*d**2 + a + 24/5*d.
2*(d + 6)**2/5
Let g be 56 - (60 - (16 - 10)). Solve 6/7*d**3 - 16/7*d**g + 32/7 - 40/7*d = 0 for d.
-2, 2/3, 4
Solve -25/2 + 23/4*x + 1/4*x**2 = 0.
-25, 2
Let j(u) = -u**3 - 60*u + 2. Let r be j(0). Let d = 45 - 25. Suppose -7*b + r*b**5 + 32*b**4 - 23*b - 32*b**4 - 8 - 40*b**2 - d*b**3 = 0. Calculate b.
-1, 4
Let o(f) be the first derivative of -5*f**4/4 + 175*f**3/3 - 635*f**2/2 + 465*f + 3291. Find d, given that o(d) = 0.
1, 3, 31
Factor 1/3*t**2 + 1420/3*t + 504100/3.
(t + 710)**2/3
Suppose 3/2*p**2 + 30127683/2 - 9507*p = 0. Calculate p.
3169
Let j = 22481/45 + -4489/9. Suppose -176/5*s + 1936/5 + j*s**2 = 0. Calculate s.
22
Suppose 6*p - 26*p = -40. Factor -76*z + 4*z**2 - 14*z**p + 97*z + 5*z**3 - 4*z**3.
z*(z - 7)*(z - 3)
Let p(s) be the third derivative of -s**8/2688 + 7*s**6/960 + s**5/80 + 728*s**2. Solve p(t) = 0.
-2, -1, 0, 3
What is t in -54 - 1/4*t**2 - 75/4*t = 0?
-72, -3
Let t(k) be the third derivative of k**6/780 + 11*k**5/390 + 5*k**4/26 - 777*k**2. Factor t(u).
2*u*(u + 5)*(u + 6)/13
Let q be 962/(-8)*(-11004)/(-655). Let y = -2019 - q. Factor y*p**3 + 36/5*p**2 + 72/5*p + 48/5.
6*(p + 2)**3/5
Let k(m) be the second derivative of m**5/20 - 5*m**4/8 + 2*m**3 - 3*m**2 - m + 14. Let v(u) be the first derivative of k(u). Factor v(l).
3*(l - 4)*(l - 1)
Factor -5/4*x**2 - 35 - 20*x.
-5*(x + 2)*(x + 14)/4
Determine o so that -1461/4*o**3 + 0 - 2187/4*o**4 + 1/4*o + 727/4*o**2 = 0.
-1, -1/729, 0, 1/3
Suppose 10*h**2 - 46/3*h - 2/3*h**4 + 20/3 - 2/3*h**3 = 0. Calculate h.
-5, 1, 2
Let k(x) = x. Let h(l) = -l + 29. Let t(f) = h(f) + 4*k(f). Let u be t(-7). Factor 22*p**3 + 6*p**2 - u - 4*p**3 - 8*p**3 - 8*p**3.
2*(p - 1)*(p + 2)**2
Suppose 0 = -2*i + 4*v + 38, -i + 4*v + 125 = 4*i. Find j, given that 19 - 34 + 9*j - i*j + 35*j**2 = 0.
-3/7, 1
Let o = -3771 - -3775. Let i(s) be the third derivative of 1/900*s**6 + 1/225*s**5 + 0*s**3 - 15*s**2 + 0 - 1/60*s**o + 0*s. Let i(u) = 0. Calculate u.
-3, 0, 1
Let k be 42/8 - 54/(-72). Let m(y) = 81*y**3 - 264*y**2 + 283*y - 100. Let u(i) = -162*i**3 + 529*i**2 - 567*i + 200. Let v(n) = k*u(n) + 14*m(n). Factor v(g).
2*(g - 1)*(9*g - 10)**2
Let t(h) be the first derivative of 5*h**4/4 + 15*h**3 - 405*h**2/2 - 3645*h + 6787. Determine k so that t(k) = 0.
-9, 9
Let p = 1065823/4263324 + 2/1065831. Let 5/2*u - 4 - p*u**2 = 0. Calculate u.
2, 8
Let o = 28/27089 - -53982/189623. Solve 2/7*i**5 - o*i**4 - 10/7*i**3 + 8/7 + 2/7*i**2 + 16/7*i = 0.
-1, 2
Let h = -147 + 188. Solve -14 - 34 - 4*c**5 + 328*c - 7 - 404*c**2 - 28*c**4 - h + 204*c**3 = 0.
-12, 1, 2
Let c be 2/(-6) - -2 - (-2)/6. Let y(v) be the first derivative of -16*v**2 + v**3 + 4 + 12 + 5*v**2 + 15*v + 2*v**c. Factor y(l).
