 + 1305*d + 290. Let u(g) = -145. Let o(s) = -a(s) - 2*u(s). Find j such that o(j) = 0.
-435, 0
Suppose 46349 = -79*g + 46586. Factor 6/5*m - 2/5*m**g + 4/5 + 0*m**2.
-2*(m - 2)*(m + 1)**2/5
Let m(r) = -r**4 + r**3 - r**2 - r + 1. Let u(z) = -2*z**5 + 12*z**4 - 2*z**3 - 78*z**2 + 58*z + 6. Let k(p) = -6*m(p) + u(p). Let k(v) = 0. What is v?
-2, 0, 1, 2, 8
Let j(u) be the first derivative of u**3/12 - 297*u**2/8 - 299*u/2 - 1582. Suppose j(s) = 0. What is s?
-2, 299
Let p(f) be the third derivative of 2*f**5/45 - 371*f**4/36 + 92*f**3/3 - 3030*f**2. Factor p(i).
2*(i - 92)*(4*i - 3)/3
Let c = 3134297/9 - 348249. Factor -64/9 + 56/9*l**2 - c*l - 2/3*l**3.
-2*(l - 8)*(l - 2)*(3*l + 2)/9
Factor -8*n**2 - n**3 + n**2 + 20*n + 6*n**3 - 13*n**2.
5*n*(n - 2)**2
Let z(l) = -l**2 - 2*l. Let j(s) = 29*s - 255. Let m be j(9). Let w(u) = -15*u**4 - 65*u**3 + 239*u**2 - 247*u + 70. Let q(g) = m*z(g) - w(g). Factor q(b).
5*(b - 1)**2*(b + 7)*(3*b - 2)
Let i(b) = 2*b**2 + 3*b**2 + b**2 - 5*b + 31 - 20. Let r(n) = -n**2 - 1. Let g(k) = 2*i(k) + 10*r(k). Factor g(x).
2*(x - 3)*(x - 2)
Let o be 104/273*37/((-5032)/(-238)). Factor 12*b**2 - 40/3*b + o*b**4 - 14/3*b**3 + 16/3.
2*(b - 2)**3*(b - 1)/3
Let x(q) be the second derivative of -q**4/60 + 17*q**3/10 + 26*q**2/5 + 316*q - 2. Factor x(h).
-(h - 52)*(h + 1)/5
Suppose 21 = 74*k - 67*k. Suppose -6*u - 17*u**2 + 3*u**k + 45943 - 45943 = 0. What is u?
-1/3, 0, 6
Let z(u) be the first derivative of -3*u**2 + 50 - 9*u + 3/2*u**4 + 3*u**3. Factor z(b).
3*(b - 1)*(b + 1)*(2*b + 3)
Let q(p) be the first derivative of 2*p**5/5 - 3*p**4/2 - 70*p**3/3 + 75*p**2 + 500*p - 2598. Factor q(g).
2*(g - 5)**2*(g + 2)*(g + 5)
Let m(u) = 1 + 0 + 10*u - 2*u**2 - 3 - 7*u. Let z be m(1). Let n(c) = c - 1. Let y(p) = 3*p**2 - 12*p + 9. Let l(g) = z*y(g) - 12*n(g). Factor l(r).
-3*(r - 1)*(r + 1)
Determine k so that 1536/11*k**2 - 393216/11*k + 33554432/11 - 2/11*k**3 = 0.
256
Factor 10*w**3 - 3*w**4 - 96*w**3 + 246*w**2 + w**4 - 44*w**2 - 114*w**2.
-2*w**2*(w - 1)*(w + 44)
Let z be 10 - (2717/260 - (9 + 390/(-50))). Factor -z*a + 1/2*a**3 - a**4 + 0 + a**2 + 1/4*a**5.
a*(a - 3)*(a - 1)**2*(a + 1)/4
Factor -10988/5*r + 15092018/5 + 2/5*r**2.
2*(r - 2747)**2/5
Determine u, given that 75*u**3 + 5*u - 39*u**2 + 14*u - 54*u**3 + u**4 - 2*u**4 = 0.
0, 1, 19
Let g(j) be the third derivative of j**7/210 - 19*j**6/120 + 23*j**5/20 + 19*j**4/24 - 35*j**3/3 - 679*j**2 + 3*j. Let g(u) = 0. What is u?
-1, 1, 5, 14
Suppose 0 = 5*g + 2 - 17. Find i, given that -40*i**g + 267 - 267 + 15*i**4 + 10*i + 15*i**2 = 0.
-1/3, 0, 1, 2
Let y = 18954 + -18950. What is q in 2/5*q**y + 6/5*q + 0 - 6/5*q**3 - 2/5*q**2 = 0?
