be the second derivative of u(d). Factor q(n).
4*(n - 1)*(n + 2)
Let t(j) = 8*j**3 + 48*j**2 - 66*j + 12. Let d(s) = 8*s**3 + 49*s**2 - 65*s + 11. Let w(q) = 4*d(q) - 6*t(q). Factor w(v).
-4*(v - 1)*(v + 7)*(4*v - 1)
Let m be (-171)/(-60) + -3 - (-12)/30. Let d(q) = 3*q - 3. Let c be d(2). Factor 0 + 0*n**2 - 1/4*n**c + 1/2*n**4 - m*n**5 + 0*n.
-n**3*(n - 1)**2/4
Let y be 5/20*-1 + (-33)/(-4). Let l be 15/(-70)*y/(-3). Factor 2/7*v**2 + 2/7*v - l.
2*(v - 1)*(v + 2)/7
Factor -109/4*d**2 + 195/2*d**3 - 13*d - 1 - 225/4*d**4.
-(d - 1)**2*(15*d + 2)**2/4
Let y(j) be the first derivative of 0*j + 54 - 4*j**2 + 4*j**3 - 4/5*j**5 + 0*j**4. Factor y(n).
-4*n*(n - 1)**2*(n + 2)
Let i = 21 - 19. Factor 255 + p**i - 253 - 3*p + 0*p.
(p - 2)*(p - 1)
Suppose -16/3*v - 50/3*v**3 + 0 + 52/3*v**2 + 8/3*v**4 + 2*v**5 = 0. Calculate v.
-4, 0, 2/3, 1
Let m be 7*(-10)/30*18/(-84). What is h in 2*h**3 + 4*h**2 + 0*h - h**4 - m*h**5 + 0 = 0?
-2, 0, 2
Suppose 6/5 - 3*o**3 + 7*o + 47/5*o**2 - 9/5*o**4 = 0. Calculate o.
-3, -1/3, 2
Let -1352*n**2 - 6*n - 22*n + 1351*n**2 = 0. Calculate n.
-28, 0
Factor 4 - 8/5*u - 1/5*u**2.
-(u - 2)*(u + 10)/5
Let x be -6*(1/(-3))/(1/1). Determine r so that 6*r - 137 + 125 + 10*r - 4*r**x = 0.
1, 3
Suppose -4*f + 9 = -5*v, 4*f = 4*v + 4 + 8. Let l(z) be the third derivative of -2/135*z**5 - 1/36*z**4 - 1/540*z**f + 0*z**3 + 10*z**2 + 0*z + 0. Factor l(y).
-2*y*(y + 1)*(y + 3)/9
Let s(u) = -2*u**3 - 28*u**2 - 171*u - 150. Let x(f) = f**3 - f**2 + 3. Let m(w) = -s(w) - 5*x(w). Factor m(t).
-3*(t - 15)*(t + 1)*(t + 3)
Let c(y) be the first derivative of -y**4/26 - 44*y**3/39 - 121*y**2/13 + 219. Find z, given that c(z) = 0.
-11, 0
Let z(c) be the second derivative of -c**7/42 - c**6/15 + c**5/20 + c**4/6 - 44*c. Let z(t) = 0. What is t?
-2, -1, 0, 1
Factor 0*a + 2/7*a**4 - 2/7*a**5 - 2/7*a**2 + 2/7*a**3 + 0.
-2*a**2*(a - 1)**2*(a + 1)/7
Factor 2/7*x**5 - 4/7*x**2 + 22/7*x**4 + 36/7*x**3 - 38/7*x - 18/7.
2*(x - 1)*(x + 1)**3*(x + 9)/7
Factor -2*h**4 + 73*h**2 + 8*h**2 - 93*h + 36 + 9932*h**3 - 9959*h**3 + 5*h**4.
3*(h - 4)*(h - 3)*(h - 1)**2
Let i(u) = 13*u**2 + 35*u - 494. Let y(j) = -80*j**2 - 210*j + 2965. Let q(a) = -25*i(a) - 4*y(a). What is s in q(s) = 0?
-14, 7
Factor 3/8*f**4 + 84*f**2 + 0 - 87/8*f**3 - 147/2*f.
3*f*(f - 14)**2*(f - 1)/8
Let a(p) be the first derivative of -p**3/12 - 7*p**2/2 - 27*p/4 - 67. Factor a(u).
-(u + 1)*(u + 27)/4
Let v = -1405 + 1405. Let k(p) be the second derivative of -3/16*p**4 + 9*p + v*p**2 - 3/80*p**5 + 0 - 1/4*p**3. Determine h, given that k(h) = 0.
-2, -1, 0
Let u(p) = -p**3 + 11*p**2 - 28*p + 35. Let w be u(8). What is t in -1/3*t**2 - 13/6*t**4 + 0*t + 14/3*t**5 - 13/6*t**w + 0 = 0?
