*3 - 12/7*w**2 - d. Factor q(l).
-2*(l + 2)**3/7
Let r(o) = -2*o**3 - 6*o**2 + 7*o + 6. Let p(m) = m - 2. Let s(c) = c - 3. Let z(w) = -5*p(w) + 4*s(w). Let n(u) = -r(u) + 5*z(u). Determine d so that n(d) = 0.
-4, -1, 2
Let o(i) be the first derivative of -3*i**5/10 + 13*i**4/2 + 78*i**3 + 72*i**2 - 8823. Suppose o(l) = 0. Calculate l.
-6, -2/3, 0, 24
Let b(a) be the second derivative of -3*a**5/20 - 21*a**4/2 - 513*a**3/2 - 2166*a**2 + 3040*a. Factor b(d).
-3*(d + 4)*(d + 19)**2
Let r be ((-24)/(-26))/((-4)/10 + 4224/1760). Factor -2/13*n + 2/13*n**3 - 6/13*n**2 + r.
2*(n - 3)*(n - 1)*(n + 1)/13
Factor -237 + 407*n**3 + 126*n**2 - 54*n + 2*n**4 + 21 - 441*n**3.
2*(n - 12)*(n - 3)**2*(n + 1)
Suppose 0 = -3*v + 6, 6*k - k + 5*v + 24 = 49. Solve 18*p**2 - 147 - 3/2*p**k - 63/2*p = 0.
-2, 7
Find h, given that 32*h**4 - 159*h**2 - 165*h**2 - 143*h**2 + 180*h**3 + 395*h**2 = 0.
-6, 0, 3/8
Let -32/7*n - 34/7 + 2/7*n**2 = 0. Calculate n.
-1, 17
Let i = 251168 - 251168. Factor i*w + 24/5*w**3 + 2/5*w**4 + 0*w**2 - 2/5*w**5 + 0.
-2*w**3*(w - 4)*(w + 3)/5
Let a(v) = -4*v**2 + 1000*v + 25014. Let r be 20/(-120) + (-34)/12. Let x(n) = n**2 - 200*n - 5003. Let g(o) = r*a(o) - 14*x(o). Factor g(t).
-2*(t + 50)**2
Suppose 2*s - 26 = -11*s. Let w be (-4)/48*((-48)/9)/s. Factor -2/9*x - w*x**2 + 0.
-2*x*(x + 1)/9
Factor 1886562*v**2 + 4*v - 12*v - 1886530*v**2 - 34*v**3 + 10*v**4.
2*v*(v - 2)*(v - 1)*(5*v - 2)
Let l(k) be the third derivative of -k**6/100 + 223*k**5/150 + 5*k**4/2 + 1200*k**2. Factor l(w).
-2*w*(w - 75)*(3*w + 2)/5
Let a(y) be the second derivative of -60*y**2 + 6*y + 0 + 370/3*y**3 - 395/6*y**4 - 49/6*y**6 - 217/4*y**5. Let a(h) = 0. Calculate h.
-3, -2, 2/7
Let d(w) be the third derivative of -7*w**5/150 - 773*w**4/120 + 37*w**3/5 + 2*w**2 + 329. Let d(b) = 0. What is b?
-111/2, 2/7
Let l(d) be the first derivative of 17*d**5/5 - 105*d**4/2 + 55*d**3/3 + 105*d**2 - 72*d + 8669. Find g, given that l(g) = 0.
-1, 6/17, 1, 12
Let w(s) be the first derivative of -s**3/9 + 7*s**2/6 + 170*s/3 + 1702. Let w(h) = 0. What is h?
-10, 17
Let k(g) be the first derivative of -41/2*g**4 + 250 + 2/7*g + 256/21*g**6 - 64/5*g**5 + 31/7*g**2 + 446/21*g**3. Solve k(a) = 0.
-1, -1/16, 1
Let b(x) be the second derivative of -x**4/48 - 35*x**3/4 - 52*x**2 + 3781*x. Let b(k) = 0. Calculate k.
-208, -2
Suppose -1554 + 1545 = 3*p + 3*y, -3*y - 9 = 4*p. Let c(w) be the first derivative of 4/5*w**5 + 1/3*w**6 + 0*w + 1/2*w**4 + p*w**2 - 13 + 0*w**3. Factor c(b).
2*b**3*(b + 1)**2
Factor 160092 + 39*f**3 + 61*f**3 + 11540*f**2 - 159632 + 4604*f.
4*(f + 115)*(5*f + 1)**2
Let q(p) be the first derivative of -p**4/14 - 20*p**3/3 + 775*p**2/7 - 4000*p/7 - 4339. Find x, given that q(x) = 0.
