/9 - 491*z - 1. Determine c so that r(c) = 0.
-5, -2, -1, 1
Find x such that -1705*x**3 - 44004*x**2 - 1680 - 324*x**5 + 29167*x + 9876*x**4 + 960*x**4 + 20589*x**3 - 12879*x = 0.
-3, 2/9, 1, 35
Let s(x) be the first derivative of -16*x**6/33 + 48*x**5/5 + 141*x**4/2 - 1648*x**3/33 + 105*x**2/11 + 8255. Solve s(k) = 0 for k.
-5, 0, 1/4, 21
Let a(v) = -5*v**3 - v**2. Let m(i) = -4*i**2 + 43*i + 5. Let r be m(11). Let h(b) = -b**3 - b**2 - b. Let t(y) = r*h(y) + a(y). Solve t(f) = 0.
-3, -2, 0
Let j be (-6)/(-8) + (-70)/40. Let f be j/(-3) - (-20)/12. Factor -2 + 302*c - 2*c**4 - 2*c**f - 302*c + 6*c**2.
-2*(c - 1)**2*(c + 1)**2
Let f(i) be the first derivative of -112*i**3/3 + 118*i**2 - 24*i + 26. Find o such that f(o) = 0.
3/28, 2
Let d(t) be the second derivative of 34/3*t**3 + 15*t + 2/15*t**6 + 17/3*t**4 + 0 + 7/5*t**5 + 12*t**2. Solve d(j) = 0 for j.
-3, -2, -1
Let i(x) be the third derivative of x**9/1008 + x**8/280 - x**7/35 + 55*x**3/2 + x**2 + 20*x. Let p(c) be the first derivative of i(c). Factor p(k).
3*k**3*(k - 2)*(k + 4)
Suppose 5*m**2 + 44/3 + 1/3*m**3 + 16*m = 0. Calculate m.
-11, -2
Let y(o) = 55*o**4 - 2585*o**3 - 5137*o**2 - 2569*o + 9. Let h(m) = 12*m**4 - 646*m**3 - 1284*m**2 - 642*m + 2. Let i(v) = 18*h(v) - 4*y(v). Factor i(t).
-4*t*(t + 1)**2*(t + 320)
Let h(v) be the third derivative of -v**7/168 + 11*v**6/96 + 35*v**5/16 - 1375*v**4/96 - 1250*v**3/3 + 9*v**2 - 582*v. Find u such that h(u) = 0.
-5, 5, 16
Let r(c) be the first derivative of -c**6/30 - c**5/20 + c**4/12 + c**3/6 - 48*c - 86. Let i(g) be the first derivative of r(g). Factor i(a).
-a*(a - 1)*(a + 1)**2
Let o(k) be the first derivative of -2*k**3/3 + 253*k**2 - 1004*k - 3531. Let o(j) = 0. What is j?
2, 251
Let d be ((-2860)/(-195) + 48)/((1 + 2)/30). Factor -115*c**3 + 1536 - 1/3*c**5 + 10*c**4 - 1600*c + d*c**2.
-(c - 8)**3*(c - 3)**2/3
Let n(j) be the first derivative of -1/15*j**3 - 4/5*j - 1/2*j**2 + 66. What is p in n(p) = 0?
-4, -1
Let n(t) be the first derivative of 2*t**3/27 + 7*t**2/3 + 208*t/9 - 3479. Factor n(k).
2*(k + 8)*(k + 13)/9
Let d(g) = 2*g**3 - 8*g**2 + 36*g + 8. Let h = -50 - -45. Let i(v) = 2*v**3 - 6*v**2 + 37*v + 10. Let t(q) = h*d(q) + 4*i(q). Let t(a) = 0. Calculate a.
0, 4
Let q(z) be the third derivative of z**6/360 - z**5/60 - z**4/3 - 28*z**3/3 + 96*z**2. Let h(x) be the first derivative of q(x). Factor h(w).
(w - 4)*(w + 2)
Let n = 334 - 332. Let s(q) be the first derivative of -15 + 5/14*q**4 + 1/7*q**5 + 5/14*q**n + 10/21*q**3 + 1/42*q**6 + 1/7*q. Factor s(j).
(j + 1)**5/7
Let v(s) = 12*s + 242. Let b = -735 - -715. Let y be v(b). Factor 36/7*h**y - 44/7*h + 16/7 - 4/7*h**4 - 4/7*h**3.
-4*(h - 1)**3*(h + 4)/7
Suppose -4*y + 16 = b, -16*b - 48 = -19*b - 3*y. Let s(i) be the third derivative of 1/180*i**6 + 0*i**5 + 0*i + 0 + 0*i**4 + 0*i**3 - b*i**2. Factor s(t).
