+ 0*g + 1/2*g**2 + 0 - 5/4*g**k = 0.
0, 2/3, 1
Let 181*m**4 - 183*m**4 + 0*m + 2*m - 2*m**2 + 0*m**2 - 4*m**2 + 6*m**3 = 0. What is m?
0, 1
Let s(p) be the third derivative of -p**5/12 + 145*p**4/2 - 25230*p**3 - 3*p**2 + 3. Determine y, given that s(y) = 0.
174
Let a = -249 + 4983/20. Let v(n) be the first derivative of 0*n - 3/8*n**4 + a*n**5 - 2 + 0*n**2 + 1/4*n**3. Suppose v(u) = 0. What is u?
0, 1
Let c(t) be the first derivative of -27*t**4/8 - t**3 + 27*t**2/4 + 3*t + 13. Factor c(l).
-3*(l - 1)*(l + 1)*(9*l + 2)/2
Let h(z) = -2*z. Let g(y) = y**2 + y + 6. Let j(u) = -g(u) - 3*h(u). Let j(d) = 0. Calculate d.
2, 3
Let v(s) be the third derivative of -s**8/2520 - s**7/840 + s**6/360 + s**5/180 - 5*s**3/3 - 22*s**2. Let o(k) be the first derivative of v(k). Factor o(h).
-h*(h - 1)*(h + 2)*(2*h + 1)/3
Let h(f) be the second derivative of 5*f**4/12 - 20*f**3/3 - 11*f. Factor h(l).
5*l*(l - 8)
Let l(c) = -c**5 - c**4 + c**3 - c + 1. Let y(q) = -8*q**5 - 2*q**4 + 18*q**3 - 4*q**2 - 20*q + 6. Let t(w) = 20*l(w) - 2*y(w). Factor t(f).
-4*(f - 1)*(f + 1)**3*(f + 2)
Let a(t) be the first derivative of t**5/35 + 5*t**4/14 + 25*t**3/21 - 180. Factor a(s).
s**2*(s + 5)**2/7
Let c be (5 - 3)*1 - 8. Let z be -2 + 3/(c/(-10)). Determine s so that 0 + 4*s**2 - 5/2*s**z - 2*s + 1/2*s**4 = 0.
0, 1, 2
Let s be (4/8*2)/((-2)/(-4)). Factor -h**2 + 3*h - 18 - 2*h**s + 12*h.
-3*(h - 3)*(h - 2)
Suppose 3*m = 3*v - 24, -5*m - 7 = 3*v + 9. Suppose -2*x = -2*d + d - 2, -v*x + 4 = -d. Factor 24*c**d + 12*c - 4*c - 28*c**2.
-4*c*(c - 2)
Let q(n) be the first derivative of 2*n**3/3 - 16*n**2 + 128*n + 53. Factor q(p).
2*(p - 8)**2
Let i(v) be the third derivative of -v**5/20 + 5*v**4 - 175*v**3/2 + 4*v**2 - 3. Factor i(k).
-3*(k - 35)*(k - 5)
Let o(y) = 37*y**2 - 11*y - 41. Let b(x) = -13*x**2 + 4*x + 14. Let r(a) = 17*b(a) + 6*o(a). Factor r(v).
(v - 2)*(v + 4)
Let v(k) be the first derivative of 3*k**4/32 - 5*k**3/8 + 3*k**2/2 - 3*k/2 + 64. Factor v(w).
3*(w - 2)**2*(w - 1)/8
Let v(g) be the second derivative of -g**6/15 + 8*g**5/5 - 23*g**4/3 - 48*g**3 - 81*g**2 - 90*g. Determine u, given that v(u) = 0.
-1, 9
Let k(b) be the first derivative of -12*b**2 + 3*b**5 + 12*b**3 - 23 + 0*b + 27/2*b**4. Factor k(v).
3*v*(v + 2)**2*(5*v - 2)
Let f(c) be the first derivative of 13*c**5/20 + 15*c**4/16 - 11*c**3/12 - 15*c**2/8 - c/2 + 10. What is z in f(z) = 0?
-1, -2/13, 1
Let u = 22721/160 - 142. Let i(a) be the third derivative of 1/12*a**3 - 1/32*a**4 + 0*a + u*a**6 - 1/840*a**7 + 0 - 1/240*a**5 + 5*a**2. What is n in i(n) = 0?
-1, 1, 2
Suppose 4*r + 5*p - 10 = -23, -3*r = -p - 14. Let d(b) be the first derivative of 1/14*b**4 + 2/35*b**5 + 3/7*b**2 + 5 - 10/21*b**r + 0*b. Factor d(y).
