(z + 9)
Let d(f) = -9*f**3 + 12*f**2 - 13*f + 10. Let x(y) = 11*y**3 - 13*y**2 + 12*y - 10. Let k(n) = -5*d(n) - 4*x(n). Find w such that k(w) = 0.
1, 2, 5
Let g(k) be the third derivative of 2/21*k**7 + 0 + 0*k + 8*k**4 - 26*k**2 - 2/5*k**6 - 16/15*k**5 - 32/3*k**3. Find i, given that g(i) = 0.
-2, 2/5, 2
Factor -f - 339 - 56*f**2 + 69*f + 327.
-4*(f - 1)*(14*f - 3)
Suppose 2*s = 7 + 11. Let c(q) = q**3 - 9*q**2 + 2*q - 15. Let k be c(s). Suppose -2 + k*z + 6*z - 13*z + 6*z**2 = 0. Calculate z.
-1/3, 1
Let r(v) be the third derivative of v**7/630 + v**6/90 - v**5/15 + 42*v**2. Let r(w) = 0. What is w?
-6, 0, 2
Let -2/9*t**3 + 16/9*t**2 + 32/3 + 88/9*t = 0. What is t?
-2, 12
Let c(m) be the second derivative of -m**5/10 - m**4/8 + m**3/12 + 204*m. Determine p so that c(p) = 0.
-1, 0, 1/4
Factor 8/3*i**3 + 0 - 2/9*i**5 + 0*i**2 + 8/9*i**4 + 0*i.
-2*i**3*(i - 6)*(i + 2)/9
Let 27/5 + 12/5*h + 1/5*h**2 = 0. Calculate h.
-9, -3
Let u(y) be the third derivative of -2*y**2 + 1/80*y**5 + 0 + 0*y + 0*y**3 - 1/16*y**4. Let u(t) = 0. Calculate t.
0, 2
Let t be (-2048)/80 + 20 + 6. Let 16/5*g + t + 14/5*g**2 = 0. What is g?
-1, -1/7
Suppose 32*g - 31 = 33. Let f(t) be the first derivative of -2 - 3*t**g + 0*t - 2/3*t**3. Factor f(m).
-2*m*(m + 3)
Let c be 2 + ((-580)/(-29) - 17). Suppose -4*r**4 - 16/3 - 4/3*r**c + 28/3*r**2 + 0*r + 4/3*r**3 = 0. What is r?
-2, -1, 1
Factor 40*l**3 + 3674/9*l**2 + 4418/9 + 8/9*l**4 - 940*l.
2*(l - 1)**2*(2*l + 47)**2/9
Let a be ((-1962)/(-327))/(2 + 0). Factor -a + 0*u + 1/3*u**2.
(u - 3)*(u + 3)/3
Let v(u) be the second derivative of -u**6/300 - u**5/60 + u**4/30 - 3*u**3/2 - 5*u. Let d(h) be the second derivative of v(h). Factor d(c).
-2*(c + 2)*(3*c - 1)/5
Let n(q) = -q**2 + 46*q + 68. Let j(o) = o**2 - 38*o - 67. Let c(y) = -3*j(y) - 4*n(y). Factor c(z).
(z - 71)*(z + 1)
Let i(w) = w**2 - w. Let a(n) = -9*n**2 - 15*n**2 + 8*n + 2*n**2 + 6*n**2. Let j(q) = -2*a(q) - 28*i(q). Factor j(r).
4*r*(r + 3)
Let k(j) be the third derivative of -j**7/490 + j**6/84 - 3*j**5/140 + j**4/84 - 58*j**2. Factor k(h).
-h*(h - 2)*(h - 1)*(3*h - 1)/7
Let u = -85 - -41. Let m be 4/((-16)/u) + -4. Determine v so that 5 - 3*v**2 - m - 10 - 12*v = 0.
-2
Let d be 194/(-300) - (-2 - (-48)/36). Let r(h) be the third derivative of 0*h + 1/200*h**6 - d*h**5 - 12*h**2 - 1/10*h**4 + 4/5*h**3 + 0. Factor r(m).
3*(m - 2)**2*(m + 2)/5
Find d such that 1/4*d**2 + d + 0 = 0.
-4, 0
Suppose k + 27*k - 56 = 0. Factor 4/7*p**3 + 0 - 4/7*p + 0*p**k.
4*p*(p - 1)*(p + 1)/7
Find l such that 32*l - 5*l**5 + 44*l**2 - 25*l + 38*l**4 - 10 - 55*l**3 - 19*l**3 = 0.
-2/5, 1, 5
Let m(p) be the first derivative of -24*p**2 + 336/5*p**5 + 137*p**4 - 16*p - 1 + 60*p**3. Suppose m(x) = 0. Calculate x.
