*t - 509 = -3*d. Solve -4*m**2 - 157*m + 0*m**2 - 16 + d*m = 0 for m.
2
Let i = 43664/3 + -14702. Let q = i - -148. Determine x so that -2/9*x - q + 2/9*x**3 + 2/3*x**2 = 0.
-3, -1, 1
Suppose 29 + 16 = -15*w. Let d be (-90)/40*(-1 + (-1)/w). Factor 1/2*j**3 - 3/2*j**2 - 1/2 + d*j.
(j - 1)**3/2
Let m(q) be the second derivative of -q**6/720 - q**5/120 + q**4/16 + q**3/2 - 8*q. Let h(i) be the second derivative of m(i). Let h(f) = 0. Calculate f.
-3, 1
Factor -46*o + 356*o**2 + 96 - 47*o - 178*o**2 - 181*o**2.
-3*(o - 1)*(o + 32)
Let u = 3687/24050 - -1/1850. Factor -u*n**3 + 4/13*n**2 - 4/13 + 2/13*n.
-2*(n - 2)*(n - 1)*(n + 1)/13
Let y(k) be the third derivative of -k**5/30 + k**4/3 + 5*k**3/3 + k**2 + 36*k. Solve y(f) = 0.
-1, 5
Find n such that 0 - 55/3*n**2 + 5*n**4 + 5*n**3 - 5/3*n**5 + 10*n = 0.
-2, 0, 1, 3
Let w(a) be the third derivative of a**8/5040 - a**6/180 + 11*a**5/60 + 10*a**2. Let r(f) be the third derivative of w(f). Factor r(n).
4*(n - 1)*(n + 1)
Let v(x) = x**3 - 16*x**2 + 15*x + 5. Let a be v(15). Suppose -5*s - 6*z = -z - 5, -2*z - 19 = -a*s. Factor 26*y**s + y + y - 28*y**3.
-2*y*(y - 1)*(y + 1)
Let r(s) be the third derivative of 0 - 1/32*s**4 + 15*s**2 - 1/80*s**5 + 3/4*s**3 + 0*s. Determine a, given that r(a) = 0.
-3, 2
Let o be ((-336)/280)/((-63)/15). Factor -10/7*w**2 + o*w**3 + 18/7 + 6/7*w.
2*(w - 3)**2*(w + 1)/7
Suppose -3*x + 2*j + 44 = 0, -2*x + 4*j = 3*x - 76. Let q = x + -10. Find z such that 0 + 2*z + 3*z**2 + z + q + 2*z = 0.
-1, -2/3
Let k = -26420/7 + 3776. Factor 8/7*c**2 + 0 - 4/7*c**3 + k*c.
-4*c*(c - 3)*(c + 1)/7
Let c(p) = 85*p**3 - 35*p. Let o(v) be the third derivative of -7*v**6/120 + v**4/8 - v**2. Let u(j) = 2*c(j) + 25*o(j). Solve u(x) = 0.
-1, 0, 1
Let s(z) be the second derivative of z**5/45 - 26*z**4/27 + 142*z**3/27 - 92*z**2/9 + 8*z - 10. Factor s(x).
4*(x - 23)*(x - 2)*(x - 1)/9
Let h(p) be the second derivative of p**6/6 - p**5/4 - 5*p**4/4 + 5*p**3/6 + 5*p**2 + 44*p + 2. Find k, given that h(k) = 0.
-1, 1, 2
Let r(y) = 30*y**2 - 4200*y + 147200. Let u(m) = 5*m**2 - 700*m + 24532. Let l(n) = -4*r(n) + 25*u(n). Let l(o) = 0. What is o?
70
Let k(n) = -n**3 + 32*n**2 + 26*n + 234. Let f be k(33). Factor 1/11*u**f + 0 - 1/11*u**4 + 0*u + 2/11*u**2.
-u**2*(u - 2)*(u + 1)/11
Let l(r) be the third derivative of r**11/582120 - r**10/264600 - r**9/52920 - 7*r**5/10 + 39*r**2. Let f(g) be the third derivative of l(g). Factor f(h).
4*h**3*(h - 2)*(h + 1)/7
Suppose 0 = 4*v - 8 - 16. Let j = v - 1. Factor -12*m**3 - 3*m**j - 6*m**3 + 12*m**4 - 4*m**2 + 16*m**2 - 3*m.
-3*m*(m - 1)**4
Suppose 3 = 3*c - 6. Factor -p + 4*p**2 + 4*p**2 - 8*p**2 + p**c.
p*(p - 1)*(p + 1)
Let h = 58/7 + -283/35. Let v(z) = -2*z**2 - 133*z - 553. Let a be v(-62). Suppose -2/5*m**3 + 1/5*m**a + 1/5*m + h - 2/5*m**2 + 1/5*m**4 = 0. Calculate m.