-2/7, -1/4, 0, 1
Let g(r) be the second derivative of r**4/36 + 106*r**3/9 + 5618*r**2/3 - 117*r. Let g(l) = 0. Calculate l.
-106
Let a(i) be the first derivative of -i**6/18 + 13*i**5/15 + 5*i**4/4 - 13*i**3/9 - 7*i**2/3 + 501. Suppose a(s) = 0. Calculate s.
-1, 0, 1, 14
Find q, given that -576*q - 368*q**2 + 1730*q**2 + 960*q**3 - 28*q**4 + 382*q**2 = 0.
-2, 0, 2/7, 36
Let k = -7 - -10. Find o such that 3*o**3 + 5*o**3 + 5*o**2 - 3*o**k + 5*o**2 = 0.
-2, 0
Let a(g) be the first derivative of 6*g - 1/10*g**5 + g**2 + 1/3*g**3 - 1/6*g**4 - 4. Let z(h) be the first derivative of a(h). Suppose z(r) = 0. What is r?
-1, 1
Let m = 12 + -8. Let l(c) = -2*c - 9. Let p be l(-7). Suppose -p + 5*j**2 + 3*j**4 + 1 - m*j**4 = 0. Calculate j.
-2, -1, 1, 2
Let o(v) = 11*v**3 + 65*v**2 + 138*v + 79. Let c(j) = -17*j**3 - 98*j**2 - 207*j - 118. Let q(n) = -5*c(n) - 8*o(n). Determine d, given that q(d) = 0.
-7, -2, -1
Let q be ((-32)/24)/(8 - 136/12). Factor -4/15 - 2/15*g**2 - q*g.
-2*(g + 1)*(g + 2)/15
Find d, given that 7/3*d**5 + 283/3*d**3 - 86/3*d**4 - 368/3*d**2 + 196/3*d - 32/3 = 0.
2/7, 1, 2, 8
Let u(l) = 3*l - 25. Let h be u(5). Let b be 162/(-45)*(-1)/((-8)/h). Find d, given that -b + 9/4*d**2 - 21/4*d = 0.
-2/3, 3
Let i(v) be the second derivative of -8/21*v**3 + 5/28*v**4 + 0 - 40*v + 2/7*v**2. Determine w so that i(w) = 0.
2/5, 2/3
Let u(h) be the second derivative of 2*h**6/15 - 4*h**5/5 + 2*h**4/3 + 8*h**3/3 - 6*h**2 + 9*h + 5. Factor u(x).
4*(x - 3)*(x - 1)**2*(x + 1)
Let q = 1551/12344 - 1/1543. Let n(i) be the first derivative of -4 + q*i**2 + 0*i + 1/12*i**3. Factor n(g).
g*(g + 1)/4
Let a(x) be the second derivative of -4/21*x**3 + 0*x**2 - x + 14 - 1/6*x**4 - 3/70*x**5. Solve a(l) = 0.
-4/3, -1, 0
Suppose 2*k = 15*a - 11*a - 14, 0 = -2*k + 2*a - 4. Let h(r) be the second derivative of -4*r + 0 + 1/9*r**4 - 4/3*r**2 + 2/9*r**k. Factor h(f).
4*(f - 1)*(f + 2)/3
Let l(z) be the first derivative of z**5/240 - z**4/48 + z**3/24 - 21*z**2 + z + 42. Let v(i) be the second derivative of l(i). Factor v(n).
(n - 1)**2/4
Let v(o) = -69*o**3 + o**2 + o. Let m be v(-1). Factor -745*s + 3 + 6*s**2 + m*s**2 + 715*s.
3*(5*s - 1)**2
Let c(t) be the first derivative of -2*t**3 - 10*t**2 - 16*t - 31. Factor c(n).
-2*(n + 2)*(3*n + 4)
Suppose 3*q + 6 = -m - 0, -q - 2 = m. Let l be ((-2)/10)/(27/(-30) - m). Suppose -l*v**4 + 2/3*v**3 + 0 - 2/3*v**2 + 2/9*v = 0. What is v?
0, 1
Find s, given that -2/11*s**5 + 0*s - 4/11*s**2 + 0 + 4/11*s**4 + 2/11*s**3 = 0.
-1, 0, 1, 2
Let h(n) be the first derivative of -7*n**3/3 + 23*n**2/2 - 6*n - 219. Solve h(r) = 0.
2/7, 3
Suppose 0 = 3*v - 6 - 36. Suppose 4 = -5*g + v. Factor -2*m**4 - m**3 + 2*m**g + m**4 + 4*m**2 + 5*m - 3*m**2 + 2.
-(m - 2)*(m + 1)**3
Let o(q) = -9*q**4 + 78*q**3 - 351*q**2 + 498*q - 222. Let f(m) = -m**4 + m**3 - 1. Let r(x) = 6*f(x) - o(x). Factor r(v).