2*t**3/3
Let h(x) = -15*x + 8. Let d be h(0). Suppose 23*f - 93 = -d*f. Find v such that -4/5 + 2/5*v + 18/5*v**2 - 26/5*v**f + 2*v**4 = 0.
-2/5, 1
Suppose 0 = 17*z + 44*z - 793. Let g(o) be the second derivative of 0*o**2 + 0 + 1/42*o**4 + 0*o**3 + 1/105*o**6 + 1/35*o**5 + z*o. Factor g(x).
2*x**2*(x + 1)**2/7
Let v be (-1)/(1/(-7))*40/28. Let a(w) = 4*w**2 - 22*w. Let y(k) = -k. Let s(x) = v*y(x) - a(x). Factor s(j).
-4*j*(j - 3)
Let m(u) be the first derivative of -13 + 0*u**3 + 1/30*u**5 - 1/240*u**6 + 0*u - 8*u**2 - 1/12*u**4. Let r(x) be the second derivative of m(x). Factor r(o).
-o*(o - 2)**2/2
Let z = -31/22860 - -1835/4572. Find t, given that 0 - 4/5*t**2 + 0*t + 6/5*t**3 + 0*t**4 - z*t**5 = 0.
-2, 0, 1
Let o = 296279 - 296277. Factor 1/6*z**o + 294 - 14*z.
(z - 42)**2/6
Suppose -82 - 13 = -14*z - 25. Let b(w) be the second derivative of 9*w**3 + 64/21*w**7 - 2*w**2 - 133/6*w**4 - 16*w**6 + 14*w + 142/5*w**z + 0. Factor b(g).
2*(g - 2)*(g - 1)*(4*g - 1)**3
Let v be 2 + 99/(-51) + (-30 - (-65209)/2074). Suppose 3/4 - 1/4*c**4 + v*c**2 + 2*c + 0*c**3 = 0. What is c?
-1, 3
Let a be (((-176)/440)/(-2))/(-2*(-1)/2). Find z, given that 8/5*z - z**2 - 4/5 + a*z**3 = 0.
1, 2
Let -2/11*v**2 + 360/11 - 82/11*v = 0. What is v?
-45, 4
Suppose -2*y + 46 = 4*r, -4*y - 3*r + 59 = -43. Let k be ((-1152)/y)/(-16) - (-4)/(-6). Factor 0*c + 8/7*c**k - 2/7*c**3 + 0.
-2*c**2*(c - 4)/7
Let a(u) = 75*u + 154. Let m be a(-2). Let b(i) be the third derivative of 0 + 31*i**2 + 0*i**3 + 0*i - 1/4*i**m + 7/20*i**5. Factor b(t).
3*t*(7*t - 2)
Let l(c) = -5*c + 11. Let x be l(-7). Let a = x + -43. Factor -3*d**2 + 0*d**2 - 9*d**5 + 0*d**5 + 8*d**3 - d**2 + a*d**4.
-d**2*(d + 1)*(3*d - 2)**2
Let l(w) be the second derivative of w**4/48 - 11*w**3/6 - 75*w**2/2 - 1289*w. What is c in l(c) = 0?
-6, 50
Let w(v) be the first derivative of -v**4/8 + 23*v**3/3 - 143*v**2 + 484*v - 1387. Determine b so that w(b) = 0.
2, 22
Let f(x) be the second derivative of x**4/54 - 644*x**3/27 + 643*x**2/9 + 350*x + 9. Factor f(g).
2*(g - 643)*(g - 1)/9
Let u(c) = -2*c**3 + 5*c**2 + 2*c - 1. Let i(j) = 21*j**3 + 32*j**2 + 15*j. Let o(v) = -2*i(v) - 2*u(v). Suppose o(y) = 0. What is y?
-1, 1/19
Suppose 0 = -5*f - 3*w - 26, -12*w = -7*f - 7*w + 74. Factor -66*g**f + 81/2*g**3 + 3/4*g**5 + 0 - 75/8*g**4 + 24*g.
3*g*(g - 4)**3*(2*g - 1)/8
Let b(v) be the first derivative of -2*v**5/5 + 200*v**4 - 27712*v**3 + 313600*v**2 - 1229312*v + 2922. Factor b(r).
-2*(r - 196)**2*(r - 4)**2
Let d(u) = u**2 - 15*u + 2. Let m be d(15). Factor 6*f - 12 - 11*f**2 + 5*f**m + 4*f + 4*f**2.
-2*(f - 3)*(f - 2)
Let t(n) be the first derivative of 5*n**3/3 + 2530*n**2 + 4189. Factor t(i).
