 + (-124)/(-30). Let d(z) = 57*z**2 - 8 - 2260*z**3 - l + 801*z**3 + 16 + 60*z. Let o(t) = -3*t**3. Let n(h) = -3*d(h) + 15*o(h). Factor n(r).
3*(4*r - 1)*(19*r + 2)**2
Let d(g) be the first derivative of -3/2*g**2 + 3/4*g**4 - 270 - 159*g + 53*g**3. Suppose d(x) = 0. What is x?
-53, -1, 1
Let b(n) be the first derivative of 4*n**5/5 + 44*n**4 + 752*n**3 + 3520*n**2 + 6400*n + 2671. Factor b(c).
4*(c + 2)**2*(c + 20)**2
Let t(f) = -4*f**2 - 30*f - 51. Let h be t(-4). Let q(y) be the second derivative of -9/40*y**h + 1/4*y**4 + 0*y**2 - 1/4*y**6 + 22*y + 0 + 0*y**3. Factor q(p).
-3*p**2*(p + 1)*(5*p - 2)/2
Let k(o) be the first derivative of -7/2*o**3 + 36 + 0*o - 6*o**2 + 3/8*o**4. Find s such that k(s) = 0.
-1, 0, 8
Suppose -18 = -n - i - 4*i, -10 = 3*n - i. Let h be ((8 - 7)*-3)/n. Determine y so that -h*y**2 + 0*y + 3/2 = 0.
-1, 1
Let g(c) be the second derivative of c**4/24 - 169*c**3/12 + 42*c**2 + 28*c + 10. Factor g(u).
(u - 168)*(u - 1)/2
Let t = 1 + -7. Let n(k) = -7*k**2 - 41*k + 8. Let j be n(t). Find l, given that 0*l + 0*l**j - 1/3*l**5 + 0 - 2/3*l**3 + l**4 = 0.
0, 1, 2
Let z(p) = 127*p**4 - 187*p**3 + 123*p**2 - 3*p. Let v(u) = 42*u**4 - 64*u**3 + 41*u**2 - u. Let o(y) = 10*v(y) - 3*z(y). Determine h so that o(h) = 0.
0, 1/39, 1
Let l(b) be the third derivative of b**7/315 + b**6/180 - b**5/30 - b**4/36 + 2*b**3/9 - 49*b**2 - 7. Factor l(y).
2*(y - 1)**2*(y + 1)*(y + 2)/3
Let f(l) be the third derivative of l**7/42 - 341*l**6/12 + 115597*l**5/12 + 97185*l**4/2 + 97470*l**3 - 7880*l**2. Factor f(c).
5*(c - 342)**2*(c + 1)**2
Let s = 366 - 358. What is z in -16 - s*z**4 - 21*z + 6*z**4 + 5*z + 16*z**3 + 12*z**2 + 6*z**4 = 0?
-2, -1, 1
Let d(l) be the third derivative of -l**5/690 + 121*l**4/276 - 580*l**3/69 - 107*l**2 - 5. Factor d(x).
-2*(x - 116)*(x - 5)/23
Let r(g) be the third derivative of g**6/540 + 4*g**5/45 + 7*g**4/9 - 80*g**3/3 - 2*g**2 - 5. Let p(j) be the first derivative of r(j). Solve p(t) = 0 for t.
-14, -2
Suppose 0 = 3*q - 62 + 5. Factor -57*l**2 + q*l**3 + 177*l**2 + 900*l - 15*l**3.
4*l*(l + 15)**2
Let d(i) be the third derivative of -15*i**8/112 - 187*i**7/42 - 157*i**6/8 - 127*i**5/4 - 65*i**4/6 + 30*i**3 - 22*i**2 + 5. Determine g so that d(g) = 0.
-18, -1, 2/9
Suppose 0 = 3*k - 119 + 113. Suppose 3169*y**2 - 15 - 16*y - 3168*y**2 + k*y = 0. Calculate y.
-1, 15
Find k such that 181/2*k**2 + 1/6*k**4 + 242 + 814/3*k + 8*k**3 = 0.
-33, -11, -2
Let b(g) be the third derivative of g**8/294 - 2*g**7/105 - 3*g**6/35 + 13*g**5/105 + 5*g**4/21 + g**2 + 913. Solve b(u) = 0.
-2, -1/2, 0, 1, 5
Let r(h) be the third derivative of 2*h**2 + 0*h + 1/60*h**5 - 37 - h**3 - 1/24*h**4. Let r(y) = 0. Calculate y.
-2, 3
Suppose l = -7*l + 4*l + 20. Let z(h) be the third derivative of 2/3*h**3 - 1/36*h**4 - 3*h**2 - 1/90*h**l + 0 + 0*h. What is p in z(p) = 0?
