ine r so that 5*r**3 - 100*r**2 + 10161653 + 5*r**4 - 10161653 = 0.
-5, 0, 4
Let l(f) = 31*f**2 + 3589*f + 1069178. Let o(h) = 9*h**2 + 1196*h + 356395. Let i(n) = 2*l(n) - 7*o(n). Factor i(v).
-(v + 597)**2
Let f(i) be the second derivative of -2*i**3/3 + 3*i**2/2 - 9*i. Let y be f(0). Factor -37*l**2 - l - 6*l**y + 65*l**2 - 32*l**2 - 4*l**4 - l**5.
-l*(l + 1)**4
Solve 28/9*d**2 - 46/9*d + 10/9*d**3 + 8/9 = 0.
-4, 1/5, 1
Solve -6*x - 72/11 - 2/11*x**3 - 20/11*x**2 = 0.
-4, -3
Suppose 14515*u + 6*u**2 + 14474*u - 236 - 29095*u = 0. Calculate u.
-2, 59/3
Let q be ((-54)/144 + 1/(-40)*-1135)*(-2)/(-26). Find z, given that 0 + 94/13*z**3 + 0*z - q*z**2 + 14/13*z**4 = 0.
-7, 0, 2/7
Let h(v) be the first derivative of -70 - 1/16*v**4 + 0*v + 1/6*v**3 + v**2. Let h(n) = 0. What is n?
-2, 0, 4
Let i be 36/(-270) + 112/168. Let -128/15 - 2/15*b**4 + 8/5*b**2 - i*b**3 + 64/15*b = 0. Calculate b.
-4, 2
Let y = -4245 - -4245. Let r(v) be the third derivative of 31*v**2 + 0*v + 0*v**5 + 1/360*v**6 + 0*v**3 - 1/72*v**4 + y. Factor r(t).
t*(t - 1)*(t + 1)/3
Let m(d) be the third derivative of d**8/336 - 22*d**7/105 + 24*d**6/5 - 256*d**5/15 - 2048*d**4/3 - 1150*d**2. Let m(i) = 0. What is i?
-4, 0, 16
Let y(g) be the second derivative of g**7/357 - g**6/5 + 72*g**5/17 - 862*g**4/51 - 64*g**3/17 + 2304*g**2/17 - 6*g + 112. Let y(a) = 0. Calculate a.
-1, 2, 24
Let p(j) be the first derivative of -4*j**3/3 + 1234*j**2 - 4920*j - 8757. Factor p(s).
-4*(s - 615)*(s - 2)
Let y = -79221/22 + 39627/11. Determine i so that 0*i + 1/4*i**3 + 0 + y*i**2 = 0.
-6, 0
Let n(f) = -f**2 + 12*f - 17. Let p = -189 + 172. Let h(g) = -3*g**2 + 36*g - 50. Let z(s) = p*n(s) + 6*h(s). Let z(o) = 0. What is o?
1, 11
Let y(j) be the first derivative of -16/21*j**3 + 1/7*j**4 - 256 + 0*j + 6/7*j**2. Factor y(p).
4*p*(p - 3)*(p - 1)/7
Let h(k) be the first derivative of -k**6/24 + k**5/2 + 5*k**4/24 - 5*k**3 + k**2/2 - 143*k - 36. Let x(g) be the second derivative of h(g). Factor x(q).
-5*(q - 6)*(q - 1)*(q + 1)
Let a be ((-6)/(-10) + 1)*45/2. Let f be (4/96)/(6/a). Factor 1/4*p**4 + 3/2*p**2 + p + p**3 + f.
(p + 1)**4/4
Let n be 18/27*(-1551)/(-2). Let x be (-170)/16 + n/47. Factor 3/8*z + x - 3/8*z**2 - 3/8*z**3.
-3*(z - 1)*(z + 1)**2/8
Let f(v) be the first derivative of v**6/2 + 228*v**5/5 + 225*v**4/4 + 1456. Suppose f(q) = 0. What is q?
-75, -1, 0
Let s(l) be the third derivative of l**8/131040 + 3*l**7/3640 + l**6/180 + 61*l**5/30 + 136*l**2 - 1. Let g(q) be the third derivative of s(q). Factor g(a).
2*(a + 1)*(a + 26)/13
Factor 30*y**2 + 0 + 0*y - 3/2*y**4 + 12*y**3.
-3*y**2*(y - 10)*(y + 2)/2
Let i = 216 + -168. Factor -19*o - o**2 - 41*o - 169 + i*o - 14*o.
-(o + 13)**2
Let y(n) be the third derivative of -n**7/42 + 93*n**6/4 - 78949*n**5/12 + 128805*n**4/2 - 767290*n**3/3 + 31*n**2 + 4*n + 4. Let y(f) = 0. Calculate f.
