Let l = c - 616. Factor 0*k - k**2 - 5/2*k**l + 0.
-k**2*(5*k + 2)/2
Suppose 0 = -14*b - 33 - 37. Let c(y) = -y**5 + y**4. Let j(n) = -4*n**5 + 3*n**3 + 5*n**2 - 4*n. Let a(i) = b*c(i) + j(i). Suppose a(d) = 0. Calculate d.
-1, 0, 1, 4
Let q(b) be the second derivative of 1/105*b**7 - 2*b + 1/25*b**5 + 1/25*b**6 + 0*b**3 + 0*b**4 + 53 + 0*b**2. Factor q(g).
2*g**3*(g + 1)*(g + 2)/5
Let p be (3780/63 - 54)/(6/2). Determine z so that -10 - 1/2*z**3 + 5/2*z**p + 2*z = 0.
-2, 2, 5
Let k = -171 + 176. Factor 88*s**4 - s**k - s**5 + 2*s**3 - 8*s - 80*s**4 - 20*s**2 + 16 + 4*s**5.
2*(s - 1)**2*(s + 2)**3
Let b(o) be the second derivative of 6 - 1/4*o**4 + 9/20*o**5 + 2*o + 1/10*o**6 - 3/2*o**3 + 0*o**2. Solve b(z) = 0 for z.
-3, -1, 0, 1
Let t(i) = i**2 - 2. Let u(w) = 16*w**2 + 44*w + 16. Suppose 0 = 78*j - 84*j + 6. Let n(p) = j*u(p) - 12*t(p). Factor n(q).
4*(q + 1)*(q + 10)
Suppose -8*j - 115 = -13*j. Suppose 17 = -v + 4*v - s, -4*s - j = -3*v. Let g - 3*g**3 + 6*g**2 + v*g - 5*g - 4*g = 0. Calculate g.
0, 1
Let h = 0 + 6. Let s be (-13 + h + -5)*(-2)/8. Factor -6*o + 9/2 + 2*o**s - o**2 + 1/2*o**4.
(o - 1)**2*(o + 3)**2/2
Let b be -8 - (4 - (-112)/(-7)). Let s be (-36)/(-70) + (360/84 - b). Factor s*q**2 + 2/5 - 6/5*q.
2*(q - 1)*(2*q - 1)/5
Let h(p) be the first derivative of 14*p**5/15 + 92*p**4/3 - 362*p**3/3 + 236*p**2/3 + 232*p/3 + 848. Solve h(k) = 0.
-29, -2/7, 1, 2
Let k(q) = -20*q**2 - 19*q + 91. Let y(n) = 7*n**2 + 6*n - 34. Let o(b) = 6*k(b) + 17*y(b). Factor o(t).
-(t + 4)*(t + 8)
Let s(k) = k**4 + k**2 + 2*k - 4. Let t(n) = -5*n**4 + n**3 - 139*n**2 - 649*n + 24. Let w(g) = 6*s(g) + t(g). Suppose w(d) = 0. What is d?
-7, 0, 13
Let d(t) be the first derivative of 19/10*t**2 - 9/5*t + 1/20*t**4 + 64 - 11/15*t**3. Let d(z) = 0. Calculate z.
1, 9
Let m(s) = -3*s**2 + 8*s - 42. Let k(z) = 8*z**2 - 17*z + 85. Let i(h) = -4*k(h) - 10*m(h). Factor i(a).
-2*(a - 4)*(a + 10)
Let z(t) be the first derivative of -1/17*t**2 + 1/34*t**4 + 2/51*t**3 + 70 - 2/17*t. Factor z(o).
2*(o - 1)*(o + 1)**2/17
Let x(v) be the third derivative of v**6/1350 - 41*v**5/900 + v**4/9 - 17*v**3/2 + 24*v**2 + 2. Let y(w) be the first derivative of x(w). Factor y(u).
2*(u - 20)*(2*u - 1)/15
Let l = -662742 - -662745. Solve -2/9*j**4 - 160/9*j + 350/9 - 52/3*j**2 - 32/9*j**l = 0.
-7, -5, 1
Let o = -14/55 - -797/2915. Let v = o - -103/159. Let v*r**3 + 4/9 - 2/9*r**2 - 2/9*r**4 - 2/3*r = 0. What is r?
-1, 1, 2
Let f(g) = g**2 - 18*g + 31. Let w(v) = -v**2 + 14*v - 25. Let y(n) = -6*f(n) - 7*w(n). Factor y(o).
(o - 1)*(o + 11)
Let a(g) be the third derivative of -g**5/15 - 71*g**4/6 - 472*g**3 + 6173*g**2. Find l, given that a(l) = 0.
