81/7*z**2 - 108/7.
(z - 27)*(z - 2)**2*(z + 1)/7
Suppose 220 - o**2 + o**2 + 368 - 591*o + 3*o**2 = 0. Calculate o.
1, 196
Let m(r) be the first derivative of -2*r**4 + 278*r**3 - 10920*r**2 + 5408*r + 168. Factor m(v).
-2*(v - 52)**2*(4*v - 1)
Suppose -5*f = 4*j - 33, -3*f = -3*j - 7 - 2. Suppose x - j*x = -4*h + 287, -5*x = 4*h - 317. Determine n so that -64*n + 3*n**3 + h*n - 13*n**2 + n**2 = 0.
0, 1, 3
Suppose 6*r = -5*w + 30, -r - 5*w = -45 + 15. Suppose -4*i = l - 6, 4*l + 0 = 4*i - 16. Factor 0 + 1/5*z**3 + r*z + 0*z**i - 1/5*z**4.
-z**3*(z - 1)/5
Suppose 0 = 17*b - 1598 + 5780. Let s = b + 248. Find f, given that 0 + 9/5*f**3 - 1/5*f - 9/5*f**4 + 1/5*f**s = 0.
-1/3, 0, 1/3, 1
Let k(f) be the second derivative of -f**4/20 + 5*f**3 - 276*f**2/5 - 6482*f. Factor k(q).
-3*(q - 46)*(q - 4)/5
Let k(j) be the second derivative of j**9/7560 - j**8/1680 - j**7/420 - j**4/4 - j**3/3 + 42*j. Let o(l) be the third derivative of k(l). Solve o(p) = 0 for p.
-1, 0, 3
Factor -76832*c**2 - 1/2*c**4 + 392*c**3 + 0*c + 0.
-c**2*(c - 392)**2/2
Let y(f) = 7*f**4 - 6*f**2 + 3. Let d = 30 - 31. Let w(k) = k**4 - k**3 - k**2 + k + 1. Let u = 12 - 8. Let s(x) = d*y(x) + u*w(x). Factor s(g).
-(g - 1)*(g + 1)**2*(3*g + 1)
Let r(s) be the third derivative of -s**6/120 + s**5/30 - s**4/24 - s**2 + 921. Factor r(a).
-a*(a - 1)**2
Let a(c) be the third derivative of 0 + 2*c - 1/21*c**7 + 3/2*c**5 + 0*c**3 + 18*c**2 - 1/3*c**6 - 15/8*c**4 + 5/336*c**8. Factor a(y).
5*y*(y - 3)*(y - 1)**2*(y + 3)
Let w(a) be the second derivative of -3*a**5/20 - 15*a**4/4 + 73*a**3/2 - 171*a**2/2 + 6*a + 87. Factor w(o).
-3*(o - 3)*(o - 1)*(o + 19)
Let x(c) be the third derivative of c**5/60 + c**4/24 - c**3/6 + 68*c**2. Let b(g) = -4*g**2 - 21*g - 78. Let y(o) = b(o) + 3*x(o). Factor y(l).
-(l + 9)**2
Let p(m) be the second derivative of m**5/30 - 17*m**4/9 + 56*m**3/3 + 15*m - 4. Suppose p(h) = 0. What is h?
0, 6, 28
Let a(v) be the first derivative of v**3/30 - 3*v**2/20 - 9*v/5 + 1196. Factor a(s).
(s - 6)*(s + 3)/10
Let h(c) be the second derivative of 0*c**2 - 1 + 35/4*c**4 - 33/20*c**5 - 25/2*c**3 + 17*c + 1/10*c**6. Determine z, given that h(z) = 0.
0, 1, 5
Let y(r) be the first derivative of 3*r**4/4 - 548*r**3 + 226863*r**2/2 - 447174*r - 2270. Factor y(g).
3*(g - 273)**2*(g - 2)
Let y(z) be the first derivative of 2*z**5/25 + 4*z**4/5 + 22*z**3/15 - 4*z**2 + 3455. Factor y(o).
2*o*(o - 1)*(o + 4)*(o + 5)/5
Find u, given that -288/7 + 4/7*u**3 - 8*u**2 - 272/7*u = 0.
-2, 18
Let x be 1/(-9)*(9/42)/(-1). Let y(d) be the third derivative of 1/735*d**7 + 0*d**3 + 12*d**2 + 0 + 1/210*d**6 + 0*d - x*d**4 - 1/210*d**5. Factor y(c).
2*c*(c - 1)*(c + 1)*(c + 2)/7
Let a be 21/(-8) - (685/(-225) + (-62)/(-1395)). Factor -1/2*x + a*x**2 - 1/2.
(x - 2)*(3*x + 2)/8
Factor 2/9*q**2 + 2176/9*q + 2174/9.
