93*m**2.
-4*m*(m - 23)*(m - 1)
Let d(a) be the first derivative of a**5/80 - a**4/12 + 5*a**3/24 - a**2/4 + 30*a - 18. Let i(o) be the first derivative of d(o). Find g such that i(g) = 0.
1, 2
Let u be ((-20)/6)/((-2376)/162). Let i(g) be the first derivative of 4/11*g**2 - 4/11*g**3 + 16/11*g - 9 - u*g**4 - 2/55*g**5. Factor i(j).
-2*(j - 1)*(j + 2)**3/11
Let s(p) be the first derivative of -20/3*p**3 + 0*p - 25*p**4 - 23*p**5 + 16 - 35/6*p**6 + 0*p**2. Find j such that s(j) = 0.
-2, -1, -2/7, 0
Let t(c) be the third derivative of c**6/120 - c**5/10 - 7*c**4/24 + 139*c**2. Solve t(n) = 0 for n.
-1, 0, 7
Let a(m) be the first derivative of 0*m - 3/5*m**2 + 3/20*m**4 + 15 - 1/5*m**3. Let a(c) = 0. Calculate c.
-1, 0, 2
Suppose -r - v + 21 = 0, -5*v = -0*v. Let c be (1 + 0)/(7/r). Solve 0 + 1/3*a**2 + 0*a**c + 0*a - 1/3*a**4 = 0.
-1, 0, 1
Solve 30894/5*w**2 + 11616/5 - 1341/5*w**3 + 3*w**4 - 41184/5*w = 0 for w.
2/5, 1, 44
Let m(s) = -10*s**2 + 124*s - 2174. Let i(c) = 8*c**2 - 126*c + 2175. Let g(b) = -4*i(b) - 3*m(b). Solve g(z) = 0.
33
Let -20/3*c**4 + 0 + 20/3*c**2 + 1/3*c**5 - 100/3*c + 33*c**3 = 0. What is c?
-1, 0, 1, 10
Let h(f) be the third derivative of 0*f - 2/3*f**3 - 1/45*f**6 - 1/9*f**4 + 0 + 7/45*f**5 + 5*f**2. Determine d, given that h(d) = 0.
-1/2, 1, 3
Let b(y) be the third derivative of y**8/840 + y**7/420 - y**6/90 + 13*y**3/6 - 9*y**2. Let z(o) be the first derivative of b(o). Determine p so that z(p) = 0.
-2, 0, 1
Let w be 1*68/(-1785)*(-14)/4. Factor -2/15 - w*x**2 + 4/15*x.
-2*(x - 1)**2/15
Let u = 64 + -54. Suppose 3*q**3 + q**3 - u*q**3 + 12*q**2 + 2*q**3 = 0. What is q?
0, 3
Let x(k) be the third derivative of 0 + 0*k + 1/210*k**5 - 11/42*k**4 + 121/21*k**3 - 21*k**2. Factor x(j).
2*(j - 11)**2/7
Let v(l) = -31*l - 4586. Let r be v(-148). What is y in -2*y**r + 1/3*y**3 - 4/3 + 3*y = 0?
1, 4
Let q = 2221/2 + -1110. Factor 0*r + q*r**2 + 0 + 1/2*r**3.
r**2*(r + 1)/2
Suppose 0 = f - 1, f + 4*f + 1 = v. Suppose 0 = -4*w + a + 9, 7*a - 7 = -4*w + v*a. Factor -5*d**w - d**2 + 0*d + d**2 - 5*d.
-5*d*(d + 1)
Let u be (-3)/((-108)/(-8))*(2 + -11). Determine h so that -3/5*h - 2/5 - 1/5*h**u = 0.
-2, -1
Let u be ((-18)/(-15))/(54/180). Suppose -4*a + 6 = 5*z, 4*z - 5*a + 2*a - 11 = 0. Let 0 + 2/7*m**z + 2/7*m + 6/7*m**u - 10/7*m**3 = 0. Calculate m.
-1/3, 0, 1
Let a(n) be the second derivative of -n**7/84 + n**5/10 + n + 4. Factor a(p).
-p**3*(p - 2)*(p + 2)/2
Let s(x) be the second derivative of -x**4/36 - x**3/3 - 96*x. Factor s(t).
-t*(t + 6)/3
Let b(i) be the first derivative of i**5/25 - 2*i**4/5 + i**3 + 25. Let b(d) = 0. What is d?
0, 3, 5
Let s(t) be the second derivative of -t**4/54 - 44*t**3/27 - 484*t**2/9 - 82*t + 2. Factor s(h).
-2*(h + 22)**2/9
Let t(n) = 3*n**2 + 11*n + 22. Let p(j) = -8*j**2 - 23*j - 44. Let d(i) = 2*p(i) + 5*t(i). Factor d(w).
