*3/3 + 2*i + 110. Let r(y) be the third derivative of m(y). Factor r(t).
-3*t*(t - 40)*(3*t + 1)/2
Let x(z) be the third derivative of z**8/112 - 29*z**7/35 + 33*z**6/8 + 2*z**2 - 133. Determine j so that x(j) = 0.
0, 3, 55
Let b(n) be the first derivative of 1/4*n**4 - 9/2*n**2 - 2*n**3 + 14*n + 37. Factor b(d).
(d - 7)*(d - 1)*(d + 2)
Suppose -3*l + 95 = 5*x, l + 116 = 5*l - 4*x. Let w be 120/(5/l*9). Let 72*b**3 + 4*b**5 + 44*b + 28*b**4 - 9*b - 3*b + w*b**2 = 0. What is b?
-2, -1, 0
Let l(w) = 10*w**2 - 173*w + 3. Let b(o) = 0 - 12 - 6*o**2 + 4 - 8*o**2 + 174*o + 4. Let m(a) = -3*b(a) - 4*l(a). Determine r, given that m(r) = 0.
-85, 0
Let 16/3*d + 0 - 776/9*d**5 + 3098/3*d**3 + 2516/9*d**2 + 2840/3*d**4 = 0. Calculate d.
-1/2, -2/97, 0, 12
Let n(x) be the first derivative of 2/3*x**3 + x**2 - 4*x + 30. Suppose n(m) = 0. Calculate m.
-2, 1
Let c be (1080/99 - 11)/((-48)/88). Let j(v) be the first derivative of c*v**3 - 16 - 1/2*v + 0*v**2. Determine n, given that j(n) = 0.
-1, 1
Let b(q) = 31*q - 13. Let c be b(3). Let -c*a**4 + 43*a**2 + 32*a**2 + 7 - 10*a - 120*a**3 - 7 = 0. Calculate a.
-2, 0, 1/4
Let d(b) be the second derivative of -b**7/560 - 9*b**6/320 + 61*b**2/2 + 9*b. Let w(i) be the first derivative of d(i). Determine g so that w(g) = 0.
-9, 0
Let j(z) be the second derivative of z**8/13440 - z**7/105 + 8*z**6/15 - 256*z**5/15 - 7*z**4/4 + 17*z. Let v(p) be the third derivative of j(p). Factor v(n).
(n - 16)**3/2
Suppose 488 = 113*k + 131*k. Let d(r) be the third derivative of -27*r**k + 507/100*r**5 + 13/10*r**4 + 0*r + 0 + 2/15*r**3. Factor d(u).
(39*u + 2)**2/5
Factor 2178/5*w**2 + 95664294/5 - 2/5*w**3 - 790614/5*w.
-2*(w - 363)**3/5
Let d(r) be the first derivative of 2*r**3/21 - 338*r**2/7 + 3330*r/7 - 1197. Let d(l) = 0. Calculate l.
5, 333
Let j(g) be the second derivative of -g**4/6 - 362*g**3/3 - 361*g**2 + 971*g. Let j(s) = 0. Calculate s.
-361, -1
Let a(b) = b**3 + 18*b**2 + 58*b + 33. Let d be a(-14). Factor -x**d + 53*x**2 - 16*x + 41*x + 2*x**4 - 2*x + 17*x**3 - 3*x**4 + 20 + 33*x.
-(x - 5)*(x + 1)**2*(x + 2)**2
Let s = -188 + 191. Find z, given that 6*z**3 - 35*z - 5*z**3 - 14*z**2 + 10 + 34*z**s + 4*z**2 = 0.
-1, 2/7, 1
Let m(c) be the third derivative of -c**7/490 + 3*c**6/70 - 9*c**5/28 + 25*c**4/28 - 15*c**2 - 21*c. Factor m(t).
-3*t*(t - 5)**2*(t - 2)/7
Let r(k) = -8*k**3 + 913*k**2 + 1750*k - 504. Let o(j) = -9*j**2 - 2*j. Let x(h) = -18*o(h) + 2*r(h). Factor x(z).
-4*(z - 126)*(z + 2)*(4*z - 1)
Let k(o) be the third derivative of o**8/840 - 4*o**7/525 + o**6/300 + 7*o**5/75 - o**4/3 + 8*o**3/15 - 1505*o**2. Suppose k(d) = 0. What is d?
-2, 1, 2
Suppose 72*c**3 + 141*c**2 - 35*c - 28*c - 69*c**2 - 126 - 12*c + 3*c**5 - 48*c**4 + 102*c**2 = 0. What is c?
