ctor f(s).
-2*(s + 22)*(3*s + 2)
Let g(y) be the first derivative of 3/8*y**4 + 1/4*y**3 - 6 + 0*y**2 + 0*y. Suppose g(m) = 0. What is m?
-1/2, 0
Let p be ((-24)/21)/(36/(-14))*3. Factor -2*v - 2/3*v**2 - p.
-2*(v + 1)*(v + 2)/3
Solve 1/9*v**3 - 7/9 - v**2 + 5/3*v = 0.
1, 7
Solve 0*i - 3/2*i**5 + 3/2*i**4 + 3/2*i**3 - 3/2*i**2 + 0 = 0.
-1, 0, 1
Suppose 5*k = -z - 2*z - 29, -z = -3*k - 9. Let g(l) = -l**2 - 2*l + 10. Let s be g(k). Let -2*n**3 - 3*n - n**3 - 8*n**s + n**2 + n**2 = 0. What is n?
-1, 0
Suppose 14*s = i + 13*s - 8, 0 = 5*s + 20. Let 6/5 + 27/5*t**2 + 33/5*t - 81/5*t**3 - 81/5*t**i = 0. Calculate t.
-1, -1/3, 2/3
Let c(u) be the second derivative of -u**6/21 - u**5/35 + 5*u**4/42 + 2*u**3/21 - 2*u - 14. Suppose c(i) = 0. Calculate i.
-1, -2/5, 0, 1
Factor -8*f**2 + 7*f + 100 - 92 - 3*f - 4*f**3.
-4*(f - 1)*(f + 1)*(f + 2)
Let b be (-1 + 5 + -2)/((-18)/(-63)). Suppose 5*k - 4*k - 24 = 0. Find c, given that -5*c - c**2 - 3*c**3 + 3*c + b*c**2 - k + 14*c = 0.
-2, 2
Let m(c) be the third derivative of c**8/336 + c**7/35 + c**6/24 + 5*c**2 - 7. Factor m(j).
j**3*(j + 1)*(j + 5)
Let q(h) = 2*h**3 + 16*h**2 + 35*h + 66. Let c be q(-6). Factor 3/5*k + c + 3/5*k**2.
3*k*(k + 1)/5
Let m(v) be the third derivative of v**10/30240 + v**9/12096 - 2*v**5/15 + 11*v**2. Let j(f) be the third derivative of m(f). Factor j(z).
5*z**3*(z + 1)
Let q(l) be the second derivative of l**4/16 + 25*l**3/8 - 39*l**2/4 - 2*l + 60. Find c, given that q(c) = 0.
-26, 1
Let z(m) = m**4 + m**3 + m**2 + m - 1. Let p(n) = -n**4 + 3*n**3 - 3*n**2 - 7*n + 2. Let d(f) = -5*p(f) - 10*z(f). Determine b, given that d(b) = 0.
-5, -1, 0, 1
Let y(q) be the first derivative of q**3/24 - q**2 + 193. Factor y(j).
j*(j - 16)/8
Let u(p) = -p**3 + 9*p**2 - 6*p - 10. Let j be u(8). Suppose 2*f - j*f = 0. Factor 0*x + 2/7*x**2 + f.
2*x**2/7
Let l(p) be the first derivative of -1/15*p**3 + 1/5*p**2 + 3/5*p - 46. Factor l(g).
-(g - 3)*(g + 1)/5
Let u(z) be the first derivative of -z**5/20 + 13*z**4/16 - 41*z**3/12 + 47*z**2/8 - 9*z/2 - 874. Factor u(c).
-(c - 9)*(c - 2)*(c - 1)**2/4
Let c(t) = -2*t**2 + 14*t - 19. Let q be c(4). Suppose -73 + 4*k + 75 - q*k - k**2 = 0. Calculate k.
-2, 1
Let q be 4/(24/(-9))*-2. Suppose -6 = 9*w - 24. Factor -q*t**2 + 2*t - w*t + 0*t**2.
-3*t**2
Factor -126*q + 85*q + 5*q**2 + q + 765 - 230*q.
5*(q - 51)*(q - 3)
Let k(o) be the second derivative of 2/21*o**3 + 0*o**2 + 11*o + 0 - 1/35*o**5 + 1/21*o**4 - 2/105*o**6. Find q, given that k(q) = 0.
-1, 0, 1
Solve -12/5*j**2 + 6/5*j**3 + 0*j - 6/5*j**5 + 9/5*j**4 + 3/5 = 0 for j.
-1, -1/2, 1
Let r(f) be the second derivative of 1/66*f**3 + 0 + 1/66*f**4 + 17*f + 1/220*f**5 + 0*f**2. Determine z so that r(z) = 0.
