**2. Solve j(p) = 0.
8/9, 26
Let w(a) = a**4 - a. Let p(z) = 40*z**2 - 3*z - 45 + 63*z**4 - 54*z**4 - 31*z + 30*z**3. Let n(j) = -p(j) + 4*w(j). Factor n(u).
-5*(u - 1)*(u + 1)*(u + 3)**2
Determine h, given that -4*h**3 + 3*h**3 - 406*h**2 - 266256*h + 38*h**2 - 664*h**2 + 0*h**3 = 0.
-516, 0
Let g(n) be the third derivative of -n**5/270 + 119*n**4/54 - 79*n**3/9 + 1091*n**2. Factor g(s).
-2*(s - 237)*(s - 1)/9
Let n(z) be the third derivative of z**7/735 - 13*z**6/210 - 31*z**5/210 + 26*z**4/21 + 36*z**3/7 + 1084*z**2. Let n(j) = 0. What is j?
-2, -1, 2, 27
Let v(h) be the second derivative of h**4/12 + 23*h**3 + 136*h**2 + 944*h. Find c such that v(c) = 0.
-136, -2
Suppose 2/9*i**4 + 4/9*i + 0 - 2/9*i**2 - 4/9*i**3 = 0. What is i?
-1, 0, 1, 2
Let z = 391714/685573 - -6/97939. Determine t so that z*t**2 + 60/7*t + 0 = 0.
-15, 0
Suppose 2 - 12 = 5*m, -s + m = -7. Determine v, given that 24*v**4 + 3*v**5 + 327*v**3 + v**s - 641*v**3 + 346*v**3 = 0.
-4, -2, 0
Let n(t) = -t**3 - t. Suppose 5*d = 22 + 28. Let y(q) = -12*q**3 + 2869*q + 4 - 2885*q - 6*q**2 - 6. Let r(o) = d*n(o) - y(o). Factor r(z).
2*(z + 1)**3
Let a(v) be the third derivative of v**8/4200 + v**7/175 + v**6/45 + 19*v**3/3 - 15*v**2 + v. Let m(u) be the first derivative of a(u). Factor m(p).
2*p**2*(p + 2)*(p + 10)/5
Let w(s) be the third derivative of -s**5/120 + s**4/16 + 5*s**3/6 - 2068*s**2. Factor w(c).
-(c - 5)*(c + 2)/2
Suppose 0 + 1/5*s**5 + 89/5*s**3 + 44/5*s**2 + 0*s + 46/5*s**4 = 0. Calculate s.
-44, -1, 0
Factor 96/5 + 51/5*k**2 + 146/5*k + 1/5*k**3.
(k + 1)*(k + 2)*(k + 48)/5
Suppose -4*l - 15 = -23. Suppose -2*m = -l*u, -3*u - 2*u + 20 = 5*m. Solve 5 + 0*j**3 - 307*j**2 + 314*j**m + j**3 + 11*j = 0 for j.
-5, -1
Let z(g) = -101*g**2 - g. Let u be z(-1). Let t = -81 - u. Let -35 - 5*q**2 + 45*q + t - 29 - 25 = 0. Calculate q.
2, 7
Let j(q) = q**3 - 14*q**2 + 28*q - 44. Let w be j(12). Let y(r) be the second derivative of 0 - 5/6*r**3 + 20*r + 5/24*r**w - 15/4*r**2. Factor y(p).
5*(p - 3)*(p + 1)/2
Let o = -62832 + 62840. Factor -29/2*u - 1/2*u**5 - 2*u**4 + o*u**2 + 3*u**3 + 6.
-(u - 1)**3*(u + 3)*(u + 4)/2
Factor -2510 - 1026*h**2 - 2067*h - 448*h + 1021*h**2.
-5*(h + 1)*(h + 502)
Let o(z) be the second derivative of -z**6/255 - 2*z**5/17 - 103*z**4/102 - 52*z**3/17 - z - 3505. Find t, given that o(t) = 0.
-13, -4, -3, 0
Let z(j) = -2*j**3 - 3*j**2 - j + 3. Let p(l) = 21*l**3 - 150*l**2 - 1744*l - 4358. Let r(a) = 4*p(a) + 44*z(a). Factor r(f).
-4*(f + 5)**2*(f + 173)
Let l = 163/498 - 40/249. Let a(j) be the first derivative of -l*j**4 - 7/6*j**2 - 2/15*j**5 + 8/9*j**3 + 2/3*j - 22 + 1/18*j**6. Factor a(i).
(i - 1)**4*(i + 2)/3
Let c = 7/3672 + 1829/3672. Factor 648 - 71/2*a**2 - 612*a - c*a**3.
