3 + 0*a + 0*a**2 + 0 + 3/2*a**5 = 0. What is a?
-27, 0, 2/9
Let h(g) be the third derivative of g**5/180 + 23*g**4/36 - 1798*g**2 + g. Factor h(x).
x*(x + 46)/3
Factor 464*c**2 - 119*c**4 + 436*c + 123*c**4 - 1332*c**2 + 428*c**3.
4*c*(c - 1)**2*(c + 109)
Let q(u) be the first derivative of 123 + 0*u**2 + 75*u**3 - 105/4*u**4 - u**5 + 0*u + 5/6*u**6. Solve q(x) = 0.
-5, 0, 3
Let v(c) be the second derivative of -231361*c**4/21 + 19240*c**3/21 - 200*c**2/7 + 9028*c. Factor v(x).
-4*(481*x - 10)**2/7
Let l be 300/120*14/25. Let h(y) be the second derivative of l*y**5 + 6*y**4 + 16*y**2 - 34*y + 40/3*y**3 + 2/15*y**6 + 0. Solve h(t) = 0.
-2, -1
Let z = -9331782/11 - -848344. Factor -z*a**2 + 8/11*a**4 - 5/11*a**5 - 1/11*a**3 + 0*a + 0.
-a**2*(a - 1)**2*(5*a + 2)/11
What is l in -4*l**2 + 0 + 25/3*l**3 + 0*l - 14/3*l**4 + 1/3*l**5 = 0?
0, 1, 12
Let i(f) = 23*f - 136. Let y be i(18). Factor 284*c**3 + 5*c - y*c**3 + 8*c**2 + 2*c**5 - 3*c**4 - 13*c - 5*c**4.
2*c*(c - 2)**2*(c - 1)*(c + 1)
Let s(a) be the first derivative of 5*a**4/4 - 150*a**3 - 915*a**2/2 - 460*a + 377. Factor s(r).
5*(r - 92)*(r + 1)**2
Let b(k) be the third derivative of k**6/360 + 203*k**5/20 + 123627*k**4/8 + 25096281*k**3/2 + 813*k**2. What is t in b(t) = 0?
-609
Let u(h) be the first derivative of -13/27*h**6 + 13/18*h**4 - 4/45*h**5 + 4/27*h**3 + 48 + 0*h + 0*h**2. Determine t so that u(t) = 0.
-1, -2/13, 0, 1
Suppose 7*w + 6*w = -65. Let b = w + 8. Suppose 28*o**2 + 6*o - 2*o + o - o + 24*o**b = 0. What is o?
-1, -1/6, 0
Let r(n) be the third derivative of n**5/90 - 329*n**4/18 - 40*n**2 - 6*n - 3. What is h in r(h) = 0?
0, 658
Let f be 347/226 + (-5)/(60/18). Let w = 658/565 + f. Find j, given that 0*j**2 + w + 3/5*j**3 - 9/5*j = 0.
-2, 1
Let z(m) be the second derivative of -m**4/32 - 261*m**3/4 - 3129*m**2/16 + 4005*m. Factor z(l).
-3*(l + 1)*(l + 1043)/8
Let p(n) be the third derivative of -n**7/105 + n**6/12 + 3*n**5/5 - 5*n**4/3 - 56*n**3/3 + 4369*n**2 - n. Solve p(g) = 0 for g.
-2, 2, 7
Let l(y) = y**3 + 4*y**2 - 8*y - 13. Let n be l(-6). Let q = n + 39. Suppose -2 - 8*f**4 + 3*f**3 + 9*f**2 + 5*f**4 + q*f**3 - 4*f**3 + 3*f = 0. Calculate f.
-1, 1/3, 2
Let l(p) = 11*p - 53. Let x be l(5). Factor -68*c**4 + 0*c - 32*c**4 - 163*c**3 + 53*c**3 - 41*c**x - 2*c - 110*c**3.
-c*(c + 2)*(10*c + 1)**2
Let f(l) be the second derivative of 18 - 338/3*l**2 - 208/9*l**3 - 16/9*l**4 + l. Factor f(d).
-4*(4*d + 13)**2/3
Let u = 1404 - 35098/25. Let z(s) be the first derivative of 0*s - u*s**5 - 1/5*s**4 + 2/5*s**2 + 19 + 2/15*s**3. Solve z(v) = 0 for v.
-2, -1, 0, 1
Solve 8*y**3 - y**4 - 344*y**2 - 80*y - y**4 - 267*y**2 + 685*y**2 = 0 for y.
-5, 0, 1, 8
Find x, given that 0 + 15*x + 3/5*x**2 = 0.
