83 + 148*h**3 = 0. Calculate h.
2, 21
Let h(i) be the first derivative of 2*i**5/5 - 27*i**4/2 + 144*i**3 - 432*i**2 + 1676. What is f in h(f) = 0?
0, 3, 12
Let m = -612074/5 - -122422. Determine n so that -6*n**3 + 0 + 102/5*n**2 - m*n = 0.
0, 2/5, 3
Let u be 0/((-8)/32 - 6/8). Factor u + 8/3*g**2 + 4*g - 4/3*g**3.
-4*g*(g - 3)*(g + 1)/3
Let f be (-648)/45 - -10 - ((-11)/(77/35) + -3). Suppose f*w - 28/5 - 2/5*w**2 = 0. Calculate w.
2, 7
Let o(v) = -5*v**4 - 83*v**3 + 494*v**2 + 16*v - 2592. Let l(y) = -12*y**4 - 194*y**3 + 1153*y**2 + 38*y - 6048. Let w(z) = 8*l(z) - 19*o(z). Factor w(s).
-(s - 12)**2*(s - 3)*(s + 2)
Let p(h) be the first derivative of h**3/9 + 209*h**2/3 - 419*h/3 + 7058. Solve p(t) = 0 for t.
-419, 1
Let f(w) be the first derivative of w**7/4620 - w**5/55 + 4*w**4/33 - w**3/3 + 15*w**2/2 - 49. Let y(m) be the third derivative of f(m). Solve y(p) = 0.
-4, 2
Factor 1356*v - 36*v**3 - 2776 - 4*v**4 - 1832 + 1588*v - 264*v**2 + 7*v**4 + v**4.
4*(v - 8)**2*(v - 2)*(v + 9)
Let m(w) be the second derivative of w**5/10 + 106*w**4/45 + 763*w**3/45 + 98*w**2/15 + 1973*w. Determine x, given that m(x) = 0.
-7, -2/15
Let b(z) = 109*z + 110*z + 102*z + 110*z + 2 - z**2 - 430*z. Let g(v) = -4*v**3 + 37*v**2 - 33*v - 10. Let w(s) = 5*b(s) + g(s). Factor w(l).
-4*l*(l - 7)*(l - 1)
Determine p, given that 3408/7 - 3/7*p**2 - 1698/7*p = 0.
-568, 2
Suppose -5*o - d + 22 = 0, 5*o - 3*d + 5*d = 24. Suppose -2 = 2*v - 2*k, -v - 19 = -2*v - o*k. Solve -2*r**5 - r**3 + 8*r**3 - 2*r**4 + r**v - 4*r**3 = 0.
-2, 0, 1
Let f be (3/4)/((28 - 24) + -1*1). Factor f*x**2 - 1/4*x + 0.
x*(x - 1)/4
Let s(r) = r**2 - 16*r + 43. Let v be s(13). Find g such that 281 + g**v - 281 - g**3 = 0.
0, 1
Find c such that -872*c**2 - 729*c**3 - 1018*c**2 - 1149*c - 1592*c - 1722*c + 3238*c = 0.
-35/27, 0
Let m = -38623 + 77249/2. Solve o**4 - 15/2*o**3 + m*o**5 + 6*o - 5*o**2 + 4 = 0.
-2, -1, -2/3, 1, 2
Solve 256/5*w - 1156/5*w**4 + 0 + 18768/5*w**3 - 4368/5*w**2 = 0.
0, 2/17, 16
Let k(v) be the third derivative of -49*v**6/24 + 47*v**5/12 + 125*v**4/6 + 10*v**3/3 - 27*v**2 + 14*v. Factor k(l).
-5*(l - 2)*(l + 1)*(49*l + 2)
Suppose 6/11*n**3 - 18/11*n**2 - 54/11*n + 2/11*n**4 + 0 = 0. Calculate n.
-3, 0, 3
Suppose 645*n = 672 + 1908. Let d(u) be the second derivative of 0*u**3 + 2/15*u**6 - 2/21*u**7 + 0*u**2 + 8/5*u**5 + u - n*u**4 + 32. Factor d(x).
-4*x**2*(x - 2)**2*(x + 3)
Suppose -80 = -41*w + 43*w. Let h be 60/w - (-14)/4. Determine u so that -4*u - 39*u**h + 5*u + 37*u**2 + 2 - 2*u**3 + u = 0.
-1, 1
Suppose -2*q - 2*q - 8 = 0, 3*l = -q + 70. Let d = l + -10. Solve 4*j**4 + 8*j**3 - d*j**2 + 25*j**2 - 19*j**2 - 4*j**5 - 4*j + 4 = 0 for j.
