Let s = 125123/55612 - -1/13903. Factor -s - 3*m - 3/4*m**2.
-3*(m + 1)*(m + 3)/4
Let w(d) = 50*d**2 - 135*d + 125. Let g(p) = -p**3 - 50*p**2 + 134*p - 126. Let r(n) = -5*g(n) - 6*w(n). Let r(i) = 0. Calculate i.
2, 6
Let o(l) be the second derivative of l**7/4200 - l**6/600 - l**5/25 + 41*l**4/12 - 13*l. Let r(m) be the third derivative of o(m). Factor r(c).
3*(c - 4)*(c + 2)/5
Let k be (-5*4/160)/(-1). Let h(t) be the first derivative of 1/4*t**3 - k*t**2 + 1/16*t**4 - 1/2*t - 7 - 1/20*t**5. Factor h(o).
-(o - 2)*(o - 1)*(o + 1)**2/4
Let v(f) be the second derivative of -f**6/60 + f**5/4 + 25*f**4/24 - 5*f**3/6 - 6*f**2 - 2*f - 4. What is b in v(b) = 0?
-2, -1, 1, 12
Let m be 5523/33 + -4 + -4. Let x = m + -159. Determine k so that 0 + 6/11*k**2 - x*k = 0.
0, 2/3
Let r(i) be the third derivative of i**5/12 + 5*i**4/3 - 50*i**3/3 - 8*i**2 - 5. Factor r(l).
5*(l - 2)*(l + 10)
What is g in 33*g**2 + 30*g**3 - 69*g**3 - 15*g**4 + 18*g + 26*g - 5*g - 18 = 0?
-3, -1, 2/5, 1
Let o(t) = 3*t - 23. Let a be o(9). Suppose 2 = 5*k - a*k. Let -3*u - 3/2 - 3/2*u**k = 0. Calculate u.
-1
Let j(t) = t**2. Let p(w) = -5*w**2 + 14 - 2 - 10*w**2 - 2 - 35*w. Let x(c) = -5*j(c) + p(c). Factor x(z).
-5*(z + 2)*(4*z - 1)
Let v = 4775 - 4772. Suppose -9/2*m**2 - 1 - 7/2*m - 1/2*m**4 - 5/2*m**v = 0. Calculate m.
-2, -1
Let g(p) = 4*p**4 - 276*p**3 - 5459*p**2 + 40565*p - 64834. Let u(a) = a**4 - 92*a**3 - 1820*a**2 + 13522*a - 21611. Let j(m) = -2*g(m) + 7*u(m). Factor j(c).
-(c - 3)**2*(c + 49)**2
Let k(w) = -w**2 + 13*w - 35. Let a be k(5). Factor -1/5*m + 2/5*m**3 - 2/5*m**2 + 1/5*m**4 - 1/5*m**a + 1/5.
-(m - 1)**3*(m + 1)**2/5
Let n(o) = 39*o**4 - 84*o**3 - 177*o**2 - 45*o. Let v = -58 - -60. Let f(m) = 10*m**4 - 21*m**3 - 44*m**2 - 11*m. Let a(t) = v*n(t) - 9*f(t). Factor a(z).
-3*z*(z - 3)*(z + 1)*(4*z + 1)
Suppose 0 = 4*b - 2*q - 425 - 625, 4*b - 1053 = -q. Let x = b - 787/3. Find v, given that x*v**3 - 2*v - 4/3 + 0*v**2 = 0.
-1, 2
Let t = 6526 - 6526. Factor 0 + t*s + 2/15*s**3 - 4/5*s**2.
2*s**2*(s - 6)/15
Let h(y) be the third derivative of y**8/14 - 6*y**7/35 + 9*y**6/80 - y**5/40 - 2*y**2 - 10*y. Determine d so that h(d) = 0.
0, 1/4, 1
Let n(c) be the third derivative of -2*c**7/105 - 29*c**2. Let n(y) = 0. Calculate y.
0
Factor -24/5 - 1/5*a**3 - 7*a - 12/5*a**2.
-(a + 1)*(a + 3)*(a + 8)/5
Let p = 1533/2 - 4591/6. Let r(q) be the second derivative of -1/18*q**4 + p*q**2 - 7*q - 1/3*q**3 + 0. Find j such that r(j) = 0.
-4, 1
Let w = 76 + -49. What is t in -3*t**2 + 17*t + 0*t**2 + t - w = 0?
3
Let y(n) = -1901 - 2*n**3 - 4*n**3 - 194*n - 46*n**2 + 1645. Let i(w) = 7*w**3 + 45*w**2 + 195*w + 256. Let v(r) = -2*i(r) - 3*y(r). Factor v(f).
