2 - 5*f**3/6 - 14*f**2 + 26. Let a(i) be the second derivative of y(i). Factor a(z).
5*(z - 1)*(z + 1)
Suppose -3*s + 2*z + 207 + 152 = 0, 5*s + 2*z - 593 = 0. Suppose 5*c = -29 + s. What is y in 2 - 2 - 24*y**4 - 20*y**3 + 9*y**5 + c*y**4 - 8*y**2 = 0?
-2/3, 0, 2
Factor 4/5*c**2 + 0 - 148/5*c.
4*c*(c - 37)/5
Let r(d) = d**3 + 17*d**2 - 18*d + 8. Let n be r(-18). Factor -3*j + 190*j**2 + 15*j - 186*j**2 + n.
4*(j + 1)*(j + 2)
Let z be (0/3 - -6)/2. Let v be -2 - (27/(-3) + z). Suppose -3*b**3 - b**2 + 2*b**5 + b**5 + 2*b**v + b**4 - 2*b**2 = 0. Calculate b.
-1, 0, 1
Factor -11532/7*q - 119164/7 - 4/7*q**3 - 372/7*q**2.
-4*(q + 31)**3/7
Let m = -27 + 44. Let u(w) = -w**2 + 20*w + 49. Let l be u(22). Find f such that 12*f + 2*f + l + 6*f**2 - m = 0.
-3, 2/3
Let -32/5 + 2/5*o**4 + 6*o**2 - 4*o**3 + 4*o = 0. What is o?
-1, 1, 2, 8
Let x = 10 - 3. Let p be 76/(-28) + 2/(-7). Let j(b) = 11*b**2 + 7*b - 4. Let z(i) = 5*i**2 + 3*i - 2. Let s(w) = p*j(w) + x*z(w). Factor s(g).
2*(g - 1)*(g + 1)
Factor 0*c**4 - 51*c**2 - 30*c**3 + 5*c**5 + 27*c**2 + 82*c**3 - c**5 - 32*c**4.
4*c**2*(c - 6)*(c - 1)**2
Suppose 3*l - 5 = 2*b, -2*b + 2*l - 3 + 1 = 0. Let u(n) be the first derivative of 0*n**3 + 2*n - 7 - b*n**2 + n**4 - 2/5*n**5. Factor u(k).
-2*(k - 1)**3*(k + 1)
Factor -4/3*z**2 + 2/3*z**5 + 0 + 0*z**3 - 2/3*z + 4/3*z**4.
2*z*(z - 1)*(z + 1)**3/3
Let i(l) be the first derivative of 0*l + 6/5*l**3 - 7 + 2/5*l**2. Determine j, given that i(j) = 0.
-2/9, 0
Let a(v) be the first derivative of -10 + 4/3*v**3 - 4*v + 0*v**2. Factor a(u).
4*(u - 1)*(u + 1)
Let n(p) = -p**3 + 6*p + 1. Let h(a) = -a**3 + 5*a + 1. Let b = 8 + -14. Let s(f) = b*h(f) + 5*n(f). Let q(j) be the first derivative of s(j). Factor q(z).
3*z**2
Let j = -153 - -153. Suppose -w + 10 = 2*r - j*r, 2*w + 2*r = 12. Suppose -4/11 - 2/11*d + 2/11*d**w = 0. Calculate d.
-1, 2
Let c(y) be the first derivative of y**4/48 - y**3/18 - y**2/3 - 244. Factor c(q).
q*(q - 4)*(q + 2)/12
Let r(c) be the third derivative of -c**5/120 - 5*c**4/24 - 7*c**3/4 + 49*c**2. Factor r(l).
-(l + 3)*(l + 7)/2
Let p(i) be the second derivative of 8*i**3 + 8*i**2 + 3/5*i**5 + 11/3*i**4 - 27*i + 0. Find v such that p(v) = 0.
-2, -1, -2/3
Let f(j) = -j. Let l be f(-5). Factor 5*o - 10*o**4 + 10*o**2 - 5*o**l + 63 - 63.
-5*o*(o - 1)*(o + 1)**3
Factor -16/9 + 16/9*p**2 - 2/9*p**3 + 2/9*p.
-2*(p - 8)*(p - 1)*(p + 1)/9
Suppose -11*d + 2 = -10*d. Let s(k) be the third derivative of -2/45*k**6 + 0*k - 1/72*k**4 + 2/45*k**5 - 3*k**d + 0 + 0*k**3. Factor s(g).
-g*(4*g - 1)**2/3
Suppose -9*j - 6 = -33. Find n, given that -2*n**4 - n**2 - n**4 + 2*n**4 - 5*n**j - 2 - 7*n - 8*n**2 = 0.
