. Let h(o) = -4*a(o) + 11*w(o). Let f be h(4). Suppose -1/3*j + j**f + 1/3*j**3 + 0 - j**4 = 0. What is j?
-1, 0, 1/3, 1
Suppose -s - 4*v + 20 = -v, 5*s - 40 = -3*v. Let l be (0 - -1) + (s - 4). Let 2/5*k + 2/5*k**l - 2/5*k**4 - 2/5*k**3 + 0 = 0. What is k?
-1, 0, 1
Let z(l) be the third derivative of -l**8/84 - 2*l**7/105 + l**6/15 + 2*l**5/15 - l**4/6 - 2*l**3/3 + 2*l**2. Factor z(s).
-4*(s - 1)**2*(s + 1)**3
Let c(d) be the third derivative of d**8/896 - d**7/112 + d**6/32 - d**5/16 + 5*d**4/64 - d**3/16 + 2*d**2. Suppose c(k) = 0. What is k?
1
Suppose -24 = -4*t + 8*x - 4*x, 0 = -2*t + 3*x + 15. Let z(g) be the first derivative of -2 - 1/6*g**4 + 0*g + 1/3*g**2 + 0*g**t. What is c in z(c) = 0?
-1, 0, 1
Let a = -5 + 8. Suppose 3*p = 6, a*z = p + 2 + 2. Factor -4*d**4 + 4*d**2 - 2*d + 0*d**4 + 0 + z*d**5 + 0.
2*d*(d - 1)**3*(d + 1)
Determine m, given that -m - 2*m + 2*m**2 - m**2 + 4*m = 0.
-1, 0
Let i be 5/((3 - 4)*-1). Suppose 3*b - 3*k - 2*k = -11, i*k = -3*b + 29. Factor 6*l**2 - 2*l + 0*l**b + l**3 - l**2 - 4*l**2.
l*