2*y*(y - 1)**2*(y + 3)/7
Let j(g) = -7*g**4 - 15*g**3 + 15*g**2 + 54*g + 31. Let w(k) = 2*k**4 + k - 1. Let a(f) = j(f) + w(f). Factor a(s).
-5*(s - 2)*(s + 1)**2*(s + 3)
Let h(m) = -m**3 + 5*m**2 - 6*m + 7. Let o be h(3). Factor -o*b**4 - 3*b**3 - b**3 + b**3 + 10*b**4.
3*b**3*(b - 1)
Let c(w) = 2*w**4 - 2*w**3 - 10*w**2 + 2*w + 2. Let d(t) = -3*t**4 + 3*t**3 + 23*t**2 - 3*t - 5. Let n(b) = -5*c(b) - 2*d(b). Find q such that n(q) = 0.
-1, 0, 1
Let y(s) be the second derivative of -1/70*s**7 + 1/10*s**4 - 1/50*s**6 - 3/10*s**2 + 3/50*s**5 + 0 - 1/10*s**3 + 6*s. Factor y(m).
-3*(m - 1)**2*(m + 1)**3/5
Let w = -993 + 993. Let x(j) be the first derivative of 2/3*j**2 + w*j + 23/12*j**4 - 7/15*j**5 + 6 - 20/9*j**3. Factor x(a).
-a*(a - 2)*(a - 1)*(7*a - 2)/3
Let c(n) be the second derivative of n**6/1620 - n**4/108 - 8*n**3/3 + 11*n. Let i(x) be the second derivative of c(x). Factor i(f).
2*(f - 1)*(f + 1)/9
Let z = -88 + 93. Let a(j) = j**3 + 48*j**2 + 121*j + 103. Let g(c) = -24*c**2 - 60*c - 51. Let r(t) = z*g(t) + 3*a(t). Factor r(k).
3*(k + 2)*(k + 3)**2
Let u = -38021/4 - -9506. Determine o, given that -u*o - 3/2 + 3/4*o**2 = 0.
-1, 2
What is h in -2/21*h**4 + 2/21*h**5 - 8/21*h**2 + 32/21*h + 0 - 8/7*h**3 = 0?
-2, 0, 1, 4
Let o(a) be the second derivative of a**6/1080 + a**5/180 + 7*a**3/6 + 45*a. Let q(h) be the second derivative of o(h). Determine m so that q(m) = 0.
-2, 0
Let g(x) = -x - 3. Let f be g(-6). Suppose -29 + 57 = 14*i. Factor -1/2*d + 1/2*d**f - 1/2*d**i + 1/2.
(d - 1)**2*(d + 1)/2
Let l(o) = 3*o**2 - 1. Let f be l(-1). Suppose -f*w = 2*w - 12, 3*w + 77 = 2*h. Find g such that -7*g**2 - 12*g**4 - 16 - 8*g**2 + h*g**2 - 4*g**3 + 4*g**5 = 0.
-1, 1, 2
Determine i, given that 33/2 - 101/4*i + 3/4*i**2 = 0.
2/3, 33
Let j(n) be the first derivative of 7/30*n**5 + 11/9*n**3 + 1/2*n + 13/12*n**2 + 1/36*n**6 + 3/4*n**4 + 2. Factor j(k).
(k + 1)**4*(k + 3)/6
Let a(h) be the third derivative of h**7/105 + h**6/10 - 7*h**5/30 + 130*h**2. Factor a(b).
2*b**2*(b - 1)*(b + 7)
Factor 3*s**3 + 16 - 40*s**3 - 340*s - 79 - 57 + 2*s**3 + 270*s**2.
-5*(s - 6)*(s - 2)*(7*s + 2)
What is a in -224*a**2 - 605*a**3 - 106*a**2 - 19*a - 26*a = 0?
-3/11, 0
Let g = -37 - -47. Suppose -s = -g*s. Factor s + 3/4*j**4 - 3/2*j**3 - 3*j - 21/4*j**2.
3*j*(j - 4)*(j + 1)**2/4
Suppose 4*v + 76 = -68. Let p be v/(-48) - 17/(-4). Factor -x**3 + x**p - 2*x**3 - x**3 + 3*x**5.
4*x**3*(x - 1)*(x + 1)
Let a(n) be the second derivative of 5*n**4/12 - 115*n**3/3 - 240*n**2 + 2*n + 40. Find l such that a(l) = 0.
-2, 48
Let m(n) be the first derivative of n**3 - 9*n**2 + 11. Suppose m(f) = 0. Calculate f.
0, 6
Let a(c) be the second derivative of 3*c**5/10 - 5*c**4/3 + 3*c**3 - 2*c**2 - 216*c. Solve a(t) = 0 for t.
