2)/6069*51. Suppose -64/11 - 8/11*c**2 - w*c + 2/11*c**3 = 0. What is c?
-2, 8
Let p(j) = 19*j - 110. Let f be p(6). Factor 5*x**3 - 3*x**2 + 5*x**f - x + 0*x + 2 - 1 - 7*x**4.
-(x - 1)**3*(2*x + 1)
Let s be (15 + -12)/(2/(-5) + 35/25). Let t(d) be the first derivative of 6/5*d + 0*d**s - 9/10*d**2 + 3/20*d**4 - 16. Factor t(n).
3*(n - 1)**2*(n + 2)/5
Factor 356/3 - 1778/3*l - 10/3*l**2.
-2*(l + 178)*(5*l - 1)/3
Let i be (-5)/(-3 + (21/14)/3*4). Let s(d) be the second derivative of 0 - 4/5*d**2 + 0*d**4 + 1/25*d**i - 2/5*d**3 - 5*d. Solve s(v) = 0 for v.
-1, 2
Let s = 9735 - 9730. Let r(p) be the second derivative of 0 + 2/51*p**4 + 0*p**2 + 1/51*p**3 + 3/170*p**s - 16*p. Factor r(l).
2*l*(l + 1)*(3*l + 1)/17
Let z(k) be the first derivative of -k**5 + 155*k**4/2 - 4465*k**3/3 - 5600*k**2 + 15360*k + 375. Suppose z(q) = 0. What is q?
-3, 1, 32
Let x = -89 + 94. Suppose x*j + 1 = -5*t + 16, 9 = 4*t + j. Suppose 4/11*q**3 - 8/11*q - 6/11 + 2/11*q**t = 0. What is q?
-1, 3/2
Let s(q) be the third derivative of -2/3*q**3 + 0*q - 1/3*q**4 - 1/20*q**5 + 1/60*q**6 - 17*q**2 + 1/210*q**7 + 0. Solve s(h) = 0.
-2, -1, 2
Let w(i) be the third derivative of 0*i**4 - 138*i**2 + 9/40*i**6 + 0*i**5 - 1/112*i**8 + 0 + 4/35*i**7 + 0*i + 0*i**3. Find h such that w(h) = 0.
-1, 0, 9
Suppose -15*p + i + 43 = 0, 161*i - 162*i = 5*p - 37. Solve 0 - 442/7*u**2 - 2/7*u**p - 8*u**3 - 676/7*u = 0.
-13, -2, 0
Let m = -549 - 1993. Let x = m + 2546. Solve -62/7*w**3 + 32/7*w - 8/7*w**x - 16*w**2 + 0 = 0.
-4, 0, 1/4
Let q(g) be the second derivative of 9*g**5/70 - 19*g**4/21 + 7*g**3/3 - 20*g**2/7 + 326*g. Suppose q(f) = 0. What is f?
1, 20/9
Solve 6801664/9 - 10432/9*b + 4/9*b**2 = 0.
1304
Let m(v) be the second derivative of -1/20*v**5 + 21*v - 7/8*v**4 - 1/840*v**6 + 0 + 0*v**2 - 1/6*v**3. Let l(u) be the second derivative of m(u). Factor l(w).
-3*(w + 7)**2/7
Let r(p) = 4*p**2 - 12*p + 10. Let z be r(0). Let k(y) be the third derivative of 0 + 1/27*y**3 + 2/135*y**5 - z*y**2 - 5/108*y**4 + 0*y. Solve k(g) = 0.
1/4, 1
Let s(h) be the second derivative of -3*h**5/140 - 13*h**4/28 + 15*h**3/7 + 64*h - 8. Factor s(l).
-3*l*(l - 2)*(l + 15)/7
Find k, given that 132*k - 87/4*k**2 - 3/4*k**4 - 21/2*k**3 + 144 = 0.
-8, -1, 3
Determine u so that -9*u**3 + 5*u**4 + 39*u**3 - 75*u**2 - 369*u - 158*u + 27*u = 0.
-5, 0, 4
Suppose 13*v - 14*v = 3*i + 368, 15 = -3*v. Let l = 123 + i. Factor -5/3*y**l - 1 + 7/3*y + 1/3*y**3.
(y - 3)*(y - 1)**2/3
Factor 5*n + 39/4*n**2 + 3/4 + 11/2*n**3.
(n + 1)*(2*n + 1)*(11*n + 3)/4
Let q(h) be the third derivative of 0*h**3 + 0 + 1/63*h**7 + 12*h + 2/135*h**6 - 1/27*h**4 - 1/378*h**8 - 4*h**2 - 1/18*h**5. Let q(g) = 0. Calculate g.
-1, -1/4, 0, 1, 4
Solve 1/5*z**3 + 3681/5 + 83*z**2 + 2463/5*z = 0.
