ond derivative of d**4/12 - d**3/6 - 10*d**2 - 6*d - 3. Factor c(l).
(l - 5)*(l + 4)
Let z(i) be the third derivative of -i**6/1140 + i**5/570 + 94*i**2. Suppose z(j) = 0. What is j?
0, 1
Let h(o) = -7*o**2 - 2*o + 16. Let y be h(5). Let p = 1199/7 + y. Find q such that 8/7*q + 0 - 90/7*q**4 - 102/7*q**3 - p*q**2 = 0.
-2/3, 0, 1/5
Let g(k) = k**4 - k**3 + k + 1. Let y be ((-56)/(-21) - 2)*(-9)/2. Let a(h) = 10*h + 4 - 10*h**3 - 4 + 4 + 9*h**4 + 3. Let z(v) = y*a(v) + 24*g(v). Factor z(m).
-3*(m - 1)**3*(m + 1)
Let i = 3596 - 25166/7. Factor n - 1/7*n**2 - i.
-(n - 6)*(n - 1)/7
Let k = -84 + 89. Factor 18*w - w**3 + 3*w**3 + 5*w**k - 19*w - 6*w**5.
-w*(w - 1)**2*(w + 1)**2
Determine k, given that 32/7*k**3 + 72/7*k**2 + 20/7 + 4/7*k**4 + 64/7*k = 0.
-5, -1
Let -1/2*d**4 - 52*d - 29/2*d**2 + 7*d**3 - 30 = 0. What is d?
-1, 6, 10
Let u(v) = -5*v**3 + 20*v**2 + 189*v - 1188. Let f(b) = 21*b**3 - 81*b**2 - 756*b + 4758. Let r(y) = -2*f(y) - 9*u(y). Factor r(a).
3*(a - 7)**2*(a + 8)
Let c = -49 - -50. Let f be (c/(70/63))/(3/5). Determine u, given that 3/4*u**2 + 3/4 - f*u = 0.
1
Let r(g) be the first derivative of 3*g**4/4 + 11*g**3 - 3*g**2/2 - 33*g + 12. Factor r(f).
3*(f - 1)*(f + 1)*(f + 11)
Let v = 2703 - 13511/5. Solve 82/5*l**3 - 56/5*l**4 - 22/5*l - v + 0*l**2 = 0.
-2/7, -1/4, 1
Let d be 495/135 + (0 - (-6)/(-9)). Factor 4*r**d + 0 - 16/3*r - 4/3*r**4 + 0*r**2.
-4*r*(r - 2)**2*(r + 1)/3
Let p(u) be the first derivative of u**6/45 - 2*u**5/15 + 5*u**4/18 - 2*u**3/9 - 16*u - 2. Let f(h) be the first derivative of p(h). Find i such that f(i) = 0.
0, 1, 2
Suppose -6*u + 0 = -18. Let y be (u/(-4))/((-3)/(-11)) - -3. Solve 0*b - y*b**2 + 1/4*b**4 + 0 + 1/4*b**5 - 1/4*b**3 = 0.
-1, 0, 1
Let s(r) be the third derivative of 0*r + 0 + 1/315*r**7 + 0*r**3 + 1/180*r**6 + 6*r**2 - 1/45*r**5 + 0*r**4. Factor s(p).
2*p**2*(p - 1)*(p + 2)/3
Let f be ((-472)/560 + 12/10)/(1/12). Factor -39/7*q**2 - 108/7*q**4 + 180/7*q**3 - f*q - 3/7.
-3*(q - 1)**2*(6*q + 1)**2/7
Let t(g) be the third derivative of 0*g + 1/7*g**6 + 5/28*g**4 - 33/140*g**5 + 0 - 8/245*g**7 - 1/14*g**3 + 15*g**2. Factor t(l).
-3*(l - 1)**2*(4*l - 1)**2/7
Factor -11*j**2 - 8*j**2 + 25 + 14*j**2 + 15*j + 25.
-5*(j - 5)*(j + 2)
Solve 32/3*q**4 - 6*q**5 + 0 + 4*q**2 + 0*q + 62/3*q**3 = 0.
-1, -2/9, 0, 3
Let i be 40/15*-3 + 204/20. Determine v so that -3/5*v**4 - 1/5*v**5 + 4/5 + i*v**2 + 12/5*v + 1/5*v**3 = 0.
-2, -1, 2
Find f such that 0 - f**2 - 1/4*f**3 + 1/4*f**4 + f = 0.
-2, 0, 1, 2
Let n(j) be the first derivative of -j**6/840 - j**5/210 - j**4/168 + 26*j**3/3 + 16. Let o(r) be the third derivative of n(r). Factor o(c).
-(c + 1)*(3*c + 1)/7
Let x(z) = -57*z**2 + 66*z - 17. Let d(w) = 7*w**2 - 8*w + 2. Let r(m) = -51*d(m) - 6*x(m). Factor r(u).