-2, -1
Factor -20*n + 0*n + 16*n + 4*n**3 - 12*n.
4*n*(n - 2)*(n + 2)
Let k = 246 + -242. Let u(c) be the third derivative of 2*c**2 - 1/12*c**k + 0*c - 1/7*c**3 - 1/42*c**5 + 0 - 1/420*c**6. What is z in u(z) = 0?
-3, -1
Factor 11119*l**3 - 7*l**2 + 2*l**2 + l**2 + 12 - 11121*l**3 + 10*l.
-2*(l - 2)*(l + 1)*(l + 3)
Let n(c) be the second derivative of c**7/231 + c**6/15 + 9*c**5/110 - c**4/6 - 10*c**3/33 - 81*c. Solve n(m) = 0.
-10, -1, 0, 1
Let j be (-13 - -4)*(-4)/102. Let t = j + -8/119. Factor 0 + 1/7*c**5 + 1/7*c**4 - 3/7*c**3 - 1/7*c**2 + t*c.
c*(c - 1)**2*(c + 1)*(c + 2)/7
Let c(n) be the third derivative of n**8/1176 + 19*n**7/735 + 23*n**6/84 + 241*n**5/210 + 52*n**4/21 + 64*n**3/21 - 5*n**2 + 1. Factor c(r).
2*(r + 1)**3*(r + 8)**2/7
Let z be 58/319 - ((-15)/99 + 0). Let t(w) be the second derivative of 5*w + 1/21*w**7 + 0*w**2 - z*w**3 - 1/3*w**4 + 0*w**5 + 0 + 2/15*w**6. Factor t(i).
2*i*(i - 1)*(i + 1)**3
Let c(p) = -p - 1. Let f(d) = -d. Let i(t) = -6*c(t) + 5*f(t). Let q be i(-4). Let -8*y**4 + 6*y**3 + 8*y**2 - 2*y**3 - 2*y + 0*y**4 - q*y**3 = 0. Calculate y.
-1, 0, 1/4, 1
Let f(w) be the second derivative of w**5/4 + 15*w**4/4 + 20*w**3 + 40*w**2 - 32*w - 1. Determine j, given that f(j) = 0.
-4, -1
Let r(m) be the first derivative of -3*m**4/4 + 3*m**2/2 - 57. Solve r(x) = 0.
-1, 0, 1
Let h(d) = 9*d**4 + 15*d**3 - 24*d**2 - 24*d - 6. Let j(s) = 10*s**4 + 16*s**3 - 25*s**2 - 24*s - 7. Let z(t) = 7*h(t) - 6*j(t). Factor z(w).
3*w*(w - 2)*(w + 1)*(w + 4)
Let g be (-3)/((1/2)/(80/(-96))). Determine y so that g + y**4 - 5*y**4 + 19*y**4 + 60*y**2 + 30*y + 50*y**3 = 0.
-1, -1/3
Let z(n) be the third derivative of 0*n**3 + 0*n + 0 + 1/2184*n**8 + 0*n**5 + 2/1365*n**7 + 1/780*n**6 + 0*n**4 + 19*n**2. Factor z(w).
2*w**3*(w + 1)**2/13
Let d(z) be the first derivative of -2*z**3/7 - z**2 + 40*z/7 + 117. Factor d(f).
-2*(f + 4)*(3*f - 5)/7
Suppose 5*h = f + 15, 2*f - 4*f - 2*h = -30. Let z be f/36 + 174/54 + -3. Factor d - 1/2 - z*d**2.
-(d - 1)**2/2
Let s be (1 - (-1 + 0)) + (-2 - -1479). Let -11*u - 1047 + 83*u + 3*u**2 + s = 0. Calculate u.
-12
Let r(n) be the second derivative of 6*n + 1/15*n**3 + 0*n**2 + 0 + 1/30*n**4. Factor r(k).
2*k*(k + 1)/5
Let h(r) be the first derivative of 8/3*r**3 - 1/3*r**4 - 6*r + 0*r**2 - 8. Let z(k) be the first derivative of h(k). Find b such that z(b) = 0.
0, 4
Let v(h) be the second derivative of 3*h**7/2240 - h**6/120 - 3*h**5/64 - h**4/16 - 29*h**3/6 + 11*h. Let m(l) be the second derivative of v(l). Factor m(x).
3*(x - 4)*(x + 1)*(3*x + 1)/8
Let m(f) be the first derivative of -f**6/42 - f**5/35 + 3*f**4/28 + f**3/21 - f**2/7 - 101. Suppose m(o) = 0. Calculate o.
-2, -1, 0, 1
Let r(d) = d**3 + 6*d**2 + 6*d + 9. Let l be r(-5). Suppose 2*o**4 + 10*o**4 - 4*o**4 + 10*o**3 + o**5 + l*o**2 + o**5 = 0. What is o?
