 s(b) = 0.
-2, 2
Let y(n) be the second derivative of -n**6/50 + 21*n**5/100 - n**4/4 - 7*n**3/10 + 9*n**2/5 - 5*n - 2. Let y(t) = 0. Calculate t.
-1, 1, 6
Let j be (-4)/30 + (-2)/(-15). Let c(m) be the second derivative of -2/3*m**3 + j*m**2 - 9*m + 1/3*m**4 + 0. Determine u, given that c(u) = 0.
0, 1
Let s = 46 + -29. Factor 55*y**3 + 17*y**4 + 30*y + 85*y**2 + 15*y**4 - s*y**4 + 15*y**3.
5*y*(y + 1)*(y + 3)*(3*y + 2)
Suppose 9*l - 5*l = 3*y - 20, 0 = -l - 5. Factor y + 1/8*z**3 + 1/8*z**2 + 0*z.
z**2*(z + 1)/8
Let m(s) be the second derivative of -8*s**7/21 - 28*s**6/15 - 73*s**5/20 - 43*s**4/12 - 11*s**3/6 - s**2/2 - s + 5. Factor m(t).
-(t + 1)**3*(4*t + 1)**2
Let m(p) = 12*p**3 - 379*p**2 + 4356*p - 15972. Let f(q) = -4*q**3 + 126*q**2 - 1452*q + 5324. Let r(u) = -17*f(u) - 6*m(u). Factor r(v).
-4*(v - 11)**3
What is j in -97*j - 128*j + 93*j - 40 + 22*j**2 + 6*j**2 = 0?
-2/7, 5
Let q = 329/1348 + 2/337. Let x(t) = t**3 - 3*t**2 - 11*t + 7. Let h be x(5). Solve q*k**h + k + 1 = 0.
-2
Let n(u) = 8*u - 22. Let t be n(3). Let c(q) be the second derivative of 0*q**3 + 3/10*q**5 + 0*q**t - q + 1/10*q**6 + 0*q**4 + 0. Let c(a) = 0. Calculate a.
-2, 0
Let -26/7*w - 6/7 - 38/7*w**2 - 22/7*w**3 - 4/7*w**4 = 0. Calculate w.
-3, -1, -1/2
Let f(o) = 55*o**4 + 120*o**3 + 65*o**2 - 35. Let z(a) = 9*a**4 + 20*a**3 + 11*a**2 - 6. Let w(v) = 6*f(v) - 35*z(v). Solve w(y) = 0.
-1, -1/3, 0
Let x be ((-15)/40*-16)/(21/2). Factor 0*d + 0*d**2 + 6/7*d**5 + 0 - x*d**4 - 2/7*d**3.
2*d**3*(d - 1)*(3*d + 1)/7
Let x = 5366 + -5363. Factor 0 + 4/5*t**x - 3/5*t**4 + 0*t + 4/5*t**2.
-t**2*(t - 2)*(3*t + 2)/5
Let i be 325/(-130)*64/(-40). Determine x so that 0 + 1/2*x**3 + 1/4*x**2 - 1/4*x**i - 1/2*x = 0.
-1, 0, 1, 2
Let v(s) be the second derivative of s**7/84 - s**6/15 + 3*s**5/40 + s**4/6 - s**3/3 - 49*s. Factor v(w).
w*(w - 2)**2*(w - 1)*(w + 1)/2
Let d(j) be the second derivative of -j**4/18 + 32*j**3/3 + 97*j**2/3 - 460*j. Suppose d(h) = 0. Calculate h.
-1, 97
Let l be 12/150 - (-4)/1200. Let y(o) be the second derivative of -1/4*o**3 + 1/2*o**2 - 1/84*o**7 + 5*o + 0*o**6 - l*o**4 + 0 + 1/10*o**5. Factor y(z).
-(z - 1)**3*(z + 1)*(z + 2)/2
Find i such that -68*i**3 + 0 + 64/3*i - 56*i**2 + 28/3*i**4 = 0.
-1, 0, 2/7, 8
Let x(k) be the third derivative of 2*k**7/735 - k**6/21 - 11*k**5/105 + 2*k**2 - 1. Solve x(j) = 0 for j.
-1, 0, 11
Suppose 10*b - 4*b - 42 = 0. Let u(y) be the third derivative of 0 - b*y**2 + 1/15*y**3 + 0*y - 1/300*y**5 - 1/120*y**4. Factor u(x).
-(x - 1)*(x + 2)/5
Let b(d) = 73*d**2 - 661*d + 36. Let w be b(9). Factor 3/5*q + w - 1/5*q**2.
-q*(q - 3)/5
Let b(m) = m - 2. Let k(l) = -3*l + 3. Let r(o) = 7*b(o) + 4*k(o). Let s be r(-1). Find d such that 66*d - 42*d + d**3 + 12*d**2 - 3*d**4 - 7*d**s = 0.
