vative of q**5/25 - 5*q**4/4 - q**3/5 + 77*q**2/10 - 10*q + 829. Determine d so that i(d) = 0.
-2, 1, 25
Let q(b) = -6*b + 4*b - 3*b + 12 + b**2 - 4*b. Let d be q(8). Factor -24*p**2 - d - 4*p**4 - 15*p + 16*p**3 + 31*p + 0.
-4*(p - 1)**4
Suppose -4*t + l = 5, -16*t + 15 = -13*t + 3*l. Factor -2/13*g**2 - 2/13*g + t.
-2*g*(g + 1)/13
Find n such that -3 - 19*n**4 - n**4 - 212*n**3 - 612*n**2 + 203 - 220*n = 0.
-5, -1, 2/5
Let z(f) be the third derivative of 1/10*f**5 + 1/3*f**4 + 10*f**2 + 0*f + 1/3*f**3 + 0. Factor z(l).
2*(l + 1)*(3*l + 1)
Suppose 2*o + l + 4*l - 31 = 0, 5*o - 4*l + 5 = 0. Let v(b) be the second derivative of 0*b**2 + 0 + 1/3*b**o + 1/20*b**5 - 14*b - 1/4*b**4. Factor v(g).
g*(g - 2)*(g - 1)
Let q(o) be the second derivative of o**6/10 + 27*o**5/5 + 179*o**4/2 + 306*o**3 + 867*o**2/2 - 287*o. Factor q(c).
3*(c + 1)**2*(c + 17)**2
Let r(h) = 5*h**2 - 14*h - 11. Let v(p) = 3*p**2 - 9*p - 7. Suppose 26*g = 22*g + 32. Let m(a) = g*v(a) - 5*r(a). Factor m(i).
-(i + 1)**2
Let i = -182/85 + 1481/255. Let -i - 10/3*w + 1/3*w**2 = 0. What is w?
-1, 11
Let r(l) be the third derivative of -1/1440*l**6 + 0*l - 1/240*l**5 + 1/6*l**3 + 0*l**4 + 0 - 11*l**2. Let j(d) be the first derivative of r(d). Factor j(h).
-h*(h + 2)/4
Let g(c) be the second derivative of c**7/84 - c**6/12 + c**5/8 + 5*c**4/24 - c**3/2 + 73*c. Determine r, given that g(r) = 0.
-1, 0, 1, 2, 3
Suppose 0 = -2*w, 3*i - 6*w = -3*w + 3. Let y be (-27)/(-9) - 0/i. Let -69/4*s**2 + 143/2*s**y - 11*s - 1 - 169/4*s**4 = 0. Calculate s.
-2/13, 1
Let h = -239149/11 - -21743. What is z in 0 + 32/11*z - h*z**3 + 8/11*z**2 + 2/11*z**4 + 2/11*z**5 = 0?
-4, -1, 0, 2
Let b = 44 - 19. Factor -7*k**4 - k**4 - b*k**3 - 25*k**2 + 1 - k**5 - 9 - 13*k**2 - 28*k.
-(k + 1)**2*(k + 2)**3
Let 1040*m**3 + 4257*m - 15789*m - 1041*m**3 - 186*m**2 - 238328 = 0. What is m?
-62
Let n = 126 - 118. Let g(r) = 36*r**4 + 96*r**3 - 248*r**2 - 192*r. Let c(j) = 24*j**4 + 64*j**3 - 165*j**2 - 128*j. Let q(o) = n*c(o) - 5*g(o). Factor q(h).
4*h*(h - 2)*(h + 4)*(3*h + 2)
Let d(v) be the first derivative of v**4/4 - 17*v**3/12 + 2*v**2 - 3*v/4 - 135. Find t, given that d(t) = 0.
1/4, 1, 3
Let n(p) = -7*p**2 + 6*p + 1. Let q(u) = -15*u**2 + 11*u + 4. Let o(k) = 15*n(k) - 6*q(k). Suppose o(v) = 0. What is v?
3/5, 1
Let v(c) be the second derivative of c**8/10080 - c**6/1080 - 17*c**4/12 - 5*c. Let b(h) be the third derivative of v(h). Factor b(k).
2*k*(k - 1)*(k + 1)/3
Let f(o) be the third derivative of o**7/280 + 3*o**6/80 + 9*o**5/80 + o**4/8 + 73*o**2. Determine w so that f(w) = 0.
-4, -1, 0
Let d(c) = -20*c**2 + 59*c - 51. Let a(j) = -7*j**2 + 20*j - 18. Let i(k) = -17*a(k) + 6*d(k). Suppose i(m) = 0. Calculate m.
0, 14
Let z = -25 - -27. Let v be 12/(-9)*(-3)/z. Solve v*d**2 - 2*d**3 + 3*d**3 - 4*d**3 + d**2 = 0 for d.
