68)). Find n, given that 13*n + 17*n**3 - 15*n**2 + 9*n - 12*n**3 - f*n - 5 = 0.
1
Let o be ((-73)/(-438))/(14/42). Let -o*c**3 - 1/2*c**2 + 0 + c = 0. Calculate c.
-2, 0, 1
Let y(t) be the third derivative of 1/8*t**4 - 20*t**2 + 0*t + 0 - 1/40*t**6 - 1/210*t**7 + 1/12*t**5 - 2/3*t**3. Determine o so that y(o) = 0.
-4, -1, 1
Let r(f) be the third derivative of -f**7/42 - f**6/6 - f**5/4 + 2*f**2 - 240*f. Factor r(k).
-5*k**2*(k + 1)*(k + 3)
Factor 69/4*g**2 + 63/4 - 129/4*g - 3/4*g**3.
-3*(g - 21)*(g - 1)**2/4
Let s(r) be the second derivative of -r**5/4 + 25*r**4/3 + 215*r**3/6 + 55*r**2 - 30*r + 6. Factor s(v).
-5*(v - 22)*(v + 1)**2
Let c(v) be the second derivative of 177/80*v**5 + 189/16*v**4 + 1/20*v**6 + v + 39/2*v**2 - 4 + 23*v**3. Solve c(i) = 0 for i.
-26, -2, -1, -1/2
Suppose 17*u = 100 + 376. What is k in -8*k - 20*k**4 + 4*k**5 + 7*k**2 + 4681 + u*k**3 - 3*k**2 - 4665 - 24*k = 0?
-1, 1, 2
Let r(l) be the third derivative of -1/3*l**3 + 1/8*l**4 + 4*l**2 + 1/480*l**6 - 1/40*l**5 + 9*l + 0. Factor r(k).
(k - 2)**3/4
Let u be (0 - 0)*1920/26880. Solve 3*f + 5/2*f**2 + u - 1/2*f**4 - f**3 = 0.
-3, -1, 0, 2
Suppose -12208 = -9*d - 7*d. Let s = d + -760. Suppose 6/5*v**2 + 2/5*v**s + 0*v + 0 = 0. Calculate v.
-3, 0
Suppose 0 = -32*m + 36*m - 2392. Find b, given that -2*b**3 - 30*b**2 + 297*b - m*b + 303*b + 30 = 0.
-15, -1, 1
Let o be 12/(-6) - ((-9342)/2232 - -2) - (-4)/62. Let 3/2*k**4 - 1/2*k**3 - 3*k**2 + 1/4*k**5 + o*k + 3/2 = 0. Calculate k.
-6, -1, 1
Let y(u) be the first derivative of 0*u**4 - 33 + u - 5/12*u**3 + 1/20*u**5 + 0*u**2. Determine m, given that y(m) = 0.
-2, -1, 1, 2
Let s(t) be the first derivative of -77 + 0*t**3 + 0*t + 1/5*t**5 - 1/18*t**6 - 1/6*t**4 + 0*t**2. Find i, given that s(i) = 0.
0, 1, 2
Factor 0*b**2 + 0*b + 0 + 24*b**3 - 1/4*b**4.
-b**3*(b - 96)/4
Solve 2/9*v**4 - 800/9*v**2 + 1664/9*v + 88/9*v**3 + 0 = 0.
-52, 0, 4
Let j(t) be the third derivative of 0*t**3 + 25/6*t**4 + 0 - 35*t**2 + 0*t - 1/12*t**5. Let j(h) = 0. Calculate h.
0, 20
Suppose 3*x = 2*i + 14, -2*x - 2*x + i + 12 = 0. Let u be 0/((9 - 5 - 5)*(13 + -14)). Factor -o**3 + 1/4*o**5 + 3/4*o + u*o**4 - 1/2*o**x + 1/2.
(o - 2)*(o - 1)*(o + 1)**3/4
Let j(n) be the third derivative of -n**9/181440 + n**8/8640 - n**7/945 + n**6/180 + n**5 + 61*n**2. Let d(l) be the third derivative of j(l). Factor d(t).
-(t - 3)*(t - 2)**2/3
Let r(h) be the first derivative of -h**5/20 + 17*h**3/6 - 12*h**2 + 63*h/4 - 1185. Factor r(n).
-(n - 3)**2*(n - 1)*(n + 7)/4
Let x(f) = 6*f**3 - 2*f. Suppose -2*o = -4*o + 4. Let z(v) = -2*v + 11*v**3 - v - o*v**2 + 0*v + v**2. Let t(h) = 7*x(h) - 4*z(h). What is l in t(l) = 0?
