 19*k. Let k*t + t**2 + 9/2*t**3 + 0 = 0. What is t?
-2/9, 0
Let y(o) be the second derivative of o**7/126 + o**6/15 + 11*o**5/60 + o**4/18 - 2*o**3/3 - 4*o**2/3 - 298*o. What is x in y(x) = 0?
-2, -1, 1
Let b(v) be the third derivative of v**8/168 + 17*v**7/210 + 3*v**6/8 + 9*v**5/20 - 9*v**4/8 + 22*v**2 - 9*v. Solve b(o) = 0.
-3, 0, 1/2
Let v(m) be the first derivative of -m**3/12 - m**2/4 - m/4 + 161. Factor v(g).
-(g + 1)**2/4
Let m(d) be the first derivative of -13 + 10*d**2 + 14/3*d**3 - 1/4*d**4 - 4/5*d**5 + 8*d - 1/6*d**6. Determine t, given that m(t) = 0.
-2, -1, 2
Let c(f) be the second derivative of -13*f - 2/3*f**3 + 0 + 0*f**2 - 2/3*f**4 - 1/5*f**5. Factor c(i).
-4*i*(i + 1)**2
Let u = 25224 + -327910/13. Find k such that -2/13*k**2 - u + 4/13*k = 0.
1
Let g(l) be the second derivative of l**5/80 - 65*l**4/48 - 123*l. Factor g(a).
a**2*(a - 65)/4
Let r be 92/(-44) - -2 - (-116)/308. Factor r*l**3 - 30/7*l**2 + 150/7*l - 250/7.
2*(l - 5)**3/7
Suppose -8*a = -11*a + 78. Let b = 29 - a. Find u such that 29*u**2 + 33*u**b + 39*u**2 - 23*u**2 + 27*u + 9*u**4 + 6 = 0.
-1, -2/3
Suppose w - 10 = 5. Let a be 1/(w/(-8) + 2). Let -11*x**3 - 7*x**2 - 7*x**4 + 4*x - x**2 - a*x**3 = 0. Calculate x.
-2, -1, 0, 2/7
Let a be (6/4)/((-3)/12). Let l(f) = f**3 + 6*f**2 - 2*f - 10. Let n be l(a). Factor 8*b + 8*b**n - 3*b**3 - b**3 + 10*b**4 - 22*b**3.
2*b*(b - 2)*(b - 1)*(5*b + 2)
Let x = -86/159 - -1874/1113. Factor 4/7 - 8/7*h**4 + x*h**3 + 4/7*h**2 - 10/7*h + 2/7*h**5.
2*(h - 2)*(h - 1)**3*(h + 1)/7
Let p(i) be the third derivative of 1/1440*i**6 - 8*i**2 + 1/32*i**4 + 1/120*i**5 + 0*i + 0 - 11/6*i**3. Let g(w) be the first derivative of p(w). Factor g(h).
(h + 1)*(h + 3)/4
Let v(c) be the third derivative of -c**8/2352 + 2*c**7/735 - c**6/168 + c**5/210 - 296*c**2. Suppose v(o) = 0. What is o?
0, 1, 2
Let l be 2/(-2)*(-2 - -4)/(-2). Let v be (28/35)/1 + l. Let -3/5*x**3 + 9/5*x**2 - v*x + 3/5 = 0. What is x?
1
Let d(u) be the third derivative of u**5/15 + u**4/3 + 8*u**2. Factor d(c).
4*c*(c + 2)
Let s(u) = -u**2 - 7*u - 10. Let h be s(-5). Let q(l) be the first derivative of 1/3*l**3 - 2 + l**2 + h*l. What is k in q(k) = 0?
-2, 0
Suppose -k = -9*k + 1520. Let d = -187 + k. Determine w, given that -4/3*w + 0 - 4/3*w**d - 8/3*w**2 = 0.
-1, 0
Find w such that 0 + 14/3*w - 2/3*w**2 = 0.
0, 7
Let d = 4306 + -8597/2. Factor 14*q**2 + d*q + 1.
(4*q + 1)*(7*q + 2)/2
Suppose -t + w - 14 + 4 = 0, -t - 3*w = 10. Let m be (t/(-40))/(0 - -1). Factor 0*l**3 - 1/2*l**4 + 0*l + 0*l**2 + 0 + m*l**5.
l**4*(l - 2)/4
Let r = -270 + 273. Let v(h) be the first derivative of -2/27*h**r - 1/9*h**2 + 0*h - 1. Solve v(k) = 0.
-1, 0
Let v be 12 + -3 + 14 + (-14 - 9). Suppose -3/10*n + v - 1/10*n**2 = 0. What is n?
-3, 0
Let c(p) be the second derivative of 150*p**7/7 + 68*p**6 - 1451*p**5/5 + 488*p**4/3 + 424*p**3/3 + 32*p**2 - p - 96. Find h such that c(h) = 0.