2, 277
Let x be ((-61)/(-5))/1 - (33 - (-20 + 42)). Let z be 2 + -3*6/15. Factor -4/5 + x*j**3 - 14/5*j - z*j**2.
2*(j - 2)*(j + 1)*(3*j + 1)/5
Suppose -49*a - 70*a = -34*a - 527 + 187. Suppose 2*x + 7/2*x**3 - 5/6*x**5 - 20/3*x**2 + 2*x**a + 0 = 0. Calculate x.
-2, 0, 2/5, 1, 3
Let m(r) be the second derivative of -r**6/90 + 17*r**5/15 - 289*r**4/6 - 11*r**3/6 - r - 1. Let k(b) be the second derivative of m(b). Factor k(a).
-4*(a - 17)**2
Suppose a - m = 0, 3*a - 4*m = -0*a. Suppose -4*b = 2*p - 20, -2*p = b - a*b - 11. Factor 21*o**2 - 9*o - 22*o**3 + 15*o**4 - 5*o**3 + 3*o - b*o**5.
-3*o*(o - 2)*(o - 1)**3
Suppose -35*b - 162*b + 76*b = -605. Factor 3/7*y**2 + 0*y + 3/7*y**3 + 0 - 3/7*y**4 - 3/7*y**b.
-3*y**2*(y - 1)*(y + 1)**2/7
Let o(r) be the first derivative of 16*r - 1/9*r**3 - 1/36*r**4 + 4/3*r**2 - 38. Let s(d) be the first derivative of o(d). Find j, given that s(j) = 0.
-4, 2
Let u = 1485 + -1485. Let a(g) be the second derivative of 1/14*g**7 + 1/2*g**4 + 2/5*g**6 + 0*g**2 + 0 + u*g**3 + 12*g + 3/4*g**5. Factor a(v).
3*v**2*(v + 1)**2*(v + 2)
Factor -69/2*x + 1/2*x**3 + 33/2*x**2 + 35/2.
(x - 1)**2*(x + 35)/2
Let t(h) be the first derivative of 2/15*h**3 + 166 + 4/5*h - 3/5*h**2. Factor t(z).
2*(z - 2)*(z - 1)/5
Let f(d) = 257*d + 519. Let s be f(-2). Solve -4/3*p**4 + 0 - 2/9*p**s + 0*p**2 + 0*p**3 + 0*p = 0 for p.
-6, 0
Let u(b) = -1 + 7*b**2 - 7*b + 7 + 4*b**3 + 4 - 5*b**3. Let q be u(6). Find z such that -4 + 91*z - 5*z**3 + 3*z**3 - 89*z + q*z**2 = 0.
-1, 1, 2
Let v be (-286)/(-33) + 2*3/(-9). Factor 6*h**4 + 8*h**4 + 9*h**4 + v*h**2 + 4*h**5 + 20*h**3 - 7*h**4.
4*h**2*(h + 1)**2*(h + 2)
Let c = -252/1717 + 8807501/6868. Let n = c + -1281. Factor n*g**2 + 9/2 + 33/8*g + 1/8*g**3.
(g + 3)**2*(g + 4)/8
Let q be 12/(-2)*((-21)/10)/(-7). Let a = 37/15 + q. Let -2*s**3 - 2/3*s + 0 + 2*s**2 + a*s**4 = 0. What is s?
0, 1
Suppose 1956/7*p + 478242/7 + 2/7*p**2 = 0. What is p?
-489
Let l(i) be the first derivative of i**6/180 - i**5/60 + i**4/72 - 82*i + 114. Let n(o) be the first derivative of l(o). Let n(z) = 0. What is z?
0, 1
Let q(y) be the first derivative of -4*y**3/3 - 38*y**2 + 1008*y + 1475. Factor q(w).
-4*(w - 9)*(w + 28)
Let q(w) = 6*w**4 + 8*w**2 - 4. Let n(v) = v**2 + 28*v + 101. Let d be n(-4). Let k(p) = 4*p**4 + 4*p**2 - 2. Let z(u) = d*k(u) - 3*q(u). Factor z(s).
2*(s - 1)**2*(s + 1)**2
Factor 2/3*h**5 + 284/3*h**3 + 274/3*h + 76/3*h**4 + 68/3 + 416/3*h**2.
2*(h + 1)**4*(h + 34)/3
Factor -66*l**3 + 8841*l**2 + 0*l**4 - 8841*l**2 + 2*l**4.
2*l**3*(l - 33)
Factor -119 - 16*t**3 + 75*t**2 - 21 - 60*t - 15*t**3 - 24*t**3 + 50*t**3.
-5*(t - 14)*(t - 2)*(t + 1)
Factor -260/3*g + 1/6*g**2 + 173/2.
