erivative of 5*j**3/3 - 20*j + 558. What is w in b(w) = 0?
-2, 2
Let n = -76 - -80. Suppose n*q - 7*q - 2*x = -20, -q + x = 0. What is v in 8/7*v**3 + 2/7 - 6/7*v**q + 4/7*v**2 - 8/7*v = 0?
-1, 1/3, 1
Let k(r) be the first derivative of r**3/4 - 99*r**2/8 - 51*r/2 - 842. Factor k(o).
3*(o - 34)*(o + 1)/4
Let j(r) = 14*r**3 - 24*r**2 - 23*r - 10. Let c(a) = 12*a**3 - 24*a**2 - 24*a - 8. Let k(g) = 5*c(g) - 4*j(g). Factor k(h).
4*h*(h - 7)*(h + 1)
Let m = -6412 - -6417. Factor 0*j**2 + 3/2*j**4 + j**3 + 1/2*j**m + 0*j + 0.
j**3*(j + 1)*(j + 2)/2
Let v(w) = 668*w + 2009. Let u be v(-3). Determine s so that -3/4 + 3/2*s**3 + 5/4*s**4 + 1/4*s**u - 7/4*s - 1/2*s**2 = 0.
-3, -1, 1
Suppose 9 = -2*p + 15. Let c(m) = 2*m**3 - m**2 - 5*m - 5. Let d(n) = -4*n**3 + n**2 + 9*n + 9. Let y(b) = p*d(b) + 5*c(b). Factor y(u).
-2*(u - 1)*(u + 1)**2
Let h(o) be the second derivative of -o**7/2520 + o**6/360 + o**5/15 + 13*o**4/12 + 22*o. Let f(r) be the third derivative of h(r). Factor f(u).
-(u - 4)*(u + 2)
Let f(j) be the first derivative of -j**4/14 + 34*j**3/21 - 95*j**2/7 + 50*j - 146. Solve f(m) = 0 for m.
5, 7
Let v(z) = -z + 4. Let w(u) = 3*u**2 + 891*u + 65700. Let x(g) = 3*v(g) + w(g). Factor x(m).
3*(m + 148)**2
Let x be 44 - (1 - (-4)/(-1)). Factor -46*d**3 - 3*d**4 - 6*d**2 - x*d**3 - 3*d**4 + 108*d**3.
-3*d**2*(d - 2)*(2*d - 1)
Let n(l) be the third derivative of l**7/210 + l**6/40 + l**5/30 + 58*l**2 + 3. Factor n(m).
m**2*(m + 1)*(m + 2)
Factor 35 + 122*s - 146*s + 13 - 21*s**2 - 3*s**3.
-3*(s - 1)*(s + 4)**2
Let n(i) be the first derivative of -1/15*i**3 + 0*i - 1/20*i**4 - 7 + 0*i**2. Let n(w) = 0. Calculate w.
-1, 0
Let w be (-551)/(-247) + 27/(-117). Determine j, given that 1/4*j**3 - 1/4*j**5 - 1/2*j**w + 1/2*j**4 + 0 + 0*j = 0.
-1, 0, 1, 2
Suppose -5*k = 126 - 121, -4*k = i + 1. Let b(n) be the second derivative of -1/42*n**i - n + 0 + 1/84*n**4 - 1/7*n**2. Factor b(a).
(a - 2)*(a + 1)/7
Let 4*c + 16*c**3 + 4/3*c**5 + 0 - 40/3*c**2 - 8*c**4 = 0. What is c?
0, 1, 3
Let h(b) be the second derivative of 4*b + 3/5*b**2 + 0 + 1/6*b**4 - 1/50*b**5 - 7/15*b**3. Factor h(z).
-2*(z - 3)*(z - 1)**2/5
Find r such that 172/3*r + 2/3*r**3 - 14*r**2 - 64 = 0.
2, 3, 16
Let z be (-1)/(-2)*(-5 + 9). Let j = 306 - 2141/7. Factor -j*d**3 + 0 - 4/7*d + 4/7*d**z.
-d*(d - 2)**2/7
Let -3025/6 - 3/2*v**2 + 55*v = 0. What is v?
55/3
Let b(q) = q**2 + 7*q + 14. Let x be b(-5). Solve -156 + 40*h**x - 30*h**2 + 146 + 37*h + 0*h**5 - 15*h**5 - 2*h - 20*h**3 = 0 for h.
-1, 2/3, 1
Suppose k = 5*r + 54, -k - 4*r + 32 = -4. Let s = 46 - k. Find g, given that -7/3*g**3 + 0*g - 2/3*g**4 + 2/3*g**s + 7/3*g**5 + 0 = 0.
