/9, 0
Factor -178/3*b - 10*b**3 - 25 - 1/3*b**4 - 44*b**2.
-(b + 1)**2*(b + 3)*(b + 25)/3
Find j, given that -94/5*j**2 + 2/5*j**3 + 1302/5*j - 882 = 0.
5, 21
Factor -18*v**3 - 15 - 68*v**3 + 31*v**3 - 135*v**2 - 20*v + 75.
-5*(v + 1)*(v + 2)*(11*v - 6)
Let n(v) be the first derivative of -3*v**5/40 - 13*v**4/12 - 5*v**3/4 + 2*v**2 - 198*v + 82. Let d(l) be the first derivative of n(l). Factor d(a).
-(a + 1)*(a + 8)*(3*a - 1)/2
Let z(h) be the third derivative of -h**8/112 - 9*h**7/70 - 9*h**6/20 + 3*h**2 - 662*h - 2. Let z(i) = 0. Calculate i.
-6, -3, 0
Let z = -535/231 - -204/77. Let t(b) be the first derivative of 3/2*b**2 + z*b**3 + 14 + 0*b. Solve t(j) = 0.
-3, 0
Let r(g) be the first derivative of -10*g**2 - 110 + 8*g - g**4 + 16/3*g**3. Solve r(l) = 0.
1, 2
Let l = 21/8 + -59/24. Let n = 400895/138 - 66812/23. Solve -n*q**3 - 2/3 + l*q**2 + 2/3*q = 0 for q.
-2, 1, 2
Let l(w) be the second derivative of -w**8/2800 - 3*w**7/700 - w**6/50 - w**5/25 - 25*w**3/6 - 9*w + 1. Let y(r) be the second derivative of l(r). Factor y(q).
-3*q*(q + 2)**3/5
Let y = -633 - -638. Factor 0*j**2 + 32*j + 4*j**2 + 3*j**4 + y*j**3 - 43*j**3 - 7*j**4 + 6*j**3.
-4*j*(j - 1)*(j + 1)*(j + 8)
Let v(p) = 10*p**3 + 65*p**2 - 36*p + 7. Let a(c) = -7*c**3 - 47*c**2 + 24*c - 5. Let d(w) = -7*a(w) - 5*v(w). Suppose d(i) = 0. What is i?
-2, 0, 6
Let d(t) be the first derivative of 5*t**4/4 + 415*t**3/3 - 425*t**2 - 9905. Factor d(k).
5*k*(k - 2)*(k + 85)
Let h(d) be the second derivative of d**4/24 - 8*d**3/3 + 31*d**2/4 + 1131*d. Factor h(v).
(v - 31)*(v - 1)/2
Let q = 77016 - 151223/2. Let p = 1406 - q. Solve 33/2*x**2 + 105/2*x + p*x**3 + 75/2 = 0.
-5, -1
Let u(q) be the third derivative of -q**6/240 + 37*q**5/60 - 30*q**4 + 216*q**3 + 11*q**2 + 9*q - 2. Find y such that u(y) = 0.
2, 36
Let m = 4929/9850 + -2/4925. Suppose 41/2*q**3 - 35/2*q**5 + 0 - 3*q - m*q**4 + 1/2*q**2 = 0. What is q?
-1, -3/7, 0, 2/5, 1
Let p be 4 - (-6)/(-5) - ((-1440)/2700 + (-2)/(-6)). Factor -2/3*y**2 - 1/3*y**p + 0 + y.
-y*(y - 1)*(y + 3)/3
Let g = -35 - -46. Let y = -7 + 22. Suppose -g*s**3 + 178 + s**3 - y*s**2 - 178 + 5*s**4 = 0. What is s?
-1, 0, 3
Let x(j) be the third derivative of j**5/420 + 8*j**4/21 + 3*j**3/2 - 3463*j**2. Factor x(s).
(s + 1)*(s + 63)/7
Suppose 0 + 82/15*n**3 + 2/15*n**4 - 352/15*n - 272/15*n**2 = 0. What is n?
-44, -1, 0, 4
Let n be (14 + -14)/(-3 + 6). Let u(k) be the third derivative of 0*k + 9*k**2 + 7/200*k**6 + 2/175*k**7 + 0*k**3 + n*k**4 - 1/50*k**5 + 0. Factor u(t).
3*t**2*(t + 2)*(4*t - 1)/5
Let 0*p**5 + 12*p**2 - 12 - 19*p**3 + 14*p - 26*p**5 + 28*p**5 + 3*p**3 = 0. What is p?
-3, -1, 1, 2
Let x(b) = 7*b**4 - 97*b**3 + 262*b**2 - 187*b + 5. Let c(f) = 20*f**4 - 286*f**3 + 786*f**2 - 562*f + 14. Let m(z) = 5*c(z) - 14*x(z). Factor m(d).