-25, 0
Let k(u) = u**2 - 1. Let p(j) = 2 - 10*j**2 + 46 - 61*j - 7 - 61*j + 7. Let d(o) = -36*k(o) - 2*p(o). Let d(l) = 0. Calculate l.
1/4, 15
Let q(f) be the first derivative of f**7/21 - 2*f**6/15 + f**4/3 - f**3/3 - 235*f + 258. Let j(m) be the first derivative of q(m). Determine a so that j(a) = 0.
-1, 0, 1
Let g(m) be the first derivative of m**3 - 144*m**2 - 588*m + 637. Suppose g(k) = 0. What is k?
-2, 98
Factor -18/7 - 4/7*k**2 - 22/7*k.
-2*(k + 1)*(2*k + 9)/7
Let u(q) be the third derivative of -q**8/672 - q**7/35 + q**6/16 + 13*q**5/60 - 1150*q**2. Determine x so that u(x) = 0.
-13, -1, 0, 2
Find p such that 158*p + 7/4*p**2 + 45 = 0.
-90, -2/7
Let x(l) be the second derivative of l**7/42 + 2*l**6/15 - l**5/4 + 1044*l. Determine f, given that x(f) = 0.
-5, 0, 1
Let r(f) be the second derivative of f**9/40320 + 3*f**8/8960 - f**7/960 + 4*f**4/3 + f**2 + 130*f. Let a(u) be the third derivative of r(u). Factor a(l).
3*l**2*(l - 1)*(l + 7)/8
Let m be ((-10)/7)/(60 + (-56225)/910). What is n in 0 + m*n**2 - 1/5*n**3 - 4/5*n = 0?
0, 2
Let w(z) be the first derivative of z**4/12 + 37*z**3/9 + 65*z**2/2 + 93*z - 6342. Factor w(n).
(n + 3)**2*(n + 31)/3
Let s(h) be the second derivative of 3*h**5/80 - 11*h**4/48 - h**3/12 + 3*h**2 - 3525*h. Solve s(t) = 0 for t.
-4/3, 2, 3
Factor -190/17*r**2 - 128/17*r - 50/17*r**3 - 24/17.
-2*(r + 3)*(5*r + 2)**2/17
Let n(x) be the second derivative of x**6/150 + 7*x**5/100 + 7*x**4/60 - x**3/2 - 3*x - 103. Determine l so that n(l) = 0.
-5, -3, 0, 1
Let y(r) be the second derivative of r**7/112 - 17*r**6/80 + 87*r**5/80 + 23*r**4/4 - 74*r**3 + 264*r**2 + 3623*r. Find u such that y(u) = 0.
-4, 2, 4, 11
Factor 99/2*v + 306 - 1/4*v**2.
-(v - 204)*(v + 6)/4
Let c(k) = 16*k**2 + 32*k + 151. Let z(w) = 13*w**2 + 32*w + 152. Let m(b) = 4*c(b) - 5*z(b). Factor m(r).
-(r + 6)*(r + 26)
Let b(p) be the third derivative of p**5/20 - 43*p**4 - 346*p**3 + p**2 + 3863. Factor b(a).
3*(a - 346)*(a + 2)
Let h(z) be the third derivative of -1/8*z**4 + 1/1260*z**7 - 1/4*z**3 + 0*z + 1 + 1/360*z**6 - 1/45*z**5 + 70*z**2. Determine f so that h(f) = 0.
-3, -1, 3
Let y(u) be the second derivative of -65 + 1/2*u**3 + 1/4*u**4 + 0*u**2 + 2*u. Solve y(g) = 0 for g.
-1, 0
Let a be (24/42)/(10/(-35)). Let s be (19/(-10) - a)/(24/540). Determine c so that -1/2 - s*c - c**2 = 0.
-2, -1/4
Suppose 18*a - 21 - 3 = 6*a. Let h(i) be the third derivative of 0*i - 1/4*i**5 - 9/70*i**7 - 11*i**a - 1/4*i**4 + 0*i**3 + 2/5*i**6 + 0. Solve h(f) = 0.
-2/9, 0, 1
Let u(x) be the first derivative of -x**6/8 + 12*x**5/5 - 243*x**4/16 + 73*x**3/2 - 30*x**2 - 360. Suppose u(d) = 0. Calculate d.
0, 1, 2, 5, 8
Let v(u) = 6*u - 12. Let s be v(-17). Let k = -103 - s. Suppose k - 21 + d**2 + 9 = 0. Calculate d.