(g - 519)*(g - 1)/6
Let v = 25276/285 - 2228/57. Factor -v*o + 961/5*o**2 + 16/5.
(31*o - 4)**2/5
Let z(y) = -60*y**3 - 1904*y**2 + 3819*y - 1907. Let i(b) = -14*b**3 - 476*b**2 + 955*b - 477. Let g(v) = -26*i(v) + 6*z(v). Solve g(a) = 0 for a.
-240, 1
Let 80 - 116/5*k**2 + 194/5*k**3 + 8*k**4 - 104*k + 2/5*k**5 = 0. What is k?
-10, -2, 1
Let f(m) = -11*m - 105. Let b be f(-10). Suppose -8 = -5*s - 4*t, 3*t = -0*s + b*s + 6. Suppose -1/10*r + s - 1/10*r**2 = 0. Calculate r.
-1, 0
Let d(v) be the third derivative of v**5/15 - 19*v**4/6 + 56*v**3 + 4*v**2 + 38. Factor d(i).
4*(i - 12)*(i - 7)
Suppose -144 = 1561*p + 1595*p - 3204*p. Factor 2*y + 10/3*y**p - y**4 - 1/3 - 4*y**2.
-(y - 1)**3*(3*y - 1)/3
Let a(w) = -13*w - 37. Let z be a(-4). Let x(i) = i**2 - 10*i - 73. Let j be x(z). Factor 10/3*q - 4/3 + 2/3*q**4 - 2/3*q**3 - j*q**2.
2*(q - 1)**3*(q + 2)/3
What is c in -156*c**3 - 3/4*c**5 + 75/4*c**4 + 498*c**2 - 660*c + 300 = 0?
1, 2, 10
Suppose 232*v = 200*v + 192. Let m(r) be the third derivative of 0 + 0*r + 1/525*r**7 + 2/75*r**v + 7/50*r**5 - 17*r**2 + 3/10*r**4 + 0*r**3. Factor m(q).
2*q*(q + 2)*(q + 3)**2/5
Solve 100*v**3 - 5000*v**2 - 2208*v**4 + 100000 + 4*v**5 - 10000*v + 1156*v**4 + 1132*v**4 = 0.
-10, 5
Suppose 0 = 48*y - 9*y - 8736. Suppose y = 49*f + 28. Factor -5/2*z**3 + 3/4*z - 9/4*z**5 - 3/2*z**2 + 21/4*z**f + 1/4.
-(z - 1)**3*(3*z + 1)**2/4
Suppose 10*l = 15*l - 45. Suppose -l*m + 2 = 2*o - 11*m, -4*o + 14 = m. Factor 0 + 2/5*v**o + 2/5*v**2 + 0*v.
2*v**2*(v + 1)/5
Determine q, given that -1/3*q**3 - 44/3*q**2 + 139/3*q - 94/3 = 0.
-47, 1, 2
Suppose 10*i - 62 - 46 = -17*i. Let q(p) be the first derivative of 0*p + 15 + 6/5*p**5 + 0*p**2 - 3/4*p**i - 2*p**3 + 1/2*p**6. Find k such that q(k) = 0.
-2, -1, 0, 1
Suppose 0 = -5*s + j + 14594, 3*s + 24*j - 28*j - 8753 = 0. Let k be s/(-630) + 6 - (-4)/30. Find g such that 33/2*g**2 - k*g + 0 + 75/2*g**4 - 105/2*g**3 = 0.
0, 1/5, 1
Let d be (-1638)/(-45) + -3 - 4/10. Factor -38 + 82 + 18*h - d*h**2 - 38 + 12*h**3 - 3*h.
3*(h - 2)*(h - 1)*(4*h + 1)
Let l(s) be the second derivative of 0*s**6 + 1/2*s**5 + 1 + 0*s**4 - 5/42*s**7 - 146*s - 5/6*s**3 + 0*s**2. Suppose l(v) = 0. What is v?
-1, 0, 1
Let y = 181/5 + -36. Suppose 0*s = -49*s - 42*s. Determine g, given that 0 + s*g - y*g**2 + 1/10*g**3 = 0.
0, 2
Let y(w) be the third derivative of -w**7/210 + 221*w**6/30 - 48841*w**5/10 + 10793861*w**4/6 - 2385443281*w**3/6 - 25*w**2 + 3*w. Factor y(r).
-(r - 221)**4
Let k = -222673 - -222675. Factor 1/4*a**4 + 6*a**k - 8*a - 2*a**3 + 4.
(a - 2)**4/4
Let f(a) be the first derivative of -106/3*a**2 + 5618/3*a + 41 + 2/9*a**3. Solve f(p) = 0.
53
Suppose q = -3*q + 16, o - 5*q = -20. Determine