).
-2*(r + 129)**3
Let m = -1929212/7 - -275604. Factor m*n**4 + 343 + 168*n**2 + 32*n**3 + 392*n.
(2*n + 7)**4/7
Suppose s - 2*o = -14, 199*s - 202*s = -3*o + 18. Let j(v) be the first derivative of 7/2*v**s + 3*v**3 + 5/4*v**4 + 1/5*v**5 - 17 + 2*v. Factor j(c).
(c + 1)**3*(c + 2)
Suppose -688*g + 574 = -1490. Factor -3/2*r + 5/2*r**g + 2 - 3*r**2.
(r - 1)**2*(5*r + 4)/2
Let n = -52329 - -261646/5. What is c in 4/5*c**2 - 1/5*c**4 + n*c**3 + 0 - 4/5*c = 0?
-2, 0, 1, 2
Let b(q) be the first derivative of 2*q**3/39 + 49*q**2/13 + 276*q/13 - 1479. Solve b(v) = 0 for v.
-46, -3
Let d(b) be the third derivative of -b**7/42 - 4*b**6/3 - 287*b**5/12 - 245*b**4/6 + 3430*b**3 - 76*b**2 - 29*b + 1. Factor d(y).
-5*(y - 3)*(y + 7)*(y + 14)**2
Let j(p) be the third derivative of -43*p**5/45 - 5*p**4/18 - 5807*p**2. Factor j(s).
-4*s*(43*s + 5)/3
Suppose 4*d + 24 = 4*c, -d = -c - 2*c + 24. Let y(s) = -10*s**2 + 89*s - 111. Let x(z) = -5*z**2 + 44*z - 56. Let h(p) = c*x(p) - 4*y(p). Factor h(g).
-5*(g - 6)*(g - 2)
Let u = 1192221 + -5961102/5. Suppose 12/5*n**2 + 0 - u*n**3 + 3*n = 0. Calculate n.
-1, 0, 5
Let t(i) be the third derivative of i**7/945 + 37*i**6/540 + 14*i**5/9 + 352*i**4/27 + 1024*i**3/27 - 11*i**2 + 24. Solve t(l) = 0 for l.
-16, -4, -1
Let h be 5/((-7)/(-266) + 0). Let z = h - 188. Factor -1/2 + 1/2*p**z + 1/8*p - 1/8*p**3.
-(p - 4)*(p - 1)*(p + 1)/8
Let r(f) be the first derivative of -f**4/8 + 61*f**3/6 + 63*f**2/2 - 1253. Let r(k) = 0. What is k?
-2, 0, 63
Let s(m) be the first derivative of -4*m**3/9 + 290*m**2/3 + 10557. Factor s(x).
-4*x*(x - 145)/3
Let b(v) = -v**4 - v**3 - v**2 - 24. Let k(u) = 5*u**4 - 547*u**3 + 171*u**2 + 299*u - 36. Let z(t) = -4*b(t) + k(t). Factor z(q).
(q - 60)*(q - 1)*(3*q + 1)**2
Factor 3/7*g + 1/7*g**2 - 4/7.
(g - 1)*(g + 4)/7
Let n(q) = -10*q**3 + 8*q**2 - 4*q. Let f(i) = i + 26*i**3 - 7*i**2 + 3*i - 18*i**3. Let j(w) = 6*f(w) + 5*n(w). Determine s, given that j(s) = 0.
-2, 0, 1
Let s(v) be the third derivative of 9*v**6/2 - 42*v**5/5 + 13*v**4/2 - 8*v**3/3 + v**2 - 2007. Factor s(l).
4*(3*l - 1)**2*(15*l - 4)
Suppose -2*f + 120 = 3*f. Solve -f*d**2 + 20*d**2 - 36*d + 8 - 40 = 0 for d.
-8, -1
Let v(w) = w**2 + 14*w - 11. Let j be v(-15). Suppose j*p + 2*d - 2 = 0, p - d - 14 = -2*p. Determine x, given that -10/9*x**2 + 2/9*x**p + 10/9 - 2/9*x = 0.
-1, 1, 5
Let f(z) be the third derivative of -z**7/210 - z**6/12 - z**5/3 + 5*z**4/12 + 7*z**3/2 - 2*z**2 - 49*z. Find c such that f(c) = 0.
-7, -3, -1, 1
Let l(j) be the first derivative of j**6/90 - j**5/60 - j**4/18 - 58*j - 10. Let o(y) be the first derivative of l(y). Factor o(p).
p**2*(p - 2)*(p + 1)/3
Suppose -188129*u + 188294*u - 330 = 0. Find k such that -129/2 + 66*k - 3/2*k**u = 0.
