the second derivative of -14*f + 1 + 1/4*f**4 + 12/5*f**3 + 0*f**2 - 3/100*f**5. Factor h(g).
-3*g*(g - 8)*(g + 3)/5
Let x(h) be the first derivative of -8*h**5 - 114*h**4 + 98*h**3 + 34*h**2 - 48*h + 159. Determine g so that x(g) = 0.
-12, -2/5, 1/2
Suppose -4*k + 4 = 0, -12*k + 16*k = f. Suppose -22*x + 2*a = -26*x + 28, 0 = -2*x + f*a - 6. Factor 0 - 6/5*v**4 - 3/5*v**x + 9/5*v**3 + 0*v + 0*v**2.
-3*v**3*(v - 1)*(v + 3)/5
Let d be ((-1400)/(-500))/((-6)/(-40)*14). Factor -1/3*k**2 - 4/3*k + 1/3*k**3 + d.
(k - 2)*(k - 1)*(k + 2)/3
Let o = 224 + -344. Let s be (-4)/o*51 + 6/(-4). Factor -s*d**2 - 4/5*d + 1.
-(d - 1)*(d + 5)/5
Let c(m) = 38*m**4 + 150*m**3 + 834*m**2 + 510*m - 80. Let g(w) = -w**4 + 4*w**3 + w. Let l(a) = -2*c(a) - 44*g(a). Find o such that l(o) = 0.
-10, -4, -1, 1/8
Factor -24*l - 2/3*l**3 + 64/3 + 8*l**2.
-2*(l - 8)*(l - 2)**2/3
Let w(v) = 10*v**2 + 10*v - 118. Let r be w(3). Find m such that -8/3 - 3*m - 1/3*m**r = 0.
-8, -1
Suppose -24*h - 32 = -32*h. Suppose 0 = -3*p + 3*z + 18, 5*p + h*z + 3 = 15. Factor -4*d - 11*d**4 - 13*d**2 + 3*d**2 + 5*d**4 + 4*d**p - 8*d**3.
-2*d*(d + 1)**2*(d + 2)
Let k(y) = 22*y**2 - 12*y - 95. Let d(u) = -31*u**2 + 16*u + 142. Let w(t) = 5*d(t) + 7*k(t). Factor w(a).
-(a - 5)*(a + 9)
Let l(g) = 56*g**2 - 624*g - 2648. Let h(m) = 5*m**2 - 57*m - 240. Let s(i) = -68*h(i) + 6*l(i). Suppose s(w) = 0. What is w?
-3, 36
Let x be (-7)/(-3) - (-2)/3. Find n, given that -85*n**2 - 3*n**4 - 85*n - 23*n**3 - 61*n**3 + 49*n**x - 2*n**4 - 30 = 0.
-3, -2, -1
Let d = 34172 - 102512/3. Solve -d*y**4 + 8/3 + 6*y**3 - 6*y - 4/3*y**2 = 0 for y.
-1, 1/2, 1, 4
Let k be -36 + (3/27 - 477/(-81)). Let c be (-238)/(-765) + (-4)/k. Factor 14/9*m**3 - c*m + 0 - 10/9*m**2.
2*m*(m - 1)*(7*m + 2)/9
Let x(i) be the first derivative of i**5/30 + i**4/3 - 22*i**3/9 + 4*i**2 + 3003. Solve x(m) = 0.
-12, 0, 2
Let s be (-3 - 10/(-2) - 0)/1. Suppose -4 - 1 - s*f - f**4 + 7 + 2*f**3 - 2 + f**2 = 0. Calculate f.
-1, 0, 1, 2
What is a in 2096 - 2*a**4 - 1572*a**2 + 360*a - 21*a**3 - 509*a**3 - 179*a - 173*a = 0?
-262, -2, 1
Let t = -1245 + 1265. Let f(c) be the second derivative of -1/18*c**4 + t*c + 0*c**2 + 0 + 1/3*c**3. Suppose f(i) = 0. Calculate i.
0, 3
Let d be 4/3*132/88. Let m(u) be the second derivative of 2/5*u**d - 1/10*u**4 + 7*u - 1/3*u**3 + 0. Suppose m(s) = 0. Calculate s.
-2, 1/3
Let i(k) be the first derivative of -k**4/8 + 2*k**3 - 9*k**2 + 20*k + 190. Let w(x) be the first derivative of i(x). Factor w(r).
-3*(r - 6)*(r - 2)/2
Let k(q) be the second derivative of q**4/54 - 82*q**3/27 + 104*q**2/3 + 5764*q. Determine i, given that k(i) = 0.
4, 78
Let x be (-9)/(-5) + (-17)/(-85). Factor 13 + 11 + 3*o**2 + 15*o - 2 - x - 8*o**2.
