 0.
-2, 2/11
Let j = -141519 + 141627. Solve -108*a**3 + 56/3*a**4 - j*a + 536/3*a**2 + 56/3 = 0 for a.
2/7, 1, 7/2
Let w(p) = -1 - 18*p**2 - 18*p**2 + 67*p**2 - 10*p**2 - 19*p**2. Let i(c) = 11*c**2 + 10*c + 11. Let n(l) = -i(l) + 5*w(l). Suppose n(k) = 0. Calculate k.
-8, -2
Let w(m) = 8*m**3 + 1508*m**2 + 748*m - 752. Let n be w(-188). Factor 3/4*c**3 - 19/2*c**2 + n - 13/4*c.
c*(c - 13)*(3*c + 1)/4
Let q be (9 - 11) + 0 + 52/6. Let m(y) be the second derivative of -40*y**2 - q*y**3 + 0 - 14*y - 1/4*y**5 + 35/12*y**4. Solve m(a) = 0.
-1, 4
Let x = -132 + 663/5. Let t(r) be the first derivative of -6 + 2/5*r**2 + 1/15*r**3 + x*r. Solve t(z) = 0 for z.
-3, -1
Let c = -10189 + 10191. Let n(a) be the first derivative of 8/85*a**5 + 1/51*a**6 - 29 + 0*a + 0*a**c + 5/34*a**4 + 4/51*a**3. Factor n(d).
2*d**2*(d + 1)**2*(d + 2)/17
Solve -2/5*b**2 + 1568/5 - 66/5*b = 0 for b.
-49, 16
Let a be (-5 + 6)*(-1 + -66). Let c = 42 + a. Let b(r) = -85*r**2 - 25. Let g(p) = -7*p**2 - 2. Let j(d) = c*g(d) + 2*b(d). Determine x so that j(x) = 0.
0
Determine f, given that 5/3*f**3 + 0*f + 0*f**2 + 1/3*f**4 + 0 = 0.
-5, 0
Let j(l) = 726*l**2 - 10*l. Let q(s) = 2*s**2 + s. Let c(f) = j(f) + 6*q(f). Suppose c(d) = 0. What is d?
0, 2/369
Let f(h) be the first derivative of 29 + 0*h - 17/3*h**3 + 0*h**2 - 49/12*h**4 - 7/30*h**5 - 1/180*h**6. Let w(j) be the third derivative of f(j). Factor w(k).
-2*(k + 7)**2
Let f(h) be the second derivative of 1/5*h**6 + 80*h + 1/18*h**4 + 0*h**3 + 1/5*h**5 + 0*h**2 + 4/63*h**7 + 0. Factor f(i).
2*i**2*(i + 1)**2*(4*i + 1)/3
Let f(h) = h**3 + 28*h**2 - 28*h + 77. Let w be f(-29). Factor 36*a**3 + 32*a**5 + 82*a**2 + 24*a**4 - 98*a**2 - w*a - 28*a**5.
4*a*(a - 1)*(a + 2)**2*(a + 3)
Let a(z) be the first derivative of -2*z**5/5 + 73*z**4/2 - 758*z**3 - 7137*z**2 - 18252*z - 934. Solve a(t) = 0 for t.
-3, -2, 39
Let n = 1/24430 + 97707/317590. Let i(d) be the first derivative of n*d - 8 - 4/39*d**3 + 1/26*d**4 - 1/13*d**2. Determine z, given that i(z) = 0.
-1, 1, 2
Suppose 1/5*i**3 + 135*i - 15*i**2 - 325 = 0. Calculate i.
5, 65
Let -7/6*l**4 - 28/3*l**2 - 47/6*l**3 + 10/3*l + 0 = 0. Calculate l.
-5, -2, 0, 2/7
Let b(d) = 3*d**2 + 17*d - 50. Let u(i) = -22 - 3 + 26 + 2*i. Let w(r) = -b(r) + 4*u(r). Suppose w(h) = 0. What is h?
-6, 3
Suppose 0 = -13*i + 2994 + 6275. Let q = i - 711. Factor 1/2*y**q - 1/2 - 1/4*y + 1/4*y**3.
(y - 1)*(y + 1)*(y + 2)/4
Let k(m) = 2*m**3 - m**2 + 1. Let h(t) = -t**3 + 113*t**2 - 800*t + 1502. Let z(s) = -h(s) + 2*k(s). Factor z(q).
5*(q - 10)**2*(q - 3)
Let l(x) be the first derivative of -7*x**2 - 151 + 343*x + 1/21*x**3. Factor l(g).
(g - 49)**2/7
Let i(h) be the second derivative of h**5/35 - 20*h**4/7 + 50*h**3 - 2500*h**2/7 + 1577*h. Factor i(d).
