+ 0*i**2 - 1/2*i**5 + 0 - 2*i**3 + 5/2*i**4 = 0.
0, 1, 4
Let p = 17241 - 17237. Let x(r) be the second derivative of 0*r**5 + 1/135*r**6 + 0 + 0*r**2 + 2/27*r**3 + 6*r - 1/18*r**p. Solve x(t) = 0 for t.
-2, 0, 1
Let a(y) = -68*y**3 - 212*y**2 + 638*y + 29. Let g(r) = -7*r**3 - 21*r**2 + 64*r + 3. Let p(w) = 6*a(w) - 58*g(w). Factor p(i).
-2*i*(i - 2)*(i + 29)
Let x be (-2)/6 - (-34)/66. Suppose -594*h + 135*h = -918. Determine i so that 0 + 0*i**h + 2/11*i**3 + 0*i - x*i**4 = 0.
0, 1
Let z(f) be the first derivative of f**6/6 - f**5/5 - f**4 + 4*f**3/3 + 2992. Factor z(h).
h**2*(h - 2)*(h - 1)*(h + 2)
Let l(m) be the third derivative of 8/45*m**5 - 1/504*m**8 + 1/9*m**6 + 44*m**2 + 1/315*m**7 - m - 80/9*m**3 + 0 - 16/9*m**4. Determine w so that l(w) = 0.
-2, 2, 5
Let y(i) = i**3 - 22*i**2 - 39*i - 45. Let v be y(24). Let o = 173 - v. Factor 0 - 1/8*r**4 + 1/8*r**o - 1/8*r**3 + 1/8*r.
-r*(r - 1)*(r + 1)**2/8
Let j be 22/(-165) - ((-179936)/420 - 1). Let f = j - 429. Factor 2/7*x**2 - f*x + 0.
2*x*(x - 1)/7
Let u(k) = -2*k**5 - 16*k**4 + 56*k**3 + 244*k**2 + 260*k + 92. Let b(m) = -m**4 - 2*m**3 - m + 1. Let o(a) = 4*b(a) - 2*u(a). What is x in o(x) = 0?
-9, -1, 5
Let a(w) be the first derivative of -5/11*w**2 + 36/11*w - 12 - 4/33*w**3. Find q such that a(q) = 0.
-9/2, 2
Suppose -107*w + 104*w + 5*l - 14 = 0, -5*l = -w - 18. Let a(m) be the first derivative of -4/3*m**3 + w*m**2 + 8*m - 19. Find f, given that a(f) = 0.
-1, 2
Let b(g) be the third derivative of -5/6*g**4 + g + 1/30*g**5 + 0 - 57*g**2 + 3*g**3. Factor b(q).
2*(q - 9)*(q - 1)
Let r = -291117 - -291121. Find x such that 60/7*x + 18/7*x**2 - 24/7 - 15/7*x**r - 39/7*x**3 = 0.
-2, 2/5, 1
Suppose -1027*f - 976*f = -1947*f. Find d such that -9/2*d**3 + 3*d**4 + 2*d**2 + f*d + 0 - 1/2*d**5 = 0.
0, 1, 4
Let z be (-1 + 33)/(-4) + (137 - 127). What is b in 26/5*b**z + 0 - 8/5*b**3 - 6/5*b = 0?
0, 1/4, 3
Let c be 2/((-3)/30*-5). Factor 3*z**2 - c*z**2 + 400 + 5*z**2 - 260*z + 180*z.
4*(z - 10)**2
Let m(z) be the second derivative of -z**5/10 + 127*z**4/2 - 504*z**3 + 1508*z**2 + 3509*z. Determine u, given that m(u) = 0.
2, 377
Let g(m) be the first derivative of -7/19*m**4 - 126/19*m - 2/95*m**5 - 6*m**2 - 128/57*m**3 + 70. Find r such that g(r) = 0.
-7, -3, -1
Let j(q) be the third derivative of q**7/945 + q**6/180 - 7*q**5/270 - 5*q**4/36 + 2*q**3/3 + 185*q**2 - 3. Determine i so that j(i) = 0.
-3, 1, 2
Let g(m) be the third derivative of -m**5/30 + 77*m**4 - 923*m**3/3 + 21*m**2 - 5*m - 1. Let g(r) = 0. What is r?
1, 923
Let t(q) be the second derivative of q**7/252 + q**6/45 - q**5/24 - 3*q + 689. Factor t(n).
n**3*(n - 1)*(n + 5)/6
Let a(u) be the first derivative of 36*u - 64*u**2 + 22 - 1/6*u**4 - 16/3*u**3. Let o(l) be the first derivative of a(l). Solve o(k) = 0 for k.
