et k = 48905/4 - 12224. Factor 3/8*i**2 + k + 15/8*i.
3*(i + 2)*(i + 3)/8
Let t be (-18)/63 - 99/21 - 0. Let c(q) = -4*q**2 + 9*q + 22. Let r(h) = -7*h**2 + 19*h + 46. Let d(y) = t*c(y) + 3*r(y). Factor d(k).
-(k - 14)*(k + 2)
Let m = -5023/21 - -589/3. Let w = m - -649/14. Factor 1/2*o**4 - 5/2*o**3 + 9/2*o**2 - w*o + 1.
(o - 2)*(o - 1)**3/2
Let c(z) be the second derivative of -2*z**2 - 1/12*z**4 - 2*z + 0 - 2/3*z**3. Determine s, given that c(s) = 0.
-2
Let m(y) = 2*y**2 + 19*y + 77. Let z(h) = 2*h**2 + 13*h + 8. Let j be z(-6). Let n(f) = -1 + f - j + 5 - 3. Let w(d) = 2*m(d) + 10*n(d). Factor w(k).
4*(k + 6)**2
Let k(n) be the first derivative of -n**5/20 - 3*n**4/4 - 4*n**3 + 22*n**2 - 54. Let h(g) be the second derivative of k(g). Find b such that h(b) = 0.
-4, -2
Let t be 13/481 + 110770/63270. Let -t - 614/9*c**3 - 148/9*c - 482/9*c**2 - 58/3*c**4 + 10*c**5 = 0. What is c?
-1, -2/5, -1/3, 4
Suppose 36*h - 119*h + 58 = -54*h. Factor -363*d + 33/2*d**h + 2662 - 1/4*d**3.
-(d - 22)**3/4
Let h(d) be the second derivative of -d**4/16 - 173*d**3/4 + 3141*d**2/8 + 24*d - 2. Find n, given that h(n) = 0.
-349, 3
Factor 152*v - 65*v - 2*v**3 + 147*v - 178*v**2 - 182 + 119*v + 9*v.
-2*(v - 1)**2*(v + 91)
Let l(r) be the first derivative of r**5/20 + r**4/12 - 4*r**3/3 - 6*r**2 + 55*r + 26. Let g(z) be the first derivative of l(z). Factor g(c).
(c - 3)*(c + 2)**2
Let u = -383/6 - -24127/378. Let m = 43/189 + u. Suppose -10/9*j - m*j**2 + 0 = 0. What is j?
-5, 0
Let c(f) be the third derivative of 1/18*f**3 + 1/360*f**5 + 130*f**2 + 0 + 1/48*f**4 + 0*f. Let c(y) = 0. What is y?
-2, -1
Suppose v - x - 38 = 0, 9*x = v + 6*x - 28. Suppose 18*h = v*h - 75. Solve -4 - 2*t**2 + 8*t - 2*t**h + 3/4*t**4 = 0 for t.
-2, 2/3, 2
Determine z, given that -600 - 599*z**3 + 197*z**3 + 104*z**2 - 500*z + 202*z**3 + 204*z**3 = 0.
-30, -1, 5
Let a(x) be the first derivative of x**6/2 - 2637*x**5/5 + 772641*x**4/4 - 25153757*x**3 + 5811. Solve a(h) = 0.
0, 293
Factor 81*m**2 + 6*m - 6*m - 11*m - 12 - 80*m**2.
(m - 12)*(m + 1)
Factor 12*o**2 + 258 - 4*o**2 + 112 - 3*o**2 + 47*o - 4*o**2.
(o + 10)*(o + 37)
Suppose 432/7*n + 62 - 2/7*n**2 = 0. What is n?
-1, 217
Let m = 57381 - 57376. Let -2/5*f**m + 5042/5*f**2 - 4816/5*f + 118/5*f**4 + 1568/5 - 382*f**3 = 0. Calculate f.
1, 28
Let p = 2424493/25 + -96979. Factor p*f - 28/25 - 2/25*f**2.
-2*(f - 7)*(f - 2)/25
Suppose -196 + 13*o**2 - 1/2*o**3 - 70*o = 0. Calculate o.
-2, 14
Let a(z) be the third derivative of z**5/270 - 307*z**4/108 + z**2 - 1496. Factor a(i).
2*i*(i - 307)/9
Let n(k) = -k**3 + 4*k**2 + 2*k - 1. Let d(s) = 30*s**3 + 535*s**2 + 19125*s - 63350. Let p(a) = d(a) + 25*n(a). Factor p(h).
