d*h**2 = 0. Calculate h.
26
Let r be 16/(-14) + 4680/1449 + -2. Factor 4/23 - 2/23*o**2 - r*o.
-2*(o - 1)*(o + 2)/23
Let t(g) be the second derivative of 21/10*g**5 - 12*g + 0 + 1/14*g**7 + 3/5*g**6 + 3*g**2 + 4*g**4 + 9/2*g**3. Factor t(b).
3*(b + 1)**4*(b + 2)
Let g(l) = -l**2 - 3*l - 2. Let y(n) = 9*n**2 - 120*n + 12. Let q(a) = -6*g(a) - y(a). Suppose q(f) = 0. Calculate f.
0, 46
Let p be (0/(12/(-2)))/(1 - 3). Suppose o - 3 + 11 = 2*c, -4*o - 8 = p. Solve 2*z**2 + z**c + 7*z - 12*z + 3 - z**2 + 0*z = 0 for z.
-3, 1
Let x(p) be the first derivative of p**5/45 - 5*p**4/9 + 50*p - 62. Let b(k) be the first derivative of x(k). Find s, given that b(s) = 0.
0, 15
Let y(k) be the first derivative of k**4/44 + 20*k**3/33 + 89*k**2/22 - 10*k - 1281. Let y(r) = 0. What is r?
-11, -10, 1
Let h(j) be the second derivative of j**4/84 - 13*j**3/42 - j**2 - 10*j - 49. Factor h(y).
(y - 14)*(y + 1)/7
Solve 1120*k**3 - 37*k**5 - 19*k**5 - 225*k**4 - 1006*k**2 + 66*k**5 - 299*k**2 + 400*k = 0 for k.
0, 1/2, 1, 5, 16
Solve -2895 + 5*n**3 + 6335*n - 2460*n + 2393*n**2 - 3378*n**2 = 0.
1, 3, 193
Let a(h) be the second derivative of -h**4/3 - 142*h**3/3 + 760*h**2 - 1142*h + 2. Factor a(v).
-4*(v - 5)*(v + 76)
Let d be (1 - (-7 - -9))*(-831)/117. Let k = d - 88/13. Factor -2/3*r**2 + k*r**4 + 1/3*r**3 + 0 + 0*r.
r**2*(r - 1)*(r + 2)/3
Let p(n) be the first derivative of 23 - 4/9*n**3 - 20/3*n - 4*n**2. Factor p(k).
-4*(k + 1)*(k + 5)/3
Let y(a) = a**3 - 50*a + 8. Let m be y(7). Suppose 3*o = -l - m, -3*o - 85 = -5*l - 72. Factor 26/3*v - 8/3 - 2*v**l.
-2*(v - 4)*(3*v - 1)/3
Let l(k) = 2*k - 12. Let u be 17/2 - 1/2. Let c be l(u). Factor -i**2 + 0*i**5 + 2*i**c + 2*i**5 - 8*i**3 + 6*i**3 - i**2.
2*i**2*(i - 1)*(i + 1)**2
Let g = 1027/10230 + -2/5115. Let b(j) be the second derivative of g*j**5 + 0 + 7*j + 1/5*j**6 + 0*j**3 + 0*j**2 + 0*j**4. Determine y, given that b(y) = 0.
-1/3, 0
Let z be 1/7 + (-286)/(-7). Suppose 3*v - z = 1. Factor 9*h - v*h + 6 + 9*h - 10*h**2.
-2*(h - 1)*(5*h + 3)
Factor -139*q**3 - 143*q**3 + 3*q**4 + 258*q**3 - 57*q**2 - 30*q.
3*q*(q - 10)*(q + 1)**2
Let g(d) be the second derivative of -d**7/98 - 5*d**6/14 - 96*d**5/35 + 58*d**4/7 + 744*d**3/7 - 3672*d**2/7 - 9*d - 390. Suppose g(c) = 0. Calculate c.
-17, -6, 2
Let t(g) be the first derivative of -3680/3*g**3 + 13950*g**4 - 53816*g**5 + 0*g + 108 + 40*g**2 - 148955/6*g**6. Determine l so that t(l) = 0.
-2, 0, 2/31
Let y be 1/(-2)*(-74)/(-111)*(-1 - -1). Let x(f) be the first derivative of 28 + y*f**3 - 7/4*f**2 + 1/8*f**4 - 3*f. Find w, given that x(w) = 0.
-2, -1, 3
Let v(k) = -48*k**3 - 101*k**2 - 18*k + 42. Let j(c) = 2*c**4 - 3*c**3 + 2. Let n(r) = 3*j(r) - 3*v(r). Let n(f) = 0. What is f?
-20, -2, -1, 1/2
Factor 22886656 + s**2 - s**2 - 10515*s - 8621*s + 4*s**2.
