- 39/4*n**4 - 9/4*n**5 = 0. What is n?
-2, -4/3, 0, 1
Let b(j) be the second derivative of 0 - 5*j - 2*j**2 - 1/480*j**6 - 1/60*j**5 + 0*j**3 - 1/24*j**4. Let f(n) be the first derivative of b(n). Factor f(t).
-t*(t + 2)**2/4
Let h(n) be the second derivative of 0*n**2 - 27*n - 1/21*n**3 + 0 + 2/105*n**6 + 0*n**4 + 3/70*n**5. Factor h(x).
2*x*(x + 1)**2*(2*x - 1)/7
Let y = -1/81 - -278/2835. Let f = y - -446/105. Factor -11/3*a + 2/3 - f*a**3 + a**4 + 19/3*a**2.
(a - 2)*(a - 1)**2*(3*a - 1)/3
Let c = -51551/3 - -17189. Suppose c + 4/3*d + 2/3*d**3 - 10/3*d**2 = 0. What is d?
-1, 2, 4
Let m(k) be the third derivative of k**8/84 - 4*k**7/35 + k**6/3 - 11*k**4/6 + 4*k**3 - 1289*k**2. Find s, given that m(s) = 0.
-1, 1, 2, 3
Let d(m) be the third derivative of -21*m**6/40 + 67*m**5/4 - 166*m**4 - 32*m**3 + 2018*m**2. Solve d(h) = 0.
-1/21, 8
Find m, given that 7*m - 7*m**3 + 5*m - 556 + 1128 + 44*m**2 - 4*m**4 - 5*m**3 - 612 = 0.
-5, -1, 1, 2
Let s(h) be the third derivative of -h**8/896 - 9*h**7/560 - h**6/16 + h**5/8 + 3*h**4/2 + 4*h**3 + h**2 + 642*h. Solve s(j) = 0 for j.
-4, -2, -1, 2
Suppose 15*t = 3*t + 48. Let n(d) = 1757*d - 16. Let a be n(t). Factor -a*o**2 + 7012*o**2 + 5*o**3.
5*o**3
Let d = 1/93891 + 5664607/14083650. Let x = d - 9/50. Factor -x*z**2 + 0 + 2/9*z + 2/9*z**4 - 2/9*z**3.
2*z*(z - 1)**2*(z + 1)/9
Suppose 2*b = -2*m + 16776, 5*b + m + 3*m - 41940 = 0. Suppose -5*s = -14*s + b. Factor -932*h + 5*h**4 - 10*h**3 + 5*h**5 + s*h.
5*h**3*(h - 1)*(h + 2)
Let l(f) = -2*f**3 + 13*f + 10. Let n be l(7). Let u = n + 585. Factor 1/7*w**5 - 24/7*w**2 + 9/7*w + u - 8/7*w**4 + 22/7*w**3.
w*(w - 3)**2*(w - 1)**2/7
Suppose 4*x = -0*x + 3*f - 71, 2*f = 4*x + 66. Let j be (-6)/8*(x + 50/5). Find n, given that 0*n + 2/9*n**j + 0 + 10/9*n**2 = 0.
-5, 0
Suppose 56*n = 456*n - 1200. Factor 3/4*k**n + 1/2*k + 0 - 1/4*k**5 + 1/4*k**4 - 5/4*k**2.
-k*(k - 1)**3*(k + 2)/4
Let c be (25/(-50))/(1/(-14)) - 2. Let f be (61/(-305))/((-2)/c). Find d such that 3/2 + 1/2*d**3 - f*d - 3/2*d**2 = 0.
-1, 1, 3
Let a(o) be the third derivative of o**6/180 - 23*o**5/45 + 131*o**4/36 - 86*o**3/9 + 2*o**2 - 1936*o. Factor a(u).
2*(u - 43)*(u - 2)*(u - 1)/3
Suppose -u + 44*g = 47*g + 31, -3*u = 5*g + 49. Factor -576 - 24*i - 1/4*i**u.
-(i + 48)**2/4
Let g = -151 + 177. Factor -g*a + 8*a + 13*a + 4*a**2 - a**3 + 10*a.
-a*(a - 5)*(a + 1)
Factor 7/2*i - 7/6*i**2 - 1/6*i**3 + 9/2.
-(i - 3)*(i + 1)*(i + 9)/6
Let v(j) = -j**3 - j**2 - 5. Let o(r) = -5*r**4 - 1360*r**3 + 2725*r**2 - 25. Let z(m) = -o(m) + 5*v(m). Suppose z(p) = 0. What is p?
-273, 0, 2
Let d(i) = -6488*i + 45418. Let w be d(7). Factor 1/9*s**w - 2/3 + 5/9*s.