-80, 5
Let i(v) = -3*v**2 + 21*v + 2. Let r be i(6). Let x be 10/r*(-15)/(-20). Find h such that 1/2*h - 1/8*h**5 + 0 - 1/2*h**4 + 1/2*h**2 - x*h**3 = 0.
-2, -1, 0, 1
Determine q so that -216/13 - 2/13*q**2 - 6*q = 0.
-36, -3
Suppose 6*x + 27 = 5*n + 3*x, -n + 5*x = -23. Suppose -n*h + 2*a - 139 = -137, -h = 3*a - 3. Factor h + 6*k + 175/2*k**3 - 44*k**2 - 49/2*k**4.
-k*(k - 3)*(7*k - 2)**2/2
Let b be (-99)/(-9) + 9/1. Let r(t) be the first derivative of -1 - 5/3*t**3 - 15/2*t**2 + b*t. Factor r(o).
-5*(o - 1)*(o + 4)
Let j(i) be the second derivative of -31*i + 5*i**3 + 6/5*i**5 - 3/2*i**2 - 17/4*i**4 + 0. Find h, given that j(h) = 0.
1/8, 1
Let y = 711982 - 711982. Solve 0*z - 12/5*z**3 + 3/5*z**4 + y*z**2 + 0 = 0 for z.
0, 4
Let p = 449 - 444. Let 2*k - 2 - k + 4*k**2 + p*k - 3*k + 4*k = 0. What is k?
-2, 1/4
Let m(c) = c**2 - 4*c - 68. Let j be m(11). Suppose -2*f + j*f = -9*f. What is w in 1/3*w**2 + f - 1/3*w = 0?
0, 1
Suppose 99*m - 16 = 95*m. Factor -58639 - 143344*p - 632*p**3 - m*p**4 - 13464*p**2 + 90210 + 75413 + 228*p**3 + 50232.
-4*(p - 1)*(p + 34)**3
Let u(j) = -3*j**3 + 15*j**2 - 2*j - 10. Let t be u(5). Let k be ((-8)/t)/(30/25). Factor -1/6*a**3 - k*a**2 + 0*a + 0.
-a**2*(a + 2)/6
Let z = -547 + 559. Let l(f) be the first derivative of 1/3*f**3 + z - 1/20*f**5 - 3/4*f - 1/8*f**4 + 1/4*f**2. Factor l(j).
-(j - 1)**2*(j + 1)*(j + 3)/4
Let z be 72 + (-8628)/(-2400)*-20. Determine m so that z*m**2 - 8/5 - 3/5*m = 0.
-2, 8
Let u be (-25 - 590/(-20))*(32/12 + -2). Factor -2/9*s**u - 20/9 - 4/9*s**2 + 26/9*s.
-2*(s - 2)*(s - 1)*(s + 5)/9
Let d be 2/(140/75)*(-48)/(-60)*1078/231. What is t in 4/3*t - 4/3*t**3 + 4/3 - 1/3*t**d - t**2 = 0?
-2, -1, 1
Let l(v) be the third derivative of 35/12*v**4 - 15/4*v**3 - 1/8*v**5 + 0*v + 14*v**2 + 4. Find p, given that l(p) = 0.
1/3, 9
Let u be 1/4 - (-8)/(128/28). Solve -u*d**2 - 4*d**3 + 6*d**2 + 8*d**5 - 7*d**4 + 27*d**4 + 20*d**3 = 0.
-1, -1/2, 0
Let u(w) be the first derivative of 4*w**6/9 + 54*w**5/5 + 76*w**4/3 - 122*w**3/3 - 18*w**2 - 2095. Solve u(r) = 0.
-18, -3, -1/4, 0, 1
Let y be 27/63*(-2772)/(-594). Determine m, given that 29/4*m**4 + 0 + 1/4*m**5 + 0*m + 49*m**y + 56*m**3 = 0.
-14, -1, 0
Let u(r) be the first derivative of -r**4/40 + 599*r**3/30 - 239*r**2/4 + 597*r/10 + 1195. Factor u(q).
-(q - 597)*(q - 1)**2/10
Let b(q) = -13*q**3 - 177*q**2 + 179*q + 11. Let n(f) = -7*f**3 - 88*f**2 + 89*f + 6. Let y(k) = -6*b(k) + 11*n(k). Find c such that y(c) = 0.
-95, 0, 1
Let k be ((-8)/(-77))/(1860/10230). Let 24/7 - 4/7*m - 16/7*m**2 - k*m**3 = 0. Calculate m.
-3, -2, 1
Suppose 7*w - 5*w = 46. Suppose 18*d = w*d - 30. What is k in -13*k + 2*k**4 + d*k**2 + 5*k + 14*k**2 + 2*k**4 - 16*k**3 = 0?
0, 1, 2
Let k(z) be the first derivative of 12*z**5/25 - 67*z**4/5 - 212*z**3/15 + 326*z**2/5 - 184*z/5 - 2314. Determine g so that k(g) = 0.