-3*u*(5*u - 4)
Let s be ((-4)/(-14))/((-1)/(-7)). Let -b**2 + 3*b - 6*b**s + 10*b**2 = 0. Calculate b.
-1, 0
Let g(n) be the first derivative of 4/25*n**5 + 1/5*n**4 + 0*n - 2/5*n**2 + 51 - 4/15*n**3. Factor g(v).
4*v*(v - 1)*(v + 1)**2/5
Let -2/5*u**4 - 34/5*u**2 - 12/5 + 14/5*u**3 + 34/5*u = 0. Calculate u.
1, 2, 3
Let p(f) be the second derivative of 0*f**3 + 2/45*f**6 + 0 + 0*f**2 - 1/126*f**7 - 1/12*f**5 + 1/18*f**4 + 10*f. Factor p(z).
-z**2*(z - 2)*(z - 1)**2/3
Let i = -85 + 82. Let p(n) = 7*n**4 + 28*n**3 + 44*n**2 + 23*n + 3. Let b(u) = u**4 + u + 1. Let t(o) = i*b(o) + p(o). Factor t(s).
4*s*(s + 1)**2*(s + 5)
Let b = 10816/9 + -54074/45. Factor -96/5*a**2 - 194/15*a**3 - 128/15*a - 12/5*a**4 - b*a**5 + 0.
-2*a*(a + 1)**2*(a + 8)**2/15
Let l be 5 - (36/60 + 22/5). Let n(b) be the third derivative of 0 - 1/12*b**4 + 1/30*b**5 - 8*b**2 + l*b**3 + 0*b. Factor n(r).
2*r*(r - 1)
Let o(j) = 9*j**3 + 15*j**2 - 21*j - 225. Let c(v) = 8*v**3 + 16*v**2 - 20*v - 225. Let z(k) = -6*c(k) + 5*o(k). Let z(d) = 0. Calculate d.
-5, 3
Let m(d) = -2*d**2 + 47*d - 266. Let b be m(10). Factor -14/9*h - 4/9*h**3 + 4/9 + 16/9*h**2 - 4/9*h**b + 2/9*h**5.
2*(h - 1)**4*(h + 2)/9
Let y = 288/5 + -531/10. Factor y*z - 3/2*z**2 - 3.
-3*(z - 2)*(z - 1)/2
Let v be (12 + (-14 - 1))*5/(45/(-6)). Suppose -4/3*y + 4/3 + 1/3*y**v = 0. What is y?
2
Let u(o) = -o**3 + 39*o**2 + 372*o + 188. Let g be u(47). Find z such that g - 4/17*z**2 + 14/17*z**3 + 0*z = 0.
0, 2/7
Let u(n) be the third derivative of -n**8/84 - 2*n**7/15 + n**6/15 + 46*n**5/15 - 65*n**4/6 + 50*n**3/3 - 2*n**2 + 208*n. Find q, given that u(q) = 0.
-5, 1
Let t(l) be the second derivative of -l**6/6 + 5*l**4/4 - 5*l**3/3 + 9*l. Factor t(m).
-5*m*(m - 1)**2*(m + 2)
Let i(n) be the second derivative of -n**4/48 - n**3/4 - n**2 - 124*n + 1. Factor i(j).
-(j + 2)*(j + 4)/4
Let q be (-507)/(-54) - -1*(1 + 2). Let s = 77/6 - q. Factor s*t**2 + 0*t + 0 - 14/9*t**3 - 8/9*t**4.
-2*t**2*(t + 2)*(4*t - 1)/9
Let y(f) be the first derivative of 100*f**3/9 + 104*f**2/3 + 16*f/3 - 20. What is w in y(w) = 0?
-2, -2/25
Let p(w) = 5*w + 12. Let j be p(-4). Let r = 12 + j. Let -5*s**2 - 5 - r*s - s - 5*s = 0. What is s?
-1
Let q(m) be the third derivative of 25*m**8/224 - 3*m**7/7 + 47*m**6/80 - 3*m**5/10 - 768*m**2. Determine d so that q(d) = 0.
0, 3/5, 4/5, 1
Let l(t) be the third derivative of t**8/4032 + t**7/168 + t**6/16 + 4*t**5/15 - 7*t**2. Let n(y) be the third derivative of l(y). Solve n(h) = 0.
-3
Let c(p) = p**5 + p**4 - 3*p**3 - 19*p**2 + 11*p. Let b(u) = -2*u**2 + u. Let j(f) = -36*b(f) + 4*c(f). Factor j(z).
4*z*(z - 1)**2*(z + 1)*(z + 2)
Let o(m) = 485*m**3 - 1940*m**2 + 1870*m + 85. Let f(p) = 242*p**3 - 970*p**2 + 934*p + 43. Let i(u) = 5*f(u) - 3*o(u). Factor i(r).
