2 - a + 19. Let l(g) = 15*b(g) - w(g). Factor l(k).
-5*(k - 24)*(k - 1)
Let v = 1009931/92576 + -1/8416. Let i = 535/44 - v. Factor -i*y**2 - 1/2 - 11/4*y.
-(y + 2)*(5*y + 1)/4
Let v(x) be the first derivative of 3*x**5/20 + 3*x**4/32 - 9*x**3/8 - 3*x**2/4 + 3*x/2 + 2898. Let v(m) = 0. Calculate m.
-2, -1, 1/2, 2
Factor 39/2 - 77/2*l - l**2.
-(l + 39)*(2*l - 1)/2
Let j be -8*(-15)/540 + 48/27. Let u(x) be the first derivative of -6 + 8*x - 4/3*x**3 - 2*x**j. Solve u(m) = 0 for m.
-2, 1
Let m(g) be the third derivative of -g**7/105 + 3*g**6/4 - 238*g**5/15 + 3*g**2 + 242*g - 3. Factor m(i).
-2*i**2*(i - 28)*(i - 17)
Suppose 2/7*i**2 - 2900/7*i - 2902/7 = 0. What is i?
-1, 1451
Let h(y) be the second derivative of y**8/60480 - y**7/22680 - y**6/405 - y**5/54 + 7*y**4/4 - 47*y + 1. Let u(g) be the third derivative of h(g). Factor u(w).
(w - 5)*(w + 2)**2/9
Suppose 59858 + 1156*h**2 + 746*h - 1154*h**2 - 156*h + 102*h = 0. Calculate h.
-173
Let w(y) be the first derivative of -2*y**3/3 + 41*y**2/2 + 484*y + 116. Let b(c) = -3*c**2 + 83*c + 968. Let q(j) = 3*b(j) - 5*w(j). Factor q(g).
(g + 22)**2
Let b(q) = 311*q**2 + 835*q + 31. Let o(z) = 103*z**2 + 279*z + 10. Let a(n) = -4*b(n) + 13*o(n). Factor a(s).
(s + 3)*(95*s + 2)
Let p(a) = -a**3 - a**2 + 4*a - 1. Let o(v) = -11*v**3 + 3414*v**2 - 779736*v + 59261754. Let n(c) = -o(c) + 6*p(c). Suppose n(m) = 0. Calculate m.
228
Let c be (-16)/6*(-3)/4. Find k such that 2*k**2 + 9786 - 20*k - 2*k**c + 4*k**2 - 9810 = 0.
-1, 6
Let f(w) be the first derivative of -w**3/9 + 13*w**2/3 - 169*w/3 - 2604. Suppose f(t) = 0. What is t?
13
Let j(k) be the second derivative of k**4/12 - 143*k**3/6 - 370*k**2 - 5879*k. Find r, given that j(r) = 0.
-5, 148
Suppose -6*y = -y. Suppose -30 = -y*p + 5*p. Let q(f) = -12*f**3 - 4*f**2 + 18*f - 2. Let b(z) = -z + 1. Let a(l) = p*b(l) - q(l). Solve a(v) = 0 for v.
-1, -1/3, 1
Let x be (130/15)/(12/576). Let l = x + -414. Factor 3*o - 21/5*o**l + 6/5.
-3*(o - 1)*(7*o + 2)/5
Let g be (40/(-20))/((0 - -2)*-350). Let n(x) be the third derivative of 0*x**3 + 1/40*x**4 - 4*x**2 + g*x**7 + 0 + 0*x - 1/100*x**5 - 1/200*x**6. Factor n(s).
3*s*(s - 1)**2*(s + 1)/5
Let p = -202716 - -1419016/7. Factor p*b**2 + 8/7 - 12/7*b.
4*(b - 2)*(b - 1)/7
Determine b so that -105/4 - 5/4*b**5 - 5/4*b**4 + 75/2*b**3 + 335/4*b - 185/2*b**2 = 0.
-7, 1, 3
Factor 0 + 12*k - 80/9*k**2.
-4*k*(20*k - 27)/9
Let x be (-1)/2*-10 + 44/(-44). Suppose -2*g - 5 = 3*y - 1, y - x = 2*g. Factor 4/7*j - 4/7*j**3 + y*j**2 - 2/7 + 2/7*j**4.
2*(j - 1)**3*(j + 1)/7
Suppose 20 - 113 + j + j**2 + 51 = 0. What is j?
-7, 6
Let a be (24/(-28))/(60/(-280)). Let o(x) be the third derivative of 0*x**3 - 1/102*x**5 + 0 + 14*x**2 + 0*x - 1/102*x**a. Factor o(j).
-2*j*(5*j + 2)/17
Let v = -69316 - -69318. Let g = 55 + -219/4. Factor 1/8*i**3 - g - 1/8*i + 1/4*i**v.