2*d*(d - 32)*(d - 3)*(d - 1)
Let m(j) = -2*j**3 + 140*j**2 + 289*j - 63. Let f be m(72). Factor -6*p - 5/2*p**3 + 4 - f*p**2.
-(p + 2)**2*(5*p - 2)/2
Let p be (-10 + 14)/(178 - 158). Suppose -79507/5 - 129/5*u**2 + p*u**3 + 5547/5*u = 0. What is u?
43
Let z(j) = -2*j**4 + 4*j**3 + 14*j - 7. Let o(v) = v**4 - 2*v**3 - v**2 - 2*v + 1. Let t(k) = 15*o(k) + 5*z(k). Suppose t(p) = 0. What is p?
-2, 1, 2
Let f(z) = -16*z**2 - 16*z. Let h(n) = -n**2 + 1. Let c(x) = -14*x + 21 + 25 + 9*x + 10*x. Let p be c(-9). Let t(j) = p*f(j) + 12*h(j). Solve t(l) = 0 for l.
-1, 3/7
Let g = -102/22853 + 93350/434207. Suppose 0 - 2/19*f**5 - g*f**4 + 0*f**2 - 2/19*f**3 + 0*f = 0. What is f?
-1, 0
Solve 43*d**5 - 21*d**2 + 26*d**5 - 70*d**5 + 11*d**3 - 5*d**2 - 64*d + 5*d**4 - d**4 - 32 = 0 for d.
-2, -1, 4
Let o(j) be the third derivative of j**9/18144 - j**8/5040 + j**6/1080 - j**5/720 + 11*j**3 + 28*j**2. Let w(p) be the first derivative of o(p). Factor w(l).
l*(l - 1)**3*(l + 1)/6
Let k be (214/(-2247))/(-5 - 956/(-192)). Suppose -24/7*g + k + 4/7*g**2 = 0. Calculate g.
2, 4
Let p(q) = -q**3 - 20*q**2 + 94*q - 46. Let m = -1497 - -1473. Let z be p(m). Suppose 2/3*v - 1/3 + v**z = 0. Calculate v.
-1, 1/3
Let c(u) = -3*u**2 - 193*u + 944. Let h(i) = -11*i**2 - 579*i + 2834. Let l(m) = 14*c(m) - 4*h(m). Factor l(q).
2*(q - 188)*(q - 5)
Let j(z) be the second derivative of z**5/4 - 5*z**4/4 - 175*z**3/3 + 2*z - 221. Determine d, given that j(d) = 0.
-7, 0, 10
Suppose 1248/11*v + 896/11*v**2 + 272/11*v**3 - 2/11*v**5 + 640/11 + 24/11*v**4 = 0. What is v?
-2, 20
Let v(t) = -16*t**3 - 1328*t**2 + 3048*t - 680. Let f(r) = r**2 + r. Let d(w) = -4*f(w) - v(w). What is c in d(c) = 0?
-85, 1/4, 2
Let j(f) be the first derivative of -f**4/5 + 4876*f**3/15 + 4882*f**2/5 + 4884*f/5 + 2634. Factor j(g).
-4*(g - 1221)*(g + 1)**2/5
Let s(b) be the third derivative of -b**5/12 + 335*b**4/3 - 2675*b**3/6 + 75*b**2 + 25*b. Factor s(p).
-5*(p - 535)*(p - 1)
Let w(j) be the first derivative of 16/5*j**5 + 0*j - 1/3*j**6 - 5*j**2 - 9*j**4 + 32/3*j**3 + 319. Let w(b) = 0. What is b?
0, 1, 5
Let x(j) be the third derivative of -j**7/42 - 3*j**6/4 - 15*j**5/4 + 5*j**4/6 + 50*j**3 + 6*j**2 + 193. What is t in x(t) = 0?
-15, -2, 1
Suppose 4*s - 4 = 12. Let f be s + (-2 - 0 - -5 - 5). Determine a so that -167*a**f - 44 + 171*a**2 + 0 + 40*a = 0.
-11, 1
Let r(c) be the third derivative of -c**8/1512 - 2*c**7/315 + 13*c**6/90 - 86*c**5/135 - 7*c**4/36 + 26*c**3/3 - c**2 - 1380*c. Suppose r(d) = 0. Calculate d.
-13, -1, 2, 3
Suppose 20*f = 248*f. Let z(y) be the second derivative of -2/21*y**7 - 2*y + f - 7/3*y**4 - 4/3*y**3 + 0*y**2 - 9/5*y**5 - 2/3*y**6. Factor z(d).
-4*d*(d + 1)**3*(d + 2)
Let y(o) = 120*o**2 + 216*o + 51. Let z(r) = -118*r**2 - 213*r - 42. Let k(g) = -8*y(g) - 9*z(g). Determine b so that k(b) = 0.