-1, -2/3, -1/4, 2/7
Let s(g) be the second derivative of -g**10/30240 - g**9/3780 - g**8/1680 + g**4 - 8*g. Let r(m) be the third derivative of s(m). Factor r(l).
-l**3*(l + 2)**2
Find d such that -44/3*d - 8/3*d**2 + 16 + 4/3*d**3 = 0.
-3, 1, 4
Let c = 10 + -4. Let p be (-348)/(-40) + -1 + 30/(-60). Determine b, given that 0 + c*b**4 + 18/5*b**2 + p*b**3 + 9/5*b**5 + 3/5*b = 0.
-1, -1/3, 0
Let w(o) = o**2 - 5*o + 40. Let j be w(0). Factor -j*i + 4*i**3 + 5*i**2 - 9*i**2 - 14 - 18.
4*(i - 4)*(i + 1)*(i + 2)
Let s = -41 - -1. Let z be (-22)/(-4) - (-100)/s. Factor 2/9*q**4 + 0*q + 0*q**z + 2/9 - 4/9*q**2.
2*(q - 1)**2*(q + 1)**2/9
Let b(h) = h**3 + 2*h**2 - 1. Let k be b(2). Suppose -4*f + 36 = -4. Factor k*g**2 - 10*g**3 + 20 - 26*g**4 + 11*g**4 + f*g**4 + 40*g.
-5*(g - 2)*(g + 1)**2*(g + 2)
Let m = 228141/91258 + 2/45629. Determine c so that 1/2*c**2 + m - 3*c = 0.
1, 5
Let -25 + 38*i**2 - 35*i + 39*i**2 - 25 + 20 - 82*i**2 = 0. Calculate i.
-6, -1
Let p = 646 + -3228/5. Let m(h) be the second derivative of 2*h**3 - 2/5*h**6 - p*h**5 - 2/21*h**7 + 2*h**2 + 2/3*h**4 + 5*h + 0. Let m(g) = 0. What is g?
-1, 1
Let h(z) be the first derivative of z**3/33 + 5*z**2/11 - 95. Find a such that h(a) = 0.
-10, 0
Let j(y) be the third derivative of 0*y + 3*y**2 - 2/3*y**3 + 0*y**4 + 1/5*y**5 + 0 + 1/15*y**6. Factor j(o).
4*(o + 1)**2*(2*o - 1)
Let f = 1697/5 - 336. Let x = f + -2. Find s, given that s**4 - 2/5*s - x*s**5 + 9/5*s**3 + 0 - s**2 = 0.
-1, -2/7, 0, 1
Let u(d) be the second derivative of d**7/126 - d**6/90 - 3*d**5/20 + 5*d**4/36 + 8*d**3/9 - 2*d**2 + 6*d. Find y, given that u(y) = 0.
-2, 1, 3
Let q be 47/9 + -3 - (-4)/(-18). Find j such that -2/5*j**4 + 4/5*j**q + 2/5*j**3 + 0*j + 0 = 0.
-1, 0, 2
Let z be (-3*1/9)/(10/(-78)). Let v = z + -29/15. Determine p so that 4/9*p**2 + 0 - 4/9*p**4 + 0*p - 2/3*p**3 + v*p**5 = 0.
-1, 0, 2/3, 1
Let r(a) = 5*a**2 - a. Let k be r(-1). Let x(f) = f - 4. Let o be x(k). What is t in 4/3*t**o + t - 1/3 = 0?
-1, 1/4
Let g(i) be the third derivative of i**8/16 - i**7/7 + 3*i**6/40 + 186*i**2 - 2*i. Factor g(t).
3*t**3*(t - 1)*(7*t - 3)
Let p = 5892 + -5887. Let 0 - 8/5*i + 12/5*i**2 + 36/5*i**3 + 4/5*i**4 - 12/5*i**p = 0. Calculate i.
-1, 0, 1/3, 2
Suppose 0 = 3*p - p + 2*z - 10, 9 = 3*z. Suppose -5*s - 2 = p*b + 2*b, -4*b + 3*s = -14. Factor -3*k**2 + 3*k**4 - 5*k**5 - k**5 + 2*k**5 + 3*k**5 + b*k - k**3.
-k*(k - 2)*(k - 1)**2*(k + 1)
Let k be (5 - -3) + 20/(-4). Let i(t) be the second derivative of -2*t + 0 - 1/36*t**4 + 2/3*t**2 + 0*t**k. Factor i(n).
-(n - 2)*(n + 2)/3
Let z(k) = k - 13*k**2 - 10 + 12*k - 15*k**3 + 16*k**3. Let g be z(12). Factor 1 + 1/2*c**3 + 5/2*c + 2*c**g.
(c + 1)**2*(c + 2)/2
Suppose 1/4*t**4 + 3 + t - 9/4*t**2 + 0*t**3 = 0. What is t?