3*(l - 5)*(l - 1)
Determine b, given that -2*b**2 - 58 + 49 + 23*b - 77*b - 59 - 76 = 0.
-24, -3
Let k(h) be the second derivative of -h**9/30240 - h**8/3360 + h**7/5040 + h**6/360 + 31*h**4/4 + 122*h. Let i(a) be the third derivative of k(a). Factor i(d).
-d*(d - 1)*(d + 1)*(d + 4)/2
Suppose 0 = -29*s + 22*s - 35. Let f be s*9/(540/(-64)). Factor -8*y - 2/3*y**3 + f + 4*y**2.
-2*(y - 2)**3/3
Let l be 6/4*(-8 - -12). Let s be (-20)/l*9/(-6). Determine r, given that -27 - 7*r - s*r - 2*r**2 + 9 = 0.
-3
Let f(z) = 10*z**3 - 2*z**2 - 4*z + 2. Let t(k) = 2*k**3 - k**2 - k + 1. Suppose -4*j + 122 = 98. Let s(i) = j*t(i) - f(i). Factor s(u).
2*(u - 2)*(u - 1)*(u + 1)
Let a = 137 - 91. Factor -26*x**3 - 24*x**3 - 30*x + 64*x**2 - 22*x + a*x**3 - 120.
-4*(x - 15)*(x - 2)*(x + 1)
Let o(g) be the first derivative of -g**5/4 - 5*g**4/2 - 15*g**3/2 + 63*g + 63. Let z(d) be the first derivative of o(d). Factor z(b).
-5*b*(b + 3)**2
Let x(f) = 3*f**3 - 183*f**2 - 178*f - 4. Let r(v) = -7*v**3 + 366*v**2 + 355*v + 9. Let i(g) = 4*r(g) + 9*x(g). Factor i(j).
-j*(j + 1)*(j + 182)
Let s be ((32/56)/((-10)/5305))/(12/(-1407)). Let -82*v + 4/5 + 62846*v**4 - s*v**3 - 300763/10*v**5 + 2855*v**2 = 0. What is v?
2/67, 1
Let t(a) be the third derivative of -a**8/10080 + a**7/1260 - 17*a**5/12 - 74*a**2. Let p(k) be the third derivative of t(k). Factor p(y).
-2*y*(y - 2)
Let u = 118/39 - 22/13. Suppose 247*j - 3*j - 488 = 0. What is c in -2/3 - u*c - 2/3*c**j = 0?
-1
Let x(i) be the third derivative of i**8/1344 + 5*i**7/168 - 9*i**6/160 - 5*i**5/48 + 13*i**4/48 - 807*i**2. Determine d, given that x(d) = 0.
-26, -1, 0, 1
Factor -2/7*o**2 - 82/7*o + 112.
-2*(o - 8)*(o + 49)/7
Let n(b) be the third derivative of 59*b**2 - 1/5*b**5 - 23/60*b**6 + 0*b - 5/168*b**8 - 22/105*b**7 + 0*b**4 + 0 + 0*b**3. Find v, given that n(v) = 0.
-3, -1, -2/5, 0
Let z(u) be the third derivative of -u**4/12 - 5*u**3/3 + 20*u**2. Let r be z(-5). Factor 5*c**2 + r*c**2 - 4 - 4*c - 6*c**2.
-(c + 2)**2
Suppose -3*a = -z - 301, -3*a = -z - 2*z - 303. Let r(p) be the first derivative of -p**4 - 6*p**3 + a*p - 30*p**2 - 6*p**3 + 825 - 833. Factor r(h).
-4*(h - 1)*(h + 5)**2
Let p = -1077 + 636. Let b be 9*(-14)/p*12/3. Factor -4/7*r**2 - b - 12/7*r.
-4*(r + 1)*(r + 2)/7
Let w(m) = 533*m - 2665. Let s be w(5). Let y(q) be the first derivative of 3/8*q**4 - 9/4*q**2 + s*q**3 - 2 - 3*q. Determine x, given that y(x) = 0.
-1, 2
Let k(y) be the first derivative of y**3/3 + 8*y**2 - 15*y + 23. Let d be k(-17). Factor -19*u**d + u**3 - 4*u**4 + 14*u**2 + 7*u**2 + u**3.
-2*u**2*(u - 1)*(2*u + 1)
Let q = -129 - -158. Suppose -q*b = -38*b + 27. Determine u, given that 2/11 - 2/11*u**b - 6/11*u + 6/11*u**2 = 0.
1
Let j(o) be the first derivative of -8/7*o**2 + 2*o + 2/21*o**3 + 88. Suppose j(w) = 0. Calculate w.
