 + 0 - 1/48*x**4. Find k such that y(k) = 0.
-1, 0
Let d(k) be the first derivative of -3*k**4/2 - 14*k**3/3 - 5*k**2 - 2*k + 7. Determine f so that d(f) = 0.
-1, -1/3
Suppose -k = -0*k. Let p(v) be the second derivative of 1/8*v**2 - 1/40*v**5 + 0*v**4 + 3*v + k + 1/12*v**3 - 1/120*v**6. Find u, given that p(u) = 0.
-1, 1
Let h(f) be the first derivative of 7 - 18*f**2 - 6*f**3 - 24*f - 3/4*f**4. Factor h(o).
-3*(o + 2)**3
Solve 1/2*r**4 + 1/2*r**2 + 3/2*r**3 - 3/2*r - 1 = 0 for r.
-2, -1, 1
Let o(n) be the second derivative of n**4/22 - 2*n**3/11 - 9*n**2/11 + 17*n. Let o(h) = 0. Calculate h.
-1, 3
Let c(p) = -2*p**2 + 0*p**2 - p**2 + 6*p + 4*p**2. Let o be c(-6). Find m, given that 0*m**3 - 2/9*m**5 + 0*m**2 + 0*m + o + 2/9*m**4 = 0.
0, 1
Let q(r) = -r**2 + 3*r + 3. Let j be q(3). Suppose -j*i = i - 8. Factor -4 + 4*v + 11*v - 5*v + 2*v**3 - 8*v**i.
2*(v - 2)*(v - 1)**2
Suppose 0 = 10*g - 36 - 14. Let 0*o - 1/5*o**4 + 0*o**3 + 0*o**2 + 0 + 1/5*o**g = 0. Calculate o.
0, 1
Let f(k) be the first derivative of k**3 - 3*k**2/2 - 6*k + 1. Factor f(g).
3*(g - 2)*(g + 1)
Let s = 383 + -381. Solve 1/2*x**5 + 0*x - 3/2*x**3 + 0 + 0*x**4 - x**s = 0 for x.
-1, 0, 2
Let t(g) be the second derivative of 1/35*g**5 - 1/15*g**6 + 0*g**3 + 4/147*g**7 - 3*g + 1/42*g**4 + 0 + 0*g**2. Factor t(y).
2*y**2*(y - 1)**2*(4*y + 1)/7
Determine o, given that -3*o**3 + 5*o**5 - 4*o**2 + 6*o**4 + 3*o**5 - 2*o**2 - 5*o**5 = 0.
-2, -1, 0, 1
Let c(s) be the first derivative of s**3/12 + s**2/4 + 2. Factor c(u).
u*(u + 2)/4
Suppose 5*y + 2*g - 23 = 0, -5*g = 5*y - y - 32. Factor -2*v**y - 3 + 3 + v**4 + v**2.
v**2*(v - 1)**2
Suppose -3 = -v + 2*y, -4*y = -5*v - 1 + 22. Factor -1 - 12*k - 3*k**4 - 4*k**3 + v - 7 - 18*k**2 - 8*k**3.
-3*(k + 1)**4
Let j(y) be the first derivative of -3*y**5/5 - 3*y**4/4 + y**3 + 3*y**2/2 - 7. Suppose j(l) = 0. What is l?
-1, 0, 1
Let c(a) = 0*a**2 + 8*a**4 + 6*a**3 + 0*a**2 + 0*a + 7*a. Let p(y) = 7*y**4 + 5*y**3 + 6*y. Let k(b) = 6*c(b) - 7*p(b). Factor k(h).
-h**3*(h - 1)
Factor 30*t**2 + 0*t**4 + 6*t**4 + 18*t**3 + 14*t - 4*t**4.
2*t*(t + 1)**2*(t + 7)
Suppose 2*x + 3 = 3*x. Suppose 0 = k - 0*k - x. Factor r - 5*r**3 + 5*r**3 + r**4 + k*r**3 + 3*r**2.
r*(r + 1)**3
Suppose -10*b - 8*b**2 - 8*b**2 + 4 - 42*b - 16 = 0. Calculate b.
-3, -1/4
Let t = -65 + 65. Let i(m) be the second derivative of 0*m**2 + 1/5*m**5 + 2*m + 1/6*m**4 + 0 + 1/15*m**6 + t*m**3. Solve i(z) = 0.
-1, 0
Let f be (8/(-50))/((-4)/20). Let s(w) be the first derivative of 2 - 3/5*w**2 + f*w - 4/15*w**3 + 3/10*w**4. Solve s(c) = 0.
-1, 2/3, 1
Let k(n) = n**2 + n. Let r be k(0). Find s, given that -1/2*s**5 + 0 - s**3 + 0*s**2 - 3/2*s**4 + r*s = 0.
