he third derivative of 0*i - i**2 + 1/30*i**5 - 1/48*i**4 + 0*i**3 + 0. Factor h(l).
l*(4*l - 1)/2
Let m be 78/12 + -5 - 1. Factor 2/3*r + 2/3*r**2 - m*r**3 + 0.
-r*(r - 2)*(3*r + 2)/6
Let a(r) = 3*r - 1. Let x be a(1). Factor -2*o**4 + 0 - 6*o**x - 6*o**3 - 2*o + 0.
-2*o*(o + 1)**3
Let m(j) be the third derivative of -1/200*j**6 + 1/40*j**4 + 0 - 4*j**2 - 1/300*j**5 - 1/1050*j**7 + 0*j + 1/15*j**3. Determine h, given that m(h) = 0.
-2, -1, 1
Let n(d) = -6*d**2 + 6*d. Let h(y) = 3 - 3 + 4*y**2 + 6*y - 10*y. Let q(w) = -8*h(w) - 5*n(w). Factor q(l).
-2*l*(l - 1)
Let g(s) = s. Let x(d) = -4*d - 1. Let m(o) = 3*g(o) + x(o). Let i be m(-7). Solve i*a**2 + 2/3 - 4*a = 0 for a.
1/3
Let d(o) be the second derivative of o**6/15 + o**5/10 - o**4/3 - 2*o - 15. Factor d(p).
2*p**2*(p - 1)*(p + 2)
Let q be (-9*1 + 0)*-1. Let f be 6*(-2 - (-21)/q). Let -h + 1/2 + 1/2*h**f = 0. What is h?
1
Factor 8/3*c**3 - 28/9*c - 8/9*c**2 - 4/3 + 20/9*c**4 + 4/9*c**5.
4*(c - 1)*(c + 1)**3*(c + 3)/9
Factor -4/5*p**2 + 0 - 7/10*p**3 - 1/10*p**4 + 8/5*p.
-p*(p - 1)*(p + 4)**2/10
Solve -17/6*y**2 - 7/6*y**3 - 1 - 1/6*y**4 - 17/6*y = 0.
-3, -2, -1
Let p be (-8)/6 + 2/6. Let a(b) = -2*b**4 - 3*b**2. Let o be -1 - 1 - (-3 + 4). Let j(x) = x**4 + x**2. Let c(f) = o*j(f) + p*a(f). Let c(s) = 0. Calculate s.
0
Suppose -3 - 1/2*u + 1/2*u**2 = 0. Calculate u.
-2, 3
Let g(b) be the first derivative of 6 + 1/3*b**4 + 0*b**5 - 1/18*b**6 + 0*b**3 + 0*b**2 + 0*b. Factor g(k).
-k**3*(k - 2)*(k + 2)/3
Let o = -32 - -32. Let b(p) be the second derivative of 0*p**3 + o - 1/8*p**2 + 2*p + 1/48*p**4. Determine v so that b(v) = 0.
-1, 1
Let c(g) be the second derivative of g**6/30 - g**5/20 - g**4/12 + g**3/6 - 14*g. Factor c(u).
u*(u - 1)**2*(u + 1)
Let a(w) be the first derivative of 1/12*w**6 - 1/6*w**3 - 2 + 1/10*w**5 + 1/2*w**2 - 3/8*w**4 + 0*w. Suppose a(l) = 0. Calculate l.
-2, -1, 0, 1
Suppose 4*u + 5*o + 5 = 0, 0 = u + 2*u + 5*o + 5. Let i(p) be the second derivative of 1/6*p**3 + 0 - 1/12*p**4 + u*p**2 - p. Factor i(t).
-t*(t - 1)
Let u(f) be the first derivative of -f**6/18 + f**5/5 - f**4/4 + f**3/9 + 20. Factor u(i).
-i**2*(i - 1)**3/3
Suppose 25*v**2 - 2 - 35*v + 0 + 0 + 12 = 0. What is v?
2/5, 1
Solve 8/9*k + 110/9*k**3 + 0 - 56/9*k**2 - 14/3*k**4 = 0.
0, 2/7, 1/3, 2
Let t be (-95)/(-15) + 3/(-3) + -4. Suppose -2*z**4 + 2/3*z**5 - 2*z + 2/3 + 4/3*z**2 + t*z**3 = 0. Calculate z.
-1, 1
Let t = 206 - 1024/5. Factor 3/5*p + t*p**2 - 6/5*p**4 + 0*p**3 + 0 - 3/5*p**5.
-3*p*(p - 1)*(p + 1)**3/5
Suppose 3*o - 14 = -2*q, -5*q = -4*o - 2*q + 30. Let f be 17/30 - o/36. Determine w, given that f*w**2 + 8/5*w**3 + 0 + 0*w + 4/5*w**5 + 2*w**4 = 0.
