the first derivative of f(m). Solve k(u) = 0 for u.
-5, -2
Let w be (3 + (-4 - 7))/((-4)/42). Let s be 3/(-4) - (-231)/w. Let -20*r**2 - 9*r**3 + 5*r**3 - 4*r - s*r**3 - 6*r**3 + 20*r**4 + 16*r**5 = 0. What is r?
-1, -1/4, 0, 1
Let s = -5/394692 - -4429323/131564. Factor 35/3*o**3 + s*o**2 - 4 - 16/3*o.
(o + 3)*(5*o - 2)*(7*o + 2)/3
Let t = 721/4 - 179. Let d(k) = 2*k**2 - 27*k + 91. Let o be d(8). Factor 0 - a - t*a**2 - 1/4*a**o.
-a*(a + 1)*(a + 4)/4
Let s(b) = b**3 + 2*b + 5. Let a = 1 - 1. Let q be s(a). Solve -8*i**2 + 7*i + 0*i**2 + 3 - 7*i**2 + q*i = 0.
-1/5, 1
Let n(z) be the second derivative of z**4/36 + 986*z**3/9 + 486098*z**2/3 + 1146*z. Find o, given that n(o) = 0.
-986
Let x(d) be the second derivative of -d**7/2 - 32*d**6/5 - 15*d**5 + 151*d**4/2 + 395*d**3/2 + 75*d**2 + 304*d + 1. Solve x(r) = 0 for r.
-5, -1, -1/7, 2
Let z be 11 - (-3*(-14)/((-462)/(-143)) - 5). Find m such that 16/15*m**4 + 4/15*m**2 + 8/3*m**z - 4/3 - 2/15*m**5 - 38/15*m = 0.
-1, 1, 10
Let y = 83254 - 83250. Factor -176/13*f**3 + 32/13*f**y - 288/13*f + 0 - 2/13*f**5 + 384/13*f**2.
-2*f*(f - 6)**2*(f - 2)**2/13
Suppose -50 = 6*n - 2. Let f be ((-4)/(-7))/(n + 472/56). Factor 4/3*k - 8/3*k**2 - f*k**3 + 8/3.
-4*(k - 1)*(k + 1)*(k + 2)/3
Solve 44/5*t + 2/5*t**2 - 816/5 = 0.
-34, 12
Let j(h) be the second derivative of h**5/10 - h**4/2 - 10*h**3/3 + 24*h**2 - 10*h + 38. Factor j(u).
2*(u - 4)*(u - 2)*(u + 3)
Let q be (91/26)/(5 + (-58)/12). Let h be (-9)/q + 20/35. What is x in h*x**4 + 0 + 3/7*x**3 - 1/7*x**2 - 1/7*x**5 - 2/7*x = 0?
-1, 0, 1, 2
Let o(z) = 13*z**3 + 13*z**2 + 45*z + 69. Let t(r) = 37*r**3 + 39*r**2 + 136*r + 206. Let d(s) = -17*o(s) + 6*t(s). Find v such that d(v) = 0.
-7, -3
Factor -2/9*h**2 + 1576/9*h + 526/3.
-2*(h - 789)*(h + 1)/9
Find b such that 5877/8*b - 3/8*b**2 - 2937/4 = 0.
1, 1958
Factor 213*h - 344*h - 2062*h - 1095 - 1101*h**2 + 1514*h**3 - 1517*h**3.
-3*(h + 1)**2*(h + 365)
Let f = 359886/19 + -3958708/209. Let -f*t**3 - 1450/11*t - 104/11*t**2 - 2500/11 = 0. Calculate t.
-25, -2
Let n(x) be the second derivative of x**6/360 - 7*x**4/72 - x**3/3 - 20*x**2 - 8*x + 2. Let f(h) be the first derivative of n(h). Factor f(o).
(o - 3)*(o + 1)*(o + 2)/3
Factor -2/7*t**2 - 32/7 - 34/7*t.
-2*(t + 1)*(t + 16)/7
Determine w, given that 4/3*w**4 - 8/9 + 16/9*w**3 - 2*w - 4/9*w**2 + 2/9*w**5 = 0.
-4, -1, 1
Let c(t) be the second derivative of t**6/240 - 9*t**5/40 - 57*t**4/32 + 223*t**3/24 - 15*t**2 + 624*t + 4. Find f, given that c(f) = 0.
-6, 1, 40
Find k, given that -144/7 - 12/7*k**2 + 9/7*k**3 + 1/7*k**4 - 124/7*k = 0.
-9, -2, 4
Let f(w) = -4*w**2 + 14*w - 5. Let y be f(1). Suppose 4*q - 10 = -5*g, -y*g = -5*q - 2*g - 6. Factor -n**2 + q + n + 1/4*n**4 - 1/4*n**3.
n*(n - 2)*(n - 1)*(n + 2)/4
Let d(l) be the second derivative of l**4/36 + 8*l**3/9 - 17*l**2/6 - 1049*l - 1. Let d(x) = 0. What is x?
