**5 - 5/28*v**8 - 29/42*v**7 + 0*v**4. Determine j, given that h(j) = 0.
-2, -2/3, 0, 1/4
Let z(j) = j**2 + 258*j - 3844. Suppose -5*w = -s + 24, 3*s + w = 16 - 8. Let d(m) = -256*m + 3844. Let y(g) = s*z(g) + 5*d(g). Factor y(k).
4*(k - 31)**2
Let i(y) be the first derivative of y**6/24 - 3*y**5/40 - 13*y**4/32 + 11*y**3/8 - 25*y**2/16 + 3*y/4 + 6676. Let i(u) = 0. What is u?
-3, 1/2, 1, 2
Suppose 4*g = -3*f + 352, -3*g - 2*f = -395 + 130. Find r such that -110*r**3 + 4*r**5 + 68*r**3 + 324*r + 80*r**4 + 720*r**2 + 423*r**3 + g*r**3 = 0.
-9, -1, 0
Suppose -14 = -5*s + 1. Suppose 4*c = 2*b + 12, 4*c - 3 = 3*b + 7. Let 13/2*x**b + 0 + 9/2*x**4 + x + 10*x**s = 0. What is x?
-1, -2/9, 0
Factor 83*o**2 + 0 - 3*o**4 - 164*o**2 - 27*o**3 + 2 - 81*o - 2.
-3*o*(o + 3)**3
Let d = 1530 + -1525. Let l(i) be the third derivative of -2/33*i**3 + 0*i - 6*i**2 - 1/33*i**4 + 0 - 1/132*i**d - 1/1320*i**6. Factor l(v).
-(v + 1)*(v + 2)**2/11
Let b be -13*(-28)/(-182)*(18 + -20). Let 30*s**2 + 37/2*s**3 + 0 + 1/2*s**5 + 5*s**b + 18*s = 0. Calculate s.
-3, -2, 0
Let p be 2686/(-153) + 17 + 5 + -2. Determine b so that -26/9*b**3 - 46/9*b**2 + 0 - 2/9*b**4 - p*b = 0.
-11, -1, 0
Factor 3/5*b**3 + 96/5*b**2 + 768/5*b + 0.
3*b*(b + 16)**2/5
Let r(i) be the first derivative of 2*i**3/15 - 1158*i**2/5 + 3996. Factor r(n).
2*n*(n - 1158)/5
Let v(w) be the first derivative of -w**3/24 + 21*w**2/16 - 49*w/4 + 6704. Let v(s) = 0. What is s?
7, 14
Let -31*l + 25*l**2 - 23*l + 123 - 28*l**2 - 174 = 0. Calculate l.
-17, -1
Let p = -1066299/100 - -10663. Let t(q) be the second derivative of 1/20*q**4 + 0*q**2 + 0 + p*q**5 + 1/15*q**3 - 35*q. What is d in t(d) = 0?
-2, -1, 0
Factor 0 + 8/5*a**2 - 8/5*a - 2/5*a**3.
-2*a*(a - 2)**2/5
Let b(o) be the third derivative of 0 + 0*o - 1/630*o**5 - 19/252*o**4 + 20/63*o**3 + 183*o**2. Solve b(j) = 0 for j.
-20, 1
Let k = -43450 - -217251/5. Solve -2/5 + 1/5*r**3 - k*r + 2/5*r**2 = 0.
-2, -1, 1
Let l(n) = 141*n**3 + 9*n**2 - 393*n - 261. Let g(p) = -p**4 - 2*p**3 - 2*p - 3. Let f(a) = 3*g(a) + l(a). Factor f(q).
-3*(q - 45)*(q - 2)*(q + 1)**2
Let b = -218 + 220. Let i(t) be the second derivative of 0*t**b - 1/270*t**6 - 5/108*t**4 - 1/27*t**3 - 1/45*t**5 + 0 - 14*t. Factor i(q).
-q*(q + 1)**2*(q + 2)/9
Let v(f) be the third derivative of 9*f**2 - 13/36*f**4 + 1/315*f**7 - 7/90*f**5 - 2/3*f**3 + 0 - 2*f + 1/180*f**6. Let v(i) = 0. Calculate i.
-2, -1, 3
Let m = 383 - 204. Suppose -a + 3*a - m = q, -15 = 3*q. Factor -46*b - 45*b**2 + 7 - a - 5*b**3 - 74*b.
-5*(b + 1)*(b + 4)**2
Let b = -949/5 - -190. Let m be (-1)/15*(1 - 8 - -4). Factor 2/5 + m*a - b*a**2.
-(a - 2)*(a + 1)/5
Let z(r) = 104*r**2 - 2*r**3 - 119*r + 30*r - 19 + 121 - 15*r. Let n be z(51). Let n - 2/7*j**2 + 2/7*j = 0. What is j?
