ve of -r**2 - 169/24*r**4 + v - 13/3*r**3 + 46*r. Factor w(q).
-(13*q + 2)**2/2
Let d(n) = 10*n**2 + 26*n - 4. Let r(m) = 2*m**2 - 2*m - 1. Let v(u) = -d(u) + 4*r(u). Factor v(o).
-2*o*(o + 17)
Let l(a) be the third derivative of -26*a**2 - 1/8*a**6 + 1/70*a**7 + a**3 + 0 + a - 7/8*a**4 + 9/20*a**5. Suppose l(b) = 0. What is b?
1, 2
Let p(n) = 35*n - 198. Let r be p(6). Determine a so that r*a - 1 + 1 + 11 - 2*a**2 + 2*a**2 + a**2 = 0.
-11, -1
Let r = -18697 + 18700. Let m(j) be the second derivative of -1/9*j**r + 0 + 0*j**2 - 1/18*j**5 + 7/54*j**4 + 22*j + 1/135*j**6. Factor m(q).
2*q*(q - 3)*(q - 1)**2/9
Let p be (-385)/(-22)*((-58)/(-7) + -8). Let g(r) be the third derivative of -16/3*r**4 + 0 + r**2 - 8/3*r**3 + 0*r - 3*r**p + 27/10*r**6. Factor g(u).
4*(u - 1)*(9*u + 2)**2
Let p(a) be the first derivative of 2/11*a**2 - 2/11*a**3 - 26 + 6/55*a**5 - 1/33*a**6 - 1/22*a**4 + 0*a. Suppose p(l) = 0. What is l?
-1, 0, 1, 2
Find g, given that -45 - 33/2*g - 1/2*g**2 = 0.
-30, -3
Let 89/2*b + 179/4*b**2 + 1/4*b**3 + 0 = 0. What is b?
-178, -1, 0
Find d such that 2914/7*d + 2122849/7 + 1/7*d**2 = 0.
-1457
Solve -484*b + 34*b**4 - 397*b**3 - b**5 + 1965*b**2 - 2889*b**2 + 8*b**4 = 0.
-1, 0, 22
Let d(i) be the third derivative of 1/12*i**5 + 0 - 216*i**2 - 1/120*i**6 - 1/210*i**7 + 0*i**3 + 0*i - 1/8*i**4. Factor d(w).
-w*(w - 1)**2*(w + 3)
Let h(m) = 15*m**2 - 63*m + 21. Let n(z) = -45*z**2 + 190*z - 64. Let l = 0 + 3. Let i(v) = l*n(v) + 8*h(v). Factor i(u).
-3*(u - 4)*(5*u - 2)
Let a(u) be the third derivative of u**5/180 - 467*u**4/36 + 311*u**3/6 + 754*u**2 + 2. Solve a(y) = 0.
1, 933
Let u be 5 + -14 + 578/64. Let w(y) be the third derivative of -u*y**4 + 0*y - 1/24*y**3 + 0 + 2*y**2 - 1/80*y**5 - 1/480*y**6. Determine g so that w(g) = 0.
-1
Suppose -2/3*f**4 - 2*f**3 + 20/3*f**2 + 0 + 16*f = 0. What is f?
-4, -2, 0, 3
Suppose 0 = -5*w + 12*s - 9*s + 22, -3*w + 4*s + 22 = 0. Let -6/5*t - 3/5*t**3 + 9/5*t**w + 0 = 0. Calculate t.
0, 1, 2
Let -53/3*b - 1/3*b**5 - 14*b**3 + 11/3*b**4 + 70/3*b**2 + 5 = 0. Calculate b.
1, 3, 5
Let g be (-6 - -3)/(4/(-4)). What is z in -240*z**4 - 3*z**3 - 240*z**4 + g*z**5 + 477*z**4 + 3*z**2 = 0?
-1, 0, 1
Let h(t) = t**2 - 2*t - 2. Let g(m) = m - 220 - 192 + 444 - 7*m**2 + 12*m. Let y(o) = -g(o) - 6*h(o). Factor y(n).
(n - 5)*(n + 4)
Let k = 7417 - 7413. Let t(d) be the second derivative of 0*d**2 - 14/15*d**6 + 0 - 11/3*d**k + 27*d - 4/3*d**3 - 16/5*d**5. Let t(m) = 0. What is m?
-1, -2/7, 0
Let n(h) = -840*h + 165*h**2 - 218*h**3 + 377 - 230*h**3 + 463*h**3 + 515. Let k(q) = -5*q**3 - 55*q**2 + 280*q - 297. Let t(v) = -8*k(v) - 3*n(v). Factor t(f).
-5*(f - 2)**2*(f + 15)
Let 75/7*y**2 + 177147/7 - 7290/7*y = 0. What is y?
