 2*y - 12. Let s(g) = 2*b(g) + 5*k(g). Solve s(t) = 0 for t.
-2, -1, 2, 3
Factor 28 + 374*a**2 - 363*a**2 - a**3 - 21*a - 11*a.
-(a - 7)*(a - 2)**2
Let c(q) = 14*q**3 - 100*q**2 + 14*q. Let d(t) = 3*t**3 - 20*t**2 + 3*t. Let n(l) = 3*c(l) - 16*d(l). Factor n(u).
-2*u*(u - 3)*(3*u - 1)
Suppose -24*h - 2*c = -20*h - 10, 12 = 4*h + 4*c. Find d, given that 2/13*d**h + 0*d + 0 - 2/13*d**3 = 0.
0, 1
Let q(x) be the first derivative of 4*x**3/15 - 424*x**2/5 + 44944*x/5 + 327. Determine g so that q(g) = 0.
106
Let d = -22 - -27. Suppose -d - 4 = -3*s. Find l, given that -l**4 - 4*l**3 + 17*l**3 + 2*l**s + 12*l + 24*l**2 + 4*l**4 = 0.
-2, -1, 0
Let f = -118 - -121. Determine y so that -16/3 - 16/3*y + 4/3*y**f + 0*y**2 + 1/3*y**4 = 0.
-2, 2
Let y(q) be the second derivative of 0*q**4 + 0*q**3 - 3*q + 0 + q**2 - 1/240*q**5 + 1/480*q**6. Let x(b) be the first derivative of y(b). Factor x(j).
j**2*(j - 1)/4
Let j(p) = -51*p**4 - 171*p**3 - 136*p**2 - 16*p + 8. Let c(y) = -205*y**4 - 685*y**3 - 545*y**2 - 65*y + 30. Let u(t) = -4*c(t) + 15*j(t). Factor u(b).
5*b*(b + 1)*(b + 2)*(11*b + 2)
Suppose 4*h - 838 = -50. Let m = h + -976/5. Suppose 3/5*v**3 - 9/5*v**2 - 3/5 + m*v = 0. Calculate v.
1
Let q(m) be the second derivative of -1/10*m**6 + 1/6*m**4 + 1/42*m**7 + 0 + 1/10*m**5 - 1/2*m**3 + 13*m + 1/2*m**2. Factor q(d).
(d - 1)**4*(d + 1)
Let n(p) be the second derivative of p**7/5040 + p**6/360 + 5*p**4/12 + 12*p. Let u(l) be the third derivative of n(l). Determine w, given that u(w) = 0.
-4, 0
Let r be (11 - 8)*(-2)/6. Let q be -2*2*r/2. Solve 8*f**q - 4*f**4 + 8*f + 2*f**5 - 3*f**3 - f**3 - 2*f**3 = 0 for f.
-1, 0, 2
Factor -1/3*l**2 - l + 4/3.
-(l - 1)*(l + 4)/3
Find g such that 9*g**5 + 17*g**2 + 21*g**4 - 7*g**2 + 15*g**3 - 7*g**2 = 0.
-1, -1/3, 0
Let v(y) be the second derivative of 5*y - 3/20*y**6 - 3/20*y**5 + 0*y**3 + 9/8*y**4 + 4 - 3*y**2. Suppose v(p) = 0. Calculate p.
-2, -2/3, 1
Let x(f) be the third derivative of -f**8/504 + 4*f**7/315 + f**6/30 - 2*f**5/45 - 5*f**4/36 + 9*f**2. Find r, given that x(r) = 0.
-1, 0, 1, 5
Let j(c) be the first derivative of c**5/5 - c**3/3 + 33. Find d such that j(d) = 0.
-1, 0, 1
Find d such that -100*d**3 - 205*d**4 + 0*d**5 + 215*d**4 + 158*d**2 - 38*d**2 + 5*d**5 = 0.
-6, 0, 2
Let y(p) = 9*p**3 - 60*p**2 - 425*p - 475. Let z(n) = -3*n**3 + 21*n**2 + 142*n + 158. Let d(t) = -2*y(t) - 7*z(t). Factor d(k).
3*(k - 13)*(k + 2)**2
Let u(a) be the second derivative of 0 - 19/4*a**4 + 3/5*a**5 - 40*a + 19/2*a**3 + 9*a**2. Suppose u(k) = 0. What is k?
-1/4, 2, 3
Factor 61/5*b**2 + 1/5*b**4 + 36/5 + 84/5*b + 14/5*b**3.
(b + 1)**2*(b + 6)**2/5
Let m(f) be the second derivative of -f**8/1344 + f**7/126 - f**6/48 - f**4/4 - 4*f. Let s(w) be the third derivative of m(w). Suppose s(b) = 0. Calculate b.