-1, -1/2, 0
Factor 1/2*k**4 + 0 - 1/4*k**5 + 0*k + 0*k**2 + 0*k**3.
-k**4*(k - 2)/4
Let d(z) be the third derivative of -z**2 + 1/60*z**4 - 1/30*z**3 + 0 - 1/300*z**5 + 0*z. Factor d(o).
-(o - 1)**2/5
Suppose -2*a - 3*a = 0. Suppose a = -0*u - u. Factor -1/3*f**2 - 1/3*f + u.
-f*(f + 1)/3
Let u = 702 - 4898/7. Factor 8/7 + u*l + 2/7*l**3 + 10/7*l**2.
2*(l + 1)*(l + 2)**2/7
Let i = -30 - 42. Let x = -281/4 - i. Solve -1/2*c**3 + 7/4*c**4 + 1/2*c - x*c**2 + 0 = 0.
-1, 0, 2/7, 1
Let p be 0/(-2 + 0 + 1). Suppose 3*n - 7*n + 20 = p. Let -8*l**4 - 16*l**n + 7*l**2 + l - 4*l**2 + 5*l**2 + 15*l**3 = 0. Calculate l.
-1, -1/4, 0, 1
Let x(t) be the third derivative of t**8/2520 + t**7/630 - t**5/90 - t**4/36 - t**3/2 + t**2. Let h(d) be the first derivative of x(d). Factor h(k).
2*(k - 1)*(k + 1)**3/3
Let a(c) = 6*c**3 - 5*c**2 + 6*c - 4. Let f be a(1). What is w in 0*w - 2*w**4 + 2*w**f + 0 + 0*w**2 + 1/2*w**5 = 0?
0, 2
Let g = 502/5 + -100. Factor 0 + g*l + 2/5*l**2.
2*l*(l + 1)/5
Let c(h) = 45*h**4 + 10*h**3 - 55*h**2 - 15*h + 5. Let g(i) = -23*i**4 - 5*i**3 + 27*i**2 + 7*i - 2. Let r(m) = 2*c(m) + 5*g(m). Factor r(s).
-5*s*(s - 1)*(s + 1)*(5*s + 1)
Let g be ((-9)/6)/(36/(-32)). Determine y so that 0 + 4/3*y**2 - 2/3*y + 2/3*y**5 + 0*y**3 - g*y**4 = 0.
-1, 0, 1
Let x(h) = -h**2 + 7*h + 5. Let a(u) = -u**2 - 6*u**2 + 14 + 5*u**2 + 20*u. Let j(k) = 3*a(k) - 8*x(k). Suppose j(o) = 0. What is o?
-1
Let u(m) be the second derivative of -m**3/6 + 2*m**2 - 2*m. Let q be u(2). Let -a**4 - 3*a**4 + 2*a - 2*a**3 + q*a**4 + 2*a**2 = 0. Calculate a.
-1, 0, 1
Let d(v) be the third derivative of 1/60*v**5 - 1/180*v**6 + 0 + 2*v**2 + 0*v + 1/6*v**3 + 0*v**4. Let q(a) be the first derivative of d(a). Factor q(o).
-2*o*(o - 1)
Suppose 0 - 10/7*y**3 - 8/7*y**2 + 2/7*y = 0. What is y?
-1, 0, 1/5
Let j = 15/2 - 7. Suppose 12*t + 2*z + 4 = 10*t, 2*t = 2*z + 4. Determine x, given that -x**3 - j*x**2 + 0 - 1/2*x**4 + t*x = 0.
-1, 0
Let i(a) be the first derivative of -a**6/27 + a**4/9 - a**2/9 - 4. Factor i(x).
-2*x*(x - 1)**2*(x + 1)**2/9
Let x(j) be the second derivative of -j**5/10 + j**4 - 11*j**3/3 + 6*j**2 + 11*j. Solve x(w) = 0 for w.
1, 2, 3
Let p(i) be the first derivative of 0*i**3 + 1/10*i**5 + 0*i**2 + 2 - 1/6*i**4 + 4*i. Let n(k) be the first derivative of p(k). What is v in n(v) = 0?
0, 1
Suppose -2*b + 5*b = 6. Let z be 1/(-1) - 3*-2. Suppose -2*i**2 - i**3 + 2*i**4 - i**z + i**b - i**4 + 2*i**5 = 0. Calculate i.
-1, 0, 1
Let m(l) be the third derivative of l**6/40 - l**5/30 - l**4/24 - 9*l**2. Factor m(z).
z*(z - 1)*(3*z + 1)
Let i(m) = 3*m**2 - m + 2. Let t(v) = 10*v**2 - 3*v + 7. Let o(l) = -21*i(l) + 6*t(l). Let o(s) = 0. What is s?
0, 1
Let g(i) be the first derivative of -49*i**4 - 168*i**3 - 120*i**2 - 32*i - 1. Factor g(m).
