Let j be ((-70)/(-7))/y - (-10)/(-9). Let 2/3*b - j + 2/9*b**2 = 0. What is b?
-4, 1
Let h(r) = 2*r**3 - 18*r**2 - 82*r. Let i(b) = 19*b**3 - 181*b**2 - 819*b. Let d(w) = 21*h(w) - 2*i(w). Factor d(u).
4*u*(u - 7)*(u + 3)
Let f = 328955/3 - 109649. Solve f - 16/9*i**2 - 4/9*i - 4/9*i**3 = 0.
-3, -2, 1
Let n(x) = 3*x**4 - 31*x**3 + 71*x**2 - 39*x - 4. Let j(m) = -3*m**4 + 33*m**3 - 72*m**2 + 36*m + 6. Let u(v) = -2*j(v) - 3*n(v). Factor u(w).
-3*w*(w - 5)*(w - 3)*(w - 1)
Factor -1/3*w**2 - 322/3 - 163/3*w.
-(w + 2)*(w + 161)/3
Let l(t) = 15*t**2 + 1545*t - 3155. Let f(q) = -8*q**2 - 773*q + 1581. Let s(p) = -5*f(p) - 3*l(p). Solve s(k) = 0.
-156, 2
Factor -96*x + 215*x + 337*x - 31130*x**3 - 164*x**2 + 31134*x**3.
4*x*(x - 38)*(x - 3)
Let v(m) be the second derivative of 3*m**5/20 + 57*m**4/4 + 540*m**3 + 10206*m**2 + 4604*m. Solve v(i) = 0.
-21, -18
Let l(f) be the second derivative of f**4/30 - 103*f**3/5 - 62*f**2 + 902*f. Factor l(n).
2*(n - 310)*(n + 1)/5
Let p(z) be the third derivative of -z**6/40 + 12*z**5/5 - 525*z**4/8 + 833*z**3 - 4108*z**2. What is d in p(d) = 0?
7, 34
Let g be (-940)/30*(-6)/14*42/12. Let d(b) be the first derivative of g + 1/24*b**6 + 1/12*b**3 - 1/20*b**5 - 1/16*b**4 + 0*b + 0*b**2. Factor d(x).
x**2*(x - 1)**2*(x + 1)/4
Let u(p) be the third derivative of -p**7/840 - 7*p**6/240 - p**5/5 + 7*p**4/48 + 49*p**3/24 + 58*p**2. Determine x so that u(x) = 0.
-7, -1, 1
Let w be (-2)/8 - ((-396)/(-16))/(-11). Let c be (-198)/(-72) + w/8. Factor 4*j**2 - 4*j**4 - j**5 - 23*j**3 - 5*j + 24*j**c + 5*j.
-j**2*(j - 1)*(j + 1)*(j + 4)
Suppose -4*u**5 + 192*u**3 - 162*u - 52*u**4 - 94*u - 4183*u**2 + 4167*u**2 = 0. Calculate u.
-16, -1, 0, 2
Let m(o) be the first derivative of -5*o**7/42 - o**6/6 + 3*o**5/4 + 5*o**4/12 - 5*o**3/3 - 97*o - 30. Let k(s) be the first derivative of m(s). Solve k(f) = 0.
-2, -1, 0, 1
Factor -114 - 27*q**2 - 3/8*q**3 + 225/2*q.
-3*(q - 2)**2*(q + 76)/8
Let z be 252/48 - (-30)/(-24). Let n be (3/2)/((-3)/(-8)). Factor 0*m**4 + n - 4 - 24*m**2 - 3*m**z + 16 + 16*m**3.
-(m - 2)**3*(3*m + 2)
Let j = 4416899/4 - 1104224. Factor -21/4*t**3 - 9*t - j*t**4 + 0 - 12*t**2.
-3*t*(t + 2)**2*(t + 3)/4
Let q = -7 - -9. Let m = -2092 - -14646/7. Determine k so that 6/7 + 4/7*k - m*k**q = 0.
-1, 3
Let a(t) be the third derivative of t**7/42 + t**6/8 - t**5/2 - 5*t**4/3 - t**2 + 129*t. Factor a(b).
5*b*(b - 2)*(b + 1)*(b + 4)
Let j(o) be the second derivative of -7/6*o**4 + 5/49*o**7 - 12/7*o**2 + 37/70*o**5 - 1 + 61/105*o**6 - 52/21*o**3 - 5*o. Solve j(g) = 0.
-3, -1, -2/3, -2/5, 1
Let z(f) be the first derivative of -96*f + 52 - 22*f**2 + 2/3*f**3. Factor z(y).
2*(y - 24)*(y + 2)
Suppose -303 = 4*b + 233. Let v = b + 262. Factor -13*q**2 + 10*q**2 + q**2 - v + 32*q.