-17, 1
Solve 122*v**3 - 37*v**3 - 15*v**2 - 41*v**3 - 39*v**3 = 0 for v.
0, 3
Let o(j) be the first derivative of 0*j + 2/3*j**3 + 207 + 3*j**2. Determine v, given that o(v) = 0.
-3, 0
Factor -2235*i - 3307949/5*i**3 + 25 + 66603*i**2.
-(149*i - 5)**3/5
Let a(b) be the first derivative of 153 + 0*b + 3/4*b**4 - 1/6*b**6 + b**2 - 5/3*b**3 + 1/5*b**5. Suppose a(s) = 0. Calculate s.
-2, 0, 1
Let x(u) be the second derivative of -1/30*u**4 + 2/5*u**3 - 26*u + 0*u**2 + 2. Find m, given that x(m) = 0.
0, 6
Suppose -1546294*y**4 + 90*y**5 + 1545909*y**4 + 290*y**5 + 5*y**3 = 0. Calculate y.
0, 1/76, 1
Let l(r) be the second derivative of 5/27*r**3 + 1/270*r**6 + 1/6*r**2 + 5*r - 4 + 1/30*r**5 + 1/9*r**4. Factor l(k).
(k + 1)**3*(k + 3)/9
Let s be -1 - (0 + -1)*(-5 + 9 + -1). Let g(c) be the second derivative of 1/34*c**5 - 1/51*c**4 + 0 + 0*c**3 + 0*c**s - 14*c. Solve g(o) = 0.
0, 2/5
Let c = -3651/788 + 962/197. Factor 0 + c*i**4 + 5/4*i**2 - i**3 - 1/2*i.
i*(i - 2)*(i - 1)**2/4
Let d be (-33)/22*8/(-30). Let z be 7 + (-2 - (-138)/(-30)). Solve z*r + d*r**2 - 4/5 = 0 for r.
-2, 1
Let z = -33/14 - -17/7. Let s(h) be the second derivative of 0*h**3 + 16*h + z*h**2 + 0*h**5 + 1/210*h**6 - 1/42*h**4 + 0. Let s(i) = 0. What is i?
-1, 1
Let k(s) be the first derivative of 4*s**3/7 + 236*s**2/7 + 1308*s/7 + 7405. Factor k(a).
4*(a + 3)*(3*a + 109)/7
Factor 536/13*v**3 + 35378/13 + 36444/13*v**2 + 2/13*v**4 + 71288/13*v.
2*(v + 1)**2*(v + 133)**2/13
Let v be (-76 + 2)*(-37)/1369. Suppose -9/2 - 33*n**v - 21/2*n**4 + 27*n**3 + 39/2*n + 3/2*n**5 = 0. Calculate n.
1, 3
Let z = 19/3 + -35/6. Let n(f) = -170*f + 1024. Let d be n(6). Factor c**2 - z*c**d + 1/2*c**3 + 0 + 0*c.
-c**2*(c - 2)*(c + 1)/2
Let d be (-15)/2 - 5340/(-712). Let v(b) be the third derivative of 11*b**2 + 0*b**4 + 0 + d*b - 1/24*b**5 - 11/96*b**6 + 0*b**3. Factor v(g).
-5*g**2*(11*g + 2)/4
Let y be (-16 + -11)/(263 - 398). Factor -10 + 24/5*p**2 - y*p**3 + 27/5*p.
-(p - 25)*(p - 1)*(p + 2)/5
Suppose -4*m + 3*w + 42 - 51 = 0, 0 = 4*m + 4*w - 40. Let j(x) be the third derivative of -1/80*x**5 + 2*x**2 - 9/8*x**3 + m + 0*x - 3/16*x**4. Factor j(q).
-3*(q + 3)**2/4
Let z(m) be the first derivative of m**5/180 - 13*m**4/108 + 11*m**3/27 - 68*m + 43. Let k(a) be the first derivative of z(a). Factor k(y).
y*(y - 11)*(y - 2)/9
Let o be (-3)/(-8)*((-33)/77)/((-10340)/2065 - -5). Let 15/8*v**3 - o*v**2 + 129/8*v + 33/8 = 0. What is v?
-1/5, 1, 11
Let i be 180/(-140)*42/(-9) + 4/(-4). Suppose 4 = h + 1. Suppose 5*m**h - 4*m - 5 - m - 2*m**4 - 5*m**5 + i*m**3 - 3*m**4 + 10*m**2 = 0. What is m?
