0 - i**8/16800 + 3*i**4/4 - 59*i**2. Let u(y) be the second derivative of b(y). Determine a so that u(a) = 0.
-1, 0
Let p be 68/1 - (10 + 21/(-3)). Suppose 130*w**2 + 16*w - 3 - 58*w**2 + w**3 + 15 - p*w**2 = 0. What is w?
-3, -2
Let l(b) be the second derivative of -b**5/100 - 2*b**4/15 + 53*b**3/30 + 6*b**2 - 1108*b. Factor l(t).
-(t - 5)*(t + 1)*(t + 12)/5
Let n(f) be the third derivative of -f**5/60 + 37*f**4/72 + 4276*f**2. Solve n(d) = 0 for d.
0, 37/3
Let w(j) be the third derivative of -j**6/90 + j**5/5 - 3*j**4/2 + 71*j**3/6 - 68*j**2. Let z(b) be the first derivative of w(b). Factor z(c).
-4*(c - 3)**2
Let f be (-533 - -567) + (-162)/5. Suppose -12/5*q**3 + 0 + 4/5*q**2 + f*q - 4/5*q**4 + 4/5*q**5 = 0. What is q?
-1, 0, 1, 2
Let d(i) = 23*i**3 - 46*i**2 - 13*i + 36. Let t(l) = 42*l**3 - 87*l**2 - 26*l + 71. Let p(g) = 11*d(g) - 6*t(g). Factor p(y).
(y - 1)*(y + 2)*(y + 15)
Let q(u) be the first derivative of -u**4/34 - 4*u**3/17 + 24*u**2/17 + 128*u/17 + 3694. Factor q(w).
-2*(w - 4)*(w + 2)*(w + 8)/17
Let h(y) be the second derivative of y**9/15120 - 13*y**8/6720 + 17*y**4/12 - 109*y. Let r(b) be the third derivative of h(b). Factor r(x).
x**3*(x - 13)
Let u(h) be the first derivative of -1/12*h**4 - 50*h - 85/6*h**2 - 16/9*h**3 - 85. Let u(n) = 0. What is n?
-6, -5
Let s = 96 + -91. Factor -30*o - 6*o**3 + 16*o + 8*o**2 + 11*o + o**s.
o*(o - 1)**3*(o + 3)
Suppose 24 = 5*r - 3*o, r + 6*o = 2*o - 9. Factor 17*f**3 - 144*f**3 - 6*f**4 - 21*f**2 + 82*f**r.
-3*f**2*(f + 7)*(2*f + 1)
Let g(a) = 16*a**3 - 174*a**2 + 8*a + 177. Let y(p) = 86*p**3 - 870*p**2 + 42*p + 886. Let h(i) = -16*g(i) + 3*y(i). Find j such that h(j) = 0.
-87, -1, 1
Let g(y) be the second derivative of 49*y**7/36 + 16219*y**6/180 + 1365*y**5/8 + 969*y**4/8 + 69*y**3/2 + 24*y - 19. Suppose g(z) = 0. Calculate z.
-46, -3/7, 0
Factor 2*j**4 - 19 - 96*j**2 - 4*j**4 + 88*j - 51 + 70 + 30*j**3.
-2*j*(j - 11)*(j - 2)**2
Factor 12 + 37/3*j**2 + 4/3*j**3 + 68/3*j - 1/3*j**4.
-(j - 9)*(j + 1)*(j + 2)**2/3
Let p = -96517 + 96519. Let 0 - 338/5*r - 52/5*r**p - 2/5*r**3 = 0. Calculate r.
-13, 0
Let l(j) = -23*j**2 - 1502*j + 3064. Let b(m) = -9*m**2 - 501*m + 1026. Let h(o) = 8*b(o) - 3*l(o). Factor h(t).
-3*(t - 164)*(t - 2)
Determine c, given that 0*c**2 + 0 + 2/7*c - 2/7*c**3 = 0.
-1, 0, 1
Let h = 23957/7 - 3422. Let b(o) be the first derivative of 0*o + 0*o**2 - 4/21*o**3 + 2/21*o**6 + h*o**4 - 17 - 12/35*o**5. Find n, given that b(n) = 0.
0, 1
Let u = -4467 - -1800200/403. Let p = u - -63/403. Factor 0 - p*s - 2/13*s**2.
-2*s*(s + 1)/13
Let d(c) be the second derivative of c**7/168 + c**6/20 - c**5/80 - c**4/8 - 492*c + 4. Find m, given that d(m) = 0.
-6, -1, 0, 1
Let g(b) be the third derivative of -b**8/84 + 44*b**7/105 - 14*b**6/15 - 1144*b**5/15 - 448*b**4/3 + 12544*b**3/3 + 6666*b**2. Solve g(v) = 0.
