755/6 - -459. Let r = 16/3 - s. Factor 1/2*b**3 + 12*b + r*b**2 - 18.
(b - 1)*(b + 6)**2/2
Let k = 6529 + -6523. Let v(o) be the third derivative of 0*o - 16*o**2 + 1/70*o**7 + 0 + 0*o**3 + 0*o**4 - 3/40*o**k + 1/10*o**5. Suppose v(c) = 0. What is c?
0, 1, 2
Let c(u) = -u**3 - u - 1. Let y be -1*(4 + -12) + -4 - 3. Let b(k) = 2 + 3 - 8*k**2 + k**3 + k - 4 + 2*k**4. Let g(z) = y*c(z) + b(z). Factor g(w).
2*w**2*(w - 2)*(w + 2)
Let z be ((-50)/(-12))/(-5) + 3196/1128. Let h(n) be the first derivative of 0*n**z + 6 - 1/2*n**4 + 0*n + 0*n**3 + 2/5*n**5. Factor h(a).
2*a**3*(a - 1)
Let b(r) = 6*r**2 - 9*r - 3. Let m be b(2). Let y be -7 + 3 + -4*m/(-2). Determine n so that -1/2*n + 1/2*n**3 + 0 + 1/4*n**y - 1/4*n**4 = 0.
-1, 0, 1, 2
Let d be 4242/560 + ((-14)/(-5) - 3) + -7. Suppose -3/2*z + 0 + d*z**2 = 0. Calculate z.
0, 4
Let u be ((-15)/2)/(-3)*(-4026)/(-915). Factor f - 44 - 10*f**3 + 0*f + 44*f**2 - u*f**3 - 15*f**3 + 35*f**3.
-(f - 44)*(f - 1)*(f + 1)
Let i(l) be the second derivative of -l**6/135 - 59*l**5/45 - 120*l. Factor i(c).
-2*c**3*(c + 118)/9
Let w = -1295 - -1298. Let a(n) be the third derivative of 10*n**2 + 0*n + 1/20*n**5 + n**w - 3/8*n**4 + 0. Factor a(j).
3*(j - 2)*(j - 1)
Let p(u) be the first derivative of -2*u**2 + 3/4*u**4 + 79 + 0*u**3 + 1/5*u**5 + 0*u. Solve p(t) = 0 for t.
-2, 0, 1
Let d = -100 + 646. Factor 4302 + 928 + d + 4*g**2 - 94*g - 210*g.
4*(g - 38)**2
Let w(b) = -6*b**2 - 80*b - 10. Let k(d) = -7*d**2 - 80*d + 7. Let r(t) = -4*k(t) + 5*w(t). Determine g so that r(g) = 0.
-39, -1
Solve -7*m**3 + 9*m + 12*m**2 - 37*m**2 - 127*m + 355446 - 355302 + 6*m**3 = 0.
-18, -8, 1
Let m = 2/63547 + 11552/63547. Factor -m*k**2 - 450/11 + 60/11*k.
-2*(k - 15)**2/11
Let n(f) be the first derivative of f**5/5 + 91*f**4/4 + 58*f**3 - 182*f**2 - 712*f - 617. Suppose n(x) = 0. What is x?
-89, -2, 2
Let n(s) be the second derivative of s**7/84 - s**6/30 - s**5/2 - s**4 + 3578*s. Factor n(z).
z**2*(z - 6)*(z + 2)**2/2
Let s(u) be the second derivative of 23*u - 2/27*u**4 + 1 - 2/3*u**2 - 1/90*u**5 + 11/27*u**3. Let s(v) = 0. What is v?
-6, 1
Let m = 270 - 235. Factor m - 2*l**2 + 20 - 83 - 12*l + 30*l.
-2*(l - 7)*(l - 2)
Factor -2205 - 5*x**2 + 2*x**2 + 268*x - 23*x - 42*x + 133*x.
-3*(x - 105)*(x - 7)
Let u be 4/(-30)*(-21 + 6). Determine y, given that 172*y**2 - 288*y**3 + 48*y**4 - 256 + 192*y + 36*y**u - 4*y**5 + 100*y**3 = 0.
-1, 1, 4
Suppose -5*m + 6 = -8*m - 3*k, -2*m + 2*k + 12 = 0. Suppose -24*z**2 - 24*z**m - 80*z + 400 - 24*z**2 + 76*z**2 = 0. Calculate z.
10
Let o = 131 - 59. Find j, given that 12 + 21*j**3 - 120*j**2 + o*j + 49*j**2 - 10*j**2 = 0.
-1/7, 2
Let a(r) = 6*r**3 + 133*r**2 - 13*r - 168. Let v(g) = -2*g**3 - 46*g**2 + 4*g + 56. Let i(q) = -2*a(q) - 7*v(q). Factor i(n).
