*r**5 - 1/5*r**4 - 7 + 0*r**2 + 0*r - p*r**3. Determine a so that d(a) = 0.
-1, 0
Let d(y) be the third derivative of y**5/30 - y**4/3 + y**3 + 52*y**2 + y. Suppose d(s) = 0. Calculate s.
1, 3
Let s(g) be the second derivative of g**6/2 - 13*g**5/4 + 65*g**4/12 - 5*g**3/2 + 15*g - 2. What is j in s(j) = 0?
0, 1/3, 1, 3
Suppose -72*o = -55*o - 119. Let y(i) be the third derivative of 0*i + 0 + 2/5*i**5 - 11/40*i**6 + 0*i**3 + 10*i**2 + 1/2*i**4 + 3/70*i**o. Factor y(u).
3*u*(u - 2)**2*(3*u + 1)
Let n(y) be the third derivative of y**6/40 - 49*y**5/20 + 78*y**4 - 288*y**3 + 268*y**2. Factor n(t).
3*(t - 24)**2*(t - 1)
What is y in -38/7*y**2 - 1/7*y**3 - 320/7*y + 800/7 = 0?
-20, 2
Suppose -60*q = -59*q - 2. Determine a, given that -4/3*a**q + 0 + 2/9*a + 4/3*a**4 - 2/9*a**3 = 0.
-1, 0, 1/6, 1
Let g(z) = 10*z**3 - 8*z**2 + 24*z - 5. Let c = -73 - -71. Let o(v) = 3*v**3 - 3*v**2 + 8*v - 2. Let t(x) = c*g(x) + 7*o(x). Find r, given that t(r) = 0.
1, 2
Let p(o) be the second derivative of -2*o + 4/3*o**2 + 0 - 1/2*o**3 + 1/36*o**4. Factor p(i).
(i - 8)*(i - 1)/3
Factor 85750/9 + 70/3*g**2 + 2450/3*g + 2/9*g**3.
2*(g + 35)**3/9
Solve -l**2 - 8*l**2 - 5547 - 84*l + 4*l**2 + 2*l**2 + 342*l = 0 for l.
43
Suppose -4*d + 4/5*d**2 + 4/5*d**4 - 8/5 - 8/5*d**5 + 28/5*d**3 = 0. Calculate d.
-1, -1/2, 1, 2
Let z(a) = a - 3. Let v be z(6). Suppose 4*s - 4*m + 16 = 56, 2*s + v*m + 5 = 0. Factor 0*w + 0 + 6/7*w**4 + 2/7*w**3 + 0*w**2 + 4/7*w**s.
2*w**3*(w + 1)*(2*w + 1)/7
Let s(t) be the second derivative of 0 + 0*t**3 + 1/6*t**4 - 1/15*t**5 - 1/3*t**2 - 7*t. Solve s(b) = 0 for b.
-1/2, 1
Let g(v) be the third derivative of v**6/120 + 11*v**5/60 + 5*v**4/12 + 2*v**3 + 2*v**2. Let i be g(-10). Solve i*h**4 - 24*h + 4 + 26*h**3 + 16*h - 4 = 0.
-2, -2/3, 0, 1/2
Let 0 + 0*h**2 + h**4 + 1/4*h**5 + 0*h + 0*h**3 = 0. What is h?
-4, 0
Let j(k) = -k**2 + 17*k - 68. Let m be j(9). Let q(u) be the first derivative of -3/20*u**m + 0*u + 0*u**3 - 4 + 3/10*u**2. Factor q(o).
-3*o*(o - 1)*(o + 1)/5
Let o(g) = -2*g**2 + 7*g + 34. Let f(p) = -p**2 + 5*p - 1. Let j(y) = 3*f(y) - 3*o(y). Factor j(u).
3*(u - 7)*(u + 5)
Let x(y) be the first derivative of 62/27*y**3 - 37/18*y**4 + 7/27*y**6 + 2/9*y**5 + 0*y - 2/3*y**2 - 13. Find v such that x(v) = 0.
-3, 0, 2/7, 1
Let g(v) be the first derivative of -5*v**4/4 - 35*v**3/3 - 107. What is l in g(l) = 0?
-7, 0
Factor 400/3 - 2/3*o**3 + 44/3*o**2 - 280/3*o.
-2*(o - 10)**2*(o - 2)/3
Factor -8*j - 5/2*j**2 - 8 - 1/4*j**3.
-(j + 2)*(j + 4)**2/4
Let s(j) be the third derivative of j**6/60 - 4*j**5/15 + 17*j**4/12 - 10*j**3/3 - 5*j**2 - 29*j. Factor s(z).
2*(z - 5)*(z - 2)*(z - 1)
Let z(w) be the first derivative of 4*w**3/27 + 76*w**2/9 + 1444*w/9 - 47. Factor z(y).