(s - 1)*(s + 6)/9
Let d be -6*(4 - (-4 + 9)). Let -18*z**4 + 50*z**4 - 18*z**3 - 18*z**4 + 4*z + d*z**2 - 34*z**4 = 0. Calculate z.
-1, -2/5, 0, 1/2
Let o(b) be the third derivative of 0*b**3 - b**2 - 1/112*b**8 - 7/60*b**5 + 79/480*b**6 - 223*b - 1/120*b**7 + 0 - 1/8*b**4. Solve o(g) = 0.
-3, -1/4, 0, 2/3, 2
Let o(f) be the third derivative of f**6/30 + f**5/3 - 39*f**4 - 2*f**2 - 439. Factor o(b).
4*b*(b - 13)*(b + 18)
Let m(s) = -s - 40. Let t be m(-40). Let k(p) be the second derivative of t*p**2 + 1/18*p**4 + 3*p + 0 + 0*p**3. Factor k(o).
2*o**2/3
Suppose -12*r + 96 = -84. Let -r*h + 27/2 + 3/2*h**2 = 0. What is h?
1, 9
Let n be (-74)/148*6*(-3)/36. Factor -3/4*w**2 + n*w**3 + 3/4 - 1/4*w.
(w - 3)*(w - 1)*(w + 1)/4
Let c = -760 + 5335/7. Let m = 22549/315 - 3202/45. Factor c - m*g**2 - 12/7*g.
-3*(g - 1)*(g + 5)/7
Let y = -103 + 106. Suppose -1 = t - y. Factor 5*d**2 + 18*d + 0*d**t + 5*d**3 - 15*d + d**4 + 2*d**2.
d*(d + 1)**2*(d + 3)
Let m be ((-310)/(-93))/((-10)/(-12)). Let b(k) be the second derivative of -1/5*k**2 + 1/10*k**3 - 16*k + 0 - 1/60*k**m. Factor b(j).
-(j - 2)*(j - 1)/5
Let v(t) = -9*t - 1. Let h be v(-1). Let m be (-2)/h + ((-6690)/(-20) - 8). Solve -409/4*o**2 + 1323/4*o**5 + m*o**3 - 2079/4*o**4 + 16*o - 1 = 0 for o.
2/7, 1/3
Let t be 47 + 8/20*(-1 + 11). Suppose -3*w**2 - 6*w + t - 51 = 0. What is w?
-2, 0
Suppose -73 + 28 = -9*a. Factor -15*g - a*g**2 - 11*g + 26*g + 80 - 30*g.
-5*(g - 2)*(g + 8)
Determine d, given that -16640*d - 1/4*d**3 + 33800 - 259/2*d**2 = 0.
-260, 2
Suppose 461 - 1784 = -4*i - 3*w, -2*i - 2*w = -660. Let m be (-1)/1 + i/148. Suppose -5/2*a**2 + 0 - 5/4*a + 0*a**3 + 5/2*a**4 + m*a**5 = 0. What is a?
-1, 0, 1
Solve 402*i**2 - 640*i + 29*i**3 - 98*i**3 - 172 + 29*i**3 + 26*i**3 - 44 = 0.
-2/7, 2, 27
Let l(c) be the first derivative of -c**3/6 - 39*c**2/2 + 595*c/2 + 2930. Factor l(p).
-(p - 7)*(p + 85)/2
Suppose -198*n - 21420 + 212931 + 61*n + 3*n**2 + 135189 + 2117*n = 0. What is n?
-330
Let 4215256*z**4 + 5*z**5 - 61*z**3 - 4215328*z**4 - 2*z**5 - 14*z**3 = 0. What is z?
-1, 0, 25
Let k(f) be the second derivative of 9*f**3 + 205*f + 1/4*f**4 + 0 - 57/2*f**2. Factor k(c).
3*(c - 1)*(c + 19)
Let v(x) = 11*x**2 - 39*x. Let z(p) = 5*p**2 - 19*p. Let c(h) = -h**3 + 19*h**2 - 86*h + 27. Let l be c(12). Let b(o) = l*v(o) - 7*z(o). Factor b(d).
-2*d*(d - 8)
Factor -1482*t - 2098 - 3*t**2 + 2137 - 1518.
-3*(t + 1)*(t + 493)
Let b(a) = -2*a**2 + 27*a + 122. Let j be b(17). Let r(i) be the first derivative of -70*i**4 - 9 + i + 288/5*i**5 + 34*i**j - 33/4*i**2. Factor r(h).
(4*h - 1)**3*(9*h - 2)/2
Let j(l) = 4*l + 215. Let c be j(-54). Let a be ((-228)/84 + (-3)/c)*14. Determine g, given that 2/5*g**a + 0 - 6/5*g**5 + 0*g + 6/5*g**3 - 2/5*g**2 = 0.
