third derivative of 0*f + 0 - 3/4*f**3 + 131*f**2 - 3/40*f**5 + 11/32*f**4 + 1/160*f**6. Suppose b(i) = 0. Calculate i.
1, 2, 3
Let r(n) be the second derivative of 1/360*n**6 + 10/3*n**3 - 1/40*n**5 + 1/12*n**4 + 0 + 0*n**2 - 14*n. Let y(j) be the second derivative of r(j). Factor y(f).
(f - 2)*(f - 1)
Let w(f) be the third derivative of -f**6/90 + 13*f**5/15 - 169*f**4/6 - 4*f**3/3 + 65*f**2. Let m(c) be the first derivative of w(c). Factor m(a).
-4*(a - 13)**2
Let v(k) be the third derivative of k**5/90 - 503*k**4/3 + 1012036*k**3 + 2848*k**2. Factor v(c).
2*(c - 3018)**2/3
Suppose 5*l - 35 = 3*u, 4*l + 5 - 41 = 4*u. Find s, given that -2*s**l + s**2 + 48066*s - 3*s**3 + s**5 + 7*s**2 - 48070*s = 0.
-2, 0, 1, 2
Let d be -7*8/(-672) - (-210)/72. Let 4/5*f + 4/5*f**d - 8/5*f**2 + 0 = 0. What is f?
0, 1
Let t be (-1*1)/(31/(-1240)). Factor -t*l**2 - 32*l + 16*l**2 + 28*l**2.
4*l*(l - 8)
Let k(v) = -6*v**3 - 54*v**2 - 298*v - 2679. Let b be k(-9). Suppose 0 - 225/4*w**5 - 90*w**b + 120*w**2 - 190*w**4 - 20*w = 0. What is w?
-2, 0, 2/9, 2/5
Factor 3/8*n**3 + 29/8*n + 3/2 - 5/2*n**2.
(n - 4)*(n - 3)*(3*n + 1)/8
Let z(l) = 5*l**4 - 81*l**3 - 160*l**2 - 145*l - 7. Let i(b) = b**4 - 5*b**3 + b - 1. Let d(w) = -7*i(w) + z(w). Suppose d(h) = 0. Calculate h.
-19, -2, 0
Let j be -7*(-2)/(-2) + 6. Let o = 4 - j. What is g in 0 - 4/5*g + 2/5*g**2 + 6/5*g**3 - 2/5*g**o - 2/5*g**4 = 0?
-2, -1, 0, 1
Let v = 15/7423 + 126026/81653. What is n in -v + 16/11*n**2 - 18/11*n + 18/11*n**3 + 1/11*n**4 = 0?
-17, -1, 1
Let g(k) be the third derivative of 0*k - 228*k**2 + 1/105*k**6 + 1/588*k**8 + 0*k**4 + 0*k**5 + 0*k**3 + 2/245*k**7 + 0. Let g(x) = 0. What is x?
-2, -1, 0
Let c be 318/(-27) + 12 - 32/(-18). Factor 2*p**3 - 22*p**c - 6 - 84*p**4 + 42*p**4 + 22*p + 46*p**4.
2*(p - 1)**2*(p + 3)*(2*p - 1)
Let t(r) be the third derivative of -529/15*r**5 + 0 + 0*r - 23/3*r**4 - 2/3*r**3 + 80*r**2. Factor t(s).
-4*(23*s + 1)**2
Let f(g) be the third derivative of -2/105*g**7 - 11*g**2 + 1/6*g**4 + 1/15*g**5 + 0*g - 1/30*g**6 + 0*g**3 + 7. Factor f(h).
-4*h*(h - 1)*(h + 1)**2
Let c be (68/(-170))/((-128)/64). Let -6/5 - c*g**2 - g = 0. Calculate g.
-3, -2
Let q(v) be the second derivative of -v**7/315 - v**6/90 + v**5/30 + 45*v**2 - v - 42. Let m(k) be the first derivative of q(k). Factor m(z).
-2*z**2*(z - 1)*(z + 3)/3
Let h(g) be the second derivative of -g**5/5 + 11*g**4/3 - 64*g**3/3 + 56*g**2 + 4*g + 238. Find c, given that h(c) = 0.
2, 7
Factor 8*v + 0 - 1/3*v**3 - 10/3*v**2.
-v*(v - 2)*(v + 12)/3
Let f = -65 + 68. Suppose -f*g - 2*i + 66 = 0, -2*i - 2*i = -5*g + 110. Let 2*z**5 + g*z**3 - 2*z - 7*z**5 + z**5 - 16*z**3 + 7*z**4 - 7*z**2 = 0. Calculate z.
-1, -1/4, 0, 1, 2
Determine w so that 9*w**5 - 228185 + 114089 - 84*w**4 + 40*w**3 + 431*w + 114166 + 686*w**2 = 0.