-3, 2
Let s(h) = -8*h**3 + 50*h**2 + 277*h - 9. Let m(d) = -65*d**3 + 400*d**2 + 2215*d - 75. Let f(n) = -3*m(n) + 25*s(n). Factor f(o).
-5*o*(o - 14)*(o + 4)
Factor -2642/7*y**3 + 873842/7*y + 2/7*y**4 + 0 + 871198/7*y**2.
2*y*(y - 661)**2*(y + 1)/7
Suppose -3009*t + x = -3007*t - 3, -3 = -t - x. Factor 9/2*k**t - 18*k + 24 - 3/8*k**3.
-3*(k - 4)**3/8
Let p be 1 + 12 + 4/(2 + 2). Factor p*d**3 - 8 + 21 - 13 - 8*d + 24*d**2.
2*d*(d + 2)*(7*d - 2)
Determine m so that 8 + 17/5*m**2 + 1/5*m**3 - 58/5*m = 0.
-20, 1, 2
Let o = -1978781 - -21787134/11. Let h = o - 1867. Determine a, given that 0 - 6/11*a + 2*a**3 - h*a**4 - 10/11*a**2 = 0.
-1/3, 0, 1, 3
Let k(r) = 7*r**3 - 20*r**2 - 9*r + 12. Let d(n) = -n**3 + 2*n**2 - 2. Suppose -4*a = -a + h - 4, -1 = -2*a + h. Let t(f) = a*k(f) + 6*d(f). Solve t(z) = 0.
-1, 0, 9
Factor 0 + 40/3*t + 2/3*t**2.
2*t*(t + 20)/3
Let q be -2 - (-35)/21 - (-598)/3. Let a = 1195/6 - q. Find v, given that 1/3*v**2 - 1/2*v**4 + a + 1/2*v - 1/6*v**5 - 1/3*v**3 = 0.
-1, 1
Let y(z) be the first derivative of 18*z**4 - 17404*z**3/3 + 6270*z**2 - 1928*z + 7328. Find t, given that y(t) = 0.
2/9, 1/2, 241
Let i(x) be the first derivative of -x**4/8 + 4*x**3/3 - 17*x**2/4 + 5*x + 3754. Find p, given that i(p) = 0.
1, 2, 5
Let a(j) be the second derivative of j**7/630 + 29*j**6/180 - j**5 + 21*j**4/4 - 45*j. Let q(x) be the third derivative of a(x). Solve q(w) = 0.
-30, 1
Find f, given that 1674 + 24653*f - 2*f**2 + 5*f**2 - 23810*f = 0.
-279, -2
Let n(z) = -2*z**4 + 3*z**3 + z**2 - z - 3. Let g(b) = -12*b**4 + 163*b**3 - 285*b**2 + 139*b - 15. Let w(j) = g(j) - 5*n(j). Factor w(m).
-2*m*(m - 72)*(m - 1)**2
Let z(k) be the third derivative of -1/120*k**6 - 3/16*k**4 - 3/20*k**5 + 1/252*k**7 + 0 + 0*k + 9/4*k**3 - 61*k**2 + 1/2016*k**8. Factor z(b).
(b - 3)*(b - 1)*(b + 3)**3/6
Suppose -3*c + 2*q + 32 = 0, 1470*q + 43 = 2*c + 1467*q. Factor 2/11*g**3 - 214/11*g**c + 530*g - 5618/11.
2*(g - 53)**2*(g - 1)/11
Factor 39/2*l**2 + 24*l - 42 - 3/2*l**3.
-3*(l - 14)*(l - 1)*(l + 2)/2
Let b = -76 + 85. Suppose -l + 2620 = b*l. Let 3*d**2 + l*d - 157*d - 126*d - 24 = 0. Calculate d.
-1, 8
Let q(c) be the third derivative of c**8/10080 - c**7/180 + c**6/15 - 43*c**5/20 + 239*c**2. Let h(v) be the third derivative of q(v). Factor h(r).
2*(r - 12)*(r - 2)
Let x(o) be the second derivative of -o**7/21 + 31*o**6/15 + 67*o**5/5 + 103*o**4/3 + 139*o**3/3 + 35*o**2 - 7220*o. Factor x(c).
-2*(c - 35)*(c + 1)**4
Suppose -13627 - 3739 = 38*c. Let i = c + 1373/3. Factor 0 - i*f**2 - 2*f.
-2*f*(f + 3)/3
Let h(m) = -4*m**2 - 76*m + 164. Let t(p) = -1. Let b(o) = h(o) - 4*t(o). Let b(c) = 0. What is c?
