-2, 1/3
Suppose 11*b - 48 = 3*b. Suppose -2*n + b = 0, -3*o - 2*n = -n - 9. Factor 0 - 2*t**3 + 8/3*t**o - 2/3*t.
-2*t*(t - 1)*(3*t - 1)/3
Let i(g) be the first derivative of -2*g**5/45 - g**4/9 + 2*g**3/9 + 4*g**2/9 - 8*g/9 - 23. Determine r, given that i(r) = 0.
-2, 1
Let l = 27 + -25. Factor -5*y**2 - 2*y**3 + 2*y**3 + 5*y**3 - y**3 + l*y - y**4.
-y*(y - 2)*(y - 1)**2
Let u(i) be the third derivative of i**6/40 - i**5/150 - i**4/8 + i**3/15 - 182*i**2. Factor u(d).
(d - 1)*(d + 1)*(15*d - 2)/5
Let i be (-2)/(-3) + (-13)/(-39). What is b in 20*b**4 - 16*b + 8*b**5 - 23*b**2 - i + 6*b**3 + 8*b**4 - 2 = 0?
-3, -1/2, 1
Let w(r) be the first derivative of r**5/40 - 3*r**4/16 + 8*r**2 + 11. Let u(y) be the second derivative of w(y). Determine f so that u(f) = 0.
0, 3
Let l(d) be the third derivative of d**9/3024 + d**8/672 - d**7/504 - d**6/72 - 7*d**4/12 - 15*d**2. Let h(c) be the second derivative of l(c). Factor h(y).
5*y*(y - 1)*(y + 1)*(y + 2)
Find o such that -9*o**4 - 845*o**3 + 853*o**3 + 7*o**4 = 0.
0, 4
Let g(x) = -7*x**3 - 10*x**2 + 2*x + 2. Let o(d) = -3*d - 11 - 8*d + 26*d**2 + 24*d**2 + 36*d**3. Let a(r) = 11*g(r) + 2*o(r). Suppose a(k) = 0. Calculate k.
-2, 0
Let z(f) be the second derivative of -f**6/270 - f**5/60 - f**4/54 - 4*f - 5. What is b in z(b) = 0?
-2, -1, 0
Factor 2/3*q**5 - 4/3*q**3 + 0*q**2 + 0*q + 0 - 2/3*q**4.
2*q**3*(q - 2)*(q + 1)/3
Let y be 300/40*(-16)/(-30). Let -9/2*s**y + 0*s + 0 + 6*s**2 + 3/2*s**5 + 0*s**3 = 0. What is s?
-1, 0, 2
Let y(u) be the third derivative of -u**6/300 + 3*u**5/50 + 70*u**2. Factor y(k).
-2*k**2*(k - 9)/5
Let v be ((-2)/(-5))/((-396)/(-330)). Let w(x) be the third derivative of 0 + 4*x**2 - 1/20*x**5 - 2/3*x**3 + v*x**4 + 0*x. Suppose w(p) = 0. What is p?
2/3, 2
Solve -522*q**2 + 1058*q**2 + 20*q + 20*q**3 + 5*q**4 + 140 - 641*q**2 = 0.
-7, -1, 2
Suppose 0*j - 2*k + 14 = 4*j, 5*k = 2*j - 37. Factor j*d**2 + 57*d**3 + 54*d**3 - 114*d**3.
-3*d**2*(d - 2)
Let n(u) = -289*u + 870. Let g be n(3). Factor 2/9 + 7/9*c + 5/9*c**g + 1/9*c**4 + c**2.
(c + 1)**3*(c + 2)/9
Let o be 3190/(-400) + 5 - (-1 - 2). Let i = 127/280 - o. Factor -15/7*k**3 - i - 9/7*k + 27/7*k**2.
-3*(k - 1)**2*(5*k + 1)/7
Let d(v) be the second derivative of -8*v**5/35 - 44*v**4/21 + 47*v**3/21 - 6*v**2/7 - 29*v. Determine t, given that d(t) = 0.
-6, 1/4
Let f(l) be the second derivative of -l**4/27 - 68*l**3/27 - 578*l**2/9 - 2*l. Factor f(r).
-4*(r + 17)**2/9
Factor 20/3*w + 16 - 2/3*w**2.
-2*(w - 12)*(w + 2)/3
Let d(q) be the third derivative of -q**8/252 + q**7/105 + 2*q**6/45 - 13*q**5/90 + 4*q**3/9 - 19*q**2 + 1. Let d(l) = 0. What is l?
-2, -1/2, 1, 2
Let o(x) = -10*x**2 + 15*x - 18. Let v = 175 + -91. Let i = 48 - v. Let f(s) = -s**2 + s - 1. Let w(a) = i*f(a) + 4*o(a). Determine n so that w(n) = 0.