-1, 0, 2/7, 1
Let u(a) be the first derivative of a**3/8 - 135*a**2/8 + 6075*a/8 - 48. Factor u(z).
3*(z - 45)**2/8
Let l(r) be the second derivative of r**5/5 - r**4/3 - 4*r**3 + 2*r - 4. Solve l(c) = 0 for c.
-2, 0, 3
Let i(z) be the second derivative of -3/7*z**2 + 0 - 1/42*z**4 - 4/21*z**3 - 10*z. Factor i(v).
-2*(v + 1)*(v + 3)/7
Let m = 5626801/900 - 6252. Let f(w) be the third derivative of 0 - w**2 + 0*w - m*w**6 + 1/180*w**4 + 0*w**5 + 0*w**3. Solve f(y) = 0 for y.
-1, 0, 1
Let z(k) = -k**3 + k**2 + 1. Suppose 2*t + 18 = 5*t. Let f(p) = 5*p**4 - 14*p**3 + 14*p**2 - 6. Let u(x) = t*z(x) + f(x). Determine v so that u(v) = 0.
0, 2
Let g(s) = -s**2 + 5*s + 2. Let p be g(7). Let i(f) = f**2 + 11*f - 3. Let u be i(p). Factor -4*r - 2*r**2 + 7 - u + 4 + 4*r**2.
2*(r - 1)**2
Let i be (396/(-693) - (1 - (-4)/(-7))) + 1. Factor 0*k - 2/11*k**4 + 0*k**3 + 2/11*k**2 + i.
-2*k**2*(k - 1)*(k + 1)/11
Let z = 1785 + -1779. Let l(t) be the third derivative of -5/6*t**4 + 0*t + 2/7*t**7 - t**5 + 0*t**3 - 5/48*t**8 + 0 + 11/24*t**z + 8*t**2. Solve l(u) = 0.
-1, -2/7, 0, 1, 2
Let y = 4453/18853 - 1/1109. Find n, given that 2/17*n**2 + 0 - y*n = 0.
0, 2
Let z(h) be the second derivative of -h**6/65 - 7*h**5/130 + 9*h**4/13 - 68*h**3/39 + 24*h**2/13 - 79*h - 1. Suppose z(y) = 0. What is y?
-6, 2/3, 1, 2
Let m = 1606/3 - 8024/15. Determine w, given that -m*w**5 - 2/5*w + 0*w**2 + 0 + 4/5*w**3 + 0*w**4 = 0.
-1, 0, 1
Let k(l) be the third derivative of l**5/20 - 29*l**4/4 + 841*l**3/2 + 4*l**2 - 3. Factor k(j).
3*(j - 29)**2
Let b(g) = g**3 - 12*g**2 + 13*g - 14. Let u be b(11). Let f be ((-6)/u)/3*(-1)/1. Determine n so that f*n**3 + 0*n + 0 - 1/2*n**2 = 0.
0, 2
Let u(k) be the second derivative of 3*k**7/560 + k**6/20 + 11*k**5/60 + k**4/3 + k**3/3 - 4*k**2 - 10*k. Let z(x) be the first derivative of u(x). Factor z(p).
(p + 2)**2*(3*p + 2)**2/8
Let f(j) be the first derivative of 2/75*j**6 + 1/5*j**5 + 0*j**2 + 7/15*j**4 + j - 7 + 2/5*j**3. Let w(u) be the first derivative of f(u). Factor w(h).
4*h*(h + 1)**2*(h + 3)/5
Let a(h) = 2*h**2 + 77*h - 433. Let b be a(5). What is y in 0 + b*y + 2/5*y**2 = 0?
-5, 0
Let 31 - 2*f**2 + f**4 + 32 - 3*f**4 + 10*f - 12*f**3 - 57 - 2*f**2 + 2*f**5 = 0. What is f?
-1, 1, 3
Let i(n) be the third derivative of 49*n**5/160 - 7*n**4/16 + n**3/4 + 15*n**2 + 3*n. Factor i(w).
3*(7*w - 2)**2/8
Factor -2/3*g**3 - 34/3*g**2 - 80/3 + 116/3*g.
-2*(g - 2)*(g - 1)*(g + 20)/3
Let s(y) be the first derivative of -y**7/1400 + y**6/600 + y**5/100 - 2*y**3/3 + 6. Let p(x) be the third derivative of s(x). Suppose p(q) = 0. Calculate q.
-1, 0, 2
Let w(j) be the first derivative of -j**6/21 - 2*j**5/35 + j**4/14 + 2*j**3/21 + 10. Suppose w(t) = 0. What is t?
-1, 0, 1
Suppose 3*l - 333 + 327 = 0. Let y(a) be the first derivative of 3*a - 5 + 1/3*a**3 - 2*a**l. Factor y(h).
