*6 - 1000/3*y**3. Solve r(b) = 0 for b.
1, 3, 8
Factor 98/5 - 14*p - 26/5*p**2 - 2/5*p**3.
-2*(p - 1)*(p + 7)**2/5
Suppose 4*l - 5*s - 1 = 3, 5*l + 5*s = -40. Let t = 18 + l. Factor y**3 - 38*y**2 - y**2 + t*y + 58*y - 27 + 5*y**3.
3*(y - 3)**2*(2*y - 1)
Let r(i) be the second derivative of i**7/441 + 2*i**6/9 + 431*i**5/70 + 170*i**4/9 + 1156*i**3/63 - 848*i. Solve r(a) = 0.
-34, -1, 0
Let c(g) be the second derivative of g**6/20 + 27*g**5/8 + 539*g**4/8 + 1683*g**3/4 - 1701*g**2 - 12*g - 41. Suppose c(n) = 0. What is n?
-28, -9, 1
Let z be (-576)/(-21) + 24*270/(-240). Let w be (11/(-14))/((-2)/4). Factor -4/7 - w*v + z*v**2.
(v - 4)*(3*v + 1)/7
Let q(g) be the second derivative of -g**4/48 + 7*g**3/6 - 27*g**2/8 + 8370*g + 1. Factor q(j).
-(j - 27)*(j - 1)/4
Let x = -2735 - -8210/3. Suppose 514*m = 512*m + 30. Suppose x*t**2 + m - 10*t = 0. What is t?
3
Let -284*p**2 - 6 - 410*p**3 + 13*p**5 - 6*p**5 - 16 - 54*p**4 - 141*p + 184*p**3 = 0. Calculate p.
-1, -2/7, 11
Let g be 210/(-36)*(-3 - 81/(-30)) + (-100 - -99). Determine r, given that -1/4*r**3 + 3/4*r**2 - g*r + 1/4 = 0.
1
Let z = 19462 + -19458. Let s(x) be the third derivative of 0*x - 1/48*x**5 + 0 - 20*x**2 + 0*x**3 - 5/48*x**z. Suppose s(u) = 0. Calculate u.
-2, 0
Let o(v) = 14*v**2 - 165*v - 170. Let b(p) = 10*p**2 - 166*p - 170. Let a(m) = 3*b(m) - 2*o(m). Let a(k) = 0. Calculate k.
-1, 85
Factor 1199*m**2 - 2*m**3 + 1337*m**2 - 22000 + 1413*m**2 - 4209*m**2 - 4600*m.
-2*(m + 10)**2*(m + 110)
Find k such that 126*k**2 + 293*k - 8*k**2 + 666*k**2 + 761*k + 4*k**3 + 502*k + 776 = 0.
-194, -1
Let v be (0 - 0)/((-39)/(702/(-36))). Let k(m) be the third derivative of 0*m**3 + 0 - 12*m**2 + 0*m - 1/10*m**5 - 1/70*m**7 - 3/40*m**6 + v*m**4. Factor k(b).
-3*b**2*(b + 1)*(b + 2)
Let a be (-19)/(-8) + 12/(-32). Factor -3*f + 5*f**4 - 18*f**3 - 8*f**2 - a*f + 5*f.
f**2*(f - 4)*(5*f + 2)
Let o(z) = 50*z + 1 + 5*z**3 - 145*z - 26 + 2*z**2 - 7*z**2 - 25. Let b(m) = m**3 + 2*m**2 + m + 1. Let x(a) = -5*b(a) - o(a). Factor x(n).
-5*(n - 3)*(n + 3)*(2*n + 1)
Let s = 88 - 83. Let q(r) = -1. Let p(c) = 2. Let z(u) = -p(u) - q(u). Let j(b) = -b**3 + 3*b**2 - 7. Let d(a) = s*j(a) - 35*z(a). Factor d(i).
-5*i**2*(i - 3)
Factor -846 - 424*o - 1/2*o**2.
-(o + 2)*(o + 846)/2
Let b(u) be the second derivative of u**5/35 + 2*u**4/7 - 2*u**3/21 - 12*u**2/7 + 34*u - 1. What is h in b(h) = 0?
-6, -1, 1
Factor -1952/11 + 2/11*j**3 - 480/11*j**2 - 1944/11*j.
2*(j - 244)*(j + 2)**2/11
Suppose 3 = 21*y - 18. Let i(t) = 15*t - 13. Let m be i(y). Factor 2/3*x**m + 0*x - 8/3.
2*(x - 2)*(x + 2)/3
Let o(t) be the third derivative of -t**10/287280 - t**9/143640 + t**8/31920 + 9*t**4/8 + 50*t**2. Let s(w) be the second derivative of o(w). Factor s(q).