-5*(o - 4)*(o + 1)
Suppose 3*b - 2*j - 14 = 0, -b - 15 = j - 13. Factor -20/19*q**b - 2/19*q**3 - 34/19*q - 16/19.
-2*(q + 1)**2*(q + 8)/19
Let a(o) be the second derivative of 21*o**5/80 - 465*o**4/16 + 321*o**3/4 + 195*o**2 - 7532*o + 1. Suppose a(z) = 0. Calculate z.
-4/7, 2, 65
Let j(p) be the second derivative of -p**4/30 + 239*p**3/15 - 327*p. Factor j(g).
-2*g*(g - 239)/5
Determine w, given that 2/17*w**2 + 264/17 + 266/17*w = 0.
-132, -1
Let m(g) = -14*g**3 - 1240*g**2 - 5*g + 1202. Let y(i) = -3*i**3 - 247*i**2 - i + 239. Let p(c) = -4*m(c) + 19*y(c). Solve p(n) = 0.
-1, 1, 267
Let a(r) be the second derivative of r**4/42 + 17*r**3/7 - 220*r**2/7 - 136*r. Solve a(l) = 0 for l.
-55, 4
Let k be (-8706)/21 - (-18)/(-42). Let q = k - -418. Factor 0 - 6/5*s**2 + 2/5*s**4 + 0*s**q + 4/5*s.
2*s*(s - 1)**2*(s + 2)/5
Let i(x) = 2*x**2 + x + 4. Let g be i(-3). Suppose g + 15 = 17*z. Factor 2/3*k**z + 2/3 - 4/3*k.
2*(k - 1)**2/3
Let h = -13139 - -65724/5. Factor 1/5*q**3 + 3 + 13/5*q**2 - h*q.
(q - 1)**2*(q + 15)/5
Suppose -26*h + 3224 = 5*h. Let -332*j**2 - 3600*j + 92*j**2 - h - 4*j**3 + 104 = 0. What is j?
-30, 0
Let n(s) be the second derivative of s**4/42 - 4*s**3 + 252*s**2 + 1604*s. Suppose n(f) = 0. What is f?
42
Suppose -7 = 29*x - 65. Suppose x*y + 20 = 28. Factor -36/7*u**2 + y*u**3 + 0 + 8/7*u.
4*u*(u - 1)*(7*u - 2)/7
Let d(s) = -5*s**2 + s + 15. Let m = 59 + -62. Suppose -69 - 11 = 5*p. Let u(q) = 26*q**2 - 6*q - 76. Let t(r) = m*u(r) + p*d(r). Factor t(v).
2*(v - 2)*(v + 3)
Suppose -d - 3*h + 2*h + 11 = 0, -d + 4*h = 19. Let i(f) be the second derivative of -1/4*f**4 + 0*f**2 + 0 - 2/3*f**3 + 1/20*f**d - 5*f. Factor i(g).
g*(g - 4)*(g + 1)
Let l = -18 + 24. Let n(j) = j**3 - 8*j**2 + 12*j + 12. Let q be n(l). Determine r so that 4*r**3 - 738*r**5 + 766*r**5 - q*r**3 - 20*r**4 = 0.
-2/7, 0, 1
Suppose 0 = -4*l + 8, 2*i + 3*l + 6 = 24. Let n be ((-2)/i)/((8/8)/(-6)). Solve -12 - 117*d + 193*d**n - 52*d**3 + 4*d**4 + 48 - 39*d = 0 for d.
1/2, 6
Let v be (18975/(-15525))/((-22)/12). Let 10/3*o**4 - 64/3*o - v*o**5 + 0 + 4*o**3 - 64/3*o**2 = 0. What is o?
-2, -1, 0, 4
Let c(x) = -x**2 + 2*x + 83. Let z be c(9). Let q be z/(-15)*-3 - 2. Solve -4/5*d**q - d - 1/5 = 0 for d.
-1, -1/4
Let y(z) be the first derivative of z**6/60 - 5*z**4/24 + z**2 + z - 37. Let r(k) be the first derivative of y(k). Find l, given that r(l) = 0.
-2, -1, 1, 2
Let y be 54 + (-1776)/144 + -41. Suppose y*u**3 + 112*u - 18*u**2 + 392/3 = 0. Calculate u.
-1, 14
Let q(w) be the third derivative of -28*w**2 + 1/6*w**4 + 1/30*w**6 + 0*w + 0*w**3 + 0 - 2/15*w**5. Solve q(i) = 0.
0, 1
Let x(c) be the third derivative of -79*c**6/180 + 44*c**5/5 - 731*c**4/36 + 2*c**3 + 1022*c**2. What is y in x(y) = 0?
2/79, 1, 9
Let w(t) be the second derivative of -11*t + 0*t**3 + 0 + 0*t**2 + 1/20*t**6 + 0*t**5 - 1/8*t**4. Factor w(d).
