ative of -18*a**4 - 22 + 5*a + w*a**2 + 132*a**3 + 99*a**4 - 10 - a. Factor n(z).
4*(z + 1)*(9*z + 1)**2
Suppose -318*y**2 + 481*y + 120 - 26*y - 20*y**3 + 342*y**2 - 129*y**2 = 0. Calculate y.
-8, -1/4, 3
Let h(p) = 6*p**2 + 55*p + 53. Let r be h(-8). Let s be (-240)/(-32) - (9 + r). Factor -s + y**4 - 7/2*y - 3/2*y**2 + 3/2*y**3.
(y + 1)**3*(2*y - 3)/2
Let y(j) be the second derivative of 19*j**8/26880 - j**7/420 + j**6/576 + j**4/6 - 5*j**3 + 2*j + 49. Let c(h) be the third derivative of y(h). Factor c(f).
f*(f - 1)*(19*f - 5)/4
Let n(q) be the second derivative of 38/15*q**3 + 1/30*q**4 + 0 + 67*q + 361/5*q**2. Suppose n(y) = 0. Calculate y.
-19
Factor -481062*u + 261*u**2 - 1576*u**2 + 481047*u - 2150*u**3.
-5*u*(5*u + 3)*(86*u + 1)
Solve 4471*g**2 - 28*g**3 - 69*g**4 + 81*g**4 - 4495*g**2 = 0 for g.
-2/3, 0, 3
Let s(w) be the second derivative of -w**4/66 + 16*w**3/33 - 5*w**2 - 99*w + 3. Solve s(d) = 0 for d.
5, 11
Let m(g) be the first derivative of -g**7/105 - g**6/15 - g**5/15 + g**4/3 + g**3 - 16*g**2 - 87. Let j(d) be the second derivative of m(d). Factor j(z).
-2*(z - 1)*(z + 1)**2*(z + 3)
Let s = 352107/8 - 352103/8. Find c such that -729/2 - s*c**2 - 27*c = 0.
-27
Let b(y) be the first derivative of 2*y**6/21 - 164*y**5/5 + 20733*y**4/7 - 79508*y**3/21 - 81796*y**2/7 - 5904. What is p in b(p) = 0?
-1, 0, 2, 143
Solve 121032 + 1/2*n**2 + 492*n = 0 for n.
-492
Let m(c) be the second derivative of c**7/4620 - c**6/330 + c**5/55 - 2*c**4/33 + 13*c**3/3 - 86*c. Let z(q) be the second derivative of m(q). Factor z(y).
2*(y - 2)**3/11
Let l(o) be the second derivative of -o**5/40 + 1375*o**4/12 - 1890625*o**3/12 - 4250*o. Determine v so that l(v) = 0.
0, 1375
Let g be -8 - -1*(-1)/(-5)*(-1393915)/(-34782). Let p(h) be the second derivative of -34*h + g*h**4 - 1/33*h**3 - 6/11*h**2 + 0. Factor p(m).
2*(m - 3)*(m + 2)/11
Let d(a) be the first derivative of a**3/3 - 2*a**2 + 2*a - 17. Let j be d(4). Factor 2 - 3*b**2 - 5*b**2 + 2*b**2 + 4*b**j.
-2*(b - 1)*(b + 1)
Let r(t) be the second derivative of -t**4/12 + 18*t**3 + 3000*t. Factor r(w).
-w*(w - 108)
Let k(v) = 20*v**3 - 374*v**2 - 6040*v - 41592. Let s(w) = w**3 - 10*w**2 + w - 1. Let b(g) = 2*k(g) - 36*s(g). Factor b(o).
4*(o - 123)*(o + 13)**2
Let w(n) = -n**5 - n**4 - n**3 + 2*n**2 + n + 2. Let j(k) = -8*k**5 - 10*k**4 + k**3 + 26*k**2 - 9*k + 14. Let m(q) = 3*j(q) - 21*w(q). Solve m(z) = 0 for z.
-4, -2, 0, 1, 2
Suppose 173 - 9 + 124 = 96*h. Let z(d) be the first derivative of 6/7*d + 1/7*d**h + 12 + 9/14*d**2. Suppose z(x) = 0. Calculate x.
-2, -1
Suppose -5*d + 71 + 129 = 0. Let o = d + -38. Factor -2*q - 7*q**2 + 2*q + 8*q**2 - o*q + q**3.
q*(q - 1)*(q + 2)
Factor 108*p - 2*p**2 - 1079*p - 448391 - 936057 - 2357*p.
-2*(p + 832)**2
Let w(t) be the second derivative of -3*t**5/40 + 81*t**3/4 + 2126*t. Solve w(x) = 0 for x.