(i - 1)*(i + 1)*(i + 2)/8
Let u be 2/(-6)*(-7 + 10). Let b(i) = 5*i**2 - 17*i - 30. Let h(j) = 2*j. Let k(p) = u*b(p) + 4*h(p). Factor k(a).
-5*(a - 6)*(a + 1)
Let l = -4291 + 64369/15. Let k(r) be the first derivative of 0*r**3 + l*r**5 + 0*r + 0*r**2 - 34 - 4/9*r**6 - 1/24*r**4. Factor k(a).
-a**3*(4*a - 1)**2/6
Let b(h) be the second derivative of 6 + 1/45*h**6 - 1/30*h**5 + 4/9*h**3 - 2/9*h**4 - 9*h + 0*h**2. Solve b(r) = 0.
-2, 0, 1, 2
Let f(o) be the second derivative of o**5/20 - 815*o**4/12 - o**3/6 + 815*o**2/2 - 17*o - 100. Factor f(z).
(z - 815)*(z - 1)*(z + 1)
Let w(k) be the second derivative of -59 + 0*k**2 + 2*k - 3/20*k**5 + 0*k**3 - 3/4*k**4. Let w(m) = 0. Calculate m.
-3, 0
Let -120 - 255/8*o**2 + 3/8*o**3 + 303/2*o = 0. Calculate o.
1, 4, 80
Suppose -2 = 12*h - 170. Let j be -1 + (-14)/h + 5/2. Factor j + s**3 - 1/2*s**2 - 1/4*s**5 - 3/4*s + 0*s**4.
-(s - 1)**3*(s + 1)*(s + 2)/4
Let f = 4038 - -192. Factor 6320 - 84*b**2 + 2*b**3 - 1902 - 111*b**2 + 0*b**2 + f*b + 9*b**2.
2*(b - 47)**2*(b + 1)
Let x be (-34)/30 - (-16)/120. Let f be (x/(-63)*15)/(85/102). What is g in -6/7 - 8/7*g - f*g**2 = 0?
-3, -1
Let t(w) be the first derivative of -12/5*w - 4/5*w**2 + 1/20*w**4 - 291 + 1/3*w**3. Factor t(y).
(y - 2)*(y + 1)*(y + 6)/5
Let g = 64 - 68. Let f(u) = 7*u**2 + 14*u + 11. Let h(s) = -6*s**2 - 13*s - 9. Let a(z) = g*h(z) - 3*f(z). Factor a(t).
(t + 3)*(3*t + 1)
Let x(s) be the first derivative of 2*s**3/33 + 12*s**2/11 + 2*s + 300. Determine r, given that x(r) = 0.
-11, -1
Let t(h) = h**3 - 6*h**2 + 4*h + 23. Let d be t(6). Factor d*v + 26*v + 676 + 7*v**2 + 31*v - 3*v**2.
4*(v + 13)**2
Let j be (24/9)/4 + (-77)/(-33). Let 8*u - 4*u**4 - 40*u**2 - 19*u**4 - 9*u**4 + 58*u**3 - j*u**5 + 9*u**5 = 0. What is u?
0, 1/3, 1, 2
Let f(t) be the first derivative of -2*t**3/27 + 1522*t**2/9 + 3479. Let f(a) = 0. What is a?
0, 1522
Let h(x) = -x**3 - 4*x**2 + 3*x - 7. Suppose -8*n = 16 + 24. Let f be h(n). Find p such that 290*p - 281*p - 4*p**f + p**3 - 6 = 0.
-2, 1
Let g(p) = 45*p + 30. Let s be g(-4). Let c = 752/5 + s. Let -4/5*h - 2/5*h**4 + c + 4/5*h**3 + 0*h**2 = 0. Calculate h.
-1, 1
What is b in 61*b - 2232 - 103048*b**2 - 1183*b + 103045*b**2 = 0?
-372, -2
Let p = -527 - -597. Suppose -p = 2*v - 37*v. Suppose -1/3*w + 1/3*w**v - 2/3 = 0. What is w?
-1, 2
Let c be ((2/(-3))/((-656)/(-246)))/((-10)/768). Factor -64/5*d**2 - 12/5*d - c*d**4 - 24*d**3 + 0 - 28/5*d**5.
-4*d*(d + 1)**3*(7*d + 3)/5
Let t(l) be the first derivative of -4*l**3/3 - 130*l**2 + 264*l - 4291. Find j such that t(j) = 0.
-66, 1
Let k(s) be the second derivative of -s**4/36 - 11*s**3/9 - 602*s. Factor k(w).
-w*(w + 22)/3
Let h(b) be the second derivative of -b**4/4 + 2*b**3 - 6*b**2 + 42*b + 3. Suppose h(v) = 0. What is v?
