*2 + n. Let s(z) = -2*i(z) - 8*x(z). Determine h, given that s(h) = 0.
-2, 0, 1
Let y(k) be the third derivative of k**6/480 + 791*k**5/80 + 625681*k**4/32 + 494913671*k**3/24 + 2*k**2 - 5*k - 25. Factor y(b).
(b + 791)**3/4
Suppose 0 = -l + 4*l - 0*l. Suppose -p + 4 = 2*o, l = -6*p + p + 4*o + 6. Determine h, given that 37*h**2 + 18*h**3 - 69*h**2 - 18*h + 36*h**p - 4 = 0.
-1, -2/9, 1
Suppose h = -3 + 14. Suppose 5*n + h = 56. Factor 6*a**3 + 4*a**3 + n*a**4 - 4*a**4 + 5*a**2.
5*a**2*(a + 1)**2
Let b(t) be the first derivative of -t**3/4 + 9*t**2/8 - 3*t/2 - 492. Let b(h) = 0. What is h?
1, 2
Factor -14 + 40/3*w + 2/3*w**2.
2*(w - 1)*(w + 21)/3
Let g(f) be the first derivative of 1/3*f**2 - 2/45*f**5 - 24 + 0*f - 14/27*f**3 + 5/18*f**4. Factor g(w).
-2*w*(w - 3)*(w - 1)**2/9
Let q(k) = 37*k**2 + 1214*k + 73209. Let l(g) = -140*g**2 - 4855*g - 292835. Let o(f) = -4*l(f) - 15*q(f). Factor o(h).
5*(h + 121)**2
Let m = 56731/198 - 6301/22. Factor 0 + m*x**3 + 0*x + 0*x**2.
x**3/9
Find o, given that -75 + 46*o + 42 - 39*o**2 + 3*o**3 + 8*o + 15*o = 0.
1, 11
Let i(r) = -9*r**3 - r**2 + 4*r + 8. Let m be i(-2). Let p be ((-425)/m)/(4/(-2)). Factor 1/8*j**2 + p - 5/4*j.
(j - 5)**2/8
Let z(s) = 2*s**2 + 14*s - 148. Let f be z(10). Factor -9 + f - k**4 + 3*k**3 + 64 + 15 + 297*k + 81*k**2 + 62.
-(k - 12)*(k + 3)**3
Suppose -63*u + 117 = 7*u - 93. Let b(v) be the first derivative of -294*v - 19 - 21*v**2 - 1/2*v**u. Suppose b(h) = 0. What is h?
-14
Let n(g) = 37*g**3 + 7*g**2 - 5973*g - 87087. Let z(s) = -10*s**3 - 2*s**2 + 1493*s + 21771. Let m(l) = -3*n(l) - 11*z(l). Suppose m(u) = 0. Calculate u.
-22, 45
Find j, given that 38*j**2 - 2/3*j**3 - 9610/3 - 434*j = 0.
-5, 31
Let h(k) be the third derivative of -k**5/270 - 20*k**4/27 + 3*k**3 - 2*k**2 + 59*k + 14. Factor h(a).
-2*(a - 1)*(a + 81)/9
Determine k so that 28/5*k**3 - 124/5*k - 4/5*k**4 - 12/5*k**2 - 16 = 0.
-1, 4, 5
Let n = 22 + 4. Suppose 3*x = 3*c + n + 1, -3*c - 22 = -2*x. Suppose 64*o**3 - 31 + 27*o**5 + 6*o**2 + 7 - 52*o - 39*o**x + 16*o**4 + 2*o**2 = 0. Calculate o.
-1, -2/3, 1, 3
Let z(c) be the first derivative of c**6/39 + 128*c**5/65 + 125*c**4/26 + 124*c**3/39 - 457. Factor z(p).
2*p**2*(p + 1)**2*(p + 62)/13
Let w(n) be the first derivative of -n**7/6720 - n**6/1440 + n**5/320 - 65*n**3/3 - 5. Let j(i) be the third derivative of w(i). Let j(g) = 0. Calculate g.
-3, 0, 1
Let q(c) be the second derivative of -c**7/10 - 601*c**6/50 - 8403*c**5/20 - 47351*c**4/20 - 20008*c**3/5 + 10086*c**2/5 + 3917*c. Solve q(y) = 0 for y.
-41, -2, 1/7
Let x(f) = 13*f**4 + 35*f**3 - 9*f + 18. Let w(j) = 3*j**4 + 9*j**3 - 2*j + 4. Suppose -5*n + 80 = 60. Let b(k) = n*x(k) - 18*w(k). Solve b(o) = 0 for o.
-11, 0
Let r be (225/(-27))/((-62)/6 + 7). Suppose -3 - r*l - 1/2*l**2 = 0. What is l?