-2*(q - 8)**2
Let d(a) = -a**2 + a - 1. Let f(u) = -5*u**2 - 11*u - 51. Let v(h) = -7*d(h) + f(h). Factor v(q).
2*(q - 11)*(q + 2)
Let t(d) be the second derivative of 8 + 8/3*d**4 + d**5 + 2/15*d**6 + 3*d + 8/3*d**3 + 0*d**2. Determine u so that t(u) = 0.
-2, -1, 0
Let q(i) = -i**5 + 22*i**3 + 9*i - 5. Let d(s) = s**5 - s**4 - 25*s**3 + s**2 - 12*s + 6. Let a(j) = -5*d(j) - 6*q(j). What is g in a(g) = 0?
-6, -1, 0, 1
Let o(w) be the first derivative of 2/165*w**5 + 0*w + 8 - 1/660*w**6 + 1/44*w**4 + 5*w**2 - 6/11*w**3. Let t(a) be the second derivative of o(a). Factor t(l).
-2*(l - 3)**2*(l + 2)/11
Let 73*a - 11*a**3 - 103*a + 73*a**3 + 1044 - 162*a - a**4 - 229*a**2 = 0. Calculate a.
-2, 3, 58
Let n(c) = c**3 - 14*c**2 + 14*c - 9. Let h be n(13). What is i in -24*i**h + 3*i**5 + 59080 - 59080 = 0?
0, 8
Let m(r) = 67*r - 1. Let s(h) = -4*h**2 + 627*h - 5333. Let q(j) = -5*m(j) + s(j). Solve q(i) = 0.
36, 37
Let m(f) be the second derivative of -4*f**6 + 409*f**5/4 - 85*f**4/12 - 11626*f. Let m(k) = 0. What is k?
0, 1/24, 17
Let j(u) be the first derivative of -u**3/6 + 633*u**2/2 + 1267*u/2 - 5290. Solve j(v) = 0 for v.
-1, 1267
Suppose 5*i = 4*r - 77, 20 + 20 = 2*r - 4*i. Let u be (-6)/(-30) - r/(-10). Factor -8*a - 41*a**2 + 82*a**u - 8 - 43*a**2.
-2*(a + 2)**2
Let r(d) be the third derivative of -d**7/525 + 19*d**6/150 + 41*d**5/50 + d**4/15 - 164*d**3/15 + 181*d**2 + 2. What is n in r(n) = 0?
-2, 1, 41
Factor -2/9*f**2 + 0 - 422/9*f.
-2*f*(f + 211)/9
Let b = -461 + 453. Let y be b/7*((-74)/8 + 9). Find a, given that -2/7*a**5 + 0 + 2/7*a**2 - y*a**4 + 0*a + 2/7*a**3 = 0.
-1, 0, 1
Let l = -1222409/210 - -5821. Let m(t) be the third derivative of 7/60*t**5 - 48*t**2 - 1/24*t**6 + 0 - 1/8*t**4 + 0*t**3 + l*t**7 + 0*t. Factor m(w).
w*(w - 3)*(w - 1)**2
Let p(f) = -f**3 - 5*f**2 + 2*f - 7. Let n = -8 + -14. Let a(q) = -q**2 + q - 1. Let b(x) = n*a(x) + 2*p(x). Suppose b(k) = 0. What is k?
1, 4
Solve 2/3*g**2 + 160 + 166/3*g = 0.
-80, -3
Let f = -5125 + 5130. Let o(y) be the third derivative of -13/45*y**4 + 0*y + 0 + 8/45*y**3 - 19/180*y**6 + 1/63*y**7 + 19/75*y**f + 13*y**2. Solve o(j) = 0.
2/5, 1, 2
Let o = -22943 + 22945. Determine v so that 3/2 - 1/2*v**o - v = 0.
-3, 1
Let x(f) be the third derivative of -f**5/600 - 2*f**4/5 - 47*f**3/15 + 7*f**2 - 8*f. Factor x(b).
-(b + 2)*(b + 94)/10
Suppose -w - 5*p - 13 = -2*w, w + 5*p + 7 = 0. Suppose d + 31 = w*h - 1, d + 12 = h. Factor -10*t**4 - 16*t**5 - 93*t**3 + 89*t**3 - h*t**4.
-4*t**3*(t + 1)*(4*t + 1)
Suppose -3*d = -3*u - 15, -2*d - 3*d = u - 7. What is z in -416*z**d - 8 - 425*z**2 + 46*z + 830*z**2 = 0?
2/11, 4
Let c(j) be the third derivative of j**6/660 - 7*j**5/55 - 139*j**4/132 + 60*j**3/11 - 12*j**2 - 2*j. Factor c(d).
