. What is d in -d**4 - 20*d**2 + 3*d**o + 4*d + 8*d**3 + 30*d**2 = 0?
-2, -1, 0
Let j be (-272)/(-102) - 2/(-6). Let f(i) be the first derivative of 0*i + 1 + 3/4*i**4 + 3/2*i**2 - 2*i**j. Factor f(p).
3*p*(p - 1)**2
Let d(u) = 13*u**2 + 225*u + 2934. Let c(n) = 3*n**2 + 56*n + 733. Let i(j) = 9*c(j) - 2*d(j). Find g such that i(g) = 0.
-27
Let u(p) be the first derivative of -8 - 2/45*p**3 - 4/3*p - 7/15*p**2. Factor u(t).
-2*(t + 2)*(t + 5)/15
Let v be (-1 + (-94)/(-2))*9. Let z be (-4)/(-2) + (1 - v/(-42)). Let -12/7 - 111/7*f**2 + 60/7*f - 27/7*f**4 + z*f**3 = 0. What is f?
2/3, 1
Let x(z) be the third derivative of -z**5/70 - 19*z**4/28 - 34*z**3/7 + 174*z**2. Determine w so that x(w) = 0.
-17, -2
Let n = -76 - -90. Let y be ((-8)/n)/(22/(-77)). What is x in -1/2 - x - 1/2*x**y = 0?
-1
Let k(i) be the first derivative of -i**6/72 + i**5/6 + 25*i**4/24 - 28*i**3/3 - 28. Let j(s) be the third derivative of k(s). Determine p so that j(p) = 0.
-1, 5
Suppose 3*w - 3*z = 84, -3*z = -w - 0*w + 24. Let t = 33 - w. Determine n, given that 9/4*n**4 - 9/4*n**t + 0 + 3/4*n**2 - 3/4*n**5 + 0*n = 0.
0, 1
Let c(j) = -4*j**3 + 28*j**2 - 45*j - 3. Let k(x) = 4*x**3 - 28*x**2 + 44*x + 4. Let l(s) = -4*c(s) - 3*k(s). Factor l(d).
4*d*(d - 4)*(d - 3)
Factor 22/5*q + 2/5*q**2 + 0.
2*q*(q + 11)/5
Factor -452*u**2 + 227*u**2 - u**3 - 63 + 212*u**2 - 51*u.
-(u + 3)**2*(u + 7)
Let s(u) be the first derivative of 2*u**7/49 - 4*u**6/21 + 12*u**5/35 - 2*u**4/7 + 2*u**3/21 - 14*u - 2. Let b(z) be the first derivative of s(z). Factor b(o).
4*o*(o - 1)**3*(3*o - 1)/7
Let j be 1 + (-1)/(1/(-12)). Factor s**2 - 2*s + s**2 + 0*s - j + 1.
2*(s - 3)*(s + 2)
Let t(h) = 10*h**3 + 2*h**2 - h. Let b be t(1). Let p = -7 + b. Factor 4/3*s**3 - 4/3*s**p + 0*s + 0 + 8/3*s**2.
-4*s**2*(s - 2)*(s + 1)/3
Factor -472 - 27*j**3 + j**4 - 477 - 40*j - 52*j**2 + 949 + j**5 + 9*j**3.
j*(j - 5)*(j + 2)**3
Let k(x) be the third derivative of x**5/60 - 3*x**4/2 - 37*x**3/6 + 93*x**2. Factor k(r).
(r - 37)*(r + 1)
Factor -735/4 - 57/4*l**2 - 3/4*l**3 - 357/4*l.
-3*(l + 5)*(l + 7)**2/4
Let g(p) = -3*p**3 + 7*p**2 + 4*p + 3. Let w be g(4). Let u = 185/3 + w. Determine x so that 2/3 - 4/3*x**2 - 2/3*x**5 - 2/3*x + 4/3*x**3 + u*x**4 = 0.
-1, 1
Factor 204/7*k - 208/7 + 4/7*k**2.
4*(k - 1)*(k + 52)/7
Let t(h) = -h**2 + 7*h - 3. Let r be t(4). Suppose 7*j + r = 23. Let 4/15 + 2/15*k**j - 2/5*k = 0. What is k?
1, 2
Let y(j) be the first derivative of -j**4/10 + 38*j**3/15 + 41*j**2/5 + 42*j/5 + 49. Determine w, given that y(w) = 0.
-1, 21
Let z(u) be the second derivative of u**8/168 + u**7/105 + 13*u**2/2 - 16*u. Let c(d) be the first derivative of z(d). Factor c(m).
