 + 199*b**6/240 + 209*b**5/60 + 37*b**4/6 + 16*b**3/3 + 780*b**2. Solve l(r) = 0 for r.
-4, -1, -2/5, 8
Let v be (-1)/15 - 1*4/(-25 + 5). Solve -96/5 - v*c**2 - 16/5*c = 0 for c.
-12
Let i(k) = 5*k - 9. Let d be i(6). Let z be (-54)/(-21) + 9/d. Factor 24*a**2 - 28*a**3 + z*a + a - 95 + 95.
-4*a*(a - 1)*(7*a + 1)
Let n(j) be the second derivative of j**6/10 - 9*j**5/20 - 3*j**4/4 + 7*j**3/2 + 9*j**2 - 1025*j + 2. Factor n(u).
3*(u - 3)*(u - 2)*(u + 1)**2
Let z be (-4 - (5 - 14)) + -1. Determine a so that -6*a**z - 5*a**4 - 36*a**2 - 21*a**5 - 12*a + 47*a**4 + 33*a**3 = 0.
-1, -2/7, 0, 1, 2
Let b(n) be the third derivative of -n**5/60 - 97*n**4/24 - 95*n**3/3 + 16*n**2 + 25*n. Suppose b(j) = 0. What is j?
-95, -2
Let d(k) be the second derivative of 0*k**4 + 0*k**2 + 0*k**3 - 1/5*k**6 + 3/140*k**5 + 156*k + 13/98*k**7 + 0. Factor d(s).
3*s**3*(s - 1)*(13*s - 1)/7
Let x(h) be the third derivative of h**6/120 - h**5/20 - 25*h**4/24 - 7*h**3/2 + 2202*h**2. Suppose x(u) = 0. What is u?
-3, -1, 7
Let f(d) be the third derivative of 1/80*d**5 + 2*d**2 + 0*d**3 - 23/32*d**4 + 0*d + 55. Factor f(u).
3*u*(u - 23)/4
Let y(c) be the first derivative of c**6/27 + 56*c**5/9 - c**4/18 - 280*c**3/27 + 3943. What is z in y(z) = 0?
-140, -1, 0, 1
Let a be (-80)/(-12) + 10/(-15). Let i be (0 + 2)/(65/10 - a). Factor 8/3*q - i*q**2 + 0.
-4*q*(3*q - 2)/3
Let c(v) be the first derivative of v**5 - 55*v**4/2 + 700*v**3/3 - 500*v**2 + 13193. What is x in c(x) = 0?
0, 2, 10
Let z(x) = 15*x - 160. Let n be z(12). Let l be (-2)/(-12) - (110/n)/(-11). Suppose 1 + l*f - 1/3*f**2 = 0. Calculate f.
-1, 3
Let i = -1138231 + 5691201/5. What is p in 2/5*p**5 + i*p**2 - 28/5*p + 0 - 14/5*p**4 - 6/5*p**3 = 0?
-2, 0, 1, 7
Determine n, given that -3219*n**2 + 132*n - 4132*n**2 - 259*n + 132*n + 1686*n**2 = 0.
0, 1/1133
Suppose 2327*u - 23 = 2322*u - 3. Let y(k) be the first derivative of -1 + 2/9*k + 16/27*k**3 + 8/9*k**u - 7/9*k**2. Factor y(s).
2*(s + 1)*(4*s - 1)**2/9
Determine c, given that -8154/7*c + 0 - 6/7*c**2 = 0.
-1359, 0
Suppose 3*c = -2*c + 5. Suppose -c = -a + 1. Factor 13*v**3 + 4*v**2 + 9*v**3 - 4*v**4 - a*v**5 + 2*v - 22*v**3.
-2*v*(v - 1)*(v + 1)**3
Let l(d) be the first derivative of d**5/5 - 145*d**4 - 1163*d**3/3 - 291*d**2 - 1680. Factor l(z).
z*(z - 582)*(z + 1)**2
Factor 11*g**3 - 53744*g + 18*g**3 + 36367*g**2 - 10752 + 71*g**3 - 103487*g**2.
4*(g - 672)*(5*g + 2)**2
Let r(c) = 9*c**3 + 5*c**2 - 13*c + 17. Let p(v) = 10*v**3 + 7*v**2 - 11*v + 18. Let j(s) = -3*p(s) + 4*r(s). Factor j(u).
(u - 1)*(u + 2)*(6*u - 7)
Let c(d) be the second derivative of -5*d**7/42 + 5*d**6 - 23*d**5/4 - 145*d**4/2 - 6403*d. Solve c(i) = 0.
-2, 0, 3, 29
Let c be (11 + 905/(-80))*(-6)/5. Let x(o) be the second derivative of 9*o + 7/24*o**3 + 0 + c*o**2 + 1/12*o**4. Factor x(n).