4*(d - 50)*(d - 5)**2/7
Let h(c) be the first derivative of 14/27*c**3 + 1/9*c**4 - 4/9*c**2 + 0*c - 34. Factor h(w).
2*w*(w + 4)*(2*w - 1)/9
Let q be (-91)/210 - (48/(-72))/((-20)/(-18)). Let i be (-2)/10 - 62/(-60). Factor 3/2*b + 1/2*b**2 - q*b**3 + i.
-(b - 5)*(b + 1)**2/6
Let b(k) be the first derivative of 2*k**5/15 + 26*k**4/3 + 686*k**3/9 - 132*k**2 - 1152. Factor b(f).
2*f*(f - 1)*(f + 9)*(f + 44)/3
Let v be (5673/26474)/((-27)/(-28)). Solve -8 - 32/9*z + v*z**2 = 0 for z.
-2, 18
Let s(w) be the second derivative of -w**4/102 + 716*w**3/17 + 2149*w**2/17 - 5662*w. Let s(o) = 0. What is o?
-1, 2149
Let h be 3642/(-42) + 87 - 10/133. Factor -h*u - 6/19*u**2 + 0.
-2*u*(3*u + 2)/19
Let m be (25704/272)/((2/(-10))/(644/(-1150))). Determine i so that -m*i + 126/5*i**2 + 0 - 3/5*i**3 = 0.
0, 21
Factor -3*g**3 - 6 + 8*g - 1/2*g**4 + 3/2*g**2.
-(g - 1)**2*(g + 2)*(g + 6)/2
Let t(o) be the second derivative of -o**7/105 + o**6/15 - 9*o**5/50 + 7*o**4/30 - 2*o**3/15 - 8*o + 14. Factor t(c).
-2*c*(c - 2)*(c - 1)**3/5
Let n(v) be the first derivative of -15*v**4/16 - 51*v**3/4 - 33*v**2 + 2292. Factor n(d).
-3*d*(d + 8)*(5*d + 11)/4
Let s be (88/(-60))/((-14)/10). Let b(u) be the first derivative of 8/7*u + s*u**3 - 16 + 3/14*u**4 + 12/7*u**2. Find d, given that b(d) = 0.
-2, -1, -2/3
Let y(f) = 2*f**2 + 13240*f + 21793190. Let i(o) = 2*o**2 + 13234*o + 21793192. Let z(a) = 6*i(a) - 5*y(a). Suppose z(s) = 0. Calculate s.
-3301
Let l(d) be the first derivative of -d**6/18 + 13*d**5/5 - 110*d**4/3 + 1784*d**3/9 - 504*d**2 + 1840*d/3 + 3857. Find p, given that l(p) = 0.
2, 10, 23
Suppose k - 34 = 5*r, 21*r = 3*k + 15*r - 57. Suppose k = -24*g + 57. Factor 3/8*y**3 - 3/8 - 9/8*y**g + 9/8*y.
3*(y - 1)**3/8
Let a(t) be the second derivative of -t**4/30 + 22*t**3/15 - 21*t**2 - t - 1075. Suppose a(f) = 0. What is f?
7, 15
Let h(k) be the first derivative of 5*k**6/9 + 122*k**5/15 + 107*k**4/6 - 82*k**3/9 - 112*k**2/3 - 40*k/3 + 1011. Suppose h(a) = 0. Calculate a.
-10, -2, -1, -1/5, 1
Suppose 0 = 5*q + 3*r - 23, -r + 8 = 5*q - 13. Let 32*b**q + 4186*b**2 - 4206*b**2 - 12*b**4 + 25*b**3 - 25*b**5 = 0. What is b?
-1, 0, 4/5, 1
Find f such that -2/5*f**5 + 78/5*f**4 - 1866/5*f + 2012/5*f**2 + 598/5 - 164*f**3 = 0.
1, 13, 23
Let u(q) be the third derivative of q**5/100 + 13*q**4/8 + 252*q**3/5 + 6360*q**2. Determine f so that u(f) = 0.
-56, -9
Let k(s) be the first derivative of 3*s**5 - 207*s**4/2 - 1076*s**3 - 612*s**2 + 4176. Factor k(a).
3*a*(a - 34)*(a + 6)*(5*a + 2)
Suppose 13*c + 67 = 16*c + 2*u, -86 = -4*c - 2*u. Let q(j) be the first derivative of 4*j + 8/3*j**3 + 5*j**2 + 1/2*j**4 - c. What is g in q(g) = 0?
