 - 5*v**4/8 - 61*v**2/2 - 94. Let m(z) be the second derivative of u(z). Determine t so that m(t) = 0.
0, 5
Determine c so that 250/7*c**2 - 88/7*c**3 - 6/7*c**4 + 204/7*c + 0 = 0.
-17, -2/3, 0, 3
Let w = -313 - -421. Let u be 8 - 19/(266/w). Solve u*g**2 - 6/7*g + 4/7 = 0 for g.
1, 2
Suppose 38 + 16 - 18 = 12*o. Let h(y) be the second derivative of 0 - 3*y**2 - 1/6*y**o + 1/12*y**4 + 19*y. Factor h(m).
(m - 3)*(m + 2)
Let x(g) be the first derivative of 3*g**5/10 - 99*g**4/8 + 15*g**3 + 48*g**2 - 1103. Factor x(q).
3*q*(q - 32)*(q - 2)*(q + 1)/2
Let t(r) = -430*r + 8605. Let s be t(20). Determine y, given that -16/3*y**4 + 52/3*y**2 - 26/3*y**3 + 128/3*y + 64/3 - 2/3*y**s = 0.
-4, -1, 2
Suppose -12*u - 2 = u - 2. Let y(q) be the third derivative of u - 2/39*q**4 - 16/39*q**3 + 17*q**2 - 1/390*q**5 + 0*q. Solve y(v) = 0.
-4
Let m be (-6)/(-7)*((-20)/570 + ((-990)/19)/(-22)). Suppose -3/5*k**m - 1/2*k**3 + 0 + 0*k - 1/10*k**4 = 0. Calculate k.
-3, -2, 0
Let l = 46327/54047 - 1/54047. Let s be 2 + (0 - -2 - 0). Suppose -4/7*b**3 - 2/7*b**5 - 18/7 + s*b**2 + l*b - 10/7*b**4 = 0. Calculate b.
-3, -1, 1
Let l be (-22)/(-12)*816/(-4488)*-9. Factor 5/6*m**l + 1/2*m - 8/3*m**2 + 0.
m*(m - 3)*(5*m - 1)/6
Let p(i) be the second derivative of 188*i + 0 + 8/15*i**2 + 7/45*i**3 - 1/90*i**4. Factor p(o).
-2*(o - 8)*(o + 1)/15
Let d = 87202 - 610404/7. Factor 0 + 2/7*g**3 - d*g**2 + 8/7*g.
2*g*(g - 4)*(g - 1)/7
Let a(x) = -46*x**2 + 1948*x + 468512. Let u(g) = -238*g**2 + 9742*g + 2342560. Let m(l) = 31*a(l) - 6*u(l). Find r such that m(r) = 0.
-484
Let q(h) be the first derivative of 202/21*h**3 + 34/7*h**2 - 19 - 1/21*h**6 + 99/14*h**4 + 62/35*h**5 + 0*h. Factor q(j).
-2*j*(j - 34)*(j + 1)**3/7
Let o = -7351 + 44107/6. Let f(t) be the second derivative of 0 - o*t**3 + 0*t**2 - 7*t + 1/20*t**5 - 1/12*t**4 + 1/30*t**6. Factor f(l).
l*(l - 1)*(l + 1)**2
Let q be 175/7 + -2 + -5. Suppose 4*l = -l - m + q, 5*m - 15 = 0. Let -4/3 + n**2 + 1/3*n**4 - 11/3*n**l + n**5 + 8/3*n = 0. Calculate n.
-2, -1, 2/3, 1
Suppose -5*l = 15*c - 16*c + 2, -4*l + 44 = 3*c. Factor 2/5*m**l - 8/5 - 6/5*m.
2*(m - 4)*(m + 1)/5
Let q(s) be the third derivative of s**7/525 - s**6/100 - s**5/50 + 7*s**4/60 + 2*s**3/5 + 1362*s**2. Suppose q(p) = 0. What is p?
-1, 2, 3
Let b = 119224/73025 - -62/3175. Factor -14/23*q**4 - 8/23 - b*q**3 - 50/23*q**2 - 32/23*q - 2/23*q**5.
-2*(q + 1)**3*(q + 2)**2/23
Factor 0*r - 2*r**3 - 1/4*r**5 - 3/2*r**4 + 0 + 0*r**2.
-r**3*(r + 2)*(r + 4)/4
Let t(q) be the second derivative of -3/20*q**5 - 1/2*q**4 + q + 7/2*q**3 - 75 - 6*q**2. Find r such that t(r) = 0.
-4, 1
Suppose 29*w - 98*w = -0*w + 94*w. Find n, given that 4/9*n**4 + 1/9*n**5 + 1/9*n**3 + 0 - 2/3*n**2 + w*n = 0.