-2, 5/34
Let t be ((-80)/(-9) - -2)*3210/4280. Suppose 0*s - t*s**2 + 1/6*s**5 - 5/2*s**4 + 0 + 21/2*s**3 = 0. What is s?
0, 1, 7
Let f(c) be the first derivative of 2*c**3/21 + 6130*c**2/7 + 18788450*c/7 - 4209. Suppose f(d) = 0. What is d?
-3065
Determine u so that -18*u**2 - 824*u**5 - 811*u**5 - 808*u**5 + 2*u**4 + 22*u**3 - 36*u + 2441*u**5 = 0.
-3, -1, 0, 2, 3
Let b(y) be the third derivative of 11*y**5/75 + 49*y**4/60 + 2*y**3/3 + 11*y**2 + 61*y - 3. Factor b(w).
2*(w + 2)*(22*w + 5)/5
Let s be (15 + -25)/((-225)/90). Factor 3/4*n**s - 9/2*n**3 - 27/2*n + 0 - 75/4*n**2.
3*n*(n - 9)*(n + 1)*(n + 2)/4
Let o = 319088/66435 + -40/13287. Let -2/5*p**2 - 72/5 - o*p = 0. Calculate p.
-6
Let g(i) be the second derivative of i**6/30 + i**5/4 - 7*i**4/3 - 10*i**3/3 + 48*i**2 + 4*i + 18. What is v in g(v) = 0?
-8, -2, 2, 3
Let j(w) = w**3 + 7*w**2 - 9*w - 95. Let y be j(-6). Let c = y + 7. What is n in 3/2*n**3 - 3 - 6*n - 9/4*n**c + 3/4*n**4 = 0?
-2, -1, 2
Let c(j) = 2*j + 2. Let u be c(0). Suppose 0 = u*v + 3*s - 7, v + 2*v - 1 = 5*s. Factor -m**3 + 3*m**3 - m**3 + 9*m**4 - 7*m**4 - v*m**2 - m**5.
-m**2*(m - 2)*(m - 1)*(m + 1)
Let f(u) = 439*u + 94. Let n be f(2). Let c = -4858/5 + n. What is i in c*i**3 + 0*i**4 + 0 - 2/5*i**5 + 0*i**2 + 0*i = 0?
-1, 0, 1
Let y be (-16 + 18)*3/1. Let u be (-5 + 3)*(-9)/y. Factor 6 - 21*i**u - 6*i**2 + 17*i + 8*i - 4*i.
-3*(i - 1)*(i + 1)*(7*i + 2)
Let i(h) = -2*h - 30. Let d be i(-16). Factor -3*y**5 + y**5 - 3*y**4 - 9*y**d - 21*y**3 - y**5 - 12*y**4.
-3*y**2*(y + 1)**2*(y + 3)
Let k = -403037 + 806077/2. Factor 3*n**2 + 0*n + 0 - k*n**3.
-3*n**2*(n - 2)/2
Let s be ((-6)/21)/(52/(-40) - 18/(-60)). Find a such that 0 + 0*a - s*a**2 = 0.
0
Suppose 5*o + d - 107 = o, 5*d = -5. Factor 8*z**2 - 1 - 7 - 1 - 28*z - o.
4*(z + 1)*(2*z - 9)
Factor 0*l + 1/3*l**4 + 0 - 121/3*l**3 - 122/3*l**2.
l**2*(l - 122)*(l + 1)/3
Suppose -156*l - 470/3 + 2/3*l**2 = 0. What is l?
-1, 235
Let z = -35 - -26. Let s be (z + 14)*(0 - -3). What is o in -3*o - 8*o**2 + o**2 - s*o**3 - 7*o**2 - 4*o**2 = 0?
-1, -1/5, 0
Factor -3/5*o**3 + 3/5*o - 54/5 + 54/5*o**2.
-3*(o - 18)*(o - 1)*(o + 1)/5
Let p = 293 + -290. Factor 11*m**3 + 13*m**p + 2*m**5 + 2*m**5 + 4*m**2 - 28*m**3 - 4*m**4.
4*m**2*(m - 1)**2*(m + 1)
Let s = -1457491 - -1457493. Factor -2/9*j**s - 34/9*j - 32/9.
-2*(j + 1)*(j + 16)/9
Let w(l) be the first derivative of -l**4/4 + 2*l**3 + 2*l + 14. Let k be w(6). Let 7*g**k + 3*g**5 - 10*g**2 - 9*g**4 + 0*g**3 + 9*g**3 = 0. What is g?
0, 1
Let g(k) be the first derivative of -k**3/9 + 185*k**2/6 + 374*k/3 + 1444. What is r in g(r) = 0?
-2, 187
Det