ond derivative of l(k). What is i in s(i) = 0?
-2/5, 0
Let g(l) be the third derivative of -l**6/420 - 59*l**5/210 - 899*l**4/84 - 841*l**3/21 - 543*l**2. Determine z, given that g(z) = 0.
-29, -1
Let c = 200 + -90. Let w be (-132)/c*(-2)/(-6)*-10. Factor 0*p**3 - 1/3*p**w + 0 + 0*p + 0*p**2.
-p**4/3
Let i(o) = -o**5 - o**4 + o**3 - o**2 - o. Let y(u) = -6*u**5 - 6*u**4 + 11*u**3 - 7*u**2 - 10*u + 3. Let c(p) = 15*i(p) - 3*y(p). Factor c(t).
3*(t - 1)**3*(t + 1)*(t + 3)
Let g(w) = -31*w**2 + 32*w + 3. Let l be g(1). Let j(b) be the second derivative of 4/3*b**2 - 4/3*b**l - 14/9*b**3 - 9*b + 3*b**5 + 0. Factor j(a).
4*(3*a - 1)**2*(5*a + 2)/3
Let b(r) = 5*r**4 - 8*r**3 - 7*r**2 + 12*r - 2. Let a(p) = 15*p**4 - 23*p**3 - 22*p**2 + 37*p - 7. Let o = 39 + -41. Let l(t) = o*a(t) + 7*b(t). Factor l(z).
5*z*(z - 2)*(z - 1)*(z + 1)
Let i = -105 + 108. Let p(s) be the third derivative of 1/240*s**6 + 0*s + 1/12*s**i + 4*s**2 + 7/96*s**4 + 7/240*s**5 + 0. Factor p(y).
(y + 1)*(y + 2)*(2*y + 1)/4
Let z = 12 + -2. Suppose 0 = -2*w + 16 - z. Factor 1/2*p**w + 2*p + 0 + 2*p**2.
p*(p + 2)**2/2
Let b(k) be the first derivative of -15 + 5/3*k**3 - k**5 - 5*k**2 + 0*k + 5/2*k**4. Factor b(p).
-5*p*(p - 2)*(p - 1)*(p + 1)
Let t = -1068 + 1068. Let d(a) be the third derivative of -1/12*a**4 + 1/3*a**3 + 1/60*a**6 + 0 - 6*a**2 + t*a - 1/30*a**5. Suppose d(i) = 0. Calculate i.
-1, 1
Suppose -n - n = -18. Let m = n - 7. Factor 2*z**3 + z**4 - m*z**5 - 3*z**4 + 2*z**4.
-2*z**3*(z - 1)*(z + 1)
Let b(h) = 23*h**4 + 46*h**3 + 7*h**2 + 8. Let k(x) = -8*x**4 - 16*x**3 - 2*x**2 - 3. Let r(s) = 3*b(s) + 8*k(s). Factor r(t).
5*t**2*(t + 1)**2
Let x(f) = -7 - 30*f**2 + 16*f**2 + 14*f - 4 + f**3. Let a be x(13). Factor 3*v**3 + 14*v + 0*v**3 - 8*v - 2 - 6*v**a - v**3.
2*(v - 1)**3
Let q = -958 + 963. Let x(r) be the second derivative of -9/7*r**2 + 1/70*r**5 + q*r + 1/7*r**3 + 5/42*r**4 + 0. Suppose x(b) = 0. Calculate b.
-3, 1
Let p(m) = -m**4 + 82*m**3 - 201*m**2 + 167*m - 32. Let w(v) = -2*v**4 - v**3 - v**2 - v. Let d(o) = 5*p(o) + 15*w(o). Solve d(f) = 0.
2/7, 1, 2, 8
Let y(f) be the first derivative of 1/10*f**3 - 1/100*f**5 - 2 - 1/30*f**4 + 0*f**2 - 2*f. Let a(d) be the first derivative of y(d). Factor a(v).
-v*(v - 1)*(v + 3)/5
Let -480*o + 168*o**2 + 10*o**4 - 78*o**3 + 108*o**3 - 384 - 19*o**4 = 0. Calculate o.
-4, -2/3, 4
Let j(k) be the first derivative of 3/4*k**4 - 3/5*k**5 + 3*k**3 + 16 - 6*k - 3/2*k**2. Solve j(i) = 0.
-1, 1, 2
Let y = -6/1393 - -2864/18109. Factor -2/13*i + 4/13 - 4/13*i**2 + y*i**3.
2*(i - 2)*(i - 1)*(i + 1)/13
Let c(t) be the third derivative of 35/12*t**4 - 1/12*t**5 + 0 + 8*t**2 + 0*t - 245/6*t**3. Factor c(s).
