b) be the first derivative of -11 - 1/2*b**4 + 0*b + v*b**2 + 2/3*b**3. Find y such that u(y) = 0.
0, 1
Let o(m) be the second derivative of m**7/1260 + m**6/324 + m**5/270 - 5*m**3/3 + 12*m. Let u(y) be the second derivative of o(y). Find a, given that u(a) = 0.
-1, -2/3, 0
Let f be (-2)/(-6) - 1876/(-42). Solve 242*v**5 - 17 + 313*v**2 + 89 - 551*v**4 - 336*v + 121*v**2 + 94*v**3 + f*v**4 = 0.
-1, 6/11, 1
Find u such that 4*u**4 + 55 + 0*u**4 - 115 - 40*u + u**4 + 55*u**2 + 40*u**3 = 0.
-6, -2, -1, 1
Let b be (3 + -1)/1*551. Factor -b*z - z**5 + 3*z**4 + 1102*z - 2*z**3.
-z**3*(z - 2)*(z - 1)
Let p(s) be the third derivative of -s**8/168 - s**7/35 + 7*s**6/60 + 7*s**5/30 - 3*s**4/2 + 8*s**3/3 + 4*s**2 - 6*s. Factor p(o).
-2*(o - 1)**3*(o + 2)*(o + 4)
Let x(d) be the third derivative of 3/2*d**3 - 1/48*d**5 + d**2 + 0*d + 1/144*d**6 + 0*d**4 + 0. Let r(g) be the first derivative of x(g). Factor r(f).
5*f*(f - 1)/2
Let g = 527/370 + 14/185. Factor 3/2*o**2 + 0 - o**3 - g*o**4 + o.
-o*(o - 1)*(o + 1)*(3*o + 2)/2
Let l(c) = -5*c**3 + 10*c**2 - 3*c. Let f(h) = -9*h**2 - 7*h**2 + 5*h**3 - 4*h**2 + 5*h**3 + 7*h. Let n(i) = 3*f(i) + 7*l(i). Let n(m) = 0. What is m?
0, 2
Suppose -32*f - 30 = -47*f. Let w be (-2 - -5)/(-6) + 1. Factor -q**3 - 11/4*q + 13/4*q**f + w.
-(q - 2)*(q - 1)*(4*q - 1)/4
Suppose 3*c - 8 = -20, c + 4 = -2*n. Let d(f) be the third derivative of 0 + 1/4*f**4 - 1/60*f**6 - 3*f**2 + n*f**5 + 0*f + 2/3*f**3. What is p in d(p) = 0?
-1, 2
Let b(x) be the first derivative of -x**8/336 - x**7/210 - x**6/450 - x**3 + 4. Let y(k) be the third derivative of b(k). Determine a, given that y(a) = 0.
-2/5, 0
Suppose -46*u - 4 = -48*u. Suppose 2*y + u*v - 8 = v, -4 = 2*y - 5*v. Factor 1/4*s**5 - 1/4*s**y - 1/2*s**4 + 0 + 0*s + 1/2*s**2.
s**2*(s - 2)*(s - 1)*(s + 1)/4
Let k(c) = 46*c**3 - 36*c**2 + 17*c - 6. Let g(r) = -45*r**3 + 35*r**2 - 15*r + 5. Let w(p) = 6*g(p) + 5*k(p). Factor w(a).
-5*a*(2*a - 1)*(4*a - 1)
Let k be 4*((-295)/20 + 1). Let g = k + 55. Factor 0*w**3 + g + 1/4*w**5 + 0*w + 0*w**2 - 1/4*w**4.
w**4*(w - 1)/4
Let -1/3*m**2 + 2/3*m + 8/3 = 0. What is m?
-2, 4
Let g = -4 + 6. Let n(o) = o**3 - 4*o**2 - 6*o + 12. Let u be n(5). Factor t - 3*t**g + 3*t + u*t + 0*t - 6.
-(t - 3)*(3*t - 2)
Let b(n) be the second derivative of n**6/60 + n**5/5 + n**4/2 + 260*n. Find c, given that b(c) = 0.
-6, -2, 0
Let z = 100 + -90. Let q be (2/z)/1 - 27/(-45). Determine g so that 4/5*g - 8/5*g**2 + 0 + q*g**3 = 0.
0, 1
Determine c so that 15/4 - 7/2*c + 7/2*c**3 + 1/4*c**4 - 4*c**2 = 0.
-15, -1, 1
Let l(k) = 8*k**2 - 128. Let g(v) = -3*v**2 + 43. Suppose 0 = 6*b - 20*b + 28. Let i(u) = b*l(u) + 7*g(u). Factor i(t).
-5*(t - 3)*(t + 3)
Determine t, given that 0 - 7/4*t**2 - 1/2*t = 0.
