t i(g) = 0. What is g?
-16, -1, 4
Suppose -38 = 7*m - 73. Factor -110*y**2 + 10*y**m - 12*y**4 + 30*y - 8*y**4 - 751 + 786 - 160*y**3 - 25*y**4.
5*(y - 7)*(y + 1)**3*(2*y - 1)
Let t be 1540/242 - 116/319. Let f(x) be the third derivative of -x**2 + 1/840*x**t + 0 + 0*x**3 + 1/56*x**4 - 5*x - 1/105*x**5. Factor f(n).
n*(n - 3)*(n - 1)/7
Let g(n) = -n - 23*n**2 + 40*n**2 - 19*n**2. Let u(j) = 3*j**2 + 33*j - 30. Let c(b) = 2*g(b) + u(b). Factor c(m).
-(m - 30)*(m - 1)
Let v(c) be the second derivative of -5*c**8/252 - 4*c**7/315 - 7*c**2 + 47*c. Let r(f) be the first derivative of v(f). Determine b, given that r(b) = 0.
-2/5, 0
Suppose -12*k = k - 351. Factor k*w - 3*w**3 - 70*w - 14*w - 60 - 27*w**2 - 15*w.
-3*(w + 2)**2*(w + 5)
Let r(v) be the second derivative of -5*v**7/441 - 62*v**6/315 - 7*v**5/30 + 160*v**4/63 + 44*v**3/21 + 4045*v + 2. Find m such that r(m) = 0.
-11, -3, -2/5, 0, 2
Let l be ((-14)/(98/7))/((-1)/995). Let o = -1979/2 + l. Determine v, given that o*v**2 + 1/2*v**4 + 1/2*v**5 - 2*v + 0 - 9/2*v**3 = 0.
-4, 0, 1
Let d(y) be the third derivative of -y**5/12 - 55*y**4/8 + 175*y**3/3 + 177*y**2 - 2*y. Factor d(r).
-5*(r - 2)*(r + 35)
What is j in -126*j**2 + 0 - 6*j**3 - 216*j + 3/2*j**4 = 0?
-6, -2, 0, 12
Factor 14/19*c + 0 + 16/19*c**2 + 2/19*c**3.
2*c*(c + 1)*(c + 7)/19
Let m(j) = -j**3 - j**2 + 13*j + 1. Let x be m(-4). Let o(r) = 6*r**3 - 5*r**2 - 4. Let f(g) = -6*g**3 + 4*g**2 + 3. Let i(h) = x*o(h) - 4*f(h). Factor i(p).
p**2*(6*p - 1)
Let h be ((-160)/(-12) - 14)/(1/(-6)). Let m(s) be the first derivative of -4/3*s**3 + h*s + 9 + 0*s**2. Solve m(j) = 0.
-1, 1
Suppose -58*v = -40*v - 22284. Solve -1257*f - 2*f**4 + 12*f**2 - v*f + 6 + 2479*f = 0.
-3, 1
Factor -43*z**3 - 69*z**2 + 39*z**3 + 0*z**5 - 24*z + 3*z**5 - 26*z**3 - 15*z**4 - 33*z**3.
3*z*(z - 8)*(z + 1)**3
Let o(d) be the third derivative of 2/735*d**7 + 0*d - 4/35*d**5 + 2/21*d**4 - 90*d**2 + 32/21*d**3 + 1/210*d**6 + 2. Factor o(x).
4*(x - 2)**2*(x + 1)*(x + 4)/7
Suppose -3*t - 5*k + 17 = -6*k, -t + 24 = -4*k. Let -t*r + 99*r**3 - 124*r**3 + 24*r + 5*r**5 = 0. What is r?
-2, -1, 0, 1, 2
Let v be -1*(-4)/46*(-29)/435. Let q = 1049/2415 + v. Factor -6/7*d - q*d**2 + 0.
-3*d*(d + 2)/7
Solve 2/3*u**2 + 688/3 - 60*u = 0 for u.
4, 86
Let f(a) be the second derivative of -16/5*a**2 + a + 43/15*a**4 - 5 - 9/25*a**5 - 52/15*a**3. Factor f(d).
-4*(d - 4)*(d - 1)*(9*d + 2)/5
Let k(t) be the second derivative of t**6/105 - 4*t**5/35 + t**4/3 + 8*t**3/21 - 15*t**2/7 - 340*t + 2. Suppose k(c) = 0. Calculate c.
-1, 1, 3, 5
Let v = 729 + -727. Suppose 2*m - 3*r - 31 = -0*m, -3*m - 2*r = -14. Factor 39/2*t**3 + m*t + 59/2*t**2 - v.
(t + 1)*(3*t + 2)*(13*t - 2)/2
Let d = -554 - -556. Factor -9 + 16*f + 4*f**d + 5 - 11 - 5.
