+ 0*n**3 + 0*n - 2 + 0*n**2. Factor k(u).
-3*u**3
Let m(a) be the third derivative of -a**7/2800 + a**6/1800 - 13*a**3/6 + 3*a**2. Let t(w) be the first derivative of m(w). Factor t(i).
-i**2*(3*i - 2)/10
Let f(w) be the second derivative of w**6/120 + w**5/20 - 2*w**3/3 - 15*w**2/2 - 3*w. Let t(o) be the first derivative of f(o). Factor t(v).
(v - 1)*(v + 2)**2
Let a(v) = -15*v**5 - 180*v**4 - 1008*v**3 - 1008*v**2 + 4269*v - 2052. Let u(r) = r**5 + r**4 - r**3 - r - 1. Let m(l) = -a(l) - 6*u(l). Factor m(i).
3*(i - 1)*(i + 7)**3*(3*i - 2)
Let u = -154 - -159. Let n(k) be the second derivative of 12*k**4 - 9/14*k**7 - 39/20*k**u + 6*k**3 - 24*k**2 - 21/5*k**6 - 6*k + 0. Solve n(h) = 0.
-4, -1, 2/3
Let z = 2987 - 2982. Solve 2*w**2 + 3*w**3 + 1/2*w + 1/2*w**z + 0 + 2*w**4 = 0.
-1, 0
Let n(b) be the third derivative of -4*b**7/105 + 25*b**6/108 + 91*b**5/270 - 31*b**4/54 + 8*b**3/27 - 104*b**2. What is u in n(u) = 0?
-1, 2/9, 1/4, 4
Let h(p) = p + 4. Let y be h(-5). Let b be (y/4)/((-10)/80). Let 3 - 2*n**2 + 4 - 3 + b*n = 0. Calculate n.
-1, 2
Factor 14*v**4 + 18*v**2 - 24*v**3 + 204*v**5 - 6*v**3 - 206*v**5.
-2*v**2*(v - 3)**2*(v - 1)
Let y(k) = 2*k**2 + 15*k + 15. Let a(s) = s**2 + 7*s + 7. Suppose 5*t - 36 = -11. Suppose 2 = -v + t. Let r(l) = v*y(l) - 7*a(l). Factor r(j).
-(j + 2)**2
Let t(h) be the third derivative of -1/20*h**5 + 0 + 1/70*h**7 + 0*h**3 - 1/40*h**6 + 1/112*h**8 + 0*h**4 + 0*h + 2*h**2. Find k, given that t(k) = 0.
-1, 0, 1
Solve 3/5*b - 3/5*b**2 + 36/5 = 0 for b.
-3, 4
Let b(f) be the second derivative of 0*f**2 + 0*f**5 + 0*f**3 - 1/63*f**7 + 0 + 0*f**4 - 1/45*f**6 + 6*f. Factor b(h).
-2*h**4*(h + 1)/3
Let s(h) be the third derivative of -h**4/24 - h**3/2 - 7*h**2. Let l be s(-6). What is g in 0*g**4 + 4*g**4 - 4*g**2 - 4*g**l + 0*g + 2*g + 2*g = 0?
-1, 0, 1
Let 119/6*f**2 + 77/3*f - 11/6*f**3 + 4 = 0. Calculate f.
-1, -2/11, 12
Let 50/11*a**2 + 2/11*a**4 + 0 - 52/11*a**3 + 0*a = 0. What is a?
0, 1, 25
Let h be (-5)/((-280)/348)*1/(-6). Let b = h - -9/7. Let 0 - b*u + 1/4*u**2 - 1/4*u**4 + 1/4*u**3 = 0. Calculate u.
-1, 0, 1
Let b(f) = f**5 - f**4 + f**2 - f. Let q(o) = 14*o**5 - 54*o**4 + 16*o**3 + 2*o**2 - 2*o. Let r(c) = -2*b(c) + q(c). Factor r(p).
4*p**3*(p - 4)*(3*p - 1)
Let h(b) be the third derivative of b**5/570 - 4*b**4/57 + 5*b**3/19 - 19*b**2 - 4*b. Suppose h(q) = 0. Calculate q.
1, 15
Let d(m) = -m**2 + 5*m + 8. Let u be d(6). Suppose -3*l = u*z, -5*z + 10*z = 2*l. Suppose l - 3/2*a + 3*a**2 - 3/2*a**3 = 0. What is a?
0, 1
Let x = 2 + 0. Suppose t = -3*p + 10, 2*p = -t + 7 - 0. Factor -21/8*i**3 - 1/2 - 41/8*i**x - p*i.
-(i + 1)*(3*i + 2)*(7*i + 2)/8
Suppose 4*y + j - 6*j = 25, 4*y = 2*j + 10. Factor 0*t**2 - 4/5*t**5 + 4/5*t**3 + 0*t**4 + 0*t + y.