-3, -2, 0, 1
Let c be (535/1498 + 6/(-28))/((-3)/(-24)). Factor -1 - 1/7*i**2 + c*i.
-(i - 7)*(i - 1)/7
Find d, given that -1/5*d**2 + 16/5*d + 17/5 = 0.
-1, 17
Let z(b) be the third derivative of b**6/120 - 23*b**5/60 + 10*b**4/3 - 38*b**3/3 - 939*b**2. Factor z(j).
(j - 19)*(j - 2)**2
Let s(l) be the second derivative of l**6/45 + 83*l**5/30 + 328*l**4/3 + 9500*l**3/9 - 11552*l**2/3 + 3084*l. Suppose s(m) = 0. What is m?
-38, -8, 1
Suppose -2/3*s**4 + 18*s**2 - 484 - 1430/3*s + 10*s**3 = 0. What is s?
-6, -1, 11
Let 17*a**2 + 242*a**2 + 99 - 249*a**2 + 19*a**2 + 129*a - a**3 = 0. Calculate a.
-3, -1, 33
Let k(c) = 10*c**2 + 5*c + 3. Let l be k(-1). Suppose -l*h = -4*h - 108. Factor 38*w + h + 20*w + 9 + 6*w**2.
2*(w + 9)*(3*w + 2)
Let u be (4/(-44)*11/(-9))/((-10)/(-48)). Solve -22/15*x + 2/15*x**3 - u*x**2 - 4/5 = 0 for x.
-1, 6
Let r(u) = 2*u**4 + 10*u**3 - 12*u**2 - 8*u + 8. Let l(d) = 7*d**4 + 30*d**3 - 37*d**2 - 26*d + 26. Let i(k) = -4*l(k) + 13*r(k). Factor i(b).
-2*b**2*(b - 4)*(b - 1)
Let n(d) be the first derivative of d**4/4 - 128*d**3/3 - 391*d**2/2 - 262*d + 2528. Factor n(h).
(h - 131)*(h + 1)*(h + 2)
Suppose 5*v - 2*i = 15, -5*i = 3*v - 3 - 6. Let w be (((-18)/8)/((-6)/24))/v. Factor -1/5 - 7/5*o + 16/5*o**w - 8/5*o**2.
(o - 1)*(4*o + 1)**2/5
Let v(f) = f - 20. Let i(g) = -4*g**2 - 1168*g + 1848. Let l(a) = i(a) - 28*v(a). Determine p so that l(p) = 0.
-301, 2
Let d(q) be the third derivative of 1/32*q**6 + 1/420*q**7 - 3/4*q**3 + 5/32*q**4 + 17/120*q**5 + 0*q + 3 - 7*q**2. Determine o, given that d(o) = 0.
-3, -2, 1/2
Let i be (796/(-4776))/((-1)/18). Solve 2*j**2 - 1/2*j - j**4 - 1 + j**i - 1/2*j**5 = 0 for j.
-2, -1, 1
Let p be (-1320)/220 + (-44)/(-6). Let p*x + 2/3 + 2/3*x**2 = 0. What is x?
-1
Let r(y) be the second derivative of 0*y**2 - 9/2*y**6 - 40/3*y**4 + 57/4*y**5 - 5*y - 10*y**3 + 1 + 10/21*y**7. Suppose r(g) = 0. What is g?
-1/4, 0, 2, 3
Let s(l) be the third derivative of 0 - 1/20*l**6 + 134*l**2 + 0*l - 7/80*l**5 - 1/4*l**3 + 17/32*l**4. Suppose s(b) = 0. Calculate b.
-2, 1/8, 1
Let l(y) be the second derivative of -y**8/15120 + y**7/945 - 2*y**6/405 + y**4/12 + y**3/6 + 3*y + 5. Let n(x) be the third derivative of l(x). Factor n(o).
-4*o*(o - 4)*(o - 2)/9
Let l(f) be the second derivative of -f**7/14 + 94*f**6/25 + 672*f**5/25 + 292*f**4/5 + 168*f**3/5 + 4*f - 6. What is k in l(k) = 0?
-2, -2/5, 0, 42
Let r be (-32)/10*7713/(-41136). Solve -16/5*n**4 - 48/5*n**3 + r*n + 0 + 1/5*n**2 = 0.
-3, -1/4, 0, 1/4
Let y(v) be the second derivative of v**5/30 - v**4/12 + 31*v**2/2 + 73*v. Let m(f) be the first derivative of y(f). Determine d so that m(d) = 0.
0, 1
Let l(v) be the third derivative of 0*v**3 + 2/5*v**5 + 13/12*v**4 - 1/60*v**6 + 0 + 0*v + 42*v**2. Determine f, given that l(f) = 0.
