 j**2 + 7. Let m(k) = -b(k) + 4*i(k). Let v(g) = 3*m(g) - 2*o(g). Factor v(l).
-(l + 3)**2
Let w = -14 + 28. Let c = w - 14. Let -5/4*y**3 + 3/4*y**2 + 1/4*y - 3/4*y**4 + c + y**5 = 0. What is y?
-1, -1/4, 0, 1
Let d(j) be the third derivative of j**7/1260 - j**5/40 + j**4/36 + j**3/3 - 42*j**2. Factor d(b).
(b - 2)**2*(b + 1)*(b + 3)/6
Find p, given that -15*p**2 + 42 - 26 + 48*p + 11*p**3 - 32*p**3 - 28 = 0.
-2, 2/7, 1
Let d be -28*15/1470 + 2/(56/239). Factor -d*w + 3/8*w**2 + 363/8.
3*(w - 11)**2/8
Let b(j) = 24*j**3 + 18*j**2 - 14*j - 16. Let s(z) = -z**3 - z**2 + z + 2. Let i(g) = -b(g) - 8*s(g). Factor i(x).
-2*x*(x + 1)*(8*x - 3)
Let h(f) be the first derivative of 1/24*f**4 - 49 - 2/9*f**3 + 5/12*f**2 - 1/3*f. Factor h(y).
(y - 2)*(y - 1)**2/6
Let y be (-35)/10 + 5066/204. Factor y*q**3 + 8/3*q - 44/3*q**2 - 28/3*q**4 + 0.
-4*q*(q - 1)**2*(7*q - 2)/3
Let h(q) be the third derivative of -q**7/42 - q**6/24 + 13*q**2. Factor h(b).
-5*b**3*(b + 1)
Suppose -x - 22 = -2*c + 3*x, -c + 2 = x. Let -c*o + 0*o**3 - 8*o**2 + 4*o**3 + o + 6 + 2*o**4 = 0. Calculate o.
-3, -1, 1
Let y be 12/(2*4/(-8)). Let p be y/(-9)*(-6)/(-4). Let -14*q**3 - q**4 - 3*q**4 - 16 + 2*q**4 - 36*q**p - 11*q - 29*q = 0. What is q?
-2, -1
Suppose 55*h - 123 = 14*h. Factor -1/3*y**h + 0*y - 1/3*y**2 + 0.
-y**2*(y + 1)/3
Let l be 0/(((-2)/(-5))/((-9)/(-45))). Suppose l*r + 2*u - 2 = -2*r, 5*u = -4*r + 3. Let -12*k - 3/2*k**r - 24 = 0. Calculate k.
-4
Suppose 108*j = 107*j + 106. Let n = -104 + j. Factor -3*b - 1/4*b**3 + 3/2*b**2 + n.
-(b - 2)**3/4
Suppose j = -5*z - 22, -z - 3 = -3*j - 5. Let d be (-4)/(j + -2 + 2). Factor -5*s**2 - s**3 + 0*s**d + 5*s**2 - 2*s**2 - s.
-s*(s + 1)**2
Let o(v) be the third derivative of v**7/630 + 7*v**6/120 + 17*v**5/20 + 427*v**4/72 + 49*v**3/3 + 22*v**2. Solve o(u) = 0.
-7, -6, -1
Suppose -7*o + 4*z = 24, o = 137*z - 141*z + 24. Let -66/7*a**3 - 2/7*a**5 + 80/7*a**2 + o + 20/7*a**4 - 32/7*a = 0. What is a?
0, 1, 4
Let h be (1 - (-52)/(-28))/(30/(-70)). Find t, given that 4/5 - 9/5*t**h + 16/5*t = 0.
-2/9, 2
Let 2/17*i**2 + 132/17 - 50/17*i = 0. What is i?
3, 22
Let m(x) = -5*x**3 - 5*x**2 + 31*x - 9. Let h(b) = 306*b**3 + 12 + 5*b**2 - 30*b - 2 - 301*b**3. Let n(l) = -6*h(l) - 5*m(l). Let n(d) = 0. Calculate d.
-3, 1
Suppose 994*z**2 + 73 - 991*z**2 - 93*z + 368 - 51 = 0. What is z?
5, 26
Let s(h) be the second derivative of h**8/14280 - h**7/3570 + h**6/3060 + 3*h**3/2 + 2*h. Let c(z) be the second derivative of s(z). Factor c(n).
2*n**2*(n - 1)**2/17
Let v(u) be the second derivative of u**5/40 - u**4/12 - 2*u**3 + 112*u. Factor v(k).
k*(k - 6)*(k + 4)/2
Let t = 14/41 + 1393/123. Let u = -11 + t. Let 0*l**2 + 1/3*l**5 - u*l**3 + 0 + 1/3*l**4 + 0*l = 0. What is l?