-3, -2
Let b(o) be the third derivative of -o**7/105 - 97*o**6/15 - 18623*o**5/15 + 6305*o**4 - 12675*o**3 - o**2 - 66*o. Suppose b(z) = 0. Calculate z.
-195, 1
Let m(h) be the third derivative of -18*h**5/35 + 23*h**4/6 + 2*h**3/7 + 3229*h**2. Let m(p) = 0. Calculate p.
-1/54, 3
Let i(r) = -r**2 - r. Let b(c) = -c**3 + 5*c**2 + 5*c - 1. Let q be 3*(-4 + (-204)/(-9)). Let t = -44 + q. Let y(g) = t*i(g) + 3*b(g). Factor y(n).
-3*(n - 1)**2*(n + 1)
Let f be ((-32)/(-14))/(50/125). Suppose 555*a = 537*a + 63 - 9. Find j such that 4/7*j**4 + f*j + 48/7*j**2 + 24/7*j**a + 12/7 = 0.
-3, -1
Let o be 498*(-6)/(-216)*6. Factor 4*g**5 + 79*g - 12*g**5 + 236*g**3 + o*g - 73*g**2 + 10*g**5 - 287*g**2 - 40*g**4.
2*g*(g - 9)**2*(g - 1)**2
Let o(f) = -f**3 - 45*f**2 - 256*f + 385. Let y be o(-38). Suppose -3/2*w**2 + 2*w**3 - 9/4*w + 3/2*w**4 + 0 + 1/4*w**y = 0. Calculate w.
-3, -1, 0, 1
Let o(z) be the second derivative of -6*z**4 - 54*z + 1/63*z**7 - 39*z**3 + 8/45*z**6 + 1/5*z**5 - 108*z**2 + 0. Factor o(s).
2*(s - 4)*(s + 3)**4/3
Let l(s) = s**3 - 9*s**2 - 8*s - 14. Let r be l(10). Let t be (r/(-4))/(15/(-860)). Solve t - 14*a - 62 + 232 - 50*a + 4*a**2 = 0.
8
Let y = -26039/4 + 6512. Let c(a) be the second derivative of 5*a - y*a**4 + 0*a**2 - 1/10*a**6 + 0 + 3/2*a**5 + 0*a**3. Factor c(f).
-3*f**2*(f - 9)*(f - 1)
Let l(u) = -u**4 - u**2 - 1. Let x(t) = -9*t**5 + 380*t**4 - 3703*t**3 - 6954*t**2 - 3344*t - 485. Let p(z) = 4*l(z) - 4*x(z). Determine q, given that p(q) = 0.
-1, -1/3, 22
Let x(f) be the first derivative of -25*f**6/6 - 103*f**5 - 265*f**4/4 + 715*f**3/3 + 145*f**2 - 200*f - 4. Solve x(n) = 0 for n.
-20, -1, 2/5, 1
Let f be 129*(7/(-6) + 201/134). Let p(u) be the second derivative of -f*u - 1 + 1/14*u**5 + 1/21*u**3 - 4/21*u**4 + 2/7*u**2. Find r, given that p(r) = 0.
-2/5, 1
Factor -124/3*u - 2/3*u**2 + 256/3.
-2*(u - 2)*(u + 64)/3
Suppose g + 3*o = 8, g + g + 4*o = 12. Let j(x) be the second derivative of 2*x**g + 0 + 5/6*x**3 + 1/12*x**4 + 11*x. Let j(v) = 0. What is v?
-4, -1
Let v(m) = 65*m**4 - 19*m**3 - 37*m**2 + 57*m. Let q(z) = -98*z**4 + 18*z**3 + 38*z**2 - 57*z. Let n(u) = 2*q(u) + 3*v(u). Let n(h) = 0. Calculate h.
-19, -3, 0, 1
Let k(w) be the first derivative of w**6/180 - w**5/15 + w**4/4 + w**3/3 + 21*w**2/2 - 62. Let l(a) be the third derivative of k(a). Factor l(p).
2*(p - 3)*(p - 1)
Suppose -305*y**2 + 302*y**2 - 1643 - 998 - 1247 + 216*y = 0. What is y?
36
Let z(t) be the first derivative of -12 - t + 15/2*t**2 - 5/12*t**4 + 5/3*t**3. Let k(r) be the first derivative of z(r). Solve k(s) = 0.
-1, 3
Suppose 24 = 4*s - 16. Suppose -l = -32 + s. Factor -l*d**3 - 5 + 20*d**3 - 2*d**5 + 4*d**4 + 5.