2*(q + 1)*(q + 1087)/9
Let t(u) be the second derivative of -u**6/300 - 9*u**5/25 - 81*u**4/5 - 1944*u**3/5 - 51*u**2/2 + 20*u. Let f(m) be the first derivative of t(m). Factor f(k).
-2*(k + 18)**3/5
Suppose -3857*w - 6776*w - 488 = -26917 - 5470. Let 9/2*b**2 - 27/4*b + 3 - 3/4*b**w = 0. What is b?
1, 4
Factor -2402 - 434*z - 2998 - 382*z**2 + 113*z + 1213*z**2 + 3*z**4 - 96*z**3 - 309*z.
3*(z - 15)**2*(z - 4)*(z + 2)
Let u = -1256 + 1258. Let m be 14/u + 1064/(-168). Factor 0*j**3 + 0*j + 2/3*j**4 - 4/3*j**2 + m.
2*(j - 1)**2*(j + 1)**2/3
Suppose -3*p + 87 = m + 23, -5*p = 4*m - 116. Factor 44*g + 499*g**3 + p - 3*g**2 + 31*g**2 - 495*g**3.
4*(g + 1)**2*(g + 5)
Let x = 575 - 573. Determine t so that -6 - 6 - 3*t**x - 16*t - 2*t**2 - 4*t - 3 = 0.
-3, -1
Let r(k) = -3*k**3 + 120*k**2 - 110*k - 271. Let m be r(39). Let -2/11*p**5 + 38/11*p**4 - 38/11*p**m - 34/11*p**3 + 0 + 36/11*p = 0. What is p?
-1, 0, 1, 18
Let j(k) be the third derivative of 3/34*k**4 + 0 - 1/1020*k**6 - 7/510*k**5 + 0*k**3 + 0*k + 142*k**2. Find z, given that j(z) = 0.
-9, 0, 2
Factor 2186*y - 15 + 1783*y + 1627*y + 606*y + 1910*y**2 - 477*y.
5*(y + 3)*(382*y - 1)
Let c be -8 + 1170/81 - (-4)/(-9). Let 93 - 194 - c*x - 168*x**2 + 93 + 82*x = 0. What is x?
1/6, 2/7
Let o(m) be the second derivative of -m**7/63 + 35*m**6/9 - 7567*m**5/30 - 7919*m**4/18 + 7568*m**3/9 + 7744*m**2/3 + 7*m - 148. Suppose o(g) = 0. Calculate g.
-1, 1, 88
Suppose -1065 = 18243*m - 18314*m. Factor -10/3 + 10/3*r**2 - 15*r + m*r**3.
5*(r - 1)*(r + 1)*(9*r + 2)/3
Factor -5597*m + 2*m**4 + 468 + 5593*m - 2*m**4 - 114*m**3 + m**4 - 351*m**2.
(m - 117)*(m - 1)*(m + 2)**2
Let n(i) be the first derivative of -i**6/3 + 11*i**5/5 - 23*i**4/6 + 2*i**3 - 21*i - 57. Let o(k) be the first derivative of n(k). Factor o(b).
-2*b*(b - 3)*(b - 1)*(5*b - 2)
Suppose 860 - 452 = 68*y. Let l(t) be the third derivative of 0 - 3/140*t**y + 0*t**3 + 0*t**4 + 1/105*t**7 + 0*t + 1/105*t**5 - 14*t**2. What is x in l(x) = 0?
0, 2/7, 1
Let l be (-495)/(-10) - 2548/52. Determine i, given that -6*i**3 + i**2 - 4*i**4 + 13/2*i + 3 - l*i**5 = 0.
-6, -1, 1
Suppose 10612*x - 10544*x - 136 = 0. Factor 0 - 2/11*p**5 + 1/11*p**4 + 0*p + 0*p**x + 1/11*p**3.
-p**3*(p - 1)*(2*p + 1)/11
Suppose 5*w = w - 0*w. Let n be (-37)/((-1147)/310) + -8*1. Factor w + 18/7*h**3 - 6/7*h**n - 18/7*h + 6/7*h**4.
6*h*(h - 1)*(h + 1)*(h + 3)/7
Let g be 3 + 8035/(-7) + -7 + -2. Let k = g - -1155. Factor 4/7*a + 4/7*a**2 - k.
4*(a - 1)*(a + 2)/7
Let r(i) = 4*i**2 + 2*i - 9. Let d be r(7). Let o be (d/134)/(2/(-2) + 2). What is m in 0*m**3 - 1/2*m**4 - m + 0 + o*m**2 = 0?
-2, 0, 1
Let w be -45 - (-5643)/114 - -6. Factor -w + 2*o**2 + 83/2*o.