-1, 0
Factor 16/3*o**2 - 5/3*o**4 + 1/6*o**5 - 64/3*o + 4*o**3 + 0.
o*(o - 4)**3*(o + 2)/6
Let k be (-4)/64*-4*12. Let i(r) be the second derivative of 1/30*r**5 + 1/6*r**2 + 0 - 6*r + 0*r**4 - 1/90*r**6 - 1/9*r**k. Let i(g) = 0. What is g?
-1, 1
Let v = -1014 - -1014. Let d(g) be the third derivative of 3*g**2 + 1/30*g**5 + 0*g + v + 0*g**3 + 1/6*g**4. Determine i, given that d(i) = 0.
-2, 0
Let t(l) be the second derivative of l**6/2 - l**5/4 - 25*l**4/12 + 5*l**3/6 + 5*l**2 + 102*l. Factor t(o).
5*(o - 1)**2*(o + 1)*(3*o + 2)
Let c = 9726 + -9723. Factor 1/6*f**2 - 1/2*f + 1/2*f**c - 1/3 + 1/6*f**4.
(f - 1)*(f + 1)**2*(f + 2)/6
What is c in -2/5*c**3 - 6/5*c**2 - 162/5 + 18*c = 0?
-9, 3
Let w(x) be the first derivative of 3*x**5/10 - x**4/2 - x**3/3 + x**2 - x/2 - 78. Suppose w(u) = 0. What is u?
-1, 1/3, 1
Suppose 83*q = 151*q - 136. What is g in 2*g**3 + 4/3 + 2*g - 16/3*g**q = 0?
-1/3, 1, 2
Let o be ((-2)/6)/((-22)/(-297)*-9). Factor x + o*x**2 - 4.
(x - 2)*(x + 4)/2
Factor 16*p**4 - 400*p**5 + 191*p**5 + 203*p**5 + 6*p**3.
-2*p**3*(p - 3)*(3*p + 1)
Find r, given that -191 + 139 - r**3 - 28*r - 77*r - 54*r**2 = 0.
-52, -1
Suppose -7*d + 32 = 9*d. Let c(g) be the second derivative of 0*g**d - 1/54*g**4 + 0 + 1/135*g**6 - 1/90*g**5 - 2*g + 1/27*g**3. Suppose c(q) = 0. What is q?
-1, 0, 1
Let r be (-45)/25*1/(-24). Let h(n) be the second derivative of 3/4*n**2 - r*n**5 + 1/4*n**3 + 7*n - 1/8*n**4 + 0. Suppose h(s) = 0. What is s?
-1, 1
Let m(q) be the first derivative of 49*q**6/9 + 364*q**5/45 - 275*q**4/18 - 20*q**3/3 + 28*q**2/9 + 16*q/9 - 28. Suppose m(l) = 0. Calculate l.
-2, -2/7, 1/3, 1
Let t(r) be the second derivative of 5*r**4/72 + 5*r**3/36 - 5*r**2/6 + 18*r + 2. Find n, given that t(n) = 0.
-2, 1
Let w be (10/(-50))/((-2)/8). Factor 49/5*h**2 + 28/5*h + w.
(7*h + 2)**2/5
Suppose 56/5 + 6/5*b**2 - 2/5*b**3 + 48/5*b = 0. Calculate b.
-2, 7
Let a be 9/(-12) - (-65)/(-20). Let x be (-12)/a*-1 + 0 + 7. Determine s so that -3/2*s**3 - 3/2*s**2 - 1/2*s - 1/2*s**x + 0 = 0.
-1, 0
Suppose 24 + 20*a - 24 - 35 + 4*a**2 - 21 = 0. What is a?
-7, 2
Let b(c) be the second derivative of c**7/4 - 4*c**6/5 + 33*c**5/40 - c**4/4 - 8*c - 2. Let b(x) = 0. Calculate x.
0, 2/7, 1
Let t(g) be the second derivative of -g**9/25200 + g**8/5600 + g**7/1050 - g**6/150 - 11*g**4/12 - 4*g. Let k(q) be the third derivative of t(q). Factor k(r).
-3*r*(r - 2)**2*(r + 2)/5
Let a = 1 + 1. Let v = 1 - -1. Factor 6*i**2 - v*i**2 - 3*i**3 - 4*i**a + 6*i**2.
-3*i**2*(i - 2)
Solve 12*a**2 + 2*a**2 - 23*a**2 - 3*a**3 = 0 for a.
-3, 0
Let i = -1258 - -8809/7. Factor 3/7*h + i*h**2 + 0.
3*h*(h + 1)/7
Let r(x) be the first derivative of -1/90*x**6 + 6 - 8*x + 0*x**2 + 1/30*x**5 + 0*x**3 + 0*x**4. Let d(z) be the first derivative of r(z). Factor d(a).
