e -21*i + 440 = i. Let c(r) = -16*r**3 + 72*r**2 - 206*r + 222. Let y(n) = i*g(n) + 6*c(n). Factor y(h).
4*(h - 8)*(h - 2)**2
Let d(b) = 2*b**3 - 4*b**2 + 5*b - 3. Let u be d(2). What is m in -m + 2*m - 3*m - 5 + 12*m**2 - u + 2*m**3 = 0?
-6, -1, 1
Factor -90*w + 0 + 27/2*w**3 - 24*w**2 + 3/2*w**4.
3*w*(w - 3)*(w + 2)*(w + 10)/2
Let t = -44494 + 44496. Factor 2/7 - 16*k**t + 20/7*k.
-2*(4*k - 1)*(14*k + 1)/7
Let n(z) be the third derivative of 0*z**3 + 1/4*z**4 + 0*z + 1/16*z**6 + 2*z**2 + 1/140*z**7 - 8 + 1/5*z**5. Solve n(t) = 0 for t.
-2, -1, 0
Let h(m) = 5*m**2 + 28*m + 27. Let u(r) = -13*r**2 - 83*r - 81. Let t(d) = d**2 + 33*d + 256. Let k be t(-13). Let l(z) = k*u(z) - 11*h(z). Factor l(o).
-3*(o - 9)*(o + 1)
Let r = 128759 - 128756. Find b, given that -2/5*b**5 + 4/5*b**4 - 24/5*b**2 + 0 + 22/5*b**r - 72/5*b = 0.
-2, 0, 3
Let y(o) be the first derivative of -5*o**4/4 + 800*o**3/3 - 478. Factor y(b).
-5*b**2*(b - 160)
Suppose 5*p - 16 = -70*o + 67*o, -5*o + 10 = 0. Factor -2 - 8*h**p - 3*h**2 - 9*h - h**2 + 6*h**2 + 2*h**2.
-(h + 2)*(4*h + 1)
Let t be (1 - 9 - -16)*14/4. Let z be (1/(-7))/((-7)/t). Solve 4/7*j**4 - 4/7*j**2 + z*j + 0 - 4/7*j**3 = 0 for j.
-1, 0, 1
Let j = -2/29065 - -29077/174390. Suppose 5/3 - j*b**2 - 3/2*b = 0. Calculate b.
-10, 1
Let g = -43 + 49. Let m be g + (-1 - (-2)/(-2)). Solve 0*p**m - 6*p**2 + 5*p**2 - p**4 + 2*p**2 = 0.
-1, 0, 1
Determine m so that 2210*m**3 + 1193*m**2 + 4*m**5 + 565*m**4 + 1800*m + 545 + 385*m + 2097*m**2 + m**5 = 0.
-109, -1
Let g be 50/(-12) + (-20)/(-120). Let j = 10 + g. Factor d**3 + 4 - j*d**2 + 10*d**2 - 8*d + d - 2*d**2.
(d - 1)**2*(d + 4)
Let j be (-60)/((-3)/(-3) - 2). Factor 105*d**2 - 60*d**2 - 9*d - j*d**2 + 5*d**3 + 27 - 8*d**3.
-3*(d - 1)*(d + 3)**2
Let l(p) = -8*p**3 + 14*p - 6. Let r(x) = x**2 + 21*x**3 - 15*x**3 - 7*x**3. Let w(h) = -l(h) + 10*r(h). Factor w(u).
-2*(u - 3)*(u - 1)**2
Let h(u) be the second derivative of -u**6/240 + u**5/40 + u**4/12 - u**3 + 130*u**2 - 196*u. Let c(a) be the first derivative of h(a). Let c(n) = 0. What is n?
-2, 2, 3
Let j be 9700/1649 - ((-2)/12 - 20/(-408)). Let p(y) be the third derivative of 0*y**3 - 1/240*y**j + 0 - 1/48*y**4 + 1/60*y**5 - 17*y**2 + 0*y. Factor p(r).
-r*(r - 1)**2/2
Let f(n) be the first derivative of -n**4/48 - n**3/8 - 136*n + 84. Let y(l) be the first derivative of f(l). Factor y(i).
-i*(i + 3)/4
Let b(i) be the third derivative of -i**7/210 + 3*i**6/80 - 7*i**5/120 - i**4/8 - 276*i**2. Suppose b(l) = 0. Calculate l.
-1/2, 0, 2, 3
Let q be (-79)/(1343/102) + 9 + 1. Let 3/4*s - 3/4*s**3 - 1/4*s**2 + 1/2 - 1/4*s**q = 0. Calculate s.
-2, -1, 1
Let u(i) = -2*i**4 - 36*i**3 + 133*i**2 - 225*i + 112. Let p(d) = -2*d**3 + d**2 - d. Let s(t) = 18*p(t) - 2*u(t). Find n such that s(n) = 0.