3
Let a = -2/237 + 415/21093. Let d = a + 263/356. Factor -15/2*o + d*o**2 + 75/4.
3*(o - 5)**2/4
Factor 4*k**4 + 0*k + 40/11*k**2 + 82/11*k**3 + 0 + 2/11*k**5.
2*k**2*(k + 1)**2*(k + 20)/11
Factor -184/7*q**2 - 158/7*q + 44/7 + 18/7*q**3.
2*(q - 11)*(q + 1)*(9*q - 2)/7
Suppose -5*x = x + 18. Let l be x - -1 - (-3 - 1). Factor 4*a**2 - l*a**2 - 2*a - 4 + 4*a.
2*(a - 1)*(a + 2)
Factor 56 + 588*l**2 + 3*l**4 - 56 - 28*l**3 - 56*l**3.
3*l**2*(l - 14)**2
Let t(q) be the second derivative of -q**5/4 - 135*q**4/4 - 2665*q**3/2 + 8405*q**2/2 + 6*q - 1. Find k, given that t(k) = 0.
-41, 1
Let -46/3 - 9/2*n**2 + 1/6*n**3 + 16*n = 0. What is n?
2, 23
Let c(r) be the third derivative of -r**9/5040 - r**8/1050 - r**7/1050 - 16*r**3/3 - 8*r**2 + 2*r. Let z(s) be the first derivative of c(s). Factor z(q).
-q**3*(q + 2)*(3*q + 2)/5
Let a = 192 - 188. Let s(h) be the first derivative of 1/10*h**5 - 3/4*h**a - 6 + 13/6*h**3 - 3*h**2 + 2*h. Let s(u) = 0. Calculate u.
1, 2
Let r(b) be the third derivative of 1/945*b**7 + 1/1512*b**8 - 1/135*b**5 + 1/108*b**4 + 0*b + 0 - 22*b**2 - 1/270*b**6 + 1/27*b**3. Factor r(n).
2*(n - 1)**2*(n + 1)**3/9
Suppose 0 = 32*p - 26*p - 96. Let k be 4 - (p/(-30))/((-6)/36). Factor 0 - 2/5*q**4 + 4/5*q**3 - k*q + 2/5*q**2.
-2*q*(q - 2)*(q - 1)*(q + 1)/5
Let t(p) = p**3 + 2*p**2 - 2*p - 73. Let l be t(0). Let a = l - -75. Solve 2/3*n**4 + 4*n + 16/3*n**a - 4*n**3 - 6 = 0.
-1, 1, 3
Let t(k) be the third derivative of k**5/15 + 13*k**4/3 - 101*k**2 + 3*k. Find h such that t(h) = 0.
-26, 0
Factor 22*y**2 - 230*y - 47*y**2 + 4*y**3 + 0*y**3 + y**3 - 200.
5*(y - 10)*(y + 1)*(y + 4)
Let 49*k + 58*k + 2*k + 55*k**2 + 5*k**3 - 180 + 24*k - 13*k = 0. Calculate k.
-6, 1
Let b(a) be the third derivative of -a**6/40 - 3*a**5/10 - 11*a**4/8 - 3*a**3 - 2*a**2 - 32. Factor b(x).
-3*(x + 1)*(x + 2)*(x + 3)
Let x(c) be the first derivative of -2*c**3/33 + 81*c**2/11 + 164*c/11 + 236. Factor x(m).
-2*(m - 82)*(m + 1)/11
Let n(y) be the first derivative of -7*y**6/60 - y**5/10 + y**4/20 + 67. Find h such that n(h) = 0.
-1, 0, 2/7
Suppose -59*x + 62*x - 14 = z, x - 8 = z. Suppose 4/3*q**2 + 4/9*q**4 + 0 + 4/9*q + 4/3*q**x = 0. Calculate q.
-1, 0
Suppose 10*b = -7 - 13. Let d be 20/15*(-3)/b*1. Solve 8/3*p - 2*p**3 + 8/3*p**d + 0 = 0 for p.
-2/3, 0, 2
Let t(s) be the third derivative of 0*s + 0 - 1/160*s**6 + 0*s**5 - 39*s**2 + 3/32*s**4 + 1/4*s**3. Factor t(u).
-3*(u - 2)*(u + 1)**2/4
Let n(r) = 14*r**2 + 90*r + 22. Let u be (2 + -4)/(3/3). Let b(q) = -14*q**2 - 91*q - 21. Let j(a) = u*b(a) - 3*n(a). Factor j(o).
-2*(o + 6)*(7*o + 2)
Let p(y) be the third derivative of 4*y**7/105 + 7*y**6/30 + 3*y**5/5 + 5*y**4/6 + 2*y**3/3 + 134*y**2. Factor p(z).