243/5
Let w = -4/2763 + -1676216/2763. Let y = 607 + w. Factor 3 - 2*v + y*v**2.
(v - 3)**2/3
Let t(c) be the second derivative of -c**7/126 - 8*c**6/45 - 11*c**5/15 + 89*c**4/18 + 5*c**3/2 - 27*c**2 - 241*c. Suppose t(x) = 0. Calculate x.
-9, -1, 1, 2
Let s = 21329/6 + -149291/42. Factor -2/7*d - 6/7 + s*d**3 + 6/7*d**2.
2*(d - 1)*(d + 1)*(d + 3)/7
Find d, given that 9*d**2 + 39/8*d**4 - 55/4*d**3 - 1/8*d**5 + 0*d + 0 = 0.
0, 1, 2, 36
Let 507*m + 464*m - 3*m**2 - 845*m - 123 = 0. What is m?
1, 41
Let p(i) = 180*i**5 - 507*i**4 + 126*i**3 + 468*i**2 - 321*i + 39. Let o(r) = -2*r**3 - r**2 - 3*r + 1. Let a(v) = -3*o(v) + p(v). Let a(n) = 0. What is n?
-1, 3/20, 2/3, 1, 2
Let b(r) be the third derivative of -4*r**7/105 + 193*r**6/30 + 494*r**5/15 + 101*r**4/6 - 132*r**3 + 3637*r**2. Solve b(q) = 0.
-2, -1, 1/2, 99
Let q = 9433 + -84889/9. Factor -14/9*p - q*p**2 + 4/9.
-2*(p + 2)*(4*p - 1)/9
Let 258/7*a**2 - 103/7*a**3 + 120/7 - 292/7*a - 1/7*a**5 + 18/7*a**4 = 0. What is a?
1, 2, 3, 10
Let h(v) be the second derivative of -2 + 4*v + 1/36*v**4 + 1/6*v**3 - 1/180*v**5 - 16*v**2. Let i(s) be the first derivative of h(s). Factor i(f).
-(f - 3)*(f + 1)/3
Let t be 1760/(-400)*(4 + 994/(-231)). Factor 2/3 + t*d + 2/3*d**2.
2*(d + 1)**2/3
Let l(w) be the first derivative of w**4/36 - w**3/6 + w**2/3 + 9*w - 48. Let b(o) be the first derivative of l(o). Solve b(n) = 0.
1, 2
Suppose -5*g = 3*x - 19, 23 = 5*x - g + 5*g. Solve 4*p**5 + 217 + 250 - 264*p**x + 34*p**2 + 804*p + 48*p**4 - 114*p**2 + 109 = 0.
-16, -1, 3
Let t(q) = 2*q + 74. Let s be t(-36). Let c(f) be the first derivative of -3/7*f**s - 8/21*f**3 + 5 + 0*f - 1/14*f**4. Factor c(b).
-2*b*(b + 1)*(b + 3)/7
Let q(d) = -1. Let b(j) = 17*j**2 - 11*j**2 + 8 - 7*j - 5*j**2. Let u(v) = b(v) + 2*q(v). Find t such that u(t) = 0.
1, 6
Let j(m) = 4*m**2 - 127*m + 808. Let y be j(23). Factor -4/5*z**y + 1444/5 + 156/5*z**2 - 1596/5*z.
-4*(z - 19)**2*(z - 1)/5
Let j(a) be the third derivative of -a**7/70 + 2*a**6/5 - 22*a**5/5 + 24*a**4 - 72*a**3 - a**2 + 166. What is c in j(c) = 0?
2, 6
Factor 460*h - 57 + h**3 - 5*h**2 + 1 - 492*h + 20.
(h - 9)*(h + 2)**2
Factor -5 + 38*k - 15/4*k**2.
-(k - 10)*(15*k - 2)/4
Let w be (-1)/(-5) - (55278/30)/3. Let u = -342 - w. Suppose 9 - u*g + 142*g + 3*g**2 + 142*g = 0. Calculate g.
-3, -1
Let i(v) = 620*v + 3104. Let y be i(-5). Let n(b) be the first derivative of 3*b**3 - 1 + 1/10*b**5 + 5*b**2 + 7/8*b**4 + y*b. Factor n(h).
(h + 1)*(h + 2)**3/2
Let q(g) be the first derivative of g**4/18 - 100*g**3/27 + 188*g**2/9 - 368*g/9 - 1596. Factor q(s).
2*(s - 46)*(s - 2)**2/9
Let n(z) be the second derivative of 0*z**2 - 17*z + 0*z**3 + 3/4*z**5 - 2/5*z**6 - 1/2*z**4 + 0 + 1/14*z**7. Determine l so that n(l) = 0.
