y**6 - 5/42*y**7 + 11*y + 0*y**2 + 0*y**3 + 0*y**4. Factor k(s).
-5*s**3*(s - 1)*(s + 2)
Let u(o) = -3. Let p(n) = -2*n**2 + 6*n + 12. Let k(h) = p(h) + 4*u(h). What is w in k(w) = 0?
0, 3
Let n = 18 - 485/27. Let v(h) be the second derivative of -5*h + 0*h**2 - n*h**3 - 1/54*h**4 + 0. Factor v(q).
-2*q*(q + 1)/9
Let n(d) be the third derivative of 0*d + 1/12*d**4 - 1/20*d**5 + 1/90*d**6 + 0 + d**2 + d**3. Let a(g) be the first derivative of n(g). What is i in a(i) = 0?
1/2, 1
Let g(r) be the first derivative of 18 - 2/13*r - 2/13*r**3 - 3/13*r**2 - 1/26*r**4. Find n such that g(n) = 0.
-1
Let v = 226 + -224. Find d such that 0 - 4/17*d**v + 2/17*d = 0.
0, 1/2
Factor -2/3*k**3 + 0 - 46/3*k**2 + 0*k.
-2*k**2*(k + 23)/3
Factor -27 - 93/4*w + 9/2*w**2 + 3/4*w**3.
3*(w - 4)*(w + 1)*(w + 9)/4
Find h, given that 300 + 1974 + 261*h + 4*h**2 - 139*h + 118*h + 1326 = 0.
-30
Let i(c) be the first derivative of 2*c**3/27 + 2*c**2/3 + 16*c/9 + 833. Solve i(h) = 0.
-4, -2
Let f(l) be the second derivative of 21*l + 0 - 1/6*l**3 + 7/36*l**4 + 0*l**2 - 1/30*l**5. Factor f(r).
-r*(r - 3)*(2*r - 1)/3
Let b(r) be the second derivative of -r**6/15 + 4*r**5/5 - 7*r**4/6 + 3*r + 12. Factor b(z).
-2*z**2*(z - 7)*(z - 1)
Let o be (8/(-24))/(-1) + 8/3. Suppose 2 = m + x - 2, m = x. Determine t so that -4*t**m + 8/3*t**o - 2/3*t**4 + 8/3*t - 2/3 = 0.
1
What is h in -14*h**2 + 2*h**3 - 4*h**2 - 835*h + 871*h = 0?
0, 3, 6
Suppose 8 = 5*t - 3*b, 5*t - 7*b = -2*b. Suppose 25 = t*z + 9. Factor -1/2 - 1/2*s - 1/2*s**5 - 1/2*s**z + s**2 + s**3.
-(s - 1)**2*(s + 1)**3/2
Let z(v) be the first derivative of -v**4/12 + 53*v**3/9 - 103*v**2/6 + 17*v + 17. Solve z(q) = 0.
1, 51
Suppose 12 = 3*a - 2*d, 0 = 25*a - 27*a + 5*d + 19. Factor -2 - 2/3*w**a + 8/3*w.
-2*(w - 3)*(w - 1)/3
Let n(c) be the third derivative of -c**6/30 + 41*c**5/15 - 58*c**4/3 + 152*c**3/3 + c**2 - 55*c. Let n(h) = 0. Calculate h.
1, 2, 38
Suppose 6*q - 9*q**4 + 7*q**4 + 188*q**2 + 30*q**4 + 17*q + 17*q + 176*q**3 = 0. What is q?
-5, -1, -2/7, 0
Let t(h) = h**2 - 16*h + 11. Let r(b) = 2*b**2 - 47*b + 34. Let u(d) = 4*r(d) - 11*t(d). What is q in u(q) = 0?
-5, 1
Let k(f) = -5*f**5 - f**4 + 5*f**3 + f**2. Let a(g) = 32*g - 32*g - 6*g**5 + 6*g**3. Let y(p) = -3*a(p) + 4*k(p). Suppose y(n) = 0. Calculate n.
-2, -1, 0, 1
Let b(g) be the third derivative of g**6/2520 - g**5/42 + 25*g**4/42 + 19*g**3/6 - 22*g**2. Let t(z) be the first derivative of b(z). Find u such that t(u) = 0.
10
Let k = -5/22 - -8/11. Let h = -25 - -27. Find u, given that 1/2*u**h - k*u - 1/2 + 1/2*u**3 = 0.
-1, 1
Let j(r) = -r**3 - 23*r**2 + r + 26. Let v be j(-23). Let x(o) be the second derivative of 0*o**v - 1/24*o**4 + o**2 + 3*o + 0. Factor x(h).
-(h - 2)*(h + 2)/2
Let h(x) be the first derivative of 49*x**6/24 + 721*x**5/10 + 1733*x**4/2 + 10180*x**3/3 - 3350*x**2 + 1000*x - 21. Let h(c) = 0. Calculate c.