-2, -1
Let v(q) be the first derivative of -1/270*q**6 + 0*q**2 + 1/90*q**5 + 18 + 1/9*q**4 + 25/3*q**3 + 0*q. Let i(t) be the third derivative of v(t). Factor i(n).
-4*(n - 2)*(n + 1)/3
Let a(v) be the first derivative of -v**4/66 - 8*v**3/33 - 10*v + 9. Let l(q) be the first derivative of a(q). What is t in l(t) = 0?
-8, 0
Let c be (40 + 5957/(-148))*-12. Let -1/3*w**2 + 0 + 0*w - 2*w**3 - 4/3*w**5 - c*w**4 = 0. What is w?
-1, -1/4, 0
Let n(j) = 4427*j - 97392. Let k be n(22). Factor -2*f**k - 1/2*f**5 + 3/2*f**3 - 2*f + f**4 + 0.
-f*(f - 2)**2*(f + 1)**2/2
Let s(f) be the first derivative of 5*f**4/4 + 10*f**3/3 - 365*f**2/2 + 350*f - 547. Factor s(o).
5*(o - 7)*(o - 1)*(o + 10)
Let q(f) be the second derivative of 3*f**5/50 + 54*f**4 + 19440*f**3 + 3499200*f**2 + 14*f - 310. Suppose q(g) = 0. Calculate g.
-180
Let x(m) be the first derivative of -m**6/6 - 2*m**5 + 3*m**4 + 10*m**3/3 - 11*m**2/2 - 219. Solve x(c) = 0 for c.
-11, -1, 0, 1
Find j such that 1613077*j - 27*j**2 - 3*j**3 - 15 - 18 - 1613014*j = 0.
-11, 1
Determine n, given that -1/5*n**2 + 1/5*n**3 - 2/5*n + 0 = 0.
-1, 0, 2
Let y(w) be the first derivative of -w**5/40 - 5*w**4/6 + 7*w**3/3 + 157*w**2/2 - 107. Let s(z) be the second derivative of y(z). Factor s(t).
-(t + 14)*(3*t - 2)/2
Let c(k) be the second derivative of -169*k**7/14 - 2561*k**6/5 - 837*k**5/4 + 2501*k**4/2 + 782*k**3 + 180*k**2 - 15*k + 59. Find p such that c(p) = 0.
-30, -1, -2/13, 1
Let o(h) be the second derivative of -20/33*h**3 - 14 + 8/55*h**5 + 4/231*h**7 + 17/165*h**6 - 2*h - 4/11*h**2 - 13/66*h**4. Suppose o(y) = 0. Calculate y.
-2, -1, -1/4, 1
Let l be ((-275)/20)/((-3)/12). Factor -8*m**2 + 5*m**2 - 12*m**2 - 12 + 1079*m**4 - 1074*m**4 - l*m + 15*m**3 - 18.
5*(m - 2)*(m + 1)**2*(m + 3)
Let v(z) be the third derivative of 10*z**2 + 1/1470*z**7 + 1/210*z**6 - 1/42*z**4 + 0*z**3 + 0*z + 0 - 1/420*z**5. Determine o, given that v(o) = 0.
-4, -1, 0, 1
Suppose -93*v + 584*v**3 + 36 - 499/2*v**2 + 160*v**4 = 0. What is v?
-4, -2/5, 3/8
Suppose -15315 = -28*w - 2295. Let -415*m + 65*m**4 + 4896*m**2 + 400 - 320*m**3 - w*m - 5*m**5 - 4136*m**2 = 0. Calculate m.
2, 5
Suppose 45 - 8 = 4*d + o, -4*o = -4*d + 32. What is q in -3*q + d*q - 5*q**3 - 11*q - 42*q**2 + 12*q**2 + 10 + 10*q**4 = 0?
-1, 1/2, 2
Let h(d) be the third derivative of 7/80*d**5 + 1/16*d**4 + 0*d**3 + 3*d + 10*d**2 + 0 + 1/32*d**6. Factor h(k).
3*k*(k + 1)*(5*k + 2)/4
Let b be -1*368/(-36) - (-47 + 57) - 38/(-72). Determine r so that 2 - 5/4*r**4 - b*r**2 + 11/2*r**3 - 11/2*r = 0.
-1, 2/5, 1, 4
Let i(u) = u**3 - 7*u - 5. Let k(n) be the first derivative of -n**4/4 - n**2/2 - n + 105. Let g(q) = i(q) - k(q). Factor g(c).
2*(c - 2)*(c + 1)**2
Factor -360/11*m + 2/11*m**3 + 114/11*m**2 + 0.
2*m*(m - 3)*(m + 60)/11
Let r = -2703 - -2714. Let m(u) = -22*u + 11