-409, -3
Let b(p) be the third derivative of 7*p**2 + 0*p - 17/48*p**4 - 12 + 1/240*p**5 - 35/24*p**3. Let b(d) = 0. What is d?
-1, 35
Let r(b) = b**5 - 12*b**4 + 17*b**3 + 186*b**2 + 308*b + 156. Let v(d) = -d**5 + 2*d**4 - 7*d**2 + 2. Let x(n) = 3*r(n) + 6*v(n). Solve x(z) = 0.
-8, -2, -1, 5
Find v, given that 17*v**5 + 7*v**5 + 53*v**4 + 204*v**2 - 12*v**5 - 170*v**3 - 17*v**5 - 72*v = 0.
0, 3/5, 2, 6
Let f = 48 + -198. Let n be f/(-60) + (-43)/(-26). Factor 1458/13 + n*a**2 + 486/13*a + 2/13*a**3.
2*(a + 9)**3/13
Let i(p) be the third derivative of -p**6/960 + 131*p**5/160 - 198*p**4 - 9801*p**3/4 - 1481*p**2. What is m in i(m) = 0?
-3, 198
Suppose -230*i + 32 + 201 + 227 = 0. Factor 1/5*o**i + 324/5 - 36/5*o.
(o - 18)**2/5
Factor 0 + 0*c**2 - 2/3*c**3 - 2/3*c**5 - 4/3*c**4 + 0*c.
-2*c**3*(c + 1)**2/3
Let -20550782 - 840*r + 20550782 + 4*r**2 = 0. Calculate r.
0, 210
Let -7/4 + 17/4*k**2 - 5/2*k = 0. What is k?
-7/17, 1
Let a(u) be the second derivative of u**6/6 - 17*u**5 + 665*u**4/12 - 55*u**3 + 2*u - 253. Factor a(x).
5*x*(x - 66)*(x - 1)**2
Find p such that 29/2*p**4 - 3/2*p**5 + 30*p - 57/2*p**3 - 1/2*p**2 - 14 = 0.
-1, 2/3, 1, 2, 7
Let k = 3894/29 - 19238/145. Suppose -4/5*i**4 - k + 12/5*i**2 + 4/5*i - 4/5*i**3 = 0. Calculate i.
-2, -1, 1
Let r be (-1)/(9/3 + -4). Let p(y) = -y**3 + y**2 + y - 1. Let b(s) = 5*s**3 + 4*s**2 - 47*s - 106. Let m(u) = r*b(u) + 2*p(u). Factor m(f).
3*(f - 4)*(f + 3)**2
Let c(j) = -9*j**3 - 49*j**2 + 18*j + 2. Let a(l) = 37*l**3 + 197*l**2 - 74*l - 9. Let b(p) = -2*a(p) - 9*c(p). Suppose b(v) = 0. Calculate v.
-7, 0, 2/7
Let m be (-15)/6*(-18)/(-15) + 5. Suppose 9*s - m*q = 4*s + 8, 3 = 4*s - 5*q. Find b, given that 7*b - b**s - 6*b + 0 + 0*b - b**3 + 1 = 0.
-1, 1
Let j(c) be the third derivative of -c**8/1344 + c**7/21 + 263*c**6/480 + 293*c**5/120 + 137*c**4/24 + 23*c**3/3 + 2*c**2 + 9*c. Let j(z) = 0. Calculate z.
-2, -1, 46
Let w(x) be the first derivative of -17*x**4/4 - 328*x**3 + 1119*x**2/2 - 118*x - 1380. Find k, given that w(k) = 0.
-59, 2/17, 1
Let d be 996/(-1494)*(0 + (-36)/16). Determine h, given that 0*h**2 + 0*h - d*h**3 - h**4 + 0 + 1/2*h**5 = 0.
-1, 0, 3
Suppose 3*a = 3*m - 9, -3*a - m - 19 = -30. Factor 12 + 16*g**4 - 21*g + 24*g - 17*g**2 - 55*g - 60*g**3 + 4*g**a + 97*g**2.
4*(g - 1)**3*(4*g - 3)
Let g be (-5716)/(-24) - 2/4*-1. Let c = 239 - g. Factor 1/3*v + 0 + c*v**3 - 2/3*v**2.
v*(v - 1)**2/3
Let p(l) be the second derivative of 11/90*l**5 + 0*l**2 + 5/3*l**3 - 6*l + 1/135*l**6 + 0 + 13/18*l**4. Factor p(q).
2*q*(q + 3)**2*(q + 5)/9
Let k(r) be the second derivative of -3*r**5/40 + 685*r**4/8 - 29412*r**3 + 87723*r**2 + 939*r. Let k(d) = 0. What is d?