5*(h - 3)*(h + 65)**2
Let x(k) = -k**3 - 5*k**2 - 2*k - 4. Let h be x(-5). Let q = 37 - 32. Factor -2*u**4 + 3*u**q - 3*u**4 - u**5 - h*u**3 + u**4.
2*u**3*(u - 3)*(u + 1)
Let c be (822/56 + 3/(-7))*-4. Let m = -53 - c. Factor 0*k**m - 8*k**2 - 2*k**3 - 2*k**4 + 2*k + 10*k**2.
-2*k*(k - 1)*(k + 1)**2
Let v(c) be the first derivative of -1/14*c**2 - 196 + 2/7*c**3 + 0*c. Suppose v(x) = 0. Calculate x.
0, 1/6
Solve -135*i**3 - 7*i**2 - 4 + 107*i**3 + 63*i**3 + 6*i**2 - 68*i + 38*i**2 = 0.
-2, -2/35, 1
Let i(b) be the third derivative of -b**5/15 - 157*b**4/6 + 614*b**2. Factor i(k).
-4*k*(k + 157)
Let g(n) = 910*n**2 - 2115*n + 420. Let m(s) = 65*s**2 - 151*s + 30. Let u = 345 - 351. Let f(o) = u*g(o) + 85*m(o). Find d such that f(d) = 0.
3/13, 2
Suppose 123*r - 137*r = -2156. Let k be 88/r*56/26. Determine w so that 10/13*w**5 - 18/13*w**3 + 16/13*w**4 - k*w**2 + 0 + 8/13*w = 0.
-2, -1, 0, 2/5, 1
Let q(s) = 94*s + 760. Let t be q(-8). Let o be t + -1 + (-56)/10. Factor 4*f - 18/5*f**2 - 8/5 - 1/5*f**4 + o*f**3.
-(f - 2)**3*(f - 1)/5
Let p(u) be the third derivative of 11*u**6/540 + 29*u**5/90 + 14*u**4/9 - 16*u**3/27 + 39*u**2 - 19*u. Find y, given that p(y) = 0.
-4, 1/11
Let v = -811416 - -814304. Solve -1/2*u**2 - v - 76*u = 0.
-76
Let f(n) be the second derivative of 1/30*n**6 + n - 1 + 4/5*n**5 + 81/2*n**2 - 24*n**3 + 23/6*n**4. Factor f(m).
(m - 1)**2*(m + 9)**2
Solve 160*h**4 - 3551*h + 23099*h**3 + 142*h**4 + h**5 - 49811 - 19549*h + 0*h**5 + 4811 + 44698*h**2 = 0.
-150, -2, -1, 1
Factor 601/4 + 3/8*r**2 + 1805/8*r.
(r + 601)*(3*r + 2)/8
Suppose 4*s - 7*s + 10 = 2*o, -s = -2. Let u(d) be the second derivative of -1/4*d**5 + 0*d**o + 1/6*d**6 - 5/12*d**4 + 0 - 3*d + 5/6*d**3. Factor u(i).
5*i*(i - 1)**2*(i + 1)
Let l(d) be the second derivative of d - 19 + 1/30*d**4 - 8/5*d**2 - 2/15*d**3. Find v such that l(v) = 0.
-2, 4
Let l be 1828764/315414 - 64/22. Factor 0 - 2/9*z**3 - 44/9*z + l*z**2.
-2*z*(z - 11)*(z - 2)/9
Let j(w) be the first derivative of w**5 + 50*w**4 + 395*w**3 - 9775*w**2 - 42320*w - 5292. Let j(t) = 0. What is t?
-23, -2, 8
Let p(r) be the first derivative of 6050/13*r - 110/13*r**2 + 305 + 2/39*r**3. Suppose p(k) = 0. Calculate k.
55
Suppose -161*p - 675 = -1319. Let i(a) be the third derivative of 0*a + 0 + 5/2*a**p + 50*a**3 + 1/20*a**5 - 39*a**2. Find q such that i(q) = 0.
-10
Let u(j) be the third derivative of 4/1575*j**7 + 0*j + 0*j**3 + 1/2520*j**8 + 3 + 1/180*j**4 + 8*j**2 + 1/150*j**6 + 2/225*j**5. Suppose u(q) = 0. Calculate q.
-1, 0
What is b in 38/5*b**3 + 18*b**2 + 0 - 126/5*b - 2/5*b**4 = 0?
-3, 0, 1, 21
Let j(y) be the second derivative of 8/15*y**3 - 2/75*y**6 + 11 + 13*y - 3/25*y**5 + 0*y**2 + 0*y**4. Suppose j(p) = 0. Calculate p.