4*(y + 19)**2/9
Let r(b) = -b**2 + 1. Let c(d) = 11*d**2 - 5*d - 6. Let f(z) = 41*z**2 + z - 2. Let q be f(1). Let l(g) = q*r(g) + 5*c(g). Factor l(w).
5*(w - 1)*(3*w - 2)
Let m(z) be the second derivative of z**4/90 - 31*z**3/45 - 32*z**2/15 - 140*z. Let m(j) = 0. Calculate j.
-1, 32
Factor 27/5*c - 24/5 - 3/5*c**2.
-3*(c - 8)*(c - 1)/5
Let z(f) = -71*f**4 - 84*f**3 + 96*f**2 + 97*f - 90. Let y(u) = -33*u**4 - 42*u**3 + 48*u**2 + 48*u - 45. Let b(o) = -13*y(o) + 6*z(o). Factor b(d).
3*(d - 1)**2*(d + 1)*(d + 15)
Let k = -24 + 22. Let w = 2 - k. Let g(j) = -5*j**2 - 2*j + 4. Let a(i) = 6*i**2 + 3*i - 5. Let c(m) = w*a(m) + 5*g(m). Determine d so that c(d) = 0.
0, 2
Let k(j) be the third derivative of -j**7/525 + j**6/300 + j**5/30 + j**4/20 + 334*j**2. What is q in k(q) = 0?
-1, 0, 3
Suppose -4*w - 5*h = -2, 5*w - h = w + 14. Find n such that -18*n**w - 15*n**2 + 6*n**2 - 21*n**2 - 63*n**3 - 15*n**4 = 0.
-5, -2/5, 0
Let w(t) be the first derivative of t**3 + 15*t**2/2 - 42*t - 3. Determine v so that w(v) = 0.
-7, 2
Factor 2715*h**2 - 491415*h + 29648705 + 662*h**3 + 672*h**3 - 2001*h**3 + 662*h**3.
-5*(h - 181)**3
Let r(j) be the first derivative of j**5/5 + 9*j**4/2 - 83*j**3/3 + 54*j**2 - 44*j - 38. Suppose r(i) = 0. Calculate i.
-22, 1, 2
Let d be (-20)/(-6) - 4 - (-32)/3. Suppose -4*h = -b + d, -2*h + 2 = 5*b + 2*h. Factor 1/4*t**b + 0*t - 1/4.
(t - 1)*(t + 1)/4
Let i(m) be the third derivative of m**6/120 - 31*m**5/20 + 961*m**4/8 - 29791*m**3/6 - 72*m**2 - 1. Factor i(q).
(q - 31)**3
Let b(j) be the second derivative of -j**5/160 + j**3/48 - 111*j. Solve b(l) = 0 for l.
-1, 0, 1
Let h(w) = w**2 - w. Let i(k) = -5*k**2 + 7*k + 4. Let d(z) = -4*h(z) - i(z). Find u such that d(u) = 0.
-1, 4
Let c(n) = -7 - 2*n + 0 + n + 5. Let j be c(-4). Let 4/5*o + 2/5 + 2/5*o**j = 0. Calculate o.
-1
Let l = -3197/21 - -1068/7. Factor k**2 + 0 - l*k**3 - 2/3*k.
-k*(k - 2)*(k - 1)/3
Let -3/7*g**5 + 9/7*g**3 - 6/7*g + 3/7*g**2 - 3/7*g**4 + 0 = 0. What is g?
-2, -1, 0, 1
Let z be 7/(-2)*((-22)/21 - (-74)/111). Determine t so that -16/3*t**2 + 8/3*t**4 + 4/3*t + 8/3 - 8/3*t**3 + z*t**5 = 0.
-2, -1, 1
Let y(m) be the third derivative of 0*m + 0 + 1/40*m**6 - 1/8*m**4 + 0*m**5 + 16*m**2 + 0*m**3. Factor y(s).
3*s*(s - 1)*(s + 1)
Let y(h) be the second derivative of -h**7/840 - h**6/48 - 3*h**5/20 + 11*h**4/6 - 31*h. Let q(k) be the third derivative of y(k). Find f, given that q(f) = 0.
-3, -2
Let y be (-4)/(9/(-6)*4) + (-123)/(-18). Solve -22*l + y*l**4 - 25*l**5 - 9/2*l**2 + 6 + 56*l**3 = 0 for l.
-1, 2/5, 3/2
Let g(n) be the first derivative of n**3 - 9 - 6*n - 3/2*n**2. Factor g(u).
3*(u - 2)*(u + 1)
Let w = -204 - -2246/11. Suppose 2/11*t + 0 - 2/11*t**3 - w*t**4 + 2/11*t**2 = 0. What is t?