1, 7
Let m(z) be the first derivative of -9*z - 17 + 10 + 3*z**2 + z**3 - 11. Factor m(g).
3*(g - 1)*(g + 3)
Let p(h) = 1702*h + 1702. Let y be p(-1). Factor 3/2*g**4 + 12*g**2 - 6*g - 15/2*g**3 + y.
3*g*(g - 2)**2*(g - 1)/2
Solve -5*g**4 - 72 + 1217*g + 211*g - 132*g**3 - 330 - 382 + g**4 - 508*g**2 = 0 for g.
-28, -7, 1
Let i(l) be the second derivative of 3/16*l**4 + 1 + 2*l**2 - 1/80*l**5 + 11*l - l**3. Determine v, given that i(v) = 0.
1, 4
Let d(b) = 2*b**3 - 35*b**2 - 22*b + 74. Let x be d(18). Let z = 3 - 3. What is n in -n**x - 7*n + n + z*n - 8*n**2 = 0?
-2/3, 0
Let d be (14/4*(-4)/6)/(21119/(-2586)). What is q in -d*q**2 - 242/7 + 44/7*q = 0?
11
Let d be 71 + (2 - 2/2). Let h = d - 70. Factor 12*y + 0*y**2 + 4*y**h - 24 + 2*y**2 - y**3 - 2*y**3.
-3*(y - 2)**2*(y + 2)
Let p(s) = 4*s**3 - 1085*s**2 - 2191*s - 1096. Let k(q) = -2*q**3 + 1090*q**2 + 2192*q + 1096. Let a(v) = -6*k(v) - 4*p(v). Factor a(l).
-4*(l + 1)**2*(l + 548)
Let h = 34002 + -340019/10. Let r(t) be the third derivative of 0*t - 1/60*t**6 - 2*t**2 + 20 + 1/12*t**4 - t**3 + h*t**5. What is u in r(u) = 0?
-1, 1, 3
Let s be (44/20)/(1/(-5)). Let x be (s/((-33)/(-18)))/(-2). What is g in -2/3*g**4 + 4/3*g - 4/3*g**x + 0*g**2 + 2/3 = 0?
-1, 1
Let m(w) be the second derivative of 1/5*w**5 + 132*w + 0 + 0*w**3 + 0*w**2 - 1/63*w**7 + 1/45*w**6 + 0*w**4. Determine t, given that m(t) = 0.
-2, 0, 3
Suppose -17*h - 11 = -b - 18*h, -4*b - 5*h + 49 = 0. Factor -b*g**2 + 2*g**2 - 116*g + g**2 + 65*g.
-3*g*(g + 17)
Let x(i) = -2*i**2 + 22*i - 54. Let v(j) = 2*j**2 - 22*j + 53. Let a(k) = 6*v(k) + 5*x(k). Factor a(h).
2*(h - 8)*(h - 3)
Let u(r) = -10*r**3 + 26*r**2 + 1330*r - 6386. Let z(s) = 2*s**3 - 5*s**2 - 266*s + 1277. Let i(c) = 3*u(c) + 16*z(c). Find f, given that i(f) = 0.
-13, 7
Let v(x) be the second derivative of -x**6/15 + 7*x**5/10 - 5*x**4/3 + 4811*x. Solve v(f) = 0.
0, 2, 5
Let n be -7 - ((-17024)/(-5100) + -10). Let i = -2/425 - n. Let 2/3*u + 1/3*u**4 - u**3 - i*u**2 + 0 + 1/3*u**5 = 0. What is u?
-2, -1, 0, 1
Let b(y) = y**3 - y**2 - y. Let k be (1/1)/(((-28)/20)/(-7)). Let z(l) = -10*l**3 + 2*l**2 + 67*l - 24. Let d(x) = k*b(x) + z(x). Factor d(n).
-(n - 3)*(n + 4)*(5*n - 2)
Factor 2248/3*c + 8*c**2 + 157922/9.
2*(6*c + 281)**2/9
Let o(d) be the third derivative of -d**2 - 43/96*d**4 + 0 - 40*d + 3/4*d**3 - 1/48*d**5. Suppose o(j) = 0. What is j?
-9, 2/5
Let s(f) be the first derivative of f**6/6 + 7*f**5 + 31*f**4/4 - 107*f**3/3 - 86*f**2 - 68*f - 14120. Let s(j) = 0. Calculate j.
-34, -1, 2
Let r(d) = -25*d - 14*d**3 + 2 + 7*d**2 - 41*d**2 - 7. Let t(l) = 59*l**3 - 60*l**3 - 16*l**2 + 15*l**2. Let m(a) = r(a) + t(a). Factor m(b).
-5*(b + 1)**2*(3*b + 1)
Let r(s) = s**3 +