3*y(x). Factor r(d).
-5*d*(d - 16)*(d - 1)
Let b(s) = 514*s - 7194. Let w be b(14). Factor -3/2*y**w + 3/4*y**3 - 1/8*y**4 + 5/4*y - 3/8.
-(y - 3)*(y - 1)**3/8
Let m(w) be the first derivative of 16/3*w**2 + 11/24*w**4 - 256/3*w + 1/60*w**5 + 26 + 4*w**3. Factor m(f).
(f - 2)*(f + 8)**3/12
Let h(i) be the first derivative of -2*i**3/33 - 7*i**2/11 + 16*i/11 + 489. Determine c so that h(c) = 0.
-8, 1
Let n(s) be the second derivative of 121*s**5/40 + 803*s**4/8 + 1092*s**3 + 2704*s**2 - 127*s. Factor n(t).
(t + 1)*(11*t + 104)**2/2
Let q(c) be the second derivative of -13*c - 1/190*c**5 + 0*c**2 + 1 - 12/19*c**3 + 2/19*c**4. Find n such that q(n) = 0.
0, 6
Factor -1269*m - 394*m - 26948*m**2 + 26950*m**2 + 946688 - 1089*m.
2*(m - 688)**2
Let k(n) = 2*n**4 + 18*n**3 - 24*n**2 - 96*n - 54. Let f(t) = -10*t**4 - 91*t**3 + 118*t**2 + 480*t + 270. Let h(c) = 4*f(c) + 22*k(c). Factor h(w).
4*(w - 3)*(w + 1)**2*(w + 9)
Let m be ((3/5)/(2/(-6)))/((-12567)/108914). Factor -507/5 - 3/5*k**2 - m*k.
-3*(k + 13)**2/5
Let j(x) be the second derivative of -x**7/357 + 3*x**6/85 - 7*x**5/170 - 3*x**4/34 + 8*x**3/51 - 1327*x. Solve j(n) = 0.
-1, 0, 1, 8
Suppose -4*v = 3*x + 369 - 370, -v - 3*x = 11. Let o be (-50)/(-8) + 2/(-8). Find r such that r - v + 3*r + 9*r**2 + o*r + 5*r**2 = 0.
-1, 2/7
Let t = -3037/427 - -460/61. Let d = -105/11 - -834/77. Find l such that 3/7 - t*l**3 - d*l + 9/7*l**2 = 0.
1
Let m(h) be the first derivative of h**5/15 - 8*h**3/3 - 89*h**2/2 + 16. Let v(t) be the second derivative of m(t). Factor v(z).
4*(z - 2)*(z + 2)
Let r(g) be the first derivative of 840*g**2 + 135/2*g**6 + 1490*g**4 - 522*g**5 - 160*g - 1 - 1840*g**3. Factor r(v).
5*(v - 2)**3*(9*v - 2)**2
Suppose 0 = -s - 13*s - 12*s - 23*s - 6*s. Solve -2*x**4 - 8/17*x**5 + 36/17*x**2 + s - 18/17*x**3 + 0*x = 0.
-3, -2, 0, 3/4
Let x(s) = 75*s**5 - 165*s**4 + 85*s**3 + 45*s**2. Let b(r) = 2*r**5 - 4*r**4 + r**3. Let j(o) = 40*b(o) - x(o). Factor j(l).
5*l**2*(l - 3)*(l + 1)*(l + 3)
Let x(q) be the second derivative of -q**4/12 - 7*q**3/2 + 81*q**2 + 4*q + 61. Factor x(k).
-(k - 6)*(k + 27)
Let x(t) be the first derivative of -5*t**4/36 + 35*t**3/18 + 20*t**2/3 - 19*t + 64. Let c(h) be the first derivative of x(h). What is g in c(g) = 0?
-1, 8
Let y = 62 + -50. Suppose 0*g = -3*g + y. Factor -15*v**3 + 3*v**4 - 9*v**2 + 11*v + 12 + v + 9*v**3 + 0*v**g.
3*(v - 2)**2*(v + 1)**2
Let j be ((-52)/(-12) - 5)*-60. Suppose -4*s = -3*t + 35, -2*t = -6*t + 4*s + j. What is f in t*f + 2*f**3 + 20*f**2 + 9*f + 20*f + 16 = 0?
-8, -1
Suppose -3*j + 33 = -69. Let l = -114 + 117. Factor 31 - 675*x**4 + 160*x - 360*x**2 + 5 + 10 - 1080*x**l + j.
-5*(3*x + 2)**3*(5*x - 2)
Factor 824*v + 208*v**2 + 2/3*v**3 + 2464/3.
