*6/192 + 73*u**5/80 + 11*u**4/12 + 2331*u**2 + 2*u. Let m(w) = 0. What is w?
-2/5, 0, 88
Let n(i) = -69*i + 154. Let x be n(14). Let j = 814 + x. Find s such that 9/2*s**j - 3*s + 1/2 = 0.
1/3
Let x(a) = 85*a. Let t be x(1). Factor -9*i + 27*i + 86*i**2 - 4 + t*i**2 - 179*i**2.
-2*(i - 2)*(4*i - 1)
Suppose 3*h - h = 16. Let p be (-1440)/(-64)*h/6. Factor 4*i - i + p + 12*i - 3*i**2 - 6*i.
-3*(i - 5)*(i + 2)
Let x(s) = 42*s - 17. Let a be x(1). Factor -30*n**3 + 178*n + 5*n**5 - 715*n**2 - 18*n + a*n**4 + 555*n**2.
5*n*(n - 2)*(n - 1)*(n + 4)**2
Factor -8/9*d**2 - 2/9 + 10/9*d.
-2*(d - 1)*(4*d - 1)/9
Let k(n) be the second derivative of 5*n**4/12 - 45*n**3 + 2025*n**2/2 + 7*n + 52. Factor k(b).
5*(b - 45)*(b - 9)
Let h = -3338 - -3341. Let d(l) be the third derivative of 1/20*l**5 + 0*l + 0 - 2*l**h + l**4 + 13*l**2 + 3/70*l**7 - 1/5*l**6. Solve d(x) = 0 for x.
-1, 2/3, 1, 2
Let s(l) = -2*l + 2. Let r be s(-9). Factor r*y**3 + 96*y - 21*y**2 + 27*y**2 + 78*y**2 + 926 - 910.
4*(y + 2)**2*(5*y + 1)
Let a be (-1)/4*(-797016)/(-549945). Let w = 2/1515 - a. Factor -6/11*q + w + 2/11*q**2.
2*(q - 2)*(q - 1)/11
Let l be 118/24 - (-420)/(-120) - (-9)/(-12). Solve -4*n**4 + 0 - 16/3*n**3 - l*n**5 + 4*n**2 + 6*n = 0 for n.
-3, -1, 0, 1
Let l(x) be the first derivative of -14*x**5/65 + 135*x**4/26 - 256*x**3/39 + 4762. Factor l(k).
-2*k**2*(k - 1)*(7*k - 128)/13
Find d such that -118*d - 17*d**5 + 18*d**5 - d**4 - 479*d**2 + 28956*d**3 - 29199*d**3 - 120*d = 0.
-14, -1, 0, 17
Factor 4*g**2 + 1110 - 228*g + 1038 - 2620.
4*(g - 59)*(g + 2)
Let c be (48/(-216))/((-6)/54). Let k(s) be the first derivative of 0*s + 7 + s**c + 2/9*s**3. Factor k(m).
2*m*(m + 3)/3
Suppose 9*g + 0*g = 477. Suppose g*o - 58*o = -15. Factor -2/3*w**2 + 2/3*w**o - 10/3*w - 2.
2*(w - 3)*(w + 1)**2/3
Let j = -39187 + 39190. Factor 4/7*g**4 + 0 + 16/7*g - 16/7*g**j - 4/7*g**2.
4*g*(g - 4)*(g - 1)*(g + 1)/7
Find c, given that -124 + 313*c - 317*c + 255*c**2 - 131*c**2 + 4*c**3 = 0.
-31, -1, 1
Let l(q) be the first derivative of -227 - 344/9*q + 176/9*q**2 - 94/27*q**3 + 1/18*q**4. Suppose l(k) = 0. Calculate k.
2, 43
Let d be -3 + 0 + (9 - 3 - -30). Suppose -3*x + d = 3. Find w such that x*w**2 + 2 + 2*w**4 - 7*w**2 - 7*w**2 = 0.
-1, 1
Let v(h) be the third derivative of -h**5/135 - 149*h**4/54 - 479*h**2. Factor v(r).
-4*r*(r + 149)/9
Let z(o) = o**3 - 2*o**2 + 2*o - 57. Let x be z(6). Let u be (-6 - (-448)/77) + 62/x. Factor -1/9*w**3 - 8/9*w + 5/9*w**2 + u.
-(w - 2)**2*(w - 1)/9
Let w(r) be the second derivative of -r**7/21 - 5*r**6/3 - 10*r**5 - 1879*r. Factor w(k).
-2*k**3*(k + 5)*(k + 20)
Let a(s) be the second derivative of s**4/12 - 20*s**3/3 + 200*s**2 + 1392*s. Factor a(w).