-(a - 1)*(a + 36)**2/2
Let s(o) = -2*o**4 - 15*o**2 - o + 1. Let f(k) = 9*k**4 + 8*k**3 + 51*k**2 + 4*k - 4. Let r(j) = 5*f(j) + 20*s(j). Factor r(i).
5*i**2*(i - 1)*(i + 9)
Let k(t) be the first derivative of 75*t**2 - 5/3*t**3 + 155 + 0*t. Factor k(l).
-5*l*(l - 30)
Suppose -4*t + 6*t = -5*l + 61, t - 43 = -5*l. Factor 8*p**2 - 112 + t*p - 2*p**3 + 166 - 14*p**2.
-2*(p - 3)*(p + 3)**2
Let o(j) = -j**3 + 6*j**2 - 5. Let d be (-2)/3*3 + 5 - 2. Let i(z) = z - 1. Let v(x) = d*o(x) - 5*i(x). Factor v(k).
-k*(k - 5)*(k - 1)
Let n(w) be the first derivative of 2*w**3/3 + 88*w**2 - 546*w + 4285. Factor n(y).
2*(y - 3)*(y + 91)
Let g = 876 + -914. Let r = -23 - g. Suppose -1/3*h**5 - r*h + 9 - 1/3*h**4 + 2*h**2 + 14/3*h**3 = 0. Calculate h.
-3, 1, 3
Let h = -36641 + 36641. Let m(j) be the first derivative of 0*j**2 + 0*j**4 - 14 + 1/27*j**6 + 0*j**3 + 8/45*j**5 + h*j. Factor m(y).
2*y**4*(y + 4)/9
Let l(k) = -1 + 0*k**3 + k**5 + 28*k + k**4 - k**3 - 29*k. Let g(d) = 3*d**5 + 13*d**4 - 8*d**3 - 60*d**2 - 38*d + 2. Let r(h) = g(h) + 2*l(h). Factor r(s).
5*s*(s - 2)*(s + 1)*(s + 2)**2
Let h(f) = -11*f + 247. Let j be h(23). Let t be (-85)/35 - j - 3. Factor -2/7*s**3 - 10/7*s - 8/7*s**2 - t.
-2*(s + 1)**2*(s + 2)/7
Let s(j) = -2*j**2 + 26*j - 34. Let f(b) be the first derivative of -33*b - 1/3*b**3 + 27/2*b**2 + 3. Let r(l) = -2*f(l) + 3*s(l). Solve r(i) = 0 for i.
3
Factor 0*n**2 + 0*n + 428/5*n**3 + 0 + 424/5*n**4 - 4/5*n**5.
-4*n**3*(n - 107)*(n + 1)/5
Let y = 1/996 + 3319/996. Let s(n) be the second derivative of -5/12*n**4 - y*n**3 + 0 - 10*n + 0*n**2. Factor s(v).
-5*v*(v + 4)
Let p(r) be the second derivative of -r**7/63 + 13*r**6/90 + 2*r**5/5 + r**4/36 - 4*r**3/9 - 7*r + 12. Let p(c) = 0. Calculate c.
-1, 0, 1/2, 8
Let c = -14454 + 14470. Let d(q) be the first derivative of 12*q**2 + q**4 + c + 28/3*q**3 + 0*q. Solve d(t) = 0 for t.
-6, -1, 0
Suppose -4*b + 2*q = 166, -13*b + 40 = -14*b + 2*q. Let j be -2 + b/(-54) - (-4)/3. Suppose 1/9*y**3 - j*y + 1/3*y**2 - 2/9 - 1/9*y**4 = 0. What is y?
-1, 1, 2
Suppose -b + w = -7, 5*w - 3 = -b - 2. Let z(h) = h**3 - 7*h**2 + 4*h + 12. Let x be z(b). Suppose -6 + 3 - 3*v**3 + 3*v**2 + x + 9*v**3 - 6*v = 0. What is v?
-1, -1/2, 1
Factor 1211*a**3 - 579*a**3 - 578*a**3 - 117*a**2 + 3*a**4 + 60*a.
3*a*(a - 1)**2*(a + 20)
Let f(n) be the third derivative of n**6/30 - 5*n**5/6 + 31*n**4/12 + 22*n**3/3 + 2*n**2 - 350*n. Factor f(v).
2*(v - 11)*(v - 2)*(2*v + 1)
Let o(d) be the second derivative of -d**4/54 + 5360*d**3/27 - 7182400*d**2/9 - 17*d + 96. Factor o(l).
-2*(l - 2680)**2/9
Let x(n) be the first derivative of n**6/10 - 15*n**5/4 + 6*n**4 + 114*n + 155. Let g(h) be the first derivative of x(h). Solve g(s) = 0 for s.