1, 342
Suppose 71*a - 34*a - 74 = 0. Let u(g) be the first derivative of -3/4*g**4 + 0*g**a + 2*g**3 + 16 + 0*g. Factor u(w).
-3*w**2*(w - 2)
Suppose -580/3*g**3 + 15574/21*g**2 + 360/7 - 376*g - 14/3*g**4 = 0. What is g?
-45, 2/7, 3
Let g(q) = 15*q**2 + 39 + 26*q + 18*q**2 - 17 - 6*q + 55*q. Let i(c) = 2*c**2 - 1. Let z(n) = g(n) - 4*i(n). Let z(l) = 0. Calculate l.
-13/5, -2/5
Suppose -68*g = -24*g. Let x(m) be the first derivative of -7/12*m**3 + 12 + g*m**2 + m + 3/16*m**4. Determine z so that x(z) = 0.
-2/3, 1, 2
Let b(x) = x**3 - 3*x**2 + x. Let c(z) = 3*z**5 + z**4 - 47*z**3 + 81*z**2 + 5*z - 16. Let d(n) = 54*b(n) + 2*c(n). Suppose d(w) = 0. What is w?
-2, 2/3, 1, 2
Let w(a) be the second derivative of 1152*a**2 + 481/3*a**4 - 46/5*a**5 + 116*a + 2/15*a**6 + 736*a**3 + 0. Factor w(o).
4*(o - 24)**2*(o + 1)**2
Suppose -126 = -3*k + 4*g - 98, -k - g = 0. Factor 2/11*l**k + 0 + 0*l + 2/11*l**3 - 4/11*l**2.
2*l**2*(l - 1)*(l + 2)/11
Let 1/3*u**3 - 112*u + 0 + 166/3*u**2 = 0. Calculate u.
-168, 0, 2
Factor 2/13*y**3 + 64/13*y**2 + 368/13 + 430/13*y.
2*(y + 1)*(y + 8)*(y + 23)/13
Solve 0 + 44/3*l**2 + 4/3*l**3 + 112/3*l = 0.
-7, -4, 0
Factor 11/7*t**2 + 20/7*t + 0 + 1/7*t**4 - 8/7*t**3.
t*(t - 5)*(t - 4)*(t + 1)/7
What is x in 2/7*x**2 + 3495368/7 + 5288/7*x = 0?
-1322
Suppose -267*z = -269*z + 5*u + 40, 16 = -4*z - 2*u. Suppose 3*q + 1/4*q**4 + z - 1/4*q**3 - 2*q**2 = 0. Calculate q.
-3, 0, 2
Let h(t) be the second derivative of 88*t + 0*t**6 - 1/50*t**5 + 0 + 0*t**4 + 1/105*t**7 + 0*t**3 + 0*t**2. Solve h(y) = 0 for y.
-1, 0, 1
Let f = -1986 - -1979. Let c be (-6)/(-1) - f/(91/(-68)). Suppose 12/13 + 2/13*k**2 - c*k = 0. What is k?
2, 3
Let k(g) = 5*g**2 + 3*g + 2. Let m be k(-3). Suppose 4*z = 4*a + 20, 2*a - 7*a = 2*z - m. Let -13*w + 7*w + 7*w**2 - z*w - 2*w**2 = 0. What is w?
0, 3
Let q(k) be the third derivative of 3*k - 1/2*k**4 + 1/30*k**6 + 0 + 0*k**3 + 2/15*k**5 + 8*k**2. Let q(r) = 0. What is r?
-3, 0, 1
Let x(k) be the third derivative of k**8/840 - 11*k**7/525 - 19*k**6/300 + 83*k**5/150 + 3*k**4/10 - 24*k**3/5 - 776*k**2. Determine v, given that x(v) = 0.
-3, -1, 1, 2, 12
Let v(b) be the first derivative of b**6/270 - 19*b**5/360 - 5*b**4/72 - 68*b**3/3 - 121. Let j(i) be the third derivative of v(i). Let j(s) = 0. What is s?
-1/4, 5
Let s(b) = 45*b - 35. Let p be s(13). Let 170*f**3 + 178*f**4 + 227*f**4 + 320*f**2 + p*f**3 = 0. Calculate f.
-8/9, 0
Let g(h) be the second derivative of -h**4/6 + 715*h**3/3 - 1426*h**2 - 20*h - 174. Factor g(f).
-2*(f - 713)*(f - 2)
Suppose 474*h - 1009 + 128 - 67 = 0. Solve -26/5 + 3*k - 1/5*k**h = 0.
2, 13
Let z(x) be the third derivative of -x**8/840 + 53*x**7/525 - 5*x**6/4 + 671*x**5/150 + 10*x**4/3 - 60*x**3 + 2*x**2 - 493. What is h in z(h) = 0?
-1, 2, 5, 45
Let c be (54/(-540))/((1/