-3, -1, 2
Let j(l) be the second derivative of -l**7/189 - l**6/15 - l**5/6 + 25*l**4/54 - 2*l + 31. Factor j(b).
-2*b**2*(b - 1)*(b + 5)**2/9
Solve 50*n**3 + 38*n**3 + 16*n**4 + 5*n - 11*n**2 + 39*n**2 + 13*n**2 = 0 for n.
-5, -1/4, 0
Let q(d) = -d**2 - 14*d - 15. Let c be q(-14). Let o = 15 + c. Factor 2/7*t**3 + 0 + 0*t**2 + o*t.
2*t**3/7
Let x(f) = -4*f**2 - 12*f - 4. Let t(k) = -7 - 9 - 15*k**2 - 33*k - 14*k. Let a be -4 + 50/5 + 3. Let q(b) = a*x(b) - 2*t(b). Solve q(d) = 0.
-2, -1/3
Let t(x) be the second derivative of 2*x**6/15 + 4*x**5/5 - x**4 - 12*x**3 + 2*x - 12. Factor t(g).
4*g*(g - 2)*(g + 3)**2
Let j(u) be the second derivative of 0 - 5*u**3 - 20*u**2 - 5/12*u**4 - 7*u. Factor j(x).
-5*(x + 2)*(x + 4)
Let f(y) = -y + 1. Let q be f(-4). Let p = q - 3. Factor x**4 - x**p + 5 - 2*x**3 + 2*x - 3 - 2.
x*(x - 2)*(x - 1)*(x + 1)
Factor -17*n**2 - 139*n - 16*n**2 - 77*n + 49*n**2 - 20*n**2.
-4*n*(n + 54)
Let r be (5/15)/(1/81 - 0). Find f such that -10*f**2 + 29*f - 3 - r*f + 3 + 8*f**3 = 0.
0, 1/4, 1
Let b = 229799/745585 - 21/3637. Let t = b - -4/41. Determine c so that -2/5*c**2 + 4/5*c - t = 0.
1
Factor -50*w**2 - 8*w + 46*w**2 + 30 + 2.
-4*(w - 2)*(w + 4)
Find r, given that 1232/3*r + 25/9*r**3 + 635/9*r**2 - 484 = 0.
-66/5, 1
Let r = -2/1321 - -7940/9247. Find t such that 0 + 6/7*t**5 + r*t**2 + 0*t - 6/7*t**4 - 6/7*t**3 = 0.
-1, 0, 1
Let d(a) = -18*a**5 + 38*a**4 - 26*a**3 + 2*a**2. Let x(q) = -36*q**5 + 75*q**4 - 52*q**3 + 3*q**2. Let m(b) = -5*d(b) + 2*x(b). Factor m(v).
2*v**2*(v - 1)**2*(9*v - 2)
Let i(u) be the third derivative of -1/72*u**4 + 0*u**3 + 0*u - 1/180*u**6 + 0 + 1/1260*u**7 + 5*u**2 + 1/72*u**5. Factor i(p).
p*(p - 2)*(p - 1)**2/6
Suppose -a = -g - 3, -27*a = -28*a + 4*g + 6. Factor 4/3*s**a + 0 - 4/3*s.
4*s*(s - 1)/3
Let x be 6/(-9)*21*318/12. Let y = x + 4085/11. Factor -5/11*w**2 + 0 + y*w**3 + 1/11*w.
w*(w - 1)*(4*w - 1)/11
Let p = -11/21 - -204/385. Let y(f) be the third derivative of p*f**5 + 1/44*f**4 + 0 + 0*f - f**2 + 1/33*f**3. Factor y(q).
2*(q + 1)*(2*q + 1)/11
Let l(j) be the second derivative of 0*j**5 + 0 + 5/2*j**2 + 1/360*j**6 + 0*j**3 - 1/72*j**4 + 2*j. Let c(t) be the first derivative of l(t). Factor c(k).
k*(k - 1)*(k + 1)/3
Let b be 17/51 + (-1)/(-15). Let h = -10/17 + 67/85. Find g, given that 0 + 1/5*g**3 - b*g**2 + h*g = 0.
0, 1
Suppose 0 + 0*j - 2/7*j**3 + 10*j**2 = 0. What is j?
0, 35
Factor 2379*w**4 - 3*w**5 + 4*w**2 - 6*w**3 + 3 + 10*w - w - 2388*w**4 + 2*w**2.
-3*(w - 1)*(w + 1)**4
Let k(j) = -5*j**2 - 15*j + 20. Let s(d) = -3*d**2 - 7*d + 10. Let x = 28 - 26. Let m(a) = x*k(a) - 5*s(a). Factor m(y).
5*(y - 1)*(y + 2)
Let m(h) = h**3 + h**2 + 1. Let d(t) = -20*t**3 + 65*t**2 + 85*t - 25. Let s(n) = -d(n) - 25*m(n). Find a