1, 43
Let f(x) be the first derivative of -x**3/3 - 16*x**2 - 60*x - 181. Factor f(y).
-(y + 2)*(y + 30)
Find a, given that -2/3*a**4 - 392/3*a + 60*a**2 + 272/3 - 22/3*a**3 = 0.
-17, 2
Solve -30/7 + 3/7*u**5 - 81/7*u + 6/7*u**3 + 18/7*u**4 - 60/7*u**2 = 0.
-5, -1, 2
Let x = 19/49 - -2/49. Let c = x + 19/21. Factor -c + 2/3*s**2 + 2/3*s.
2*(s - 1)*(s + 2)/3
Let u(j) be the third derivative of -j**6/360 - 1297*j**5/180 + 2705*j**2. Factor u(a).
-a**2*(a + 1297)/3
Let o(b) be the second derivative of b**8/1344 - 5*b**7/504 + b**6/24 + 5*b**4/12 - b**2/2 + 91*b. Let z(t) be the third derivative of o(t). Factor z(i).
5*i*(i - 3)*(i - 2)
Let j(l) be the second derivative of 1/42*l**7 - 1/30*l**6 + 0*l**3 + 0*l**2 - 28*l + 0 + 0*l**5 + 0*l**4. Let j(f) = 0. Calculate f.
0, 1
Let n(k) be the second derivative of -k**7/168 + k**6/40 + 11*k**5/80 - k**4/16 - 5*k**3/12 + 3*k + 30. Suppose n(s) = 0. What is s?
-2, -1, 0, 1, 5
Let q(f) be the second derivative of -f**6/90 + 12*f**5/5 + 97*f**4/12 + 73*f**3/9 + 7430*f. Find u such that q(u) = 0.
-1, 0, 146
Let n(j) be the first derivative of 1/14*j**4 + 0*j + 40 + 8/21*j**3 + 3/7*j**2. Factor n(b).
2*b*(b + 1)*(b + 3)/7
Let u = -413 - -416. Suppose 16 = -3*p + 5*n, 3*p + u = -p + 3*n. What is r in 4/3 + 4*r + 4/3*r**p + 4*r**2 = 0?
-1
Let s = -5824 + 15889. Let t be (-3)/(-18) - (s/18)/(-5). Factor -h**3 - 5*h + 53*h + 16*h**2 - t*h.
-h*(h - 8)**2
Let 190*n**2 - 552*n**2 - 225*n + 349*n**2 + 236*n**2 + 2 = 0. Calculate n.
2/223, 1
Let q(n) = -142*n**2 - 568*n. Let k be q(-4). Let a(f) be the second derivative of 1/9*f**3 + 0 + k*f**2 - 2*f + 1/36*f**4. Find p such that a(p) = 0.
-2, 0
Factor 17*f + 77*f + 14*f + 240*f**3 - 125766*f**4 - 342*f**2 + 125816*f**4.
2*f*(f + 6)*(5*f - 3)**2
Suppose 10/13*h + 12/13 - 2/13*h**2 = 0. Calculate h.
-1, 6
Let y = 53 - 40. Let i(q) = -q**2 - y*q + 0*q**2 + 21*q - 28 + 3. Let p(d) = -2*d + 6. Let g(s) = -2*i(s) - 9*p(s). Factor g(n).
2*(n - 1)*(n + 2)
Let f(p) be the first derivative of -p**4/18 - 1034*p**3/9 - 267289*p**2/3 - 276376826*p/9 - 190. Factor f(x).
-2*(x + 517)**3/9
Solve -2*v**2 - 10331*v - 2*v**2 + 19834*v - 10463*v = 0 for v.
-240, 0
Let w(q) = -2*q**3 - 9*q**2 + 61*q + 42. Let j be w(-8). Let 0 - 13/2*p - 1/4*p**j = 0. What is p?
-26, 0
Suppose 3376/9*q - 250/9*q**4 + 7300/9*q**3 - 448/9 - 2840/3*q**2 = 0. What is q?
2/5, 28
Let a be 111/(-18) - 3/(-9 - 9). Let s be 3/(63/a) - 62/(-21). Determine u, given that -s*u - 2/3*u**4 + 0*u**2 + 2*u**3 + 0 = 0.
-1, 0, 2
Let h(q) = -2*q + 12. Let g be h(6). Suppose g = -d + 6 - 2. Factor 5*u**d - 493*u + 25*u**2 - 4*u**3 - 16*u**3 + 483*u.
5*u*(u - 2)*(u - 1)**2
Let 4737/4*t**3 - 5043/4*t**2 - 90*t**4 - 288*t - 75*t**5 - 15 = 0. Calculate t.