-1, 1, 3, 14
Suppose 0 = 17*q + 89976 - 90010. Factor 0 - 64/3*x + 0*x**q - 2/3*x**4 + 4*x**3.
-2*x*(x - 4)**2*(x + 2)/3
Find a such that 133*a + 57*a**3 + 3*a**4 + 388435*a**2 + 33*a + 239*a - 102*a - 388204*a**2 + 126 = 0.
-14, -3, -1
Let j be (-3 + 0)/9 + (-128)/(-6). Suppose -3*a = -6*a + j. Determine m, given that -4*m + a*m + 16*m**3 - 17*m**3 - 2*m**2 = 0.
-3, 0, 1
Let t be 12/(-3) - 42*(-4)/24. Let x(i) be the third derivative of -1/720*i**6 - 3*i**2 - 1/9*i**t + 0 + 0*i - 1/18*i**4 - 1/72*i**5. Factor x(r).
-(r + 1)*(r + 2)**2/6
Let y = 7/278 - 67/5421. Let d(a) be the third derivative of 0*a - 1/39*a**3 - y*a**4 - 1/390*a**5 + 0 - 8*a**2. Solve d(n) = 0 for n.
-1
Factor -22 + 2/19*r**4 - 1248/19*r**2 - 412/19*r**3 - 1252/19*r.
2*(r - 209)*(r + 1)**3/19
Let u(k) be the second derivative of k**4/3 - 116*k**3/3 - 118*k**2 + 2694*k. Factor u(j).
4*(j - 59)*(j + 1)
Let f be 38/57 - ((-32)/(-96))/((-3)/(-9)*3). Determine v, given that -13/3 + 25/3*v - 11/3*v**2 - f*v**3 = 0.
-13, 1
Let -2/3*s**2 - 758/3*s + 764 = 0. Calculate s.
-382, 3
Let n(g) be the third derivative of -19*g**2 + 1/18*g**4 - 11/3*g**3 + 2/45*g**5 + 0*g + 1/90*g**6 + 0. Let k(w) be the first derivative of n(w). Factor k(u).
4*(u + 1)*(3*u + 1)/3
Let o(i) be the second derivative of -2/21*i**7 + i - 2/3*i**3 + 2/5*i**5 + 0*i**6 + 0*i**2 + 0*i**4 - 20. Factor o(u).
-4*u*(u - 1)**2*(u + 1)**2
Let d(f) be the first derivative of 2*f**3 - 8/3*f - 21 - 16/3*f**2. Determine m so that d(m) = 0.
-2/9, 2
Suppose -29*b = -34*b + 255. Let g be 340/b*(-9)/(-12). Factor 2*s - 4/3*s**3 + 4/3*s**2 - 2*s**4 - 2/3*s**g + 2/3.
-2*(s - 1)*(s + 1)**4/3
Let x(q) be the first derivative of 14/5*q**5 - 4/3*q**3 - 11*q**2 + 19 - 10*q + 1/3*q**6 + 5*q**4. Determine g, given that x(g) = 0.
-5, -1, 1
Let j = 4383/4249 + 241/607. Let -50/7*b**4 + 0 + 32/7*b**2 - j*b**3 - 8/7*b = 0. What is b?
-1, 0, 2/5
Let k = -503/21 - -177/7. Suppose 0*m + 4/3*m**5 - 4*m**2 - 20/3*m**3 - k*m**4 + 0 = 0. What is m?
-1, 0, 3
Let y(f) be the second derivative of f**4/24 + 383*f**3/12 - 96*f**2 + 61*f - 2. Factor y(c).
(c - 1)*(c + 384)/2
Let q be (1393/(-504))/(2/(-3)). Let a = q + -13/16. Factor 0 - 5/3*m**2 + a*m.
-5*m*(m - 2)/3
Let u(y) be the first derivative of y**5/5 + 31*y**4/4 + 101*y**3 + 949*y**2/2 + 676*y + 2374. Factor u(m).
(m + 1)*(m + 4)*(m + 13)**2
Suppose -4*w = -n - 18, 10*w + n + 8 = 12*w. Let i(c) be the third derivative of 0 + 0*c**3 - 1/12*c**4 + 13*c**2 + 0*c + 1/30*c**w. Find f such that i(f) = 0.
0, 1
Suppose 133*h = 272*h - 132*h - 14. Let c(g) be the second derivative of 1/8*g**h + 0 - 21*g - 5/48*g**4 + 1/24*g**3 + 3/80*g**5. Suppose c(t) = 0. What is t?
-1/3, 1
Suppose -16*k - 10 = -17*k. Solve 17 - 20*x**2 + 6*x**3 + k - 15 + 2*x = 0.