-4*(m + 2)*(7*m + 2)**2
Let n be 1/5*40/12 - 0. Let z be (-2)/(-4)*(-4)/(-3). Factor 2/3*b**2 + z*b**3 - n*b - 2/3.
2*(b - 1)*(b + 1)**2/3
Let r be -6*(60/8)/(-5). Solve r*z**2 - 3*z**2 + 3*z + 4*z**2 + 8*z**3 - z = 0 for z.
-1, -1/4, 0
Factor 64/7*k - 2/7*k**2 - 512/7.
-2*(k - 16)**2/7
Let t(y) be the first derivative of 4/21*y**3 - 1/42*y**4 - 4/7*y**2 - 1 - y. Let l(o) be the first derivative of t(o). Factor l(g).
-2*(g - 2)**2/7
Let p = 49 + -47. Solve 0 - 2/9*s**p - 4/9*s = 0 for s.
-2, 0
Suppose 2*i - 5 = -s, -2*s + 0 - 4 = -3*i. Let v(a) be the second derivative of 0*a**3 + 0*a**i + a + 0 + 1/20*a**5 + 0*a**4. Factor v(p).
p**3
Suppose 5*v + 26 = 3*q, 2*q - 3*v = -2*q + 20. Suppose 0*z**3 + 0*z + 0 + 1/2*z**q - 1/2*z**4 = 0. What is z?
-1, 0, 1
Let c be 8/52 - 6/39. Determine w, given that 1/6*w**2 + c - 1/6*w = 0.
0, 1
Let o(v) be the third derivative of -v**6/540 - 2*v**5/135 - v**4/27 - 5*v**2. Suppose o(i) = 0. What is i?
-2, 0
Let x(j) be the second derivative of 1/30*j**4 + 0 + 4*j + 4/5*j**2 - 4/15*j**3. Find m such that x(m) = 0.
2
Factor -4 + 5 + 6*i**2 - 7*i**2.
-(i - 1)*(i + 1)
Find f, given that 0*f - 15/7*f**4 - 12/7*f**2 - 36/7*f**3 + 0 = 0.
-2, -2/5, 0
Suppose 0 = -4*h + 5*t - 8, 3*h - 3*t + 9 = 2*h. Let a(n) be the first derivative of -n**2 + 13/2*n**4 - 4*n + 2*n**5 + 6*n**h - 1. Let a(q) = 0. Calculate q.
-1, 2/5
Let p(q) be the third derivative of q**5/20 - q**4/4 + 19*q**2. Factor p(z).
3*z*(z - 2)
Let z = 101/156 + 4/39. Factor -z + 0*y + 3/4*y**2.
3*(y - 1)*(y + 1)/4
Determine c so that -8 + 4*c**2 - 7*c**2 - 9*c - 3*c**3 + 35 - 12*c**2 = 0.
-3, 1
Let u(m) be the third derivative of -m**6/540 + m**5/135 - 13*m**2. Factor u(p).
-2*p**2*(p - 2)/9
Let p(j) be the second derivative of -j**4 + j**3 + 0 - 3/8*j**5 + 7*j + 0*j**2. Determine h so that p(h) = 0.
-2, 0, 2/5
Suppose -i = -0*i. Let g(r) be the second derivative of 0*r**3 + 1/20*r**5 - 1/12*r**4 + r + i*r**2 + 0. What is j in g(j) = 0?
0, 1
Let q be (24/15)/(72/(-220)). Let g = q - -502/99. Find l such that 0 - 2/11*l**3 - 4/11*l**2 - g*l = 0.
-1, 0
Let v(h) = h**3 + 4*h**2 - 6*h - 2. Let m be v(-5). Factor -2*y**2 + 8 - 13*y**m + 4*y**4 + 14*y**3 - 4*y - 8*y**2 + y**5.
(y - 1)**2*(y + 2)**3
Factor w - w**2 + 0*w**2 - w + w**3 - 2*w.
w*(w - 2)*(w + 1)
Let i(m) be the second derivative of -m**6/60 + 3*m**5/20 - m**4/2 + 5*m**3/6 - 3*m**2/4 + 8*m. Factor i(t).
-(t - 3)*(t - 1)**3/2
Let z(n) be the first derivative of -n**9/6048 - n**8/1680 - n**7/1680 - 5*n**3/3 - 4. Let p(o) be the third derivative of z(o). Let p(x) = 0. What is x?
-1, 0
Let t(k) be the first derivative of 4 + 1/3*k**3 - 4*k**2 - k**5 + 4*k + 7/4*k**4 + 1/6*k**6. Determine h so that t(h) = 0.
-1, 1, 2
Let r(v) = -12*v + 12. Let g(q) = q**2 - 13*q + 12. Let z(m) = 4*g(m) - 6*r(m). Fact