-1, 1
Let z(w) be the third derivative of -w**5/30 - 287*w**4/6 - 82369*w**3/3 - 200*w**2 - 2. Factor z(d).
-2*(d + 287)**2
Let n(b) be the third derivative of b**7/70 + 7*b**6/40 - b**5/10 - 15*b**4/2 - 36*b**3 - 12583*b**2. Factor n(v).
3*(v - 3)*(v + 2)**2*(v + 6)
Suppose 140/3*r + 0 + 698/15*r**2 - 2/15*r**3 = 0. What is r?
-1, 0, 350
Let w be (9/((-189)/(-28)))/(2/3). Let j(y) be the third derivative of -15*y**w + 0*y + 2/3*y**4 - 1/15*y**5 + 0 - 8/3*y**3. Factor j(c).
-4*(c - 2)**2
Factor -237*r**2 + 131*r**2 + 3084 + 1040*r + 110*r**2.
4*(r + 3)*(r + 257)
Suppose -7*f + 10 = -4. Suppose -2*h + f = -4. Factor -6*u**2 + 2*u**3 + 4*u**h - 3*u - 5*u**3 - 4*u**3.
-3*u*(u + 1)**2
Let s(i) be the third derivative of -1/240*i**5 - 3*i + 0 + 2*i**2 + i**3 - 5/48*i**4. Factor s(o).
-(o - 2)*(o + 12)/4
Let c be (-5*(-3 - -12)/9)/((-10)/4). Factor 0 - 15/7*a**3 + 18/7*a**c + 0*a - 3/7*a**4.
-3*a**2*(a - 1)*(a + 6)/7
Let c(w) = 2*w**2 - 36*w + 66. Let y be c(16). Suppose 36*i**2 - 6*i - i**2 - 2 + 4*i**3 - 19*i**2 - 20*i**y - 3*i**4 + 9*i**4 + 2*i**5 = 0. Calculate i.
-1, 1
Let h(r) be the first derivative of -5*r**3/3 - 55*r**2/2 + 210*r - 1521. Solve h(a) = 0 for a.
-14, 3
Let r(i) be the second derivative of -2*i**6/105 - 72*i**5/5 - 62488*i**4/21 + 24384*i**3 - 516128*i**2/7 - 3382*i. Factor r(l).
-4*(l - 2)**2*(l + 254)**2/7
Let n = 737 - 735. Let s = 7 - -9. Suppose s - 2*q**2 - 24 + 3*q**n + 12*q - 5*q**2 = 0. What is q?
1, 2
Let h be 1/(-2) - 24/(-48). Suppose 18*t - 37*t + 76 = h. Let 0*v - 3/5*v**5 + 3/5*v**3 + 0*v**t + 0 + 0*v**2 = 0. Calculate v.
-1, 0, 1
Let m = 85812/7 + -12293. Let j = m - -35. Factor 2/7*h**2 - j*h - 8/7.
2*(h - 4)*(h + 1)/7
Let q be (16/(-66))/(16380/(-495) - -32). Determine b, given that 0 - 1/9*b - 1/9*b**3 + q*b**2 = 0.
0, 1
Let d(a) = 15*a**3 + 110*a**2 - 660*a + 730. Suppose -78 = 6*x - 138. Let o(t) = 5*t**3 + 37*t**2 - 220*t + 243. Let v(h) = x*o(h) - 3*d(h). Factor v(l).
5*(l - 2)**2*(l + 12)
Let s(y) be the first derivative of -50/3*y - 32/9*y**3 - 264 + 1/4*y**4 + 95/6*y**2. Factor s(g).
(g - 5)**2*(3*g - 2)/3
Solve -64/7 + 51/7*p**4 + 288/7*p - p**5 - 212/7*p**2 - 8*p**3 = 0.
-2, 2/7, 1, 4
Let c(x) = -34*x - 13. Let q be c(-7). Factor -b**2 - q - 45*b + 48*b + 27*b.
-(b - 15)**2
Let s(g) be the first derivative of g**6/27 + 2*g**5/5 - 89*g**4/18 - 334*g**3/9 + 2680*g**2/9 - 1400*g/3 - 307. What is w in s(w) = 0?
-10, 1, 3, 7
Let o(c) = c**5 + c**3 - c**2 + 4. Let b(k) = -8*k**5 + 8*k**4 - 64*k**3 - 92*k**2 + 144*k + 240. Let i(w) = b(w) + 12*o(w). Determine j, given that i(j) = 0.
-3, -2, 2, 3
Factor -1/8*b**3 - 65/8*b + 0 - 9/4*b**2.
-b*(b + 5)*(b + 13)/8
Suppose 88/19*k**2 + 2/19*k**4 - 2816/19*k + 6144/19 + 50/19*k**3 = 0. What is k?
-16, 3, 4
Let l(j) be the third deriv