0, 1
Let o(g) be the first derivative of -2*g**6/3 + 36*g**5/5 + 3*g**4 - 116*g**3/3 + 36*g**2 - 135. Find w such that o(w) = 0.
-2, 0, 1, 9
Let t(v) be the third derivative of v**7/1120 - v**6/80 + v**4 + v**3 - 12*v**2. Let y(z) be the first derivative of t(z). Solve y(r) = 0 for r.
-2, 4
Suppose -2*u = -i - 1563, 3*u = -4*i - 2632 - 3675. Let y be 28/65 - (-363)/i. Factor -6/5*v + y*v**2 + 0.
v*(v - 6)/5
Let v(o) be the third derivative of -4*o**2 + 0*o - 2/33*o**3 - 3/44*o**4 + 4 - 2/55*o**5 - 1/132*o**6. Suppose v(f) = 0. Calculate f.
-1, -2/5
Let g be 74424/13290 - (-4)/(-15). Solve -2/3*h**5 - 80/3*h**2 - g*h**4 + 30*h**3 - 88/3*h + 32 = 0 for h.
-12, -1, 1, 2
Factor 523*h**2 + 416*h - 990*h**2 + 534*h**2 + 345*h**2 - 4*h**3.
-4*h*(h - 104)*(h + 1)
Let f(a) = a**3 + 8*a**2 - 3*a - 24. Let w be f(-8). Suppose -9*p + 3*p + w*p = 0. Factor 0 + 1/4*d**2 - 1/2*d**4 + p*d - 7/8*d**3.
-d**2*(d + 2)*(4*d - 1)/8
Let m = 22 - 19. Let o be (-136)/1564 + (-3492)/(-2070). Determine j so that -o*j**m + 0 + 0*j + 12/5*j**2 = 0.
0, 3/2
Suppose 4*p = 4*h + 4, 3*h + h + 10 = 6*p. Factor -1/7*l**5 + 0*l + 0*l**3 + 0 + 0*l**h - 6/7*l**4.
-l**4*(l + 6)/7
Let a = 13687 + -13685. Let f(c) be the first derivative of 33 + 2*c - 5/9*c**3 - 1/6*c**4 + 1/6*c**a. Suppose f(q) = 0. What is q?
-2, -3/2, 1
Let t = 5134 - 5132. Suppose -2*g - y + 5*y = -16, 0 = -2*g + 3*y + 14. Factor -8 - 63*j**4 + 59*j**4 - 5*j + g*j**3 + j + 12*j**t.
-4*(j - 2)*(j - 1)*(j + 1)**2
Let v(z) be the second derivative of z**4/4 + 3*z**3/2 + 3*z**2 - 3*z + 324. Factor v(n).
3*(n + 1)*(n + 2)
Let l(w) be the third derivative of -4*w**2 + 1/273*w**7 + 0 + 7/780*w**6 - 1/78*w**5 - 1/26*w**4 - 1/2184*w**8 + 12*w + 0*w**3. Suppose l(x) = 0. Calculate x.
-1, 0, 1, 6
Let m be ((-2)/4)/(3 + (-711)/234). Suppose -2*x - 59 = -51, -3*j + x = -m. Solve 1/4*i**4 + 9 - 11/4*i**2 - 3*i + 1/2*i**j = 0 for i.
-3, 2
Determine v, given that -4*v**2 - 337*v - 422*v + 7*v**2 - 4*v**2 - 915*v = 0.
-1674, 0
Let o = 2718589 - 5336589957/1963. Let b = 4/151 + o. Determine h, given that 4/13*h**2 + 0 + 8/13*h**3 - 4/13*h**4 - 6/13*h - b*h**5 = 0.
-3, -1, 0, 1
Let u be (((-10)/140)/((-4)/(-8)))/((-3)/63). Factor -3*f**2 - 3/4*f**u + 9*f + 0.
-3*f*(f - 2)*(f + 6)/4
Let d = -7563 + 105897/14. Let p(n) be the second derivative of -15/28*n**5 - 9/14*n**3 - 23*n + d*n**4 + 0*n**2 + 0. What is x in p(x) = 0?
0, 3/5
Let c(v) be the second derivative of -3*v**5/80 - 85*v**4/8 + 75*v - 6. Find i, given that c(i) = 0.
-170, 0
Suppose 0 = b + 252*y - 249*y + 27, -4*b - 36 = 4*y. Let r(j) = j**2 - 3*j. Let u be r(3). Solve b*p**2 + u + 0*p**3 + 0*p - 1/2*p**4 = 0.
0
Let d = -931122 + 931129. Determine z, given that 1/3*z**4 + 8/3*z**3 + d*z**2 + 0 + 6*z = 0.
-3, -2, 0
Find s, given that -31959*s - 6891*s - 60601337 - 5*s**2 - 14864788 = 0.