-14, 1, 2
Let h(n) = -53*n**3 - 192*n**2 - 227*n - 88. Let j(v) = -2*v**4 + 104*v**3 + 384*v**2 + 453*v + 175. Let g(s) = -5*h(s) - 2*j(s). Suppose g(c) = 0. What is c?
-10, -9/4, -1
Let z(o) = -49*o**4 + 151*o**3 - 141*o**2 - 151*o + 124. Let k(b) = -9*b**4 + 30*b**3 - 28*b**2 - 30*b + 25. Let r(d) = 11*k(d) - 2*z(d). Factor r(n).
-(n - 27)*(n - 1)**2*(n + 1)
Let b(x) be the third derivative of x**8/784 - 449*x**7/490 - x**2 + 281*x. Determine d, given that b(d) = 0.
0, 449
Let y(z) be the third derivative of 0 + 1/15*z**5 + 5/8*z**4 + 1/360*z**6 + 0*z + 25/9*z**3 + 42*z**2. Suppose y(s) = 0. Calculate s.
-5, -2
Let s be (-48)/(-10) - (11004/280)/131. Factor -51/2*m + s*m**2 - 9.
3*(m - 6)*(3*m + 1)/2
Suppose -136 = -2*p - 3*q, 49 + 215 = 4*p + 4*q. Determine f, given that 24 + p*f - 4*f**2 + 1 - 12*f + 43 + 14*f = 0.
-1, 17
Let u(d) = 2 + 22 + 3*d + 2*d**2 - 19*d. Suppose 62 = -4*w + 54. Let o(k) = 1. Let l(a) = w*u(a) + 20*o(a). Factor l(y).
-4*(y - 7)*(y - 1)
Suppose -372*k = -387*k - 90. Let b be (-9)/k - 0 - 1. Factor q**3 + 0 + 0*q**4 - b*q**5 + 0*q**2 - 1/2*q.
-q*(q - 1)**2*(q + 1)**2/2
Solve 0*v + 477/2*v**2 - 1/4*v**3 + 0 = 0.
0, 954
Let d(g) be the second derivative of -g**4/4 + 1186*g**3 - 2109894*g**2 - 1826*g. Factor d(y).
-3*(y - 1186)**2
Let z(o) be the second derivative of -3*o**5/4 - 235*o**4/12 - 155*o**3/3 + 280*o**2 + 41*o - 3. Suppose z(w) = 0. Calculate w.
-14, -8/3, 1
Let o(m) = -2*m**3 + 31*m**2 + 550*m - 8284. Let c be o(14). Find x such that 0 + 0*x + 12/7*x**2 + 26/7*x**3 + 16/7*x**c + 2/7*x**5 = 0.
-6, -1, 0
Let g(c) be the first derivative of 2/9*c**5 + 1/27*c**6 + 2/9*c**4 - 32/9*c**2 - 32/27*c**3 - 32/9*c + 121. Determine w so that g(w) = 0.
-2, -1, 2
Factor -24*s**2 - 4/3*s**3 + 512/3 - 32*s.
-4*(s - 2)*(s + 4)*(s + 16)/3
Let a(k) be the second derivative of 5*k**6/12 - 197*k**5/4 - 797*k**4/8 - 60*k**3 + 145*k + 25. Factor a(d).
d*(d - 80)*(5*d + 3)**2/2
Suppose 57 + 303 = 24*k. Suppose -45 = -5*q - 4*z, 4*z + k = 2*q + 5*z. Factor -4/9*f**3 + 0*f**2 + 2/9*f + 2/9*f**q + 0*f**4 + 0.
2*f*(f - 1)**2*(f + 1)**2/9
Let i = 437003/5 + -87373. Solve -1587/5 - 3/5*p**2 + i*p = 0.
23
Suppose 0 = 43*m - 6*m - 74. Solve 4*g**m - 1707 + 8139 + 4634 + 6890 + 536*g = 0.
-67
Let v(k) be the third derivative of -k**8/5040 + k**7/90 - 49*k**6/180 + 7*k**5/4 + 36*k**2 + 2*k. Let j(p) be the third derivative of v(p). Factor j(n).
-4*(n - 7)**2
Determine w, given that -1306/15*w**3 - 614/5*w**2 - 254/15*w**4 + 2/15*w**5 - 264/5*w + 0 = 0.
-3, -1, 0, 132
Let n = -766 - -770. Factor 53*g**n + 4*g**5 - 13*g**4 - 432*g**2 - 551*g + 119*g + 41*g**3 - 5*g**3.
4*g*(g - 3)*(g + 1)*(g + 6)**2
Suppose 5 - 35 = -5*o. Suppose o*a - 32 = -10*a. Factor 10*u**2 + 0*u**2 - 5*u**2 - 2*u**a.