-2, 0, 1
Suppose -6 = -2*b - 3*c, 2*c = 5*b - 41 + 7. Let p = 8 - b. What is w in 2/3*w**3 + 0*w + 2/9*w**5 + 2/9*w**p + 0 + 2/3*w**4 = 0?
-1, 0
Suppose -3*i = -10*i + 21. Suppose -5*x + 36 = 11. Determine u so that -i*u**3 + 6*u**5 - 2*u**x - u**5 = 0.
-1, 0, 1
Let f(r) = -2*r**3 - 13*r - 2*r**2 + 23*r**2 - 166 + 181 + 4*r**2. Let p be f(12). Let 4/11*n - 2/11*n**4 + 0*n**2 - 4/11*n**p + 2/11 = 0. What is n?
-1, 1
Let s(q) be the first derivative of -q**5/210 + q**4/126 + 2*q**3/63 + 10*q + 5. Let y(l) be the first derivative of s(l). Factor y(u).
-2*u*(u - 2)*(u + 1)/21
Let z(p) be the third derivative of -p**5/30 + p**4/2 + 53*p**2. Determine x so that z(x) = 0.
0, 6
Let n be 13396/(-12)*12/(-12320). Let b = n + 1/280. Factor -b*m + 2/11*m**2 + 18/11.
2*(m - 3)**2/11
Let c be (18/12)/((-6)/(-16)). Solve -c*b**2 + 5*b**2 - 3*b**2 - 6*b + 2*b = 0 for b.
-2, 0
Let y be ((5 - 4) + -3)*-11. Suppose v + 19 = y. Determine l so that -3*l**3 + 34*l + 12*l**3 - v*l**4 - 9*l**2 - 31*l = 0.
0, 1
Let z(q) be the first derivative of -1 - 26/7*q**2 - 2/3*q**3 + 16/7*q. Factor z(i).
-2*(i + 4)*(7*i - 2)/7
Let w = -79/27 - -88/27. Find l, given that 0 + 1/6*l**2 + 1/3*l**3 - w*l - 1/6*l**4 = 0.
-1, 0, 1, 2
Let y(w) be the third derivative of -w**9/151200 - w**8/16800 - w**7/6300 - w**5/60 + w**4/2 + 3*w**2. Let s(o) be the third derivative of y(o). Factor s(k).
-2*k*(k + 1)*(k + 2)/5
Let d be -5 + 10 + -6 + 4. Let z(s) be the third derivative of 0 + 0*s**d + 0*s + 1/40*s**5 - 2*s**2 + 1/48*s**4. Solve z(h) = 0.
-1/3, 0
Let v(t) be the second derivative of 5*t**4/24 + 5*t**3/6 - t + 175. Find w, given that v(w) = 0.
-2, 0
Find i, given that -6*i**2 + 31*i**5 + 8*i + 38*i**5 + 11*i**3 - 12*i**2 - 70*i**5 = 0.
-4, 0, 1, 2
Let n = -420066/11 - -38188. Let 2/11*w**2 + 4/11*w + n = 0. Calculate w.
-1
Suppose -12 = -2*b, -2*v = -5*v - 5*b + 36. Let w be (-1)/3 - 14/(-15). Factor -w*i - 6/5*i**v + 6/5 + 3/5*i**3.
3*(i - 2)*(i - 1)*(i + 1)/5
Let u = 2344 - 2344. Find o, given that u - 2/17*o + 2/17*o**2 = 0.
0, 1
Let v(l) be the second derivative of -25/7*l**2 - 1/42*l**4 + 14*l - 10/21*l**3 + 0. Find q such that v(q) = 0.
-5
Let r(n) = -n**4 + 4*n**3 + 11*n**2 + 4*n + 4. Let f(k) = -6*k**3 - 12*k**2 - 3*k - 6. Let u(z) = -2*f(z) - 3*r(z). Let u(w) = 0. What is w?
-1, 0, 2
Let y(w) = 4*w**3 - 3*w**2 + 2*w - 4. Let f be y(2). Let 19*q**3 + 122*q**2 + 167*q + 93*q**2 - 47*q + 35*q**4 + 131*q**3 + f = 0. Calculate q.
-2, -1, -2/7
Let f(h) be the second derivative of -3/5*h**2 + 0 + 3/100*h**5 + h - 1/10*h**3 + 1/10*h**4. Factor f(v).
3*(v - 1)*(v + 1)*(v + 2)/5
Let h be 7*(-4)/16 + 2. Let k(u) be the third derivative of 0*u + 0 - h*u**3 - 1/8*u**4 + 3*u**2 - 1/40*u**5. Let k(s) = 0. What is s?