2*m**4*(m + 1)
Suppose 42*y = -18*y. Let k(u) be the third derivative of -1/12*u**3 - 10*u**2 + 0*u + 1/120*u**5 + 1/96*u**4 + y - 1/480*u**6. Let k(o) = 0. Calculate o.
-1, 1, 2
Let k(p) be the first derivative of 132*p**3 + 135*p**3 - 268*p**3 + 5 + 3*p**2. Factor k(i).
-3*i*(i - 2)
Let k be 36/4 + (-8)/2. Let p(g) be the third derivative of 0 - 9/8*g**4 - 13/20*g**k + 0*g - 5*g**2 - g**3 - 3/20*g**6. Determine b so that p(b) = 0.
-1, -2/3, -1/2
Let u(t) be the third derivative of t**8/11760 + t**7/5880 - t**6/2520 - t**5/840 - 2*t**3 - 29*t**2. Let k(l) be the first derivative of u(l). Factor k(n).
n*(n - 1)*(n + 1)**2/7
Let x = -669 - -671. Let b(z) be the first derivative of 0*z + 2/15*z**3 + 8 - 2/5*z**x. Solve b(i) = 0 for i.
0, 2
Let s(q) be the third derivative of -q**6/960 - q**5/240 - 58*q**2. Factor s(p).
-p**2*(p + 2)/8
Suppose 10 - 6 = 2*s. Find y such that -12*y**s + 16*y**3 + 6*y**2 - 11*y**2 - 8*y - 11*y**2 = 0.
-1/4, 0, 2
Let z(g) be the third derivative of g**5/16 - 139*g**4/192 + 3*g**3/8 + 10*g**2 - g. Solve z(y) = 0 for y.
2/15, 9/2
Let l = 11536 + -11500. Factor -16*n**3 - 16/9*n**2 - l*n**4 + 0 + 0*n.
-4*n**2*(9*n + 2)**2/9
Let -2/3*x**3 - 2/3*x**2 + 2/3*x**4 + 2/3*x + 0 = 0. What is x?
-1, 0, 1
What is m in -72/5 - 338/5*m**2 + 312/5*m = 0?
6/13
Suppose 78 = 31*g - 5*g. Let p(i) be the second derivative of 0 - 6*i + 1/2*i**4 + 0*i**g + 3/20*i**5 - 1/10*i**6 + 0*i**2. Factor p(h).
-3*h**2*(h - 2)*(h + 1)
Let m(k) be the second derivative of -20*k + 20*k**2 + 0 - 5/2*k**4 + 1/4*k**5 - 10/3*k**3 + 1/6*k**6. Factor m(s).
5*(s - 2)*(s - 1)*(s + 2)**2
Let u be (4/88)/(35/30). Let j = 145/231 + u. Suppose -4/3*h**2 + 1/3*h - 2/3*h**3 + j + 1/3*h**5 + 2/3*h**4 = 0. Calculate h.
-2, -1, 1
Let j = 3/2927 + 93595/67321. Factor 2/23*s**2 + 16/23*s + j.
2*(s + 4)**2/23
Let d(q) be the third derivative of 0*q + 2/33*q**3 - 7/132*q**4 - 33*q**2 + 1/1155*q**7 + 0 - 1/132*q**6 + 3/110*q**5. Factor d(g).
2*(g - 2)*(g - 1)**3/11
Let l(v) be the second derivative of v**7/210 + 19*v**6/150 + 4*v**5/5 - 5*v**4/3 - 124*v. Factor l(a).
a**2*(a - 1)*(a + 10)**2/5
Let v = -33643 + 33645. Factor 32/3*n - 26/3*n**v - 2.
-2*(n - 1)*(13*n - 3)/3
Let n(q) be the first derivative of q**3 - 3/2*q**2 - 6*q + 6. Find g such that n(g) = 0.
-1, 2
Let d = -10052 + 30160/3. Factor -d + 44/3*a**2 - 40/3*a.
4*(a - 1)*(11*a + 1)/3
Solve 25*l - 15/2*l**3 + 15/4*l**2 - 5/4*l**4 + 15 = 0.
-6, -1, 2
Let w(a) be the third derivative of a**7/1260 + a**6/144 + a**5/72 - 5*a**4/144 - a**3/6 - 297*a**2. Find y, given that w(y) = 0.
-3, -2, -1, 1
Let j be (-5 + 5)/(-1) + 19. Let f(t) be the first derivative of 6 - j*t**2 - 9/2*t**4 - 22*t**3 - 6*t. Factor f(q).
-2*(q + 3)*(3*q + 1)**2
Factor -16 + 191*k - 398*k + 2 + 2*k**2 + 180*k.
