tive of -2*m**7/525 + 19*m**6/600 - 9*m**5/100 + m**4/15 + 2*m**3/15 - 73*m**2 + 2. Determine c, given that l(c) = 0.
-1/4, 1, 2
Let h(y) be the second derivative of -3*y**5/20 - y**4/4 + 8*y**3 + 24*y**2 + 2*y + 36. Determine s so that h(s) = 0.
-4, -1, 4
Let q(z) be the second derivative of z**6/120 - 3*z**5/40 + z**4/4 + z**3/2 + 39*z. Let s(d) be the second derivative of q(d). Factor s(r).
3*(r - 2)*(r - 1)
Let w(x) be the third derivative of 4/45*x**7 + 2/45*x**6 + 0*x**3 + 0*x**5 + 0*x**4 + 0*x + 0 - 3*x**2 + 7/144*x**8. Determine n so that w(n) = 0.
-4/7, 0
Factor 0 + 214/9*z - 2/9*z**2.
-2*z*(z - 107)/9
Determine q, given that 3*q**2 - 15*q + 14*q + q**4 + q**3 - 11*q - 4*q**2 - 7*q**2 = 0.
-2, 0, 3
Suppose -12077*v = -12050*v - 135. Let w = -1 - -1. Determine i, given that -1/4*i**v - 1/4*i**3 + 0*i + 1/2*i**4 + w + 0*i**2 = 0.
0, 1
Let s(c) = 5*c**2 + 46*c - 57. Let w(q) = -6*q**2 - 45*q + 60. Let d(a) = -3*s(a) - 2*w(a). Determine f, given that d(f) = 0.
-17, 1
Let n(d) be the third derivative of d**5/210 + 3*d**4/28 + 6*d**3/7 - 16*d**2 - 7. Factor n(o).
2*(o + 3)*(o + 6)/7
Suppose 2*m - j = 3*j + 96, -3*j = -3*m + 141. Suppose 0 = 4*o - 3*n + 19 - m, -4*o + 7 = n. Solve 189 - 189 + k**o - 2*k**4 + k**5 = 0.
0, 1
Let y(b) be the first derivative of -b**4/14 + b**2/7 - 392. Determine m so that y(m) = 0.
-1, 0, 1
Let u(r) be the third derivative of 2*r**7/35 - 4*r**6/15 - r**5/5 + 2*r**4 + 8*r**3/3 + 42*r**2. Factor u(g).
4*(g - 2)**2*(g + 1)*(3*g + 1)
Let i(k) be the second derivative of -1/36*k**4 + 1/180*k**6 + k**2 - 4*k - 1/9*k**3 + 0 + 1/90*k**5. Let c(j) be the first derivative of i(j). Factor c(y).
2*(y - 1)*(y + 1)**2/3
Let w(l) = -27*l**3 - 32*l**2 - 4*l + 4. Let q = 139 - 135. Let b(f) = 27*f**3 + 31*f**2 + 5*f - 3. Let z(s) = q*w(s) + 5*b(s). Factor z(v).
(3*v + 1)**3
Let q(t) be the third derivative of t**8/1344 + 3*t**7/140 - t**6/24 - 3*t**5/40 + 19*t**4/96 + 134*t**2. Determine p so that q(p) = 0.
-19, -1, 0, 1
Suppose 112*x - 150*x = 0. Suppose x + 2/3*q**2 - 2/9*q - 4/9*q**3 = 0. Calculate q.
0, 1/2, 1
Suppose 4*b - 8 = q - 2*q, 14 = 3*q + 2*b. Let m be ((-6)/(-15))/(32/20). Factor m - 1/4*c**q - 1/2*c + 1/2*c**3 + 0*c**2.
-(c - 1)**3*(c + 1)/4
Let h(k) be the second derivative of 2*k**7/21 + 28*k**6/15 + 73*k**5/5 + 172*k**4/3 + 352*k**3/3 + 128*k**2 + 366*k - 1. Find l such that h(l) = 0.
-4, -1
Let n(v) = -9*v**4 + 4*v**3 + 13*v**2. Let j(y) = -3*y**4 + 2*y**4 - y**3 - 3*y**2 + y**4 + 2*y**4. Let k(w) = -26*j(w) - 6*n(w). Suppose k(m) = 0. What is m?
-1, 0
Let f = -8/235 - -383/9870. Let x(g) be the second derivative of 0*g**6 + 0*g**2 + 1/30*g**3 + 0 - 1/50*g**5 + f*g**7 + g + 0*g**4. Solve x(y) = 0 for y.
-1, 0, 1
Let -3964/5*g**2 - 2/5*g**5 + 2304/5*g - 132/5*g**4 - 2302/5*g**3 + 4096/5 = 0. Calculate g.