-2, -1, 0
Suppose -1 = 4*k + 11. Let n be 2 + (1 - 0)*k. Let v(q) = -q**3. Let c(p) = -3*p**3 - 2*p**2. Let s(o) = n*c(o) + 5*v(o). Determine b, given that s(b) = 0.
0, 1
Suppose -8 - 14 = -f + 4*w, -2*f - 16 = 4*w. Suppose -6*q = 3*p - q + 19, p + 2*q = -8. Determine c, given that p*c**2 + 8*c + 2*c - 10*c**3 - 4 + f*c**2 = 0.
-1, 2/5, 1
Suppose 5*i + 4*x - 85 = 0, 2*i + x - 34 = -0*x. Suppose n = 5*h + 3, 5*h + i - 5 = 4*n. Solve 0*w**2 + 0*w - 1/2*w**4 + 0 - 1/2*w**n = 0 for w.
-1, 0
Let f(k) = k**2 + 19*k - 37. Let g(c) = -10*c + 18. Let n(j) = -2*f(j) - 5*g(j). Suppose n(x) = 0. Calculate x.
2, 4
Factor 0*f**4 + 2*f**3 + f**3 - 2*f**4 - f**3.
-2*f**3*(f - 1)
Find s, given that -16*s - 28*s**4 + 12*s**3 + 7*s**3 + 8*s**5 + 32*s**2 - 7*s**3 = 0.
-1, 0, 1/2, 2
Let b = -4 - 5. Let z = b - -14. Let -10*t**4 + t - 12*t**3 - 6*t**2 - 2*t**5 - 2*t - t**z = 0. What is t?
-1, -1/3, 0
Let y = 2 - 4. Let m be (-2 - y) + 1/3. Factor -m + 0*z + 1/3*z**2.
(z - 1)*(z + 1)/3
Let c(s) be the third derivative of 16*s**7/105 - 2*s**6/15 - 13*s**5/10 - 17*s**4/12 - 2*s**3/3 - 2*s**2. Factor c(d).
2*(d - 2)*(d + 1)*(4*d + 1)**2
Suppose 5*s = 3*t + 5, 3*t + 1 = 3*s + 4. Let a(f) be the third derivative of -1/10*f**s + 0 - 3/100*f**5 + 0*f + 3*f**2 - 2/15*f**3. Factor a(z).
-(3*z + 2)**2/5
Suppose -4*z = 3*g + 9, 5*g + 0*z - 5*z - 20 = 0. Let i be (g/1)/((-8)/(-32)). Suppose 1/4*w**5 + 0 + 0*w**3 + 0*w**2 + 0*w + 1/4*w**i = 0. Calculate w.
-1, 0
Suppose 3*m = -0*m - 6. Let y be (-2)/(-4) - m/(-36). Find c such that y - 2/9*c - 2/9*c**2 = 0.
-2, 1
Let u be (-1 - 1)/((-18)/117). Let b = 15 - u. Determine n so that -2/7*n + 2/7*n**b - 4/7 = 0.
-1, 2
Factor 2 + 2*l**4 - 564*l**2 + 1128*l**2 - 568*l**2.
2*(l - 1)**2*(l + 1)**2
Let g(p) be the first derivative of -p**6/21 + 3*p**4/14 - 4*p**3/21 - 19. Factor g(f).
-2*f**2*(f - 1)**2*(f + 2)/7
Let v(l) be the third derivative of 3*l**2 + 1/72*l**4 + 0*l - 1/360*l**5 + 0 + 0*l**3. Suppose v(c) = 0. What is c?
0, 2
Suppose 1 = q - 4. Let l(f) be the third derivative of -1/12*f**4 - f**2 + 1/30*f**6 - 1/168*f**8 + 0*f + 0*f**3 + 0 + 0*f**7 + 0*f**q. Solve l(b) = 0.
-1, 0, 1
Let f be 10/(-9)*276/(-8). Let m = 39 - f. Solve 0*a**2 + 0*a**4 + 1/3*a**5 + 1/3*a + 0 - m*a**3 = 0.
-1, 0, 1
Let l(v) be the second derivative of 0*v**2 + 1/15*v**3 + v + 0 - 1/15*v**4. Factor l(c).
-2*c*(2*c - 1)/5
Let f(g) be the third derivative of -g**7/840 + g**5/40 + 5*g**4/24 - 7*g**2. Let x(d) be the second derivative of f(d). Find p such that x(p) = 0.
-1, 1
Let v(m) be the first derivative of -m**4/4 - m**3/3 - 8. Determine x, given that v(x) = 0.
-1, 0
Suppose 40*o - 76 = 44. Factor 2/9*v**o + 0 + 0*v + 0*v**2.
2*v**3/9
Let n(d) be the third derivative of -1/16*d**4 + 0 + 1/120*d**5 + 7/240*d**6 - 1/168*d**8 + 0*d**7 + 0*d - 3*d**2 - 1/12*d**3. Let n(f) = 0. What is f?