-9, 0, 9
Let c(u) = -5*u**2 - 1647*u + 675669. Let x(v) = 8*v**2 + 3293*v - 1351343. Let f(i) = 10*c(i) + 6*x(i). Factor f(o).
-2*(o - 822)**2
Let m(l) = -l**2 + 25*l - 112. Let o be m(6). Factor -764 + 170*u**o + 888 + 620*u + 476 + 5*u**3.
5*(u + 2)**2*(u + 30)
Let v(n) be the third derivative of -n**8/168 - 8*n**7/105 + n**6/12 + 4*n**5/3 - n**4/3 - 32*n**3/3 - 4*n**2 + 48*n. What is y in v(y) = 0?
-8, -2, -1, 1, 2
Let o(q) = 2*q**3 - 181*q**2 - 368*q - 200. Let a(j) = -8*j**3 + 723*j**2 + 1470*j + 804. Let v(c) = -6*a(c) - 26*o(c). Find x such that v(x) = 0.
-1, 94
Let x(t) be the third derivative of 1/30*t**5 - 1/3*t**4 + 0 + 16*t**2 + 0*t**3 + 0*t. Let x(b) = 0. Calculate b.
0, 4
Let y = 19 - 16. What is a in 80*a**2 + 11 - 35*a - 24*a**y - 8*a**4 - 28*a + 13 + 4*a**5 - 13*a = 0?
-3, 1, 2
Suppose 0 = 446*z + 2451 - 3343. Let w = 13 + -38/3. Solve 2/3*m + 0 - w*m**z = 0 for m.
0, 2
Let i = 2329 + -2324. Let f(v) be the third derivative of 0*v + 0*v**3 - 1/20*v**i - 3/8*v**4 - 11*v**2 + 0. Let f(b) = 0. Calculate b.
-3, 0
Let d(h) be the second derivative of -h**5/110 - h**4/6 + 265*h**3/33 - 23*h**2 - 67*h + 4. Determine k so that d(k) = 0.
-23, 1, 11
Suppose 2*o + a - 4 = 8, 0 = 2*o - 3*a - 4. Suppose 0 = o*k - 4*s - 26, 0 = -3*k - s - 0 + 2. Factor -4 + 12*f**k + 5*f + 12*f**2 - 25*f**2.
-(f - 4)*(f - 1)
Let o be ((-105)/(-21) - 5)/((-19)/19). Find n, given that o + 4/3*n + 461/3*n**3 + 805/3*n**4 + 80/3*n**2 = 0.
-2/7, -1/5, -2/23, 0
Suppose 9181 - 9181 = 13*l. Solve -2/9*u**2 - 2/3*u + l = 0 for u.
-3, 0
Let m(r) = -3*r**2 + 5*r. Let g(p) be the second derivative of 20*p**4/3 - 45*p**3/2 - 41*p. Let y(f) = -2*g(f) - 55*m(f). Factor y(c).
5*c*(c - 1)
Suppose -154 = 5*s + 126. Let i be s/(-42)*(3 + -7 - -7). Let 0*r + 1/3*r**3 + 2/9*r**2 - 1/9*r**5 + 0*r**i + 0 = 0. What is r?
-1, 0, 2
Let b(r) = -5*r**4 + 2*r**3 + r**2 + r - 1. Let v(p) = -19*p**4 + 776*p**3 + 221188*p**2 + 28311556*p + 1358954492. Let f(k) = 20*b(k) - 5*v(k). Factor f(w).
-5*(w + 192)**4
Let g(x) be the third derivative of 47*x**8/224 + 48*x**7/35 + 149*x**6/40 + 53*x**5/10 + 63*x**4/16 + x**3 + 191*x**2 + 6*x. Factor g(i).
3*(i + 1)**4*(47*i + 4)/2
Let u(v) be the first derivative of 75*v - 38 + 1/6*v**6 + 205/2*v**2 + 66*v**3 + 41/2*v**4 + 3*v**5. Let u(j) = 0. What is j?
-5, -3, -1
Let w(s) = 348*s + 2. Let k be w(0). Let r(o) be the second derivative of 1/15*o**6 + 0*o**3 + o + 0 + 0*o**k - 2/5*o**5 + 2/3*o**4. Factor r(d).
2*d**2*(d - 2)**2
Let a be (-2 - 115/30)/(0/(-3) + -2). Let q(n) be the third derivative of -245/6*n**3 - a*n**4 + 9*n**2 + 0*n - 1/12*n**5 + 0. Factor q(u).
