**2
Let o = 15/1742 + 167127/12194. Factor -2/7*q**3 - o*q - 128/7 - 24/7*q**2.
-2*(q + 4)**3/7
Let u(i) be the first derivative of i**6/2 - i**5/5 - 11*i**4/4 + 3*i**3 + 2*i**2 - 4*i + 771. Factor u(z).
(z - 1)**3*(z + 2)*(3*z + 2)
Let n(q) = -2*q + 24. Suppose 238 = 2*m + 216. Let y be n(m). Find z such that -4/15 - 6/5*z**3 - 4/15*z**y + 8/15*z**4 + 6/5*z = 0.
-1, 1/4, 1, 2
Let l(g) be the second derivative of g**4/12 - 2*g**3 + 16*g**2 + 64*g + 4. Factor l(v).
(v - 8)*(v - 4)
Let k = -60567/7 - -181715/21. Solve -4/3*i - k*i**2 + 2 = 0.
-3, 1
Suppose f = -m + 13, -5*f - 7 = -3*m + 32. Let g(r) be the first derivative of r - 3/4*r**3 - 5/32*r**4 - 3/4*r**2 - m. Factor g(i).
-(i + 2)**2*(5*i - 2)/8
Let s(z) be the second derivative of z**4/28 + 401*z**3/14 - 7768*z. Factor s(j).
3*j*(j + 401)/7
Let n(w) be the third derivative of 0*w + 18*w**2 - 1/2184*w**8 - 1/195*w**6 - 1/195*w**5 - 2/39*w**3 + 4/1365*w**7 + 0 + 5/156*w**4. What is j in n(j) = 0?
-1, 1, 2
Let l be 555/(-20) - -2*(-1)/8. Let d = -25 - l. Suppose 0*s**3 + 6*s**4 - 10*s**2 + 18*s**5 - 10*s**d + 12*s**2 = 0. Calculate s.
-1, 0, 1/3
Let k be 0 - 13/(-364)*7*0. Let -2/9*y**2 + 2/9*y**4 + 0 + k*y + 2/3*y**5 - 2/3*y**3 = 0. Calculate y.
-1, -1/3, 0, 1
Let k(s) be the second derivative of 197*s**4/4 + 199*s**3/2 + 3*s**2 + 244*s + 2. Suppose k(l) = 0. What is l?
-1, -2/197
Let s(i) be the first derivative of 5*i**4/4 + 40*i**3/3 - 2200*i**2 - 64000*i - 5851. What is z in s(z) = 0?
-20, 32
Find j, given that 0 - 3/5*j**4 - 16/5*j + 8/5*j**3 - 1/5*j**5 + 12/5*j**2 = 0.
-4, -2, 0, 1, 2
Let g be (-1)/(-7)*(105 - 56). Let n be -1*(2 - 28/g). Factor 0 - 12/7*h**n + 3/7*h**3 + 12/7*h.
3*h*(h - 2)**2/7
Let c = 150 + -226. Let x = -74 - c. What is k in -31*k**5 - 13*k**3 - k + 29*k**5 + 8*k**x - k + k**3 + 8*k**4 = 0?
0, 1
Find h such that 45*h + 219*h - 3*h**4 - 5157*h**3 + 2590*h**3 + 201*h**2 + 108 + 2609*h**3 = 0.
-2, -1, 18
Let u be 10 + 10/(-5) + (67 - 55)/(-1 - 1). Let v = 12/43 + 136/129. Factor -v*j**u - 1/3*j**3 + 6 + j.
-(j - 2)*(j + 3)**2/3
Suppose 3*q - 2 = 5*l, -7*q + 55 = -2*q + 2*l. Solve -17*d - q*d**2 + d**4 + 18*d**2 + 12*d**2 - 8*d**3 - d = 0.
0, 2, 3
Let t(a) be the first derivative of 2*a**3/3 + 3548*a**2 + 6294152*a + 9063. Find p such that t(p) = 0.
-1774
Let j be 10/(-40)*-32 + (-6)/(-1)*-1. Let x(t) be the first derivative of 13 - 3*t**j - 2/3*t**3 + 8*t. Let x(z) = 0. What is z?
-4, 1
What is d in 129/2*d**2 - 18*d**3 - 27/4*d**4 + 81/2*d - 135/4 + 3/2*d**5 = 0?
-3, -1, 1/2, 3, 5
Let j = 122 - 64. Suppose -4*s - 2*t = -j, -4*s - 3*t + 55 = -0*t. Factor -11*o**3 + s*o - 2*o**2 + 2 - 10 + 5*o**3.
