 z(x).
(x + 5)**2/5
Solve -2/9*n + 2/9*n**3 + 82/9*n**2 - 82/9 = 0 for n.
-41, -1, 1
Determine k so that 3*k**3 - 1001*k - k**5 - 484 - 93757*k**2 + 16*k**4 + 93225*k**2 - k**3 = 0.
-4, -1, 11
Let c(f) = 9*f**4 - 15*f**3 - 7*f - 9. Suppose -30*z + 583 + 77 = 0. Let x(h) = h**4 - h**3 - h - 1. Let d(v) = z*x(v) - 2*c(v). Factor d(m).
4*(m - 1)*(m + 1)**3
Determine f, given that -4/5*f**3 + 192/5*f + 188/5*f**2 + 0 = 0.
-1, 0, 48
Suppose 0 = -1797*n + 1771*n + 104. Let y be (1 + -1)/(2/(-1)). Find o such that 0 + y*o - 16/5*o**3 - 8/5*o**2 - 2/5*o**5 - 2*o**n = 0.
-2, -1, 0
Let g(r) be the third derivative of r**7/210 - 7*r**6/120 - 2*r**5/15 + 4*r**2 + 33*r. Factor g(i).
i**2*(i - 8)*(i + 1)
Let x(p) be the third derivative of -p**7/280 - p**6/4 + 133*p**5/80 + 43*p**4/8 - 2016*p**2. Find t, given that x(t) = 0.
-43, -1, 0, 4
Let l = -1125 - -1115. Let k be -2*l/(-12) + (-725)/(-300). Suppose k*f**2 + 15/2 + 33/4*f = 0. Calculate f.
-10, -1
Let s(z) be the second derivative of -z**5/70 - z**4/3 - 8*z**3/7 - 2008*z - 1. Factor s(f).
-2*f*(f + 2)*(f + 12)/7
Let -44*x - 26*x**4 + 14*x**2 - 9*x**3 - 70*x**3 + 8*x**5 - 126*x**2 - 9*x**5 - 14*x**3 = 0. Calculate x.
-22, -2, -1, 0
Let r(k) be the second derivative of -k**5/300 - k**4/20 - 4*k**3/15 - 69*k**2/2 - 13*k. Let u(x) be the first derivative of r(x). Let u(n) = 0. What is n?
-4, -2
Let p(y) be the first derivative of y**3 - 5187*y**2/5 - 4152*y/5 - 3099. Factor p(w).
3*(w - 692)*(5*w + 2)/5
Let h(q) be the first derivative of 5*q**2 - 12 + 8*q + 2/3*q**3. Factor h(l).
2*(l + 1)*(l + 4)
Let o be (16/(-250))/(25/125). Let f = 2/25 - o. Determine z so that 24/5 - f*z**2 + 2/5*z**3 - 16/5*z = 0.
-3, 2
Let p(j) be the second derivative of -j**6/10 - 2979*j**5/10 - 988033*j**4/4 - 985056*j**3 - 1476096*j**2 - j + 779. Find t such that p(t) = 0.
-992, -1
Suppose -8 = -4*b - 0*b. Suppose -b*q = -5*q + j + 12, 3*q = -3*j. Factor -3*d**5 + 5*d**2 + 15*d**2 + 12*d**q - 4*d**4 - d**5 + 8*d.
-4*d*(d - 2)*(d + 1)**3
Suppose 8 = 2*n - 0. Let w = -973 - -975. Factor -b**2 - b**2 + 8*b**2 - 14 - 12*b - n*b**w.
2*(b - 7)*(b + 1)
Factor 1/9*w**4 + 59/9*w**2 - 38/9*w + 0 - 22/9*w**3.
w*(w - 19)*(w - 2)*(w - 1)/9
Let r(d) be the third derivative of -d**8/336 + d**7/210 + 3*d**6/20 - 4*d**5/15 - 4*d**4/3 + 11092*d**2. Find v, given that r(v) = 0.
-4, -1, 0, 2, 4
Let -33*h**2 - 72*h + 32*h**2 - 7763 + 6951 = 0. Calculate h.
-58, -14
Suppose h = 4*r + 16, h - 21 = -5*r - 32. Let k(x) be the first derivative of -1/2*x**2 - 20 - 1/48*x**h + 1/6*x**3 + 2/3*x. Factor k(l).
-(l - 2)**3/12
Factor -102/5 + 2/5*b**2 - 28/5*b.
2*(b - 17)*(b + 3)/5
Determine w so that 27/4*w**3 - 1/4*w**5 + 0 - 13/2*w + 25/4*w**2 - 25/4*w**4 = 0.