(o + 21)*(4*o - 1)/2
Let s(d) = 4*d**3 - 94*d**2 + 182*d - 90. Let m(w) = -w**3. Suppose -5 = 5*i - 0*i + 5*u, 31 = -4*i + 5*u. Let p(j) = i*m(j) - 2*s(j). What is q in p(q) = 0?
1, 45
Let x = 0 - -3. What is h in -h**3 - h**5 - h**x + 3*h**5 = 0?
-1, 0, 1
Let b be 8/10*55/(-22) + 5. Let d(j) be the first derivative of 2*j - 9 + 1/8*j**4 - j**2 - 1/6*j**b. Suppose d(t) = 0. Calculate t.
-2, 1, 2
Factor 159576*g**2 + 189*g - 353 - 223 - 159575*g**2.
(g - 3)*(g + 192)
Let v = 16456 + -16451. Let f(w) be the second derivative of 0 + 1/126*w**7 - 1/60*w**6 + 8*w + 0*w**2 + 1/72*w**4 + 0*w**3 + 0*w**v. Factor f(j).
j**2*(j - 1)**2*(2*j + 1)/6
Let q be -4*-3*(-1)/(-12). Suppose 2*g + q = 3*g - x, -3*g + x = -1. Factor -2*d**4 + g*d**4 + 13*d**3 - 9*d**2 - 7*d**3 - 6*d + 11*d**4.
3*d*(d - 1)*(d + 1)*(3*d + 2)
Let z(t) = -t**3 + 8*t**2 + 8*t + 12. Suppose -s + 2*i = -2*i + 11, 13 = 2*s - i. Let p be z(s). Factor 3*y - y**3 + 3*y**5 - y**p + 0*y**5 - 4*y**3.
3*y*(y - 1)**2*(y + 1)**2
Suppose 44 = -5*v - 3*m + 29, -v - 25 = 5*m. Let z(y) be the third derivative of 0*y**3 + 0*y - 1/48*y**4 + 7*y**2 + v + 1/120*y**5. Factor z(i).
i*(i - 1)/2
Let j = 528 - 516. Let i be (-2)/j + 2119/546. Let 12/7*n**3 + i*n**2 + 24/7*n + 2/7*n**4 + 8/7 = 0. What is n?
-2, -1
Let i be 32/18 - 5/180*-8. Suppose -i*y + 10 = -2*p, p + 10*y - 20 = 6*y. Factor -3/2*g**2 - 6*g**4 + 0*g + 15/2*g**3 + p.
-3*g**2*(g - 1)*(4*g - 1)/2
Let f(t) be the third derivative of -31*t**2 + 1/36*t**4 + 0 + 0*t**5 + 0*t**3 - 1/180*t**6 + 0*t. Determine x so that f(x) = 0.
-1, 0, 1
Let l = 203/3 + -217816/3219. Let x = 10741/11803 - l. Factor 2/11*c**5 + 0*c + 0 + 4/11*c**2 + x*c**3 + 8/11*c**4.
2*c**2*(c + 1)**2*(c + 2)/11
Let o(m) = -2253*m + 15774. Let k be o(7). Let s(p) be the first derivative of -31 + 0*p**2 + 2/3*p**k + 0*p. Determine a so that s(a) = 0.
0
Factor 640*z + 110954 - 55474 + 4*z**2 - 55480.
4*z*(z + 160)
Suppose -5*z - 2*v = 18, -44*z + 40*z - 3*v = 27. Factor -2/9 + 0*u**3 + z*u + 4/9*u**2 - 2/9*u**4.
-2*(u - 1)**2*(u + 1)**2/9
Let f = -96128 - -192257/2. Solve b + 0 + f*b**3 - 3/2*b**2 = 0.
0, 1, 2
Let z(t) be the second derivative of -t**6/6 - 43*t**5/4 - 425*t**4/2 - 2000*t**3/3 + 10000*t**2 + 2699*t. Factor z(g).
-5*(g - 2)*(g + 5)*(g + 20)**2
Let f = 165 + -169. Let a be (2 - f/(-1)) + (0 - -2). Determine p, given that 0*p + a - 3/5*p**3 - 6/5*p**2 = 0.
-2, 0
Let i(s) be the second derivative of s**4/4 - 64*s**3 + 381*s**2/2 + 11753*s. Let i(z) = 0. Calculate z.
1, 127
Let a = 41974 - 209866/5. What is l in -a*l**3 + 28/5*l + 0*l**2 - 24/5 = 0?
-3, 1, 2
Let r = -2/827595 - -827599/1655190. Factor 2/3*n + 2/3 - 1/3*n**3 - r*n**2 + 1/6*n**4.
(n - 2)**2*(n + 1)**2/6
Let k(l) be the second deriva