-4, 2, 14
Let o(v) = 3*v**2 - 90*v - 198. Let p(k) = 10*k**2 - 271*k - 601. Let l(j) = -19*o(j) + 6*p(j). Let l(t) = 0. Calculate t.
-26, -2
Suppose 0 = 5*q - 5*y - 830, 2*q - 7*y - 333 = -4*y. Let f be 30/q - 60/(-33). Factor -9/8 - 3/8*b**f - 15/8*b + 3/8*b**3.
3*(b - 3)*(b + 1)**2/8
Factor 464/7*s - 2/7*s**2 + 1410/7.
-2*(s - 235)*(s + 3)/7
Find n such that 8038/3*n**3 + 7334/3*n**2 - 4688/3*n - 1336 + 8*n**4 = 0.
-334, -1, -2/3, 3/4
Let c(r) be the third derivative of -r**8/378 - 17*r**7/945 - 4*r**6/135 + 13*r**5/270 + 5*r**4/27 + 4*r**3/27 + 6*r**2 - 10. Find y, given that c(y) = 0.
-2, -1, -1/4, 1
Let u = -14/251 - -809/1004. Let m(d) be the second derivative of 5/2*d**3 - u*d**5 - 5*d**2 + 0 + 1/6*d**6 + 5/12*d**4 - 4*d. Let m(b) = 0. What is b?
-1, 1, 2
Find q such that 1230*q + 548416 - 492*q + 69932 + 3*q**2 + 453*q + 1533*q = 0.
-454
Let v(d) be the second derivative of 1/16*d**2 - 1/240*d**6 + 0 - 1/24*d**3 + 1/80*d**5 + 0*d**4 - 84*d. Factor v(j).
-(j - 1)**3*(j + 1)/8
Let g(w) be the first derivative of 2*w**5/5 + 9*w**4/2 - 1163. Solve g(o) = 0.
-9, 0
Let t be 11 - ((-10)/330 + 11). Let c(j) be the first derivative of 1/11*j**2 + 8/11*j - t*j**3 + 11. Factor c(m).
-(m - 4)*(m + 2)/11
Suppose o + 2*o = 78. Suppose -3*v + o = 4*x - 78, -4*v - 16 = 0. Determine r, given that -51*r**3 - x*r**2 - 6 - 39*r - 31*r**2 + 24*r**3 = 0.
-1, -2/9
Suppose -15*n = -24*n + 27. Factor -123*u**3 + 246*u**n - 2*u**5 + 6*u**4 - 127*u**3.
-2*u**3*(u - 2)*(u - 1)
Let m(t) be the first derivative of 0*t + 8/7*t**5 - 27/7*t**4 + 24/7*t**3 + 0*t**2 - 2/21*t**6 + 98. Suppose m(x) = 0. Calculate x.
0, 1, 3, 6
Let h = 46 + -32. Suppose 6 = -2*i - h. Let q(t) = -4*t**2 + 8*t + 8. Let j(b) = 9*b**2 - 17*b - 16. Let c(k) = i*q(k) - 4*j(k). Solve c(p) = 0 for p.
-1, 4
Let t be (980/147)/((-5)/(-6)). Let i be t/(-70)*10/(-12). Factor 0 - 4/21*n**2 + 0*n - i*n**3.
-2*n**2*(n + 2)/21
Let d(q) be the first derivative of 8*q**5/25 - 26*q**4/5 + 94*q**3/5 + 182*q**2/5 + 98*q/5 + 304. Determine z so that d(z) = 0.
-1/2, 7
Suppose 0 = -4*k - 22 + 54. Suppose 5*y - k*y = 0. Solve b**2 + y*b + 3*b - b + 2 - 5*b = 0 for b.
1, 2
Let d(a) = 22*a**5 + 14*a**4 - 9*a**3 - 27*a**2. Let j(r) = 2*r**5 + r**4 + r**3 - 4*r**2. Let c(z) = -2*d(z) + 18*j(z). Determine k so that c(k) = 0.
-3, 0, 3/4, 1
Let j(k) be the first derivative of -k**5/5 - 2*k**4 - 4*k**3 + 16*k**2 + 64*k + 1612. Factor j(q).
-(q - 2)*(q + 2)*(q + 4)**2
Find r such that -3466*r**2 + 6927*r**2 - 3458*r**2 - 3231 + 1068*r = 0.
-359, 3
Suppose -k + 15 = 1. Solve k*f**3 + 155 + 156 - 44*f**2 - 299 + 8*f**4 - 38*f = 0.
-3, -1, 1/4, 2
Let h(k) be the first derivative of -k**5/25 - 2*k**4/5 + 34*k**3/15 + 4*k**2/5 - 33*k/5 - 590. Suppose h(p) = 0. Calculate p.