-8
Suppose -5662*t + 1145*t = -7060 - 5210 - 1281. What is l in 5/2*l + t - 1/2*l**2 = 0?
-1, 6
Let 271/3*o - o**2 + 182/3 = 0. What is o?
-2/3, 91
Let f(t) be the second derivative of 9*t**3 - 6*t**5 + 0*t**2 + 7/10*t**6 + 6*t + 51/4*t**4 + 9. Suppose f(g) = 0. Calculate g.
-2/7, 0, 3
Let a(z) = -z**3 - z**2 - z + 78. Let h be a(0). Let t = -76 + h. Factor 3*d - 55*d**3 + 2*d**5 - 2*d**2 + 51*d**3 + t + 3*d**5 - 4*d**5.
(d - 2)*(d - 1)*(d + 1)**3
Solve -58*a**2 + 1379/8*a + 461/2 + 1/8*a**3 = 0.
-1, 4, 461
Let q(t) = -t + 1. Let u(g) = 7*g**2 + 21*g - 1. Let s(k) = k - 7. Let v be s(6). Let z = 144 + -149. Let n(h) = v*u(h) + z*q(h). Factor n(o).
-(o + 2)*(7*o + 2)
Let t = -651955 - -651960. Let s(k) = 9*k**2 + k. Let i be s(1). Find z such that 50/3*z**2 - 5*z**4 + i*z**3 - 5/3*z**t - 35*z + 15 = 0.
-3, 1
Let t(w) be the first derivative of -w**6/600 + w**5/200 + w**3 - 5*w**2/2 + 41. Let s(v) be the third derivative of t(v). Factor s(m).
-3*m*(m - 1)/5
Suppose -m + 2*f + 7 = 0, 3*m + 0*m = 2*f + 13. Suppose m*c - 7 + 1 = 0. Let -10*q**2 + 3*q**5 - 2*q**c - 4 + 4 + 9*q**4 = 0. Calculate q.
-2, 0, 1
Suppose -41*j + 44*j = 30. Suppose 6*c - 4*c = 216. Find m such that 1 + 4 + c*m**3 - j*m - 5*m**4 - 98*m**3 = 0.
-1, 1
Let j(y) be the second derivative of -y**5/70 - 11*y**4/84 + 4*y**3/21 - 9*y**2/2 - 37*y. Let m(i) be the first derivative of j(i). Let m(n) = 0. Calculate n.
-4, 1/3
Let l = 626 + -445. Let z = -181 + l. Factor 2/19*d**5 + z + 12/19*d**3 + 8/19*d**4 + 8/19*d**2 + 2/19*d.
2*d*(d + 1)**4/19
Let z = -2/7883 + 543935/31532. Factor -z*v**3 - 39/4*v**4 - 3/4*v**5 + 0 + 0*v - 33/4*v**2.
-3*v**2*(v + 1)**2*(v + 11)/4
Let m(z) be the third derivative of z**7/70 - 13*z**6/40 + 33*z**5/20 - 31*z**4/8 + 5*z**3 + 2*z**2 + 647*z. Factor m(s).
3*(s - 10)*(s - 1)**3
Let c(u) = 3*u**2 + 2*u + 3. Let w(j) = 47*j**2 + 130*j - 883. Let m(g) = 30*c(g) - 2*w(g). Factor m(x).
-4*(x - 8)*(x + 58)
Let r = -140 + 265. Factor -r*k - 7*k**4 + 9 + 95*k + 36*k**2 - 18*k**3 + 10*k**4.
3*(k - 3)*(k - 1)**3
Let k(c) be the first derivative of 3/2*c**4 + 0*c**2 + 0*c - 55 - 3/5*c**5 - c**3. Determine f, given that k(f) = 0.
0, 1
Let n = 24664 + -443951/18. Let s(p) be the second derivative of -21*p + 1/30*p**5 + 0 + 0*p**3 - n*p**4 + 0*p**2 + 1/45*p**6 - 1/63*p**7. Factor s(t).
-2*t**2*(t - 1)**2*(t + 1)/3
Let c(p) be the second derivative of p**7/21 - p**6/45 - 4*p**5/5 + 4*p**4/9 + 16*p**3/3 - 16*p**2/3 + 1136*p. What is a in c(a) = 0?
-2, 1/3, 2
Let y(t) be the third derivative of t**6/280 + 3*t**5/70 - t**4/56 - 15*t**3/7 + 1431*t**2. Factor y(j).
3*(j - 2)*(j + 3)*(j + 5)/7
Let c(z) be the third derivative of 0*z - 5/3*z**3 + 224*z**2 - 1/4*z**5 + 5/42*z**7 - 35/24*z**4 + 2 + 7/24*z**6. Factor c(t).