2*(n - 1)*(n + 1)*(n + 28)
Suppose 0 = -11*i + 12*i - 6. Factor 798*y + 380*y**2 - 882 - 4*y**3 - 298*y**2 + i*y**3.
2*(y - 1)*(y + 21)**2
Let t be (1266/(-4))/((-12)/(3 - 39)). Let n = t + 954. Factor -3*f**2 - n*f**3 + 0 - 3/2*f**4 + 0*f.
-3*f**2*(f + 1)*(f + 2)/2
Let x(w) = -28*w - 1255. Let j be x(-45). Let h = 1 + -1. Factor 0 + 1/3*b**3 + h*b + 1/9*b**j - 1/9*b**2 - 1/3*b**4.
b**2*(b - 1)**3/9
Let y(r) = -287*r**2 - 1145*r + 16. Let v be y(-4). Suppose -8/5*h**5 + 32/5*h**2 - 22/5*h**v + 6/5*h**3 + 0 - 8/5*h = 0. What is h?
-2, 0, 1/4, 1
Let k(f) be the first derivative of 2*f**3/51 + 16*f**2/17 - 594*f/17 + 12432. Factor k(t).
2*(t - 11)*(t + 27)/17
Factor -68*u**3 + 4*u**4 - 94*u**2 - 55*u**2 - 44*u**2 + 41*u**2.
4*u**2*(u - 19)*(u + 2)
Suppose -132 = 2*k - 13*k. Suppose 222 = k*a - 10*a. What is u in -9*u**2 - a - 33*u + 72 + 6*u**3 + 57 = 0?
-2, 1/2, 3
Let k be 166 - 6*(4 - 3). Let s be (-8)/44 - (k/198)/(-2). Factor -s*p**2 - 14/9*p + 0.
-2*p*(p + 7)/9
Let l(c) be the first derivative of 11/3*c**3 + 3*c - 87 + 5/8*c**4 + 23/4*c**2. Solve l(z) = 0 for z.
-3, -1, -2/5
Suppose 169/6*j**4 + 379/3*j**2 + 793/6*j**3 + 4 - 146/3*j = 0. Calculate j.
-3, -2, 2/13
Let h(u) = 5*u**3 - 463*u**2 + 2715*u - 4131. Let j(l) = -25*l**3 + 2317*l**2 - 13575*l + 20634. Let d(p) = 29*h(p) + 6*j(p). Suppose d(f) = 0. Calculate f.
3, 89
Factor 133/5*w + 40 + w**2.
(w + 25)*(5*w + 8)/5
Suppose -5*a = n - 40, -5*n - 3*a + 19 = -27. Solve 2/13*j**n + 0 - 2*j**2 + 8/13*j - 14/13*j**4 + 30/13*j**3 = 0 for j.
0, 1, 4
Suppose -64 = -3*c - 13*o, -838*c - 28 = -841*c - 4*o. Find d, given that -8/9*d**3 + 8/9*d - 2/9 - 4/9*d**2 + 2/3*d**c = 0.
-1, 1/3, 1
Let m(c) be the second derivative of -c**6/28 - 19*c**5/210 + 4*c**3/21 - 77*c**2/2 + 22*c. Let i(w) be the first derivative of m(w). Let i(p) = 0. What is p?
-1, -2/3, 2/5
Let p(f) = -5*f**2 + 18590*f + 28774275. Let j(u) = -21*u**2 + 74361*u + 115097106. Let d(i) = 8*j(i) - 33*p(i). Suppose d(w) = 0. What is w?
-3097
Let y(z) = z**3 - 9*z**2 - z + 15. Suppose 4*t - 36 = -3*k, -3*t - 4*k + 6*k + 27 = 0. Let q be y(t). Factor -21 + 12*h**2 - q*h**2 + 4*h**3 - 2*h**4 + 21.
-2*h**2*(h - 3)*(h + 1)
Let x(d) be the third derivative of 13*d**9/90720 + d**8/15120 - 37*d**5/15 - 118*d**2. Let m(p) be the third derivative of x(p). Factor m(j).
2*j**2*(13*j + 2)/3
Let z(x) = x**3 + 11*x**3 - 140*x**2 + 480*x + 65317 - 65901. Let r(f) = 4*f**3 - 47*f**2 + 160*f - 195. Let g(k) = 8*r(k) - 3*z(k). Factor g(j).
-4*(j - 4)**2*(j - 3)
Let l be ((-276)/(-644))/(1/7). Factor -13*g**2 + 80*g - 64 - 14*g**2 - 20*g**l - 15*g**2 - 17*g**2 + 75*g**2.