-11, -1, 1, 3
Let u be (-18)/(-5) - ((-6)/15 - -1). Suppose 0 = -5*w - u*d + 18 + 7, 0 = -2*w - 3*d + 19. Find x, given that 20*x**w + 731 + 5*x**3 - 731 - 20*x - 5*x**4 = 0.
-2, 0, 1, 2
Let x(k) = 858*k + 1094*k - 1960*k - 10. Let h(r) = r**2 + 15*r + 19. Let p be ((-2)/4)/(2/8). Let n(u) = p*h(u) - 5*x(u). Factor n(l).
-2*(l - 6)*(l + 1)
Let b(q) be the third derivative of q**5/240 - 191*q**4/96 + 161*q**3/3 + 20*q**2 + 8. What is a in b(a) = 0?
7, 184
Let j(a) be the first derivative of 88/3*a**3 + 726*a**2 + 0*a + 1/3*a**4 - 104. Let j(f) = 0. Calculate f.
-33, 0
Let h(q) = -15*q**4 - 248*q**3 + 5*q**2 + 1014*q - 11. Let s(d) = -11*d**4 - 186*d**3 + 4*d**2 + 760*d - 8. Let b(w) = 8*h(w) - 11*s(w). Factor b(r).
r*(r - 2)*(r + 2)*(r + 62)
Suppose 3 = 12*t - 11*t. What is q in -8 - t*q**4 + 7 - 11*q + 21*q**2 - 5 - q**3 = 0?
-3, -1/3, 1, 2
Let d(h) = -h**3 - 2*h**2 + 3*h. Let g = 1 - -1. Let l(s) = -s**3 + 3*s + s - s**g + 0*s - 2*s**2. Let n(c) = -3*d(c) + 2*l(c). Factor n(k).
k*(k - 1)*(k + 1)
Let d = 19770/17 + -98816/85. Find s, given that -4/5*s**2 + d*s**3 + 0 + 0*s = 0.
0, 2
Solve 16/7*d**2 + 36/7 - 4/7*d**4 - 20/7*d**3 + 66/7*d + 2/7*d**5 = 0 for d.
-2, -1, 3
Factor 4*f**4 + 17424 - 289*f**2 - 596*f + 40*f**3 - 80*f**2 - 2044*f - 59*f**2.
4*(f - 6)**2*(f + 11)**2
Let o(t) = -t**5 - t**4 - 4*t**3 + 12*t**2 + 6. Let r(p) = -3*p**5 - 4*p**4 - 11*p**3 + 34*p**2 + 16. Let s(n) = 8*o(n) - 3*r(n). Solve s(x) = 0 for x.
-3, -2, 0, 1
Find d, given that -67/2*d**2 - 1015/2*d + 3675/2 - 1/2*d**3 = 0.
-35, 3
Suppose -23*j - 54 = -o - 18*j, 0 = 3*o + 4*j + 28. Let 36/7*f + 2/7*f**4 + 96/7*f**2 - 162/7 + o*f**3 = 0. What is f?
-9, -3, 1
Let o(y) = -y - 5. Let d be o(-7). Suppose 6*t**2 - 228*t**4 - 9*t**3 + d*t**3 + 231*t**4 - 4*t**3 = 0. Calculate t.
0, 2/3, 3
Factor 1248*q**2 - 18/7*q**3 + 972/7 + 5830/7*q.
-2*(q - 486)*(3*q + 1)**2/7
Let x(h) be the third derivative of h**6/300 + 11*h**5/150 + 7*h**4/60 + 12*h**3 + 87*h**2. Let o(s) be the first derivative of x(s). Factor o(w).
2*(w + 7)*(3*w + 1)/5
Let u(l) = -7*l**5 - l**3 - l. Let c(f) = -12*f**5 - f**4 - 2*f**3 + f**2 - f. Let v be 5 + -3 + (-1)/4*-4. Let b(r) = v*c(r) - 5*u(r). Factor b(g).
-g*(g - 1)*(g + 1)**2*(g + 2)
Suppose 5*t - 5*a = -335, 2*t + 4*a = -41 - 75. Let q = t + 70. Factor q*w + 2/3 + 18*w**3 + 18*w**2.
2*(3*w + 1)**3/3
Factor 0 - 1/6*d**3 - 18*d**2 - 106/3*d.
-d*(d + 2)*(d + 106)/6
Let q = -1005 - -1007. Let h(a) be the second derivative of 1/6*a**6 + 0*a**q + 5/4*a**5 + 14*a + 0 + 35/12*a**4 + 5/2*a**3. What is c in h(c) = 0?
-3, -1, 0
Let z(m) be the third derivative of m**6/10 + 28*m**5/15 + 73*m**4/6 + 32*m**3 