-2/3, 1, 3
Let j = -137 - -139. Factor 4*k - 87*k**2 + 4 + 163*k**2 - 75*k**j.
(k + 2)**2
Let x(m) = 18*m**3 - 1806*m**2 + 14312*m - 27936. Let k(t) = -2*t**3 + 201*t**2 - 1590*t + 3104. Let r(w) = 28*k(w) + 3*x(w). Factor r(d).
-2*(d - 97)*(d - 4)**2
Factor -2*y**2 - 4*y**2 - 17903 + 170*y + 2*y**2 + 17503.
-2*(y - 40)*(2*y - 5)
Let q(w) be the first derivative of -29*w**6/18 + 176*w**5/15 - 91*w**4/4 + 2*w**3 + 144. Factor q(f).
-f**2*(f - 3)**2*(29*f - 2)/3
Let v be (3 - 2)*-2*(-18)/36. Let o(n) = 9*n**4 - 21*n**3 - 51*n**2 - 51*n - 12. Let a(u) = -2*u**4 - 1. Let s(z) = v*o(z) + 6*a(z). Solve s(l) = 0 for l.
-3, -2, -1
Let v be 45/75*(-4 - (3 + -2)). Let b be ((-44)/6 - -4) + (1 - v). Factor 8/9*u**3 - 8/9*u + 2/9*u**4 + b*u**2 - 8/9.
2*(u - 1)*(u + 1)*(u + 2)**2/9
Find r such that 0 - 5/2*r**5 + 30*r**4 + 0*r + 0*r**2 - 55/2*r**3 = 0.
0, 1, 11
Suppose 48*v + 20 = 53*v. Let r(u) = 3*u**2 + 5*u - 10. Let l(x) = 3*x**2 + 7*x - 11. Let b(s) = v*l(s) - 5*r(s). Solve b(p) = 0 for p.
-1, 2
Factor -10*w - w**2 + 22*w + 31*w - 17*w - 105.
-(w - 21)*(w - 5)
Let x(u) be the second derivative of u**8/2800 + u**7/1400 - u**6/300 - 7*u**3/3 - u**2 - u - 55. Let c(d) be the second derivative of x(d). Factor c(b).
3*b**2*(b - 1)*(b + 2)/5
Let v(g) be the first derivative of g**3/9 + 27*g**2/2 - 82*g/3 - 527. Suppose v(l) = 0. Calculate l.
-82, 1
Suppose 0 = -2*h - 5*w - 29, -1 = 2*h + w - 0. Let a(x) be the first derivative of 1/35*x**5 + h + 1/21*x**3 + 3/28*x**4 - 3/14*x**2 - 2/7*x. Factor a(l).
(l - 1)*(l + 1)**2*(l + 2)/7
Let l be ((-5940)/(-187))/15 - (-2)/(-17). Solve -5/2 - 55/4*o - 5*o**3 - 65/4*o**l = 0.
-2, -1, -1/4
Let k(o) be the first derivative of -3/4*o**2 - 11 + 0*o - 1/6*o**3. Suppose k(w) = 0. Calculate w.
-3, 0
Let f = -35723 - -35725. Factor -1/2*x**f + 4 + x.
-(x - 4)*(x + 2)/2
Let v(a) be the third derivative of -a**6/2700 - a**5/75 - a**4/5 - 25*a**3/6 + 7*a**2. Let g(n) be the first derivative of v(n). Solve g(s) = 0 for s.
-6
Let p(k) be the first derivative of -k**3/21 - 419*k**2/7 - 175561*k/7 - 941. What is y in p(y) = 0?
-419
Let n be 49/10 - (-3)/30. Determine x, given that 145 + 38*x**2 - 295*x + 110*x**2 + 7*x**2 + 0*x**2 - n*x**3 = 0.
1, 29
Let k(b) be the first derivative of -b**5/30 + 167*b**4/24 - 163*b**3/3 + 485*b**2/3 - 644*b/3 - 1633. Factor k(s).
-(s - 161)*(s - 2)**3/6
Let y(d) be the third derivative of -5*d**8/336 + 17*d**7/7 + 26*d**6/3 - 5*d**2 + 65*d + 1. Determine x, given that y(x) = 0.
-2, 0, 104
Find c, given that -2*c - 7/3*c**2 + 0 + 0*c**3 + 1/3*c**4 = 0.
-2, -1, 0, 3
Let o(f) be the first derivative of f**6/180 - f**5/180 - 5*f**4/72 - f**3/9 - 5*f**2 + 86. Let b(p) be the second derivative of o(p). Factor b(v).
(v - 2)*(v 