). Factor -4/7*r**u + 8/7*r**2 - 8/7 + 4/7*r.
-4*(r - 2)*(r - 1)*(r + 1)/7
Factor -36*y**2 + 406*y**4 - 30*y**2 + 157*y**3 - 408*y**4 - 185*y**3.
-2*y**2*(y + 3)*(y + 11)
Suppose 3*h - m - 1 = 24, -m = -4*h + 34. Factor -h + 82*z - 154*z + 72*z + z**2.
(z - 3)*(z + 3)
Let h be 6 + (9312/(-39900))/((-6)/(-195)). Let k = 2/133 - h. Solve -k + 4/5*c**4 + 18/5*c**3 + 22/5*c**2 + 0*c = 0.
-2, -1, 1/2
Suppose -121*g = 32*g - 165*g + 36. Factor 12/5 - 24/5*q + 3*q**2 - 3/5*q**g.
-3*(q - 2)**2*(q - 1)/5
Let m = -1731 - -2947. Let q = 1219 - m. Find p such that -3/2*p - 9/4*p**4 + 3/4*p**q + 9/4*p**2 + 0 + 3/4*p**5 = 0.
-1, 0, 1, 2
Let m(i) = -90*i**3 - 3149*i**2 + 38*i + 110. Let z be m(-35). Let 0 + 104/5*c**4 + 28/5*c**z + 108/5*c**3 - 16/5*c + 16/5*c**2 = 0. What is c?
-2, -1, 0, 2/7
Suppose -65*u = -60*u - 25. Let v(h) be the third derivative of 0*h - 8/3*h**3 + 0*h**4 - 5*h**2 + 0 + 1/15*h**u. Factor v(y).
4*(y - 2)*(y + 2)
Suppose -3*a = -9, 4*k = 2*k + 2*a + 2. Let z be 1008/384*k/7. Factor 3/2*w + 3/2*w**4 - z*w**3 - 3/2*w**2 + 0.
3*w*(w - 1)**2*(w + 1)/2
Let k(l) be the third derivative of l**6/600 + 859*l**5/300 - 431*l**4/15 + 1726*l**3/15 - 2*l**2 + 1502. Solve k(m) = 0 for m.
-863, 2
Let o(g) = 2*g + 8. Let j be o(-2). Determine r so that -50*r**j - 45*r**4 + 94*r**4 + 4*r**2 = 0.
-2, 0, 2
Let a(p) = 15*p**2 - 550*p + 505. Let b(t) = -8*t**2 + 277*t - 251. Let l(y) = -3*a(y) - 5*b(y). Suppose l(s) = 0. What is s?
1, 52
Let x(m) be the second derivative of -m**5/35 - m**4/21 + 40*m**3/7 - 216*m**2/7 + 1510*m. Factor x(t).
-4*(t - 6)*(t - 2)*(t + 9)/7
Let t(q) be the third derivative of 2*q**7/105 - q**6/2 - 6*q**5/5 + 16*q**4/3 - 725*q**2. Solve t(h) = 0.
-2, 0, 1, 16
Let j be -10 + 8 + (-1 - 103). Let s = j - -112. Factor -2*g**2 - 16*g + 6*g**2 - 2*g**2 - s*g**2.
-4*g*(g + 4)
Let 200*x - 53*x**4 + 14*x**4 + 240*x**2 + 23*x**4 + 18*x**4 + 45*x**3 - 3*x**3 = 0. What is x?
-10, -1, 0
Suppose -4*p = -9*p. Let k be 25 - (-27 + 1392/20 - 18). Let 2*a**2 + k*a**3 + 0*a + p = 0. Calculate a.
-5, 0
Let i(h) be the third derivative of -h**5/50 + 7*h**4/8 + 343*h**3/10 + h**2 - 1773*h. Determine u so that i(u) = 0.
-7, 49/2
Factor -634*z**3 + 200343*z**2 + 402590*z + 1/2*z**4 + 403225/2.
(z - 635)**2*(z + 1)**2/2
Factor 1922/11*j - 124/11*j**2 + 0 + 2/11*j**3.
2*j*(j - 31)**2/11
Factor -176*h**2 - 166*h**4 - 108*h**3 + 138*h**4 - 36 - 130*h + h**5 + h**5 - 4*h**5.
-2*(h + 1)**3*(h + 2)*(h + 9)
Let g(s) be the first derivative of -1/54*s**4 - 2/9*s**3 - 15 + 0*s**2 + 18*s. Let y(z) be the first derivative of g(z). Factor y(k).
-2*k*(k + 6)/9
Find h such that -9*h**3 + 15*h**4 + 7*h**5 - 4*h**5 + 231443*h**2 + 36*h**3 - 231422*h**2 + 6*h = 0.
-2, -1, 0
Suppose -29/3*j - 37/12*j**2 + 1/4*j**3 - 5 = 0. What is j?