-1
Let y(c) be the second derivative of -2/135*c**6 + 0*c**3 + 0*c**5 + 18*c + 0 + 0*c**4 - 2/189*c**7 + 0*c**2. Factor y(s).
-4*s**4*(s + 1)/9
Let f be ((-3672)/(-117))/4 + (-2)/(-13). Let b(v) be the first derivative of f + 0*v - 4/21*v**3 + 2/7*v**2. Factor b(c).
-4*c*(c - 1)/7
Let n be (54/32)/(405/108). Let q(w) be the second derivative of -n*w**5 + 0 + 1/10*w**6 + 3/4*w**4 + 0*w**2 - 4*w - 1/2*w**3. Let q(k) = 0. Calculate k.
0, 1
Let s(j) = 3*j**2 - 47*j + 9. Let o be s(16). Factor 10*d**2 - 27 - 21 + 5*d**3 - 17 + o - 20*d.
5*(d - 2)*(d + 2)**2
Let u be (319/(-1160))/((-19)/44 - (-14)/77). Factor -4/5*i**2 - u*i**3 - 3/10*i**4 + 0 + 2/5*i.
-i*(i + 2)**2*(3*i - 1)/10
Let g(n) be the first derivative of 3*n**4/16 - n**3 - 3*n**2/8 + 3*n - 70. Factor g(i).
3*(i - 4)*(i - 1)*(i + 1)/4
Suppose -5*c + 13 + 2 = y, 0 = -c + 3*y - 13. Let b = 2399 + -11992/5. Suppose 3/5*s + 0 - b*s**c = 0. What is s?
0, 1
Let s(y) be the first derivative of -y**5/15 - 7*y**4/3 - 196*y**3/9 + 12. Factor s(v).
-v**2*(v + 14)**2/3
Let d(l) = -l**4 - l**3 - l**2 - 1. Let h(s) = 10*s**4 + 6*s**3 + 10*s**2 + 3*s + 7. Let g(m) = 36*d(m) + 4*h(m). Solve g(p) = 0 for p.
-1, 1, 2
Let a(o) be the second derivative of o**7/105 + 7*o**6/75 - 11*o**5/50 - 19*o**4/30 + 38*o**3/15 - 16*o**2/5 + 74*o. Factor a(n).
2*(n - 1)**3*(n + 2)*(n + 8)/5
Find w such that 9/4*w**2 - 1/2*w**3 + 6*w + 13/4 = 0.
-1, 13/2
Let w(j) be the first derivative of 4*j + 3*j**2 + 12 + 7/2*j**4 - 8*j**3. Factor w(f).
2*(f - 1)**2*(7*f + 2)
Suppose 0 = 2*g - 0*g + 6, m + 7 = -4*g. Suppose 2*b - m*b + 10 = 2*l, 2 = -3*b + 4*l. Factor 0 - 4/7*x**4 + 12/7*x**3 + 4/7*x - 12/7*x**b.
-4*x*(x - 1)**3/7
Factor 43*p**3 - 45*p - 5*p**5 - 11*p**3 - 22*p**3 - 37*p**2 + 20*p**4 - 23*p**2.
-5*p*(p - 3)**2*(p + 1)**2
Let -70 - 10*j**2 - 144*j + 13*j**2 + 250 + 18*j**2 - j**3 + 140 = 0. What is j?
5, 8
Let z(a) be the first derivative of 5*a**4/12 + 5*a**3/3 + 5*a**2/2 + 41*a - 32. Let q(x) be the first derivative of z(x). Suppose q(b) = 0. What is b?
-1
Let d(w) be the first derivative of w**5/20 + w**4/24 + 6*w + 16. Let s(n) be the first derivative of d(n). Factor s(y).
y**2*(2*y + 1)/2
Let h be 9/27 + (-42)/(-9). Suppose -5*d - 2*c + 2 = 0, -h*c = -0*d + 3*d + 14. Let -1 - 5/2*a**d - 7/2*a = 0. Calculate a.
-1, -2/5
Let y be (-3 - -5) + -2 - 0. Suppose -3*g = -5*x + 4*x - 7, y = -2*x + 2*g - 2. Find o, given that -2 - 4*o**4 - 2 + 2*o**4 + 3*o**3 + 6*o**2 - x*o - o**3 = 0.
-1, 1, 2
Suppose -4*i - 5*z - 14 = -i, 4*z + 16 = 0. Factor 2*t**3 + 2*t**3 + 11*t**i + t**2.
4*t**2*(t + 3)
Let z(n) be the third derivative of -1/21*n**4 - 1/210*n**5 + 8*n**2 + 0 + 0*n - 4/21*n**3. Suppose z(h) = 0. Calculate h.
-2
Let u(a) be the second derivative of 1/3*a**6 + 0*a**5 + 0 + 9*a + 5/6*a**3