-1, 1
Suppose -5*k - 10 = 2*o + o, -3*o + 2 = -k. Let u(q) be the third derivative of 1/120*q**5 - 1/480*q**6 + o + q**2 + 0*q - 1/12*q**3 + 1/96*q**4. Factor u(i).
-(i - 2)*(i - 1)*(i + 1)/4
Factor -51*t - 2601/2 - 1/2*t**2.
-(t + 51)**2/2
Let z(t) be the third derivative of -t**9/27216 - t**8/5040 - t**7/2520 - t**6/3240 + 7*t**3/6 - 5*t**2. Let b(q) be the first derivative of z(q). Factor b(p).
-p**2*(p + 1)**3/9
Let h be (-96)/(-280) + 23/(-65) + (-16)/(-104). Suppose 3/7*j**3 - h*j**4 + 0 - 4/7*j + 0*j**2 = 0. What is j?
-1, 0, 2
Let h = 8 - 5. Let x be (-1 + h)*(-20)/(-8). Suppose -3*a**x - 4*a**2 + a**5 + a + 2 + 2*a**4 - 3*a + 4*a**3 = 0. What is a?
-1, 1
Let i(q) = -3*q**3 + 15*q**2 - 12*q. Suppose 19*f = 22*f + 9. Let u(z) = 3*z**3 - 15*z**2 + 12*z. Let c(l) = f*i(l) - 2*u(l). Solve c(j) = 0.
0, 1, 4
Let f be 90/10 - 27/3. Let a(s) be the second derivative of 0*s**3 + 1/40*s**5 - s**2 + f + 1/8*s**4 + 2*s. Factor a(i).
(i - 1)*(i + 2)**2/2
Let j(f) be the first derivative of f**6/12 - 6*f**5/5 + 15*f**4/4 - 14*f**3/3 + 9*f**2/4 - 457. Factor j(g).
g*(g - 9)*(g - 1)**3/2
Let a = 46679 - 326752/7. Solve -3/7*r + 0 + a*r**2 = 0 for r.
0, 3
Let y(a) be the first derivative of -a**6/60 - 7*a**5/60 - 7*a**4/24 - a**3/3 + 10*a**2 - 9. Let v(r) be the second derivative of y(r). Factor v(h).
-(h + 1)*(h + 2)*(2*h + 1)
Let k(t) be the third derivative of 0 + 0*t**5 + 0*t + 1/1155*t**7 - 1/33*t**3 + 1/330*t**6 - 1/66*t**4 - 11*t**2. Find p such that k(p) = 0.
-1, 1
Let s = -174 - -699/4. Solve -s*t**2 + 3/4 - 3/4*t + 3/4*t**3 = 0.
-1, 1
Let x be 3 - (4/(-1325))/((-48)/50680). Let o = 2/159 - x. Factor -1/5*z**5 - 2/5*z**4 + 0 + 2/5*z**2 + o*z + 0*z**3.
-z*(z - 1)*(z + 1)**3/5
Factor -33/5*g**3 - 84/5*g + 3/5*g**4 + 96/5*g**2 + 0.
3*g*(g - 7)*(g - 2)**2/5
Factor -54*j - 1/8*j**5 + 25/8*j**4 - 171/8*j**3 + 459/8*j**2 + 0.
-j*(j - 16)*(j - 3)**3/8
Let z(r) be the third derivative of r**6/120 + r**5/20 - r**4/24 + r**3/6 - 9*r**2. Let m be z(-3). Factor -85*a**m + 83*a**4 - 6*a**3 - 2*a**2 + 2*a**3.
-2*a**2*(a + 1)**2
Factor 23/4*h + 6 - 1/4*h**2.
-(h - 24)*(h + 1)/4
Let z(k) be the third derivative of -k**6/80 - k**5/20 + 3*k**4/16 - 6*k**2 + 33. Factor z(y).
-3*y*(y - 1)*(y + 3)/2
Let f be -1*(6 - 25) - 2/2. Suppose 24*u - f*u = 0. Determine r, given that -8/7*r + 2/7*r**2 + u = 0.
0, 4
Let q = -3498 + 3502. What is i in -125/4*i - 1/4*i**5 + 50*i**2 + 4*i**q - 45/2*i**3 + 0 = 0?
0, 1, 5
Suppose -5*f + 5 = -j + 40, j = f + 19. Let z be j/84 + (-1)/(-4). Factor 0*q + 0 + 0*q**2 - z*q**3.
-3*q**3/7
Let c(s) = 60*s**2 - 1342*s - 13. Let g(y) = 9*y**2 - 224*y - 2. Let f(p) = 2*c(p) - 13*g(p). Let f(x) = 0. Calculate x.