-2, -1/3, 5, 7
Let y(k) be the second derivative of -144/17*k**2 + 13/255*k**6 - 1/357*k**7 + 95/102*k**4 + 8/17*k**3 - 59/170*k**5 - 134*k + 0. Find l such that y(l) = 0.
-1, 3, 4
Let s(o) = 12*o**3 - 940*o**2 + 3684*o - 2744. Let k(v) = 34*v**3 - 2818*v**2 + 11050*v - 8233. Let x(f) = 4*k(f) - 11*s(f). Solve x(h) = 0.
1, 3, 229
Factor 4*d**3 + 742 - 743 - 43*d - 140*d**2 - 479 + 265*d + 394*d.
4*(d - 30)*(d - 4)*(d - 1)
Let r(x) be the first derivative of -13 + 4*x + 0*x**2 + 1/180*x**5 + 0*x**4 - 1/54*x**3. Let c(j) be the first derivative of r(j). Factor c(w).
w*(w - 1)*(w + 1)/9
Let m(q) be the second derivative of -3*q**5/20 - 28*q**4 - 1568*q**3 - 848*q. Factor m(l).
-3*l*(l + 56)**2
Let 69*b**2 - 141*b**2 + 283 + 839*b + 67*b**2 + 1787 + 186*b = 0. What is b?
-2, 207
Suppose 11 = 4*s - 5*m, -994 = -8*s + 4*m - 942. Solve 3/2*g**2 + s - 15/2*g = 0 for g.
2, 3
Let x(p) = -3*p**2 + 12*p + 2. Suppose 0 = 9*g - 8*g + 3*z, 4*z = g. Let y be x(g). Factor -1 + 1/5*m**y + 4/5*m.
(m - 1)*(m + 5)/5
Let t(h) be the first derivative of 93 + 2*h**2 - 19/9*h**3 + 7/12*h**4 + 0*h. Factor t(y).
y*(y - 1)*(7*y - 12)/3
Let v be (-2 - -6) + 16/(-10 - -6). Suppose v = 152*c - 151*c. Factor 2/3*d**2 + 2/5*d**3 + 4/15*d + c - 2/15*d**4 - 2/15*d**5.
-2*d*(d - 2)*(d + 1)**3/15
Let k be 70/(-80)*(-6)/21. Let v(t) be the second derivative of 5*t**2 + 5/3*t**4 - 46*t + k*t**5 + 0 + 25/6*t**3. Let v(h) = 0. What is h?
-2, -1
Let m(n) be the third derivative of 29*n**2 + 0*n + 0 + 0*n**4 - 1/630*n**5 + 0*n**3 - 1/2205*n**7 - 1/630*n**6. Find x such that m(x) = 0.
-1, 0
Determine o so that 63072*o + 127896 + 3/4*o**3 - 873/2*o**2 = 0.
-2, 292
Let f be ((-538)/18)/(5320/(-210)). Let a = 4/57 + f. Suppose -a*c**2 - 5/4 - 5/2*c = 0. Calculate c.
-1
Let m be 8 + (-3 - 4) + (-4 - -7). Let i(n) be the third derivative of 1/48*n**m + 0*n**3 + 0 + n**2 + 0*n + 1/120*n**5. Factor i(s).
s*(s + 1)/2
What is b in -160*b - 454 + 2*b**2 + 342 - 216 = 0?
-2, 82
Let p(h) be the third derivative of 0 - 90*h**2 - 1/42*h**7 + 1/15*h**5 + 0*h**3 + 1/336*h**8 + 1/20*h**6 - 1/3*h**4 + 0*h. Determine f so that p(f) = 0.
-1, 0, 2
Suppose -14*s + 44 = -40. Let g(j) = 9*j**3 - 6*j**2 - 54*j + 6. Let q(w) = w**3 + w**2 - 3*w + 1. Let l(i) = s*q(i) - g(i). Factor l(k).
-3*k*(k - 6)*(k + 2)
Let d = -170/4117 - -1056502/61755. Let 4/15*w**5 + 18/5*w**4 + 64/5*w + 98/15*w**3 - 604/15*w**2 + d = 0. What is w?
-8, -1/2, 1, 2
Let b = -61569 - -123139/2. What is h in -14/3*h**3 + 25/3*h + 0 - b*h**4 - 55/6*h**2 = 0?
-5, 0, 2/3
Let j(w) = -5*w**3 + 4*w**2 + 16*w - 26. Let o(i) = i**3 - i**2 - 3*i + 5. Let b be 416/(-234) - (-4)/(-18). Let n(m) = b*j(m) - 11*o(m). Factor n(f).