-32, -2, -1, 1
Suppose 3*k - 26 = -2*t, 4 = -k - 5*t + 17. Solve 6*z**4 - 6*z**3 + 5*z**2 - k*z**2 - 9*z**4 = 0 for z.
-1, 0
Let i(o) be the second derivative of o**6/8 - 81*o**5/20 - 11*o**4/4 - o + 80. Let i(s) = 0. What is s?
-2/5, 0, 22
Let y(a) be the second derivative of -1/80*a**5 + 1/48*a**4 + 0 + 0*a**2 - 1/120*a**6 + 11*a + 1/24*a**3. Factor y(j).
-j*(j - 1)*(j + 1)**2/4
Let y(p) = 10*p**2 - 1700*p + 72245. Let c(z) = 5*z**2 - 850*z + 36123. Let m(o) = -5*c(o) + 2*y(o). Find s such that m(s) = 0.
85
Let w(o) = o**2 - 7*o - 12. Let d be w(9). Suppose -s - 4 = -d. Find c, given that -2*c**3 + 63 - 2*c - 63 - 4*c**s = 0.
-1, 0
Factor 0 - 1/4*m**2 + 11/4*m.
-m*(m - 11)/4
Let m be (-147)/(-6) + (15/10 - 2). Let s - m*s**3 + 26*s**3 - 12*s**2 + 17*s = 0. Calculate s.
0, 3
Suppose -n + 4*h - 8 = 0, 4*h = 6 + 2. Let x(j) be the first derivative of 2 - 1/5*j**2 + n*j - 2/15*j**3. Determine c, given that x(c) = 0.
-1, 0
Let i(c) = -2*c**3 + 14*c**2 + 24*c - 38. Let n(h) = -8*h**3 + 41*h**2 + 73*h - 113. Let k(w) = 7*i(w) - 2*n(w). Factor k(g).
2*(g - 1)*(g + 4)*(g + 5)
Let b = 2/11137 - -133634/55685. Factor -b*m - 12/5*m**3 - 3/5*m**4 - 18/5*m**2 - 3/5.
-3*(m + 1)**4/5
Let x(b) = -10*b**2 + 162*b - 32. Let t be x(16). Factor 1/2*y**2 + 1/4*y**5 + t - 1/4*y**3 - 1/2*y**4 + 0*y.
y**2*(y - 2)*(y - 1)*(y + 1)/4
Factor -4/3*i**4 + 0*i + 0 + 4/3*i**3 + 1/3*i**5 + 0*i**2.
i**3*(i - 2)**2/3
Let 58/5*t**3 + 8/15*t**4 + 424/15*t + 188/5*t**2 - 48/5 = 0. Calculate t.
-18, -2, 1/4
Let h(z) be the third derivative of z**9/4536 - z**7/420 - z**6/270 - 5*z**3/3 - 12*z**2. Let s(v) be the first derivative of h(v). What is a in s(a) = 0?
-1, 0, 2
Find f, given that -1482/5*f**3 + 1113/5*f**4 - 72/5*f + 0 - 147/5*f**5 + 588/5*f**2 = 0.
0, 2/7, 1, 6
Let j(k) be the first derivative of 0*k**2 + 1/120*k**5 + 0*k - 2/3*k**3 + 1/360*k**6 + 3 + 0*k**4. Let s(g) be the third derivative of j(g). Factor s(n).
n*(n + 1)
Let b be (-1)/(-2)*(2 + -8). Let p = b + 5. Determine f, given that -3*f**2 + 4*f**5 - 3*f**2 - 6*f**3 - f**p + f + 21*f**3 - 13*f**4 = 0.
0, 1/4, 1
Let x(l) be the first derivative of l**6/2 + 21*l**5/5 + 6*l**4 - 16*l**3 - 98. Factor x(u).
3*u**2*(u - 1)*(u + 4)**2
Let m(i) be the second derivative of -i**5/12 - 5*i**4/36 + 5*i**3/9 + 46*i + 1. Factor m(l).
-5*l*(l - 1)*(l + 2)/3
Suppose -4*a = -32*c + 31*c + 10, 0 = 4*c - 4*a - 16. Factor 8/5*d**5 + 1944/5*d - 2628/5*d**c - 432/5 - 152/5*d**4 + 202*d**3.
2*(d - 6)**3*(2*d - 1)**2/5
Let c = 540 - 540. Let b(m) be the first derivative of -2/3*m**6 + 2 - 2*m**2 + c*m**3 + 0*m + 0*m**5 + 2*m**4. Factor b(t).
-4*t*(t - 1)**2*(t + 1)**2
Let n(z) be the second derivative of -z**5/70 - z**4/14 - z**3/7 - 3*z**2 + 9*z. Let k(g) be the first derivative of n(g). Factor k(o).