-5*(s - 7)**2
Let o = -88 - -92. Factor -2*x**4 - 3*x**3 + 5*x - 5*x - x**o.
-3*x**3*(x + 1)
Let b(x) be the first derivative of -x**8/504 + x**7/315 + 5*x**2/2 - 4. Let o(w) be the second derivative of b(w). Factor o(v).
-2*v**4*(v - 1)/3
Suppose 0 = 5*o - 25, -5*v + 16 = 2*o - 14. Let k(l) = 2*l - 20. Let a be k(14). Solve -v*r**4 - 29*r**3 + 9*r**3 - a*r**2 - 4*r**4 = 0 for r.
-2, -1/2, 0
Suppose 98/13*l**5 + 120/13*l**2 + 0 + 200/13*l - 84/13*l**4 - 262/13*l**3 = 0. What is l?
-1, 0, 10/7
Let v(t) = t**3 + 5*t**2 + 15*t + 30. Let j be v(-3). Let f(d) be the second derivative of 0 - 4*d**2 - 1/3*d**4 + j*d**3 - 4*d. Suppose f(r) = 0. Calculate r.
1/2, 4
Let t(y) be the third derivative of -5*y**8/1176 - 2*y**7/735 + 13*y**6/84 - 17*y**5/105 - 2*y**4/7 - y**2 + 13*y. What is g in t(g) = 0?
-4, -2/5, 0, 1, 3
Let k(q) = -22*q**3 + 556*q**2. Let c(a) = -3*a**3 + 79*a**2. Let m(y) = 15*c(y) - 2*k(y). Solve m(v) = 0.
0, 73
Let m(n) = 4114*n**3 - n**2 + 4*n - 4. Let c be m(1). Find h such that -5*h**2 + 4108*h**5 + 5*h**4 + 15*h**3 - 10*h - 1 + 1 - c*h**5 = 0.
-1, 0, 1, 2
Factor -50/3*b - 1/3*b**3 + 19/3*b**2 + 32/3.
-(b - 16)*(b - 2)*(b - 1)/3
Factor -484*s - 158*s - 14162 - 17820 - 2365 - s**2 - 2*s**2.
-3*(s + 107)**2
Let x(d) be the first derivative of -d**5 + 62. Solve x(a) = 0.
0
Let c = -62 + 97. Suppose -5*f + c = 4*t, 5*f + 4*t - 2*t = 25. Factor -f*u + 0*u**2 - 3*u**2 + u**2 - u**2.
-3*u*(u + 1)
Let x(z) be the first derivative of -z**6/6 - 3*z**5/5 - z**4/4 + z**3 + z**2 - 378. Determine v so that x(v) = 0.
-2, -1, 0, 1
Let o(u) be the second derivative of -u**7/18900 + 7*u**6/2700 - 49*u**5/900 + 5*u**4/4 - 4*u. Let b(n) be the third derivative of o(n). What is h in b(h) = 0?
7
Let c be 3 - (-4 + 3/1). Factor -6 - c*q**2 + 6 + 16*q - 12*q.
-4*q*(q - 1)
Let i = 5191/6932 + 2/1733. Factor 3/8*j**2 - 9/8*j + i.
3*(j - 2)*(j - 1)/8
Let c = 1511 + -1511. Factor c + 8/7*y**2 + 4/7*y**3 + 4/7*y.
4*y*(y + 1)**2/7
Let j = 1 + -3/4. Let k(d) be the first derivative of j*d**4 - 1/5*d**5 + 0*d + 1/3*d**3 + 1 - 1/2*d**2. Factor k(r).
-r*(r - 1)**2*(r + 1)
Let k(t) be the third derivative of -t**9/70560 + t**8/70560 - t**5/4 - 7*t**2. Let s(x) be the third derivative of k(x). Factor s(r).
-2*r**2*(3*r - 1)/7
Let q be 21 - (-4)/(-4)*-2. Suppose -20*w**5 + q*w**5 + 7*w**2 - 6*w**4 - 3*w**3 - w**2 = 0. What is w?
-1, 0, 1, 2
Factor -12/5*z + 13/5*z**2 + 0 - 1/5*z**3.
-z*(z - 12)*(z - 1)/5
Let f(l) be the third derivative of l**5/80 + 5*l**4/16 - 39*l**3/8 - 3*l**2 + 34*l. Solve f(b) = 0 for b.
-13, 3
Let i(d) = 2*d**2 - 13*d + 0*d - d**2. Let a(j) be the first derivative of j**3/3 - j**2/2 - 198. Let q(b) = -3*a(b) - i(b). Find n, given that q(n) = 0.
0, 4
Let p(m) be the third derivative of -m**8/196 - 8*m**7/735 + 13*m**6/210 - 2*m**5/35 - 40*m**2. What is z in p(z) = 0?