-1, 0, 1, 3
Let g = -41917 - -41920. Let b = -1/9 - -11/18. Factor -b*w**2 - 1/2*w + 1/2*w**g + 1/2.
(w - 1)**2*(w + 1)/2
Let r(k) be the first derivative of -k**7/735 + k**6/210 - k**4/42 + k**3/21 + 29*k**2/2 + 85. Let i(m) be the second derivative of r(m). Factor i(a).
-2*(a - 1)**3*(a + 1)/7
Let b = 2876 - 43139/15. Let q(m) be the third derivative of 0*m**3 - m**4 + 0*m + 0 + b*m**5 + 26*m**2. Factor q(k).
4*k*(k - 6)
Let p(t) be the first derivative of 88/9*t**3 - 56/3*t**2 - 5/3*t**4 + 32/3*t + 7. Factor p(w).
-4*(w - 2)**2*(5*w - 2)/3
Let f be 96/(-432) + 47/9. Suppose -5*b - f*i = 10, 2*b - 6*b + i + 2 = 0. Factor 1/3*d**2 - 1/9*d**4 + 0*d + 2/9*d**3 + b.
-d**2*(d - 3)*(d + 1)/9
Let t(g) be the third derivative of g**6/180 - 617*g**5/15 + 380689*g**4/3 - 1879080904*g**3/9 + 2080*g**2. Factor t(l).
2*(l - 1234)**3/3
Suppose -2*t + 2*o = -174, 9*t + 2*o + 88 = 10*t. Let n = t - 84. Suppose 1/6 + 1/3*k**n - 1/2*k = 0. Calculate k.
1/2, 1
Let j(b) be the first derivative of b**6/24 - 3*b**5/10 + 7*b**4/16 + b**3/2 - b**2 - 975. Let j(z) = 0. What is z?
-1, 0, 1, 2, 4
Let n(z) = -22*z**2 - 5465*z + 3242. Let r be n(-249). Solve 27/11*s - 10/11 + 6/11*s**4 - 20/11*s**2 - 2/11*s**3 - 1/11*s**r = 0 for s.
-2, 1, 5
Suppose 3*s - 2 = 2*s. Let o be (-16)/(-7) + -2 - (-28 - -36)/(-56). Let 9/7*w**s + o + 12/7*w = 0. What is w?
-1, -1/3
Let j(a) = a**3 + a**2 - a + 3. Suppose -4*l - 1 = -17. Suppose 2*y = y + 7. Let g(v) = -2*v**3 - 2*v**2 + 2*v - 5. Let r(k) = l*g(k) + y*j(k). Factor r(f).
-(f - 1)*(f + 1)**2
Let v(l) be the third derivative of 0*l**3 + 0 + 5/12*l**4 - 1/8*l**5 + 0*l - 1/48*l**6 - 122*l**2. Find y such that v(y) = 0.
-4, 0, 1
Let h = 52 - 58. Let l(v) = -7*v**2 + 20*v + 5. Let o(x) = -x**2 + 3*x + 1. Let c(p) = h*o(p) + l(p). Factor c(i).
-(i - 1)**2
Suppose 3414*r - 3410*r = -b - 58, 0 = 4*r - 12 + 72. Determine o so that 26/3*o**4 - 2/3*o**3 + 0 - 2*o + 8/3*o**5 - 26/3*o**b = 0.
-3, -1, -1/4, 0, 1
Let w(r) be the first derivative of -2*r**5/15 + 7*r**4/3 + 32*r**3/3 + 50*r**2/3 + 34*r/3 + 244. Factor w(s).
-2*(s - 17)*(s + 1)**3/3
Let j = -1309 - -1314. Let c(d) be the third derivative of 0*d + 0*d**3 + 0*d**4 + 0 - 1/120*d**j + 1/240*d**6 - 4*d**2. Factor c(u).
u**2*(u - 1)/2
Suppose 0 = 75*j - 80 - 64 - 81. Suppose 9 + 10*f**2 + 1/2*f**j + 37/2*f = 0. What is f?
-18, -1
Let d(k) = -95 + 7*k + 15 - 40 - 20. Let u be d(20). Factor u*j + 0*j**2 + 0 - 1/3*j**4 + 0*j**3.
-j**4/3
Let x = -356 + 352. Let p(n) = -36*n + 30. Let k(w) = w**2 - 36*w + 26. Let a(g) = x*k(g) + 6*p(g). Solve a(v) = 0 for v.
-19, 1
Suppose 0 = 2*a + 2*a + 20, 3*a = -2*s + 7. Suppose 0 = -23*h + 18*h - 2*k + 21, 2*k = 6. Solve s*v**3 + 10*v**h - 24*v**3 = 0 for v.
0
Let h = -13521 - -13559. Let j(w) be the first derivative of 5/9*w**3 + 1/3*w**2 + h + 1/12*w**4 + 0*w - 2/15*w**5. Solve j(g) = 0.