-6*(o + 1)**2/7
Let j(q) = -q**4 - 6*q**3 + 14*q**2 + 12*q - 25. Let t(x) = x**4 + 5*x**3 - 15*x**2 - 13*x + 30. Let n(r) = 4*j(r) + 3*t(r). Factor n(c).
-(c - 1)**2*(c + 1)*(c + 10)
Suppose 5 = -o + 1, 4*i + 420 = 3*o. Let q be (-2)/6 - -10*(-6)/i. Solve 4/9*n + 0 - q*n**4 + 2/9*n**2 - 4/9*n**3 = 0.
-2, -1, 0, 1
Let p = -4514 - -4516. Factor p*d**3 + 2/9 + 10/3*d**2 + 14/9*d.
2*(d + 1)*(3*d + 1)**2/9
Let y(s) be the third derivative of 0 + 0*s - 23/24*s**6 - 3*s**2 - 5/3*s**3 + 13/6*s**5 - 35/24*s**4 + 1/7*s**7. Let y(b) = 0. Calculate b.
-1/6, 1, 2
Suppose 0 = -3*o - 2*t + 12, 3*t - 1 - 2 = 3*o. Suppose -6*r = -2*r - 12. Determine l so that -4/13*l**o + 0 + 4/13*l**4 + 0*l**r + 2/13*l - 2/13*l**5 = 0.
-1, 0, 1
Let y(j) be the third derivative of -6*j**2 - 1/525*j**7 + 0*j + 0*j**3 + 0*j**5 + 0 + 0*j**4 - 1/300*j**6. Factor y(s).
-2*s**3*(s + 1)/5
Let x(v) be the second derivative of 0 - 7/3*v**3 + 1/12*v**4 - 2*v + 49/2*v**2. Find n, given that x(n) = 0.
7
Factor 32/7 + 2/7*y**4 + 8*y**2 + 72/7*y + 18/7*y**3.
2*(y + 1)*(y + 2)**2*(y + 4)/7
Let n be 70/245*(-308)/(-16). Find p such that 7*p**2 + 3*p**3 - 1/2*p**5 - 1/2*p**4 + 3/2 + n*p = 0.
-1, 3
Suppose 48/5 + 2*w**2 - 58/5*w = 0. What is w?
1, 24/5
Let f(j) = -5*j**3 - 4*j**2 - 3*j - 4. Let s(u) = -6*u**3 - 5*u**2 - 4*u - 5. Suppose -13*r + 4*r = -45. Let k(i) = r*f(i) - 4*s(i). Factor k(g).
-g*(g - 1)*(g + 1)
Suppose 0 = 2*z - 8. Let d(l) = 2*l**3 - 12*l**2 + 10*l. Let o(r) = -6*r**3 + 35*r**2 - 29*r. Let m(v) = z*o(v) + 11*d(v). Factor m(u).
-2*u*(u - 3)*(u - 1)
Let s(h) = h + 2. Let x be s(1). Suppose -x*j = -8 + 2. Factor i**2 - 13*i**4 - i + j*i - 5*i**3 - 5*i**5 + i - 4*i**3.
-i*(i + 1)**3*(5*i - 2)
Let l = 535 - 532. Let z(g) be the second derivative of 0*g**2 - 1/2*g**5 - 1/3*g**4 - l*g + 0*g**3 - 1/21*g**7 + 0 - 4/15*g**6. Suppose z(d) = 0. Calculate d.
-2, -1, 0
Let s = 1 + -1. Factor 6*h**2 - 8*h**2 + 7*h**3 + s*h**2 - 5*h**4.
-h**2*(h - 1)*(5*h - 2)
Let r(n) = -28*n**2 - 76*n - 88. Let v(f) = 9*f**2 + 25*f + 29. Let l(c) = -5*r(c) - 16*v(c). Factor l(b).
-4*(b + 2)*(b + 3)
Let c(j) = 7*j**4 + j**3 + j + 1. Let p(o) = -121*o**4 - 443*o**3 + 336*o**2 + 181*o + 17. Let d(f) = 3*c(f) + p(f). Let d(g) = 0. Calculate g.
-5, -1/5, 1
Let g(x) = 3*x**3 - 7*x + 2. Let w be g(2). Factor 25*z + 20*z**2 - 9*z + w + 4*z**3 + 12*z.
4*(z + 1)**2*(z + 3)
Let y = -189 + 188. Let p(c) be the third derivative of -c**5/30 + c**4/24 - c**3/3 + c**2. Let n(o) = o**2. Let w(d) = y*p(d) - 3*n(d). Factor w(k).
-(k - 1)*(k + 2)
Let i(m) be the third derivative of 2*m**2 + 0 + 0*m + 1/180*m**5 + 1/540*m**6 + 0*m**4 - 3/2*m**3. Let o(t) be the first derivative of i(t