-2, -2/3, 15
Let i = 887/2 - 443. Let k(b) = -19*b - 171. Let c be k(-9). Factor -1/4*w**5 + 0 - i*w**2 + 0*w + c*w**4 + 3/4*w**3.
-w**2*(w - 1)**2*(w + 2)/4
Suppose -184/9*x**3 + 61/3 + 184/9*x - 182/9*x**2 - 1/9*x**4 = 0. What is x?
-183, -1, 1
Let m = -37250 - -37250. Let x(u) be the third derivative of 1/12*u**5 + m*u**3 + 0*u + 14*u**2 - 5/24*u**4 - 1/42*u**7 + 1/24*u**6 + 0. Factor x(q).
-5*q*(q - 1)**2*(q + 1)
Let g(q) be the first derivative of -3/25*q**5 + 3/5*q**4 + 57 + 0*q**2 + 0*q + 0*q**3. Suppose g(u) = 0. What is u?
0, 4
Solve 419*o**3 - 647*o**2 - 1286 - 45*o**4 + 166 + 294*o**2 - o**5 - 19*o**4 + 259*o**2 - 1696*o = 0.
-70, -1, 4
Suppose -5*c + 6*a - 2*a = -197, c - 3*a = 46. Factor 34*o**2 + c*o + 11*o**2 - 5*o**3 + 73*o.
-5*o*(o - 11)*(o + 2)
Let u(b) be the second derivative of 3*b**5/80 - 117*b**4/16 - 237*b**3/8 - 357*b**2/8 - 13*b - 7. Factor u(h).
3*(h - 119)*(h + 1)**2/4
Let s(g) = 2*g + 1. Let m(b) = 3 + 228*b**2 - 229*b**2 + 5*b - 7 - 3*b. Let z(j) = -3*m(j) + 12*s(j). Factor z(r).
3*(r + 2)*(r + 4)
Let q(o) be the third derivative of -o**5/60 + 253*o**4/4 - 192027*o**3/2 + 1424*o**2. Suppose q(v) = 0. Calculate v.
759
Suppose d = -10*a + 11*a + 3, 5*a = 5. Factor -375*w**2 + w**3 + d*w + w**3 - 84 - 2*w + 391*w**2.
2*(w - 2)*(w + 3)*(w + 7)
Let h = -1172791 + 1172795. Factor -9/2*b**2 + 15/4*b**3 + 6 - 3/4*b**h - 3*b.
-3*(b - 2)**3*(b + 1)/4
Let a be 1434/(-2868)*0/(-2 + 0 + 1). Factor 33/5*x**2 + a + 18/5*x + 3/5*x**4 + 18/5*x**3.
3*x*(x + 1)*(x + 2)*(x + 3)/5
Suppose 0 = -t - 2*t + c + 473, 5*t - 760 = -4*c. Factor -68*z - t*z + 33*z**2 + 53*z - 5 + 35.
3*(z - 5)*(11*z - 2)
Let -2/5*f**4 + 1588/5*f + 106 + 524/5*f**3 + 1584/5*f**2 = 0. Calculate f.
-1, 265
Let 3026514*i**3 - 3026582*i**3 - i**4 - 134*i**2 + 7*i**4 + 52*i = 0. Calculate i.
-2, 0, 1/3, 13
Let d(i) be the third derivative of 19/60*i**4 + 4/75*i**5 + 4/5*i**3 + 53*i**2 + 0 + 0*i + 1/300*i**6. Factor d(w).
2*(w + 1)*(w + 3)*(w + 4)/5
Let q(f) be the second derivative of -f**4/60 + 134*f**3/5 - 80802*f**2/5 - 1503*f. Factor q(p).
-(p - 402)**2/5
Let c(h) = -495*h**2 - 1017*h - 1012. Let y(x) = 354*x**2 + 678*x + 674. Let r(m) = -5*c(m) - 7*y(m). Factor r(f).
-3*(f - 114)*(f + 1)
Let i(g) be the third derivative of 37*g**5/60 - g**4/8 - g**3/3 + 13*g**2. Let t be i(-1). Factor -3 + 27*k**3 - 9*k**3 + 52*k + t*k**3 - 100*k**2 - 5.
4*(k - 1)*(2*k - 1)*(7*k - 2)
Suppose 2*x - 42 = -11*x + 23. Let b(o) be the first derivative of 7 - 1/5*o**x + 0*o**3 - 3/4*o**4 + 0*o**2 + 0*o. Solve b(c) = 0 for c.
-3, 0
Suppose -12 = 3*v, 4*o + 2*v = 3*v + 408. Suppose 2*g - 67 = o. Factor 17 - 1 - 38*y**3 + 6*y**4 - 67*y - 5*y + g*y**2.