2*(d - 45)*(d - 1)*(d + 4)/11
Let b be 6/5 - (-64)/80. Find f, given that 2*f**3 + 88*f**2 - 179*f**b + 94*f**2 - 8*f**4 + 7*f**3 - 4*f**4 = 0.
-1/4, 0, 1
Let i be (15/(-5))/((621/(-92))/9). Let -4/5*v + 1/5*v**i + 4/5 + 2/5*v**3 - 3/5*v**2 = 0. Calculate v.
-2, 1
Let g(h) be the second derivative of 21*h + 2 - 363/2*h**2 + 3/20*h**5 - 23/4*h**4 + 143/2*h**3. Suppose g(c) = 0. What is c?
1, 11
Let y(k) = 4*k**2 + 2*k + 1. Let f be (-9)/(-18)*(-2 + 0). Let c be y(f). Let -5*q**5 - q**2 + c*q**3 - q**2 + 4*q**5 = 0. Calculate q.
-2, 0, 1
Suppose 38*c - 1207 = 21*c. Solve c*a - 12*a**3 + 41 - a**4 - 35*a**2 - 59*a - 2 - 3 = 0 for a.
-6, -1, 1
Suppose 8*m - 6 - 58 = 0. Let -m + 4*a**2 + 5 + 0*a**4 + 2*a - 5*a**4 - 2*a**3 + 4*a**4 = 0. What is a?
-3, -1, 1
Factor 4849*u - 732557 + 4*u**2 - 1059*u - 9*u**2 + 14352.
-5*(u - 379)**2
Let i(f) = -15*f**2 - 115*f + 105. Let a(h) = -15*h**2 - 114*h + 100. Let r(t) = 5*a(t) - 4*i(t). Factor r(p).
-5*(p + 8)*(3*p - 2)
Let h(q) be the second derivative of q**7/2520 - q**6/120 + q**5/24 + 95*q**4/4 - 6*q - 17. Let t(m) be the third derivative of h(m). Let t(i) = 0. What is i?
1, 5
Determine z so that 182/5*z + 588 + 2/5*z**2 = 0.
-70, -21
Solve -26*b**3 + 3*b**5 + 129*b**4 + 6*b**4 + 7*b**5 + 21*b**3 - 5*b**5 - 135*b**2 = 0 for b.
-27, -1, 0, 1
Find y, given that 153/4*y**2 - 21/2*y**3 - 60 + 3/4*y**4 - 21/2*y = 0.
-1, 2, 5, 8
Let u be (-74)/6 - 5/(-15). Let p be (u + 8)/((-2)/10). Factor p*l**3 + 5 + 18*l**4 + 2*l**4 - 15*l - 5*l**3 - 25*l**2.
5*(l - 1)*(l + 1)**2*(4*l - 1)
Find p, given that -2822*p**3 - 2382*p + 319*p**2 - 2*p**4 + 4448*p**2 + 5*p**4 - 389*p**3 + 823*p**3 = 0.
0, 1, 794
Let b be 3 - (45 - 0 - 1). Let l = b + 45. Factor -12*i**l - 3*i**4 - 208*i + 15*i**2 + 5*i**5 + 198*i + 5*i**3.
5*i*(i - 2)*(i - 1)**2*(i + 1)
Suppose x + 22 = 3*j, 64*j + 53 = 60*j - 5*x. Factor -3/8*w**j - 21*w + 51/8*w**2 + 39/2.
-3*(w - 13)*(w - 2)**2/8
Suppose 54 = y - 6*n, -3*y + 18 = -4*y - 2*n. Let -7*g + 9/2*g**2 + y - 1/2*g**3 = 0. Calculate g.
0, 2, 7
Let u be (9 - (-2 - -74)/8)/(-5). Let r(l) be the first derivative of 0*l + u*l**2 - 24 - 4/3*l**3. Determine s, given that r(s) = 0.
0
Let y(p) be the first derivative of -3*p**4/4 - 127*p**3 + 192*p**2 - 1133. Factor y(o).
-3*o*(o - 1)*(o + 128)
Let d be 6/15 + 2 + (-81)/15. Let s be (-10 + 7)/(d/2). Factor -4*b + 4*b**2 + 4*b - 2*b**s + 2*b - 12.
2*(b - 2)*(b + 3)
Factor 50/3*w**3 + 656 + 9848/3*w + 12340/3*w**2.
2*(w + 246)*(5*w + 2)**2/3
Let o(x) be the second derivative of -5*x**7/42 + 31*x**6/6 - 141*x**5/2 + 805*x**4/3 - 980*x**3/3 - 108*x + 19. Solve o(j) = 0 for j.
0, 1, 2, 14
Let l be (30/9)/(44/(-858)). Let d = 69 + l. Factor -1/4 - 1/4*g**5 + 1/2*g**2 + 1/2*g**3 - 1/4*g**d - 1/4*g