(w - 20)**2
Let h be (-2 + -1)*2/(-8). Let c be 9/12*(72 + 14144/(-156)) - (-15 - 1). Solve h*p + 3/2 - 3/4*p**c = 0 for p.
-1, 2
Suppose w + 2*i = 2, -3*w = -i - 4 - 2. Suppose 0 = -0*x + w*x - 18. Factor 3*q - 3*q**2 + 0*q + x*q**2 - 5*q.
2*q*(3*q - 1)
Let d(j) be the third derivative of -j**8/1848 + 89*j**7/231 - 4144*j**6/55 + 8214*j**5/55 + 5*j**2 - 211*j. Let d(h) = 0. Calculate h.
0, 1, 222
Let c be ((-8)/6)/(897/(-1794)). Solve c*m**2 + 0*m**4 - 6*m**3 + 8*m + 2/3*m**5 + 0 = 0 for m.
-3, -1, 0, 2
Let 0 - 108*s**3 - 1/2*s**5 + 39*s**4 - 375/2*s - 335*s**2 = 0. What is s?
-1, 0, 5, 75
Let v(i) = -285*i**2 + 2*i - 59. Let x(q) = -26*q**2 + q + 1. Let b(r) = -2*v(r) + 22*x(r). Factor b(p).
-2*(p - 14)*(p + 5)
Let a(t) be the second derivative of -8/27*t**3 - 4/9*t**2 + 0 + 51*t + 19/54*t**4 - 7/90*t**5. Factor a(o).
-2*(o - 2)*(o - 1)*(7*o + 2)/9
Let n(g) be the second derivative of 0 - 1/60*g**5 - 120*g - 1/12*g**4 + 2*g**2 + 2/9*g**3. Factor n(f).
-(f - 2)*(f + 2)*(f + 3)/3
Let d = 350 - 310. Let r be (216/d + -5)/(9/5). What is f in -8/9*f + 8/9 - r*f**2 + 2/9*f**3 = 0?
-2, 1, 2
Suppose 9*p = 52 + 11. Suppose -1515*r + 1032*r - 16*r**3 + p*r**3 - 132 - 261*r**2 + 867*r - 18*r**3 = 0. Calculate r.
-11, 2/3
Factor 36000/11 + 2/11*k**3 + 8400/11*k + 250/11*k**2.
2*(k + 5)*(k + 60)**2/11
Determine r so that -178*r - 127 + r**3 + 46*r - 42*r**2 + 3*r**3 - 7*r**3 + 7 = 0.
-10, -2
Let r(k) = 5*k**3 + 8*k**2 - 30*k + 19. Let u be r(1). Find l, given that 0 + l - 1/2*l**u + 1/2*l**4 - 3/2*l**3 + 1/2*l**5 = 0.
-2, -1, 0, 1
Let h be (8/(-24))/(-6*(-9)/(-648)). Let x(i) be the second derivative of 7/6*i**3 + 0*i**2 + 0 + 1/12*i**h + 18*i. Factor x(u).
u*(u + 7)
Let k(n) be the third derivative of -1/40*n**5 + 3/80*n**6 + 4*n**2 - 1/70*n**7 + 0*n**4 + 0 + 0*n + 0*n**3. Factor k(p).
-3*p**2*(p - 1)*(2*p - 1)/2
Let 25/4*w - 13/4 - 11/4*w**2 - 1/4*w**3 = 0. Calculate w.
-13, 1
Let t(s) be the third derivative of 0*s + 8/3*s**4 + 0 - 512/3*s**3 - 122*s**2 - 1/60*s**5. Suppose t(r) = 0. Calculate r.
32
Let -4808/19*w**2 + 162/19*w**5 - 1468/19*w**3 - 1840/19*w + 1854/19*w**4 - 192/19 = 0. What is w?
-12, -1, -2/9, 2
Let f(o) be the second derivative of 0 + 0*o**2 - 4/33*o**3 + 1/165*o**6 + 1/110*o**5 + 30*o - 2/33*o**4. Determine j, given that f(j) = 0.
-2, -1, 0, 2
Factor -213/7*b - 3/7*b**2 - 1830/7.
-3*(b + 10)*(b + 61)/7
Let b be (-86)/(-817) + ((-8)/190)/((-138)/966). Let z = -44/5 + 10. Suppose -4/5 + z*y - b*y**2 = 0. What is y?
1, 2
Let c(a) be the first derivative of 968*a + 29 - 44*a**2 + 2/3*a**3. Factor c(f).
2*(f - 22)**2
Let i(w) be the third derivative of -15/2*w**6 + 226*w**2 + 0 - 50*w**5 + 0*w**3 - 1/112*w**8 + 0*w - 3/7*w**7 + 0*w**4. Factor i(g).
-3*g**2*(g + 10)**3
Let g(s) = -16*s**2 - 80*s + 330. Let r(p) = -3*p**2 - 15*p + 66. Let t(u) = -2*g(u) + 11*r(u). What is q in t(q) = 0?
