/20*w**6 + 0*w**4 - 30*w**2 - 1/70*w**7 + 0*w**3. Factor f(c).
-3*c**2*(c + 1)**2
Let d(n) = 2*n**3 - n**2 + n - 4. Let v(o) = 4*o**4 + 148*o**3 + 864*o**2 - 3592*o + 2560. Let h(g) = 8*d(g) - v(g). Determine c, given that h(c) = 0.
-18, 1, 2
Let a(j) = -j**3 - j**2 + j - 1. Let z(s) = -s**4 - 9*s**3 - 4*s**2 + 7*s - 7. Let f(d) = -35*a(d) + 5*z(d). Determine y so that f(y) = 0.
-3, 0, 1
Let n(o) = 3*o**2 - 4*o + 2. Let s = 64 + -61. Let x(b) = -4*b**2 + 5*b - 3. Let f(z) = s*n(z) + 2*x(z). Suppose f(q) = 0. What is q?
0, 2
Let d(u) be the second derivative of -1/6*u**3 + 0*u**2 + 0 - u - 1/12*u**4. Factor d(o).
-o*(o + 1)
Let k be 1/(52/(-28))*(-11)/(154/4). Factor 2/13 + 4/13*h**2 - 6/13*h**4 + k*h**5 + 4/13*h**3 - 6/13*h.
2*(h - 1)**4*(h + 1)/13
Suppose 11/5*o**5 + 6/5 - 86/5*o**2 + 13/5*o + 24*o**3 - 64/5*o**4 = 0. Calculate o.
-2/11, 1, 3
Factor 112/19*l + 98/19*l**2 + 32/19.
2*(7*l + 4)**2/19
Factor -5/7*t - 1/7 - 3/7*t**3 - t**2.
-(t + 1)**2*(3*t + 1)/7
Factor -3/4*f**4 + 3/2*f**3 - 3/4*f**2 + 0*f + 0.
-3*f**2*(f - 1)**2/4
Let t(w) be the second derivative of 1/72*w**4 + 1/90*w**5 + 7/6*w**3 + 1/360*w**6 + 0*w**2 + 4*w + 0. Let c(r) be the second derivative of t(r). Factor c(g).
(g + 1)*(3*g + 1)/3
Let 45/2*n**2 + 33/2*n + 1 - 15/2*n**4 - 1/2*n**3 = 0. Calculate n.
-1, -1/15, 2
Let i be 3 + 28/(-9) + 350/2772. Let q(c) be the second derivative of -c + i*c**4 + 1/33*c**3 + 0 - 2/11*c**2. Factor q(a).
2*(a - 1)*(a + 2)/11
Suppose -99*d - 48 = -103*d. Suppose 24*k**4 - 38*k**5 - 24*k**2 + 47*k**5 + 3*k**3 - k - d*k + k = 0. What is k?
-2, -1, -2/3, 0, 1
Let f(j) be the first derivative of 2*j**3/27 + 8*j**2/9 - 2*j - 276. Let f(b) = 0. Calculate b.
-9, 1
Let j = -285 - -290. Suppose -5 = -v - p + 3, -j*v = -p - 10. Let 0*h - 2/5*h**v - 6/5*h**2 + 8/5 = 0. What is h?
-2, 1
Let v(f) be the second derivative of -f**4/36 + f**3/18 + f**2 + 277*f. Factor v(b).
-(b - 3)*(b + 2)/3
Suppose 13*k = 16*k - 78. Let z = k + -16. Factor 76 - 48*r**2 - 64*r + 12*r**3 + 4*r**3 - 44 + 0*r**3 + z*r**4.
2*(r - 2)*(r + 2)**2*(5*r - 2)
Let r(c) be the first derivative of -3*c**4/22 + 170*c**3/33 - 109*c**2/11 + 54*c/11 + 470. Suppose r(z) = 0. Calculate z.
1/3, 1, 27
Suppose 0 = -5*g + 5*l - 5, 2*l - 3*l + 13 = 3*g. Suppose r + g*r - 8 = 0. Suppose 0 + 0*i + 3/5*i**4 + 0*i**3 + 0*i**r = 0. What is i?
0
Let c(u) be the third derivative of 0*u + 0*u**3 - 1/390*u**5 + 0*u**4 + 2*u**2 + 0 + 1/780*u**6. Find n, given that c(n) = 0.
0, 1
Let r(w) be the third derivative of 25*w**7/42 - 85*w**6/24 + 31*w**5/12 - 5*w**4/8 + 2*w**2 - 27*w. Find c such that r(c) = 0.
0, 1/5, 3
Let p(i) be the third derivative of 21*i**2 + 0*i**3 + 13/24*i**6 + 1/7*i**7 + 0*i + 5/336*i**8 + 0 + i**5 + 5/6*i**4. Let p(o) = 0. Calculate o.