-2, 1/3, 1, 23
Let g = 582 - 580. Let x(c) be the first derivative of 4/9*c**3 - 1/3*c**4 + 8/3*c**g - 16/3*c - 17. Factor x(p).
-4*(p - 2)*(p - 1)*(p + 2)/3
Let c be 161175/4200 - (33 + 5). Let x = -1103/24 - -139/3. Solve -3/8*d**3 + c - x*d**2 + 3/8*d = 0.
-1, 1
Let p = 167922 - 1511296/9. Solve -p*v**3 + 4/9*v**2 + 10/3*v + 0 = 0.
-3, 0, 5
Suppose 0 = 5*u + 2*d + 171, -2*u - 17*d + 13*d - 62 = 0. Let a be -3 - 6/24*460/u. Find m, given that 0*m**2 - a*m**3 + 6/7*m + 4/7 = 0.
-1, 2
Let h(i) = 2*i**5 + 56*i**4 + 100*i**3 - 2*i**2 - 2. Let w(g) = -5*g**5 - 166*g**4 - 298*g**3 + 7*g**2 + 7. Let p(l) = -7*h(l) - 2*w(l). Factor p(z).
-4*z**3*(z + 2)*(z + 13)
Let 18*d**3 - 264/13*d + 296/13*d**2 + 10/13*d**4 + 0 = 0. Calculate d.
-22, -2, 0, 3/5
Let u(t) = -5741*t + 22968. Let z be u(4). Factor 20/7*k**3 - 16/7*k**z + 0*k - 8/7*k**2 + 4/7*k**5 + 0.
4*k**2*(k - 2)*(k - 1)**2/7
Suppose 0 = -5*c + 2*l + l + 340, 0 = 3*c - 5*l - 188. Factor 15*r**2 + 71 - c + 2*r**3 + 3*r**3.
5*r**2*(r + 3)
Solve 140*u**3 - 4324*u**4 + 4320*u**4 - 144*u**3 = 0.
-1, 0
Let m be (7/(-3) + 2)/(2/(-18)). Suppose 6*g + m = 33. Find r, given that 6*r**3 - 2*r**2 + 2*r**4 + 0*r - 2174*r**5 - 4*r + 2172*r**g = 0.
-1, 0, 1, 2
Let 0 - 23/7*a**2 + 0*a - 47/7*a**3 - 1/7*a**5 - 25/7*a**4 = 0. Calculate a.
-23, -1, 0
Let x be (-24 + 26)/(-1 - 26/(-13)). Factor 17/6*t**x - 5/2*t**3 + 5/2*t - 1/6*t**4 - 8/3.
-(t - 1)**2*(t + 1)*(t + 16)/6
Let d(l) = 400*l**2 - 92*l - 7. Let a(i) = -804*i**2 + 184*i + 13. Let o(z) = -4*a(z) - 7*d(z). Factor o(v).
(4*v - 1)*(104*v + 3)
Let h(y) be the first derivative of -18 - y**2 + 1/3*y**3 + 1/60*y**5 + 0*y + 1/8*y**4. Let j(m) be the second derivative of h(m). Factor j(a).
(a + 1)*(a + 2)
Let p(x) be the third derivative of -x**7/42 - x**6/2 - 23*x**5/12 + 15*x**4/2 + 4*x**2 + 60. Suppose p(d) = 0. Calculate d.
-9, -4, 0, 1
Find r, given that 34/15*r + 46/5*r**2 + 2/15*r**4 - 28/3 - 34/15*r**3 = 0.
-1, 1, 7, 10
Factor 4/7*s**2 + 76/7*s**3 + 0 + 0*s - 164/7*s**4 + 12*s**5.
4*s**2*(s - 1)**2*(21*s + 1)/7
Let 54*j**3 - 4/5*j**2 + 0 + 0*j = 0. What is j?
0, 2/135
Factor 582 - 1/4*t**2 - 191/2*t.
-(t - 6)*(t + 388)/4
Determine w so that -3820/3*w + 16/9*w**2 - 956 = 0.
-3/4, 717
Let b(u) be the third derivative of 0 - 19/72*u**4 + 1/360*u**5 + 181*u**2 + 0*u + 361/36*u**3. Suppose b(c) = 0. What is c?
19
Let v(g) be the second derivative of g**6/225 - g**5/5 + 6*g**4/5 - 104*g**3/45 + 1468*g. Factor v(h).
2*h*(h - 26)*(h - 2)**2/15
Let n(i) be the second derivative of -i**5/100 + 77*i**4/12 + 193*i**3/15 + 54*i + 2. Factor n(o).
-o*(o - 386)*(o + 1)/5
Let z(w) be the second derivative of -w**5/12 + 31*w**4/12