-1, 1
Let g(k) be the third derivative of 13/12*k**4 + 21*k**2 + 0*k + 0 - 1/10*k**5 + 10/3*k**3. Factor g(m).
-2*(m - 5)*(3*m + 2)
Determine i so that 60*i + 57 + 1/9*i**4 + 28/9*i**3 + 22*i**2 = 0.
-19, -3
Let u(d) be the first derivative of 80/3*d**3 - 33/2*d**4 - 1/3*d**6 + 4*d**5 + 0*d - 16*d**2 + 25. What is a in u(a) = 0?
0, 1, 4
Let b(a) be the second derivative of 0 - 1/3*a**3 + 0*a**2 - 1/78*a**4 + 46*a. Factor b(u).
-2*u*(u + 13)/13
Let h(n) = -n**2 - 578*n - 652. Let k(c) = c**2 + 575*c + 624. Let u(s) = -2*h(s) - 3*k(s). Factor u(m).
-(m + 1)*(m + 568)
Factor 6336 + 4869*s + 5*s**3 + 224*s**2 - s**3 - 2613*s.
4*(s + 6)**2*(s + 44)
Let f(h) = -252*h**4 + 114*h**3 + 874*h**2 - 588*h - 250. Let q(i) = i**2 - 2*i + 1. Let s(g) = -2*f(g) - 116*q(g). Solve s(a) = 0.
-2, -3/14, 4/3
Let w be 24/9 + (-2840)/(-3195). Suppose -8/3*h**2 + 112/9*h - 28/9*h**4 - 92/9*h**3 + w = 0. What is h?
-2, -2/7, 1
Let f = -2 + 37. Suppose 0*a = -7*a + f. Factor 11*w**3 - 9*w**5 + 8*w**a - w - 9*w**3.
-w*(w - 1)**2*(w + 1)**2
Let x = 551 - 546. Let z(d) = 6*d + 1 - 25*d + 23*d**2 - 2. Let n(l) = 45*l**2 - 39*l - 1. Let m(b) = x*z(b) - 3*n(b). Let m(f) = 0. What is f?
1/10, 1
Let t be (-11 - (-11888)/768) + -1*5. Let d = t - -19/16. Factor d*n**3 - 10/3*n**2 + 8/3*n + 0.
2*n*(n - 4)*(n - 1)/3
Let v be 113*(-77)/(-69608) + (-1)/(-4). Factor -150 - 15*m - v*m**2.
-3*(m + 20)**2/8
Let n = -167 + 67. Let a = -96 - n. Let -3 - 6*w**2 + a*w**3 - 3 + 2*w - 5*w**3 - 13*w = 0. Calculate w.
-3, -2, -1
Let u(q) = -50*q**3 - 220*q**2 + 6125*q + 12240. Let k(j) = -3*j**3 - 13*j**2 + 360*j + 720. Let p(w) = 35*k(w) - 2*u(w). Factor p(f).
-5*(f - 8)*(f + 2)*(f + 9)
Let i = -35443/102 + 11905/34. Determine z so that -2/3*z**2 - i + 13/3*z**3 - 20/3*z + 1/3*z**4 - 2/3*z**5 = 0.
-2, -1, -1/2, 2
Let p(c) be the third derivative of -c**8/1008 - 2*c**7/105 + 2*c**6/45 + 19*c**5/90 - 5*c**4/24 - 13*c**3/9 + 9893*c**2. Determine r so that p(r) = 0.
-13, -1, 1, 2
Suppose 55 + 451/6*y**2 - 1/6*y**4 - 721/6*y - 59/6*y**3 = 0. Calculate y.
-66, 1, 5
Let w(z) be the third derivative of z**5/20 + z**4/4 - 63*z**3/2 + 181*z**2 + 2. Solve w(a) = 0 for a.
-9, 7
Suppose -2*l = -4*l + 4. Let h(t) = -2*t**2 - 87*t + 434. Let w be h(-48). Factor 9*v**l - 11*v**w + v - 5*v + 6*v**2.
4*v*(v - 1)
Let p(k) be the second derivative of 13*k**5/20 + 32*k**4/3 + 94*k**3/3 - 16*k**2 + 6*k - 11. Factor p(x).
(x + 2)*(x + 8)*(13*x - 2)
Let b(z) be the third derivative of 7/8*z**4 - 1/40*z**6 + 0*z + 0 - 13*z**2 + 1/10*z**5 + 2*z**3. Determine t, given that b(t) = 0.
-1, 4
Factor -1/2*f**4 - 37/2*f**2 + 30*f - 18 + 5*f**3.
-(f - 3)**2*(f - 2)**2/2
Let c(t) = -3*t**3 - 42*t**2 + 359*t - 17. Let k be c(-20). Factor 5*i + 5/4*i**4 - 15*i**2 + 20 + 5/4*i**k.
