(g).
4*g**2*(g + 1)
Let u = 41257/2 - 20627. Factor -1/4*n + 3/2 - u*n**2 + 1/4*n**3.
(n - 6)*(n - 1)*(n + 1)/4
Factor 4/3*r - 1/3*r**3 + 8/3 - 2*r**2 + 1/3*r**4.
(r - 2)**2*(r + 1)*(r + 2)/3
Let o(q) be the second derivative of -2*q**5/15 - 5*q**4/6 - 8*q**3/9 + q**2 + 51*q - 1. Suppose o(d) = 0. Calculate d.
-3, -1, 1/4
Suppose 3*m + 9 = -2*u + u, 0 = -3*m + u - 3. Let i be 7/m*18/(-21). Factor -20 - 3*c**3 + 20 + i*c**4 - 6*c**2.
3*c**2*(c - 2)*(c + 1)
Suppose -12*h + 10*h = -4. Factor -k**2 + 2 - h + 21*k - 24*k.
-k*(k + 3)
Let a(u) = u**3 + 8*u**2 - 9*u + 2. Suppose 0 = p + 3*z + 28 - 4, 2*p - 4*z - 2 = 0. Let i be a(p). Factor 4/7*k**i - 4/7 + 6/7*k.
2*(k + 2)*(2*k - 1)/7
Let l(j) be the second derivative of -1/60*j**6 + 0*j**3 + 0*j**2 - 14*j + 0*j**4 + 0 + 0*j**5 - 1/42*j**7. Solve l(t) = 0.
-1/2, 0
Factor 1/4*o**2 + 21609/4 + 147/2*o.
(o + 147)**2/4
Let i(u) be the first derivative of 1/5*u**5 + 0*u**3 + 1/15*u**6 + 5 + 0*u**2 + 1/6*u**4 + u. Let k(j) be the first derivative of i(j). Factor k(w).
2*w**2*(w + 1)**2
Let v(z) be the third derivative of -2*z**7/525 - z**6/150 + z**5/75 + z**4/30 + 24*z**2. Suppose v(b) = 0. What is b?
-1, 0, 1
Let g(s) be the third derivative of s**7/504 - s**6/36 + 7*s**4/12 - 2*s**2. Let k(m) be the second derivative of g(m). Let k(u) = 0. What is u?
0, 4
Let p = -123 - -116. Let i(s) = -s**2 + 4*s - 3. Let g(j) = -4*j**2 + 7*j - 5 + j**2 + j**2. Let d(w) = p*i(w) + 4*g(w). Factor d(f).
-(f - 1)*(f + 1)
Suppose 1/2*g**2 + 9 - 9/2*g = 0. Calculate g.
3, 6
Suppose 0 = -g + 4*g - 5*a + 23, -3*a = 4*g + 21. Let h be (3 - (-20)/g) + (-39)/(-9). Find b such that 12/7*b**2 + 2/7 + 8/7*b + 2/7*b**h + 8/7*b**3 = 0.
-1
Factor -15/2*n**2 - 5*n + 0*n**3 + 0 + 5/2*n**4.
5*n*(n - 2)*(n + 1)**2/2
Let d(u) = 3*u**3 + u**2 + 2. Let w(o) = -o**3 - o**2 - 1. Let s(a) = a**2 - 8*a + 9. Let g be s(6). Let p(c) = g*d(c) - 6*w(c). Factor p(t).
-3*t**2*(t - 1)
Suppose -5*a + 153 = -5*r + 143, 3*r = -6. Find m, given that 2/17*m**2 + a - 2/17*m = 0.
0, 1
Let h = 11588 + -104194/9. Factor -28/9*v**3 + 0 - 2/9*v**4 - h*v**2 + 0*v.
-2*v**2*(v + 7)**2/9
Let r(m) be the first derivative of -m**4 + 4/3*m**3 - 3 + 0*m**2 + 0*m. Factor r(f).
-4*f**2*(f - 1)
Let d(b) = -2*b**2 + 10*b + 38. Let u be d(11). Let w be ((-10)/(-25))/(u/(-30) - 3). Find q, given that 6/11*q - 4/11 + 24/11*q**2 + 14/11*q**w = 0.
-1, 2/7
Let o(k) = -117*k**4 + 191*k**3 - 86*k**2 + 5*k - 7. Let c(w) = -59*w**4 + 96*w**3 - 43*w**2 + 2*w - 4. Let g(q) = 7*c(q) - 4*o(q). Suppose g(r) = 0. What is r?
0, 3/11, 2/5, 1
Let g = -208 - -218. Let d be 2*g/((-160)/(-6)). Factor -d + m - 1/4*m**2.
-(m - 3)*(m - 1)/4
Suppose 4 + 5 = 9*b. Factor 1 - b - 4*j**2 + 6695*j - 6723*j.