-21, 2
Let u(w) = -4*w**3 + 59*w**2 + 242*w. Let x(g) = g**3 - 14*g**2 - 61*g. Let f(l) = -2*u(l) - 9*x(l). Determine c so that f(c) = 0.
-5, 0, 13
Suppose 55*u - 41*u = -72*u + 688. Let t(j) be the first derivative of 4/3*j**3 + 16*j + u*j**2 + 15. Solve t(h) = 0 for h.
-2
Let s = -741 + 1061. Let -4*h**3 - 30*h + 28*h**2 - s - 14*h + 340 = 0. What is h?
1, 5
Let r(d) be the first derivative of -d**3/3 + 100*d**2 + 3094. Factor r(n).
-n*(n - 200)
Let b(f) be the second derivative of f**5/30 - 11*f**4/18 + 8*f**3/3 - 82*f - 36. Suppose b(a) = 0. Calculate a.
0, 3, 8
Let j(m) = 2*m**2 + 6*m - 20. Let b(i) = -5*i - 8. Let o(k) = -11*k - 17. Let q(h) = 13*b(h) - 6*o(h). Let v(x) = -j(x) + 6*q(x). Factor v(s).
-2*(s - 2)*(s + 2)
Let u(h) be the first derivative of h**6/840 + h**5/28 + 9*h**4/56 + 13*h**3/42 - 51*h**2/2 + 13. Let q(p) be the second derivative of u(p). Factor q(x).
(x + 1)**2*(x + 13)/7
Let l be 2/10*(-5)/(-2). Suppose -4*y - 3144 = 5*k - 3107, 4*k - 5*y = 77. Factor l*d**k + 1/2*d + 0 + d**2.
d*(d + 1)**2/2
Let f be (2 - ((-152)/18 + 5)) + -5. Let p = 11 - 9. Factor -2/3 + 2/9*t**p - f*t.
2*(t - 3)*(t + 1)/9
Let b(s) be the first derivative of s**3/2 + 3633*s**2/2 + 4399563*s/2 - 4458. Factor b(w).
3*(w + 1211)**2/2
Let c(w) = 2*w**3 - 131*w**2 - 1725*w - 1587. Let y(t) = t**3 + 2*t**2. Suppose 21 = 106*f - 85*f. Let p(x) = f*c(x) - 5*y(x). Factor p(r).
-3*(r + 1)*(r + 23)**2
Let p be ((-6)/8)/(270/24534). Let c = p + 397/5. Solve -c*m**4 - 5 + 255/4*m**3 - 335/4*m**2 + 145/4*m = 0.
1/3, 1, 4
Let g(f) be the second derivative of f**7/14 + f**6/10 - 9*f**5/20 - f**4/4 + f**3 - 1095*f. Factor g(s).
3*s*(s - 1)**2*(s + 1)*(s + 2)
Let u be (-46)/(-18) + 16/36. Factor 2840*p**2 + u*p + 8 + p - 2846*p**2 + p**4 - p**3.
(p - 2)**2*(p + 1)*(p + 2)
Factor -2/7*t**2 - 4232/7 - 184/7*t.
-2*(t + 46)**2/7
Find r, given that -24/7*r**3 + 108 - 3/7*r**4 - 1200/7*r + 471/7*r**2 = 0.
-18, 1, 2, 7
Let j(w) be the first derivative of w**7/70 + 3*w**6/40 + 3*w**5/20 + w**4/8 + w**2/2 - 128*w - 181. Let u(p) be the second derivative of j(p). Factor u(f).
3*f*(f + 1)**3
Let j(h) be the second derivative of -h**5/4 + 25*h**4 + 315*h**3/2 - 34*h - 44. Factor j(g).
-5*g*(g - 63)*(g + 3)
Let r be ((-30)/(-9))/(0 + 8/12). Let v = r - 6. Let x(q) = q**2. Let w(u) = 15*u**2 + 12*u + 15. Let j(l) = v*w(l) + 18*x(l). Factor j(p).
3*(p - 5)*(p + 1)
Let m = -8969 + 403631/45. Let k(s) be the first derivative of 12 - 19/15*s**2 - 14/75*s**5 + 19/30*s**4 - 4/5*s + m*s**3. Solve k(j) = 0 for j.
-1, -2/7, 1, 3
Factor -l**3 + l**2 + 25 - 565*l - 3*l**2 + 283*l + 283*l - 23*l**2.
-(l - 1)*(l + 1)*(l + 25)
Suppose -3375 + 2652 - 5549 + 20*b**3 + 12236*b + 5424*b - 2428*b + 1112*b**2 = 0. Calculate b.
-28, 2/5
Su