-59, -12
Let w be (-42)/4*((-1110)/105 + 10). Let b be 140/(-49) + w - (-10)/(-5). Factor b*z**4 - 12/7*z**3 - 2/7*z - 2/7*z**5 + 8/7*z**2 + 0.
-2*z*(z - 1)**4/7
Let c = 144 - 142. Find z such that 635*z**3 - 1 - 30*z**c - 3*z**4 - 602*z**3 + 1 = 0.
0, 1, 10
Let x be 507/20 - 14010/3736. Find m, given that x + 168/5*m**3 - 4/5*m**5 + 348/5*m + 392/5*m**2 + 12/5*m**4 = 0.
-3, -1, 9
Let z(v) be the second derivative of 0 + 1/18*v**4 - 1/45*v**6 + 0*v**2 - 1/15*v**5 + 1/126*v**7 - 123*v + 1/6*v**3. Find l such that z(l) = 0.
-1, 0, 1, 3
Suppose 0 = -8*z - 86 + 342. Let w be z/(-90)*-3 - (-6)/(-9). Suppose 0*j - w*j**2 + 8/5 = 0. Calculate j.
-2, 2
Let r(h) = -105*h**3 + 1203*h**2 - 1365*h + 309. Let w(g) = 39*g**3 - 451*g**2 + 512*g - 116. Let j(s) = -8*r(s) - 21*w(s). Factor j(q).
3*(q - 6)*(q - 1)*(7*q - 2)
Let v(u) be the first derivative of -3*u**4/4 - 59*u**3 + 3*u**2/2 + 177*u - 1141. Factor v(c).
-3*(c - 1)*(c + 1)*(c + 59)
Let m(o) be the first derivative of o**5/40 - 23*o**4/16 + 22*o**3 + 23*o**2/8 - 529*o/8 - 1717. Factor m(h).
(h - 23)**2*(h - 1)*(h + 1)/8
Let w(s) be the first derivative of -s**7/560 - s**6/240 + s**5/80 + s**4/16 - s**3/3 - 19*s**2 + 122. Let l(a) be the third derivative of w(a). Factor l(h).
-3*(h - 1)*(h + 1)**2/2
Suppose 0 = -5*s - 3*b - 369, b + 255 - 36 = -3*s. Let i be 1/((-30)/(-9))*(-30)/s. Solve -9/4*a**2 + i*a**3 - 27 + 27/2*a = 0.
6
Let a = 657 + -644. Suppose -9*z + a*z - 32 = 4*k, -4*k - 20 = 0. Factor -2/3*d**5 - 2*d**4 + 4/3*d**2 - 4/3*d**z + 2/3 + 2*d.
-2*(d - 1)*(d + 1)**4/3
Suppose 0 = -5642*b + 5675*b. Factor -1/7*i**2 + 18/7*i + b.
-i*(i - 18)/7
Let k(z) be the second derivative of z**4/126 + 8*z**3/21 + 3*z**2 + 83*z. Factor k(f).
2*(f + 3)*(f + 21)/21
Let s(u) be the first derivative of u**3/21 + 827*u**2/14 + 118*u - 3325. Let s(o) = 0. Calculate o.
-826, -1
Solve 21/4*q**3 + 32*q - 5/2*q**4 - 360 - 1/4*q**5 + 151/2*q**2 = 0.
-9, -4, 2, 5
Let r be ((-2847)/15)/(62/155). Let h = r - -475. Let h*u**2 - 2*u - 5/2 = 0. Calculate u.
-1, 5
Let o be ((-1)/2)/((-15)/270). Solve -8*r**5 - 12*r**3 + 4*r**2 - 15*r**3 - o*r**3 + 44*r**3 - 4*r**4 = 0.
-1, -1/2, 0, 1
Solve 0 + 472/5*d**2 - 936/5*d - 2/5*d**3 = 0.
0, 2, 234
Let t(v) be the first derivative of 1024/5*v - 16/15*v**3 + 21/25*v**5 + 576/5*v**2 - 1/30*v**6 - 61/10*v**4 + 259. Factor t(s).
-(s - 8)**3*(s + 1)*(s + 2)/5
Let i(c) = 5*c**2 + 12*c + 24. Let l(s) be the second derivative of s**4/2 + 13*s**3/6 + 27*s**2/2 + 2*s. Let z(u) = 5*i(u) - 4*l(u). Find h such that z(h) = 0.
-6, -2
Let v(q) = -6*q**2 + 7200*q + 35. Let w(x) = 8*x**2 - 10800*x - 49. Let s(j) = -14*v(j) - 10*w(j). Factor s(c).
4*c*(c + 1800)
Suppose 5*h - 20 = h. Let w(z) be the second derivative of -5*z**4/4 - z**3 - z + 30. Let f(s) = 8*s**2 + 3*s. Let a(x) = h*f(x) + 3*w(x). Factor a(t).