-26, -1, 0, 1
Suppose -405 = 5*z - 480. Determine h, given that -8*h**2 + 21*h**4 - 9*h**4 - 9*h**4 + z*h + 39*h**2 + 2*h**2 + 21*h**3 = 0.
-5, -1, 0
Let y(b) be the third derivative of 15 - 10/9*b**3 + 0*b + 1/3*b**4 - 1/45*b**5 - 4*b**2. Factor y(c).
-4*(c - 5)*(c - 1)/3
Let t(h) = 42*h**2 + 8327*h + 2105352. Let x(n) = -5*n**2 - 1040*n - 263169. Let f(w) = 6*t(w) + 51*x(w). Factor f(z).
-3*(z + 513)**2
Factor 136/5*y - 192/5 - 6*y**2 + 2/5*y**3.
2*(y - 8)*(y - 4)*(y - 3)/5
Let y be (-246)/(-533)*26*8/32. Factor 0 + 24/7*k**y + 2/7*k**5 - 12/7*k**4 + 6/7*k - 20/7*k**2.
2*k*(k - 3)*(k - 1)**3/7
Let v(l) = -19*l**3 + 35*l**2 + 156*l + 170. Let r(m) = 17*m**3 - 35*m**2 - 156*m - 171. Let b(q) = 10*r(q) + 9*v(q). Factor b(a).
-(a + 2)*(a + 3)*(a + 30)
Let k be 136944/56 + 2/1. Let o = 2452 - k. What is b in -6/7 - o*b - 8/7*b**3 - 34/7*b**2 = 0?
-3, -1, -1/4
Let n(j) be the third derivative of j**5/330 - 215*j**4/132 + 142*j**3/11 + 1833*j**2 + j. Determine y so that n(y) = 0.
2, 213
Let r(p) = -p**3 + 2*p**2 + 11*p - 10. Let b be r(4). Factor 0*s - s + s**3 - 18*s**2 + 16*s**2 + b*s.
s*(s - 1)**2
Let b = 137678/459 - 9265/27. Let l = -9/17 - b. Factor 16*v**2 - 8/3*v**3 + 128/3 - l*v + 1/6*v**4.
(v - 4)**4/6
Let k(s) be the third derivative of -1/350*s**7 - 9/20*s**4 + 4/5*s**3 + 11/100*s**5 + 0 + 3*s**2 - 63*s + 0*s**6. Let k(u) = 0. Calculate u.
-4, 1, 2
Let c(m) = -m**3 + 3*m**2 - 8*m - 10. Let o be c(-1). Factor 2778*d - o*d**3 + 0*d**3 - 2770*d.
-2*d*(d - 2)*(d + 2)
Suppose -6*k = 4 - 16. Let g be 1 - (k - 9/(-12)*-4). Factor -15*c**3 + 4*c**g + 26*c**5 + c**2 - 35*c**5 - 2*c**2 + 21*c**4.
-3*c**2*(c - 1)**2*(3*c - 1)
Factor -365/2 - 1/4*k**2 - 367/4*k.
-(k + 2)*(k + 365)/4
Let g = -821176 - -821176. Find v such that g + 3/4*v**2 + 24*v = 0.
-32, 0
Let s(n) be the first derivative of 5*n**3/12 + 65*n**2/4 - 70*n - 898. Suppose s(d) = 0. Calculate d.
-28, 2
Let f be -1 + (-48)/(-15) - 8/40. Solve 5*k**f - 387*k + 754*k - 377*k = 0 for k.
0, 2
Let n = -93 + 841/9. Let j be (2/18)/(84/798*38/24). Factor -n - 2/9*v**2 + j*v.
-2*(v - 2)*(v - 1)/9
Let d(f) be the first derivative of -f**6/120 + 43*f**5/40 - 25*f**3 + 181. Let b(n) be the third derivative of d(n). Factor b(w).
-3*w*(w - 43)
Let a(y) be the second derivative of y**5/10 - 52*y**4/3 - 211*y**3/3 - 106*y**2 - 90*y - 1. Solve a(m) = 0 for m.
-1, 106
Let s(k) be the first derivative of -14*k**5/15 - 83*k**4/2 - 266*k**3/9 + 83*k**2 + 280*k/3 + 7446. Solve s(i) = 0 for i.
-35, -1, -4/7, 1
Let h be (129/8428*-14)/((-24)/28). Factor -7/2*d**3 - 45/4*d**2 - h*d**4 - 5 - 13*d.
-(d + 1)**2*(d + 2)*(d + 10)/4
Let y(z) be the first derivative of 4*z**5/35 - 89*z**4/28 + 482*z**3/21 - 715*z**2/14 + 150*z/7 + 1835. Solve y(i) = 0.
1/4, 2, 5, 15
Factor 249*b**2 + 215*b**2 + 37632*b + b**3 - 74*b**2 - 76832.