-1, 0, 13
Let l(r) = -r**3 + 12*r**2 - 21*r - 5. Let q be l(6). Suppose q - 99 = -7*x. Let -81/2*t**x - 50 - 90*t = 0. Calculate t.
-10/9
Let b(x) be the second derivative of -x**5/120 + x**4/8 + 5*x**3/18 + 1099*x. Find c such that b(c) = 0.
-1, 0, 10
Suppose -2*x + 38 = 36. Suppose 10*d = 21 - x. Factor 6*u**4 - u - 10*u**2 + 20*u**4 - 7*u**2 + 15*u**5 - 6*u**3 - 7*u**d + 6.
(u + 1)**3*(3*u - 2)*(5*u - 3)
Factor 18/5*i + 0 - 8/5*i**4 - 12*i**2 - 46/5*i**3.
-2*i*(i + 3)**2*(4*i - 1)/5
Let q be -11*(0 + -17 + 9). Let k be 5/2*q/110. Determine v so that 3/2 + 2*v + 1/2*v**k = 0.
-3, -1
Let l(x) = 10*x**2 - 35*x - 15. Let t be l(-11). Factor 3*i**2 + 2*i**2 + 1585*i**3 - t*i**3.
5*i**2*(i + 1)
Let o(b) be the first derivative of b**9/210 + b**8/350 + b**7/2100 - 38*b**3/3 + 94. Let k(r) be the third derivative of o(r). Factor k(l).
2*l**3*(6*l + 1)**2/5
Let m = -8408806/31533 + 2/10511. Let c = m - -267. Let 2/3*s**4 + 0 + 0*s + c*s**5 - 2*s**2 - 5/3*s**3 = 0. What is s?
-3, -1, 0, 2
Let j(u) = u**2 + 11. Let k be j(4). Suppose -20*t - k = -21*t. Let 250 + 780*d**2 + 582*d + 3*d**5 + t*d**4 + 193*d + 23*d**4 + 302*d**3 = 0. Calculate d.
-5, -1, -2/3
Let y = -7 + 11. Let u(t) be the second derivative of -3*t**3/2 + 6*t**2 + 3*t. Let x(h) = h**2 + h. Let c(p) = y*u(p) + 4*x(p). Factor c(f).
4*(f - 6)*(f - 2)
Let f = -97 - -169. Let u be 50/63 - 16/f. Solve 1/7*y**2 - 5/7 + u*y = 0.
-5, 1
Let s be -47794*24/231 - 126/(-693). Let b = 4974 + s. Factor 0*y + 6/7*y**2 + 0 - b*y**4 + 9/7*y**3.
-3*y**2*(4*y + 1)*(5*y - 2)/7
Let m = -312474 - -312477. Suppose 207/5*i + 351/5 + 21/5*i**2 - 3/5*i**m = 0. What is i?
-3, 13
Let r be (-2219406)/(-2310) + 1*9/(-15). Let d = -960 + r. Factor -28/11*s - 98/11 - d*s**2.
-2*(s + 7)**2/11
Factor 0 + 63/5*w**2 - 1/5*w**3 + 0*w.
-w**2*(w - 63)/5
Let 2/7*r**2 + 1430/7 - 1432/7*r = 0. Calculate r.
1, 715
Let r(k) be the first derivative of k**6/240 - 3*k**5/40 - k**4 + k**3/3 - 11*k**2 - 49. Let a(w) be the third derivative of r(w). Factor a(s).
3*(s - 8)*(s + 2)/2
Let d be (-40)/(-35) + 2850/(-5985). Factor -d*n**2 + 1/6*n + 1/2*n**3 + 0.
n*(n - 1)*(3*n - 1)/6
Let o(c) be the first derivative of -64/9*c**2 + 50 - 7/9*c**4 - 116/27*c**3 - 16/9*c. Solve o(x) = 0 for x.
-2, -1/7
Let m(a) be the third derivative of -a**5/60 - 23*a**4/24 - 10*a**3 - 17*a**2 - 40*a. Factor m(y).
-(y + 3)*(y + 20)
Let w be 100/(-15)*3/2 - -2. Let h = 8 + w. Factor 4*f**4 + 16 + 9*f**2 + 43*f**2 + h*f**4 - 24*f**3 - 48*f.
4*(f - 2)**2*(f - 1)**2
Suppose 25*o**4 + 69*o**4 - 13*o**4 - 2451*o**3 - o**5 + 33695*o**2 - 203136*o + 438012 = 0. Calculate o.
6, 23
Let i(m) = -3*m - 77. Let s be i(-27). Suppose 0 = -0*d + s*d + 5*k - 20, -5*d - 2*k = -8. Factor -1/3*a**4 + 1/3*a