0, 1
Let z(b) be the second derivative of b**7/63 + 2*b**6/15 + b**5/15 - 8*b**4/3 - 11*b**3 - 18*b**2 + 269*b. Determine y so that z(y) = 0.
-3, -2, -1, 3
Let b = 55507/208320 - -3/13888. What is o in -2/15*o + b*o**2 - 2/15*o**3 + 0 = 0?
0, 1
Let b(y) be the second derivative of -y**7/3780 - y**6/1620 + y**3/6 - 9*y. Let p(g) be the second derivative of b(g). Factor p(v).
-2*v**2*(v + 1)/9
Let f(v) be the third derivative of -1/315*v**7 - 13*v**2 + 1/90*v**5 + 0*v + 1/336*v**8 + 0*v**3 - 1/120*v**6 + 0 + 0*v**4. What is k in f(k) = 0?
-1, 0, 2/3, 1
Let q = 25 - 174. Let f = -146 - q. What is r in 0 + 4/5*r + 2/5*r**f + 6/5*r**2 = 0?
-2, -1, 0
Factor 2*h**2 - 2/5*h**3 + 4/5*h - 48/5.
-2*(h - 4)*(h - 3)*(h + 2)/5
Solve -2/7*q**5 + 78/7*q + 36/7 + 40/7*q**2 - 12/7*q**4 - 12/7*q**3 = 0.
-3, -1, 2
Let t(b) be the second derivative of b**9/12600 + b**8/3360 + b**7/3150 + 15*b**4/4 + 3*b. Let w(l) be the third derivative of t(l). Factor w(c).
2*c**2*(c + 1)*(3*c + 2)/5
Find j such that 0 - 6/5*j**4 + 4/15*j**5 + 4/3*j**3 + 0*j - 2/5*j**2 = 0.
0, 1/2, 1, 3
Suppose 152*r - 24 - 722/3*r**2 = 0. Calculate r.
6/19
Let w(b) = -6*b**4 + 6*b**3 + 55*b**2 - 19*b - 149. Let u(r) = 9*r**4 - 9*r**3 - 83*r**2 + 29*r + 223. Let o(t) = 5*u(t) + 7*w(t). Factor o(s).
3*(s - 3)*(s - 2)*(s + 2)**2
Let c(n) be the third derivative of 1/3*n**5 - 2/21*n**7 + 24*n**2 + 0 + 0*n**3 + 0*n + 1/3*n**4 + 1/12*n**8 - 3/10*n**6. What is s in c(s) = 0?
-1, -2/7, 0, 1
Let h(c) be the second derivative of -c**5/20 - c**4/3 + c**2 - 6*c. Let t be h(-4). Factor -6*v**2 - 20*v**3 - 4*v**4 - 16*v + 15*v**2 - 23*v**2 - 18*v**t.
-4*v*(v + 1)*(v + 2)**2
Let p(k) = -9*k + 29. Let i be p(3). Factor i + 4/3*t + 2/9*t**2.
2*(t + 3)**2/9
Let n(j) be the first derivative of -2*j**3/15 + 9*j**2/5 - 8*j - 335. Factor n(c).
-2*(c - 5)*(c - 4)/5
Let g(r) = -r**2 - 6*r + 2. Let o be -2 + 1 + -6 + 1. Let a be g(o). Factor 1/2 + 1/2*w**4 + 2*w**3 + 2*w + 3*w**a.
(w + 1)**4/2
What is t in -70 - 56*t**2 + 5*t + 15*t**2 - 5*t**3 + 111*t**2 = 0?
-1, 1, 14
Let t(c) be the first derivative of -2*c**6/15 + c**5/5 + 5*c**4/3 + 2*c**3 - 5*c + 26. Let j(v) be the first derivative of t(v). Determine l so that j(l) = 0.
-1, 0, 3
Let h(z) = -15*z + 105. Let d be h(7). Factor d*n + 6/5*n**4 + 0 - 4/5*n**2 - 2/5*n**3.
2*n**2*(n - 1)*(3*n + 2)/5
Factor 1/4*j**5 - 5/2*j**4 - 37/2*j**2 - 6 + 39/4*j**3 + 17*j.
(j - 3)*(j - 2)**3*(j - 1)/4
Suppose 6*z + 3 - 9 = 0. Let d be z + 1/(-6)*2. Solve 0*t + d*t**4 - 2/3*t**3 + 0*t**2 + 0 = 0.
0, 1
Let x(n) be the third derivative of -n**7/630 - 11*n**6/90 - 121*n**5/30 + 17*n**4/12 + 14*n**2. Let v(r) be the second derivative of x(r). Factor v(t).
-4*(t + 11)**2
Factor 256/3*t + 0 + 1/3*t**3 + 32/3*t**2.
t*(t + 16)**2/3
Let p = -17138 - -17143. Solve p - 5/2*o - 5/2*o**2 = 0 for o.