4*(s - 2392)**2
Let m(v) = -2*v**2 - 10*v - 2. Let u be m(-4). Suppose u*c - 20 = c. Determine f so that 5*f + 5*f**2 - 13 + 1 - 2 + c = 0.
-2, 1
Let z = -5827 - -11655/2. Factor -1/3 + 1/6*o**2 + 1/6*o**4 + z*o**3 - 1/2*o.
(o - 1)*(o + 1)**2*(o + 2)/6
Suppose 0 = 6*k + 121816 - 121816. Let n(m) be the first derivative of k*m**4 - 3/35*m**5 + 0*m + 0*m**2 + 0*m**3 + 25. Solve n(j) = 0 for j.
0
Let x = -7/200 + 519/3400. Let w be 8/(-12) - (-192)/153. Factor 0*i**2 + 0*i - w*i**3 + 0 + x*i**4.
2*i**3*(i - 5)/17
Let b(k) be the first derivative of -6 + 1/150*k**5 + 0*k + 0*k**4 + 0*k**3 - 9/2*k**2. Let y(q) be the second derivative of b(q). Factor y(z).
2*z**2/5
Let k(l) be the first derivative of -1/12*l**4 - 18 + 1/3*l**3 + 1/30*l**6 + 0*l**2 - 15*l - 1/10*l**5. Let t(v) be the first derivative of k(v). Factor t(c).
c*(c - 2)*(c - 1)*(c + 1)
Let a be (43 - 67)*(-2 - 1)/6. Suppose 2*v + a = 4*p, 1 = -p + 5*v + 4. Find y, given that 0 + 18/5*y**p + 0*y - 6/5*y**4 - 12/5*y**2 = 0.
0, 1, 2
Let q = -3311/120 - -1157/40. Factor -1/3*m**3 + 0 - q*m**2 - m.
-m*(m + 1)*(m + 3)/3
Let g be (-9534)/(-1170) + -8 + (-4)/(-78). Let 1/5*w**2 - g*w + 0 = 0. Calculate w.
0, 1
Let y be 213/71 - (1 + -1). Let w be 6/24*y/(-3)*-16. Determine i so that 30*i**3 + 9*i**5 - 46/3*i**2 + 11/3*i - 27*i**w - 1/3 = 0.
1/3, 1
Suppose 0 = -5*x + 1961 + 2319. Factor -6*t - 892*t**3 + 23*t**4 - 2*t + 28*t**2 - 3*t**4 + x*t**3 - 4*t**5.
-4*t*(t - 2)*(t - 1)**3
Determine r, given that 105/2 + 3/4*r**2 + 213/4*r = 0.
-70, -1
Let p(m) = 10*m**5 - 63*m**4 + 61*m**3 - 57*m**2 - 14*m. Let r(x) = 5*x**5 - 32*x**4 + 34*x**3 - 28*x**2 - 6*x. Let y(i) = -3*p(i) + 7*r(i). Factor y(b).
5*b**2*(b - 5)*(b - 1)**2
Let v = -7879 - -7879. Let c(j) be the third derivative of 0 - 4/39*j**3 + 1/130*j**5 + 1/39*j**4 + 22*j**2 + v*j. Let c(t) = 0. What is t?
-2, 2/3
Let h(g) be the third derivative of g**5/570 + 583*g**4/114 - 3006*g**2. Factor h(q).
2*q*(q + 1166)/19
Suppose 4*z + 5*p - 2 = 0, 2 = -z - 3*p - 1. Let u be (-2*z/(-10))/((-51)/(-170)). Find b, given that -6/5*b**4 + 8/5*b + 0 - 14/5*b**3 + 0*b**u = 0.
-2, -1, 0, 2/3
Let u(i) = 96*i - 152. Let t be u(-8). Let n be t/(-400) + (-6)/20. Find s such that 14/15*s - 4/15 - 2/5*s**n = 0.
1/3, 2
Solve 581904*g**4 + 360*g + 154*g**2 + 100 + 2*g**5 + 331*g**2 - 581829*g**4 + 3*g**5 + 295*g**3 = 0 for g.
-10, -2, -1
Let b be 82 - 63 - 132/8. Suppose -3 - 1/2*o**2 - b*o = 0. What is o?
-3, -2
Suppose 0 = -3*m - 3*t + 12, -4*m + 5*t + 0 + 7 = 0. Factor 115*q**3 - 6250 + 5*q**4 + 153*q**3 + 2865*q**2 + 49*q**m + 13*q**3 - 85*q**3 - 3625*q.
5*(q - 2)*(q + 1)*(q + 25)**2
Let o be (-2)/11 - ((-285)/55 + -5). Suppose -o = -2*a + 2. Let -2*p - 397*p**2 + a*p + 398*p**2 + 3 = 0. Calculate p.