-3885
Let c = 8076 + -201866/25. Let s(i) be the first derivative of 0*i - 8/15*i**3 + 1 + 0*i**2 - 8/5*i**4 - 1/3*i**6 - c*i**5. What is r in s(r) = 0?
-2, -1, -2/5, 0
Let w(l) be the third derivative of 121*l**6/480 + 2651*l**5/60 - 967*l**4/24 + 44*l**3/3 + 1184*l**2. Suppose w(p) = 0. Calculate p.
-88, 2/11
Determine u, given that 0 + 2/7*u**5 + 52/7*u**3 - 22/7*u**4 - 32/7*u**2 + 0*u = 0.
0, 1, 2, 8
Let o be ((-3)/(-2))/((-30)/(-40)). Find i such that -9*i**3 + 13*i**2 - 15*i**3 - 32*i**2 - 3*i**4 - 29*i**o = 0.
-4, 0
Let m(j) be the first derivative of -j**8/2520 + j**7/315 + j**6/540 - j**5/45 + 5*j**3 - 120. Let u(b) be the third derivative of m(b). Solve u(v) = 0.
-1, 0, 1, 4
Let i(t) = 1 + t**3 + 1586*t**2 - 1586*t**2. Let u(p) = -2*p**3 - 4*p**2 + 4*p - 3. Let c(l) = -4*l - 15. Let o be c(-3). Let v(k) = o*i(k) - u(k). Factor v(j).
-j*(j - 2)**2
Factor 0 + 31/8*z**2 + 7/2*z**3 - 1/8*z**4 - 29/4*z.
-z*(z - 29)*(z - 1)*(z + 2)/8
Let m(v) be the second derivative of v**8/4032 - v**6/144 - v**5/36 + 7*v**4/12 - 2*v**3/3 + v - 39. Let c(g) be the third derivative of m(g). Factor c(b).
5*(b - 2)*(b + 1)**2/3
Let h(b) be the third derivative of 0*b + 1/2100*b**7 - 1/240*b**6 - 1/100*b**5 + 0*b**4 + 0 + 14*b**2 + 0*b**3. Determine w so that h(w) = 0.
-1, 0, 6
Let l be 112/32*(-1)/((-1)/(-4)). Let v be (90/l - -9)/(15/28). Find j, given that 2/5*j**3 - 16/5*j + 2/5*j**2 - v = 0.
-2, 3
Let d(z) be the second derivative of -2/9*z**3 + 1/15*z**5 - 1/9*z**6 - 43*z + 5/18*z**4 + 0*z**2 + 2. Let d(f) = 0. What is f?
-1, 0, 2/5, 1
Let z(m) be the second derivative of -m**5/30 - 71*m**4/18 - 1295*m**3/9 - 1225*m**2/3 + 9*m - 42. Factor z(g).
-2*(g + 1)*(g + 35)**2/3
Suppose 40*m = 23*m + 51. Determine d, given that -241*d**3 - 2*d + 117*d**3 + 5*d**2 + 120*d**m + d**4 + 0*d**4 = 0.
0, 1, 2
Let o be -9 - (-16)/288*282. Let d(j) be the first derivative of 1 - o*j**3 + 15/4*j**4 - 5/2*j**2 + 10*j. Factor d(y).
5*(y - 1)**2*(3*y + 2)
Find d such that 4*d**4 + 41966*d**2 - 1982*d**2 + 58*d**3 + 477*d**3 + 273*d**3 - 83232*d = 0.
-102, 0, 2
Let y = 2308379/5 + -461675. Factor -y - 2/5*u + 2/5*u**2.
2*(u - 2)*(u + 1)/5
Let l(a) = 7*a**3 - 87*a**2 - 274*a + 330. Let s(h) = h**3 - h**2 - 3*h - 1. Let d(c) = 5*l(c) - 30*s(c). Suppose d(z) = 0. Calculate z.
-4, 1, 84
Factor -101*n**3 + 6536 + 4*n**4 - 752*n**2 - 768*n - 75*n**3 - 6536.
4*n*(n - 48)*(n + 2)**2
Let y(j) = 5*j - 68. Let i be y(14). Suppose 17*r**2 + 2140 - i*r**2 + 932 - 12*r**2 - 192*r = 0. What is r?
32
Let c(x) be the second derivative of x**4/6 + 13*x**3/15 - 12*x**2 + 5350*x. Find l such that c(l) = 0.
-5, 12/5
Let l(w) be the first derivative of -w**6/27 - 16*w**5/45 + 4*w**4/9 + 64*w**3/9 - 16*w**2 - 1812. Factor l(c).
-2*c*(c - 2)**2*(c 