3*(v - 18)*(v - 4)*(v - 1)**2
Let l = 5923/3 - 1974. Factor -2/3*m**3 - 2/3*m**4 + l*m**2 - 1/6*m**5 + 1/3 + 5/6*m.
-(m - 1)*(m + 1)**3*(m + 2)/6
Let y(v) be the second derivative of -v**5/160 + 5*v**4/32 - v**3 - 4*v**2 + 4*v - 19. Factor y(u).
-(u - 8)**2*(u + 1)/8
Let k(z) be the first derivative of -3/16*z**4 + 0*z + 3 + 3/4*z**2 + 1/4*z**3. Factor k(m).
-3*m*(m - 2)*(m + 1)/4
Factor 330/7*f**2 - 48/7*f**3 - 484/7*f + 0 + 2/7*f**4.
2*f*(f - 11)**2*(f - 2)/7
Let t(p) be the first derivative of 4*p**3/3 + p**2 + p - 4. Let k be t(-1). Suppose 0*g**2 - 2*g**2 + 2*g**k + 2 + 2*g**3 - 5*g + g**3 = 0. Calculate g.
-1, 2/5, 1
Let n(j) be the first derivative of 1/6*j**4 + 0*j + 1/3*j**2 + 5 + 20/27*j**3. Find f such that n(f) = 0.
-3, -1/3, 0
Let o(k) = -1913*k**2 - 185*k + 33. Let w(m) = 5735*m**2 + 555*m - 100. Let y(n) = -10*o(n) - 3*w(n). What is i in y(i) = 0?
-2/11, 3/35
Let f(n) = 818*n - 13904. Let p be f(17). Solve -z - 1/2*z**4 + z**3 - 3/2 + p*z**2 = 0.
-1, 1, 3
Let g(a) = 4*a**3 - 9*a**2 - 22*a - 7. Let r(d) = 3*d**3 - 9*d**2 - 21*d - 6. Let y(x) = -x + 11. Let j be y(13). Let z(q) = j*r(q) + 3*g(q). Factor z(s).
3*(s - 3)*(s + 1)*(2*s + 1)
Let i = 229/2 + -114. Let x(a) be the first derivative of -4 + 1/2*a**4 - a**3 - i*a - 1/10*a**5 + a**2. Suppose x(u) = 0. What is u?
1
Let r be 815/4*(-5)/25. Let g = 41 + r. Factor -g*h + 1/4*h**3 - 1/4*h**2 + 0 + 1/4*h**4.
h*(h - 1)*(h + 1)**2/4
Let h(o) = -4*o**2 + 10*o + 10. Let t be h(-3). Let v = -54 - t. Solve w + 0 + 1/3*w**v = 0 for w.
-3, 0
Let w(y) be the third derivative of 0*y**6 - 1/1260*y**7 + 0*y**4 + 0 + 0*y - y**2 + 1/180*y**5 - 1/36*y**3. Determine u, given that w(u) = 0.
-1, 1
Suppose 2 = 7*q - 12. Find a such that 20 - 47*a**2 - 35*a + 12*a**q - 5*a + 25*a**3 = 0.
-1, 2/5, 2
Let u(s) = 4*s**4 + 40*s**3 + 84*s**2 + 92*s + 24. Let v(f) = -3*f**2 + f - 1. Let k(p) = u(p) - 4*v(p). Solve k(i) = 0 for i.
-7, -1
Let g(w) be the first derivative of 10*w**3/3 - 18*w**2 - 16*w - 528. Factor g(c).
2*(c - 4)*(5*c + 2)
Let w(q) be the first derivative of -2*q**3/15 - 12*q**2 + 248*q/5 + 226. Factor w(t).
-2*(t - 2)*(t + 62)/5
Let o(r) = -2*r**4 - 11*r**3 + 8*r + 5. Let u(q) = -2*q**4 - 12*q**3 + 8*q + 6. Let z(b) = 6*o(b) - 5*u(b). Factor z(p).
-2*p*(p - 1)*(p + 2)**2
Suppose -4*g = -4*q - 12, 8 + 1 = -2*g - 3*q. Suppose -8*i + 402 - 162 = g. Let 27*b**2 - 21/2*b**3 - i*b + 3/2*b**4 + 12 = 0. What is b?
1, 2
Let h(v) be the first derivative of -v**6/72 + v**5/24 + 5*v**4/12 + 5*v**3/3 - 2. Let l(z) be the third derivative of h(z). Factor l(c).
-5*(c - 2)*(c + 1)
Let 28*d**2 + 16*d**3 + 1/2*d**5 + 24*d + 9/2*d**4 + 8 = 0. What is d?
-2, -1
Let h = 1381/835 + -9/1