-5*(r - 2)**2*(49*r + 2)
Let d(g) be the second derivative of -10*g + 1/15*g**5 + 0*g**2 + 1/18*g**4 + 0 + 1/45*g**6 + 0*g**3. Factor d(l).
2*l**2*(l + 1)**2/3
Let o = -30/71 - -1264/639. Determine y so that -4/9 - o*y - 2/3*y**3 - 16/9*y**2 = 0.
-1, -2/3
Let c(b) = 4*b - b - 4*b - b**2 + 1. Let q(p) = -3 - 24*p**2 + 23*p**2 + 5*p**2 + 4*p. Let y(n) = -6*c(n) - 2*q(n). Factor y(r).
-2*r*(r + 1)
Factor -48 - 1/2*i**3 + 16*i + i**2.
-(i - 4)**2*(i + 6)/2
Let g(k) be the third derivative of -1/2*k**3 + 1/20*k**5 + 0*k + 1/8*k**4 - 1/40*k**6 + 0 - 6*k**2. Factor g(i).
-3*(i - 1)**2*(i + 1)
Let f = 17 - 41. Let m be (-2)/(-9) - f/(-108). Let -3/5*d**2 - 6/5*d**3 + 6/5*d + 3/5*d**4 + m = 0. What is d?
-1, 0, 1, 2
Let t(y) = 3*y**5 + 4*y**4 + 9*y**3 - 8*y**2 - 7*y + 4. Let d(b) = b**5 + 2*b**4 + 4*b**3 - 4*b**2 - 3*b + 2. Let j(v) = 5*d(v) - 2*t(v). Solve j(k) = 0.
-1, 1, 2
Let j = -10904/7 + 1558. Let z(b) be the first derivative of 10 + 0*b**2 - j*b**3 + 3/28*b**4 + 0*b. Factor z(u).
3*u**2*(u - 2)/7
Factor 8/3*f + 1/3*f**2 + 7/3.
(f + 1)*(f + 7)/3
Let r = 27 + -17. Suppose -2*g + y + r = 0, 9 + 17 = 5*g - 3*y. Factor 3*l**4 + 3*l**3 + 2*l**4 - g*l - 4*l**4.
l*(l - 1)*(l + 2)**2
Let f(w) be the second derivative of w**4/6 + 2*w**3/3 + 163*w. Factor f(x).
2*x*(x + 2)
Let h(x) be the third derivative of 7*x**7/60 - 259*x**6/120 + 71*x**5/30 - 5*x**4/6 - 5*x**2 + 6. Find b such that h(b) = 0.
0, 2/7, 10
Suppose 3/7*z + 78/7*z**2 + 0 = 0. What is z?
-1/26, 0
Let w = 27 + -24. Factor -7*z**w + 14*z**3 - 8*z**4 + 4*z**2 - 21*z**3.
-2*z**2*(z + 2)*(4*z - 1)
Let b(v) = 2*v**2 - 2. Suppose 2*h = -h - 5*w, h - 2*w = -11. Let d(x) = 4*x**2 - 4. Let i(a) = h*b(a) + 2*d(a). Suppose i(q) = 0. Calculate q.
-1, 1
Let d = -4 - -6. Let s = 1163/6 - 381/2. What is c in -s*c**4 - 4/3 + 34/3*c**3 - 4*c**5 - 14/3*c + 2*c**d = 0?
-2, -1/2, -1/3, 1
Let d(k) be the first derivative of -5*k**4 - 5*k**3/3 + 10*k**2 + 5*k + 115. Find p such that d(p) = 0.
-1, -1/4, 1
Let j(c) be the second derivative of -c**4/18 + 358*c**3/9 - 32041*c**2/3 + 645*c. Factor j(n).
-2*(n - 179)**2/3
Let m = -5332/5 - -1067. Determine w so that 0*w + 0 - 3/5*w**5 + 3/5*w**3 + m*w**2 - 3/5*w**4 = 0.
-1, 0, 1
Factor -28/9*r**2 - 4/3 - 34/9*r - 2/3*r**3.
-2*(r + 1)*(r + 3)*(3*r + 2)/9
Let q(g) be the third derivative of -15*g**2 + 243/10*g**4 - 81/50*g**5 - 1/1050*g**7 + 0*g + 0 - 2187/10*g**3 + 3/50*g**6. Solve q(c) = 0.
9
Factor -180 - 5*i**4 + 196*i - 2934*i**3 - 65*i**2 + 2884*i**3 + 104*i.
-5*(i - 1)**2*(i + 6)**2
Let n be (-20)/(-250)*-19 + 2. Let h(d) be the first derivative of 0*d**4 + 0*d**2 + 9 + n*d**5 + 0*d - 1/5*d**3. Solve h(a) = 0.
-1/2, 0, 1/2
Let z(c) = c**3 - c + 4. Let m(n) = 9*n**3 + 