0, 1, 24
Let g(h) be the third derivative of -h**5/30 + h**4/24 + 107*h**2. Let j(w) = -14*w**2 + 13*w. Let b(f) = 5*g(f) - j(f). Factor b(l).
4*l*(l - 2)
Let o(v) be the third derivative of -v**5/20 + 65*v**4/8 - 32*v**3 + 16*v**2 + 2. Factor o(t).
-3*(t - 64)*(t - 1)
Solve -39/2*m**2 - 56 + 1/2*m**4 - m**3 + 76*m = 0.
-7, 1, 4
Suppose 413*v**2 + 589*v**3 + 2036*v**3 + 660*v + 5507*v**2 - 85*v**4 = 0. What is v?
-2, -2/17, 0, 33
Determine b so that -11 + 3/4*b**3 - 71/4*b**2 + 28*b = 0.
2/3, 1, 22
Let p be (14 + 28)*(-28)/(-49). Let d be p/(32/4) + 0. What is r in 0*r + 0*r**d + 8/13 - 10/13*r**2 + 2/13*r**4 = 0?
-2, -1, 1, 2
Let l(n) = -2*n**5 + n**3 - n + 1. Let x(s) = -28*s**5 + 40*s**4 + 116*s**3 - 16*s + 16. Let c(j) = -16*l(j) + x(j). Suppose c(v) = 0. Calculate v.
-5, 0
Let p(c) be the second derivative of -3*c**7/2 + c**6/25 + 63*c**5/5 - 2*c**4/5 - 2196*c. Suppose p(d) = 0. What is d?
-2, 0, 2/105, 2
Suppose -7*w + 11 = 4. Let s(g) = -2*g**3 + g**2 + 1. Let t(u) = 5*u**3 - 33*u**2 + 255*u - 227. Let z(b) = w*t(b) + 2*s(b). Factor z(x).
(x - 15)**2*(x - 1)
Suppose 4904*n - 16041*n**3 + 12*n**4 + 16439*n**3 - 14*n**4 + 2436*n**2 + 3280 = 0. What is n?
-2, 205
Let t = -83 + 74. Let s be (39/t - -3)/((-4)/12). Let s*g**3 + 90 - 90 - 4*g**2 = 0. Calculate g.
0, 1
Let p(d) be the first derivative of 10404*d - 204*d**2 + 4/3*d**3 + 47. Suppose p(l) = 0. What is l?
51
Suppose -55*k + 84 + 26 = 0. Let c be -2*(15/(-21))/5. Solve 2/7*d**3 - 8/7*d + 12/7*d**k - c*d**4 - 16/7 = 0.
-2, -1, 2
Let f(b) = -b**2 - 22*b + 30. Let t(k) = k**2 + 22*k - 29. Suppose 21*q + 124 = -2. Let r(j) = q*f(j) - 7*t(j). Solve r(v) = 0.
-23, 1
Let g(z) = -11*z**3 - 92*z**2 + 140*z + 422. Let f(p) = 13*p**3 + 102*p**2 - 140*p - 423. Let r(l) = 6*f(l) + 7*g(l). Find y, given that r(y) = 0.
-2, 8, 26
Suppose -6*q + 8*q = 16. Let b be -8*(-2 + (-9)/(-6)). Factor -3*z**2 - q*z + 0*z**4 + b*z**4 - 9*z**2.
4*z*(z - 2)*(z + 1)**2
Let m(x) be the second derivative of -x**4/66 - 788*x**3/33 - 3*x - 8. Factor m(r).
-2*r*(r + 788)/11
Let r(n) = -62*n**2 - 27*n + 4. Let y be r(0). Find l such that 0 - 24/5*l + 76/5*l**y + 2*l**5 + 98/5*l**3 + 8/5*l**2 = 0.
-6, -1, 0, 2/5
Let w(b) be the first derivative of 0*b**2 + 1/3*b**3 + 1/6*b**4 + 8 + 24*b. Let t(u) be the first derivative of w(u). Solve t(d) = 0.
-1, 0
Let y(b) be the first derivative of 5*b**4/4 - 45*b**3 - 285*b**2/2 - 145*b + 1962. Factor y(l).
5*(l - 29)*(l + 1)**2
Let a be 10 + 0 + (-1992)/(-120) + 1 + -10. Let 18/5*t**3 - 48/5 - 12*t**2 - 2/5*t**4 + a*t = 0. Calculate t.
2, 3
Factor 7*b**2 - 12/5*b**3 - 24/5*b + 0 + 1/5*b**4.
b*(b - 8)*(b - 3)*(b - 1)/5
Let c(i) be the third derivative of -i**5/270 + 449*i**4/27 - 806404*i**3/27 - 4*i**2 + 7*i + 29. Factor c(r).
-2*(r - 898)**2/9
Suppose 3*w =