-2, -1, 0
Let w be ((-94)/517)/((-48)/11). Let b(n) be the second derivative of -1/2*n**2 + w*n**4 + 1/12*n**3 + 0 + 4*n. Find s, given that b(s) = 0.
-2, 1
Let m = 43 + -45. Let d be -2 + -5 - 15/m. Factor 0 + 0*v**3 + 1/2*v**4 - 1/4*v**5 + 1/4*v - d*v**2.
-v*(v - 1)**3*(v + 1)/4
Let d(m) be the first derivative of 0*m + 5/2*m**2 - 1/90*m**5 + 0*m**4 + 6 + 0*m**3. Let t(h) be the second derivative of d(h). Factor t(z).
-2*z**2/3
Let k = -1/18807 - -169267/75228. Factor 1/4*h**3 + 3/4*h + 5/4*h**2 - k.
(h - 1)*(h + 3)**2/4
Factor 8/9 + 26/9*v**2 + 8/3*v + 2/9*v**4 + 4/3*v**3.
2*(v + 1)**2*(v + 2)**2/9
Suppose 11*f + 10 = 43. Let y be (-4 - -1)/(2/(-6)). Factor 0*z**f + 19*z**2 + 4*z**3 + y*z**4 - 8*z**3 - 29*z**3 - 3*z.
z*(z - 3)*(3*z - 1)**2
Let j be 1/((-1)/4*-1). Let l(m) be the second derivative of 0*m**2 - m - 1/30*m**j + 0 + 0*m**3. Factor l(n).
-2*n**2/5
Suppose 47*i - 51*i = 8. Let c be ((-3)/i)/((-85)/(-34)). Suppose 6/5*y**4 + c*y**5 - 6/5*y**2 + 9/5*y - 12/5*y**3 + 0 = 0. What is y?
-3, -1, 0, 1
Let h(f) be the second derivative of 5*f**4/4 - f**3/2 - 6*f**2 + 2*f + 33. Determine j, given that h(j) = 0.
-4/5, 1
Let h be -1*(760/(-15) + -1). Let s = -769/15 + h. Factor -2/5*f**2 + s + 4/5*f - 4/5*f**3.
-2*(f - 1)*(f + 1)*(2*f + 1)/5
Let k(d) be the third derivative of d**5/180 + 31*d**4/36 + 961*d**3/18 - d**2 - 180*d. Determine i so that k(i) = 0.
-31
What is d in -d**2 + 3*d**4 + 9*d - 27/4*d**3 - 1/4*d**5 + 0 = 0?
-1, 0, 2, 9
Let o(i) be the third derivative of i**8/896 - i**6/80 + 60*i**2. Factor o(r).
3*r**3*(r - 2)*(r + 2)/8
Let l(a) be the second derivative of a**6/1800 - a**5/150 - a**4/24 + a**3/3 + 12*a. Let c(y) be the second derivative of l(y). Factor c(m).
(m - 5)*(m + 1)/5
Let j(a) be the third derivative of 1/6*a**3 + 1/60*a**5 + 0*a - 19*a**2 + 0 - 1/12*a**4. Factor j(n).
(n - 1)**2
Let x(v) = 8*v**5 + 17*v**4 + 8*v**3 - 4*v**2. Let a(d) = -15*d**5 - 34*d**4 - 15*d**3 + 7*d**2. Let p(g) = 4*a(g) + 7*x(g). Let p(n) = 0. Calculate n.
-4, -1/4, 0
Suppose 5*g = 4*g + 39. Factor 5*s**4 - 3*s**4 + 21*s**2 - g*s + 24*s**3 + 44*s + 2*s**4.
s*(s + 5)*(2*s + 1)**2
Let j(r) = -6*r**3 - 2*r**2 - 4. Let h(p) = -5*p**3 - 2*p**2 + p - 3. Suppose -12 = 4*m - 0. Let t = m + 6. Let l(a) = t*j(a) - 4*h(a). Factor l(u).
2*u*(u - 1)*(u + 2)
Find i such that 8/9*i**3 + 20/3*i**2 - 2/9*i**4 - 8*i - 42 = 0.
-3, 3, 7
Let m be (-9)/(1260/(-287)) + -2. Let v(i) be the second derivative of m*i**6 - 6*i + 1/6*i**3 - 1/10*i**5 - 1/24*i**4 + 0*i**2 + 0. Factor v(u).
u*(u - 1)**2*(3*u + 2)/2
Suppose z = -143 + 137, 2*n + 5*z = -30. Factor -2/7*j**2 + 12/7*j + n.
-2*j*(j - 6)/7
Let r(o) = -3*o + 24. Let g be r(7). Factor 29*f**4 + 50*f**2 + 36*f**g - 42*f**2 - f**4.