4*(f - 1)*(f + 5)
Let r be 28/(-8)*113/(80682/(-68)). Suppose r*v**5 + 3*v**2 - 5/3*v**4 + v**3 + 0*v + 0 = 0. What is v?
-1, 0, 3
Let b(u) = -2*u - 45. Let t be b(-25). Suppose y - 8 + t = 0. Factor 5*w**3 + 0*w**3 - w**3 + 10*w - 15*w**2 + w**y.
5*w*(w - 2)*(w - 1)
Suppose 2*f + 5*g = 6*g + 567, -f = 4*g - 279. Factor -f - 493 - 2*n**2 - 203 - 100*n - 271.
-2*(n + 25)**2
Let w(z) be the second derivative of -5445/4*z**3 - 46*z - 97/8*z**5 - 1/4*z**6 + 6655/2*z**2 + 0 - 1705/8*z**4. Factor w(x).
-5*(x + 11)**3*(3*x - 2)/2
What is v in -492876 + 3*v + 492507 - 4*v**2 + 373*v**2 - 3*v**3 = 0?
-1, 1, 123
Let y(z) = 2*z**2 - z - 1. Let k(l) = 41 - 2*l**2 - 24 + 24*l + 14*l**2 + 19. Let m(w) = -k(w) + 4*y(w). Factor m(h).
-4*(h + 2)*(h + 5)
Let a(s) = 2*s**3 - s**2 - 9*s - 13. Suppose 0*b - 4*b = -v - 29, -v - 22 = -3*b. Let k(c) = 2*c**3 - 8*c - 12. Let m(q) = b*k(q) - 6*a(q). Factor m(z).
2*(z - 1)*(z + 1)*(z + 3)
Suppose -19*d + 20*d + 5*l = -5, 2*l = -3*d + 11. Let -27 - 123/4*x**4 + 663/8*x**3 - 171/2*x + 21/8*x**d + 231/4*x**2 = 0. Calculate x.
-1, -2/7, 1, 6
Let m(n) = 175*n**2 - 12270*n + 178740. Let w(b) = 16*b**2 - 1116*b + 16249. Let u(z) = 4*m(z) - 45*w(z). Factor u(k).
-5*(2*k - 57)**2
Let p be (2/(-6) - 2)*-9. Factor 6*n**4 + 15*n**2 + p*n + 0*n**3 - 10 + 5*n**3 - 26*n - 11*n**4.
-5*(n - 2)*(n - 1)*(n + 1)**2
Let q(b) be the second derivative of -b**6/15 + 161*b**5/5 - 25921*b**4/6 + 460*b. Solve q(m) = 0.
0, 161
Let s(h) be the first derivative of 9/20*h**5 + 27/4*h**2 - 21/16*h**4 + 56 + 1/8*h**6 - 6*h - 7/4*h**3. Let s(m) = 0. Calculate m.
-4, -2, 1
Let q(y) be the first derivative of -y**6/360 + y**5/15 + 3*y**4/8 + 2*y**3 + 2*y + 4. Let d(h) be the third derivative of q(h). Suppose d(r) = 0. What is r?
-1, 9
Determine p, given that 3/2*p**2 + 950907/2 - 1689*p = 0.
563
Let b = -142803/28 - -35706/7. Suppose 3/8*h - 3/8*h**3 + b*h**2 - 3/4 = 0. Calculate h.
-1, 1, 2
Let f(p) = -867*p**2 + 198*p - 18. Let j = 27 + -26. Let z(c) = -c + c + j + 0*c + c. Let k(d) = -f(d) - 6*z(d). Factor k(r).
3*(17*r - 2)**2
Let a = -291 - -295. Let o be 72/(-48)*a/(-18). Solve 0 + 1/3*t + 2/3*t**2 + o*t**3 = 0 for t.
-1, 0
Factor -63/5*k**2 + 1/5*k**4 + 2/5*k**3 - 108/5*k + 756/5.
(k - 7)*(k - 3)*(k + 6)**2/5
Let l be (-16)/(-24)*(94 + 2). Suppose -4*u - l = -12*u. Factor d**4 - u*d**2 + 0*d**2 + 2*d**4 + d**4 + 4*d**3.
4*d**2*(d - 1)*(d + 2)
Let d(a) be the third derivative of -52*a**2 - 1/1176*a**8 - 1/210*a**6 - 2/105*a**5 + 4/735*a**7 + 0*a**3 + 0 + a + 1/28*a**4. Determine m so that d(m) = 0.
-1, 0, 1, 3
Suppose 0 = -9*v - 6497 + 6542. Let j(u) be the third derivative of -u**4 + 0 + 1/6*u**3 + 12/5*u**v + 39*u**2 + 0*u. Factor j(n).