-2/7, 0
Let k be 5/4 - (-117)/156. Let u(o) be the second derivative of 0 - 1/5*o**3 - 3/10*o**k + 7*o - 3/25*o**5 + 7/20*o**4. Factor u(i).
-3*(i - 1)**2*(4*i + 1)/5
Let s = -9529 - -9532. Factor 1/2*j**s + 15/2*j - 7/2*j**2 - 9/2.
(j - 3)**2*(j - 1)/2
Let i be ((-15)/(-40) + 9/(-24))/1. Let b(u) be the third derivative of 4/3*u**3 - 2/105*u**7 + i*u - 3*u**2 + 1/5*u**5 - 1/30*u**6 + 5/6*u**4 + 0. Factor b(s).
-4*(s - 2)*(s + 1)**3
Suppose 3*j - 2*y - 2 = 0, 15 - 11 = -4*j - 4*y. Factor 3/2*h - 3/4*h**4 + j*h**2 + 3/4 - 3/2*h**3.
-3*(h - 1)*(h + 1)**3/4
Let f(o) = -175 - 8*o + 0*o + o**3 + 2*o + 172 + 4*o**2. Let k be f(-5). Find x such that 3/5*x**5 - 48/5*x**k - 6/5 + 42/5*x**3 + 27/5*x - 18/5*x**4 = 0.
1, 2
Let a(p) be the third derivative of 0 + 1/30*p**5 + 0*p**3 + 1/420*p**7 - 1/60*p**6 + 0*p**4 + 0*p + 22*p**2. Let a(y) = 0. Calculate y.
0, 2
Let r(g) = -g + 13. Let v = -10 + 19. Let t be r(v). Find h, given that -5*h**2 + h**3 + 4*h**2 + 4*h**2 - t*h**3 = 0.
0, 1
Determine n so that -16 + 2*n**4 + 11*n - 17*n - 19*n**2 - 30*n - 3*n**2 = 0.
-2, -1, 4
Let v(b) = b - 2. Let x be v(5). Suppose -x*m + 21 = -g, 0*m + 4*g - 28 = -2*m. Determine u so that 16*u - 5 + 0*u**2 + 2 - m*u**2 - 3 = 0.
1/2, 3/2
Let h(d) be the third derivative of 1/112*d**8 + 0*d**3 - 4/35*d**7 + 14*d**2 + 0 + 9/8*d**4 + 11/20*d**6 + 0*d - 6/5*d**5. Factor h(r).
3*r*(r - 3)**2*(r - 1)**2
Let b(i) = -i + 3*i**2 + 0 - 2 - 2*i**2. Suppose 4*r + 5*c = -3, -1 = -2*r - c + 2. Let d(t) = 1. Let s(g) = r*b(g) + 6*d(g). What is x in s(x) = 0?
0, 1
Let l(n) be the third derivative of n**8/588 + 2*n**7/105 - 13*n**6/42 + 157*n**5/105 - 76*n**4/21 + 104*n**3/21 - 170*n**2. Let l(d) = 0. What is d?
-13, 1, 2
Let x(t) be the third derivative of 0*t + 0 + 1/360*t**6 + 0*t**4 + 1/1890*t**7 + 1/270*t**5 + 0*t**3 + 42*t**2. Factor x(d).
d**2*(d + 1)*(d + 2)/9
Let k(p) be the first derivative of p**6/480 - p**5/40 + 3*p**4/32 + 10*p**3/3 - 14. Let n(x) be the third derivative of k(x). Find o, given that n(o) = 0.
1, 3
Let 67 + 71*n - 4*n**2 + 8*n + 13*n + 29 = 0. What is n?
-1, 24
Factor -3*x**5 + 9*x**3 - 20*x**4 + 11214*x**2 + 8*x**5 + 16*x**3 - 11224*x**2.
5*x**2*(x - 2)*(x - 1)**2
Find o, given that 4/3*o**2 + 16 - 28/3*o = 0.
3, 4
Let n(d) be the second derivative of 0*d**2 + 1/24*d**4 + 0 + 1/6*d**3 + 8*d - 1/60*d**6 - 1/20*d**5. Find l such that n(l) = 0.
-2, -1, 0, 1
Let f(b) be the third derivative of -1/80*b**6 + 0*b**4 + 0*b + 0 - 9*b**2 + 1/280*b**7 + 0*b**3 + 1/80*b**5. Factor f(d).
3*d**2*(d - 1)**2/4
Suppose -2*x + 0 = -6. Suppose 3*c - 21 = 3*l, -5*c - l = -x*c + 1. Find s, given that -3*s**3 + 3/2*s**4 + 3*s + 0*s**c - 3/2 = 0.
-1, 1
Let h(s) be the second derivative of -625/2*s**2 + 54*s**5 - 225*s**4 + 0 + 19*s + 375*s**3. Solve h(v) = 0.