-4*j*(j + 7)
Suppose 10 = 2*k + 3*k. Let h be 2/8 - (-14)/8. Factor -16*i + 3*i**2 - 16*i**k + 20*i**3 - h*i**2 - i**2 + 12*i**4.
4*i*(i - 1)*(i + 2)*(3*i + 2)
Let a = 21 - 16. Let n = a + -3. Determine j, given that 2*j - 4*j + 4*j**2 - n*j**2 = 0.
0, 1
Factor 34*b + 112 - 64 + 241 + b**2.
(b + 17)**2
Let y(q) be the first derivative of -q**3 + 22 - q**4 + 9/2*q**2 - 2*q. Factor y(r).
-(r - 1)*(r + 2)*(4*r - 1)
Let x be ((-2)/(-6))/((-66)/(-32) - 2). Let t(s) be the first derivative of -11 - 3*s**4 + x*s**3 + 0*s - 2*s**2. Solve t(v) = 0 for v.
0, 1/3, 1
Let p(o) = -o**2 + 24*o - 24. Let x(t) be the second derivative of 25*t**3/6 - 25*t**2/2 + 3*t. Let s(b) = -5*p(b) + 4*x(b). Factor s(c).
5*(c - 2)**2
Let f be ((-18)/14)/((-189)/504). What is j in -f*j**2 + 16/7*j - 4/7*j**4 - 4/7 + 16/7*j**3 = 0?
1
Let c = -58 + 62. Suppose 0 = 3*j + 2*k + c, k + 3*k = j - 22. Factor -2/5*l**j - 18/5 + 12/5*l.
-2*(l - 3)**2/5
Let d(j) be the third derivative of 0 - 1/48*j**4 + 1/240*j**6 + 0*j**5 + 2*j**2 + 0*j + 0*j**3. Determine w, given that d(w) = 0.
-1, 0, 1
Let b be (7452/(-5))/6 - -3. Let o = -245 - b. Determine y, given that -o*y**2 - 18/5 + 12/5*y = 0.
3
Suppose -3*m - 5*c = -21, 9 = 3*m - c + 2*c. Determine g, given that -5 + 8*g - 4*g**2 - g**m + 6*g - 4*g = 0.
1
Suppose 4*l = 12, 62*g + l + 7 = 67*g. Let f(z) be the second derivative of 1/12*z**g + 9*z - 1/36*z**4 + 0*z**3 + 0*z**5 + 0 + 1/180*z**6. Factor f(a).
(a - 1)**2*(a + 1)**2/6
Let h(k) be the second derivative of k**6/72 - k**5/6 - k**3/6 - 15*k. Let x(b) be the second derivative of h(b). Factor x(o).
5*o*(o - 4)
Let z = -18 + 27. Factor z*s + 16*s**2 + 2*s**4 - 2*s**3 + 12*s**3 - s.
2*s*(s + 1)*(s + 2)**2
Suppose 2*l + b = 4*b - 8, -5*l + b + 6 = 0. Suppose -2*m + 7 = 2*c - 3, -5*c + 4*m - l = 0. Find r, given that -4/7 - 10/7*r + 6/7*r**c = 0.
-1/3, 2
Let v(u) be the first derivative of -u**5/25 - u**4/5 + 2*u**3/3 + 14*u**2/5 + 3*u + 286. Suppose v(x) = 0. What is x?
-5, -1, 3
Suppose -8 = 4*l, x - 4 = -3*l + 4*l. Suppose 2*u - 2*i - 31 = 3*i, -x*i - 25 = -5*u. Factor -3/2 - 3/2*f**4 + 0*f**3 + 0*f + u*f**2.
-3*(f - 1)**2*(f + 1)**2/2
Let a = -14688 + 58753/4. Factor a - 1/8*u**2 - 1/8*u.
-(u - 1)*(u + 2)/8
Let u(w) be the third derivative of w**7/126 + 11*w**6/120 + w**5/5 - 5*w**4/18 + 9*w**2 - 10. What is o in u(o) = 0?
-5, -2, 0, 2/5
Let v(n) be the second derivative of -n**5/30 - 7*n**2/2 - 25*n. Let o(p) be the first derivative of v(p). Factor o(b).
-2*b**2
Let w(s) be the third derivative of 0*s**4 - 1/20*s**5 + 0*s + 1/40*s**6 - 1/112*s**8 + 1/70*s**7 + 0 + 0*s**3 + 6*s**2. Factor w(p).
-3*p**2*(p - 1)**2*(p + 1)
Let f(g) be the first derivative of 1/24*g**3 - 1/16*g**2 - 1/4*g + 14. Factor f(d).