(12*n - 1)**2
Let q(y) be the first derivative of -y**5/20 - 7*y**4/16 + 17*y**3/6 + 5*y**2 + 815. Solve q(h) = 0.
-10, -1, 0, 4
Factor 146*a - 2*a**3 + 10*a**2 - 606 + 296 + 156.
-2*(a - 11)*(a - 1)*(a + 7)
Let m be 7 - 2 - (-910)/(-252). Let y(z) be the first derivative of -23 - 5/3*z**2 - 2/3*z - m*z**3. Determine f, given that y(f) = 0.
-2/5
Let j(l) be the first derivative of 1/15*l**6 - 2/5*l - 3/25*l**5 + 1/3*l**3 - 25 + 3/10*l**2 - 1/4*l**4. Determine x so that j(x) = 0.
-1, 1/2, 1, 2
Let j(o) = 19*o**3 - 202*o**2 - 69*o + 4. Let s(f) = 115*f**3 - 1215*f**2 - 415*f + 25. Let g(z) = -25*j(z) + 4*s(z). Solve g(i) = 0.
-1/3, 0, 13
Let g = -31404 - -62809/2. What is y in 3 - 1/2*y - 7/2*y**2 + g*y**4 + 1/2*y**3 = 0?
-3, -1, 1, 2
Let o(c) = -7*c**2 + 17*c - 100. Let i(l) = -10*l**2 + 18*l - 104. Let n(d) = -3*i(d) + 4*o(d). Solve n(s) = 0.
-11, 4
Let n(b) = 3*b**3 + 12*b**2 - 26*b - 45. Let t(m) = 6*m**3 + 24*m**2 - 51*m - 87. Let w(c) = 9*n(c) - 5*t(c). Determine x so that w(x) = 0.
-5, -1, 2
Let x(a) be the third derivative of a**5/300 - a**4/24 + a**3/5 + 1919*a**2. Factor x(p).
(p - 3)*(p - 2)/5
Let r = -39 + 129. Let 12*j**5 - 138*j**2 - 99*j - 27 - r*j**3 - 27*j**4 - 20*j**5 + 5*j**5 = 0. What is j?
-3, -1
Suppose 2*p = -2*o - 1504, 0 = 11*p - 7*p - 16. Let a be (-6)/(o/15) + 8/48. Factor -a*s**3 + 2/7*s + 2/7*s**4 - 6/7*s**2 + 4/7.
2*(s - 2)*(s - 1)*(s + 1)**2/7
Let x(i) be the first derivative of i**6/3 + 4*i**5/5 - 2*i**4 - 4*i**3/3 + 3*i**2 - 27. Factor x(j).
2*j*(j - 1)**2*(j + 1)*(j + 3)
Let h(p) be the first derivative of 3*p**4/16 - 119*p**3/4 - 375*p**2 - 1524*p + 5341. Factor h(w).
3*(w - 127)*(w + 4)**2/4
Let k(n) be the first derivative of -n**6/36 - 17*n**5/60 - n**4/2 - 37*n**3 - n**2/2 - 132. Let d(p) be the third derivative of k(p). Factor d(v).
-2*(v + 3)*(5*v + 2)
Let n(w) be the third derivative of 0 - 73*w**2 + 0*w - 2/25*w**5 + 4/5*w**4 + 1/300*w**6 - 64/15*w**3. Factor n(i).
2*(i - 4)**3/5
Suppose 0 = u - 2*m, 4*u = u - 2*m - 8. Let s be (-8)/(1*u) - (-6798)/(-1751). Let -8/17*j + 6/17 + s*j**2 = 0. What is j?
1, 3
Suppose m = -y - 34 - 23, -234 = 4*m + 2*y. Let o be 2/8 + (-16605)/m. Let 16*w - 21 - 594*w**2 + o*w - 53*w + 486*w**3 - 11 = 0. Calculate w.
1/3, 4/9
Factor -213*a**2 - 195 + 4*a + 212*a**2 + 40*a.
-(a - 39)*(a - 5)
Let n(d) = -2*d**2 + 52*d + 3. Let q = 383 + -382. Let c(i) = 2*i + 1. Let a(h) = q*n(h) - 3*c(h). Determine z so that a(z) = 0.
0, 23
Let h(c) be the second derivative of 3*c**5/100 + 21*c**4/20 + 43*c**3/5 + 144*c**2/5 + 409*c + 2. Solve h(f) = 0 for f.
-16, -3, -2
Let w(x) be the first derivative of -x**3/3 + 11*x**2 + 75*x - 1537. Factor w(d).
-(d - 25)*(d + 3)
Let u(z) be the first derivative of 0*z**2 + 1/4*z**3 - 110 - 12*z. Factor u(t).
3*(t - 4)*(t + 4)/4
Suppose