-2, -1, 0
Suppose 42*f - 93 - 99 = -24. Factor 0 - 3/2*v**2 + 0*v**3 - v + 1/2*v**f.
v*(v - 2)*(v + 1)**2/2
Let i(q) be the first derivative of 0*q**3 - 1/3*q**6 + 18 + 0*q + 0*q**2 - 2/5*q**5 + 0*q**4. Factor i(y).
-2*y**4*(y + 1)
Let k(q) = -q**3 + 5*q**2 - 3*q + 2. Let j be k(4). Suppose -2*p = -p - j. Suppose -1 - 9*a**5 - 4*a**4 - p*a**2 + 1 + 10*a**4 + 9*a**3 = 0. What is a?
-1, 0, 2/3, 1
Let b(i) = -i**3 - 8*i**2 - i - 4. Let u be 1*-8 + (-4 + 4)/4. Let h be b(u). Find p, given that -8/9*p**2 + 0*p + 8/9*p**3 - 2/9*p**h + 0 = 0.
0, 2
Let y(s) be the second derivative of s**4/24 - 23*s**3/6 + 2*s - 15. Determine b, given that y(b) = 0.
0, 46
Let a(g) be the first derivative of -3*g**4/4 - 48*g**3 - 141*g**2/2 - 33. Suppose a(s) = 0. What is s?
-47, -1, 0
Let k(q) = 12*q + 544. Let a be k(-45). Solve 4/9*b + 0 + 2/3*b**2 - 4/9*b**3 - 2/3*b**a = 0 for b.
-1, -2/3, 0, 1
Suppose -3 = -5*y + 7. Find n such that n - 9*n**3 + 15*n**y + 12*n**5 - 64*n**4 + 40*n**4 + 5*n = 0.
-1/2, 0, 1, 2
Let t be (-1)/(5 - ((-891)/(-55) + -11)). Factor -21*w + t*w**2 - 1/3*w**3 + 49/3.
-(w - 7)**2*(w - 1)/3
Let x(b) be the third derivative of -b**7/11340 - b**6/1080 + 5*b**4/6 - 3*b**2. Let a(n) be the second derivative of x(n). Suppose a(s) = 0. What is s?
-3, 0
Let t(b) be the third derivative of b**5/4 - 2335*b**4/24 - 130*b**3 + 179*b**2 + 3. Solve t(j) = 0 for j.
-1/3, 156
What is a in -159014/5 - 2/5*a**3 - 258/5*a**2 - 11094/5*a = 0?
-43
Let h(m) be the second derivative of m**6/120 + 3*m**5/80 + m**4/16 + m**3/24 - 4*m - 7. Suppose h(a) = 0. What is a?
-1, 0
Let w(r) = 10*r + 591. Let m be w(-59). Determine q, given that 1/2*q**3 + m - 1/2*q - q**2 = 0.
-1, 1, 2
Let v(j) = j**2 - j - 80. Let d be v(0). Let t be (2/(-12))/(d/180). Factor 3/2 + t*w**2 + 3/2*w.
3*(w + 2)**2/8
Let t(g) be the second derivative of 2*g**7/21 - 2*g**6/3 + 4*g**5/5 - 41*g. Factor t(q).
4*q**3*(q - 4)*(q - 1)
Let p(q) be the second derivative of q**7/84 - 7*q**6/60 - q**5/5 - 25*q + 2. Factor p(i).
i**3*(i - 8)*(i + 1)/2
Let d = 115 - 50. What is r in 20*r**2 - 25*r**4 - 45*r**3 - 10*r**4 + d*r**3 + 10*r**5 = 0?
-1/2, 0, 2
Suppose -60*u = -50*u. Let b(v) be the third derivative of 0 + 1/3*v**4 - 4/9*v**3 + 7/90*v**5 + u*v + 3*v**2. Factor b(n).
2*(n + 2)*(7*n - 2)/3
Let c(u) = -2*u**2 + 5*u + 1. Let t be c(0). Let b(m) be the first derivative of -5*m**2 + 14/3*m**3 - 4*m + t. Factor b(z).
2*(z - 1)*(7*z + 2)
Let x be 900/(-315)*1/(-5) + 96/28. Find a, given that 6/5*a**3 + 2/5*a**x - 8/5*a**2 + 0 + 0*a = 0.
-4, 0, 1
Let r(b) be the first derivative of b**6/20 - 3*b**5/40 - b**4/8 + b**3/4 - 35*b - 26. Let a(t) be the first derivative of r(t). Factor a(z).
3*z*(z - 1)**2*(z + 1)/2
Suppose -2*r = 3 - 9. Suppose -3*w - 4*x = -r - 3, -2