3*d**2*(d - 1)*(d + 1)/2
Suppose -4*r - k + 13 = -22, 4*r - 5*k - 65 = 0. Suppose -2*t - r = -22. Let 16*s - t*s**3 - 2*s**4 - 20*s + 2*s**2 + 10*s = 0. What is s?
-3, -1, 0, 1
Let r(k) = 3*k**4 + 423*k**3 + 2859*k**2 + 6057*k + 3602. Let u(f) = -f**4 - 141*f**3 - 953*f**2 - 2019*f - 1200. Let a(i) = -3*r(i) - 8*u(i). Factor a(h).
-(h + 1)*(h + 3)**2*(h + 134)
Let p(m) be the second derivative of -25*m**7/252 + m**6/6 - 3*m**5/40 + m - 314. What is i in p(i) = 0?
0, 3/5
Let a(x) = -75*x - 322. Let c be a(6). Let l = c - -5406/7. Let 0*w + 4/7*w**4 + 0 - l*w**5 - 4/7*w**2 + 2/7*w**3 = 0. Calculate w.
-1, 0, 1, 2
Suppose 4*r = 5*w - 758 + 159, -597 = -5*w + 2*r. Suppose -2*c + 3*c = 4*t + 5, -5*c = -2*t - 25. Let -c*h**4 + w + 120 + 10*h**2 + 5*h**3 - 239 = 0. What is h?
-1, 0, 2
Let z(x) = x**3 - 2*x**2 - 19*x + 11. Let r be z(-4). Let c(a) = a**2 - 40*a + 23. Let f(q) = 2*q**2 - 82*q + 44. Let n(u) = r*c(u) + 4*f(u). Factor n(g).
-(g - 31)*(g - 1)
Let s(g) = 2*g**2 - 76*g - 2406. Let n(b) = -3*b + 3. Let k(h) = -4*n(h) - s(h). What is f in k(f) = 0?
-19, 63
Let n(h) be the first derivative of -4*h**3/9 - 8065*h**2/6 - 672*h - 9763. Factor n(w).
-(w + 2016)*(4*w + 1)/3
Suppose 4*a = -4*i + 8, 10 - 2 = 3*i + 4*a. Suppose 2*s + 6 = i, -2*b - 3*s - s - 12 = 0. Find h such that 1/7*h**3 - 2/7*h + b - 1/7*h**2 = 0.
-1, 0, 2
Factor -152/15 + 2/15*u**2 + 24/5*u.
2*(u - 2)*(u + 38)/15
Let p(j) be the third derivative of -9*j - j**2 + 1/12*j**4 + 0 + 1/90*j**6 + 1/210*j**7 + 0*j**3 - 13/180*j**5. Factor p(y).
y*(y - 1)*(y + 3)*(3*y - 2)/3
Factor -736/5*y**2 + 33856/5*y + 4/5*y**3 + 0.
4*y*(y - 92)**2/5
Let m = -411 - -422. Let u(z) = 5*z**3 - 53*z**2 - 24*z + 94. Let v(p) = 3*p**3 - 27*p**2 - 12*p + 48. Let r(s) = m*v(s) - 6*u(s). Factor r(y).
3*(y - 1)*(y + 2)*(y + 6)
Let t(v) be the third derivative of -6 + 11*v**2 + 0*v + 1/15*v**5 + 2/3*v**4 + 8/3*v**3. Suppose t(r) = 0. Calculate r.
-2
Let b(o) = -39*o**3 - o**2 + 2690*o + 8084. Let j be b(-3). Factor 32/9 - 368/3*c + j*c**2.
2*(69*c - 4)**2/9
Let w(o) be the third derivative of 0*o + 0*o**5 + 0*o**3 - 1/196*o**8 - o**2 + 1/210*o**6 - 4/735*o**7 + 0*o**4 + 43. Factor w(m).
-4*m**3*(m + 1)*(3*m - 1)/7
Let y(b) be the first derivative of b**3/24 + 471*b**2/16 - 225. Factor y(g).
g*(g + 471)/8
Suppose v + 6 = 4*o, 8*v - 5*o + 6 = 6*v. Let d(c) be the third derivative of -3/56*c**4 - 15*c**v + 0 + 0*c + 1/7*c**3 + 1/140*c**5. Solve d(p) = 0 for p.
1, 2
Let z = -2605943/4 - -651489. Factor -1/4*v**3 + 0*v + z*v**2 + 0.
-v**2*(v - 13)/4
Let t(i) be the third derivative of -i**6/40 - 13*i**5/4 - 247*i**4/8 - 183*i**3/2 + 872*i**2 + 3*i. Factor t(x).
-3*(x + 1)*