g**j - 3/2*g**2 - g + 0.
-g*(g + 1)*(g + 2)/2
Suppose 6*o = 4*o. Let i(b) be the second derivative of 0*b**2 + o + 4/21*b**3 + 6/7*b**4 + 4*b + 81/70*b**5. Factor i(c).
2*c*(9*c + 2)**2/7
Suppose 3*k - 22 = -13. Let b(c) be the third derivative of 1/735*c**7 + 0 + 0*c + 1/21*c**k - 1/105*c**5 + 4*c**2 + 0*c**6 + 0*c**4. Factor b(p).
2*(p - 1)**2*(p + 1)**2/7
Let b(d) be the second derivative of d**5/60 + d**4/36 - d**3/2 - 3*d**2/2 + 96*d - 2. Find l such that b(l) = 0.
-3, -1, 3
Let o(u) be the third derivative of -13*u**2 - 1/75*u**5 + 0*u**3 + 0*u**4 + 0*u + 1/60*u**6 - 4/525*u**7 + 0 + 1/840*u**8. Factor o(y).
2*y**2*(y - 2)*(y - 1)**2/5
Let m = -11/18 - -23/18. Factor -m - 2/3*r**2 - 4/3*r.
-2*(r + 1)**2/3
Let c(j) be the third derivative of j**5/60 - 11*j**4/24 + 5*j**3/3 + j**2 + 66*j. Determine v so that c(v) = 0.
1, 10
Let o = 41732 + -41730. Factor o*s**4 + s**2 + 0 + 0*s + 1/2*s**5 + 5/2*s**3.
s**2*(s + 1)**2*(s + 2)/2
Let r = 24787/148794 + 2/24799. Suppose -r*f**4 - 1/3*f**3 + 0*f**2 + 1/6 + 1/3*f = 0. Calculate f.
-1, 1
Let p(x) be the second derivative of -5/6*x**4 + 0*x**2 - 1/4*x**5 + 0*x**3 + 0 - 21*x. Solve p(z) = 0.
-2, 0
Let l be ((8/84)/1)/(((-75)/35)/(-5)). Solve -2/9*b + 0 + l*b**2 = 0 for b.
0, 1
Find x, given that 20/9*x**2 + 4 + 6*x + 2/9*x**3 = 0.
-6, -3, -1
Let f be ((-80)/60)/(4/(-3)). Let q(w) = 4*w - 2. Let r be q(f). Factor -3/2*b**3 + 0 - 3/2*b + 3*b**r.
-3*b*(b - 1)**2/2
Let c be (2/24)/((-2)/(-186)). Let i = -15 + 20. Factor c*l**2 + i*l + 1 + 15/4*l**3.
(l + 1)*(3*l + 2)*(5*l + 2)/4
Let p(k) be the third derivative of -1/63*k**7 - 2/45*k**6 - 1/90*k**5 + 1/18*k**4 - 2*k**2 + 0*k**3 + 0 + 0*k. Factor p(r).
-2*r*(r + 1)**2*(5*r - 2)/3
Factor -1/5*y**5 - 16/5*y + 0 - 24/5*y**2 - 1/5*y**3 + 6/5*y**4.
-y*(y - 4)**2*(y + 1)**2/5
Let r(q) = -18*q**2 - 20*q + 4. Let c(o) = 18*o**2 + 19*o - 4. Suppose 2*y = -12 + 2. Let b(v) = y*r(v) - 6*c(v). Solve b(a) = 0 for a.
-1, 2/9
Let 0 + 15*c**3 + 0*c - 50/3*c**2 + 1/3*c**5 - 4*c**4 = 0. What is c?
0, 2, 5
Suppose -6*f + 4*i = -3*f - 22, 2*f = -i. Let -39*p + 5*p**3 - 6*p**f + 13*p - 2*p**3 + 17*p = 0. Calculate p.
-1, 0, 3
Factor 2/5*s**3 - 24/5 + 10*s - 28/5*s**2.
2*(s - 12)*(s - 1)**2/5
Let k(m) be the third derivative of m**8/112 - m**7/35 - m**6/10 + 2*m**5/5 - 43*m**2. Determine g so that k(g) = 0.
-2, 0, 2
Let s(o) = o**2 - o - 9. Let u be s(4). Suppose 3*p - 2*f - 23 = 25, 2*f - 6 = 0. Factor -z**3 + p*z**2 + 4*z - 3*z**4 - 15*z**2 - u*z.
-z*(z - 1)*(z + 1)*(3*z + 1)
Determine t so that -2/11*t**2 + 68/11*t + 0 = 0.
0, 34
Let c(f) be the first derivative of 7*f**5/4 + 5*f**4 - 10*f**3/3 - 21*f + 4. Let o(k) be the first derivative of c(k). Let o(u) = 0. What is u?