-t*(5*t + 3)
Let k(l) = -3*l**2 - l + 2. Let n(g) = -14*g**2 + 51*g - 112. Let x(v) = 5*k(v) - n(v). Let b be x(-58). Factor -6*t - b - 3/2*t**2.
-3*(t + 2)**2/2
Let h = 128 - 126. Solve 4*n**4 - 108 - 2*n**4 + 54*n - 8*n**h + 31*n**2 - 14*n**3 - 5*n**2 = 0.
-2, 3
Let j(k) be the second derivative of 8 - 29/39*k**3 - 24*k - 1/78*k**4 + 30/13*k**2. Factor j(n).
-2*(n - 1)*(n + 30)/13
Let c be 760/32 - -2*(-6)/(-48). Let j(b) be the second derivative of 6*b + 1/4*b**4 + 0 - 4*b**3 + c*b**2. Factor j(x).
3*(x - 4)**2
Let w be 0*(99/22 + -4). Let p(s) be the second derivative of 1/6*s**4 + 8*s - 1/3*s**3 + 0*s**2 + w. Factor p(l).
2*l*(l - 1)
Suppose a = -3*o + 5*a + 13, 2*o - a - 12 = 0. Suppose -f = -o*f + 30. What is q in 8*q**5 + 7*q**5 + 5*q**3 + 25*q**4 + 0*q**f + 5*q**5 = 0?
-1, -1/4, 0
Suppose 5*o - 2*m = 38, -m = -3*m + 2. Let -10*p - 1544 + o*p**2 + 1504 - 3*p**2 = 0. Calculate p.
-2, 4
Suppose -3*v + 7*v = 24*v - 40. Let b(j) be the third derivative of 1/30*j**5 + 0*j**4 + 0*j**6 + 0*j**3 - 1/105*j**7 + 11*j**v + 0 + 0*j. Factor b(m).
-2*m**2*(m - 1)*(m + 1)
Factor -1/2*g**4 + 6 + 3/2*g**2 - 10*g + 3*g**3.
-(g - 6)*(g - 1)**2*(g + 2)/2
Let y be (-33)/(-9) + 33550/(-2562) + 10. Factor 47/7*i**2 - 36/7*i + y - 15/7*i**3.
-(i - 2)*(i - 1)*(15*i - 2)/7
Suppose -18*c + 51 = -39. Suppose 0 = -o + m + 12, c*m - 6 = 9. Factor -20*x - 5*x**4 + 10*x**3 - 42 + o*x**2 - 58 + 80.
-5*(x - 2)**2*(x + 1)**2
Let z(y) = 2*y**3 - 1 + y**3 + 16 + 32*y + 19*y**2. Let g be 1*1/5*(-2 - -7). Let q(w) = -w**3 - w**2 - 1. Let i(r) = g*z(r) - q(r). Let i(v) = 0. Calculate v.
-2, -1
Let l(s) = s**2 + 3416*s + 729340. Let b(r) = 3416*r + 729348. Let t(z) = -3*b(z) + 4*l(z). Factor t(n).
4*(n + 427)**2
Let v = 244361/40 - 6109. Let k(m) be the second derivative of -1/2*m**2 - 10*m + 0 - 1/6*m**4 + v*m**5 + 5/12*m**3. What is s in k(s) = 0?
1, 2
Let f(y) = 3*y**4 - 36*y**3 - 36*y**2 + 132*y - 63. Let m(c) = 9*c**3 + 35 - 15 - c**4 - 4 - 33*c + 9*c**2. Let j(i) = 2*f(i) + 9*m(i). Factor j(g).
-3*(g - 3)*(g - 1)**2*(g + 2)
Suppose 4*n = 8*z - 5*z + 21, -z = n. Determine v so that 27*v + n*v**2 + 1190 - 600 - 620 = 0.
-10, 1
Let a(p) be the second derivative of -1 - 6/7*p**2 - 11/21*p**3 - 113*p - 2/21*p**4. Factor a(l).
-2*(l + 2)*(4*l + 3)/7
Let n(h) be the first derivative of -2*h**3/3 + 85*h**2 + 572. Factor n(i).
-2*i*(i - 85)
Let a(s) be the first derivative of -5 + 8/21*s**3 + 1/21*s**4 + 0*s**2 + 27*s. Let y(l) be the first derivative of a(l). Solve y(q) = 0 for q.
-4, 0
Factor 608/9*q + 610/9 - 2/9*q**2.
-2*(q - 305)*(q + 1)/9
Let i be 3*25/(-15) + 99. Suppose i*u = 93*u + 3. Suppose -2/3*w**2 - 2/3*w + 14/9*w**u + 4/9 - 2/3*w**4 = 0. Calculate w.
-2/3, 1
Suppose 0 = -4672*u + 4465*u + 414. Determine i,