0, 1, 2
Let t = 28 - 20. Let u(s) = s**3 + s**2 - 2*s + 8. Let w be u(-2). Solve t*g + 9 - 2*g**2 - 1 + w - 6 = 0.
-1, 5
Let b(s) = 38*s**3 + 36*s**2 - 150*s - 48. Let a(n) = -74*n**3 - 72*n**2 + 302*n + 96. Let t(v) = -5*a(v) - 9*b(v). Factor t(w).
4*(w - 2)*(w + 3)*(7*w + 2)
Suppose 17/3*l + 0 + 1/9*l**2 = 0. What is l?
-51, 0
Let w = 9437 + -9433. Let c(r) be the first derivative of -1/3*r**2 + 14/3*r - 11 - 14/9*r**3 + 1/6*r**w. Solve c(x) = 0.
-1, 1, 7
Let a = 343 + -343. Let c be (a - (-9)/(-2)) + 132 + -127. Factor c*l**2 - 1/2*l**4 + l**3 - l + 0.
-l*(l - 2)*(l - 1)*(l + 1)/2
Let q(w) be the first derivative of w**6/480 - 3*w**5/16 + 29*w**4/32 + 172*w**3/3 + 100. Let n(c) be the third derivative of q(c). Find d such that n(d) = 0.
1, 29
Let o(q) be the first derivative of q**3/4 - 12*q**2 + 405*q/4 - 2041. Factor o(j).
3*(j - 27)*(j - 5)/4
Let w = -46422 + 77766. Factor w + 2*n**2 + 2*n - 31338 + 6*n.
2*(n + 1)*(n + 3)
Let z(v) be the first derivative of -42 + 9/2*v**2 - 7*v - 1/4*v**4 - v**3. Let g(y) be the first derivative of z(y). What is t in g(t) = 0?
-3, 1
Factor 654*l - 6083*l + 4710 + 722*l - 3*l**2.
-3*(l - 1)*(l + 1570)
Let h(r) be the first derivative of -r**5/35 - 6*r**4/7 - 130*r**3/21 - 96*r**2/7 - 85*r/7 + 3927. Solve h(j) = 0 for j.
-17, -5, -1
Let p(w) be the second derivative of 55 - 1/60*w**6 + 1/6*w**3 + 1/24*w**4 - 1/20*w**5 + 0*w**2 + 2*w. Determine c so that p(c) = 0.
-2, -1, 0, 1
Let d be 2/(6 + 364/(-65)). Suppose 0 = 2*a - 4*r - 8, 4*r = -4*a + 5*r + 16. Find j, given that -3*j + a*j**2 - 5*j**2 - d - 3*j = 0.
-5, -1
Let w(m) be the second derivative of 0*m**3 + 29*m - 1/100*m**5 + 0 - 1/20*m**4 + 1/50*m**6 + 1/210*m**7 + 0*m**2. Solve w(n) = 0 for n.
-3, -1, 0, 1
Factor 272 + 2446/9*s - 2/9*s**2.
-2*(s - 1224)*(s + 1)/9
Factor 135 + 4378*h - 2135*h - 5*h**3 + 25*h**2 - 2078*h.
-5*(h - 9)*(h + 1)*(h + 3)
Let q(p) be the third derivative of -p**5/210 + 37*p**4/84 + 38*p**3/21 - 6*p**2 - 1. Suppose q(w) = 0. Calculate w.
-1, 38
Let u = -465 - -467. Determine n so that 0*n**5 + 11*n**3 - 10*n**2 + u*n**5 + 2*n**4 + 8*n - 4 - 21*n**3 + 12 = 0.
-2, -1, 1, 2
Let f = -6525989/60 + 108769. Let i = f + -11/12. Solve -i*z**5 + 0*z**2 + 4/5*z**3 + 0 + 0*z + 4/5*z**4 = 0.
-1/2, 0, 1
Let n(a) be the first derivative of -15*a**4/2 + 98*a**3/3 - 28*a**2 - 40*a - 2841. Determine s so that n(s) = 0.
-2/5, 5/3, 2
Let r(l) be the third derivative of -l**7/105 - 3*l**6/20 - 13*l**5/15 - 2*l**4 + 1868*l**2. Determine x, given that r(x) = 0.
-4, -3, -2, 0
Let y be ((-72)/16)/(198/(-24) - -6). Let k(m) be the first derivative of -4*m - 3*m**y - 2/3*m**3 + 10. Determine z, given that k(z) = 0.
-2, -1
Let c(m) be the first derivative of -5/6*m**4 + 132 + 2/15*m**5 + 16/9*m**3 - 4/3*m**2 + 0*m. Determ