-1, -1/2, 1
Suppose 0 - 4/11*l**4 + 4/11*l**2 - 2/11*l + 2/11*l**3 = 0. Calculate l.
-1, 0, 1/2, 1
Let x = 28 - 22. Determine s so that 4 + 5 - x - 3*s**3 - 3*s**2 + 3*s + 0*s**3 = 0.
-1, 1
Let v be 2 + 0 + 0/2. Let a(c) = -c**2 + 2*c. Let o be a(v). Determine h so that -2/3*h**2 - 4/3*h**3 + 0*h + o = 0.
-1/2, 0
Let g(t) = -2*t + 11. Let j be g(8). Let u be (-6)/j*(-50)/(-15). Suppose 4*n + u*n + 3*n**2 - 5*n**2 - 8 = 0. Calculate n.
2
Let g = -313/3 + 105. Solve -g*b - 1/3*b**2 + 0 = 0 for b.
-2, 0
Let k(u) be the third derivative of 1/60*u**5 + 0*u**3 + 0*u**4 + 0*u - 3*u**2 + 0. Let k(y) = 0. Calculate y.
0
Let d(o) = 6*o**4 + 24*o**3 + 20*o**2 + 2*o + 2. Let u(y) = -11*y**4 - 47*y**3 - 39*y**2 - 3*y - 5. Let s(m) = -5*d(m) - 2*u(m). Factor s(r).
-2*r*(r + 1)*(r + 2)*(4*r + 1)
Let c(d) = d**3 + 7*d**2 - 16*d - 16. Let w(u) = -u**3 + u**2. Let t(m) = c(m) - 3*w(m). Determine i, given that t(i) = 0.
-2, -1, 2
Let d(s) be the second derivative of -s**8/3360 - s**7/560 - s**6/240 - s**5/240 + s**3/3 - s. Let x(h) be the second derivative of d(h). Factor x(q).
-q*(q + 1)**3/2
Let r be 6/(-20)*9/(81/(-12)). Suppose -2/5*z - 4/5*z**2 + 2/5 + r*z**4 - 2/5*z**5 + 4/5*z**3 = 0. Calculate z.
-1, 1
Let -7*k**2 + 2*k**2 + 80 - 30*k**2 - 40*k - 5*k**3 = 0. Calculate k.
-4, 1
Let w(k) be the second derivative of -k**4/12 + 2*k**3/3 + 5*k**2/2 - 11*k. Suppose w(m) = 0. What is m?
-1, 5
Let o(c) = 3*c**2 + 3*c + 1. Let l be o(-2). Suppose 0 = l*q - 6*q. Let 0*u + 1/2*u**3 + 0*u**2 + q = 0. Calculate u.
0
Let n = -1/3 - -2/3. Let v(j) be the first derivative of -1/9*j**3 - 1/3*j - 2 + n*j**2. Factor v(w).
-(w - 1)**2/3
Let d(i) be the second derivative of 2*i**7/21 - 2*i**6/15 - 6*i**5/5 - 2*i**4/3 + 10*i**3/3 + 6*i**2 + 3*i. What is x in d(x) = 0?
-1, 1, 3
Suppose -6*j - 36 = -18*j. Solve 0 + 1/7*p**2 + 0*p - 1/7*p**j = 0.
0, 1
Let b = 56 - 56. Factor -2/3*m + 2/3*m**3 + b*m**2 + 0.
2*m*(m - 1)*(m + 1)/3
Let o(f) be the first derivative of 5 - 1/5*f**3 + 1/10*f**2 + 2/5*f. What is j in o(j) = 0?
-2/3, 1
Let q be 10/8*(-17)/(-85). Let 1/4*x**2 + 0*x - q = 0. What is x?
-1, 1
Let n be 40/(-20) + 2/1. Let w(h) be the first derivative of 3 - 1/12*h**4 + 0*h + n*h**2 - 1/9*h**3. Factor w(r).
-r**2*(r + 1)/3
Let 6*m**2 - m**3 - 3*m**3 + 0*m**2 - 14*m**2 = 0. What is m?
-2, 0
Determine b, given that 2/7*b**3 + 1/7 - 2/7*b**2 + 1/7*b**4 - 1/7*b**5 - 1/7*b = 0.
-1, 1
Let m(w) be the second derivative of 3*w**5/20 + 3*w**4 + 24*w**3 + 96*w**2 + 7*w. Factor m(k).
3*(k + 4)**3
Let g(i) be the third derivative of i**6/780 + i**5/65 + 3*i**4/52 - 22*i**2. Factor g(t).
2*t*(t + 3)**2/13
Let b be -13 + 16 - (-1 + 2). Factor -b*i**2 - 3*i**2 - 6*i**3 - 2*i**4 - i**4 + 2*i**2.
-3*i**2*(i + 