0, 1
Solve -662116/3*g**3 - 4406828*g**2 + 582080/3*g - 6400/3 - 8281/3*g**4 = 0 for g.
-40, 2/91
Let o = -5529/7 + 790. Let p(f) be the third derivative of f**2 + 13/210*f**5 - 11/84*f**4 - 1/84*f**6 + o*f**3 + 0*f + 0. Suppose p(q) = 0. What is q?
3/5, 1
Factor 11936/3*z - 3256/9 - 10934*z**2 - 242/9*z**3.
-2*(z + 407)*(11*z - 2)**2/9
Let i be 4/2*(-13)/(-41 - 11). Let d(w) be the second derivative of 0*w**2 + 0 - 1/10*w**6 + i*w**4 - 3/20*w**5 - 10*w + 0*w**3. Factor d(g).
-3*g**2*(g - 1)*(g + 2)
Let a(u) be the first derivative of -2*u**5/15 + 71*u**4/18 - 350*u**3/27 + 149*u**2/9 - 28*u/3 + 2736. Find o, given that a(o) = 0.
2/3, 1, 21
Let g = -381 - -391. Let p be (-14 + (-384)/(-30))/((-4)/g). Factor -1/4*z**3 - 4*z - 7/4*z**2 - p.
-(z + 2)**2*(z + 3)/4
Suppose -25*d + 10 = -26*d. Let o be 1/2 - 155/d. Factor -24*m - 25*m**2 + 0*m**3 + 37*m**2 + o - 2*m**3.
-2*(m - 2)**3
Let l(a) be the first derivative of a**6/1260 + a**5/105 + a**4/21 - 32*a**3 - 112. Let v(y) be the third derivative of l(y). Factor v(o).
2*(o + 2)**2/7
Let v be ((-18)/45)/((-78)/65)*123. Let q(j) be the second derivative of -5/6*j**3 + 1/12*j**4 + 0 - 3*j**2 + v*j. Suppose q(l) = 0. What is l?
-1, 6
Let j(c) = -8*c**2 - 3890*c - 1897400. Let p(l) = -l**2 + l - 8. Let u(x) = j(x) - 6*p(x). Let u(k) = 0. What is k?
-974
Let r(n) = -n**2 - n - 1. Let v(j) = 3*j**2 - 12*j + 50. Let x(u) = 2*r(u) + v(u). Let h be x(8). Factor h + 1/4*d**4 + 3/4*d**2 + 1/4*d + 3/4*d**3.
d*(d + 1)**3/4
Suppose 4*z = -8, 5*h - 86 = 2*z + 8. Determine r so that -84*r - 4*r**2 + 18*r - 144 + 0*r**2 + h*r = 0.
-6
Let d(g) be the third derivative of 1/135*g**7 - 1/378*g**8 + 0*g + 1/27*g**3 + 43*g**2 + 0 + 1/54*g**4 - 4/135*g**5 + 1/270*g**6. What is j in d(j) = 0?
-1, -1/4, 1
Let r = 87191 + -612144/7. Let n = r + 259. Factor -11/7*d - 2/7 + n*d**2.
(d - 2)*(6*d + 1)/7
Let i(g) = -9*g**2 - 3. Let x be i(3). Let o = -71 - x. Suppose q**5 + 9*q**2 - q + 2*q**2 - o*q**2 + 2*q**4 = 0. Calculate q.
-1, 0, 1
Let f(m) be the third derivative of -6*m**2 + 1/36*m**6 + 0*m**3 + 0*m + 4/315*m**7 + 0*m**4 + 7 + 1/504*m**8 + 1/45*m**5. Factor f(u).
2*u**2*(u + 1)**2*(u + 2)/3
Suppose -2*z = -0*z + w - 59, 81 = 3*z + 4*w. Factor -600*m - 1875 - 44*m**2 - z*m**2 + 27*m**2.
-3*(4*m + 25)**2
What is r in -2/21*r**3 + 92/21*r**2 + 502/21*r + 136/7 = 0?
-4, -1, 51
Let j(p) = -p**3 + 3*p**2 + 5*p - 2. Let y be j(4). Let f = 159 - 157. Suppose -7 + f*x**3 + y*x**2 - 6*x**2 + 7 = 0. Calculate x.
0, 2
Let g(k) = 9*k**3 - 51*k**2 - 184*k - 192. Let l(z) = -2*z**3 + 2*z**2 + 1. Let m(s) = g(s) + 4*l(s). Find a, given that m(a) = 0.
-2, 47
Let s(i) be the third derivative of i**6/80 - 281*i**5/360 + 517*i**4/72 - 6*i**3 + 2014*i**2. Suppose s(r) = 0. What is r?