4*(f + 4)**3
Let u(o) be the third derivative of 17*o**5/300 - o**4/60 + 547*o**2. What is x in u(x) = 0?
0, 2/17
Let k(o) be the first derivative of 3*o**5/40 + 135*o**4/32 - 18*o**3 + 3*o**2/4 + 72*o - 962. What is y in k(y) = 0?
-48, -1, 2
Factor 2/17*f**2 - 18/17 + 16/17*f.
2*(f - 1)*(f + 9)/17
Let o(w) be the second derivative of -w**8/840 - w**7/210 - w**6/180 + w**3/3 - 18*w. Let g(t) be the second derivative of o(t). Solve g(k) = 0.
-1, 0
Let g = 66 + -61. Suppose k = -2*k, g*a - 20 = k. Factor 9/4*v**3 + 0 + 3/4*v**a + 0*v + 3/2*v**2.
3*v**2*(v + 1)*(v + 2)/4
Let m(p) be the second derivative of -1/48*p**4 + 0 - 5/24*p**3 + 0*p**2 + 28*p. Factor m(b).
-b*(b + 5)/4
Let s be (3 - (-52)/(-20)) + (-92)/(-20). Let w(v) be the third derivative of 0*v**3 - 6*v**2 + 0*v + 1/30*v**s - 1/12*v**4 + 0. Factor w(t).
2*t*(t - 1)
Let l = 367/2 - 731/4. Suppose l*s**2 - 3*s + 3 = 0. What is s?
2
Let z(n) be the second derivative of -n**4/36 + 25*n**3/18 - 23*n**2/3 - 296*n. Let z(q) = 0. What is q?
2, 23
Let a = 495 - 24749/50. Let w(t) be the third derivative of -1/8*t**4 - 4*t**2 + 0*t + a*t**5 + 1/5*t**3 + 0. Factor w(y).
3*(y - 2)*(2*y - 1)/5
Let g = 117313/6 - 19552. Factor -1/2*x + 3/2 - g*x**3 - 5/6*x**2.
-(x - 1)*(x + 3)**2/6
Determine h, given that -10/13*h**2 + 2/13*h + 6/13 + 4/13*h**4 - 2/13*h**3 = 0.
-1, 1, 3/2
Let w(d) be the third derivative of d**8/8400 + d**7/1400 - d**6/1800 - d**5/200 + 8*d**3/3 - 8*d**2. Let y(h) be the first derivative of w(h). Factor y(v).
v*(v - 1)*(v + 1)*(v + 3)/5
Let j(s) = -s**3 - s**2. Let k be j(-2). Let f be k/(-30) + (-4)/(-12). What is d in 2/5*d**2 - 1/5*d**3 + 0 - f*d = 0?
0, 1
Let o(c) be the third derivative of 0 + 16/3*c**3 + 23*c**2 + 0*c + 1/120*c**6 - 1/10*c**5 + 0*c**4. Factor o(v).
(v - 4)**2*(v + 2)
Factor 139*f + 40*f**2 - 57 - 48 - 165 + 6*f - 45*f**2.
-5*(f - 27)*(f - 2)
Let q(g) be the third derivative of -g**8/2100 - g**7/525 + 11*g**3/2 - 17*g**2. Let t(h) be the first derivative of q(h). Determine a so that t(a) = 0.
-2, 0
Let g(w) be the first derivative of -16*w**2 + 38/5*w**5 - 32/5*w - 176/15*w**3 - 38 + 32/5*w**4 + 5/3*w**6. Find o such that g(o) = 0.
-2, -2/5, 1
Let s be (-56)/(-21)*-9 - -27. Suppose -17 = -3*f + 2*z, -4*f + z = -f - 13. Let 3/4*t + 0 - s*t**4 + f*t**2 - 3/4*t**3 = 0. What is t?
-1, -1/4, 0, 1
Let m(w) = -w**2 - 7*w + 7. Let d be m(-8). Let q be 3/(-12) + d/(-4). Factor -3/7*v + 3/7*v**2 + q.
3*v*(v - 1)/7
Let k be (-3)/27*(-20 - -2). What is x in -21/4*x**4 + 0*x + 0*x**k + 0 - 9/4*x**3 - 3*x**5 = 0?
-1, -3/4, 0
Let j = -496 + 496. Let s be 6/(1/2*28). Let -s*i**2 + 9/7*i + j = 0. Calculate i.
0, 3
Let l(z) be the first derivative of -5 + 1/24*z**4 + 1/3*z + 2/9*z**3 + 5/12*z**2. Find w such that l(w) = 0.
-2, -1
Find n such that -10*n**3 - 8*n**3 + 664*n**2 + 892*n + 8*n**3 - 20*n**3 + 200 + 2*n**3 = 0.