-4, -2/15, 1
Let o(n) be the first derivative of -n**5/420 + n**4/42 - 2*n**3/21 + 7*n**2 + 12. Let c(l) be the second derivative of o(l). Factor c(s).
-(s - 2)**2/7
Let m(d) = d**2 + 11*d - 12. Let n be m(-12). Let f(g) be the second derivative of -2*g + 1/12*g**3 - 1/40*g**5 + n*g**2 + 0*g**4 + 0. Factor f(c).
-c*(c - 1)*(c + 1)/2
Let v(q) = -q**3 + 8*q**2 - 39*q + 590. Let d be v(10). Factor 0*j**2 + 1/5*j**3 + 0*j + d.
j**3/5
Let z(y) be the second derivative of -9/14*y**7 + 2*y**6 + 0 - 9*y + 22/27*y**3 - 97/60*y**5 - 29/54*y**4 + 4/9*y**2. Determine g so that z(g) = 0.
-2/9, 2/3, 1
Suppose 2*p**3 + 327*p - 4*p**2 + 318*p - 651*p = 0. What is p?
-1, 0, 3
Let o(q) = -14*q**2 + 8*q + 6. Let l(x) = 9*x**2 - 5*x - 4. Let i be 4/(-8)*(-11 + 1). Let j(d) = i*o(d) + 7*l(d). Factor j(y).
-(y - 1)*(7*y + 2)
Factor 7543 - 234*x - 21*x**2 - 21232 + 20*x**2.
-(x + 117)**2
Let m(x) be the third derivative of 1/45*x**5 - 2/315*x**7 - 43*x**2 + 1/252*x**8 + 0*x**4 + 0*x**3 + 0*x - 1/90*x**6 + 0. Solve m(z) = 0.
-1, 0, 1
Let j(x) = 3*x**3 - 15*x**2 + 30*x - 21. Let o(g) = 6*g**3 - 31*g**2 + 61*g - 41. Let z(i) = -5*j(i) + 3*o(i). Find d, given that z(d) = 0.
1, 2, 3
Let u(q) be the second derivative of q**6/10 - q**4/4 - 7*q. Factor u(b).
3*b**2*(b - 1)*(b + 1)
Let b(a) = -6*a**4 - 4*a**3 - a**2 + 11*a - 5. Let c(t) = -t**4 + t - 1. Let z(n) = -3*b(n) + 15*c(n). Factor z(j).
3*j*(j - 1)*(j + 2)*(j + 3)
Suppose v - 10 + 15 = u, 3*v = -9. Factor -3/5*y**u - 12/5*y + 3.
-3*(y - 1)*(y + 5)/5
Let g be (4 - -7)*(1 - 2). Let w be 3*4/(-12) + g/(-3). Factor -2/3*t**5 - 4*t**3 - 2/3*t + 0 + w*t**2 + 8/3*t**4.
-2*t*(t - 1)**4/3
Let u be (-4216)/(-217) - (13 + 0). Find b such that -75/7*b**2 + 0 - u*b**3 + 27/7*b**4 + 0*b - 3/7*b**5 = 0.
-1, 0, 5
Suppose -2096*u + 40 = -2097*u + 4*y, -3*u + 2*y = 20. Factor 20/7*w + u - 16/7*w**2 - 4/7*w**3.
-4*w*(w - 1)*(w + 5)/7
Factor -31*d**3 - 347 + 7*d**3 - d**4 + 480*d - 293 - 51*d**3 + 6*d**4 + 230*d**2.
5*(d - 8)**2*(d - 1)*(d + 2)
Let c(l) = l**3 - 6*l**2 - 5*l - 7. Let p be c(7). Suppose -p - 1 = -4*w. Factor 24*n + 14*n**2 + 9*n**w + 31*n**2 - 12 + 3*n**2 + 21*n**3.
3*(n + 1)*(n + 2)*(7*n - 2)
Let z = 25 - 22. Factor -6*m + 4*m**3 + 2*m**2 + 3*m**5 + 7*m**4 - m**5 - 1 + 4*m**z + 4*m.
(m + 1)**4*(2*m - 1)
Let u(h) be the first derivative of -h**5/80 - h**4/16 - 22*h + 5. Let a(n) be the first derivative of u(n). Suppose a(g) = 0. Calculate g.
-3, 0
Let l = 127 - 126. Suppose -2*s - 2 = 0, -4*n + 0 = s + l. Factor -1/3*v**2 + 1/6*v**4 + 1/6*v**3 + n*v + 0.
v**2*(v - 1)*(v + 2)/6
Let q be (-965)/193 + 8/1. Factor -4/7*r - 2/7*r**4 + 0 + 4/7*r**q + 2/7*r**2.