-(w - 11)*(w + 2)
Let f be ((-8)/(-7))/((-8)/(-28)). Suppose -3*d**4 + d**f + 51*d**2 - 49*d**2 = 0. What is d?
-1, 0, 1
Let l = -2/51 - -55/102. Let c(a) be the first derivative of -1/9*a**3 + l*a**2 + 1 - 2/3*a. Determine v, given that c(v) = 0.
1, 2
Let i(f) be the second derivative of -f**5/12 - 35*f**4/9 + 145*f**3/18 - f - 111. Factor i(v).
-5*v*(v - 1)*(v + 29)/3
Let z(b) be the third derivative of 0*b**6 + 0 - 1/420*b**7 + 1/120*b**5 - 6*b**2 + 0*b**4 + 0*b + 0*b**3. Factor z(s).
-s**2*(s - 1)*(s + 1)/2
Suppose -5*v - 8 = -4*d + 4, -5*d - 5*v + 15 = 0. Factor -1/8*n**4 + 1/2 - 3/8*n**2 - 1/2*n + 1/2*n**d.
-(n - 2)**2*(n - 1)*(n + 1)/8
Suppose 62*r + 31 = 155. Solve -1/3*q + 2/3 - 1/3*q**r = 0.
-2, 1
Find o such that -8/11 - 6/11*o**3 - 16/11*o**2 + 30/11*o = 0.
-4, 1/3, 1
Let u(o) be the third derivative of -1/90*o**6 + 0*o - 5*o**2 - 1/6*o**4 - 1/15*o**5 + 0 - 2/9*o**3. Suppose u(k) = 0. What is k?
-1
Let c(q) be the first derivative of -1/16*q**4 - 6 - 15/8*q**2 - 9/4*q - 7/12*q**3. Factor c(p).
-(p + 1)*(p + 3)**2/4
Let q(p) = -2*p + 15. Let d(v) = -3*v + 30. Let o(b) = 6*d(b) - 14*q(b). Let f be o(3). Factor 0*s**2 + f*s + 0 + 1/7*s**4 + 0*s**3.
s**4/7
Let j(q) be the first derivative of -2*q**6/3 + 52*q**5/15 - 10*q**4/3 - 40*q**3/9 + 26*q**2/3 - 4*q - 74. Find i, given that j(i) = 0.
-1, 1/3, 1, 3
Let z be 95/114 - 2/8*3. Let f(u) be the second derivative of 1/12*u**2 + z*u**3 + 1/24*u**4 + 7*u + 0 + 1/120*u**5. Find w, given that f(w) = 0.
-1
Suppose -5*o - 4*d = -30, 0 = -2*o - 0*d - 5*d + 29. Let 4 + 5*s - 203*s**2 + 202*s**o - 6 - 2*s = 0. What is s?
1, 2
Let b(l) = 245*l**2 + 3500*l + 950. Let t(w) = 35*w**2 + 500*w + 136. Let n(d) = -2*b(d) + 15*t(d). Factor n(m).
5*(m + 14)*(7*m + 2)
Determine p, given that -22*p - 17*p**4 + 24*p**4 - 24*p**2 - 108*p**2 - 18*p**3 - 50*p**3 + 35*p**2 = 0.
-1, -2/7, 0, 11
Let a(r) = 6*r**2 - 33*r + 36. Let m(u) = -5*u**2 + 29*u - 36. Let b(v) = 6*a(v) + 7*m(v). Factor b(f).
(f - 4)*(f + 9)
Suppose 2*c + 2*h + 0 - 16 = 0, -2*c - 3*h + 20 = 0. Suppose 38/17*s**3 + 32/17*s + 50/17*s**2 + 8/17 + 14/17*s**c + 2/17*s**5 = 0. Calculate s.
-2, -1
Let c(i) be the first derivative of -2*i**3/21 - 18*i**2/7 - 64*i/7 - 118. Find k such that c(k) = 0.
-16, -2
Let j(z) = -3*z**3 + 423*z**2 - 5507*z + 1347. Let r(n) = 4*n**3 - 635*n**2 + 8260*n - 2020. Let y(g) = 8*j(g) + 5*r(g). Factor y(q).
-(q - 26)**2*(4*q - 1)
Factor 16/3 + 2/3*b**2 - 6*b.
2*(b - 8)*(b - 1)/3
Let f(y) be the third derivative of 0 - 1/896*y**8 - 9/16*y**4 - 1/40*y**7 - 21/40*y**5 + 0*y + 0*y**3 + 16*y**2 - 61/320*y**6. Factor f(w).
-3*w*(w + 1)**2*(w + 6)**2/8
Let k = 63968/53315 + 2/10663. Factor -4/5*f**2 + 4/5 + k*f.
