 - 488*r + 191. Let k(b) = b**4 + 2*b**3 - 2*b**2 - 3*b + 1. Let g(w) = -h(w) + k(w). Let g(i) = 0. Calculate i.
1, 2, 19
Let u(t) = t**2 + 1. Let l(o) = -4*o**3 + 22*o**2 + 64*o - 250. Let k be ((-15)/6 - -3) + 11/2. Let d(f) = k*u(f) - l(f). Factor d(j).
4*(j - 4)**2*(j + 4)
Let l(t) = 2*t**2 + 33 + 7*t - 36 + 16*t - 10*t. Suppose 0 = -3*u + 8*u + 35. Let d(s) = 2*s**2 + 12*s - 2. Let n(q) = u*d(q) + 6*l(q). Solve n(i) = 0.
-2, -1
Let i(b) be the second derivative of -b**4/6 + 83*b**3/3 + 84*b**2 + 8013*b. Find d such that i(d) = 0.
-1, 84
Factor -55*h**2 - 48*h**3 + 71*h**2 - 2*h**4 + 34*h**2.
-2*h**2*(h - 1)*(h + 25)
Let w(o) be the second derivative of o**7/63 - 127*o**6/270 + 32*o**5/45 + 9*o**4/4 - 29*o**3/27 - 20*o**2/9 - 25*o + 23. Suppose w(v) = 0. What is v?
-1, -1/3, 1/2, 2, 20
Let c be 8/84 - (-2)/6. Suppose -58865*t = -58875*t. What is p in 12/7*p + t - c*p**2 = 0?
0, 4
Let w(j) = 2*j**4 + j**3 - 2*j + 3. Let p(z) = 8*z**4 - 114*z**3 - 2124*z**2 - 9734*z + 5423. Let m(v) = p(v) - 5*w(v). Factor m(y).
-(y + 8)*(y + 26)**2*(2*y - 1)
Suppose 4*w - 5*n + 7 = 0, -w - 4*n + 12 + 2 = 0. Solve -163*p + 2*p**3 + 171*p - 6*p**w - p**3 = 0 for p.
0, 2, 4
Find g such that -11/8*g**4 - 3/4*g**3 + 3/2 + 33/8*g**2 + 5*g = 0.
-1, -6/11, 2
Let c(x) = -32*x**2 + 6*x + 4. Let i(w) be the second derivative of w**4/4 - w**3/6 + w - 37. Let n(r) = 4*c(r) + 44*i(r). What is f in n(f) = 0?
1, 4
Suppose 26*y - 41*y = -30. Factor -22*i - 28*i + y*i**3 - 8*i**2 + 58*i.
2*i*(i - 2)**2
Let a(r) = 78*r**2 - 32*r + 864. Let p(f) = 47*f**2 - 18*f + 432. Let m(q) = 3*a(q) - 5*p(q). Factor m(k).
-(k - 18)*(k + 24)
Let l(j) be the second derivative of -j**7/14 - 3*j**6 + 225*j**5/4 - 250*j**4 + 2*j + 1246. Factor l(x).
-3*x**2*(x - 5)**2*(x + 40)
Let r(g) = -g**3 + 6*g**2 - 7*g + 14. Let j be r(5). Let q be (2 - j - 0)*-37. Find w, given that -37*w**2 + q*w**2 - 36*w**2 + w**3 = 0.
-1, 0
Suppose -125 = -266*a + 407. Factor 0 + 40/3*s + 35/3*s**3 + 50*s**a.
5*s*(s + 4)*(7*s + 2)/3
Suppose -8 = s - 2*k, -4*s + 12 = -5*s + 3*k. Suppose p + s*p - 25 = 5*g, -7 = p + 3*g. Factor 31 - 31 - p*t**4.
-5*t**4
Let u(d) = -11*d - 249. Let l be u(-22). Let b be (-51)/18*2 - l. Factor b - 2/9*z**2 - 10/9*z.
-2*(z - 1)*(z + 6)/9
Let q be (-5)/(28/(-42)*(-9)/(-6)). Let y be 36/6 + q/((-40)/(-12)). Factor -6*c - y + 3/2*c**2.
3*(c - 5)*(c + 1)/2
Factor 56/9*d**2 - 200/9 - 142/9*d - 2/9*d**3.
-2*(d - 25)*(d - 4)*(d + 1)/9
Let s(v) be the third derivative of 1/105*v**5 + 3*v**2 + 0*v - 4/7*v**3 + 5/42*v**4 + 0. Factor s(h).
4*(h - 1)*(h + 6)/7
Let j be (-405)/108 - 11/(132/(-81)). Find x, given that 143/7*x - 169/7 + 1/7*x**j + 25/7*x**2 = 0.