2*(v + 2)**2*(v + 308)/3
Let s(i) = 61*i**2 + 11. Let o be s(-5). Factor 2*d**3 - 300*d + d**3 - o - 72*d**2 + 876*d.
3*(d - 8)**3
Let o = -1459303/8 + 182415. What is n in -3*n**3 + 0 - o*n**4 + 45/8*n**5 + 0*n - 1/2*n**2 = 0?
-2/5, -2/9, 0, 1
Factor -160/3*f - 1/3*f**2 + 108.
-(f - 2)*(f + 162)/3
Suppose 5*s + n = 29, 357 - 52 = 41*s - 3*n. Suppose 1/7*i**3 - 2*i**2 + 0 + s*i = 0. What is i?
0, 7
Let t(l) = l**4 - 2*l**3 + l**2 - l - 2. Let s(w) = 20*w**4 - 92*w**3 - 104*w**2 - 14*w + 124. Let g(u) = 2*s(u) - 44*t(u). Factor g(c).
-4*(c - 1)*(c + 2)**2*(c + 21)
Let l(u) be the second derivative of u**6/30 + u**5/4 - 35*u**4/12 - 55*u**3/2 - 63*u**2 + 5042*u - 2. Let l(k) = 0. Calculate k.
-7, -3, -1, 6
Let s(h) = 79*h - 324. Let m be s(4). Let t be m/68 + (-438)/(-255). Solve -3/5*f**4 + 11/5*f**2 - 7/5*f**3 + 6/5*f - t + 1/5*f**5 = 0.
-2, -1, 1, 4
Let w(q) be the first derivative of 288/5*q - 23 - 24/5*q**2 + 2/15*q**3. Factor w(g).
2*(g - 12)**2/5
Let m(u) be the first derivative of -8/5*u**5 - 5 + 1/2*u**4 + 13/8*u**3 + 9/16*u**2 + 0*u. Let m(f) = 0. What is f?
-3/8, 0, 1
Suppose -65*k + 102294 = -7491. Let j = -1689 + k. Factor -3/2*n + j - 9/4*n**2 - 3/4*n**3.
-3*n*(n + 1)*(n + 2)/4
Let l(i) be the third derivative of 7/40*i**5 - 1/140*i**7 + 117*i - 1/80*i**6 - 3/2*i**3 + 1/16*i**4 + 0 + i**2. What is u in l(u) = 0?
-3, -1, 1, 2
Let i(x) be the second derivative of x**4/60 + 25*x**3/6 - 63*x**2/5 + 2*x - 560. Determine r, given that i(r) = 0.
-126, 1
Suppose 25*o + 57 = -37043. Let y = 1488 + o. Factor -4/5*j**y + j**3 + 1/5*j**5 - 2/5*j**2 + 0*j + 0.
j**2*(j - 2)*(j - 1)**2/5
Let p(g) = g**3 - 14*g**2 - 21*g - 174. Let f be p(16). Let c(j) be the first derivative of 28/15*j**3 - 12/5*j + 14/5*j**f - 3/5*j**4 + 1. Factor c(x).
-4*(x - 3)*(x + 1)*(3*x - 1)/5
Let d be 441/(-2 + 3)*1/3. Suppose 10*i = -47 + d. What is c in -6 - 16*c - 14 - 6*c**2 + i*c**2 = 0?
-1, 5
Let r(a) be the first derivative of -4*a**5/45 - 4*a**4/3 + 8*a**3/3 + 72*a**2 - 324*a - 1575. Factor r(y).
-4*(y - 3)**2*(y + 9)**2/9
Let n(y) = -5*y**2 - 7*y + 18. Let i(d) be the second derivative of d**4/3 + 7*d**3/6 - 8*d**2 - d + 4. Let c(r) = -6*i(r) - 5*n(r). Factor c(h).
(h - 6)*(h - 1)
Let n = 45921893/2 + -503655651/22. Let -285610/11*k + 130/11*k**4 + n - 2/11*k**5 + 43940/11*k**2 - 3380/11*k**3 = 0. What is k?
13
Let f be 38/3 + (-70)/105. Let d be (-291)/(-57) - 3 - (-10 + f). Find n, given that d + 4/19*n + 2/19*n**2 = 0.
-1
Let n(y) be the second derivative of 5*y**4/3 - 58*y**3/3 + 72*y**2 - 47*y - 15. Solve n(t) = 0.
9/5, 4
Suppose 81*d + 5*d**3 + 1/4*d**4 + 63/2*d**2 + 297/4 = 0. What is d?
-11, -3
Let b(s) be the first derivative of 2*s**5/5 + 15*s**4/2 + 28*s**3 - 160*s**2 - 768*s + 1915. Solve b(v) = 0.