-3, 0, 2/3, 1
Let d be 3/(2 + (-1)/2) - 0. Let i(q) be the second derivative of 1/5*q**d + 0 - 7/30*q**3 - 1/20*q**5 + 3/20*q**4 + 1/150*q**6 - 6*q. Factor i(n).
(n - 2)*(n - 1)**3/5
Let h = -78 - -81. Let s(m) be the second derivative of 3*m + 0*m**4 + 0 + 0*m**h + 0*m**2 - 1/60*m**6 + 0*m**5. Factor s(v).
-v**4/2
Let a(j) be the second derivative of j**4/12 + 5*j**3 + 29*j**2/2 + 254*j. Solve a(k) = 0 for k.
-29, -1
Let g be (-2 + (-4)/(-6))/((-48)/108). Suppose -4*i + 2*l + 5 + 7 = 0, g*i + 4 = -5*l. Factor -2/11*s**3 - 24/11*s + 12/11*s**i + 16/11.
-2*(s - 2)**3/11
Let a(l) = 5*l**3 + 41*l**2 - 85*l + 51. Let i(t) = -4*t**3 - 41*t**2 + 84*t - 49. Let g(f) = -5*a(f) - 6*i(f). Solve g(q) = 0.
1, 39
Suppose 0 = 4*u - s - 196, -u - 4*s + 5*s + 46 = 0. Solve -85*g - 5*g**3 - 20*g**2 - u - 7*g**2 - 3*g**2 - 10*g**2 = 0 for g.
-5, -2, -1
Suppose 264 = 8*f - 0*f. Suppose f*d - 59*d - 4*d**2 + 11*d - d**2 = 0. What is d?
-3, 0
Let a(s) be the third derivative of -s**6/140 + 67*s**5/105 - 22*s**4/21 + 2*s**2 + 113. Factor a(b).
-2*b*(b - 44)*(3*b - 2)/7
Factor -24/5*x**2 - 2/5*x**3 - 54/5*x + 16.
-2*(x - 1)*(x + 5)*(x + 8)/5
Let p(l) be the second derivative of -l**4/48 - 5*l**3/24 - 3*l**2/4 + l - 9. Factor p(b).
-(b + 2)*(b + 3)/4
Let -29*h**3 - 30*h**3 - 29*h**3 - 35*h**3 - 86432*h - 87616 + 1180*h**2 + 119*h**3 = 0. What is h?
-1, 148
Let y(l) be the second derivative of -2*l**5/5 - 5*l**4/2 - 4*l**3 + 4*l**2 + 263*l. Factor y(s).
-2*(s + 2)**2*(4*s - 1)
Let u be 1666/(-1190) - (-7)/5. Find g, given that 0*g**2 - 9*g**3 + 3/2*g**4 + 0*g + u = 0.
0, 6
Let x be 6/(-4)*(-48)/36. Find o such that -1/4*o**3 + 3*o + 2*o**x - 1/4*o**4 + 0 = 0.
-2, 0, 3
Let l(d) be the second derivative of d**6/36 - d**5/12 + 5*d**4/72 - 7*d - 4. Factor l(v).
5*v**2*(v - 1)**2/6
Let v(c) be the second derivative of -c**7/8820 - c**6/504 - c**5/105 + c**4/2 - 9*c. Let b(f) be the third derivative of v(f). Suppose b(o) = 0. Calculate o.
-4, -1
Let r(y) be the first derivative of -4*y**4 + 92*y**3/3 - 60*y**2 - 36*y + 87. Factor r(p).
-4*(p - 3)**2*(4*p + 1)
Let g be ((-240)/(-90))/(1/(-3)) - (14 + -24). Factor 0 + 1/2*u**g + 1/2*u.
u*(u + 1)/2
Let a = -276257/7 + 39578. Let l = -111 + a. Solve 75/7*b**5 + 207/7*b**3 - 30*b**4 + 0 - 12*b**2 + l*b = 0 for b.
0, 2/5, 1
Let j = 15 - 1. Let i = 17 - j. What is w in -3*w - 9 + 6*w + i*w**2 + 3*w = 0?
-3, 1
Let 11/5*x - 1/5*x**2 + 12/5 = 0. Calculate x.
-1, 12
Let o(g) = -g**3 - 4*g**2 + g + 1. Let j = 9 + -4. Let w(a) = 5 - 2*a**2 - j + a**2. Let m(s) = 2*o(s) - 6*w(s). Factor m(u).
-2*(u - 1)*(u + 1)**2
Let x = -28825 - -28827. Suppose -4/3*l - 2/21*l**x - 26/21 = 0. Calculate l.
-13, -1
Let g be 248/320 + 12/(-32). Determine a so that 0 + 0*a**2 + 