4*f**2*(f + 1)*(7*f + 2)
Suppose 27 = 5*r - 3*c, -22 = -2*r + 14*c - 10*c. Factor 8*f**5 - 4*f**5 - 5 + 17 - 9*f**4 + 24*f**r + 8*f**2 - 28*f - 11*f**4.
4*(f - 3)*(f - 1)**3*(f + 1)
Solve 5*h**3 - 8*h**3 + 0*h**3 - 4*h**2 + 7*h**2 = 0.
0, 1
Let l be ((-6)/(-14))/(-1 - (-62)/56). Let 15/4*p**2 - 21/4*p + 21/4*p**3 + 3/4*p**l - 9/2 = 0. Calculate p.
-6, -1, 1
Let d be (1/1)/(14 - 13). Let c(h) = -2*h**3 + h**2 + 3*h - 2. Let a be c(d). Solve -1/4*u**3 + 1/2*u**2 + 0*u + a = 0.
0, 2
Let i(f) be the second derivative of -f**9/5040 + f**8/1120 + f**4/2 - 6*f. Let o(j) be the third derivative of i(j). Determine m so that o(m) = 0.
0, 2
Let s(z) be the third derivative of 1/48*z**3 - 1/192*z**4 - 1/480*z**5 + 1/960*z**6 + 0*z + 0 - 15*z**2. What is i in s(i) = 0?
-1, 1
Solve 148/5*x**2 - 40*x**3 + 76/5*x**4 - 6*x + 6/5*x**5 + 0 = 0 for x.
-15, 0, 1/3, 1
Suppose 0 = 2*r - 3*b + 8, -2*b = 5*r - 0*b - 18. Let q(p) be the second derivative of 1/10*p**4 + 0 - 2/15*p**3 - 1/5*p**r + 6*p. Find d, given that q(d) = 0.
-1/3, 1
Let c(p) = 4*p**2 + 17*p + 33. Let l be c(-2). Let v be (l/18)/(160/48). Let -1/2 + 1/2*o**2 - 1/4*o**3 + v*o = 0. What is o?
-1, 1, 2
Let f(i) be the first derivative of -4/45*i**3 - 1/15*i**2 + 4/15*i - 9 + 1/30*i**4. Factor f(n).
2*(n - 2)*(n - 1)*(n + 1)/15
Let h(f) be the third derivative of -f**6/200 - f**5/25 + 7*f**4/40 + f**3 - 4*f**2 - 5*f. Let h(u) = 0. What is u?
-5, -1, 2
Let c(z) be the first derivative of 0*z - 5/3*z**3 - 10*z**2 + 9. Find s such that c(s) = 0.
-4, 0
Let s be (-50)/(-30)*(-6)/(-2). Let h(t) be the third derivative of 0 - t**2 - 1/2*t**3 - 1/4*t**4 - 1/20*t**s + 0*t. Find q, given that h(q) = 0.
-1
Let v(g) be the first derivative of 0*g**2 + 2/5*g**5 - 9 + 1/10*g**4 + 0*g**3 + 4/15*g**6 + 0*g. Factor v(a).
2*a**3*(a + 1)*(4*a + 1)/5
Suppose 5*x**2 + 1 + x + 4*x - 11 - x - 9*x = 0. Calculate x.
-1, 2
Let s = -96 + 145. Factor 3*g**2 + 3*g - s*g**3 - g**2 + 48*g**3.
-g*(g - 3)*(g + 1)
Let -2/7*f**4 - 16/7*f**3 - 36/7*f**2 + 54/7 + 0*f = 0. What is f?
-3, 1
Let q be 38/(-4) + 1/2. Let v = q - -57. Let -5*a**3 + 12 + 52*a**2 - a**2 + v*a - 13*a**3 + 33*a**3 = 0. Calculate a.
-2, -1, -2/5
Let j(z) = 2*z**4 - 18*z**3 + 20*z**2 + 40*z. Let t(x) = -2*x**4 + 17*x**3 - 21*x**2 - 40*x. Let v(f) = -5*j(f) - 4*t(f). Factor v(l).
-2*l*(l - 10)*(l - 2)*(l + 1)
Let l(o) be the second derivative of -30*o**2 + 0 - 1/20*o**4 - 2*o**3 - 27*o. What is n in l(n) = 0?
-10
Let k(w) be the first derivative of -4*w**3/3 + 28*w**2 - 96*w - 657. Solve k(l) = 0 for l.
2, 12
Suppose 3*a + 13*a = 64. Let f be 2/a - ((-44)/8 - -3). Find t such that -2/17*t**f - 4/17 + 2/17*t + 6/17*t**2 - 2/17*t**4 = 0.
-2, -1, 1
Let b(y) be the first derivative of 1 + 3*y - 3/2*y**4 - 5/2*y**3 + 21/4*y*