0, 1, 3
Let t be (-117 - -15) + (-2 - -1). Let o = t - -105. Factor 3/2*x**o + 0 - 3/2*x**3 + 3*x.
-3*x*(x - 2)*(x + 1)/2
Let a(j) be the first derivative of -2*j**3/9 + j**2/3 + 4*j/3 - 107. Factor a(h).
-2*(h - 2)*(h + 1)/3
Let w(k) = 2*k**4 + 43*k**3 - 25*k**2 - 65*k + 23. Let h(i) = -i**4 - 14*i**3 + 8*i**2 + 22*i - 7. Let n(y) = -11*h(y) - 4*w(y). Let n(t) = 0. What is t?
-1, 1, 5
Let p = 1186/5 - 8272/35. Factor -6/7 + 18/7*t - 12/7*t**2 + 18/7*t**4 - 12/7*t**3 - p*t**5.
-6*(t - 1)**4*(t + 1)/7
Let q(p) = -14*p**2 - 22*p - 30. Let t(g) = 2*g**2 + 1. Let u(m) = -q(m) - 6*t(m). Let o be u(-10). Factor 0*f + 4/7*f**o - 2/7*f**5 + 0 + 0*f**2 - 2/7*f**3.
-2*f**3*(f - 1)**2/7
Let a(g) = 5*g - 25. Let v be a(5). Let r = 171/517 - 7/47. Suppose 0*x**2 + 0*x + r*x**3 + v + 0*x**4 - 2/11*x**5 = 0. Calculate x.
-1, 0, 1
Let y = 48855/4 - 447463/36. Let k = y - -216. Suppose 0*z - 2/9*z**2 + k = 0. What is z?
-1, 1
Let f(l) = 8*l**2 + 6*l - 8. Let y(q) = -7*q**2 - 6*q + 8. Let w(j) = -5*f(j) - 6*y(j). Solve w(g) = 0 for g.
-4, 1
Let r(m) be the third derivative of m**5/150 + 4*m**4/15 + 16*m**3/5 + 157*m**2 - 1. Factor r(a).
2*(a + 4)*(a + 12)/5
Let t(i) be the first derivative of -9*i**5/20 + 3*i**4/8 + i**3/4 - 294. Factor t(w).
-3*w**2*(w - 1)*(3*w + 1)/4
Let x(u) be the third derivative of -u**5/60 + 7*u**4/24 - u**3 + 254*u**2. Factor x(k).
-(k - 6)*(k - 1)
Let n(s) = s**3 + 34*s**2 + 90*s - 6. Let x be n(-3). Let d = -11 - -11. Factor d*o - 1/3*o**x + 0 + 2/3*o**2.
-o**2*(o - 2)/3
Let c(m) = 4*m - 4. Let d be c(2). Factor 3*z**5 + z**3 + 60*z**4 - 2*z**5 - 62*z**d.
z**3*(z - 1)**2
Let f(n) be the first derivative of -1/4*n**2 + 0*n - 12 - 1/20*n**5 - 5/12*n**3 - 1/4*n**4. Factor f(d).
-d*(d + 1)**2*(d + 2)/4
Let f be (-6)/75 + 1073/4350. Solve 0 - f*z + 1/6*z**2 = 0 for z.
0, 1
Let s(m) be the third derivative of m**6/540 - m**5/27 + 29*m**2. What is b in s(b) = 0?
0, 10
Factor 3/4*t - 1/2*t**4 + 0 + 1/2*t**2 - t**3 + 1/4*t**5.
t*(t - 3)*(t - 1)*(t + 1)**2/4
Let t(a) be the first derivative of -a**4/6 - 86*a**3/9 - 161*a**2 - 294*a - 738. Factor t(z).
-2*(z + 1)*(z + 21)**2/3
Suppose -14 - 12*i - 30*i + 30*i + 4*i**2 + 22 = 0. Calculate i.
1, 2
Let i be 3/10 - (1273/(-190) - (-10)/2). Solve 10/3*u**4 - 2*u**3 + 0 + 0*u - 4/3*u**i = 0.
-2/5, 0, 1
Factor 1444/3*b - 152/3*b**2 + 4/3*b**3 + 0.
4*b*(b - 19)**2/3
Factor 16/5*n**2 + 1/5*n**4 - 7/5*n**3 - 12/5*n + 0.
n*(n - 3)*(n - 2)**2/5
Let q(c) = 6*c**3 + 56*c**2 - 104*c + 4. Let y(o) = -5*o**3 - 56*o**2 + 108*o - 3. Let n(r) = 3*q(r) + 4*y(r). Factor n(j).
-2*j*(j - 2)*(j + 30)
Let f be 104/(-39)*(1/(-8) + 0). Determine g so that -2/3 - g + f*g**3 + 0*g**2 = 0.