(b - 2)*(b + 196)**2
Let f(o) be the second derivative of -o**4/20 + 16*o**3/5 + 111*o**2/2 + 1688*o. Factor f(w).
-3*(w - 37)*(w + 5)/5
Suppose -4*u + 1456 = 2*a, a - 719 = -13*u + 14*u. Let q = a + -722. Factor q + 28/9*f**2 - 2/9*f**5 + 10/9*f + 4/9*f**4 + 8/3*f**3.
-2*f*(f - 5)*(f + 1)**3/9
Let f = -766 - -5366/7. Let r(y) be the first derivative of -2/7*y**3 + 1/14*y**4 + 2/35*y**5 - 1/7*y**2 - 1 + f*y. Determine k, given that r(k) = 0.
-2, -1, 1
Let k(x) = -2*x**4 + x**3 - x**2 + 2*x - 5. Let j(b) = 8*b**4 + 17*b**3 - 19*b**2 - 6*b + 15. Let u(o) = -j(o) - 3*k(o). Factor u(c).
-2*c**2*(c - 1)*(c + 11)
Suppose 3*j - n - 3*n = 6664, j = -5*n + 2196. Let q = j - 11077/5. Factor -9/5*l**2 + q*l**4 - 3/5*l + 6/5 + 3/5*l**3.
3*(l - 1)**2*(l + 1)*(l + 2)/5
Let y(q) = -6*q**2 - 1265*q - 67542. Let f(r) = 3*r**2 + 633*r + 33762. Let h(n) = 7*f(n) + 3*y(n). What is z in h(z) = 0?
-106
Let u(b) = -426*b + 426. Let n be u(1). Let d(k) be the first derivative of 1/9*k**3 - 14 + 1/8*k**4 - 1/12*k**2 + n*k. Find a, given that d(a) = 0.
-1, 0, 1/3
Let y be ((-125)/20)/((-35)/(-56)) - ((-456)/40 + 1). Factor y*w**4 - 12/5*w - 12/5*w**3 + 22/5*w**2 + 0.
2*w*(w - 3)*(w - 2)*(w - 1)/5
Let s = 4968 - 4968. Let x(b) be the third derivative of s*b + 0 - 1/120*b**5 + 1/4*b**3 - 20*b**2 - 1/24*b**4. Find r, given that x(r) = 0.
-3, 1
Let b(a) be the first derivative of -5/6*a**6 + 0*a**2 - 3*a**5 + 0*a - 15/4*a**4 + 62 - 5/3*a**3. Solve b(h) = 0.
-1, 0
What is q in 20*q + 135*q - 33 + 0*q**3 + 70*q**2 + 22 + 91 - 5*q**3 = 0?
-1, 16
Let w be (1844/(-120))/((-9)/36) + 110/33. Factor -1/5*n**2 + 36/5*n - w.
-(n - 18)**2/5
Let a(k) be the second derivative of k**6/6 + 3*k**5/2 + 25*k**4/12 - 10*k**3 - 245*k - 2. Factor a(i).
5*i*(i - 1)*(i + 3)*(i + 4)
Let f(y) = -19*y. Let o(z) = -5*z**2 - 2394*z - 259920. Let w(j) = 6*f(j) - o(j). Factor w(d).
5*(d + 228)**2
Let v(j) be the first derivative of 0*j - 20 + 8/5*j**5 + 2/7*j**6 + 0*j**3 + 8/7*j**4 + 0*j**2. Let v(r) = 0. Calculate r.
-4, -2/3, 0
Let -63*g**4 + 0 + 102*g**3 + 2*g**2 + 2 - 33*g**3 + 55*g**2 - 69*g + 4 = 0. What is g?
-1, 2/21, 1
Let o(x) be the second derivative of x**7/42 + x**6/15 - 18*x**5/5 + 45*x**4/2 - 99*x**3/2 - 94*x - 1. Solve o(h) = 0.
-11, 0, 3
Let c(o) = 2754*o + 57834. Let i be c(-21). Let 1/3*b**2 + i*b - 1/3 = 0. Calculate b.
-1, 1
Let q be 80/72 + (-3 - 148/(-72)). Let w(n) be the second derivative of -28*n + q*n**2 + 5/18*n**3 + 0 - 1/6*n**4. Factor w(r).
-(r - 1)*(6*r + 1)/3
Let m(y) = -31*y - 94. Let w be m(-4). Let 76 + w*o + 6*o**2 - 37 - 3*o**2 - 39 = 0. Calculate o.
-10, 0
Factor 4*q**3 + 61 + q**3 + 35*q**2 + 19*q - 961 - 139*q.
5*(q - 5)*(q + 6)**2
Let m(k) be the first derivative