-10, 2/7
Let k be -1*(0 + -1) - (-762)/(-889). What is p in 3/7*p - k*p**2 - 2/7 = 0?
1, 2
Let y(o) = o - 4. Let v = 179 - 171. Let p be y(v). Factor 12/7*x**4 + 32/7*x**2 - 18/7*x - 2/7*x**5 + 4/7 - p*x**3.
-2*(x - 2)*(x - 1)**4/7
Let r(j) be the third derivative of j**5/20 + 5*j**4/8 + 2*j**3 - 7*j**2 - 3. Determine u so that r(u) = 0.
-4, -1
Let r = 30 - 28. Factor -9/4 + 3/2*p + 3/4*p**r.
3*(p - 1)*(p + 3)/4
Suppose 0*v**2 - 2/11*v**5 + 0*v - 40/11*v**4 + 0 + 0*v**3 = 0. Calculate v.
-20, 0
Let b(x) be the second derivative of -8*x - 7/30*x**6 - 1/6*x**3 + 0*x**2 + 0 + 7/24*x**7 + 7/12*x**4 - 9/16*x**5. What is p in b(p) = 0?
-1, 0, 2/7, 1
Let w(c) = -37*c**3 - 9*c**2 - 5*c - 17. Let u(n) = -13*n**3 - 3*n**2 - 2*n - 6. Let m(l) = -17*u(l) + 6*w(l). Factor m(a).
-a*(a - 1)*(a + 4)
Let j(b) be the first derivative of -b**3/27 - 14*b**2/9 - 196*b/9 - 417. Let j(r) = 0. What is r?
-14
Suppose -40/9*t + 10/3*t**3 - 38/9*t**2 - 8/9 = 0. What is t?
-2/5, -1/3, 2
Let n be (-24)/27*(-135)/180. Let a = 12 + -34/3. Solve -n*z - a*z**3 + 4/3*z**2 + 0 = 0 for z.
0, 1
Solve -81/5 - 3/5*a**2 + 36/5*a = 0 for a.
3, 9
Suppose -5*w - z + 4*z = -102, 3*z = -w + 24. Suppose w = 5*f + 2*f. Factor -c**4 - 2*c**3 - 5*c**5 - 3*c**4 + f*c**5 + 0*c**5.
-2*c**3*(c + 1)**2
Let u(f) be the third derivative of f**7/525 - f**6/50 + 2*f**5/25 - f**4/6 + f**3/5 - 13*f**2 - 2*f. Factor u(q).
2*(q - 3)*(q - 1)**3/5
Solve 147*q - 288*q - 100 - q**2 + 161*q = 0.
10
Let a = 2 - -6. Determine v so that -60 + 100*v + a*v**2 + 5*v**4 - 35*v**2 - 8*v**2 - 10*v**3 = 0.
-3, 1, 2
Suppose 1152 = 73*q + 503*q. Solve -v + 2 - 1/2*v**q + 1/4*v**3 = 0 for v.
-2, 2
Let z(m) be the first derivative of m**4/28 - m**3/21 - m**2/14 + m/7 + 101. Factor z(t).
(t - 1)**2*(t + 1)/7
Let d(l) be the second derivative of -l**5/5 + 6*l**4 - 34*l**3/3 - 38*l. Determine g so that d(g) = 0.
0, 1, 17
Let d(h) be the third derivative of -37*h**8/192 + h**7/14 + h**6/120 + 8*h**2 + 6. Factor d(n).
-n**3*(7*n - 2)*(37*n + 2)/4
Let f(i) = i**4 - 10*i**3 - 42*i**2 - 58*i - 25. Let s(x) = -4*x**4 + 29*x**3 + 124*x**2 + 173*x + 75. Let c(u) = -14*f(u) - 4*s(u). Factor c(h).
2*(h + 1)**2*(h + 5)**2
Let y be (-1 + -1)*5/(-15)*6. Suppose 8*z - y*z = 8. Factor x**2 + 1/2*x**5 + 5/2*x**3 + 0 + 0*x + z*x**4.
x**2*(x + 1)**2*(x + 2)/2
Suppose s + 3*s + 4*s = 0. Let q be (s - (-6)/(-3))*(-4)/12. Factor -q*w**2 + 2/3*w**3 + 0*w + 0.
2*w**2*(w - 1)/3
Let n = 283 + -17828/63. Let l(f) be the second derivative of -2/9*f**4 + 1/5*f**5 + 0*f**2 + 0 - 4/45*f**6 + 1/9*f**3 + n*f**7 + 6*f. Factor l(s).
2*s*(s - 1)**4/3
Let d = 307 + -1219/4. Let z(n) be the first derivative of 6*n - 3/5*n**5 + 5 - 9/2*n**2 - n**3 + d*n**4. Determine j, given that z(j) = 0.