(d - 2)*(d + 1)/8
Let m be 4 - ((-20)/(-4) + (-8 - -5)). Let p(r) be the third derivative of 1/60*r**5 + 0*r + 0 - 1/24*r**4 + 0*r**3 - 3*r**m. Find g, given that p(g) = 0.
0, 1
Let z = -715 - -7871/11. Determine c so that 0 + 0*c - 2/11*c**3 + z*c**2 = 0.
0, 3
Let l(z) = -2310*z**2 - 275*z + 85. Let b = 3533 - 5643. Let d be b/(-60) - 2/12. Let h(g) = 385*g**2 + 46*g - 14. Let t(q) = d*h(q) + 6*l(q). Factor t(n).
-5*(7*n + 2)*(11*n - 2)
Let d(q) = -q**3 - 4*q**2 + 26*q + 110. Let s be d(-5). Let i(v) be the first derivative of 6*v**4 - 4/5*v**s + 0*v + 16*v**2 + 2 - 16*v**3. Factor i(z).
-4*z*(z - 2)**3
Suppose 208*h - 36 = 199*h. Factor -2*m**3 + 0 - m - 5/2*m**2 - 1/2*m**h.
-m*(m + 1)**2*(m + 2)/2
Let u = 360526 - 109960252/305. Let a = u - -1/61. Suppose -3/5*n**2 - a*n**3 + 0 + 6/5*n = 0. What is n?
-2, 0, 1
Let w(x) be the first derivative of -1/14*x**6 + 0*x**4 - 4/7*x**3 + 0*x**2 + 0*x + 12 + 9/35*x**5. Factor w(z).
-3*z**2*(z - 2)**2*(z + 1)/7
Let r = -60 + 106. Factor 385 + 40*h**3 + 10*h - 385 - r*h**2 + 11*h**2 - 15*h**4.
-5*h*(h - 1)**2*(3*h - 2)
Let f(o) be the third derivative of 0*o**3 + 1/30*o**5 + 0*o**4 + 11*o**2 + 1/35*o**7 + 1/20*o**6 + 0 + 0*o + 1/168*o**8. What is u in f(u) = 0?
-1, 0
Let d(b) = b + 3. Let u(t) = -t + 4. Let p be u(5). Let h be d(p). Factor -y**2 + y + 2*y**h - 2*y**2 - 2*y.
-y*(y + 1)
Let o(v) be the second derivative of v**5/10 + 10*v**4/3 - 43*v**3/3 + 22*v**2 + 16*v - 1. Factor o(w).
2*(w - 1)**2*(w + 22)
Suppose 4*p - 24 = -3*j, p - 4*j + 10 = -p. Suppose -12 - m**2 + 5 - 28*m - p*m**2 - 17 = 0. What is m?
-6, -1
Let o(h) = -h**2 + 2*h + 3. Let x be o(2). Let -100*q**2 - 10*q**5 + 40*q + 17*q**4 - 1206 + 1206 + 30*q**x + 8*q**4 = 0. What is q?
-2, 0, 1/2, 2
Let t(y) be the first derivative of -175/3*y**3 - 10*y**2 - 115/2*y**4 + 20*y - 23*y**5 - 6 - 10/3*y**6. Determine q so that t(q) = 0.
-2, -1, 1/4
Let b = -3/989 + 19789/2967. Suppose 8/3*r - b*r**3 + 4*r**2 + 0 = 0. What is r?
-2/5, 0, 1
Let i(n) = n**2 + 3*n - 4. Let o be i(-6). Let s be 0 + (-3)/6*(-16)/o. Factor 2/7*c**3 + 2/7*c**5 + 0*c**2 + 0*c + 0 - s*c**4.
2*c**3*(c - 1)**2/7
Let u(l) = 5*l**4 + 19*l**3 - 71*l**2 + 53*l - 18. Let t(a) = a**4 + a**3 - 5*a**2. Let r(h) = -4*t(h) + u(h). Solve r(p) = 0 for p.
-18, 1
Let s be (-12)/1*(0 - 1). Factor -s*p**3 + 109 - 109 - 4*p**5 + 12*p**4 + 4*p**2.
-4*p**2*(p - 1)**3
Let u be (198/(-4))/(2 - 30/24). Let g be ((-1)/(-4) - 1)/(u/176). Find n, given that 2/3*n + 1/3*n**g - 1 = 0.
-3, 1
Let r(d) be the first derivative of 2*d**3/39 + 31*d**2/13 + 60*d/13 + 127. Factor r(h).
2*(h + 1)*(h + 30)/13
Let y be (2 - -18)/((-8)/8). Let p = y + 24. Factor 36*d**2 - 43 + 32 - p*d**3 - 108*d + 119.
-4*(d - 3)**3
Factor 4 - 14*n - 3*n**2 - 2*n - 58 + 30*n + 19*n.
-3*(n - 9)*(n - 2)
Let a = -339 - -1221