-4*t**3*(t - 1)*(t + 1)/5
Let z(t) be the first derivative of t**9/36288 - t**8/3360 + t**7/1120 - 5*t**3 - 37. Let y(c) be the third derivative of z(c). Factor y(q).
q**3*(q - 3)**2/12
Let d(v) = v**2 - 4*v - 37. Let l be d(8). Let m be 4/(-21)*((-8)/(-4) + l). Suppose m*b**2 + 0*b + 0 + 6/7*b**3 + 2/7*b**4 = 0. What is b?
-2, -1, 0
Factor -14*y + 63*y**2 + 5*y**3 + 3*y**2 - 8 - 49*y**2.
(y - 1)*(y + 4)*(5*y + 2)
Let z = 19490/143 + -1656/13. Suppose -z - 2/11*q**2 - 28/11*q = 0. Calculate q.
-7
Let v(p) be the second derivative of -3/40*p**5 + 1/4*p**3 + 0*p**2 - 6*p + 1/12*p**6 - 5/24*p**4 + 0. Factor v(j).
j*(j - 1)*(j + 1)*(5*j - 3)/2
What is m in -12/5*m**5 - 84/5*m**2 + 48/5 + 18/5*m**4 + 66/5*m**3 - 72/5*m = 0?
-2, -1, 1/2, 2
Let d = 1 - 4. Let x be d/(-1 - 4/8). Factor 0*m**2 - 5*m**3 + 3*m**3 + m**x + 3*m**2 - 2*m.
-2*m*(m - 1)**2
Let j(y) = -5*y**3 + 5*y**2 - 6*y. Let v be 8/(-3)*12/8. Let k(g) = -4*g**3 + 6*g**2 - 6*g. Let w(b) = v*j(b) + 6*k(b). Solve w(u) = 0.
0, 1, 3
Find k such that 1/2*k**2 + 5625/2 - 75*k = 0.
75
Let r(b) = -12*b**4 + 27*b**3 - 18*b**2 + 3*b. Let n(g) = -g**5 - 35*g**4 + 81*g**3 - 53*g**2 + 8*g. Let i(m) = 3*n(m) - 10*r(m). Suppose i(l) = 0. What is l?
0, 1, 2
Suppose 9*s - 1 = 17. Let v be (-2)/6 + (-14)/(-6). Suppose m**v - 2*m + s*m + 0*m = 0. Calculate m.
0
Let c = -24738 + 24741. Let -6*j**4 - 32*j**2 + 0*j + 0 - 24*j**c - 1/2*j**5 = 0. Calculate j.
-4, 0
Let l(h) be the first derivative of 2*h**3/3 - 63*h**2 + 124*h + 15. Find j, given that l(j) = 0.
1, 62
Let h(g) be the second derivative of -g**5/90 + 7*g**4/27 + g**3/27 - 14*g**2/9 - 5*g. Factor h(i).
-2*(i - 14)*(i - 1)*(i + 1)/9
Let y(b) be the second derivative of b**3 + 20*b + 69/40*b**5 - 1/4*b**7 - 29/8*b**4 + 3*b**2 + 0 + 1/4*b**6. Solve y(r) = 0.
-2, -2/7, 1
Let q(o) = -70*o**2 + 3515*o - 1750. Let v(l) = -10*l**2 + 502*l - 250. Let d(j) = -3*q(j) + 20*v(j). Factor d(i).
5*(i - 50)*(2*i - 1)
Find n, given that 18*n + 81/4*n**4 + 165/4*n**3 + 159/4*n**2 + 15/4*n**5 + 3 = 0.
-2, -1, -2/5
Let m be (6/7)/(64/896)*(-6)/(-10). Suppose -4/5*v**5 + 72/5*v**2 + m*v**4 - 104/5*v**3 - 108/5 + 108/5*v = 0. What is v?
-1, 1, 3
Let r(z) be the first derivative of 3*z**5/5 + 21*z**4/4 - 3*z**3 - 165*z**2/2 + 150*z + 438. Factor r(x).
3*(x - 2)*(x - 1)*(x + 5)**2
Let v(f) = -29*f**2 - 11*f + 391. Let t(y) = -7*y**2 - 3*y + 98. Let i(z) = 9*t(z) - 2*v(z). What is o in i(o) = 0?
-5, 4
Let o(n) = -n**2. Suppose -9*f + 6 = -12*f. Let h(p) = -2*p. Let v(i) = f*o(i) - h(i). Factor v(s).
2*s*(s + 1)
Let q(c) = -c**2 + c. Let d = -7 + 7. Let b be q(d). Suppose -8*v**4 - 2*v - 6*v**3 + 0*v**3 + b*v - 10*v**2 + 26*v**4 = 0. Calculate v.