-76, 0
Let k = -710 - -4974/7. Let -k*b - 22/7*b**2 + 0 - 38/7*b**3 - 20/7*b**4 = 0. Calculate b.
-1, -1/2, -2/5, 0
Let x(j) be the first derivative of -j**6/14 + 9*j**5/35 - 3*j**4/28 - 3*j**3/7 + 3*j**2/7 - 32. Suppose x(b) = 0. What is b?
-1, 0, 1, 2
Let v be 0*17*(-4)/(-136). Factor -10/7*t - 2/7*t**2 + v.
-2*t*(t + 5)/7
Suppose -2*i = 3*b - 3*i - 61, 58 = 3*b + 2*i. Suppose 5*x - 2*r - 50 = -0*x, 3*r - 15 = 0. Factor 27*q + 16*q**4 - 4*q**2 + 4*q**5 + x*q**2 + b*q**3 - 27*q.
4*q**2*(q + 1)**2*(q + 2)
Let m(l) be the first derivative of 7 - 35/4*l**4 - 20*l - 65/2*l**2 - l**5 - 25*l**3. Factor m(f).
-5*(f + 1)**3*(f + 4)
Suppose -22 = -2*g - 4*u, -5*g + 65 = -3*u + 8*u. Let r = -6 + g. Suppose 2*f + f**3 + r*f**3 - 9*f**3 + f**2 - f**4 - 3*f = 0. Calculate f.
-1, 0, 1
Let w(v) = -3*v**2 + 6*v + 1. Let x(k) = -8*k**2 + 13*k + 1. Let p(c) = -5*w(c) + 2*x(c). Factor p(j).
-(j + 1)*(j + 3)
Let k(q) be the second derivative of 1/60*q**5 + 0 + 2*q**2 - 1/36*q**4 - 4/9*q**3 + 19*q. Solve k(u) = 0 for u.
-3, 2
Factor -18/5*m**2 - 2/5*m**3 + 18/5*m + 0 + 2/5*m**4.
2*m*(m - 3)*(m - 1)*(m + 3)/5
Let y(g) be the third derivative of g**8/90720 + g**7/1260 + g**6/40 - 7*g**5/30 + 37*g**2. Let r(b) be the third derivative of y(b). Factor r(s).
2*(s + 9)**2/9
Let u(o) be the first derivative of -3*o**5/5 + 9*o**4/4 + 6*o**3 - 42*o**2 + 72*o + 79. Factor u(w).
-3*(w - 2)**3*(w + 3)
Let m be 51/68 + 13/4. Let j(i) be the first derivative of 0*i + 2/5*i**5 + 2*i**3 - 5 - i**2 - 3/2*i**m. Factor j(n).
2*n*(n - 1)**3
Suppose -12*f**2 + 7*f**2 - 197*f + 167*f + 135 = 0. What is f?
-9, 3
Factor 11/3*k + 8 + 1/3*k**2.
(k + 3)*(k + 8)/3
Let p(a) = -9*a + 49. Let k be p(4). Suppose 43 = 15*v + k. Factor -8/3 + 4/3*h**3 - 2/3*h**4 + 2*h**v - 8/3*h.
-2*(h - 2)**2*(h + 1)**2/3
Let t(q) = 7*q**3 + 79*q**2 + 1166*q + 5488. Let b(o) = -3*o**3 - 40*o**2 - 584*o - 2744. Let a(h) = -15*b(h) - 6*t(h). Suppose a(p) = 0. Calculate p.
-14
Let t(a) be the second derivative of -a**4/12 + a**3/3 + 5*a**2 + 10*a. Let k be t(-2). Factor 24/7*i + 8/7*i**3 + 9/7 + 1/7*i**4 + 22/7*i**k.
(i + 1)**2*(i + 3)**2/7
Let o = 521 - 6251/12. Let u(y) be the first derivative of -1/2*y**2 - 7 + o*y**3 + y. Factor u(h).
(h - 2)**2/4
Suppose -5*x**4 + 10*x**2 - 9*x**3 - 13*x**3 + 27*x**3 = 0. What is x?
-1, 0, 2
Let u(a) be the third derivative of 0 - 3*a**2 + 0*a + 0*a**5 + 0*a**3 + 0*a**4 - 1/40*a**6. Factor u(l).
-3*l**3
Suppose 14 = z + 3*k, 5*z + k - 27 = -13. Factor 4/19*o - 2/19*o**z + 0.
-2*o*(o - 2)/19
Let b(d) be the third derivative of 27/40*d**4 + 27/10*d**3 + 0*d - 9*d**2 + 9/100*d**5 + 0 + 1/200*d**6. Solve b(h) = 0.
-3
Let f(d) be the second derivative of d**6/180 + 19*d**5/120 + 8*d**4/9 + 5*d**3/3 - 220*d. Find n