-13, 1
Let k be ((-2724)/(-16) - 0)/(3/8). Let c = k + -258. Solve 196 - c - 8*u**3 - 4*u**4 = 0 for u.
-2, 0
Suppose -12 = -y - 2*l, -5*l = -16 - 4. Let a be ((-4)/6)/(10/(-45)). Solve -7 + 2*i**2 - i - a + 5*i + y = 0 for i.
-3, 1
Let o(d) be the second derivative of d**3/6 + 2*d**2 - 22*d. Let a be o(16). Factor -4 - 4*u**2 - a*u**2 + 16*u + 12*u**2.
-4*(u - 1)*(3*u - 1)
Let k be 1508/12 + 1 + (-2)/3. Find s, given that k*s + 9 - 3*s**2 + 17 - 84*s + 19 = 0.
-1, 15
Factor -116/9*b**2 - 1024/9*b - 704/3 + 2/9*b**3.
2*(b - 66)*(b + 4)**2/9
Solve -167*r**2 - 157*r**2 - r**3 + 3*r**3 + 2141*r + 71478 + 118*r**2 + 1849*r = 0.
-11, 57
Let w(y) = -4214*y - 25282. Let q be w(-6). Suppose -2/11*a**4 - 4/11*a + 0 - 8/11*a**3 - 10/11*a**q = 0. What is a?
-2, -1, 0
Let x(u) be the third derivative of u**6/40 - 4*u**5/25 + 13*u**4/40 - u**3/5 + 1270*u**2. Factor x(r).
3*(r - 2)*(r - 1)*(5*r - 1)/5
Find w, given that -7*w**2 + 2*w**2 + 7560385 + 1907544 + 6*w**2 - 6154*w = 0.
3077
Let v(i) be the third derivative of -i**6/270 - 68*i**5/135 - 578*i**4/27 + 1295*i**2. Factor v(l).
-4*l*(l + 34)**2/9
Suppose -8*s = -11*s + 15. Suppose -4*b**2 + 7*b**5 + 3*b**4 + 4*b**5 + 0*b**4 - 12*b**s = 0. Calculate b.
-1, 0, 2
Let l = 77 + -162. Let o be 2/17 + 10/l. Find h such that o*h + 2/9*h**2 + 0 - 2/9*h**3 = 0.
0, 1
Let s(v) be the second derivative of -9*v**4/16 - 79*v**3/8 + 741*v**2/4 - 7732*v. Suppose s(o) = 0. What is o?
-13, 38/9
Let q(j) be the first derivative of j**4/9 + 128*j**3/9 + 2048*j**2/3 + 237*j + 225. Let s(k) be the first derivative of q(k). Solve s(d) = 0.
-32
Let h(u) = -u**2 + 24*u - 50. Let i be h(22). Let l be 16/(-72) - i*20/54. Factor -2/5*q**3 - 14/5*q + 2*q**l + 6/5.
-2*(q - 3)*(q - 1)**2/5
Let k(j) be the third derivative of -j**5/270 - 13*j**4/54 - 40*j**3/9 - 2876*j**2. Factor k(v).
-2*(v + 6)*(v + 20)/9
Factor 3/5 + 229/5*a + 301/5*a**2 + 15*a**3.
(a + 1)*(a + 3)*(75*a + 1)/5
Factor 26/19*l - 24/19*l**2 - 6/19.
-2*(3*l - 1)*(4*l - 3)/19
Let i = 242170 + -968677/4. Factor 1/4*r**3 + i*r + 1/4 + 3/4*r**2.
(r + 1)**3/4
Let -453/5 + 454/5*f - 1/5*f**2 = 0. What is f?
1, 453
Suppose 1104 = 20*w + 644. Let l(y) be the first derivative of -w + 0*y + 1/9*y**2 - 2/27*y**3. Suppose l(s) = 0. Calculate s.
0, 1
Let o(d) = -9*d**3 + 310*d**2 - 2667*d + 576. Let a(g) = -g**2 + 5*g + 1 + 14*g + 4*g - 24*g. Let w(u) = 2*a(u) + o(u). Factor w(c).
-(c - 17)**2*(9*c - 2)
Let t(y) = y**3 - 3*y**2 - 4*y + 2. Let c be t(4). Suppose 5*m - 22 = -l - 2, c*l = 5*m - 35. Suppose 3*n**2 + 2*n**2 + 0*n**2 + 5 - 15 + m*n = 0. What is n?
-2, 1
Let f(r) be the third derivative of 0*r**3 - r**4 + 1/20*r**5 + r + 0 + 12*r**2. Solve f(a) = 0 for a.
0, 8
Suppose 2*o - 2*r - 249 = 15, -o + 122 = r. Suppose 25*z - 108*z + 332 = 0. Factor -v**z + 131*v**3 - o*v**3 + 4*v**2 - 3*v**4 + 2*v - 6*v.