-2, 0, 2/7
Find n such that -16*n + 2/9*n**2 + 288 = 0.
36
Let m(j) be the second derivative of -j**4/4 - j**3 + 45*j**2/2 + 2*j - 45. Factor m(c).
-3*(c - 3)*(c + 5)
Suppose 205*f = 100*f + 210. Factor -3*h**3 + 9/2 + 5*h**f + 1/2*h**5 - 3/2*h**4 + 21/2*h.
(h - 3)**2*(h + 1)**3/2
Let l(s) = -33*s + 69. Let z be l(2). Let j(m) be the second derivative of -m**z - 6*m + 0 - 2*m**2 - 1/6*m**4. Factor j(f).
-2*(f + 1)*(f + 2)
Let o(s) = -s - s + s**3 + 1 + 2*s + s. Let w(p) = -p**3 - 8*p**2 - 5*p + 1. Let y(r) = -o(r) + w(r). Factor y(g).
-2*g*(g + 1)*(g + 3)
Suppose 18*t - 127 + 91 = 0. Find n such that 0 - 8/5*n + 4/5*n**t = 0.
0, 2
Let c(b) = b**2 - 12*b + 13. Let a be c(11). Suppose -7 + 18*y**2 + 2*y**a + 7 + 10 + 5*y**3 + 25*y = 0. What is y?
-2, -1
Let h = -2165 - -2173. Let t(m) be the first derivative of 0*m - 2/27*m**3 - h - 1/9*m**2. Solve t(n) = 0 for n.
-1, 0
Let -177*m**2 + 288*m**2 + 186*m**3 + 9*m**4 + 257*m + 910*m**2 + 363*m + 100 = 0. Calculate m.
-10, -1/3
Let d(s) be the third derivative of -s**7/168 + s**6/32 + 23*s**5/48 + 55*s**4/32 + 35*s**3/12 - 66*s**2 - 6*s. Determine i so that d(i) = 0.
-2, -1, 7
Let d(m) = m**2 - m + 1. Let s(x) = 3*x**2 - 25*x - 34. Let q(l) = 4*d(l) - s(l). Factor q(p).
(p + 2)*(p + 19)
Let x be (24/(-9))/(4/(-18)). Suppose 0 = 2*a + a - x. Factor 0*n**2 + 3*n - n**2 + 4*n - 5*n + n**a - 2*n**3.
n*(n - 2)*(n - 1)*(n + 1)
Let w(i) be the third derivative of -i**8/1512 + 22*i**7/945 + 47*i**6/540 + 4*i**5/45 - 162*i**2. Solve w(b) = 0.
-1, 0, 24
Let v = 60 + -57. Suppose 0*g - 9 = -v*g + 3*r, 0 = g + r - 1. Find f such that 4/11 - 2/11*f**g - 6/11*f + 6/11*f**3 - 2/11*f**4 = 0.
-1, 1, 2
Suppose -14 = -5*n + 31. Suppose 5*l = 2*l + n. Factor -11 + 7*s**2 + 4*s + 0 + 5*s**2 - 1 - 4*s**l.
-4*(s - 3)*(s - 1)*(s + 1)
Factor 1/3*y**3 + 49/3*y - 26/3*y**2 - 8.
(y - 24)*(y - 1)**2/3
Let p(w) be the third derivative of -1/150*w**5 + 0 - 11/30*w**4 - 121/15*w**3 - 19*w**2 + 0*w. Let p(b) = 0. What is b?
-11
Factor -2*k**5 - 52*k**2 - 20*k**4 + 3 + 77 + 67*k - 62*k**3 - k - 10*k.
-2*(k - 1)*(k + 2)**3*(k + 5)
Let b(j) = 15*j**2 + 3286*j + 178183. Let x(p) = 5*p**2 + 1096*p + 59393. Let s(u) = -3*b(u) + 8*x(u). Determine r, given that s(r) = 0.
-109
Factor 0 - 2/7*m**2 + 6/7*m.
-2*m*(m - 3)/7
Let c(w) be the first derivative of 2*w**5/5 + w**4 - 8*w**3 + 14*w**2 - 10*w + 833. Suppose c(y) = 0. Calculate y.
-5, 1
Let o(y) be the second derivative of 1/135*y**6 - 1/27*y**4 + 0 - 18*y + 0*y**5 + 1/9*y**2 + 0*y**3. Solve o(n) = 0.
-1, 1
Let f(l) be the second derivative of l**5/9 - 41*l**4/9 + 40*l**3/3 + 184*l**2/9 - 2*l + 3. Determine p so that f(p) = 0.
-2/5, 2, 23
Let a(l) = 8 - 4*l**2 + 2*l**2 + 3*l**2 - 3*l - 3*l. Let j be a(6). Let 3*x**4 + 0*x**2 + j*x**5 - 3*x**2 - 15*x**3 - 5*x**5 - 12 + 24*x = 0. Calculate x.