-1, 1, 2
Factor -172/3*g**3 - 1312/3*g**2 - 22/9*g**4 - 8960/9*g + 2048/3.
-2*(g + 8)**3*(11*g - 6)/9
Let s(k) = -2*k + 4. Let m be s(-11). Factor m*y**3 + 6*y**3 - 18*y**2 - 50*y**4 + 4*y**5 + 30*y**4 + 2*y**2.
4*y**2*(y - 2)**2*(y - 1)
Solve -41*u - 87 + 71*u - 5*u**2 + 17 + 45*u = 0 for u.
1, 14
Let p = 50 - 48. Factor 1 + 74*d - d**p - 74*d.
-(d - 1)*(d + 1)
Factor 10/7*n**3 + 0 + 2/7*n**4 + 8/7*n**2 + 0*n.
2*n**2*(n + 1)*(n + 4)/7
Suppose -4*o = -69 + 89, 2*a + 4*o = -20. Factor a + 1/2*v + 3/2*v**2.
v*(3*v + 1)/2
What is n in 2/7*n**2 + 18/7*n**4 + 8*n - 60/7*n**3 - 24/7 = 0?
-1, 2/3, 3
Let r(k) be the first derivative of -6 - 6/7*k**3 + 6/7*k + 1/2*k**2 + 5/28*k**4. Factor r(t).
(t - 3)*(t - 1)*(5*t + 2)/7
Determine z so that 72/7*z + 0 - 3/7*z**3 + 6/7*z**2 = 0.
-4, 0, 6
Let r(c) be the second derivative of -c**5/5 + 77*c**4/3 - 962*c**3 - 3042*c**2 - c + 124. What is j in r(j) = 0?
-1, 39
Let 20*y**3 - 750*y**2 - 1/5*y**4 + 12500*y - 78125 = 0. What is y?
25
Suppose 5*i = 2*q - 0*q + 6, -3*q = -2*i + 9. Let -6*r + r**2 + 8 + i*r**2 - 3*r**2 = 0. Calculate r.
-4, 1
Let a = 30617 - 215143/7. Let h = 118 + a. Let 0 - h*n**5 - 6/7*n**3 + 2/7*n**2 + 6/7*n**4 + 0*n = 0. What is n?
0, 1
Let m(c) = -c**2 - 2*c + 1. Let i(q) = -11*q**2 - 32*q - 14. Let h(z) = -i(z) + 6*m(z). What is f in h(f) = 0?
-2
Let u(o) be the third derivative of -o**8/672 - o**7/60 + 17*o**6/240 - 3*o**5/40 - 83*o**2 - 1. Factor u(d).
-d**2*(d - 1)**2*(d + 9)/2
Let m(c) be the first derivative of c**9/7560 + c**8/2100 + 10*c**3 - 9. Let o(n) be the third derivative of m(n). Factor o(w).
2*w**4*(w + 2)/5
Let s(o) be the first derivative of -3/4*o**4 + 1/2*o**6 + 0*o**5 + 18 + 0*o**3 + 0*o + 0*o**2. Suppose s(z) = 0. Calculate z.
-1, 0, 1
Suppose 8*o + 167 = 183. Factor 0*i - 2/5*i**3 + 0 + 0*i**o - 2/5*i**4.
-2*i**3*(i + 1)/5
Let i(z) be the second derivative of 2*z**6/45 + z**5/60 - 42*z. Determine p, given that i(p) = 0.
-1/4, 0
Suppose 2*h = -8*h + 60. Factor 4 - 2*a**4 - h*a - 13*a**3 + 19*a**3 - a**2 - a**2.
-2*(a - 2)*(a - 1)**2*(a + 1)
Suppose -5*s + 4 = -4*s. Solve 25*z**s - 223*z**5 + 24*z**3 + 227*z**5 + 16*z**2 - 9*z**4 + 4*z = 0 for z.
-1, 0
Factor -19*m**3 + 61*m**3 + 10*m**4 - m**5 + 8*m**2 - 24*m**3 - 35*m**3.
-m**2*(m - 8)*(m - 1)**2
Let l = 376 + -721. Let t be (-6)/4*l/45. Suppose -2 - t*v**3 - 11/2*v**2 + 6*v**4 + 10*v = 0. Calculate v.
-1, 1/4, 2/3, 2
Let o(n) = 7 - 2*n - 12*n**4 - 3 - 14*n**3 + 0 + 6*n. Let u(h) = -h**2 + 2 + h**4 + 1 - 2 + h - 2*h**4. Let m(l) = -o(l) + 4*u(l). Let m(k) = 0. Calculate k.
-2, 0, 1/4
Factor -10 - 6*g**2 - 21 - 5*g + 32.
-(g + 1)*(6*g - 1)
L