-2*q**3*(q - 1)*(q + 2)/19
Let v(g) = -1384*g - 33213. Let y be v(-24). Factor -1/2*z**2 + 1/2*z + y.
-(z - 3)*(z + 2)/2
Suppose -5*q - 89 - 16 = 0. Let k = q + 23. Factor 18*d**2 - 12*d - 4 - 5 - 21*d**k.
-3*(d + 1)*(d + 3)
Let l(d) be the second derivative of -d**7/231 + 5*d**6/33 - 23*d**5/110 - 25*d**4/66 + 8*d**3/11 + 5690*d. Let l(k) = 0. What is k?
-1, 0, 1, 24
Let r be (-6)/(-9)*((-21)/(-6) + 1). Factor 0*b**3 - 2*b**3 - 3*b**2 + 2*b**r + 3*b**3.
3*b**2*(b - 1)
Suppose -1228*q**2 + 231*q**3 - 624 + 1512593*q**4 + 1552*q + 65*q**3 - 1512589*q**4 = 0. Calculate q.
-78, 1, 2
Let l be ((-9)/(162/(-42)))/((-4)/(-12)). Suppose 0*y - 4*y = l*y. Factor 0 + 0*n**2 + y*n**4 + 0*n - 1/5*n**5 + 1/5*n**3.
-n**3*(n - 1)*(n + 1)/5
Let p(w) be the third derivative of w**7/70 - 57*w**6/40 + 781*w**5/20 + 957*w**4/8 - 841*w**3 + 7710*w**2. Factor p(y).
3*(y - 29)**2*(y - 1)*(y + 2)
Let i(x) be the third derivative of 5*x**8/84 - 127*x**7/42 - 11*x**6/6 + 389*x**5/12 - 395*x**4/12 - 160*x**3/3 - x**2 - 8772. Let i(d) = 0. What is d?
-2, -1/4, 1, 32
Find d such that 21*d + 3/4*d**2 - 87/4 = 0.
-29, 1
Let h(j) be the first derivative of 7*j**6/9 - 8*j**5/5 - 109*j**4/6 - 116*j**3/9 + 44*j**2 + 80*j/3 + 881. Let h(m) = 0. Calculate m.
-2, -2/7, 1, 5
Let l(y) = 21*y**3 - 299*y**2 + 463*y - 169. Let z(g) = -41*g**3 + 594*g**2 - 928*g + 339. Let i(o) = -9*l(o) - 4*z(o). Factor i(v).
-5*(v - 11)*(v - 1)*(5*v - 3)
Let o = -427 - -469. Let s be (4/(-2))/((-28)/o). Solve 1/4*t**s + 9/4*t - 3/2*t**2 - 1 = 0.
1, 4
Suppose -1582*m + 12 = -1576*m. Let p(q) be the first derivative of -1/4*q**3 + 0*q + 14 - 3/2*q**m. Let p(l) = 0. What is l?
-4, 0
Let s = 52799/7 - 211077/28. Solve 7/2*g - s*g**2 + 0 + 3/4*g**3 = 0 for g.
0, 1, 14/3
Let u(h) = -h**3 + 12*h**2 - 9*h - 22. Let b be u(10). Suppose 5*m + 13 = b. Factor -5*l**4 + 0*l**2 - 10*l + m*l**2 + 5*l**5 + 5*l**3 - 5*l**4 - 5*l**4.
5*l*(l - 2)*(l - 1)**2*(l + 1)
Let j = -18219 - -145753/8. Let t(u) be the second derivative of 3/80*u**5 - 3/8*u**2 + 0 + 1/16*u**4 - j*u**3 - 13*u. Find l such that t(l) = 0.
-1, 1
Let 182*z - 6136457 + 232*z**2 + 4*z**3 + 6136681 + 270*z = 0. What is z?
-56, -1
Let d be (95/1710)/(-1 + 129/9). Let t(b) be the third derivative of -1/12*b**3 - d*b**5 + 0 + 7*b**2 + 1/32*b**4 + 0*b. Factor t(z).
-(z - 2)*(z - 1)/4
Factor 159/5*u**4 - 16200*u - 3/5*u**5 + 0 - 621*u**3 + 5265*u**2.
-3*u*(u - 15)**3*(u - 8)/5
Let x be (-407)/(-99) - (-4)/(-1). Let b(u) = 122*u - 4392. Let o be b(36). Determine q so that -2/9*q + x*q**5 - 1/3*q**4 + 1/3*q**2 + 1/9*q**3 + o = 0.
-1, 0, 1, 2
Let o be (323/19 - 18) + 3/6*10. Let 1/10*y**o + 12/5*y**2 + y**3 + 7/10 + 11/5*y = 0. Calculate y.
-7, -1
Let d(c) = -15*c + 2. Let y be d(-8). Let m be 13 - (10 - 124) - 5. What is w in y - 2*w - m - 5*w**3 + 7*w**2 = 0?