-2, 0, 2
Let k(f) be the second derivative of -f**4/20 - 79*f**3/10 + 24*f**2 - 312*f. Let k(o) = 0. What is o?
-80, 1
Let l(x) be the second derivative of -x**6/75 + 12*x**4/5 - 1296*x**2/5 - 102*x. Factor l(o).
-2*(o - 6)**2*(o + 6)**2/5
Let y(o) be the first derivative of -2/3*o**6 - 9 + 0*o**4 + 2*o**2 + 0*o - 8/5*o**5 + 8/3*o**3. Factor y(c).
-4*c*(c - 1)*(c + 1)**3
Suppose 450 + 2*c**2 - 64*c - 60*c + 184*c = 0. What is c?
-15
Let l(o) = 27*o**3 + 60*o**2 - 93*o + 3. Let g(f) = f**4 + 28*f**3 + 59*f**2 - 92*f + 2. Let w(z) = -3*g(z) + 2*l(z). Find y such that w(y) = 0.
-6, -5, 0, 1
Solve -6480*k + 1023*k**5 - 971*k**5 - 1440*k**5 - 10647*k**4 + 6264*k**2 + 9984*k**3 + 1296 - 5203*k**5 = 0.
-2, -1, 6/13
Let t be 12/(-21)*14/(-4). Determine g so that -g + t*g**2 + g + g + 13*g**3 - 12*g**3 = 0.
-1, 0
Let u = -78 + 78. Let 2*t**3 + u*t**2 - 2*t**4 - 3 + 936*t - 938*t + 6*t**2 - 1 = 0. What is t?
-1, 1, 2
Factor 81*y + 8*y**3 - 3*y**3 - 625 - 75*y**2 + 294*y.
5*(y - 5)**3
Let c(i) be the second derivative of 0 + 11*i + 0*i**2 + 2/21*i**3 + 1/21*i**4. Solve c(q) = 0 for q.
-1, 0
Let q(m) be the third derivative of -m**8/8064 + m**7/3024 + 7*m**4/12 - 12*m**2. Let s(h) be the second derivative of q(h). Let s(f) = 0. Calculate f.
0, 1
Let i(s) be the first derivative of -1/3*s**3 - 1/4*s**4 + 4 + 1/6*s**6 + 1/5*s**5 + 0*s**2 + 0*s. Factor i(p).
p**2*(p - 1)*(p + 1)**2
Let d(z) be the second derivative of -z**7/5040 - z**6/180 - z**5/15 + 5*z**4/3 - 4*z. Let y(p) be the third derivative of d(p). Factor y(f).
-(f + 4)**2/2
Let u(b) be the first derivative of -12*b**5/5 + 2*b**4 + 196*b**3/3 - 64*b**2 - 64*b + 486. Solve u(k) = 0 for k.
-4, -1/3, 1, 4
Let w = 13 - 13. Factor -6*x - 3*x**2 + 9*x**4 + 3*x**3 + w*x**3 + 3*x**5 - 6*x**2.
3*x*(x - 1)*(x + 1)**2*(x + 2)
Let g be 0*(2 - 7)/10 - -1. Let a be g - 2 - ((-77)/(-35) - 4). Factor 0 - a*h - 2/5*h**2.
-2*h*(h + 2)/5
Let l(g) be the third derivative of -g**6/1020 - 7*g**5/510 - 4*g**4/51 - 4*g**3/17 - 235*g**2. Find c such that l(c) = 0.
-3, -2
Let y = 12692 - 63458/5. Factor -y*c**3 - 64/5 - 4*c**2 - 64/5*c.
-2*(c + 2)*(c + 4)**2/5
Let c(l) be the third derivative of -8*l**6/105 - 16*l**5/21 + l**4/42 + 10*l**3/21 + 282*l**2. Determine y so that c(y) = 0.
-5, -1/4, 1/4
Let n = -793 - -801. Let l(c) be the first derivative of 8 + 2*c**2 + 8/3*c**3 - n*c - c**4. Suppose l(r) = 0. Calculate r.
-1, 1, 2
Suppose -4*x = -8*x + 4. Let u(p) = -p**4 + p**3 + p - 1. Let z(b) = 18*b**4 + 66*b**3 + 96*b**2 + 50*b + 10. Let l(y) = x*z(y) + 2*u(y). Factor l(d).
4*(d + 1)**2*(d + 2)*(4*d + 1)
Let w be (-18)/45*(-5)/8. Let j be (-24)/(-1120)*7 + 9/15. Suppose -j - w*b**2 + b = 0. What is b?