(n + 1)*(4*n + 3)/4
Let i(z) be the first derivative of -125*z**6/6 - 195*z**5 - 285*z**4/2 + 4970*z**3/3 - 4425*z**2/2 + 1125*z + 1036. Find v such that i(v) = 0.
-5, 3/5, 1
Let a be (-108)/72 - (-14)/4. Let y(i) be the first derivative of 0*i + 2/9*i**4 + 8/27*i**3 + 0*i**a + 2/45*i**5 + 8. Let y(k) = 0. Calculate k.
-2, 0
Let n be (-3)/(-6)*-2 + 4. Let y = -1802/3 - -604. Solve -8/3 + 10/3*u**n + 2/3*u**4 - y*u + 2*u**2 = 0.
-4, -1, 1
Let n(a) = a**2 + 236*a + 450. Let v(i) = -i. Let g(j) = 4*n(j) + 36*v(j). Determine m so that g(m) = 0.
-225, -2
Let x(b) be the second derivative of -2*b**3 + 2*b**2 + 2/5*b**5 + 3 + 2/21*b**7 + 2/3*b**4 - 2/5*b**6 - b. Suppose x(g) = 0. Calculate g.
-1, 1
Let m(p) = -100*p + p**3 + 1 + 108*p + 10*p**2 - 7. Let z be m(-9). Factor 0*g**z + 4*g**2 - 3*g**3 + 9*g**3 + 3*g**4 - g**2.
3*g**2*(g + 1)**2
Suppose -4*j + u + 616 = 3*u, -164 = -j + 2*u. Find i, given that -91*i**3 - 81*i**3 + j*i**3 + 12*i**2 - 5 - 11 + 4*i**4 + 16*i = 0.
-1, 1, 2
Let l(h) be the second derivative of -h**7/63 + 2*h**6/45 + 13*h**5/30 - 7*h**4/9 - 8*h**3/3 + 21*h + 19. Solve l(i) = 0.
-3, -1, 0, 2, 4
Let t(k) be the third derivative of -k**5/45 - 217*k**4/24 + 163*k**3/18 + 7156*k**2. Solve t(l) = 0.
-163, 1/4
Let l = -308 + 324. Let v(x) = -x**2 + 18*x - 29. Let o be v(l). Find b, given that 1/2*b**4 - 3*b**o + 0 - 4*b + 6*b**2 = 0.
0, 2
Let z be (20/(-64))/((-205)/20 + 10). Factor -3/8*n - 1/8*n**5 + 3/4*n**4 - 3/2*n**3 + z*n**2 + 0.
-n*(n - 3)*(n - 1)**3/8
Suppose -5/4*u - 1/2*u**4 - 1/4*u**5 + 3/2*u**3 + 2*u**2 - 3/2 = 0. Calculate u.
-3, -1, 1, 2
Let y = 36 - 20. Let f(r) = -36*r - 1906. Let k be f(-53). Factor 3 + 12*a - 2*a**k + y - 5.
-2*(a - 7)*(a + 1)
Suppose 15*t = -7*t + 40*t - 36. Suppose 0 + 2/5*j**t + 26/5*j = 0. What is j?
-13, 0
Let j(b) be the first derivative of 0*b - 80 - 32/9*b**3 - 31/12*b**4 + 0*b**2 + 1/15*b**5. Factor j(t).
t**2*(t - 32)*(t + 1)/3
Let c(s) = 7*s**2 - 23*s. Let r(d) = -15*d**2 + 45*d. Let q be (0 - 2/(-9)) + 340/90. Let h(n) = q*r(n) + 9*c(n). Suppose h(k) = 0. What is k?
0, 9
Let m(t) = 28*t + 4. Let h be m(-3). Let a be (-5)/(h/22) - 3/3. Let 225/8*p + a*p**3 - 375/8 - 45/8*p**2 = 0. What is p?
5
Let a(h) = 2*h**2 + 234*h - 35. Let z(t) = t**2 + 117*t - 15. Let y(c) = 3*a(c) - 7*z(c). Suppose y(x) = 0. What is x?
-117, 0
Let f(a) be the first derivative of -14*a**3 + 4/25*a**5 + 13/2*a**4 + 136/5*a - 20*a**2 - 233. Suppose f(r) = 0. Calculate r.
-34, -1, 1/2, 2
Let g be (-315)/135*2/(-28). Let f = 906 + -904. Factor -g*c**4 - 1/2*c + 0 - 5/6*c**3 - 7/6*c**f.
-c*(c + 1)**2*(c + 3)/6
Let y(j) = -j**2 - 10*j + 301. Let a = -487 + 464. Let i be y(a). Suppose 1/4*n - n**i + n**4 + 0 - 1/4*n**3 = 0. Calculate n.