-2, 1
Suppose 4*t + 5*g - 21 = 0, t + 26 = -0*t + 5*g. Let j = 6 - t. Factor 0 + 7*s - 4 + 9*s - j*s**2.
-(s - 2)*(7*s - 2)
Let c be (-170)/51 + (-219)/(-63). Solve 8/7*i**3 - c*i**4 - 24/7*i**2 + 32/7*i - 16/7 = 0 for i.
2
Factor 36/11 - 14/11*i - 2/11*i**2.
-2*(i - 2)*(i + 9)/11
Let l(t) be the third derivative of 1/12*t**5 - 9*t**2 + 0 + 0*t + 1/24*t**6 - 5/12*t**4 + 0*t**3. Suppose l(a) = 0. What is a?
-2, 0, 1
Let h be (1 + 539/(-546))/(1/2). Let s(g) be the second derivative of 1/78*g**4 + 0 + g + h*g**3 + 0*g**2. Factor s(p).
2*p*(p + 1)/13
Suppose -34 + 14 = -4*t. Suppose -3 = -s, -t*s + s = 3*x - 21. Factor 3/2*c**2 + 0*c + 0 + 3/4*c**x.
3*c**2*(c + 2)/4
Let u be ((-2)/6)/((-340)/408). Factor -8/15 + 0*v - 2/15*v**3 + u*v**2.
-2*(v - 2)**2*(v + 1)/15
Let s(m) be the third derivative of m**8/224 - m**7/63 + m**6/180 + m**5/20 - 13*m**4/144 + m**3/18 + 2*m**2 + 95. Factor s(h).
(h - 1)**3*(h + 1)*(9*h - 2)/6
Let x(b) = -2*b**3 - 145*b**2 - 2593*b - 2453. Let f(t) = 10*t**3 + 724*t**2 + 12964*t + 12264. Let r(q) = -6*f(q) - 28*x(q). Factor r(u).
-4*(u + 1)*(u + 35)**2
Let g = 1560/29 - 9470/203. Factor -g - 20/7*a - 2/7*a**2.
-2*(a + 5)**2/7
Let z(w) be the third derivative of 3*w**2 + 0*w + 5/12*w**4 + 0*w**3 + 1/12*w**5 + 0. Factor z(l).
5*l*(l + 2)
Suppose 0 = 6*x + 10 + 14. Let a(d) = 0*d - 3*d**3 + 3*d + d**3 - 6*d**2. Let t(q) = -q**3 - 6*q**2 + 3*q. Let k(l) = x*a(l) + 5*t(l). Factor k(p).
3*p*(p - 1)**2
Let a(d) be the first derivative of d**4/12 + 34*d**3/9 + 42*d**2 - 216*d - 313. Find s, given that a(s) = 0.
-18, 2
Let m(z) = -26*z + 34. Let t be m(-10). Let x = 296 - t. Suppose -2/9*p**x + 8/9*p + 10/9 = 0. What is p?
-1, 5
Let i(q) be the third derivative of 0*q + 12*q**2 + 0 - 2/27*q**4 - 4/27*q**3 - 1/54*q**5 - 1/540*q**6. Factor i(j).
-2*(j + 1)*(j + 2)**2/9
Suppose z - 2 + 38 = 5*v, -5*v + 4*z + 39 = 0. Let g(t) = t**3 - 8*t**2 + 10*t - 21. Let u be g(v). What is l in -2/7*l + u - 2/7*l**2 = 0?
-1, 0
Let k(n) be the first derivative of -2*n**3/39 + 86*n**2/13 - 3698*n/13 + 81. Factor k(q).
-2*(q - 43)**2/13
Determine r so that 2*r**3 - r**2 - 1/2*r - 3/2*r**5 + 0 + r**4 = 0.
-1, -1/3, 0, 1
Let u(p) = -p**2. Let q(f) = 10*f**2 - 6*f - 5. Let b(s) = -9*s**2 + 5*s + 4. Let j(w) = 5*b(w) + 4*q(w). Let m(r) = -4*j(r) + 22*u(r). Factor m(l).
-2*l*(l + 2)
Let o(k) be the first derivative of 1/6*k**4 + 0*k + 0*k**2 + 0*k**3 + 48 - 2/75*k**5. Suppose o(a) = 0. Calculate a.
0, 5
Let i = -14 - -9. Let p(g) = 15*g**2 + 35*g + 25. Let u(t) = 7*t**2 + 17*t + 12. Let m(n) = i*u(n) + 2*p(n). Factor m(k).
-5*(k + 1)*(k + 2)
Let t(h) = -2*h - 1 + 2*h**2 + 7 - 2. Let z(w) = -2*w**2 + 3*w - 5. Let d(r) = 5*t(r) + 4*z(r). Factor d(i).
2*i*(i + 1)
Let o(d) 