(k - 14)*(2*k + 1)
Let t be (-28)/(-72)*33/770. Let z(o) be the third derivative of -1/10*o**5 - 1/6*o**4 + 6*o**2 + 0 - t*o**6 + 0*o + 0*o**3. Factor z(k).
-2*k*(k + 1)*(k + 2)
Let r(m) = -m**2 - 25*m + 51. Let l(v) = -v**2 - 9*v + 25. Let f(u) = -5*l(u) + 3*r(u). Solve f(a) = 0 for a.
1, 14
Let u(a) be the third derivative of 0*a - 2*a**3 - 1/20*a**5 - a**2 + 0 + 1/2*a**4. Find n such that u(n) = 0.
2
Let d(p) = 36*p**4 + 106*p**3 + 148*p**2 + 22. Let r(w) = -5*w**4 - 15*w**3 - 21*w**2 - 3. Let c(u) = -6*d(u) - 44*r(u). Solve c(b) = 0 for b.
-3, 0
Let i(b) be the first derivative of 0*b**3 + 12 - 1/14*b**4 - 1/21*b**6 + 0*b**2 + 0*b - 4/35*b**5. Factor i(c).
-2*c**3*(c + 1)**2/7
Let g be ((-12)/9)/((-1260)/126). What is z in -4/5*z - 2/3 - g*z**2 = 0?
-5, -1
Let h(r) be the first derivative of r**5/5 + 3*r**4/4 - r**3 - 11*r**2/2 - 6*r - 258. Solve h(m) = 0 for m.
-3, -1, 2
Let a(c) be the second derivative of -c**6/30 - 11*c**5/20 + 13*c**4/4 - 41*c**3/6 + 7*c**2 - 2*c + 11. Determine j, given that a(j) = 0.
-14, 1
Let v(k) be the second derivative of k**7/70 - 3*k**6/40 + k**5/20 + 3*k**4/8 - k**3 - 2*k**2 - 18*k. Let a(q) be the first derivative of v(q). Factor a(n).
3*(n - 2)*(n - 1)**2*(n + 1)
Let -6*v + 4*v**2 + v + 12 + v + 4*v**3 + 9 - 25 = 0. Calculate v.
-1, 1
Let q(d) be the first derivative of 3*d**5/20 - 3*d**4/4 - 3*d**3/2 + 3*d**2/2 + 15*d/4 + 887. Solve q(p) = 0 for p.
-1, 1, 5
Determine b so that -72*b**3 - 9*b**5 + 23*b**4 - 51*b**2 - 6*b + 87*b**5 + 15*b**4 + 13*b**4 = 0.
-1, -1/2, -2/13, 0, 1
Let s(t) be the second derivative of -t**8/840 + t**6/180 - 3*t**3/2 + 4*t. Let p(d) be the second derivative of s(d). Solve p(k) = 0.
-1, 0, 1
Let n(a) be the third derivative of -a**5/120 - 41*a**4/12 - 163*a**3/12 - 368*a**2 + a. What is m in n(m) = 0?
-163, -1
Let y(j) = j**2 - 27*j - 46. Let d be y(29). Let m be d/14*(-20)/(-30). Determine v, given that -m*v - 4/7*v**2 + 0 = 0.
-1, 0
Let g(h) be the third derivative of -1/1800*h**6 + 0 + 1/150*h**5 + 0*h - 1/6*h**3 - 4*h**2 - 1/30*h**4. Let v(o) be the first derivative of g(o). Factor v(n).
-(n - 2)**2/5
Let o = -23 + 33. Suppose -5*a = o, -3*a = w + 1 + 2. Factor 14*y**3 - 14 + 52*y**2 + 2*y**w + 16*y - 2 + 4*y**3.
4*(y + 1)*(y + 2)*(5*y - 2)
Let y(g) be the first derivative of -1/4*g**4 - 2 + 0*g**2 - 2/3*g**3 + 0*g + 2/5*g**5 + 1/6*g**6. Factor y(k).
k**2*(k - 1)*(k + 1)*(k + 2)
Let k = -49 - -56. Suppose 4*h + h**4 - 2*h**3 - 9*h**2 - 7*h**3 - k*h - 4*h**4 = 0. What is h?
-1, 0
Factor -378*c + 382*c + 32*c**2 - 4*c**3 + 4 - 36.
-4*(c - 8)*(c - 1)*(c + 1)
Let k be ((-6)/56)/(63/147 + (-17)/35). Factor 3/4 + 27/8*a**2 + k*a**3 + 21/8*a + 3/8*a**4.
3*(a + 1)**3*(a + 2)/8
Let h(a) = -3*a**3 + 2*a + 3. Let t be h(-1). Suppose p - 2 = -6, 0 = t*x + p - 8. Factor 0*w**x