-11, 6
Let s(k) be the first derivative of k**4/6 + 30*k**3 + 173*k**2 - 1310*k/3 - 6442. Factor s(w).
2*(w - 1)*(w + 5)*(w + 131)/3
Suppose -4*o - 96 = -2*h, 0*h + 5*h = 0. Let c be (-232)/o + -7 + (-4)/6. Solve -2/7*s**4 + 2*s + 10/7*s**3 - 4/7 - 18/7*s**c = 0 for s.
1, 2
Let k be (-232)/638 + (-12)/(-33). Factor -8/11*r**2 - 1/11*r**3 + k + 0*r.
-r**2*(r + 8)/11
Let p(w) be the second derivative of -1/25*w**5 + 4/3*w**3 - 21*w + 4/5*w**2 - 7/75*w**6 + 0 + 7/10*w**4. Determine v so that p(v) = 0.
-1, -2/7, 2
Let z(y) = y**3 + 7*y**2 - 2*y. Let r be z(-7). Suppose -r*w + 156 = -8*w. Determine m, given that -2 - m**3 + 10*m - w*m - 4*m**2 + 11*m = 0.
-2, -1
Determine s, given that 37/4*s + 1/4*s**2 + 0 = 0.
-37, 0
Let u(g) be the third derivative of -5*g**3 + 0*g - 11/24*g**4 - 1/60*g**5 + 34 - g**2. Let u(x) = 0. Calculate x.
-6, -5
Suppose s = 2*y + 3*s + 12, -4*s = 5*y + 29. Let v be (8/(-10))/(1/y). Factor -8*o**5 + 5*o**3 + 5*o**2 - 5*o**4 - v*o**5 + 7*o**5.
-5*o**2*(o - 1)*(o + 1)**2
Let r be ((-10)/(-9))/5*(120/(-32) - -6). Let j(s) be the first derivative of 1/4*s**4 - r*s**2 + 1/5*s**5 + 0*s - 1/3*s**3 + 10. Find t such that j(t) = 0.
-1, 0, 1
Let -162/7 - 18/7*l**3 - 326/7*l**2 - 1494/7*l = 0. Calculate l.
-9, -1/9
Let j(l) be the second derivative of 5/12*l**4 + 0*l**3 + 187*l + 0*l**5 + 0*l**2 - 2/3*l**6 + 0. Let j(i) = 0. What is i?
-1/2, 0, 1/2
Let y(z) = -322*z**2 - 558*z - 243. Let h(a) = -25*a - 64. Let u be h(-3). Let n(t) = 1611*t**2 + 2789*t + 1214. Let j(q) = u*y(q) + 2*n(q). Factor j(x).
-5*(8*x + 7)**2
Let g be (16/(-6))/(8/(-48)). Let a be 276/322 - g/(-14). Find r such that 1/4 + 5/4*r + r**a = 0.
-1, -1/4
Let o be ((-8)/(-432))/((37 - 58)/(-252)). Let 4/9*a**2 + 2/3*a**3 + o*a**4 + 0*a + 0 = 0. What is a?
-2, -1, 0
Let j be (-52 + 57 + 48/(-9))/((-1)/5). Suppose 1/3*y**2 + 0 - j*y = 0. What is y?
0, 5
Let i(q) be the first derivative of -1/2*q**2 + 25 + 0*q - 1/25*q**5 - 3/20*q**4 + 3/5*q**3. Factor i(u).
-u*(u - 1)**2*(u + 5)/5
What is g in -48*g + 0 - g**3 - 1/2*g**5 - 56*g**2 + 13/2*g**4 = 0?
-2, -1, 0, 4, 12
Factor 0 + 1/2*r**2 + 2373/2*r.
r*(r + 2373)/2
Let y(a) be the second derivative of -a**6/1620 + a**5/540 + 10*a**3/3 - 2*a**2 - 98*a. Let r(s) be the second derivative of y(s). Factor r(w).
-2*w*(w - 1)/9
Let z(m) = -m**3 + 2*m**2 + 5*m - 2. Let f be z(3). Suppose -462*p**f + 8*p**2 - 4*p**3 + 460*p**4 + 8*p**2 = 0. What is p?
-4, 0, 2
Let i(u) = -3*u**2 - 72*u - 87. Let r(x) = -2*x**2 - 36*x - 44. Let p be (0 - 1)*6/6 + -4. Let y(f) = p*i(f) + 9*r(f). Factor y(q).
-3*(q - 13)*(q + 1)
Let b be 0/11*1/(-4). Suppose b = -4*s + 8*s - 8. Factor -7*t - s*t - 5*t**2 + 29*t - 22 + 7.
-5*