-5, -1/10, 2
Let z(n) be the second derivative of n**4/3 - 44*n**3/3 - 150*n**2 + 3*n + 25. Factor z(s).
4*(s - 25)*(s + 3)
Suppose -9 = 4*f - 33. Determine k so that 27 + f*k**3 + 124*k**2 - 139*k**2 + 9*k - 3*k**3 = 0.
-1, 3
Let i(g) = 32*g - 652. Let r be i(21). Suppose r*l = 15*l. Suppose 6*v**2 + 0 - 15/2*v**3 + l*v + 3/2*v**4 = 0. What is v?
0, 1, 4
Let t = -3139 + 998201/318. Let m = t - -1279/2226. Factor -4/7*a**4 - m + 0*a + 0*a**3 + 8/7*a**2.
-4*(a - 1)**2*(a + 1)**2/7
Solve c**3 - 13225*c**2 - 13272*c**2 - 252*c + 26246*c**2 = 0.
-1, 0, 252
Let t(a) be the third derivative of 2404*a**5/195 - a**4/156 - 30*a**2 + 6*a + 2. Factor t(r).
2*r*(4808*r - 1)/13
Let q = 628 - 632. Let p be 8 - (11 + q + -8). Factor p*t + 0 + 3/2*t**3 - 15/2*t**2.
3*t*(t - 3)*(t - 2)/2
Let l(t) be the third derivative of -t**8/84 + 8*t**7/105 + 7*t**6/6 - 10*t**5 - 17*t**2 + 31*t - 3. Factor l(c).
-4*c**2*(c - 5)**2*(c + 6)
Find f such that 2/7*f**2 + 6/7 + 8/7*f = 0.
-3, -1
Let j be (65/15)/((-2)/6) + 640/48. Factor -2*r**2 + 0*r + 0 + 0*r**4 + j*r**5 - 7/3*r**3.
r**2*(r - 3)*(r + 1)*(r + 2)/3
Determine g, given that -10*g + 193*g**3 - 270 - 17*g + 48*g**2 - 196*g**3 = 0.
-2, 3, 15
Let m(n) be the first derivative of n**8/224 + n**7/35 + n**6/16 + n**5/20 - n**2 - 9*n + 41. Let p(q) be the second derivative of m(q). Solve p(y) = 0 for y.
-2, -1, 0
Let o(w) be the third derivative of -w**5/360 + 7*w**4/48 - 5*w**3/9 + 4898*w**2. Determine g so that o(g) = 0.
1, 20
Let i(u) be the first derivative of -u**2/2 - 5*u + 34. Let l be i(-10). Factor -l - 4 + 2*o**3 + 3*o**2 + 8.
(o + 1)**2*(2*o - 1)
Solve -879*t**2 + 1016 + 300*t**2 - 3548*t + 281*t**2 + 270*t**2 = 0.
-127, 2/7
Suppose 14 - 65*l**4 - 115*l**3 - 23 + 9 + 60*l**5 + 10*l**2 = 0. What is l?
-1, 0, 1/12, 2
Let i = -4785 + 4787. Let d(o) be the first derivative of 4 - 1/3*o**3 + 1/24*o**4 - 4/3*o + o**i. Determine j, given that d(j) = 0.
2
Let k(q) be the second derivative of 0 + 1/10*q**4 + 1/150*q**6 - 194*q - 2/25*q**5 - 7/10*q**2 + 4/15*q**3. Determine v, given that k(v) = 0.
-1, 1, 7
Let f(a) be the third derivative of -a**6/180 + 2*a**5/15 - 17*a**4/36 - 10*a**3/3 + 295*a**2. Factor f(u).
-2*(u - 10)*(u - 3)*(u + 1)/3
Let u = 150167 + -750829/5. Factor 0*y**2 + 0*y - u*y**3 + 0 - 3/5*y**4 + 3/5*y**5.
3*y**3*(y - 2)*(y + 1)/5
Let z(u) be the second derivative of -u**4/28 - 641*u**3/14 - 960*u**2/7 + 1680*u - 3. Factor z(k).
-3*(k + 1)*(k + 640)/7
Let z(g) = 2*g**3 + g**2 - 9*g. Let p(f) be the first derivative of -f**4/4 + f**3 + 174. Let t(k) = 6*p(k) + 2*z(k). Factor t(s).
-2*s*(s - 9)*(s - 1)
Suppose 106 = 3*y - 353. Suppose -6*f = -y + 129. Suppose 0 + 6/5*z**f + 16/5*z + 8/5*z**2 - 4*z**3 = 0. Calculate z.
-2/3, 0, 2
Let u(w) be the first derivative