1, 3
Let b(q) be the first derivative of q**6/18 + 2*q**5/15 + q**4/12 + 87. Factor b(k).
k**3*(k + 1)**2/3
Factor -2/3*u**2 - 1/3*u + 2/3 + 1/3*u**3.
(u - 2)*(u - 1)*(u + 1)/3
Let g(k) be the first derivative of k**5/3 + 5*k**4/2 + 25*k**3/9 - 10*k**2 + 90. Factor g(d).
5*d*(d - 1)*(d + 3)*(d + 4)/3
Let -30 - 9*o**3 + 1/2*o**4 + 45/2*o**2 + 2*o = 0. Calculate o.
-1, 2, 15
Let c be (-6 + -2)/((-2 - 0) + 3). Let h be 0*(1 + 4/c). Factor -2/7*y**2 - 2/7*y**3 + 2/7*y**4 + 2/7*y + h.
2*y*(y - 1)**2*(y + 1)/7
Determine n, given that -25*n**4 - 59*n**3 - 26*n**3 - 17*n**4 - 45*n**2 - n**5 + 6*n**5 + 7*n**4 = 0.
-1, 0, 9
Let k(n) be the first derivative of n**3 - 1/4*n**4 - 1/5*n**5 + 20 + 1/2*n**2 - 2*n. Let k(z) = 0. What is z?
-2, -1, 1
Let c(f) be the third derivative of -f**5/270 - f**4/9 - 4*f**3/3 + 66*f**2. Factor c(g).
-2*(g + 6)**2/9
Let v be 0 + ((-94)/(-8) - 11). Let r(f) be the first derivative of 1/6*f**6 + 1/5*f**5 - 1/3*f**3 + 9 + f**2 - v*f**4 + 0*f. Determine z, given that r(z) = 0.
-2, -1, 0, 1
Let b = -2953/1680 + 37/21. Let g(d) be the second derivative of b*d**6 + 0 - 1/8*d**2 + 1/96*d**4 + 3/160*d**5 - 1/16*d**3 + 8*d. What is w in g(w) = 0?
-2, -1, 1
Let a(q) = q**3 - 2*q**2 - q + 3. Let c(n) = n**3 + 2*n**2 - n + 1. Let y(b) = b**3 + b**2 - b. Let p(s) = -c(s) + 2*y(s). Let o(v) = -a(v) - p(v). Factor o(z).
-2*(z - 1)**2*(z + 1)
Let o(u) = u**2 + 7*u + 3. Let g be o(-7). Let i(h) = h**2 - 2*h - 1. Let r be i(g). Factor -12/5*d - 18/5 - 2/5*d**r.
-2*(d + 3)**2/5
Let 22 + 14/3*x**2 - 2/3*x**3 + 82/3*x = 0. Calculate x.
-3, -1, 11
Suppose 32*f + 14 = 39*f. Let j(n) be the first derivative of -3*n**3 + 4 + 0*n**f + 0*n + 3/4*n**4. Let j(y) = 0. Calculate y.
0, 3
Let m be 3 + 22/(-6) - (-14)/21. Let t(w) be the first derivative of 3 + m*w**3 + w**4 + 0*w + 0*w**2 - 1/3*w**6 + 2/5*w**5. Factor t(h).
-2*h**3*(h - 2)*(h + 1)
Factor 76*o - 25*o**2 + 65*o + 5*o**3 - 15 - 106*o.
5*(o - 3)*(o - 1)**2
Let x be 2*1/(-3 + 4). Suppose -11 - 9 = -5*a. Factor -5*b + 4*b**a - 4*b**2 - x*b + 6*b - 4*b**3 + 5*b.
4*b*(b - 1)**2*(b + 1)
Let q(r) be the second derivative of r**4/12 - r**3/3 - 4*r**2 + 13*r. Let q(t) = 0. What is t?
-2, 4
Let p be (-2)/(-5) - ((-831)/60 - 10). What is i in 0 + 99*i**5 - i + 423/4*i**4 + p*i**3 - 3*i**2 = 0?
-2/3, -1/3, -1/4, 0, 2/11
Let d(h) be the first derivative of 4*h**3/15 + 6*h**2/5 - 8*h + 42. Factor d(j).
4*(j - 2)*(j + 5)/5
Let s = 57 + -45. Suppose 23*x - 22 = s*x. Find r such that 1/2*r - 1/2*r**3 + r**x - 1 = 0.
-1, 1, 2
Let g = -30529/7 - -4364. Factor 26/7*z**3 + g*z**4 + 5/7*z**5 + 2*z**2 - 1/7 + 1/7*z.
(z + 1)**4*(5*z - 1)/7
Let c(y) = y**3 - 47*y**2 - 208*y + 207. Let u be c(51). Let 22/3*o - 2/3*o**u - 4 - 8/3*o**2 = 0. What is o?
-6, 1
Let j(y) be the first derivative of -3*y**5