-1, 2
Factor 12/5*i**2 + 26/5*i - 2/15*i**3 + 8/3.
-2*(i - 20)*(i + 1)**2/15
Factor 1/7*v**4 - 46/7 - 3/7*v**2 + 71/7*v - 23/7*v**3.
(v - 23)*(v - 1)**2*(v + 2)/7
Let p(h) = -12*h**3 + 15*h**2. Let k(y) = 3*y**3 - 4*y**2. Suppose -14*t = -13*t + 4. Let q(d) = t*p(d) - 15*k(d). Factor q(s).
3*s**3
Let h(j) be the third derivative of j**7/630 - 4*j**6/15 + 1199*j**5/90 - 188*j**4/3 + 2209*j**3/18 - 11*j**2 + 11*j. Factor h(r).
(r - 47)**2*(r - 1)**2/3
Let i(u) = -43*u**2 + 1104*u - 76176. Let v(a) = -20*a**2 + 552*a - 38088. Let y(r) = -6*i(r) + 13*v(r). Factor y(j).
-2*(j - 138)**2
Let l = 249 - 229. Suppose -5 = l*k - 5. Let 3/5*c + k - 12/5*c**5 + 9/5*c**3 + 3*c**4 - 3*c**2 = 0. What is c?
-1, 0, 1/4, 1
Let n(j) be the third derivative of j**7/630 + j**6/90 + j**5/30 + j**4/18 - 7*j**3/6 - 11*j**2. Let y(h) be the first derivative of n(h). Factor y(z).
4*(z + 1)**3/3
Let l = -27/2 - -55/4. Let c(i) be the first derivative of 1/8*i**4 + l*i**2 + 1/3*i**3 + 0*i - 5. Factor c(f).
f*(f + 1)**2/2
Let k(p) be the first derivative of 2*p**7/105 - p**6/15 - p**5/5 + 9*p**2/2 - 52. Let a(v) be the second derivative of k(v). Find d, given that a(d) = 0.
-1, 0, 3
Let i(a) be the third derivative of -2*a**7/105 - 3*a**6/10 - 7*a**5/5 - 19*a**4/6 - 4*a**3 + 18*a**2. Factor i(p).
-4*(p + 1)**3*(p + 6)
Let p(v) = -6*v**2 - 9*v - 25. Let y(h) = -h**2 - 2*h - 5. Let w(m) = -4*p(m) + 22*y(m). Solve w(n) = 0 for n.
-1, 5
Factor -6*f + 16/3*f**2 + 0 + 2/3*f**3.
2*f*(f - 1)*(f + 9)/3
Suppose -4*b + 271 = 259. Let n(k) be the third derivative of -1/39*k**4 + 0*k + 3*k**2 + 4/39*k**b + 0 + 1/390*k**5. Factor n(r).
2*(r - 2)**2/13
Suppose -4*t + 8*b = 4*b - 8, -5*b + 10 = 0. Suppose -9*f + 225 = 207. Factor -t*s - s**2 + 4*s + 0*s**f + 1.
-(s - 1)*(s + 1)
Determine n so that 0 + 13*n - 9 + 5*n**2 - 13*n + 3*n**4 - 12*n + 12*n**3 + n**2 = 0.
-3, -1, 1
Let y(r) = r**3 + r**2 - 2*r + 1. Let i(h) = 4*h**2 + 2*h - 11. Let g(j) = i(j) - y(j). Factor g(u).
-(u - 3)*(u - 2)*(u + 2)
Let q = 33 + -30. Let -q*o**3 - 8*o**2 + 3*o + 8*o**2 = 0. What is o?
-1, 0, 1
Suppose 0 + 4 = 2*o. Factor -3*q - 2*q**o + q - 28 + 32.
-2*(q - 1)*(q + 2)
Let f(d) = d**4 + 54*d**3 - 40*d**2 - 250*d - 153. Let n(m) = 2*m**4 + 54*m**3 - 41*m**2 - 251*m - 153. Let p(q) = -5*f(q) + 4*n(q). Find w such that p(w) = 0.
-1, 3, 17
Let j(f) be the second derivative of -f**8/5760 - f**7/945 - 11*f**6/4320 - f**5/360 - 7*f**4/3 + 27*f. Let z(m) be the third derivative of j(m). Factor z(b).
-(b + 1)**2*(7*b + 2)/6
Let l(d) be the second derivative of -d**7/56 - d**6/4 - 9*d**5/8 + 135*d**3/8 + 243*d**2/4 + 6*d - 6. Factor l(p).
-3*(p - 2)*(p + 3)**4/4
Let n be -1*(0 + (-27)/(-3)). Let i(c) = c**2 + 8*c - 7. Let u be i(n). Factor -2*y - 10*y**2 - 2 + 2 + 8*y**u.
-2*y*(y + 1)
Suppo