5*i*(i + 1012)
Let d(c) be the second derivative of c**5/190 + c**4/57 - 7*c**3/19 + 18*c**2/19 - c - 65. Suppose d(q) = 0. What is q?
-6, 1, 3
Let c(i) be the first derivative of -2354*i - 10*i**3 - 34*i**2 - 91 - 35*i**2 + 8*i**3 + i**3 + 767*i. Factor c(d).
-3*(d + 23)**2
Let s be ((-1)/2)/((-11)/66). Solve 135*k**4 + 132*k**2 + 55*k**3 + 119*k**3 + 24*k + 60*k**s = 0.
-2/3, -2/5, 0
Find l, given that 1 - 51*l + 42*l**3 - 57*l**3 - 7*l**4 + 31 - 38*l + 81*l**2 - 2 = 0.
-5, 6/7, 1
Let f be -3 + 378/49 - (-36)/126. Let w(b) be the first derivative of -3*b**3 + 3/5*b**f - 10 + 6*b - 3/4*b**4 + 3/2*b**2. Factor w(k).
3*(k - 2)*(k - 1)*(k + 1)**2
Let d(n) be the third derivative of n**5/630 - 487*n**4/126 + 237169*n**3/63 - 3*n**2 + 129. Let d(k) = 0. What is k?
487
Let j be (-1076)/(-11) + 1 - 48/(-264). Let c = -99 + j. Determine f, given that 2/3*f**3 + c*f**2 + 4/3 - 2*f = 0.
-2, 1
Let h(d) = -2*d**3 - 195*d**2 - 1525*d - 1066. Let a be h(-89). Factor 4/3*z**5 + 16/3*z**4 + 0*z + 8/3*z**a + 20/3*z**3 + 0.
4*z**2*(z + 1)**2*(z + 2)/3
Let -168*y**3 + 499*y**3 - 165*y**3 + 564*y + 236*y + 600 - 154*y**2 - 172*y**3 = 0. Calculate y.
-30, -2/3, 5
Let g(z) = -23*z**3 + 8*z**2 + 11*z - 11. Let j be (25/(-3) + 1)*(-10 + 13). Let y(v) = -2*v**3 + v - 1. Let d(w) = j*y(w) + 2*g(w). Solve d(p) = 0 for p.
0, 8
Let v(f) be the second derivative of f**4/21 + 1112*f**3/21 - 2232*f**2/7 + 291*f. Determine w so that v(w) = 0.
-558, 2
Let m be (663/39 - -27) + -40. Determine c so that 375/4*c**m + 198*c**2 + 63/4*c**5 + 84*c + 12 + 204*c**3 = 0.
-2, -1, -2/3, -2/7
Let o(u) be the first derivative of u**7/4620 - 7*u**6/1980 + u**5/44 - 3*u**4/44 + 99*u**3 - 277. Let x(y) be the third derivative of o(y). Factor x(j).
2*(j - 3)**2*(j - 1)/11
Let x(k) = -k**2 + 5*k + 5. Let d be x(5). Let z be -9 + (-1 + 6 - -6). Determine s, given that d*s**2 + 3*s**3 + 26 - 26 + s**z = 0.
-2, 0
Let h(z) be the second derivative of -16/3*z**2 + 13/9*z**4 + 1/5*z**5 - 4*z + 4/9*z**3 - 6. Solve h(i) = 0 for i.
-4, -1, 2/3
Let h(i) be the second derivative of i**6/75 + 3*i**5/50 - i**4/30 - i**3/5 + 8*i - 130. Factor h(k).
2*k*(k - 1)*(k + 1)*(k + 3)/5
Let z be ((-1078)/21)/7 + 12. Let j = -4/1251 - -39202/1251. Factor j*m**2 + z*m**3 - 140/3*m + 32/3.
2*(m - 1)*(m + 8)*(7*m - 2)/3
Let w(a) be the second derivative of -a**6/90 + a**5/15 + 47*a**4/18 + 142*a**3/9 + 65*a**2/2 + 10985*a. Determine r, given that w(r) = 0.
-5, -3, -1, 13
Suppose -3*c - 17 = 2*u, 9 = -4*u - 2*c - 5. Let l = u + 2. Factor 1/2*g - g**2 + l - 1/2*g**3.
-(g - 1)*(g + 1)*(g + 2)/2
Let p(o) = -9*o**2 + 63*o - 8. Let n(t) = 4*t**2 - 32*t + 4. Let l(y) = 5*n(y) + 3*p(y). Let a(j) = -j**2 + 1. Let z(k) = -6*a(k)