4*(z + 1)**3*(2*z + 1)
Suppose 0 = -5*r - 93 - 82. Let t(m) = 9*m**2 - 39*m - 4. Let v(u) = -80*u**2 + 350*u + 35. Let l(b) = r*t(b) - 4*v(b). Suppose l(a) = 0. What is a?
0, 7
Let j(l) = -l**2 - 8*l - 2. Let h be j(-8). Let n be ((-22)/44)/(h/8). Factor -21/4*w**3 + 0 + 3/2*w - 15/4*w**n.
-3*w*(w + 1)*(7*w - 2)/4
Let o(c) be the third derivative of -c**9/12096 + c**8/6720 + c**7/1680 - 5*c**3/2 - 12*c**2. Let f(u) be the first derivative of o(u). Factor f(r).
-r**3*(r - 2)*(r + 1)/4
Let i(n) be the second derivative of 1/4*n**2 + 1/10*n**5 - 7/24*n**4 + 0 + 5*n + 1/6*n**3. Let i(y) = 0. What is y?
-1/4, 1
Suppose 0 = 18*h - 15*h. Let j(w) be the first derivative of -6 + 0*w + h*w**2 - 2/21*w**3. Let j(q) = 0. Calculate q.
0
Let x(m) be the first derivative of 4*m**5/5 + 14*m**4 - 64*m**3/3 - 28*m**2 + 60*m + 511. Determine i so that x(i) = 0.
-15, -1, 1
Suppose 0 = -4*n + 2 + 6. Factor 6*i**4 - 2 + 5*i**5 - 5*i - 4*i**5 + 4*i**3 + 0 - n*i**2 - 2*i**4.
(i - 1)*(i + 1)**3*(i + 2)
Let j = 24 - 22. Let v(b) be the second derivative of b - 1/15*b**4 - 1/100*b**5 - 1/5*b**j - 1/6*b**3 + 0. Find r such that v(r) = 0.
-2, -1
Factor -23 + 2*t**2 - t**4 - 5*t**2 + 3*t**2 - 27*t + 5 - t**2 + 7*t**3.
-(t - 6)*(t - 3)*(t + 1)**2
Let f(i) be the second derivative of i**7/147 - 2*i**5/35 + i**4/21 + i**3/7 - 2*i**2/7 + i + 7. Solve f(c) = 0 for c.
-2, -1, 1
Determine u, given that 3*u**2 + 0*u**2 + 52*u - 2*u**2 + 43*u - 91*u = 0.
-4, 0
Let k(y) = 18*y**2 + 8*y - 19. Let n be k(-11). Let h = -16517/8 + n. Let -12*w - h*w**4 - 2 - 35/2*w**3 - 22*w**2 - 7/8*w**5 = 0. Calculate w.
-2, -1, -2/7
Let r = 19051/2 + -9525. Determine m, given that r*m**3 + 0 - 1/2*m + 0*m**2 = 0.
-1, 0, 1
Let q = -2419 - -16945/7. Let q*h**4 - 40/7*h**3 - 24/7*h + 48/7*h**2 + 4/7 = 0. Calculate h.
1/3, 1
Let h(v) be the first derivative of v**8/1512 - v**7/315 + v**6/270 + 14*v**2 - 36. Let j(n) be the second derivative of h(n). Factor j(s).
2*s**3*(s - 2)*(s - 1)/9
Let y = -1593/5 + 319. Let k(b) be the second derivative of y*b**5 + 0*b**2 - 4*b + 0 - 1/7*b**7 + 2/15*b**6 - 1/3*b**4 - 1/3*b**3. Let k(a) = 0. Calculate a.
-1, -1/3, 0, 1
Factor 8 - 1/3*j**3 - 11/3*j**2 + 14/3*j.
-(j - 2)*(j + 1)*(j + 12)/3
Suppose 0 = 5*m - 4*v, 5*m - v - 30 = -3*v. Suppose 2*y = 8 + m. Factor 102*t**2 + 3*t**4 - y*t**4 - 99*t**2.
-3*t**2*(t - 1)*(t + 1)
Let d(y) be the third derivative of 0 + 0*y + 0*y**3 + 12*y**2 - 1/525*y**7 + 1/100*y**6 + 1/60*y**4 - 1/50*y**5. Suppose d(n) = 0. Calculate n.
0, 1
Let t(l) = l - 2 - 1 + 7 - 2*l**2 + 1. Let v(c) = c**2 - c - 3. Suppose 0 = -5*z - 5 - 10. Let b(g) = z*t(g) - 5*v(g). Factor b(d).
d*(d + 2)
Factor -112/5 - 4/5*t**2 - 64/5*t.
-4*(t + 2)*(t + 14)/5
Suppose -5*u + 32 = -3*f, 0*u - 2*f - 16