(h - 3)*(h - 1)
Let g be 16/(-24) - 34/(-6). Suppose -5*j - g*j**2 + 5*j**3 + 5*j**4 - 4*j + 4*j = 0. Calculate j.
-1, 0, 1
Suppose 0 = -2*o - 3*o - 25. Let g(m) = 2*m**3 + 2*m**2 + 5. Let q(h) = -9*h**3 - 9*h**2 - 21. Let j(k) = o*q(k) - 21*g(k). Solve j(i) = 0 for i.
-1, 0
Let s(d) be the first derivative of -d**4/78 - d**3/13 - 2*d**2/13 - 16*d - 14. Let n(a) be the first derivative of s(a). Find k, given that n(k) = 0.
-2, -1
Suppose -3*o - 3*d - 3 = 0, o = -3*d - 20 + 11. Factor -3/4*g**4 + 0 + 3/4*g**2 + 1/4*g**5 + 1/4*g**o - 1/2*g.
g*(g - 2)*(g - 1)**2*(g + 1)/4
Let o(r) be the third derivative of -r**6/72 + 5*r**4/24 + r**3 - 4*r**2. Let n(k) be the first derivative of o(k). Factor n(x).
-5*(x - 1)*(x + 1)
Let f(d) = d**3 - 18*d**2 + 4*d - 68. Let k be f(18). What is b in 1/2*b**3 + 1/4*b**5 + 0*b**2 + 0 + 3/4*b**k + 0*b = 0?
-2, -1, 0
Let r(p) be the third derivative of -1/165*p**6 + 0*p - 18*p**2 - 8/385*p**7 + 0*p**3 + 0*p**5 - 5/264*p**8 + 0 + 0*p**4. Find d such that r(d) = 0.
-2/5, -2/7, 0
Let r be (15/3)/(-3 - (-4 - 0)). Factor -75*w - 35*w**2 - 35 - r*w**3 + 11 - 21.
-5*(w + 1)*(w + 3)**2
Let x = -3/1252 - 642261/6260. Let c = x + 103. Let 0 + 2/5*b**3 - 4/5*b**2 + c*b = 0. Calculate b.
0, 1
Suppose 2*b = -q + 5, 2*b = 2*q + 18 - 16. Factor 10/3*g - 4/3 - 2*g**b.
-2*(g - 1)*(3*g - 2)/3
Let s(b) be the first derivative of -5/6*b**6 - b**5 - 1 + 10/3*b**3 - 5/2*b**2 + 5/2*b**4 - 5*b. Determine u so that s(u) = 0.
-1, 1
Factor -4/3*y**2 + 2/3 + 0*y**3 + 2/3*y**4 + 0*y.
2*(y - 1)**2*(y + 1)**2/3
Suppose -3*f + 0*a + 5*a = 16, f + 12 = 3*a. Let r be (f - (-104)/(-14)) + 5. Factor -1/7*x**3 + 0 - 4/7*x + r*x**2.
-x*(x - 2)**2/7
Let m be (-25)/(-15) + ((-20)/(-12))/5. Factor 8*h + 6*h**3 - 8*h**3 + h**2 + 3*h**m - 16.
-2*(h - 2)**2*(h + 2)
Let f = -4/421 - -637/22734. Let n(p) be the first derivative of 2/27*p**3 + 0*p**5 + 9 + 1/6*p**2 - 1/9*p**4 + f*p**6 - 2/9*p. Factor n(q).
(q - 1)**3*(q + 1)*(q + 2)/9
Let f(n) be the first derivative of -n**5/330 + 5*n**4/132 - 3*n**2 + 17. Let i(y) be the second derivative of f(y). Factor i(j).
-2*j*(j - 5)/11
Suppose -4/3*c**3 + 8/9*c**2 - 8/9*c**4 + 2/9*c**5 + 10/9*c + 0 = 0. Calculate c.
-1, 0, 1, 5
Let y(d) be the first derivative of 4*d**3/3 - 36*d**2 - 76*d + 52. Suppose y(n) = 0. Calculate n.
-1, 19
Let y(r) be the third derivative of 5/24*r**4 + 2 + 0*r + 0*r**3 + 1/12*r**5 + r**2. Factor y(q).
5*q*(q + 1)
Let q(o) be the first derivative of -2*o**3/27 - 74*o**2/9 - 2738*o/9 - 127. Factor q(w).
-2*(w + 37)**2/9
Let f = 98 - 99. Let x(y) = -1. Let q(p) = p**2 - 18*p + 78. Let m(t) = f*q(t) + 3*x(t). Factor m(z).
-(z - 9)**2
Let u(k) be the second derivative of -k**8/1680 + k**6/60 - k**5/15 - 7*k**4/12 + 15*k. Let y(o) be the third der