2/9, 4, 27
Factor -45*p + 702/5 - 3/5*p**2.
-3*(p - 3)*(p + 78)/5
Let j be ((-22)/6 - -4)*(-48)/(-2). Let q = j - 0. Factor q*h**2 + 16*h + 0*h + 3*h**4 + h**4 + 0*h**4 - 12 - 16*h**3.
4*(h - 3)*(h - 1)**2*(h + 1)
Factor 5*r**5 - 22*r**2 + 18*r**3 + 47*r**3 - 38*r**4 - 126*r**3 + 4*r**2.
r**2*(r - 9)*(r + 1)*(5*r + 2)
Let v = 587 + -368. Let f be ((-30)/50)/(-1 - v/(-225)). Find i such that -5*i**2 + 10*i**4 - 5 - f*i**3 + 45/2*i = 0.
-1, 1/4, 1, 2
Let g(i) be the third derivative of -i**6/660 + 9*i**5/110 - 38*i**4/33 + 80*i**3/11 + 2*i**2 + 109*i - 15. Factor g(z).
-2*(z - 20)*(z - 4)*(z - 3)/11
Let w be (-6)/(20/40 - (-7 - 273/(-28))). Determine g, given that 0 - w*g**2 - 1/3*g**3 + 0*g = 0.
-8, 0
Let s(b) = -4*b**3 + 702*b**2 + 7418*b + 18800. Let a(q) = 5*q**2 + q. Let r(u) = -2*a(u) - s(u). Factor r(i).
4*(i - 188)*(i + 5)**2
Factor 10941842/9 + 9356/9*q + 2/9*q**2.
2*(q + 2339)**2/9
Suppose 3*m = 6, 5*c - 2*m - 2572 = c. Let f be -5*(6 - c/105). Determine u, given that -2/3*u**2 + 0*u + f = 0.
-1, 1
Let k(x) be the second derivative of x**4/12 + 71*x**3/6 + 35*x**2 + 1662*x - 2. Solve k(v) = 0.
-70, -1
Let -1041124/3*n**3 - 2885/6*n**4 + 0*n - 1039682/3*n**2 - 1/6*n**5 + 0 = 0. What is n?
-1442, -1, 0
Let 5/2*x**2 - 1495*x + 447005/2 = 0. What is x?
299
Let x = -12 - -15. Let v(a) = -a**2 + 7*a + 2. Let m be v(x). Factor -44*t**2 - 175*t + 19*t**2 - 111 - 30*t**2 - m - 5*t**3.
-5*(t + 1)*(t + 5)**2
Factor -u**2 - 4*u**3 + 116*u + 1643 - 536 - 452 - 535 - 7*u**2.
-4*(u - 5)*(u + 1)*(u + 6)
Let u(f) be the third derivative of -f**5/75 + 593*f**4/30 + 396*f**3/5 - 9*f**2 - 36. Factor u(q).
-4*(q - 594)*(q + 1)/5
Let a = -234 + 232. Let k be (45/(-12))/(-5 - a) - 1. Find n such that k*n**4 + 1/4*n**2 + 0 + 0*n + 1/2*n**3 = 0.
-1, 0
Factor -641 + 63*r + 67*r + 177 + 343*r + 452*r**2 - 8*r**3 + 231*r.
-4*(r - 58)*(r + 2)*(2*r - 1)
Let l = -10 - -12. Determine w, given that 18 + 0*w**2 - 2*w**l - 38*w + 2 + 20*w = 0.
-10, 1
Let j(l) be the third derivative of -l**5/270 + 37*l**4/27 + 149*l**3/27 - l**2 + 204*l - 5. Factor j(x).
-2*(x - 149)*(x + 1)/9
Suppose 69*j - 79*j - 20 = 0. Let v be (j + (-11)/(-5))/(15/30). Factor -v*t**2 - 4/5*t**3 + 2/5*t**4 + 0 + 4/5*t.
2*t*(t - 2)*(t - 1)*(t + 1)/5
Let l be (4 + -1 - 3)/((-1)/1). Suppose l*o + 243 = 3*o. Find h, given that 40 + 41 + o*h + 5*h**3 - 2*h**3 + 27*h**2 = 0.
-3
Let c = 219556/77 + -31164/11. Factor 0*x**3 - 60/7 - 72/7*x**2 + 4/7*x**4 + c*x.
4*(x - 3)*(x - 1)**2*(x + 5)/7
Let i(k) be the second derivative of -k**5/150 + 2*k**4/15 + 4*k**3/3 + 36*k**2 - 79*k. Let r(x) be the first derivative of i(x). Factor r(j).
-2*(j - 10)*(j + 2)/5
Suppose 35*l = 2112 + 58. Suppose -l*g**3 + 4*g**2 + 64*g**3 + 17*g**5 - 4*g**