2
Suppose 2*a - 2 = m, -5*m = -6*m. Let j be ((-2 + -1)/(-21))/a. Factor -4/7*l - 3/7 - j*l**2.
-(l + 1)*(l + 3)/7
Let t(v) = -7*v**2 + 5*v + 2. Let a(n) = -2*n**2 - 4*n - 9. Let s(x) = -2*x**2 - 1. Let y(q) = -a(q) + 5*s(q). Let l(c) = -6*t(c) + 5*y(c). Factor l(h).
2*(h - 4)*(h - 1)
Suppose 7*j = -73 - 46. Let v be 11 + j - (-30)/4. Solve 3/4*k**3 + 0*k**2 - 9/4*k + v = 0 for k.
-2, 1
Let -1430*r**3 - 265*r**4 - 5*r**5 - 3718*r**2 + 69243*r**2 - 347480*r + 135500 + 435*r**3 + 147720 = 0. What is r?
-34, 1, 7
Suppose 542*v - 5492 = 528*v - i, -5*i + 1196 = 3*v. Find c such that 2/9*c**2 - 56/3*c + v = 0.
42
Factor 104/17 - 122/17*h - 10/17*h**2.
-2*(h + 13)*(5*h - 4)/17
Let i(k) = -333*k**4 + 1191*k**3 - 746*k**2 - 552*k - 67. Let n(s) = 166*s**4 - 595*s**3 + 373*s**2 + 276*s + 33. Let f(q) = -3*i(q) - 5*n(q). Factor f(d).
(d - 2)**2*(13*d + 3)**2
Let x = 3661/2622 - 55/874. Factor -32/15 - x*d - 2/15*d**2.
-2*(d + 2)*(d + 8)/15
Let j(g) be the second derivative of -g**4/48 - 11*g**3/12 + 23*g**2/8 + 1558*g. Factor j(q).
-(q - 1)*(q + 23)/4
Suppose 2*n - 5*x = 0, 4*n + 0*x - 48 = -2*x. Suppose -2*l = n*l - 48. Solve 22/3*o**2 + 14/3*o**3 - 22/3*o + 8/3*o**5 + 4/3 - 26/3*o**l = 0 for o.
-1, 1/4, 1, 2
Let y(c) be the first derivative of -1/3*c**3 - 1/6*c**4 + 1/5*c**5 + 1/3*c**2 + 0*c + 124. Factor y(o).
o*(o - 1)*(o + 1)*(3*o - 2)/3
Suppose -20*y = 147 - 187. Suppose 0 = 4*f - y*v - 20, 5*f - 237*v + 232*v - 30 = 0. Determine x, given that -5/3*x**f + 4*x**3 + 4/3 + 1/3*x**2 - 4*x = 0.
-1, 2/5, 1, 2
Let m = 10002/5 + -2000. Let y(j) be the first derivative of 2/25*j**5 + 4/5*j**3 - m*j**4 - 11 - 4/5*j**2 + 2/5*j. Factor y(q).
2*(q - 1)**4/5
Let i = 13501/4 + -3375. Let d(v) be the first derivative of -16 + 0*v - i*v**2 - 1/3*v**3. Let d(m) = 0. What is m?
-1/2, 0
Find u, given that 54*u - 111/4*u**3 - 27/2 + 291/8*u**2 + 27/8*u**4 = 0.
-1, 2/9, 3, 6
Factor -10/3*w**2 - 32/9*w + 1/9*w**4 + 1/9*w**3 + 160/9.
(w - 5)*(w - 2)*(w + 4)**2/9
Let w = 6145 + -6142. Find n such that 0 + 0*n - 2/5*n**4 + 0*n**w + 2/5*n**2 = 0.
-1, 0, 1
Let q(a) be the second derivative of -a**4/6 - 41*a**3/6 + 33*a**2 + 23*a + 2. Let f be q(-22). Factor f - 2/3*t + 1/3*t**2.
t*(t - 2)/3
Suppose 34*y + 3270 - 3508 = 0. Determine v so that 1/3*v**2 - y*v + 20/3 = 0.
1, 20
Let d(a) = 11*a**2 - 122*a + 428. Let k(o) = 3*o**2 - 42*o + 145. Let h(v) = -2*d(v) + 7*k(v). Suppose h(g) = 0. Calculate g.
-53, 3
Factor 4*o**2 - 4/5*o**3 - 12/5*o - 36/5.
-4*(o - 3)**2*(o + 1)/5
Let k be (114/190)/((66/(-220)*2)/((-12)/14)). Solve 2/7*n**4 - 16/7*n - k*n**2 + 4/7*n**3 - 8/7 = 0.
-2, -1, 2
Let y(d) be the 