1/3, 1, 2
Let c(a) be the first derivative of a**4/2 + 25*a**3/3 - 13*a**2/2 - 348. What is u in c(u) = 0?
-13, 0, 1/2
Suppose 4*l = 3*k + 5, -2*k = l + 3 - 7. Factor 4 - 3*f + 0*f - 3*f + 0*f + l*f**2.
2*(f - 2)*(f - 1)
Let d(g) = 77*g**4 + 33*g**3 - 90*g**2 - 33*g. Let j(w) = -39*w**4 - 16*w**3 + 45*w**2 + 16*w. Let k(y) = -6*d(y) - 13*j(y). Find l such that k(l) = 0.
-1, -2/9, 0, 1
Let n(a) be the third derivative of 0*a**3 + 0*a - 2/105*a**7 + 11*a**2 - 13/150*a**6 - 4/75*a**5 + 0 + 2/15*a**4. Suppose n(o) = 0. What is o?
-2, -1, 0, 2/5
Let p(d) = -d**2 - 5*d - 3. Let q be p(-3). Suppose 2*v**3 - 8*v**2 + 2*v**3 - v**q + v**3 = 0. What is v?
0, 2
Let o be 7 - 21/(-2 - (-1 + -4)). Find x, given that -1/11*x**3 + 0*x**2 + 4/11*x + o = 0.
-2, 0, 2
Let l(m) be the first derivative of -3/4*m**4 - 3/4*m**2 - 4/3*m**3 + 0*m**5 + 0*m + 1/12*m**6 + 35. Factor l(f).
f*(f - 3)*(f + 1)**3/2
Let t(p) be the third derivative of p**5/120 - 4*p**4 + 768*p**3 - 54*p**2 + 3. Let t(h) = 0. Calculate h.
96
Let u(q) be the third derivative of -q**5/270 - q**4/18 - 191*q**2. Find t such that u(t) = 0.
-6, 0
Suppose -2*g + 16 = 4*w - 0, -4*g = -4*w - 32. Find z, given that -12*z**4 + 8*z**2 + 6*z**3 + 3*z**5 + 6*z**3 - g*z**2 = 0.
0, 2
Let w(d) be the third derivative of -d**8/588 - 8*d**7/245 - 6*d**6/35 - 4*d**2. What is u in w(u) = 0?
-6, 0
Suppose -4*n - 300 = -312. Let s(m) be the second derivative of -18/5*m**5 + 0*m**2 - 20/3*m**4 - 3*m - 2/21*m**7 + 0 - 14/15*m**6 - 16/3*m**n. Factor s(q).
-4*q*(q + 1)*(q + 2)**3
Suppose 76*h = 17*h + 16 + 102. Determine a so that 0 - 2/11*a**4 - 6/11*a**h + 2/11*a + 6/11*a**3 = 0.
0, 1
Let d = 36 + -34. Factor -25*y**d - 49*y + 9*y + 169*y**5 + 355*y**3 + 1 - 5 - 455*y**4.
(y - 1)**3*(13*y + 2)**2
Let d = 446 - 891/2. Let i(f) be the first derivative of d*f + 7/8*f**2 - 1/3*f**3 - 3. Suppose i(k) = 0. What is k?
-1/4, 2
Let m(l) = -l**3 - 52*l**2 - 131*l + 157. Let k(z) = 3*z**3 + 110*z**2 + 263*z - 313. Let o(p) = 6*k(p) + 14*m(p). Determine v so that o(v) = 0.
-4, 1, 20
Let b = -11 - -12. Let -2*q - 5*q - 3*q**2 - b + 7 = 0. What is q?
-3, 2/3
Let q(w) be the first derivative of 2/3*w**6 + 8/3*w**3 + 15 - 12/5*w**5 + 2*w**4 - 6*w**2 + 4*w. Determine h, given that q(h) = 0.
-1, 1
Let y be 14/15 + 28/(-245)*105/90. Solve y*a**2 - 24/5 - 4*a = 0.
-1, 6
Let w(u) be the second derivative of u**4/15 - 5*u**3 - 117*u**2/5 - 269*u. Suppose w(q) = 0. Calculate q.
-3/2, 39
Let w = 31/48 + 5/48. Factor -3/4*z**5 + 9/4*z**3 + 3/2*z + w*z**4 + 0 - 15/4*z**2.
-3*z*(z - 1)**3*(z + 2)/4
Suppose -91 = -b + f - 93, 3*f = -5*b + 6. Factor 9/5 + b*r - 1/5*r**2.
-(r - 3)*(r + 3)/5
Solve 3*b**5 - 6*b**5 + 3*b**3 + 6*b**4 + 0*b**3 - 2 + 2 - 6*b**2 = 0.
-1, 0, 1, 2
Let p(b) be the third derivative of -