-1, -1/2, 0, 2
Factor -1200/7*p - 4/7*p**3 + 120/7*p**2 + 4000/7.
-4*(p - 10)**3/7
Let o = -14132/5 - -2695. Let y = o - -132. Factor 6/5 + y*j**2 + 9/5*j.
3*(j + 1)*(j + 2)/5
Let z = 1004 - 1465. Let n = 463 + z. Determine k, given that 0 - 4/21*k + 2/7*k**n + 2/21*k**5 + 2/21*k**3 - 2/7*k**4 = 0.
-1, 0, 1, 2
Let t(h) = -80*h**2 - 312*h + 34. Let d be t(-4). Factor -4 + 1/5*g**3 + 11/5*g + 8/5*g**d.
(g - 1)*(g + 4)*(g + 5)/5
Suppose -75*x + 71*x - k + 7 = 0, -2*k - 19 = -3*x. Let y(w) be the first derivative of 0*w**2 + 2/45*w**x + 0*w - 9. Solve y(r) = 0 for r.
0
Suppose -h = -5*v + 36, 8351*v = 8349*v - 5*h - 72. Let 2/7 - 6/7*w + 2/7*w**5 + 4/7*w**2 + 4/7*w**3 - 6/7*w**v = 0. What is w?
-1, 1
Let m(y) be the third derivative of y**6/324 + 7*y**5/270 - y**4/36 + 82*y**3/3 + 10*y**2 + 5*y. Let h(i) be the first derivative of m(i). Factor h(c).
2*(c + 3)*(5*c - 1)/9
What is k in 238*k - 2*k**2 - 7864578 + 36*k + 368*k + 4130*k + 3160*k = 0?
1983
Let y(f) be the first derivative of -f**4/6 - 940*f**3/9 + 157*f**2 + 2445. Determine b so that y(b) = 0.
-471, 0, 1
Let c(r) = r**2 - 171*r - 1307. Let h(g) = 176*g + 1308. Let b(n) = 4*c(n) + 5*h(n). Solve b(a) = 0 for a.
-41, -8
Find q such that 324/5*q + 1/5*q**2 - 65 = 0.
-325, 1
Let v(u) be the third derivative of 2*u**7/105 - 13*u**6/30 - u**5/15 + 13*u**4/6 + 1135*u**2. Let v(m) = 0. Calculate m.
-1, 0, 1, 13
Let m = -811 - -779. Let w be 1 + 1 + 0 + m/28. Suppose -6/7*u**4 + 27/7*u**5 - 27/7*u**3 + 0*u + 0 + w*u**2 = 0. What is u?
-1, 0, 2/9, 1
Let r(y) be the third derivative of -y**5/20 - 3*y**4/4 + 7*y**3/2 + y**2 - 594. Factor r(z).
-3*(z - 1)*(z + 7)
Let t = 289451 - 289449. Suppose 9/7*j**3 + 3/7*j + 0 + 9/7*j**t + 3/7*j**4 = 0. What is j?
-1, 0
Let k(b) be the second derivative of b**4/24 - 5*b**3/6 - 75*b**2/4 - 233*b + 2. Factor k(y).
(y - 15)*(y + 5)/2
Let k = 122842 - 122840. Suppose 0 - 40*f**k + 80/3*f - 5/3*f**4 + 15*f**3 = 0. What is f?
0, 1, 4
Let q(o) = -11*o + 21. Let m be q(0). Let t be ((-12)/1)/(m/(-2)). Find v, given that -4/7 + 6/7*v**3 - 2/7*v + t*v**2 = 0.
-1, 2/3
Let m = 579 - 579. Let n(j) be the first derivative of -1/9*j**6 + 0*j + m*j**2 + 2/15*j**5 + 6 + 0*j**4 + 0*j**3. Factor n(x).
-2*x**4*(x - 1)/3
Let v(r) be the third derivative of -4107*r**7/350 - 8399*r**6/100 - 53749*r**5/300 - 227*r**4/6 - 10*r**3/3 + 2622*r**2. Find x, given that v(x) = 0.
-2, -5/111
Let i be (1071/35 - 8/32*36)/1. Factor 4/5*n**3 + 0*n**2 - i*n + 216/5.
4*(n - 3)**2*(n + 6)/5
Let k(j) = -2*j - 9. Let n be k(-17). Let z = n - 22. Factor 27/2 - 1/2*o**z + 9/2*o**2 - 27/2*o.
-(o - 3)**3/2
Let z(x) = x**3 + 18*x**2 + 3*x - 235. Let w be z(-17). Factor 0*d - 16/7*d**4 + 44/7*d**w + 0 - 10/7*d**2.
-2*d**2*(2*