0, 2/5, 1
Let d be ((-315)/(-6))/(-7)*(-8 + -2). Suppose -183 = -136*m + d*m. Determine f, given that -2/3*f + 0 - 2*f**2 - 5/6*f**m = 0.
-2, -2/5, 0
Let y(u) = -7*u**2 + u - u**2 - 24 + 14 - u**3 + 2*u**4 + 13. Let j(g) = g**4 + g**3 - g**2 + g + 1. Let o(k) = -3*j(k) + y(k). Suppose o(n) = 0. Calculate n.
-2, -1, 0
Let m(o) be the first derivative of o**5/15 - 17*o**4/12 + 23*o**3/3 + 17*o**2/6 - 70*o/3 + 7757. Suppose m(b) = 0. Calculate b.
-1, 1, 7, 10
Let k(j) be the second derivative of 0 - 14/27*j**3 - 1/6*j**2 + 287*j - 1/12*j**4. Factor k(z).
-(z + 3)*(9*z + 1)/9
Let t = -443 + 445. Let k = -12 + 27. Solve 5 - 23*d**2 + 26*d**t + 7 - k*d = 0 for d.
1, 4
Let l be 11/(-231)*(-5 + (-1765)/(-335)). Let z = l + 12224/2345. Factor z*g - 96/5*g**2 + 72/5*g**3 - 2/5.
2*(g - 1)*(6*g - 1)**2/5
Suppose -4*c + 4*v + 372 = 0, 3*c + 0*c - 276 = 4*v. Let f be ((-1)/(-2))/(8*3/c). Factor 3 + 612*u**2 - 2*u - 305*u**2 - 308*u**f.
-(u - 1)*(u + 3)
Suppose 88/9*n**3 - 48*n + 158/9*n**2 - 56 + 2/9*n**4 = 0. Calculate n.
-42, -3, -1, 2
Suppose -5*l - 14*c = -8*c - 54, 4*c = -2*l + 28. Let s(z) be the third derivative of 0*z**5 + 0*z + 0 - 35*z**2 + 0*z**4 - 1/280*z**l + 0*z**3. Factor s(g).
-3*g**3/7
Let n = -277599 + 277601. Suppose 24/13*f - 22/13 - 2/13*f**n = 0. Calculate f.
1, 11
Let x = -26 + 29. Suppose -105*j**x - 36*j**4 + 12*j + 36*j**2 + 2*j + 94*j - 3*j**5 = 0. Calculate j.
-6, -1, 0, 1
Let l(g) be the second derivative of 0*g**2 + 64*g - 1/3*g**3 - 1/5*g**6 + 0 - 5/6*g**4 - 7/10*g**5. Factor l(s).
-2*s*(s + 1)**2*(3*s + 1)
Let v = -332 + 326. Let h(t) = t**3 + 8*t**2 + 13*t + 6. Let s be h(v). Factor 1/3*k**5 + s*k**3 + 0*k + 0*k**2 + 0 + 2/3*k**4.
k**4*(k + 2)/3
Let x(o) be the second derivative of -o**7/14 - 19*o**6/10 - 363*o**5/20 - 301*o**4/4 - 155*o**3 - 168*o**2 - o - 3289. Suppose x(a) = 0. Calculate a.
-8, -7, -2, -1
Determine p so that -2*p**2 + 2289 + 0*p**3 + 0*p**3 + 1008*p**2 - 3*p**3 + 1289*p**2 - 4581*p = 0.
1, 763
Let g(y) = 6*y**2 - 267*y - 33. Let i(t) = 25*t**2 - 801*t - 98. Let a(o) = 8*g(o) - 3*i(o). Factor a(q).
-3*(q - 10)*(9*q + 1)
Let 20*t**2 - 3678*t - 99 - 1867*t + 1484 = 0. What is t?
1/4, 277
Let h(f) = f**3 - 43*f**2 - 44*f + 3. Let g be h(44). Let n(u) be the first derivative of -5*u**g - 9*u + 3/4*u**4 + 21/2*u**2 + 15. Factor n(j).
3*(j - 3)*(j - 1)**2
Suppose -8*r + 0*r = -96. Factor -14*s**2 - r*s - 3*s**3 - 3*s**4 + 17*s**2 + 15*s.
-3*s*(s - 1)*(s + 1)**2
Let l(w) = -1287*w + 7722. Let c be l(6). Factor -6/7*s - 2/7*s**2 + c.
-2*s*(s + 3)/7
Suppose -p - 12 = -2*o, 0 = 2*o + o - 3*p - 24. Suppose 47*f - 112 - 6 - 23 = 0. Factor 29*r - 8*r - 10*r - 8 - o*r**f + r.
-4*(r - 1)**2*(r + 2)
Suppose -3