-4*(g - 2)*(g + 2)*(5*g - 4)
Let y(m) = 9*m + 113. Let o be y(-12). Suppose 5*z - 5 = -5*k, 3*z + o*k + 25 = 22. Find q, given that -1/5*q**z + 2/5*q**3 + 1/5*q**2 + 0 - 2/5*q = 0.
-1, 0, 1, 2
Let x be ((-99)/(-6) - 15)*2. Let g(i) be the first derivative of 7/2*i**4 + 4/5*i**5 - 16 + 0*i**2 + 0*i + 8/3*i**x - 1/3*i**6. Let g(o) = 0. Calculate o.
-1, 0, 4
Let x(l) be the second derivative of l**7/2520 - l**6/960 - l**5/480 - 31*l**4/3 - l**2 + 245*l. Let n(c) be the third derivative of x(c). Factor n(b).
(b - 1)*(4*b + 1)/4
Let 2*a**3 - 57*a - 33 - 83*a**2 + 201*a - 7 - 23*a = 0. Calculate a.
1/2, 1, 40
Suppose -6530 = 22*q - 7058. Let 4/3*k**2 + q*k + 108 = 0. What is k?
-9
Let n = 4609/6092 - 10/1523. Let 45*b - 675 - n*b**2 = 0. What is b?
30
Let j(s) be the third derivative of -s**5/90 + 29*s**4/6 + 2047*s**2. Suppose j(g) = 0. Calculate g.
0, 174
Factor v**4 + 0*v + 0 - 7/5*v**3 + 3/5*v**2 - 1/5*v**5.
-v**2*(v - 3)*(v - 1)**2/5
Let s(p) be the first derivative of 1492/9*p**3 - 175/9*p**6 - 1027/6*p**4 + 64/3*p + 272/3*p**5 - 256/3*p**2 + 72. Suppose s(q) = 0. Calculate q.
2/7, 4/5, 1
Let c(n) = n**2 - 88 - 87 + 176. Let b(u) = 6*u**2 + 38*u + 366. Let j(o) = -3*b(o) + 15*c(o). Suppose j(g) = 0. What is g?
-19
Suppose -863*a = -663*a - 400. Factor 0 + 4/3*x**4 - 2/3*x**a + x**5 - 1/3*x**3 + 0*x.
x**2*(x + 1)**2*(3*x - 2)/3
Let s(c) be the first derivative of 10*c**3 - 18*c**2 - 11*c**3 + 22 + 29 + 0. Factor s(a).
-3*a*(a + 12)
Let j(q) be the second derivative of 2/189*q**7 + 4/3*q**3 + 0 - 16/9*q**2 - 7/45*q**5 - 7/27*q**4 + 267*q + 2/45*q**6. Find b, given that j(b) = 0.
-4, -2, 1
Let n(c) = 5*c. Let r be n(1). Let b(k) = k**2. Let p(h) be the first derivative of -3*h**3 + 2*h**2 + 8*h - 3. Let o(y) = r*b(y) + p(y). Factor o(z).
-4*(z - 2)*(z + 1)
Let r(o) = 9*o**3 - 204*o**2 - 3627*o - 11532. Let t(k) = -5*k**3 + 202*k**2 + 3627*k + 11532. Let x(m) = -2*r(m) - 3*t(m). Let x(s) = 0. What is s?
-31, -4
Let -25*w**2 + 9*w**5 + 25*w**4 - 590 - 20*w + 590 - 4*w**5 + 15*w**3 = 0. What is w?
-4, -1, 0, 1
Find d, given that 146/13*d**2 + 148/13*d + 0 - 2/13*d**3 = 0.
-1, 0, 74
Let y be 40/(-60)*(7 - 670/70)*3*5. Factor -2/7*d**2 - y*d - 4050/7.
-2*(d + 45)**2/7
Let 127*d**3 + 31*d**3 - 4*d + 20*d**2 - 154*d**3 - 20 = 0. What is d?
-5, -1, 1
Let u(s) be the second derivative of -s**4/3 - 572*s**3/3 - 570*s**2 + 559*s. What is k in u(k) = 0?
-285, -1
Suppose -25*l = -32*l + 21. Factor -37*t**3 - 6*t + 10*t**2 + 14*t + 39*t**l.
2*t*(t + 1)*(t + 4)
Let l be (-63)/(-48)*8592/5012. Factor 3/4*b**2 - l*b - 3.
3*(b - 4)*(b + 1)/4
Let w(o) = -o**2 + o + 2. Let i be w(-1). Suppose 0 = -3*m - 3 + 9. Find t, given that -14*t**2 + i*t**3 + t**3 + 10*t + 71*t - 4*t**m = 0.
0, 9
Let d(l) = l**5 - 38*l**4 + 52*l**3 + 14*l**2 - 53*l + 8. Let o(v) = -25*v**4 + 35*v**3 + 10*v**2 - 35*v + 5. Let k(q) = 5*d(