-2*d**3*(d - 1)**2
Suppose 5*u = o + 3*o - 20, 0 = -u. Suppose -4*z - 4*f = -168, 183 = 4*z - 0*f - f. Factor -23*l - o*l**2 - 3*l**3 - 23*l + 1 + z*l.
-(l + 1)**2*(3*l - 1)
Let u be (-756)/198 + (-2)/11. Let k(c) = 2*c**2 - c + 1. Let t(i) = 15*i**2 + 23*i + 36. Let z(b) = u*t(b) + 28*k(b). Factor z(l).
-4*(l + 1)*(l + 29)
Let j = 131 + -137. Let m be (-264)/(-45) - (j/45)/1. What is v in -251 + 76*v - m*v - 5*v**2 + 6 = 0?
7
Determine v, given that 6/5*v**2 - 9/5*v - 14/5 + 1/5*v**3 = 0.
-7, -1, 2
Let s(i) be the third derivative of i**8/6720 + i**7/420 + i**6/60 - i**5/6 + i**4/24 + 195*i**2. Let g(n) be the third derivative of s(n). Factor g(c).
3*(c + 2)**2
Let f(j) = 331*j**2 + 886*j - 33. Let d(c) = -3*c**2 + 4*c + 3. Let g(q) = 24*d(q) + 3*f(q). Factor g(i).
3*(i + 3)*(307*i - 3)
Let 12/5*r**3 + 14/5*r - 16/5*r**4 + 32/5*r**2 - 2*r**5 + 0 = 0. What is r?
-1, 0, 7/5
Factor -54/11*l - 248/11 + 2/11*l**2.
2*(l - 31)*(l + 4)/11
Let l = 2294336/3 - 764770. Factor -l*h**3 - 4/3*h**2 + 0*h + 0.
-2*h**2*(13*h + 2)/3
Suppose -3*a + 312 = -3*o, -39*a = -38*a + o - 104. Let x = a + -286/3. Factor 4*k**3 + 8/3 + 2/3*k**4 + x*k**2 + 8*k.
2*(k + 1)**2*(k + 2)**2/3
Let f be (-9)/99 + 10222/33. Let v = f - 309. Find d, given that 0 + v*d + 2/3*d**2 = 0.
-1, 0
Let w(u) be the third derivative of -1/18*u**5 + u**2 + 0*u**3 - 1/18*u**4 - 1/45*u**6 + 2 + 0*u - 1/315*u**7. Determine c, given that w(c) = 0.
-2, -1, 0
Suppose -64*o - 2/7*o**3 - 832/7 - 68/7*o**2 = 0. Calculate o.
-26, -4
Let m = 1952 - 275234/141. Let o = 709/282 + m. Factor 0*p**2 + o*p**3 - 5/2*p + 0.
5*p*(p - 1)*(p + 1)/2
Factor 16*r - 78/5 - 2/5*r**2.
-2*(r - 39)*(r - 1)/5
Let f(x) be the second derivative of x**6/75 + x**5/50 - 8*x**4/15 + 4*x**3/3 + 5327*x. Factor f(c).
2*c*(c - 2)**2*(c + 5)/5
Let h = -239036/3 + 79680. Factor -2*y**2 + 2/3*y**4 + 0 + 0*y**3 - h*y.
2*y*(y - 2)*(y + 1)**2/3
Let i(q) be the third derivative of -q**5/40 - 607*q**4/8 - 368449*q**3/4 - q**2 - 336. Let i(f) = 0. What is f?
-607
Let 2061 - 371*v + 2035 + v**2 + 243*v = 0. What is v?
64
Factor 324*z**3 + 327*z**3 + 10*z - 12*z**2 + 15 - 982*z**3 + 333*z**3 + 9.
2*(z - 4)*(z - 3)*(z + 1)
Let b(z) be the second derivative of z**8/4200 + z**7/350 - 7*z**6/900 + 5*z**3/6 - z**2 - 20*z. Let f(m) be the second derivative of b(m). Factor f(g).
2*g**2*(g - 1)*(g + 7)/5
Let u = 11062/6945 - -10/1389. Let z = 314/5 + -62. Factor -2/5*q**3 + z + u*q**2 - 2*q.
-2*(q - 2)*(q - 1)**2/5
Let t(l) = l**3 - 75*l**2 - 554*l + 5508. Let f be t(81). Determine h so that 6/7*h + 54/7*h**2 + f = 0.
-1/9, 0
What is j in 1/6*j**4 + 35/6*j - 11/3 - 11/6*j**3 - 1/2*j**2 = 0?
-2, 1, 11
Factor 4/5*x**2 + 4964/5*x - 4968/5.
4*(x - 1)*(x + 1242)/5
Let o(y) be the third derivative of -y**7/1890 - y*