5*(t - 1)*(t + 1)**2*(5*t + 2)
Let r be (-16)/(-920) - (-5488)/1840. Solve 14/3 - r*k + 1/3*k**3 - 2*k**2 = 0 for k.
-2, 1, 7
Let v be (-14622)/(-285) - (9976/(-1102))/(-86). Factor 0 - 1/5*l**4 - 33/5*l**3 - v*l - 288/5*l**2.
-l*(l + 1)*(l + 16)**2/5
Let f be (-306)/(-255)*(-2)/(-30)*(-1980)/(-33). Factor f*o - 72/5*o**2 - 2/5.
-2*(6*o - 1)**2/5
Let s(o) = -9*o**3 + 184*o**2 - 458*o + 353. Let u(w) = -4*w**3 + 86*w**2 - 229*w + 177. Let p(i) = -6*s(i) + 14*u(i). Factor p(f).
-2*(f - 45)*(f - 4)*(f - 1)
Suppose 6*f = -6*f + 48. Suppose 6 = s + f. Factor -10*y - 26*y**4 + 0*y**5 + 15*y**s + 5*y**5 + 5*y**3 + y**4 + 10*y**4.
5*y*(y - 2)*(y - 1)**2*(y + 1)
Find o such that -3*o**2 - 30*o**2 + 30*o**2 - 24300 - 540*o = 0.
-90
Let x be (-5 - -10) + (-5205)/(-347). Suppose x*o - 4/3*o**2 - 56/3 = 0. What is o?
1, 14
Let z(m) be the second derivative of 3*m**5/10 + 5*m**4/2 - 43*m**3/6 - 7*m**2 - 20*m - 1. Let v(a) = a**3 - 2*a - 2. Let f(o) = 21*v(o) - 3*z(o). Factor f(w).
3*w*(w - 29)*(w - 1)
Let t(o) be the first derivative of 202 - 8/3*o**2 + 16/3*o - 2/3*o**4 - 28/9*o**3. Factor t(k).
-4*(k + 2)**2*(2*k - 1)/3
Let b(f) be the third derivative of f**7/210 - f**6/240 - 31*f**5/120 + 19*f**4/16 - 9*f**3/4 + 39*f**2 + 67*f. Determine t, given that b(t) = 0.
-9/2, 1, 3
Let n(o) be the second derivative of 13*o**5/70 + 9*o**4/7 + 47*o**3/21 + 6*o**2/7 + 2*o + 373. Factor n(x).
2*(x + 1)*(x + 3)*(13*x + 2)/7
Let i(m) be the first derivative of -9*m**5/20 - 7*m**4/8 + 8*m**3 - 75*m**2/2 + 120. Let n(g) be the second derivative of i(g). Factor n(q).
-3*(q - 1)*(9*q + 16)
Let d(s) be the third derivative of s**6/360 + 139*s**5/90 + 272*s**4/9 + 240*s**3 + 219*s**2 + 2*s - 3. What is p in d(p) = 0?
-270, -4
Let b(i) be the third derivative of -i**7/840 + i**6/72 + i**5/120 - 5*i**4/24 - 33*i**3/2 + 46*i**2 + 1. Let m(f) be the first derivative of b(f). Factor m(v).
-(v - 5)*(v - 1)*(v + 1)
Factor 0 + 36/5*o + 18/5*o**2 - 4/5*o**3 - 2/5*o**4.
-2*o*(o - 3)*(o + 2)*(o + 3)/5
Let w = -88871 + 88925. What is k in -w - 117*k - 201/2*k**2 - 9*k**4 - 171/4*k**3 - 3/4*k**5 = 0?
-3, -2
Let g(r) be the first derivative of -181*r**3/9 - 91*r**2/3 - r/3 + 191. Factor g(b).
-(b + 1)*(181*b + 1)/3
Let c(n) = 19*n**2 + 5798*n + 919. Let x be c(-305). Factor x - v**2 + 15/2*v.
-(v - 8)*(2*v + 1)/2
Let w(l) be the first derivative of l**7/28 - 3*l**6/5 + 27*l**5/8 - 25*l**4/4 - 76*l + 92. Let n(a) be the first derivative of w(a). Factor n(h).
3*h**2*(h - 5)**2*(h - 2)/2
Let a(i) be the third derivative of -i**8/105 + 7778*i**7/525 - 157626*i**6/25 + 78732*i**5/25 + 1326*i**2. Determine n so that a(n) = 0.
0, 1/4, 486
Let c be ((-38)/(-133) - (-12)/7) + 2. Let f(