-8, -2, 3
Suppose 3*i + 4 = 5*i. Solve 88*q**2 + 105*q - 161*q**2 + 78*q**i + 190 = 0.
-19, -2
Suppose 16*c**3 + 2/3*c**4 - 16*c + 86/3*c**2 - 88/3 = 0. Calculate c.
-22, -2, -1, 1
Let l(o) = -16*o**2 - 19*o + 2. Let f(j) be the first derivative of 5*j**3 + 19*j**2/2 - 2*j - 263. Let r(w) = -5*f(w) - 6*l(w). Factor r(m).
(m + 1)*(21*m - 2)
Let q be (-18)/(-11) + (-112)/(-75768)*3854. Factor -20/3*z - 2/3*z**2 + q.
-2*(z - 1)*(z + 11)/3
Let i(a) be the third derivative of a**5/160 - 113*a**4/64 + 124*a**2 - 3. Let i(d) = 0. What is d?
0, 113
Factor 2/19*k**4 + 496/19*k**2 + 498/19*k**3 + 0 + 0*k.
2*k**2*(k + 1)*(k + 248)/19
Let f(r) be the second derivative of 380*r**3 - 2285/12*r**4 - 86*r - 8/3*r**6 + 0 + 38*r**5 - 360*r**2. Solve f(t) = 0.
3/4, 4
Let i = -528 + 535. Factor -3*h**3 - 3468*h - i*h**2 + 97*h**2 + 114*h**2.
-3*h*(h - 34)**2
Let w(s) = 12*s - 338. Let q be w(28). Let d be 3 + 0 - (q + 11 + -8). Determine t, given that 2*t**d - 4/5*t - 8/5*t**3 + 2/5*t**4 + 0 = 0.
0, 1, 2
Let w(b) be the second derivative of b**7/42 + b**6 + 7*b**5/5 - 5*b**4/2 - 29*b**3/6 + 1299*b. Let w(o) = 0. Calculate o.
-29, -1, 0, 1
Let n(z) be the second derivative of 19/30*z**5 + 384*z**2 + 457/36*z**4 - 223*z + 0 + 1/90*z**6 + 304/3*z**3. Factor n(m).
(m + 3)**2*(m + 16)**2/3
Let k(y) be the second derivative of y**6/120 - y**5/20 - 67*y**4/48 + 65*y**3/12 + 150*y**2 - 1757*y. Suppose k(q) = 0. What is q?
-5, 6, 8
Suppose -5159*j = -5*d - 5158*j - 1, -3*d = -2*j + 16. Factor -2/11*h**d + 2/11*h**5 - 6/11*h**4 + 6/11*h**3 + 0 + 0*h.
2*h**2*(h - 1)**3/11
Let d be (-1)/(-3)*((-2475)/50 - -54). Factor y**2 + d*y + 2/3 + 1/6*y**3.
(y + 1)**2*(y + 4)/6
Let f = -1206021 - -6031563/5. Factor f*b + 0 - 108/5*b**2 + 2/5*b**3.
2*b*(b - 27)**2/5
Let p(y) be the second derivative of 14*y**6/15 - 1116*y**5/5 + 15090*y**4 - 125768*y**3/3 + 37446*y**2 - 7617*y. Suppose p(b) = 0. Calculate b.
3/7, 1, 79
Let u(s) be the second derivative of s + 1/40*s**5 - 2*s**3 + 0 + 7/16*s**4 - 8*s**2. Let c(g) be the first derivative of u(g). Factor c(l).
3*(l - 1)*(l + 8)/2
Let d(o) be the third derivative of -o**6/900 - 4*o**5/75 - o**4/4 + 97*o**3/6 - 18*o**2. Let f(t) be the first derivative of d(t). Find p, given that f(p) = 0.
-15, -1
Let f be (-2448)/414 - 4/46. Let s be (1*(-2)/f)/1. Suppose s*i**2 + 2/3 - i = 0. What is i?
1, 2
Let w(k) be the third derivative of -7*k**2 - 5/6*k**4 + 6*k + 0 + 0*k**3 - 1/24*k**6 + 1/3*k**5. Solve w(s) = 0 for s.
0, 2
Let p(c) be the first derivative of -1/5*c**5 - 2*c**2 - 1/2*c**4 + 7/3*c**3 + 0*c - 46. Factor p(v).
-v*(v - 1)**2*(v + 4)
Let u(w) = 2*w - 1. Let v(y) = -39 - 50*y**2 + 16*y + 95*y**2 + 11*y - 48*y**2. Let p(m) = 3*u(m) - v(m). Find h such that p(h) = 0.
3, 4
Let b = -43 - -71. 