-1, 0, 1/4, 1
Suppose -4*b = 2*z - 14, 0 = -z + 6*z - 15. Let p be 17 + -19 + 184/b. Factor -597*o**2 + 5*o**4 - o**4 + p*o**3 + 192*o**2 - 9*o**4.
-5*o**2*(o - 9)**2
Factor 1000/11 + 2/11*v**3 + 0*v - 30/11*v**2.
2*(v - 10)**2*(v + 5)/11
Let p(s) = 19*s**2 - 3. Let w(a) = 24*a**2 + a - 5. Let o(n) = 5*p(n) - 4*w(n). Factor o(j).
-(j - 1)*(j + 5)
Let p(h) = -17*h**2 - 7*h - 3. Let y(f) = 16*f**2 + 8*f + 2. Let k be -3 + 4 - (-3 - 0) - 6. Let t(a) = k*p(a) - 3*y(a). Suppose t(z) = 0. Calculate z.
-5/7, 0
Let i(s) be the third derivative of s**5/60 - 107*s**4/8 + 17*s**2 + 18. Factor i(n).
n*(n - 321)
Let 2/15*c**3 - 58/15*c + 16/5 + 8/15*c**2 = 0. What is c?
-8, 1, 3
Let v(r) be the first derivative of 2*r**3/15 + 272*r**2/5 + 216*r + 4852. Factor v(j).
2*(j + 2)*(j + 270)/5
Let v(t) be the third derivative of -t**6/720 - 11*t**5/120 - 19*t**4/16 - 27*t**3/4 + 1893*t**2. Factor v(w).
-(w + 3)**2*(w + 27)/6
Let n(d) = -34*d**2 + 1031*d + 268319. Let q(i) = -41*i**2 + 1030*i + 268318. Let y(l) = 6*n(l) - 5*q(l). Factor y(b).
(b + 518)**2
Let f = -6313 - -10395/2. Let d = f + 1118. Factor 5/2*g - d*g**3 + 25/2 - 25/2*g**2.
-5*(g - 1)*(g + 1)*(g + 5)/2
Let t be 1/(-3) + (-9 - 400/(-30)). Factor -280*y**3 - 2*y**t - 10*y**4 + 1214*y**2 - 5134*y**2 + 7*y**4.
-5*y**2*(y + 28)**2
Let h = 2/4239 + 2824/4239. Factor -h*o**2 + 0 + 2/3*o.
-2*o*(o - 1)/3
Let f(x) be the second derivative of -x**4/78 - 6*x**3/13 + 63*x**2/13 + 5*x + 1. Let f(r) = 0. What is r?
-21, 3
Let h be (-78)/52 + (-2693)/(-1794). Let q = h - -137239/1794. Determine u, given that -21/2*u**3 - q*u + 27 - 60*u**2 = 0.
-3, 2/7
Let n(x) be the third derivative of x**6/660 + x**5/15 + 6*x**4/11 - 393*x**2 - 5*x + 1. Let n(b) = 0. What is b?
-18, -4, 0
Suppose 126 = -4*y + 1442. Let j = y + -2300/7. Suppose 0 - j*i**3 + 9/7*i**2 - 6/7*i = 0. What is i?
0, 1, 2
Let h(l) be the first derivative of 2*l**7/105 + l**6/10 + l**5/5 + l**4/6 - 37*l**3/3 + 51. Let v(s) be the third derivative of h(s). Solve v(o) = 0 for o.
-1, -1/4
Let q be ((-10)/40)/(8/(-128)). Let p(k) be the first derivative of -11 + 5/9*k**3 + 0*k - 1/12*k**q - k**2. Solve p(b) = 0.
0, 2, 3
Let y(w) be the second derivative of w**5/60 + 23*w**4/36 - 55*w**3/6 + 87*w**2/2 + 1408*w. Factor y(s).
(s - 3)**2*(s + 29)/3
Let b(p) = -p**2 + 2*p. Let t(c) = -3382 + 1706 + 8*c**2 + 20*c + 1724. Let w(l) = 12*b(l) + t(l). Factor w(u).
-4*(u - 12)*(u + 1)
Let h(l) be the second derivative of l**5/50 - l**4/15 - 56*l**3/5 - 4973*l. What is o in h(o) = 0?
-12, 0, 14
Let t(s) be the second derivative of s**5/220 + 67*s**4/132 + 371*s**3/33 + 3301*s. Factor t(g).
g*(g + 14)*(g + 53)/11
Factor 1098*f + 7442/7 + 246/7*f**2 + 2/7*f**3.
2*(f + 1)*(f + 