-3, -1
Let r(t) = 606*t**2 + 265*t + 11. Let h(p) = -908*p**2 - 398*p - 16. Let c(u) = 15*h(u) + 22*r(u). Suppose c(s) = 0. Calculate s.
-1/2, 1/72
Factor 0 - 6/7*u**2 + 1/7*u**4 + 8/7*u - 3/7*u**3.
u*(u - 4)*(u - 1)*(u + 2)/7
Factor -7684/5*n**2 - 7380482/5*n - 2/5*n**3 + 0.
-2*n*(n + 1921)**2/5
Let d(g) be the first derivative of 3*g**5/5 + 117*g**4 + 6084*g**3 + 405. Factor d(x).
3*x**2*(x + 78)**2
Let c = 535 - 531. Suppose 0 = 2*h + 5*d - 24, -c*h + d - 4*d + 20 = 0. Solve 1/3*s**5 - 2/3*s**3 + 1/3*s - 2/3*s**h + 1/3 + 1/3*s**4 = 0 for s.
-1, 1
Let f(c) = -36 + 13*c**2 + 19*c**2 + 123*c - 18*c**3 - 4*c**2 + 5*c**2. Let z(v) = v**3 + 2*v**2 + v. Let n(h) = -f(h) + 3*z(h). Factor n(m).
3*(m - 3)*(m + 2)*(7*m - 2)
Let k be 45/9 + -14 + 22. Factor 13 + 57*c**2 - 54*c - 26 + k - 3*c**3.
-3*c*(c - 18)*(c - 1)
Suppose -737/3 + 1/3*v**2 + 56/3*v = 0. Calculate v.
-67, 11
Suppose 0 = 48*n + 3*n - 222360. Determine j, given that -13077*j**3 - 1232*j**3 - 19980*j**2 - 449 + 6668*j**3 - n*j - 3645*j**4 + 129 - 23949*j**3 = 0.
-8, -2/9
What is p in -244*p**3 + 4*p**4 - 2035 + 4069 - 2034 = 0?
0, 61
Let o be ((-32)/(-12))/((-2)/(-3)). Let l(h) = 6906*h + 69068. Let k be l(-10). Solve 2 + 7/2*a**3 - k*a - 21/2*a**o + 17/2*a**2 + 9/2*a**5 = 0 for a.
-1, 2/3, 1
Let l(v) = 7*v**2 + 21*v + 22. Let p be (-3 - 5) + 3 + 4. Let u(t) = -t**2 - 1. Let w(o) = p*l(o) - 4*u(o). Factor w(x).
-3*(x + 1)*(x + 6)
Let m(u) = u**2 - 14*u - 11. Let t be m(13). Let l be (-2 - -21) + (-6)/t*4. Determine c, given that 11*c**2 - 7*c**2 - 11*c + l - 13*c = 0.
1, 5
Suppose -w - 14 = -4*d, -4*d - 3 = -5*w - 9. Let k(p) be the first derivative of -1/2*p**4 + 0*p + 0*p**3 + 0*p**w + 17. Determine i, given that k(i) = 0.
0
Let z = 3841 - 153639/40. Let m(l) be the third derivative of 1/8*l**3 - z*l**5 - 14*l**2 + 0 + 1/32*l**4 + 0*l. Suppose m(i) = 0. Calculate i.
-1/2, 1
Let w(x) be the third derivative of -x**7/1050 + 97*x**6/600 + 149*x**5/150 + 5*x**4/3 - 2376*x**2. Determine k, given that w(k) = 0.
-2, -1, 0, 100
Let b(l) be the first derivative of 2*l**3/3 + 52*l**2 - 106*l + 2145. Find n, given that b(n) = 0.
-53, 1
Let z(r) be the third derivative of -3*r**3 + 0 - 14*r**2 - 13/40*r**5 - 3/8*r**4 + 0*r - 1/30*r**6. Let a(g) be the first derivative of z(g). Factor a(s).
-3*(s + 3)*(4*s + 1)
Let b(x) be the second derivative of 1/105*x**7 - 51*x + 27/25*x**5 + 4/25*x**6 + 18/5*x**4 + 0 + 27/5*x**3 + 0*x**2. Find t, given that b(t) = 0.
-3, 0
Find o such that -196/11*o**2 + 64/11*o**4 + 142/11*o**3 + 272/11 - 2/11*o**5 - 280/11*o = 0.
-2, 1, 34
Suppose 0 = -8*j - 172 + 100. Let m be (-22)/j + -16 + (-4 - -18). Solve -10/9*f**3 + 0 + 2/3*f**5 + m*f - 2/9*f**2 + 2/9*f**4 = 0 fo