-2*(o - 1)*(o + 2)*(3*o - 2)
Let v(h) = -h**3 - 10*h**2 + 26*h + 24. Let m be v(-14). Let s = m - 47. Factor s - 69*i**2 + 9*i**3 - 81*i + 18*i**2 - 418.
3*(i - 7)*(i + 1)*(3*i + 1)
Let l = -4/150365 + 300758/1052555. Factor 12/7*h + 0 + l*h**4 - 22/7*h**2 + 8/7*h**3.
2*h*(h - 1)**2*(h + 6)/7
Let j be 182/(-28)*(-40)/52. Let q(n) be the third derivative of 1/24*n**6 - 5/12*n**j + 0 - 10/3*n**3 + 0*n - 18*n**2 + 5/3*n**4. Find r, given that q(r) = 0.
1, 2
Let f(n) = -9*n**5 + 25*n**4 + 45*n**3 - 61*n**2. Let s(q) = 12*q**5 - 33*q**4 - 60*q**3 + 81*q**2. Let x(k) = -9*f(k) - 7*s(k). Find j, given that x(j) = 0.
-2, 0, 1, 3
Let b = -19561/5 - -39127/10. Factor 9*s**2 - 42*s + b*s**3 + 44.
(s - 2)**2*(s + 22)/2
Let l(d) be the first derivative of 5*d**4/9 - 46*d**3/27 + 16*d**2/9 - 2*d/3 - 1051. What is q in l(q) = 0?
3/10, 1
Suppose -16*c - 62 + 110 = 0. Factor 4*s**4 + 11*s**c + 2091*s + 52*s**2 - 47*s**3 - 200 - 1911*s.
4*(s - 5)**2*(s - 1)*(s + 2)
Factor 1933/7*q**3 - 86/7*q**4 - 516*q**2 + 0 + 252*q + 1/7*q**5.
q*(q - 42)**2*(q - 1)**2/7
Let h(y) = -18*y**2 + 458*y - 156. Let s(j) = -7*j**2 + 183*j - 60. Let r(b) = -10*h(b) + 26*s(b). Suppose r(l) = 0. What is l?
0, 89
Let o(k) be the second derivative of -1/6*k**4 + 0 + 1/10*k**5 + 12*k**2 - 8/3*k**3 + 78*k. Determine u so that o(u) = 0.
-3, 2
Let r(f) = f**2 + 5*f - 3. Let d be r(-6). Let w be -1*72/(-28) + (-16)/28. Solve -d*j**3 - j + 2*j - 6 - 2*j**4 - j**4 + 9*j**2 + w*j = 0 for j.
-2, -1, 1
Let r = 67491009488835791/1214837832949902 + 4367/6527385543. Let k = r + -1/62038. Suppose 100/3*n + k + 4/9*n**3 + 20/3*n**2 = 0. Calculate n.
-5
Let l(p) be the third derivative of -p**5/10 - 35*p**4/24 + 4*p**3/3 + 20*p**2. Let u be l(-6). Factor -30*v - 51*v**2 + 21 - 23 - 33 + 56*v**u.
5*(v - 7)*(v + 1)
Let t be (2 - 4)*((-105)/(-14))/5. Let n be 10/54*-6*t. Determine c, given that -1/3*c**2 + n*c - 25/3 = 0.
5
Factor 729620 + 3820*l - 8989*l**2 + 2999*l**2 + 2993*l**2 + 3002*l**2.
5*(l + 382)**2
Let x = -3366 - -3369. Let k(u) be the third derivative of 24*u**2 + 0*u + 5/3*u**x - 185/24*u**4 + 0 + 35/12*u**5. Factor k(p).
5*(p - 1)*(35*p - 2)
Let c(a) be the third derivative of 0*a + 1/1176*a**8 + 0 - 1/60*a**6 + 0*a**7 - 28*a**2 + 0*a**3 - 1/35*a**5 + 0*a**4. Let c(s) = 0. What is s?
-2, -1, 0, 3
Let j(y) = -y**3. Let n(c) = c - 9. Let m be n(15). Let h(u) = 10*u**2 + 580 + u**3 - 3*u**3 - 14*u - m*u**3 - 574. Let i(z) = h(z) - 6*j(z). Factor i(x).
-2*(x - 3)*(x - 1)**2
Let l(g) be the first derivative of -14*g**5/5 - 5*g**4/2 + 74*g**3/3 - 31*g**2 + 12*g - 9349. Find n such that l(n) = 0.
-3, 2/7, 1
Let y = -1108 - -1119. Let x(s) = -5*s + 57. Let q be x(y). Suppose 11/2*f**q + 10/3*f + 5/6*f**4 + 11/3*f**3 + 2/3 = 0. What is f?