-2*(f - 2)*(2*f + 1)/5
Let r(s) = -3*s + 17. Let y be r(5). Let v(p) = 9*p**3 - 9*p**2 - 2. Let l(j) = j**3 - j - 1. Let u(o) = y*v(o) - 4*l(o). Solve u(w) = 0 for w.
0, 2/7, 1
Suppose x - 10 = 6. Let h be ((-2)/x*-54)/(6 + -3). Solve 1/2 + h*m**2 + 11/4*m = 0 for m.
-1, -2/9
Suppose 0 = 6*x - 3829 - 1373. Suppose 3*v**2 + 433*v + 434*v - x*v - 12 = 0. What is v?
-2, 2
Let s = 207 + -413/2. Let v(j) be the second derivative of -3/8*j**4 + 7/12*j**3 + 5*j + 0 + s*j**2. Let v(n) = 0. What is n?
-2/9, 1
Let w be 96/9 + (-1)/(-3). Let z be -3 - (3 + w/(-1)). Factor -2*t**3 - t + t**3 - 3*t**3 + z*t**3.
t*(t - 1)*(t + 1)
Let z = 24 + -29. Let b = z - -7. Solve 0 + 1/3*p**b + 1/3*p = 0.
-1, 0
Let u(g) be the second derivative of -g**7/14 + 4*g**6/5 - 27*g**5/10 + 4*g**4 - 5*g**3/2 + 202*g. Factor u(m).
-3*m*(m - 5)*(m - 1)**3
Let q(s) be the third derivative of s**5/80 + 5*s**4/16 - 190*s**2 + 2*s. What is u in q(u) = 0?
-10, 0
Suppose -n + 6 = 5*l, 115 - 21 = 3*n - 4*l. Solve n*s**2 + 10*s**2 + s**5 - 5*s**3 + 2*s**5 - 9*s**4 - 24*s - s**3 = 0.
-2, 0, 1, 2
Let q(k) = 40*k**2 + 97*k + 15. Let t(l) = 23*l**2 + 48*l + 7. Let w(g) = -3*q(g) + 5*t(g). Factor w(i).
-(i + 10)*(5*i + 1)
Let j = 2/1953 + 59/13020. Let v(u) be the second derivative of 0*u**2 - 1/40*u**5 + j*u**6 + 1/9*u**3 - 7*u + 0*u**4 + 0. Factor v(g).
g*(g - 2)**2*(g + 1)/6
Let f(y) be the third derivative of -y**6/30 + 29*y**5/15 - 14*y**4/3 - 6*y**2 - 12. Factor f(w).
-4*w*(w - 28)*(w - 1)
Let g(h) = -12*h**2 + 76*h - 188. Let t(s) = -2*s**2 + 1. Let c(q) = -g(q) + 4*t(q). Determine k so that c(k) = 0.
3, 16
Let v(y) be the third derivative of -3*y**6/40 + 5*y**5/4 - 7*y**4 + 8*y**3 + 74*y**2. Factor v(i).
-3*(i - 4)**2*(3*i - 1)
Suppose -c + 2*c = -2. Let t = c - -5. Factor -6/5*v**2 + 0 + 3/5*v + 3/5*v**t.
3*v*(v - 1)**2/5
Let l(d) be the third derivative of d**5/60 + 13*d**4/24 - 2*d**3 + 26*d**2. Let z be l(-14). Solve -2/5*g + 2/5*g**z + 0 = 0 for g.
0, 1
Let j be ((-16)/(-42))/((180/105)/6). Factor 4/3 + 0*g - j*g**2.
-4*(g - 1)*(g + 1)/3
Let z(o) be the first derivative of -o**5/20 + 15*o**4/16 - 67*o**3/12 + 93*o**2/8 - 10*o - 27. Factor z(h).
-(h - 8)*(h - 5)*(h - 1)**2/4
Let u(l) = -7*l**3 - 8*l**2 + 7*l + 5. Let m(n) = n**3 - n + 1. Let r be 12/(-162)*3 - 25/9. Let c(z) = r*m(z) - u(z). Let c(s) = 0. What is s?
-2, -1, 1
Let g(f) be the third derivative of f**5/540 + 95*f**4/108 + 9025*f**3/54 - 3*f**2 - f. Factor g(u).
(u + 95)**2/9
Suppose -r = 4*r - 10. Suppose r*l = 3*l. Factor w**4 - 1 - w**3 + 5*w - 3*w**2 + 0*w**3 - 1 + l*w**4.
(w - 1)**3*(w + 2)
Suppose -5*s + 29 - 94 = 0. Let w = -11 - s. Solve 0 - 1/4*l**4 - 1/4*l - 3/4*l**3 - 3/4*l**w = 0.
-1, 0
Let z(k) be the th