-(f - 3)*(f - 1)*(f + 1)
Suppose -6*z + 256 = 22. Suppose 5*j + 1 - z = -3*d, 16 = 4*j. Factor -10*n + 12*n**2 + 2*n + n**4 - d*n + 5 - 2*n**3 - 2*n**4.
-(n - 1)**3*(n + 5)
Let n = -35932/95 - -7460/19. Let n*r - 3/5*r**2 + 0 = 0. Calculate r.
0, 24
Let c(r) = r**2 + 57*r + 2. Let a(f) = -15*f**2 - 912*f - 33. Suppose -43*p - 363 = -54*p. Let q(o) = p*c(o) + 2*a(o). What is h in q(h) = 0?
-19, 0
Let q(x) = 640*x**3 - 2380*x**2 + 2375*x + 5. Let l(f) = f**4 + 645*f**3 - 2376*f**2 + 2374*f + 6. Let h(v) = 5*l(v) - 6*q(v). Let h(i) = 0. Calculate i.
0, 2, 119
Suppose 5*u - 4*b - 56 = 0, -2*u + 7*b = 10*b - 4. Factor 6*k**3 - 3*k + 23 + u*k - 25*k**2 + 34*k - 14*k**2 + 7.
3*(k - 5)*(k - 2)*(2*k + 1)
Let z(i) be the first derivative of 2*i**3 + 11*i**2/2 - 2*i - 505. Let x be z(-2). Factor 0*r**4 - 1/2*r**3 + x + 0*r**2 + 1/4*r**5 + 1/4*r.
r*(r - 1)**2*(r + 1)**2/4
Let u(m) be the third derivative of m**5/120 - 5*m**4/12 - 489*m**2. Factor u(s).
s*(s - 20)/2
Let n(h) = 2*h**4 - 93*h**3 + 288*h**2 + 9*h. Let t(g) = 8*g**4 - 375*g**3 + 1152*g**2 + 33*g. Let q(u) = 22*n(u) - 6*t(u). Factor q(w).
-4*w**2*(w - 48)*(w - 3)
Suppose -r = r + 4*z - 72, -z - 117 = -4*r. Let m(d) = d - 2. Let i be m(5). Determine g, given that -r*g**3 - g**4 - 14*g**4 + 22*g**i - g**2 - g**4 = 0.
-1/4, 0
Factor -166*k - 64*k**2 + 852*k**3 - 454*k - 552 - 848*k**3.
4*(k - 23)*(k + 1)*(k + 6)
Let c(z) = -17*z + 139. Let o be c(8). Factor 36 + 0*b**3 - 3*b**o + 243*b + 87 + 117*b**2.
-3*(b - 41)*(b + 1)**2
Suppose -2*n + 1531 = -j, -4*n + 3044 = -0*j + 4*j. Suppose -2*x - 5*d + 551 = 0, 3*x - 13*d - n = -8*d. Factor 254 + 4*f - 15*f**2 - x - 3*f**3 - 18*f - 7*f.
-3*(f + 1)**2*(f + 3)
Factor 2873025 + 1695*q + 1/4*q**2.
(q + 3390)**2/4
Let m(s) be the first derivative of 16 + 0*s + 5/3*s**3 + 1/4*s**4 + 2*s**2. Factor m(i).
i*(i + 1)*(i + 4)
Let n(y) be the first derivative of 81/2*y**4 - 60*y**3 + 0*y - 39/5*y**5 + 12*y**2 + 61. Factor n(p).
-3*p*(p - 2)**2*(13*p - 2)
Let g(r) be the third derivative of r**7/1050 - 53*r**6/600 - 14*r**5/75 + 9*r**4/10 - 933*r**2 + 2*r. Solve g(t) = 0.
-2, 0, 1, 54
Let z(f) be the first derivative of 17/10*f**3 + 7/40*f**4 + 21/5*f**2 + 41 + 2*f. What is k in z(k) = 0?
-5, -2, -2/7
Let f be (-1400)/105*7/(-105)*33/4. Find l, given that 2/3*l**4 - 16/3 + 12*l + 0*l**3 - f*l**2 = 0.
-4, 1, 2
Suppose -4*b + 368 = 316. Factor -5*s + 144 + s**2 - b*s - 6*s.
(s - 12)**2
Factor 303*x + 0 - 3/2*x**2.
-3*x*(x - 202)/2
Let v(o) be the second derivative of 0*o**3 + 0*o**2 + 11/15*o**5 + 1/18*o**7 - 4/9*o**6 + 4/9*o**4 + 11*o + 2. Determine x, given that v(x) = 0.
-2/7, 0, 2, 4
Let x(q) be the first derivative of -5*q**6/9 + 134*q**5/15 + 377*q**4/6 + 1282*q**3/9 + 148*q**2 + 72*q + 5865. Find m suc