-2, -1, -2/5
Let i(x) be the first derivative of -3*x**2 - 1/10*x**4 + 18/5*x - 62 + 14/15*x**3. Factor i(c).
-2*(c - 3)**2*(c - 1)/5
Let y(f) be the third derivative of 0 + 0*f - 9/80*f**5 + 24*f**2 + 3/2*f**3 + 81/32*f**4 + 1/480*f**6. Let z(p) be the first derivative of y(p). Factor z(o).
3*(o - 9)**2/4
Suppose -20*k = -4*k - 8*k. Let d(c) be the third derivative of 25*c**2 + 1/15*c**3 + 0 - 1/75*c**5 + k*c + 1/525*c**7 + 0*c**6 + 0*c**4. Factor d(a).
2*(a - 1)**2*(a + 1)**2/5
Let w be 8/(-2) - (23 + -36). Suppose -w = m + 3*r, -4*m + 15 = -4*r - 13. Factor -m + 11/2*o + 7/2*o**2.
(o + 2)*(7*o - 3)/2
Let r be (49 - 13)/(-3) + 12 + 0 + 0. Factor -2/11*f**3 + r*f + 0 + 18/11*f**2.
-2*f**2*(f - 9)/11
Let a be ((-70)/8 - -9)*(-8)/(-12). Let o(f) be the second derivative of 0 + 0*f**2 - 20*f + 10*f**4 + a*f**6 + 40/3*f**3 + 9/4*f**5. Factor o(n).
5*n*(n + 1)*(n + 4)**2
Let m(s) = s**3 + 5*s**2 - 3*s + 11. Let g be m(-7). Let v be (58 + g)*2/(-20). Solve -v - 9/5*j**2 - 12/5*j = 0 for j.
-2/3
Let f(q) be the second derivative of 2*q**6/45 - 28*q**5/15 + 244*q**4/9 - 448*q**3/3 + 384*q**2 + 753*q. Suppose f(m) = 0. What is m?
2, 12
Let w(r) be the second derivative of r**6/60 - r**5/4 - r**4/8 + 35*r**3/3 + 49*r**2 + 1227*r. Factor w(m).
(m - 7)**2*(m + 2)**2/2
Let u(m) be the second derivative of 1/42*m**7 + 8 - 3/20*m**5 - 1/10*m**6 + 0*m**2 - m**3 - 11*m + 11/12*m**4. Suppose u(i) = 0. Calculate i.
-2, 0, 1, 3
Let w(t) be the second derivative of t**4/18 + 58*t**3/9 + 184*t**2 - 11271*t. Factor w(m).
2*(m + 12)*(m + 46)/3
Suppose -3*z - 49 + 16 = 0. Let q(s) = -s**3 - 11*s**2 - 3*s - 21. Let h be q(z). Determine g, given that h + 2*g + 4*g**2 - 3*g**2 - 9 - 6 = 0.
-3, 1
Let a(z) be the third derivative of z**7/525 - 61*z**6/300 + 479*z**5/75 - 13*z**4 - 120*z**3 - 2482*z**2. Suppose a(i) = 0. Calculate i.
-1, 2, 30
Let b = -160 - -163. Find v such that -45*v**5 + v**4 + 140*v**b + 89*v**2 - 65*v**4 + 131*v**2 - 60*v - 16*v**4 + 105*v**3 = 0.
-3, -1, 0, 2/9, 2
Let p(g) be the third derivative of g**6/480 - 19*g**5/240 - 11*g**4/12 - 23*g**3/6 + 5*g**2 - 185*g. Factor p(u).
(u - 23)*(u + 2)**2/4
Let g(b) be the second derivative of -b - 7/6*b**4 - 1/10*b**5 - 16/3*b**3 + 25 - 12*b**2. Find s such that g(s) = 0.
-3, -2
Determine o, given that -1165/2*o**2 + 625/4*o**5 + 405/4*o + 2725/2*o**3 - 25/4 - 4125/4*o**4 = 0.
1/5, 1, 5
Let h = -531 - -612. Suppose 81 = -5*p + h. Factor -l + 1/2*l**4 + p - 1/2*l**2 + l**3.
l*(l - 1)*(l + 1)*(l + 2)/2
Suppose 267/10*v + 133/5 + 1/10*v**2 = 0. Calculate v.
-266, -1
Let f(v) be the third derivative of 11/12*v**5 + 17/36*v**6 + 1/126*v**7 - 78*v**2 + 0*v**4 + 0*v + 0*v**3 + 2. Let f(t) = 0. What is t?
-33, -1, 0
Let d(z) be the first derivative of 19/6*z**2 + 34 + 1/18*z**3 + 361/6*z. Solve d(m) = 0.
-19
Suppose 170 - 170 = -t. Let s(g) be the second derivati