-2*r*(r - 2)*(r - 1)*(r + 1)/7
Let i be (-47)/(-9) - 100/450. Let d(o) be the second derivative of 0*o**2 + 0 - 7/24*o**4 - 1/2*o**3 + 3/40*o**i - 13*o. Solve d(g) = 0 for g.
-2/3, 0, 3
Let p(d) be the first derivative of 22 + 0*d + 3/4*d**4 + 4/5*d**5 - 4/3*d**3 - 2/3*d**6 + 1/2*d**2. Let p(j) = 0. What is j?
-1, 0, 1/2, 1
Let k be 11849/779 + 3*-5. Factor 0 + 10/19*s**3 + 0*s - k*s**2 + 2/19*s**5 - 8/19*s**4.
2*s**2*(s - 2)*(s - 1)**2/19
Let x(f) be the first derivative of -f**4/4 - 26*f**3/3 - 49*f**2/2 - 24*f + 65. Find c such that x(c) = 0.
-24, -1
Suppose -6 = -2*u + 18. Let 6*s**3 + 3*s**4 - 20*s**3 - u*s + s**4 + 10*s**3 - 20*s**2 = 0. Calculate s.
-1, 0, 3
Let c(f) be the second derivative of -f**7/168 - 7*f**6/120 - 13*f**5/80 + f**4/16 + 3*f**3/4 + 13*f + 3. Determine k, given that c(k) = 0.
-3, -2, 0, 1
Let w = 3756/7 - 18773/35. Factor -w*c**2 - 4/5*c - 4/5.
-(c + 2)**2/5
Suppose 20*j + 308 = 408. Factor 18/11*v**j - 128/11*v**2 + 16*v**3 + 32/11*v + 0 - 96/11*v**4.
2*v*(v - 2)**2*(3*v - 2)**2/11
Let w(j) be the third derivative of 7*j**5/150 + 11*j**4/20 - 2*j**3/3 - 8*j**2 + 4. Factor w(f).
2*(f + 5)*(7*f - 2)/5
Suppose c = 106 - 93. Solve 10*v**3 - 3*v**4 - 6*v**5 + c*v**4 + 10 - 5*v - 4*v**5 - 20*v**2 + 5*v**5 = 0.
-1, 1, 2
Suppose 0 = 2*p + 8*p - 570. Let u = 403/7 - p. Factor u*f**2 + 0*f - 2/7*f**3 + 0.
-2*f**2*(f - 2)/7
Let r(p) be the third derivative of -p**8/84 - 2*p**7/21 - 7*p**6/30 - p**5/5 + 3*p**2 + 10. Determine l, given that r(l) = 0.
-3, -1, 0
Let j = 53 + -51. Factor -10*v**2 - 7*v - 5*v**j + 14*v**2.
-v*(v + 7)
Factor -1/3*h**2 - 7/3*h - 10/3.
-(h + 2)*(h + 5)/3
Suppose -11*i + 29 + 4 = 0. Let p(z) be the first derivative of -z**i + 6/5*z - 5 - 9/10*z**2. Solve p(k) = 0 for k.
-1, 2/5
Suppose 234 = -2*r + 4*a, 0 = -3*r + 2*r - a - 105. Let b = -541/5 - r. Factor -1/5*g**4 - 4/5*g + 1/5*g**3 + b*g**2 + 0.
-g*(g - 2)*(g - 1)*(g + 2)/5
Suppose 4*b = 5*v + 9, 22 = 3*b + v + 1. Suppose 0 = -60*m + 57*m + b. Solve 6/11*o**3 - 2/11*o**m + 0 + 2/11*o**5 + 0*o - 6/11*o**4 = 0.
0, 1
Factor -14/5*a**3 - 2/5*a**4 + 0 - 32/5*a**2 - 24/5*a.
-2*a*(a + 2)**2*(a + 3)/5
Let p(d) be the first derivative of 0*d - 16 - 2/7*d**2 + 38/21*d**3. Factor p(n).
2*n*(19*n - 2)/7
Let a(w) be the third derivative of 0*w + 11/9*w**4 - 242/9*w**3 + 0 - 50*w**2 - 1/45*w**5. Factor a(z).
-4*(z - 11)**2/3
Let d(u) be the second derivative of 44*u + 0*u**2 + 0 + 0*u**3 - 7/16*u**5 - 1/168*u**7 + 49/48*u**4 - 13/120*u**6. Determine g, given that d(g) = 0.
-7, 0, 1
Let s(j) be the third derivative of -j**6/300 + j**5/150 + 4*j**4/15 + 4*j**3/3 - 3*j**2 - 27*j. Factor s(q).
-2*(q - 5)*(q + 2)**2/5
Let i(p) be the first derivative of 2*p**3/3