2*(y - 2)**3*(3*y - 1)
Suppose 5*q = 17 + 8, 3*v + 5*q = 37. Factor -b**v + 0*b**4 - 3*b**4 - 52*b**3.
-4*b**3*(b + 13)
Let c(b) = b**4 + b**2 - b + 1. Let s(i) = 9*i**4 + 10*i**3 + 25*i**2 + 7*i + 11. Let x = 147 - 145. Let k(d) = x*s(d) - 14*c(d). Factor k(f).
4*(f + 1)**3*(f + 2)
Suppose -9*r - 5*q + 55 = -5*r, -2*r - 4*q + 20 = 0. Let t be (-2 - (-32)/r) + (-6)/(-15). Determine w so that 2/17*w**2 + 0 + t*w = 0.
0
Let f = -10127 + 70905/7. Suppose 1/7*z**3 - 4/7*z + 4/7*z**2 - f = 0. What is z?
-4, -2, 2
Let r(m) be the third derivative of m**8/1008 + m**7/105 + 13*m**6/360 + m**5/15 + m**4/18 + 3730*m**2. Determine z so that r(z) = 0.
-2, -1, 0
Let y = 11397 - 11397. Let a(z) be the second derivative of y*z**2 + 3/5*z**5 - z + 15 - 2*z**3 + 8/3*z**4. Factor a(b).
4*b*(b + 3)*(3*b - 1)
Let l(u) be the third derivative of u**7/1680 + u**6/480 - u**5/4 + 13*u**4/24 - u**3/2 + 169*u**2. Let k(h) be the second derivative of l(h). Factor k(q).
3*(q - 4)*(q + 5)/2
Let z(b) = -13*b**3 - 24*b**2 - 45*b - 22. Let k(o) = -37*o**3 - 72*o**2 - 135*o - 66. Let v(q) = 6*k(q) - 17*z(q). Factor v(p).
-(p + 1)**2*(p + 22)
Factor 1/5*q**3 - 301/5*q**2 + 1192/5*q - 1188/5.
(q - 297)*(q - 2)**2/5
Let m = 0 - -5. Suppose -m*f = -4*u + 5 + 1, 3*f - 3*u + 6 = 0. Solve -4*a + 3*a**2 + 4 - a**f - 2*a = 0.
1, 2
Let y be 1/3 + (-222)/(-144). Let c = -145140 - -145143. Suppose -39/8*p**2 + 9/4 - y*p + 9/2*p**c = 0. Calculate p.
-2/3, 3/4, 1
Let g(y) = -y**5 + 5*y**2 - 1. Let d(j) = 16*j**5 + 52*j**4 - 76*j**3 - 352*j**2 - 168*j + 12. Let s(p) = d(p) + 12*g(p). Solve s(b) = 0.
-14, -1, 0, 3
Let y = -36284 - -36293. Let p(u) be the second derivative of -y*u**2 + 1/8*u**4 + 0 - 11/4*u**3 + 26*u. Let p(d) = 0. Calculate d.
-1, 12
Let o be (-297)/(-15) - (-12)/60. Let n(a) be the second derivative of 5/24*a**3 + 0 - o*a + 1/2*a**2 + 1/48*a**4. Solve n(z) = 0 for z.
-4, -1
Let h(o) = 4*o**2 + 10*o - 10. Let v be h(1). Find q, given that 4*q**3 + 4*q**5 + 2*q**v - 7*q**5 + 20*q**3 - 8*q**2 - 3*q**5 = 0.
-2, 0, 1/3, 2
Suppose -58 = -5*j - 3*z + 108, 0 = -3*j - 2*z + 100. Suppose -12*v = -20*v + j. Factor -49*d**2 + 26*d**2 + 27*d**2 - v*d.
4*d*(d - 1)
Let d be 5 - (471/2)/(384/8). Let v(n) be the first derivative of 18 + 15/16*n**2 + 1/2*n**3 + 3/4*n + d*n**4. Factor v(q).
3*(q + 1)**2*(q + 2)/8
Suppose 0 = -12*n + 17*n - 25. Let u = n - 5. Factor -5*x**2 + 2 + 4*x**2 + 2*x - x + u.
-(x - 2)*(x + 1)
Let x = 308/13 + -1514/65. Let r(y) be the second derivative of -1/150*y**6 + 9*y + 1/60*y**4 - 4/15*y**3 + x*y**2 + 1/20*y**5 + 0 - 1/210*y**7. Solve r(i) = 0.
-2, 1
Let b = -11591/5 + 11607/5. Let u(s) be the first derivative of -b*s**5 + 4/3*s**6 + 0*s - s**2 + 4/3*s**3 + 28 + 3/2*s**4. Find k such that u(k) = 0.
-1/2, 0, 1/2, 1
Let i(r) = r**4 - 8*r**3 - 118*r**2 + 1