5/6
Let v(i) = i**2 - 23*i. Let t(l) = -l**3 - l**2 - 4*l - 7. Let p be t(-3). Let g be v(p). Factor 4/5*b**4 + 0*b**2 + 2/5*b**5 + 0 + g*b + 2/5*b**3.
2*b**3*(b + 1)**2/5
Let g(j) be the first derivative of -24*j**5/5 + 5*j**4 + 56*j**3/3 + 627. Factor g(z).
-4*z**2*(z - 2)*(6*z + 7)
Let y(q) be the first derivative of 5/2*q**2 + 23 - 11/3*q**3 + 3*q + 3/4*q**4. Factor y(b).
(b - 3)*(b - 1)*(3*b + 1)
Let i = 2480 - 2478. Let c(w) be the first derivative of -9 - 5*w**i - 25*w - 1/3*w**3. Factor c(g).
-(g + 5)**2
Suppose 5*a - 9 = 6. Suppose -k - 3*k + 4*u = 0, -k = -a*u + 4. Factor 2/3*w**k - 4/9*w - 2/9.
2*(w - 1)*(3*w + 1)/9
Factor 33*a + 1089 + 1/4*a**2.
(a + 66)**2/4
Let t(n) be the third derivative of n**5/195 + 5*n**4/156 - 4*n**3/13 + 67*n**2. Solve t(b) = 0.
-4, 3/2
Suppose 0 + 1/4*n**2 - 1/4*n = 0. What is n?
0, 1
Let o(z) be the second derivative of 1/120*z**5 + 1/36*z**4 - 1/8*z**2 + 27*z - 1/360*z**6 - 1/36*z**3 + 0. What is g in o(g) = 0?
-1, 1, 3
Suppose 0 = -10*v - 18*v - 84. Let k be v/4*24/(-18). Determine g, given that g**2 + 1/2*g**3 - k - 1/2*g = 0.
-2, -1, 1
Factor -44*n + 470*n - 133*n + 3*n**2 - 119*n.
3*n*(n + 58)
Let u = 21 + -14. Solve -u*o**2 - 12*o**3 + 7 + o + 13*o**3 - 2*o = 0 for o.
-1, 1, 7
Let d = -2372 - -2375. Solve 2/11*i**5 + 0*i + 4/11*i**2 - 2/11*i**d + 0 - 4/11*i**4 = 0.
-1, 0, 1, 2
Suppose 2*d + 2*g = d, 4*d - 55 = 3*g. Let y be ((-24)/d)/(15/(-50)) + -3. Determine o, given that 0 + 5/6*o**4 + 0*o - 1/6*o**3 - 1/2*o**y - 1/6*o**2 = 0.
-1/3, 0, 1
Let y(h) be the third derivative of 19/44*h**4 - 15*h**2 + 6/11*h**3 + 0*h + 0 + 1/132*h**6 + 16/165*h**5. Solve y(f) = 0 for f.
-3, -2/5
Let l be -25 - 3*(-846)/90. What is d in -4/5*d**2 + l*d**3 + 0 + 0*d - 7/5*d**4 = 0?
0, 2/7, 2
Let c = -4321 - -21614/5. Factor 3/5*y + c*y**2 + 9/5*y**3 + 3/5*y**4 + 0.
3*y*(y + 1)**3/5
Let h(b) = -b**2 + b + 1. Let p(t) = -3*t**3 - 15*t**2 - 48*t - 30. Let l(g) = 6*h(g) + p(g). Factor l(r).
-3*(r + 1)*(r + 2)*(r + 4)
Let a(d) be the third derivative of -d**7/105 - 7*d**6/60 + 14*d**5/15 - 5*d**4/3 + 2*d**2 + 126. Determine p so that a(p) = 0.
-10, 0, 1, 2
Let q be 28/(-126)*3 - 50/(-21). Let j(g) be the first derivative of -1/7*g**3 - q*g + 2 + 6/7*g**2. Factor j(c).
-3*(c - 2)**2/7
Let g = 68 - 44. Let o be ((-8)/3 + 3)*g. Let 3*l**3 + 6*l**2 - o + 2*l**4 + 0 + 5*l**3 - 8*l = 0. What is l?
-2, -1, 1
Let f(o) be the first derivative of -8*o + 4/3*o**3 - 13 + 2*o**2. Determine c, given that f(c) = 0.
-2, 1
Suppose 6*y = -4*y - 40. Let p(b) = 2*b**4 - 2*b**3 - 2. Let n(g) = -4*g**4 + 4*g**3 - g**2 + g + 5. Let a(r) = y*n(r) - 10*p(r). Determine k so that a(k) = 0.
-1, 0, 1
Let c be 1 + 8 + 1 + -4. Determine b, given that -4*b**2 + c + 8 