-4*v*(v - 1)**2*(v + 1)
Factor 1/7*g**4 - 172/7*g + 96/7 + 57/7*g**2 + 18/7*g**3.
(g - 1)**2*(g + 8)*(g + 12)/7
Let i(q) be the third derivative of -q**8/672 + q**7/14 - 13*q**6/20 - 527*q**5/60 - 289*q**4/16 - 853*q**2. Find h, given that i(h) = 0.
-3, -1, 0, 17
Let k be 3 + -3 + 4 + -5 + 3. Suppose r + 3 = 0, 2*g + k*r = -2*g - 6. Factor -24/5*l**2 - 3/5*l**3 - 48/5*l + g.
-3*l*(l + 4)**2/5
Factor 1 + 679*v**2 + 192*v - 9217 - 680*v**2.
-(v - 96)**2
Let n = 2918 - 525239/180. Let l(i) be the third derivative of 21*i**2 + 0 - 1/315*i**7 + 0*i**5 + 0*i**3 - n*i**6 + 0*i**4 + 0*i. Find s such that l(s) = 0.
-1, 0
Let c(v) = 2*v**3 + 16*v**2 + 12*v - 3. Let q(n) = -n**3 - 5*n**2 - n - 2. Let w(z) = c(z) + 3*q(z). Factor w(o).
-(o - 3)*(o - 1)*(o + 3)
Determine q so that 1941/5*q**2 - 488/5*q**3 + 1/5*q**4 + 968/5 - 2422/5*q = 0.
1, 2, 484
Suppose -20 = 92*u - 112 - 276. Let t(y) be the third derivative of 35/6*y**3 + 25/6*y**u - 28*y**2 + 0*y + 0 - 1/4*y**5. Suppose t(n) = 0. What is n?
-1/3, 7
Let a be 6*(4/(-46) - (-120)/(-736))*(-10)/35. What is p in 1 - 22/7*p + a*p**2 = 0?
1/3, 7
Let p(f) = f**3 + 29*f**2 - 20*f - 105. Let s(o) = -5*o**2 - o + 1. Let l(m) = p(m) + 5*s(m). Factor l(z).
(z - 5)*(z + 4)*(z + 5)
Let j(i) be the first derivative of -i**4/4 + 35*i**3/12 + 97*i**2/8 + 11*i/2 - 236. Suppose j(h) = 0. Calculate h.
-2, -1/4, 11
Let z(o) be the first derivative of 0*o**2 - 5*o**4 + 85 + 12/5*o**5 + 8/3*o**3 + 0*o. Factor z(a).
4*a**2*(a - 1)*(3*a - 2)
Let n(h) be the first derivative of h**6/60 + 3*h**5/50 - 19*h**4/40 - 43*h**3/30 + 9*h**2/10 + 4*h - 271. Find l such that n(l) = 0.
-5, -2, -1, 1, 4
Let w(j) be the first derivative of -j**6/1080 - j**5/120 + j**4/4 + 13*j**3/3 - 41. Let t(g) be the third derivative of w(g). Suppose t(c) = 0. Calculate c.
-6, 3
Let r(l) be the first derivative of -1/6*l**4 + 2 + 0*l + 9/2*l**2 + 1/60*l**5 + 1/2*l**3. Let y(f) be the second derivative of r(f). Factor y(m).
(m - 3)*(m - 1)
Let s be (2/(-3))/((-9)/81). Suppose 4*i**3 + 90*i - s*i**4 + 16 - 30*i**3 - 28*i**2 - 35*i - 47*i = 0. Calculate i.
-2, -1, 2/3
Let k(s) be the second derivative of 1/30*s**4 + 0 - 21*s + 12/5*s**2 - 8/15*s**3. Factor k(w).
2*(w - 6)*(w - 2)/5
Let c(f) be the first derivative of f**4/8 - 77*f**3/6 + 74*f**2 - 146*f + 1529. Find q such that c(q) = 0.
2, 73
Let -91125 - 24300*i - 1350*i**2 - 1/5*i**4 - 28*i**3 = 0. Calculate i.
-45, -5
Let k(p) = p**2 + 9*p + 2. Let n be k(-9). Solve -n*o**3 + o**3 - 18*o**2 + 19*o**4 - 22*o**4 + 3*o**3 - 18*o + 5*o**4 = 0 for o.
-3, -1, 0, 3
Let w(z) be the third derivative of -z**6/180 + 29*z**5/15 - 616*z**4/3 - 15488*z**3/9 - 1776*z**2. Let w(y) = 0. Calculate y.
-2, 88
Let t = -218 - -238. Let x(c) = 315*c**3 + 315