-2, 0, 1
Let m(f) = 8*f**3 - 3*f**2 + 101*f - 99. Let w be m(1). Determine y so that w + 144/5*y**2 - 4/5*y**3 - 141/5*y = 0.
1/2, 35
Let i(b) be the first derivative of 0*b + 23/18*b**4 - 55 - 16*b**2 + 2/45*b**5 + 80/9*b**3. What is x in i(x) = 0?
-12, 0, 1
Let u(o) be the second derivative of -o**4/12 - 29*o**3 - 787*o. Factor u(i).
-i*(i + 174)
Suppose p - 3*k = 173, -7*p = -4*p + 3*k - 471. Let x = 161 - p. Factor x + 4/15*i - 2/15*i**3 - 2/15*i**2.
-2*i*(i - 1)*(i + 2)/15
Let q = 84 + -84. Determine g so that -120*g - 3*g**3 + 8*g**3 + 0*g**3 - 12*g**2 - 38*g**2 + q*g**3 = 0.
-2, 0, 12
Suppose -4*j = -5*y + 65, 43 = 3*y - j + 4. Let f be (13 - y)/(-3 + 0). Factor f - d**2 - 1/2*d.
-d*(2*d + 1)/2
Factor 0 + 0*c - 4/3*c**4 + 8/3*c**3 + 4*c**2.
-4*c**2*(c - 3)*(c + 1)/3
Let o(i) be the second derivative of -i**6/240 + 27*i**5/40 - 729*i**4/16 + 35*i**3/6 - 97*i + 2. Let v(d) be the second derivative of o(d). Factor v(g).
-3*(g - 27)**2/2
Let w(y) be the first derivative of -2*y**3/3 - 1228*y**2 - 753992*y - 1143. Suppose w(u) = 0. What is u?
-614
Let u(d) be the second derivative of d**9/25200 + d**8/2240 - d**4/6 - 5*d**3/6 - 2*d - 32. Let a(k) be the third derivative of u(k). Factor a(y).
3*y**3*(y + 5)/5
Let h(u) = -u**2 - u - 1. Let x(k) = 18*k**2 + 51*k + 123. Let s(g) = 6*g - 5*g + 5*g - 2*g + 21. Let v be s(-9). Let p(f) = v*h(f) - x(f). Factor p(n).
-3*(n + 6)**2
Determine v so that 184 - 2044/5*v - 212/5*v**3 + 1332/5*v**2 + 4/5*v**4 = 0.
1, 5, 46
Let j(n) be the first derivative of -3*n**4/4 - 337*n**3/3 - 445*n**2/2 - 111*n - 1723. Factor j(d).
-(d + 1)*(d + 111)*(3*d + 1)
Let f(v) be the first derivative of -4*v**3/15 - 122*v**2/5 - 48*v - 1023. Determine y so that f(y) = 0.
-60, -1
Let t(a) be the second derivative of -a**5/70 + 16*a**4/3 - 445*a**3/21 + 222*a**2/7 + 2333*a. Factor t(s).
-2*(s - 222)*(s - 1)**2/7
Let g = 436110 - 4797200/11. What is c in g*c**2 - 2/11*c**3 + 64/11*c + 72/11 = 0?
-2, 9
Let b be ((-3813)/(-341) - 11)*(-2 - -13). Let x be 1/2*(-2)/(-3). Find h such that 2 - 1/3*h - x*h**b = 0.
-3, 2
Let s = 719/2189 - -7/199. Let w(l) be the first derivative of 3/11*l**2 - 13 - s*l - 2/33*l**3. Factor w(h).
-2*(h - 2)*(h - 1)/11
Let c(w) be the second derivative of 2 + 1/35*w**5 - 49*w + 0*w**2 + 0*w**3 + 1/3*w**4. Find v, given that c(v) = 0.
-7, 0
Let h(b) be the third derivative of b**8/84 + 4*b**7/105 - 2*b**5/15 - b**4/6 - b**2 - 1805*b. Find m, given that h(m) = 0.
-1, 0, 1
Let 1/5*c**3 + 41*c + 90 + 28/5*c**2 = 0. Calculate c.
-18, -5
Let d = 1992 - 1076. Let j = 1857/2 - d. Suppose 5 + 0*p**4 + 25*p**2 + j*p**3 - 5/4*p**5 + 75/4*p = 0. Calculate p.
-1, 4
Let l(x) be the third derivative of 5/6*x**5 + 1/3*x**6 - 2/21*x**7 - 115/24*x**4 + 25/3*x**3 + 1 - 5/336*x**8 + 0*x + 151*x**2. Factor l(g).
-5*(g - 1)**3*(g + 2