-1, 1
Let t(j) be the second derivative of j**6/45 - 8*j**5/15 + 31*j**4/9 + 16*j**3/9 - 21*j**2 - 2*j + 170. What is g in t(g) = 0?
-1, 1, 7, 9
Let b(p) be the second derivative of p**5/330 - 5*p**4/66 - p**3/3 + 35*p**2 + 105*p. Let f(t) be the first derivative of b(t). Factor f(a).
2*(a - 11)*(a + 1)/11
Let u(f) be the third derivative of -5*f**8/336 + 17*f**7/42 + 29*f**6/12 + 10*f**5/3 - 555*f**2 - 3*f + 3. Determine v, given that u(v) = 0.
-2, -1, 0, 20
Let w = -89750 - -89750. Suppose w + 1/5*z - 1/5*z**2 = 0. What is z?
0, 1
Let k be (8/30)/(1170/975). Let l(g) be the second derivative of 1/30*g**5 + 4/9*g**3 + 0 + 0*g**2 + k*g**4 + 18*g. Factor l(b).
2*b*(b + 2)**2/3
Let z(n) = n + 4. Let g(d) = 1. Let c(t) = -3*g(t) + z(t). Let w(f) = 22*f**2 + 11*f - 11. Let y(p) = -c(p) + w(p). Suppose y(h) = 0. Calculate h.
-1, 6/11
Let q(t) = -3*t**4 + 32*t**3 - 71*t**2 + 93*t - 16. Let j(o) = -o**4 + 11*o**3 - 25*o**2 + 31*o - 6. Let n(h) = -14*j(h) + 4*q(h). Factor n(i).
2*(i - 10)*(i - 1)**3
Let b = -98 + 105. Let m(s) be the first derivative of 0*s + 5/9*s**3 + b - 5/3*s**2. Determine n, given that m(n) = 0.
0, 2
Let v be (101 + -98)*4/24. Solve -v*m + 1/8*m**2 + 3/8 = 0 for m.
1, 3
Let t be -26*(-111)/12*-2. Let v = t - -1456/3. Let 2*o**3 + v*o**2 + 1/3 + 8/3*o = 0. Calculate o.
-1, -1/6
Suppose 0 = -3*d - 9 - 57. Let h be 4 - (2/11 - (-26)/d). Factor 5*m**5 - 15*m**3 - 25*m**2 - 9*m + h*m**4 + m - 2*m.
5*m*(m - 2)*(m + 1)**3
Let 1398/7*c + 2/7*c**3 + 108/7*c**2 + 1292/7 = 0. Calculate c.
-34, -19, -1
Let i(b) be the first derivative of -4*b**5/35 + 31*b**4/7 - 236*b**3/21 + 58*b**2/7 + 6119. Solve i(y) = 0 for y.
0, 1, 29
Factor 4/3*v**4 - 244/3*v**2 - 124/3*v - 116/3*v**3 + 0.
4*v*(v - 31)*(v + 1)**2/3
Suppose 3*i + 1725 - 1773 = 0. Suppose i*c - 99 - 93 = 0. Find n, given that -c*n - 1/4*n**3 - 9 - 13/4*n**2 = 0.
-6, -1
Let m(l) be the third derivative of -l**8/1848 - l**7/231 + 3*l**6/220 + 41*l**5/330 - 8*l**4/33 - 20*l**3/11 + 112*l**2 - 3*l. Let m(v) = 0. What is v?
-5, -3, -1, 2
Let g(h) = -2*h + h - h**2 + 2 - 3. Let m(b) = -4*b**2 - 6*b - 4. Let z be (4 - 40/6)*(-99)/(-44). Let v(o) = z*m(o) + 28*g(o). Let v(d) = 0. Calculate d.
1
Let m(a) = -a**3 + 20*a**2 - a + 38. Let t be m(20). Suppose d - 5*d + 9*d**5 + 24*d**4 + d + t*d**3 = 0. What is d?
-1, 0, 1/3
Let i(a) be the third derivative of -a**8/12 + 136*a**7/105 - 31*a**6/6 - 10*a**5/3 + 819*a**2 - 2*a. Factor i(q).
-4*q**2*(q - 5)**2*(7*q + 2)
Let x(d) be the third derivative of 1/60*d**5 + 0*d - 4*d**3 - 28*d**2 + 0 - 5/12*d**4. Factor x(c).
(c - 12)*(c + 2)
Let g(z) = -16*z**2 - 4772*z - 4566. Let n(f) = 5*f**2 + 1584*f + 1522. Let a(h) = -3*g(h) - 10*n(h). Determine u, given that a(u) = 0.
-761, -1
Let b(r) be the third d