-5*(u + 7)**2
Let p = -8812 - -8814. Let m(s) be the second derivative of 0*s**p - 1/80*s**5 - 1/12*s**4 - 3*s - 1/6*s**3 + 0. Factor m(t).
-t*(t + 2)**2/4
Suppose -915/4*d**2 + 455/2 + 445/4*d**3 + 5/4*d**4 - 445/4*d = 0. Calculate d.
-91, -1, 1, 2
Let k(y) be the third derivative of -76*y**2 - 17/300*y**5 - 7/40*y**4 + 0*y + 3/10*y**3 + 0 - 1/200*y**6. Factor k(s).
-(s + 3)**2*(3*s - 1)/5
Let n(w) = -w**2 + 12714*w - 4473217. Let d(l) = l**2 - 16953*l + 5964289. Let f(x) = -8*d(x) - 11*n(x). Find y such that f(y) = 0.
705
Let v(d) = -d**3 - 9*d**2 - 13*d + 6. Let a be v(-7). Let x be -1*(a*26)/2. What is l in x + 12 + 4*l**2 - 29 = 0?
-1, 1
Factor -2/3*n**2 + 14*n - 60.
-2*(n - 15)*(n - 6)/3
Suppose 2*w + 85*w + 432 = -53*w + 712. Suppose -19 + 1/3*b**w - 56/3*b = 0. What is b?
-1, 57
Suppose -4*n - 2*x = 438, -5*x + 553 = -5*n - 2*x. Let r be (-4)/n*115 + -4. Let 0 + 2/11*g**2 - r*g = 0. Calculate g.
0, 1
Suppose 762 = 669*d - 576. Find f, given that 0 + 0*f**2 - 1/3*f**5 - d*f**4 + 0*f - 3*f**3 = 0.
-3, 0
Let p(f) = -f**2 - f - 1. Let u(y) = -11*y**2 - 16*y - 11. Let c = 109 + -103. Let d(h) = c*p(h) - u(h). Suppose d(t) = 0. Calculate t.
-1
Suppose 166*d = 176*d - 397*d + 1548. Find q such that 8*q**3 - 8*q + 1/2*q**5 - 7/2*q**d - 4*q**2 + 8 = 0.
-1, 2
Let g = -10824 + 10827. Let r(l) be the second derivative of 0 + 2/9*l**2 - 4*l - 1/27*l**g - 1/54*l**4. Solve r(b) = 0.
-2, 1
Let d(i) be the third derivative of -23/480*i**6 + 7*i**2 + 0*i - 1/24*i**3 - 47/240*i**5 + 3/112*i**8 + 2/35*i**7 + 2 - 13/96*i**4. Solve d(o) = 0 for o.
-1, -1/6, 1
Let o(r) = r**3 - 6*r**2 + 38*r - 82. Let m be o(3). Determine w so that 51/4*w**3 + 0 - w + 49*w**m + 4*w**2 - 259/4*w**4 = 0.
-1/4, 0, 2/7, 1
Let t(a) be the second derivative of 2*a**7/189 - 2*a**6/135 - 11*a**5/45 - 7*a**4/27 + 20*a**3/27 + 16*a**2/9 + 51*a + 27. What is s in t(s) = 0?
-2, -1, 1, 4
Let u(p) = -p - 3. Let m(g) = -g**2 - 2*g + 33. Let j(x) = -m(x) + 3*u(x). Let b be j(-6). Suppose 0 + c**4 - 2/3*c**2 + b*c - 1/3*c**3 = 0. What is c?
-2/3, 0, 1
Factor 43/2*c**2 - 15*c + 0 - 2*c**3.
-c*(c - 10)*(4*c - 3)/2
Let k(g) be the third derivative of 0*g**3 + 1/20*g**5 - 274*g**2 + 0 + 0*g - 3/4*g**4. Determine p, given that k(p) = 0.
0, 6
Factor 454*x**2 - 158*x - 1539*x**2 + 158*x + 5*x**3 - 205*x**2.
5*x**2*(x - 258)
Let k(a) be the second derivative of -a**4/138 - 98*a**3/69 - 2401*a**2/23 + 1928*a. Factor k(c).
-2*(c + 49)**2/23
Let h(m) = -m**3 + 10*m**2 + 78*m - 778. Let u be h(10). Factor -72/5 + 15*d - 3/5*d**u.
-3*(d - 24)*(d - 1)/5
Let t(f) be the first derivative of -f**5/10 + 5*f**4/6 + 39*f - 10. Let p(j) be the first derivative of t(j). Solve p(g) = 0 for g.
0, 5
Let m(t) be the second derivative of t**5/100 - 37*t**4/60 - 63*t**3/10 + 123