-1, -2/7, 25
Solve -1/3*m**3 + 99*m**2 - 9801*m + 323433 = 0.
99
Let c(u) be the third derivative of -u**8/112 + 3*u**7/70 + 3*u**6/40 - 7*u**5/20 - 3*u**4/4 - 296*u**2 - u. What is o in c(o) = 0?
-1, 0, 2, 3
Let i be (1/3)/((-240)/(-144)). Let r(q) be the first derivative of i*q**5 - 3/4*q**4 + 1/3*q**3 - 2*q - 1 + 3/2*q**2. Let r(b) = 0. What is b?
-1, 1, 2
Let h(n) be the second derivative of -n**7/630 - n**6/60 - n**5/15 + 2*n**4/3 + 5*n. Let u(c) be the third derivative of h(c). Factor u(z).
-4*(z + 1)*(z + 2)
Factor -10534*p + 0 - 12 + 10522*p - 15*p**3 + 19*p**2 + 20*p**2.
-3*(p - 2)*(p - 1)*(5*p + 2)
Let l = -40 + 44. Suppose -l*j + 2*r + 23 = -3*r, -5*j + 2*r = -16. Factor 0 - 2*g**j + 2/3*g**3 + 4/3*g.
2*g*(g - 2)*(g - 1)/3
Let x = -29 + 59/2. Suppose -113*c + 40 = -299. Factor 1/8*n**c - 1/2*n + 1/8*n**2 - x.
(n - 2)*(n + 1)*(n + 2)/8
Let i(j) = j + 2. Let f(s) = s**2 - 7*s - 4. Let z(x) = -f(x) - 2*i(x). Let z(o) = 0. What is o?
0, 5
Let z(c) be the first derivative of c**4/18 - 28*c**3/27 + 35*c**2/9 - 44*c/9 - 556. What is m in z(m) = 0?
1, 2, 11
Find m such that 50/3 - 50/3*m**2 + 1/6*m**3 - 1/6*m = 0.
-1, 1, 100
Let l(x) be the first derivative of -5*x**6/144 + x**5/12 - x**4/12 + 16*x**3/3 - 7. Let c(w) be the third derivative of l(w). Factor c(f).
-(5*f - 2)**2/2
Let d(n) = -2*n - 2. Let o be d(-2). Suppose g + 0*g = o. Factor -28*t**2 + 4 - 6*t**3 + t + 12*t**g - 7*t.
-2*(t + 1)*(t + 2)*(3*t - 1)
Let s(n) be the first derivative of 7/30*n**5 + 1/12*n**4 - 6 - 7/6*n**3 + 2/3*n + 2/3*n**2. Factor s(g).
(g - 1)**2*(g + 2)*(7*g + 2)/6
Let q(s) be the second derivative of -s**7/2310 + 7*s**6/1980 - s**5/220 - 4*s**3/3 - 28*s + 2. Let x(d) be the second derivative of q(d). Solve x(w) = 0 for w.
0, 1/2, 3
Factor 9/5*i - 4/5 - 6/5*i**2 + 1/5*i**3.
(i - 4)*(i - 1)**2/5
Let g(c) be the second derivative of 0*c**5 + 3*c + 0 + 0*c**2 - 1/6*c**6 + 5/3*c**3 + 5/4*c**4. Factor g(i).
-5*i*(i - 2)*(i + 1)**2
Factor -26 + 30*t**2 + 44*t + 2*t**3 + 80*t + 170.
2*(t + 2)*(t + 4)*(t + 9)
Let n(q) be the second derivative of q**7/399 + 4*q**6/285 + q**5/95 - 2*q**4/57 - q**3/19 + 3*q - 3. Determine b, given that n(b) = 0.
-3, -1, 0, 1
Find c such that 0*c - 4*c - 4*c + c**3 + 8*c**2 - 3*c - 18 = 0.
-9, -1, 2
Solve 1/11*x**4 + 0*x + 0 + 0*x**3 - 4/11*x**2 = 0.
-2, 0, 2
Suppose -2/17*n**5 + 0 - 2/17*n**4 + 0*n + 4/17*n**3 + 0*n**2 = 0. What is n?
-2, 0, 1
Let i(d) = -16*d**5 + 40*d**4 - 32*d**3 - 64*d**2 + 12*d - 12. Let o(z) = z**5 - z**4 - z + 1. Let c(t) = i(t) + 12*o(t). What is m in c(m) = 0?
-1, 0, 4
Let u(s) be the first derivative of -s**6/100 + s**5/50 - s**4/60 + 7*s**3/3 + 8. Let d(b) be the third derivative of u(b). Solve d(a)