-a**3*(a - 2)/3
Suppose -3*f - 3*u = 6, f - 37 + 9 = 5*u. Factor -3*w**3 + 3*w**4 + f*w**2 - 5*w**3 + 3*w**3 - w**3.
3*w**2*(w - 1)**2
Let k(q) be the first derivative of -q**4/4 + 3*q**3 + 21*q**2/2 + 11*q - 1076. Factor k(x).
-(x - 11)*(x + 1)**2
Let c(s) = -26*s**2 + 6*s - 16. Let i(f) = 6*f**2 - 2*f + 4. Let p(x) = -2*c(x) - 9*i(x). Suppose p(o) = 0. What is o?
1, 2
Let r(v) be the first derivative of 2*v**3 + 5 + 0*v**2 + 0*v + 0*v**4 + 1/180*v**6 - 1/30*v**5. Let u(s) be the third derivative of r(s). Factor u(k).
2*k*(k - 2)
Let o(g) be the third derivative of g**5/270 - g**4/27 + g**3/9 - 162*g**2. Let o(j) = 0. Calculate j.
1, 3
Let 3*o**2 + 31 - 64 - 127 - 5 - 55*o - 107*o = 0. What is o?
-1, 55
Let m(h) be the third derivative of 0 + 0*h - 1/16*h**4 - 2*h**2 + 1/40*h**5 + 0*h**3. Determine a so that m(a) = 0.
0, 1
Let j(f) = 7*f**2 - 31*f - 122. Let y be j(7). Let -2/11*h**3 - 1/11*h**y + 2/11*h + 1/11 + 0*h**2 = 0. Calculate h.
-1, 1
Let k(p) be the second derivative of p**7/5040 + p**6/1440 - p**5/120 + p**4/4 + 10*p. Let n(r) be the third derivative of k(r). Determine h so that n(h) = 0.
-2, 1
Let s = 12822 + -64108/5. Factor s*o**2 + 0 + 6/5*o.
2*o*(o + 3)/5
Let g be 7 + 0 - 765/119. Find b, given that 0*b + 16/7*b**2 - 12/7*b**4 - g - 8/7*b**3 + 8/7*b**5 = 0.
-1, -1/2, 1
Let u(z) = -10*z - 48. Let v be u(-5). Determine k so that 0*k - 3/4*k**3 + 0 + 3/4*k**v = 0.
0, 1
Let f = -3401/4 - -851. Factor -3/4*o + 1/2*o**2 + 1/4*o**5 - f*o**4 + 1/4 + 1/2*o**3.
(o - 1)**4*(o + 1)/4
Let q(y) = y + 59. Let p(k) = -k - 29. Let d(m) = 11*p(m) + 6*q(m). Let n be d(7). Factor 2/3*z**2 + n + 0*z.
2*z**2/3
Let c(u) be the first derivative of -17 - 5/2*u**4 + 0*u + u**5 + 5/3*u**3 + 0*u**2. Factor c(j).
5*j**2*(j - 1)**2
Let b be 9 + -13 - 1*-7. Let d(t) be the second derivative of 4*t + t**2 + 1/2*t**b + 1/12*t**4 + 0. Suppose d(h) = 0. Calculate h.
-2, -1
Let j = -16 - -20. Let o(q) = -21*q**3 + 29*q**2 - 19*q + 3. Let x(a) = -a**4 - a**2. Let k(s) = j*x(s) - o(s). Let k(z) = 0. What is z?
1/4, 1, 3
Let l(p) be the third derivative of p**5/60 - 23*p**4/12 + 529*p**3/6 + 75*p**2. What is u in l(u) = 0?
23
Let p(y) = -y**2 + 2*y + 18. Let d be p(5). Let u be (4/(-18))/(1*(2 - d)). Factor 0 - u*r**3 + 10/9*r**2 + 0*r.
-2*r**2*(r - 5)/9
Let d = 754 - 751. Let w be ((-3)/4)/((-18)/12). Factor 0*a + 0 + 1/6*a**5 - w*a**4 + 1/2*a**d - 1/6*a**2.
a**2*(a - 1)**3/6
Let a(d) be the second derivative of d**6/360 + d**5/40 + d**4/12 - d**3 - 5*d. Let z(o) be the second derivative of a(o). Factor z(g).
(g + 1)*(g + 2)
Let m(w) be the second derivative of -w**5/20 - w**4/2 + 273*w. Let m(b) = 0. What is b?
-6, 0
Let w(d) = -44*d**4 - 45*d**3 + 11*d**2 - 6*d + 6. Let p(j) = 87*j**4 + 90*j**3 - 23