3*u**2
Suppose 1176*m - 5001 + 1473 = 0. Factor -3/2*w**4 + 23/2*w**2 - 7*w**3 + 0 - m*w.
-w*(w - 1)*(w + 6)*(3*w - 1)/2
Let y be (3 - 6/2)*-1. Suppose y*r + p = 3*r - 24, -r + 2*p = -8. Factor -9*q**2 + 9*q**2 + 8*q - r + 26*q**2 + 10*q**3.
2*(q + 1)*(q + 2)*(5*q - 2)
Factor 36/7*z**4 - 162/7*z**3 - 2/7*z**5 + 0 + 0*z + 0*z**2.
-2*z**3*(z - 9)**2/7
Let q(a) = a**3 + 7*a**2 - 2*a - 12. Let j be (-8)/(-120)*5 - 22/3. Let x be q(j). Solve -7/5*b**3 + 7/5*b + 6/5*b**x - 4/5*b**4 - 2/5 = 0.
-2, -1, 1/4, 1
Let j(x) be the second derivative of 14/15*x**6 + 2/3*x**3 + 5*x**4 + 19/5*x**5 - 5 - 4*x**2 + x. Factor j(y).
4*(y + 1)**3*(7*y - 2)
Let p(v) = -94*v - 22748. Let x be p(-242). Factor 2/13*w**2 + 0 + x*w.
2*w**2/13
Suppose 79*v + 280 - 438 = 0. Let m(n) be the third derivative of 25/24*n**4 + 1/12*n**5 + 0 + 10/3*n**3 + 0*n - 25*n**v. Let m(r) = 0. Calculate r.
-4, -1
Let a(y) be the first derivative of -y**4/30 + 92*y**3/45 + 137*y**2 + 2280*y + 480. Solve a(q) = 0 for q.
-15, 76
Suppose -64*g - 296501 = -296629. Solve -24/11*p - 18/11*p**g + 6/11*p**3 + 0 = 0.
-1, 0, 4
Let x(s) be the second derivative of s**6/15 + 29*s**5/5 + 239*s**4/2 - 3596*s**3/3 + 3844*s**2 + 10*s + 47. Factor x(g).
2*(g - 2)**2*(g + 31)**2
Suppose -25*o + 8458 = 8333. Let f(z) be the first derivative of -3/2*z**2 - 15*z + 3/4*z**4 + o*z**3 - 31. Suppose f(c) = 0. Calculate c.
-5, -1, 1
Determine z, given that 68/9*z**3 - 2/9*z**5 + 250/9 - 50*z - 2/3*z**4 + 140/9*z**2 = 0.
-5, 1, 5
Let b be ((-6)/(-4))/(21/(-112)). Let l = 10 + b. Factor 0*s + 9*s - 15*s**l + 2*s + 5*s**3 - s.
5*s*(s - 2)*(s - 1)
Determine v, given that -3/2*v**2 + 3/2*v**4 - 237/2*v**3 + 0 + 237/2*v = 0.
-1, 0, 1, 79
Let b(x) be the third derivative of -x**6/720 - 109*x**5/360 + 28*x**4/9 - 113*x**3/9 - 1834*x**2. Factor b(j).
-(j - 2)**2*(j + 113)/6
Let j be -17*3/9*(-3 + 0). Suppose 0 = -j*w - 0 - 0. Let w*o + 130 - 8*o + 35*o**2 + 53*o - 120 = 0. What is o?
-1, -2/7
Let k(t) be the first derivative of -60 + 10/3*t**3 - 8/5*t + 9/10*t**4 + 12/5*t**2. Let k(l) = 0. Calculate l.
-2, -1, 2/9
Let u(k) be the first derivative of 23*k**4/4 - 71*k**3/9 - 68*k**2/3 + 4*k/3 - 792. Find f such that u(f) = 0.
-1, 2/69, 2
Let w(j) be the second derivative of 9*j**5/20 - 433*j**4/4 - 291*j**3/2 + 435*j**2/2 - j - 580. Factor w(p).
3*(p - 145)*(p + 1)*(3*p - 1)
Let d be (-1 + -1)/(-228 + 326)*-14. What is b in 2/7 - 2/7*b - d*b**2 + 2/7*b**3 = 0?
-1, 1
Suppose o = -4*h - 2, 0*o - 2*h - 8 = -3*o. Solve -2*w**3 + 0*w**3 + 4 - 4*w**3 + 24*w**o + 2*w - 32*w**2 = 0.
-1, 2/3
Let o(d) = d**3 + d - 1. Let b(f) = -8*f**3 + 8*f**2 + 2*f + 9. Let l(t) = -t**3 + t**2 + t. Let z(k) = b(k) + 4*l(k). Let c(q) = 9*o(q) + z(q). Factor c