-1/3, 0, 1
Let 400 + 1/4*w**5 + 1180*w + 1363/4*w**3 - 77/4*w**4 + 4561/4*w**2 = 0. What is w?
-1, 40
Let z(x) be the third derivative of 1/12*x**4 + 0 + 0*x**3 + 0*x - 1/30*x**5 - 4*x**2. What is f in z(f) = 0?
0, 1
Let w(o) be the second derivative of o**4/48 - 3*o**3 + 162*o**2 + 864*o. Determine z so that w(z) = 0.
36
Let q(i) be the second derivative of i**6/2160 + i**5/720 - 5*i**3/6 + 6*i. Let m(s) be the second derivative of q(s). Factor m(g).
g*(g + 1)/6
Let x(r) be the first derivative of -r**7/490 - r**6/280 + 13*r**2 - r + 2. Let l(v) be the second derivative of x(v). Let l(y) = 0. Calculate y.
-1, 0
Let q(d) = 39*d**2 - 9*d - 18. Let m(v) = 2*v**2 - 1. Let j(l) = 18*m(l) - q(l). Factor j(n).
-3*n*(n - 3)
Determine q so that 0 + 6/5*q - 2/5*q**3 - 14/5*q**4 + 14/5*q**2 - 4/5*q**5 = 0.
-3, -1, -1/2, 0, 1
Let n(s) be the third derivative of -3*s**5/5 + 280*s**4/3 - 248*s**3/3 - 3*s**2 + 50*s. Factor n(w).
-4*(w - 62)*(9*w - 2)
Let f(k) be the third derivative of -k**6/30 - k**5/10 - k**4/12 - 56*k**2. Solve f(q) = 0 for q.
-1, -1/2, 0
Let b(o) = 2*o**2 - 10*o - 2. Let l(d) = -d**2 + d - 1. Let s(m) = -4*m**2 + 14*m. Let h(c) = 3*l(c) - s(c). Let i(v) = 3*b(v) - 2*h(v). Factor i(x).
4*x*(x - 2)
Let b(d) be the second derivative of 19*d + 0 + 1/84*d**4 - 2/21*d**3 + 2/7*d**2. Suppose b(o) = 0. Calculate o.
2
Suppose 0 = 3*w - 6. Factor 11*m**3 + 2*m**w + 2*m**2 + 9*m**3 + 28*m**4 - 12*m**4.
4*m**2*(m + 1)*(4*m + 1)
Suppose 0 = j + 3*d + 18, -3*j + 183*d = 178*d - 30. Determine r so that 0*r + j + 0*r**2 - 2/3*r**3 + 1/3*r**5 - 1/3*r**4 = 0.
-1, 0, 2
Factor 109*z**2 + 62*z**2 + 5*z**3 + 130*z - 36*z**2.
5*z*(z + 1)*(z + 26)
Let l(k) = -125*k**3 - 740*k**2 - 1680*k - 1345. Let s(b) = 9*b**3 + 53*b**2 + 120*b + 96. Let q(f) = 4*l(f) + 55*s(f). Factor q(d).
-5*(d + 2)**2*(d + 5)
Suppose 0 = 301*z + 466 - 1068. What is s in 4/3*s**3 + 2/3*s**4 + 2 - 4/3*s - 8/3*s**z = 0?
-3, -1, 1
Suppose 5*o - 4*t + 4 = 21, 5*t - 40 = -6*o. Solve -3/2*r**o - 21/2*r**2 + 0 - 27/2*r**3 - 3*r - 15/2*r**4 = 0.
-2, -1, 0
Let o be 27/(-18)*((-160)/(-65))/(-4). Factor 8/13*n**2 + 8/13*n**4 - 2/13*n + 0 - 2/13*n**5 - o*n**3.
-2*n*(n - 1)**4/13
Let r = 2/129 - -3467/1032. Suppose r - 3/8*x**2 - 3*x = 0. Calculate x.
-9, 1
Let o(t) = -14*t**2 - 40*t + 3. Let y(v) = 17*v**2 + 40*v - 4. Let j(m) = 4*o(m) + 3*y(m). Factor j(i).
-5*i*(i + 8)
Find p, given that 436*p**4 - 20*p**5 - 132*p**3 + 24*p**2 - 226*p**4 - 32*p**5 - 23*p**5 = 0.
0, 2/5, 2
Let m(y) be the third derivative of -y**5/12 - 5*y**4/24 + 5*y**3/3 - 18*y**2 - 1. Determine x, given that m(x) = 0.
-2, 1
Let t(s) be the first derivative of s**7/105 - s**6/20 + 13*s**2/2 + 5. Let n(b) be the second derivative of t(b). Factor n(d).
2*d**3*(d - 3)
Let i = 2856 - 2852. Factor -77/4*s**3 - 33/2*s**2 - 2 + 13*s + 49/4*s**i