5*(i - 2)**2*(i + 1)*(i + 4)/4
Let u(b) be the second derivative of b**4/90 - 17*b**3/45 + 14*b**2/3 - 426*b. Find y such that u(y) = 0.
7, 10
Let k(a) be the first derivative of 0*a**5 - 10 + 0*a**2 + 0*a - 1/60*a**4 + 1/900*a**6 + 6*a**3. Let c(f) be the third derivative of k(f). Factor c(l).
2*(l - 1)*(l + 1)/5
Factor 2161700757/7 + 3879/7*p**2 - 1/7*p**3 - 5015547/7*p.
-(p - 1293)**3/7
What is x in -4/3*x**2 + 80 - 16/3*x = 0?
-10, 6
Let i(t) be the third derivative of 2*t**6/225 - 59*t**5/450 - 51*t**4/20 + 4*t**3 + t**2 - 1083. Determine k, given that i(k) = 0.
-5, 3/8, 12
Let w be (-5)/((-5)/24) - (13 - 17). Factor 3*m**2 + 42 - w*m + 5*m - 22*m.
3*(m - 14)*(m - 1)
Let z(u) be the first derivative of -u**8/5040 + u**7/280 - 7*u**6/540 - u**5/15 - 13*u**3/3 + 5*u - 138. Let w(l) be the third derivative of z(l). Factor w(j).
-j*(j - 6)*(j - 4)*(j + 1)/3
Let f = -112 + 118. Suppose -40*j - f + 32*j - 4*j**2 + 2 = 0. Calculate j.
-1
Suppose 3*b + 1875 + 102 = 0. Let a = 661 + b. Factor -3/8*d**a + 3/4 - 3/8*d.
-3*(d - 1)*(d + 2)/8
Suppose -137*d = -143*d + 18. Suppose 35*n**3 - 1369 - 25*n**3 - 9*n**d + 1295*n + 73*n**2 = 0. Calculate n.
-37, 1
Let g(r) be the first derivative of -3*r**4/4 + 15*r**3 - 12*r**2 - 252*r + 14212. Find t such that g(t) = 0.
-2, 3, 14
Suppose 5*j = -6*j + 33. Factor 26*p**3 - 6*p**2 + 4*p**2 - 7*p**j.
p**2*(19*p - 2)
Let h(f) = 5*f**3 - 52*f**2 + 53*f + 8. Let x(k) = -17*k**3 + 156*k**2 - 160*k - 28. Let i(r) = -14*h(r) - 4*x(r). Factor i(b).
-2*b*(b - 51)*(b - 1)
Let q be 2 - 13/(104/(-64)). Suppose -q + 27 + 27 - 8 + 3*y**2 + 39*y = 0. What is y?
-12, -1
Solve 0 - 33/4*f**4 + 285/8*f + 249/4*f**2 + 18*f**3 + 3/8*f**5 = 0.
-1, 0, 5, 19
Let d(q) be the third derivative of 0*q**4 + q**2 + 11/160*q**6 + 1/280*q**7 + 0*q**3 - 3/20*q**5 + 53 + 0*q. Factor d(i).
3*i**2*(i - 1)*(i + 12)/4
Let k(q) = 15*q**2 + 289*q + 1500. Let o(z) = -71*z + 13*z - 282 + 2*z**2 - 5*z**2 - 18. Let l(p) = -2*k(p) - 11*o(p). Find h such that l(h) = 0.
-10
Suppose 4*p - 2*d = 82, 326*p - 3*d - 60 = 323*p. Let a(v) be the first derivative of 45*v - 5/3*v**3 + p - 20*v**2. Solve a(b) = 0 for b.
-9, 1
Let j(h) be the third derivative of h**5/15 - 17*h**4/6 - 260*h**3 + 1864*h**2. Find w, given that j(w) = 0.
-13, 30
Suppose 0 = -754*d + 760*d - 72. Factor 25 - d*g**2 + 0 + 4*g**3 - 9.
4*(g - 2)**2*(g + 1)
Let s be -4*(-4)/((-96)/(-18)). Let w(d) be the first derivative of 8*d - d**4 - 10*d**2 + 13 + 16/3*d**s. Determine i so that w(i) = 0.
1, 2
Let v = 2224/17 + -11052/85. Factor -v*f**2 - 64/5 - 8*f.
-4*(f + 2)*(f + 8)/5
Determine o so that 57*o**3 - 5496*o + 5926*o - 880 - 52*o**3 + 445*o**2 = 0.
-88, -2, 1
Let b(y) be the first derivative of -y**4 - 44*y**3/3 + 80*y**2 - 112*y - 1080. Find t such that b(t) = 0.
-14, 1, 2
Factor -61/