-2, 1
Suppose 4*j - 13 + 37 = 0. Let o(c) = -778*c**2 + 112*c - 10. Let h(l) = 2335*l**2 - 336*l + 29. Let p(i) = j*h(i) - 17*o(i). Factor p(f).
-4*(14*f - 1)**2
Let l be 5 + (0 - 2)*1. Suppose -24 = -3*y - 3*h, 0*y = -l*y + 3*h. Factor 4*s**5 - 2*s**3 - s**5 + y*s**5 - 5*s**5 - 2*s**2 + 2*s**4.
2*s**2*(s - 1)*(s + 1)**2
Factor 0*h + 0 + 18/17*h**3 + 10/17*h**2 - 4/17*h**4.
-2*h**2*(h - 5)*(2*h + 1)/17
Let u(d) be the first derivative of -9 + 1/12*d**3 + 0*d + 1/32*d**4 + 1/16*d**2. Solve u(x) = 0.
-1, 0
Let 8 - 2*r**3 - 20*r + 8*r**3 - 2*r**2 - r**3 = 0. Calculate r.
-2, 2/5, 2
Factor 160*b - 100/3 - 192*b**2.
-4*(12*b - 5)**2/3
Suppose 0 = 2*n - 1 - 3. Let w be (3 + 0)*(-4)/(-6). Factor 4*x**5 - 2*x**2 + x**w + 8*x**4 - 4*x - 7*x**n.
4*x*(x - 1)*(x + 1)**3
Let t(w) = -11*w - 10. Let y be t(1). Let a be (-6)/4*28/y. Factor a + 0*u + 3/2*u**4 - 9/2*u**2 - u**3.
(u - 2)*(u + 1)**2*(3*u - 2)/2
Let x(y) = 26*y**3 - 16. Let l(o) = 5*o**3 - 3. Suppose -6*n + n = 0. Let t be -8 + 5 - (n - 0). Let z(d) = t*x(d) + 16*l(d). Factor z(c).
2*c**3
Let c = 5026 - 5023. Solve -3/5*l**c + 1536/5 + 72/5*l**2 - 576/5*l = 0 for l.
8
Let x(g) be the second derivative of 13*g**4/24 - 25*g**3/12 - g**2/2 + 11*g. Let x(r) = 0. Calculate r.
-1/13, 2
Let m(l) be the first derivative of -2*l**5/55 - 12*l**4/11 - 416*l**3/33 - 768*l**2/11 - 2048*l/11 + 122. Suppose m(j) = 0. What is j?
-8, -4
Suppose 28*f - 31*f = 6. Let b be (-4 - 1)/(5/f). Factor 0*r**b - 2/9 + 2/9*r**4 + 4/9*r - 4/9*r**3.
2*(r - 1)**3*(r + 1)/9
Let k = 1885 + -1885. Solve k + 1/2*b + 1/2*b**2 = 0.
-1, 0
Let c(y) = -8*y + 144. Let r be c(18). Let z(q) be the second derivative of 1/6*q**4 + 2/3*q**3 - 1/10*q**5 + 0*q**2 + 9*q + r. Suppose z(d) = 0. Calculate d.
-1, 0, 2
Let x(y) = y**3 - 3*y**2 + 4. Let w be x(3). Suppose -w*j + 20 = -24. Factor -36 + 3*g**3 + 2*g**2 - 12*g + j*g**2 + 7*g**2 - 7*g**3.
-4*(g - 3)**2*(g + 1)
Suppose -2*k = -6*k. Let w(d) be the second derivative of k*d**5 + 1/3*d**3 + 2*d - 1/30*d**6 + 1/4*d**4 + 0 + 0*d**2. Factor w(l).
-l*(l - 2)*(l + 1)**2
Let c(j) be the first derivative of -5*j**4 + 5 + 8/3*j**3 + 0*j + 0*j**2. Find n, given that c(n) = 0.
0, 2/5
Let r be ((-16)/4)/((-2)/2). Let i(l) = -l**2 + 6*l - 5. Let f be i(r). Suppose -2*h**f + 0*h - 8*h - 6*h**2 + 0*h**2 - 2*h**2 = 0. Calculate h.
-2, 0
Let y be 995748/26620 + (-12)/20. Let s = y - 8/1331. Factor -1274/5*p**3 - s*p + 686/5*p**4 + 756/5*p**2 + 16/5.
2*(p - 1)*(7*p - 2)**3/5
Let f = 14811 + -14808. Let -2*t + 2/3*t**4 - 2/3*t**f + 0 - 10/3*t**2 = 0. Calculate t.
-1, 0, 3
Let u(d) = -d**4 + 6*d**3 - 4*d**2 - 10*d 