-1, 0, 1/3, 1
Let x be 770/66 - (1 - 1). Let q(w) be the first derivative of -65*w**2 - 40*w + x*w**3 - 24. Factor q(z).
5*(z - 4)*(7*z + 2)
Let a = 660 + -657. Factor 2*t**2 + 4*t**2 + 3*t**3 - t - t**3 - a*t**3 - 4*t.
-t*(t - 5)*(t - 1)
Let f be 0/133 + -1*(-3 + 1). Determine m so that 12/11 - 2/11*m**f - 2/11*m = 0.
-3, 2
Let y = 213 + -193. Factor 10*u**2 + 5*u**4 + 164 - 339 + 160 - 20*u**3 + y*u.
5*(u - 3)*(u - 1)**2*(u + 1)
Let u = 8 + -37. Let q = -24 - u. Determine p so that -13*p**3 - p**5 - q*p**4 + 4 + 6*p**3 + 0*p**2 + 8*p + p**2 = 0.
-2, -1, 1
Find p, given that 49/3*p**2 - 24*p + 21/2 - 8/3*p**3 - 1/6*p**4 = 0.
-21, 1, 3
Let p(d) be the first derivative of d**5/45 + 31*d**4/9 + 4708*d**3/27 + 2976*d**2 + 20736*d + 7743. Factor p(v).
(v + 8)**2*(v + 54)**2/9
Let v(f) = 5*f**2 + 229*f + 6050. Let a(k) = -k**2 - 3*k. Let y(z) = 6*a(z) + 2*v(z). Factor y(g).
4*(g + 55)**2
Let t(w) be the first derivative of 100/9*w**2 - 9 - 12*w + 20/27*w**3 + 1/54*w**4. Let s(k) be the first derivative of t(k). Solve s(f) = 0.
-10
Factor -744*p**2 + 2382*p + 771*p**2 - 2740 + 3268.
3*(p + 88)*(9*p + 2)
Let v(t) be the first derivative of 111*t**4/14 - 292*t**3/21 + 103*t**2/21 + 4*t/21 + 8083. Suppose v(b) = 0. Calculate b.
-2/111, 1/3, 1
Let x(v) be the third derivative of -v**6/120 + 6*v**5/5 - 924*v**2. Factor x(d).
-d**2*(d - 72)
Let p(o) = -5*o + 7*o**2 + 15*o - 9*o. Let g be p(2). Suppose 0*l**5 - 3*l**5 - g*l**3 + 33*l**3 + 0*l**2 - 3*l**2 + 3*l**4 = 0. Calculate l.
-1, 0, 1
Suppose -3*p + 10 = d, 0 = 2*d - 8. Let q(u) be the first derivative of -5/2*u**p + 5*u + 5/4*u**4 - 5/3*u**3 + 20. Find o such that q(o) = 0.
-1, 1
Let y(l) be the first derivative of 4/3*l**3 - 8 + 32*l + 12*l**2. Factor y(n).
4*(n + 2)*(n + 4)
Let n = 1284 + -1145. Suppose 2 = -3*k - u, u - n + 141 = 5*k. Factor 0*q + 2/9*q**4 - 4/9*q**3 + 0 + k*q**2.
2*q**3*(q - 2)/9
Let n = -21153 - -21160. Let d(x) be the third derivative of n*x**2 - 1/51*x**3 - 1/510*x**5 - 1/102*x**4 + 0 + 0*x. What is s in d(s) = 0?
-1
Let y = 83782 - 44593. Factor 39189*d**2 - 45*d**3 - y*d**2 - 5*d**4.
-5*d**3*(d + 9)
Let g = -2169119/5 + 433829. Determine x so that g + 2/5*x**2 - 28/5*x = 0.
1, 13
Let f(u) = 5*u**2 - 268*u + 3645. Let j(b) = -22*b - 9. Let a(d) = 5*d + 2. Let v(t) = -9*a(t) - 2*j(t). Let r(g) = -f(g) - 2*v(g). Factor r(c).
-5*(c - 27)**2
Let r(q) be the second derivative of 17*q**5/20 - 3*q**4 - 22*q**3 + 8*q**2 + 610*q - 2. Determine a so that r(a) = 0.
-2, 2/17, 4
Factor 199*m - 258 - 95*m + m**2 + 238 - 105*m.
(m - 5)*(m + 4)
Let g(b) be the third derivative of -b**6/120 - 41*b**5/60 - 31*b**4/4 - 36*b**3 - 66*b**2 - 19. Determine k so that g(k) = 0.
-36, -3, -2
Let c(g) be the third derivative of -1/525*g**7 + 0*g + 1/150*g**6 + 0*g**5 + 0*g**4 - 1/840*g**8 + 0*g**3 + 41*g**2 + 0. Determine