-1, 0, 1
Factor 80*g + 26*g**2 - 6 - 9*g**2 - 8*g**2 + 406 - 14*g**2.
-5*(g - 20)*(g + 4)
Let i(g) be the second derivative of 72/13*g**2 - 33*g + 76/13*g**3 + 0 + 7/130*g**5 - 41/39*g**4. Factor i(w).
2*(w - 6)**2*(7*w + 2)/13
Let r(i) = i + 6. Let f be r(-4). Let c = -1/8 - -19/24. Solve -c*d**f + 2/3 + 0*d = 0 for d.
-1, 1
Let o(j) = j**2 + 6*j + 12. Let m be o(-4). Let w be m*((-6)/2 + 4). Determine s, given that 0 + 1/3*s**2 + 0*s + 1/3*s**w - 2/3*s**3 = 0.
0, 1
Factor 0 + 2/3*k**5 + 0*k**2 - 16/3*k**3 - 4/3*k**4 + 0*k.
2*k**3*(k - 4)*(k + 2)/3
Let p(i) be the third derivative of -i**8/40320 + i**7/20160 + i**6/2880 + 13*i**5/60 - 8*i**2. Let t(s) be the third derivative of p(s). Factor t(x).
-(x - 1)*(2*x + 1)/4
Let x = -45 + 45. Suppose 4*v - 9*v + 10 = x. Factor 6/5*l + 4/5 + 2/5*l**v.
2*(l + 1)*(l + 2)/5
Let v be 3/(-9)*(-168)/364. Suppose -4/13*n**2 + 0 + 0*n + v*n**3 = 0. What is n?
0, 2
Suppose -8 = -l - 14. Let t = 6 + l. Let 0 + t*r - 1/4*r**2 = 0. Calculate r.
0
Let m(b) be the third derivative of b**7/1050 + 11*b**6/300 + 97*b**5/300 - 11*b**4/5 + 24*b**3/5 - 171*b**2. Factor m(s).
(s - 1)**2*(s + 12)**2/5
Let u(k) be the first derivative of 4*k**3/27 - 4*k**2/9 - 145. Factor u(b).
4*b*(b - 2)/9
Suppose -15*i**3 - 350*i**4 + 355*i**4 - 40*i**2 - 20*i**3 = 0. Calculate i.
-1, 0, 8
What is n in 14/11*n**4 - 26/11*n**3 + 0 - 6/11*n**2 + 36/11*n - 2/11*n**5 = 0?
-1, 0, 2, 3
Factor -c + 35*c + 27*c**2 + 119*c - 30*c**2.
-3*c*(c - 51)
Let 764/3*i**3 + 242/3*i + 106*i**4 + 10 + 6*i**5 + 676/3*i**2 = 0. What is i?
-15, -1, -1/3
Let j be 118/295*((-9)/(-6) + 0). Determine i, given that -i + 3/10 + 6/5*i**2 + 1/10*i**4 - j*i**3 = 0.
1, 3
Let b be (-30)/(-39)*52/12. Factor -5*u**4 - 5/3*u**5 + 5*u - 10/3*u**3 + b*u**2 + 5/3.
-5*(u - 1)*(u + 1)**4/3
Suppose -3*o = 2*h, -492*o + 487*o - 19 = -3*h. Factor m**h + 0*m + 0 + 1/2*m**2 + 1/2*m**4.
m**2*(m + 1)**2/2
Let y = -216 - -221. Let t(o) be the third derivative of 0*o - 1/20*o**y - o**3 - 3*o**2 + 3/8*o**4 + 0. Suppose t(l) = 0. Calculate l.
1, 2
Let p(k) be the second derivative of k**5/20 - k**3/6 - 49*k - 3. Find f, given that p(f) = 0.
-1, 0, 1
Let p(u) = 2*u**2 - u + 6. Let x be p(2). Let d be (x/(-10))/(176/(-40) - -3). What is z in d*z + 2/7*z**2 + 4/7 = 0?
-2, -1
Let x be (-3 - (2 - 2)) + 5. Suppose 4*l = 5*r - 3, 3 = -5*l + x*l + 4*r. Factor 31 - 3*u**4 - 2*u - 37 - u + 9*u**2 + 3*u**l.
-3*(u - 2)*(u - 1)*(u + 1)**2
Let w(o) be the second derivative of 3*o**5/20 - o**4/4 + 2*o**3/3 - o**2/2 + 39*o. Let v be w(1). Factor u - u**4 + 2*u**v - 1/5 - 2*u**2 + 1/5*u**5.
(u - 1)**5/5
Let s(a) = -2*a**2 + 16. Let o be s(3). Let i(y) = 7*y**2 - 2*y. Let h(u) = 4*u - 4*u - u**2. Let r(m) = o*i(m) - 18*h(m). Factor r(g).
4*g*(g + 1)
Let g(m) = -m**3 