ive of -i**4/6 - i**3/3 + i/3 + 2. What is k in t(k) = 0?
-1, 1/2
Let w(q) be the second derivative of q**7/126 + 2*q**6/45 + q**5/12 + q**4/18 + 11*q. Find j, given that w(j) = 0.
-2, -1, 0
Let c(d) be the first derivative of 2*d**3/3 - 2*d**2 + 2*d - 6. Factor c(b).
2*(b - 1)**2
Let k(p) be the third derivative of p**6/300 - p**5/75 + p**4/60 - 4*p**2. Find f such that k(f) = 0.
0, 1
Let w be (-1)/4*(1 - -93). Let n = -137/6 - w. Solve -4/3*p + 2/3*p**2 + n = 0 for p.
1
Suppose 0 = -39*n + 33*n + 24. Let i(s) be the third derivative of n*s**2 + 0*s**3 + 0 - 1/75*s**5 + 0*s + 1/60*s**4 + 1/300*s**6. Suppose i(r) = 0. What is r?
0, 1
Let r(f) = 7*f**2 - 2*f. Let d(n) = n**2. Let i(u) = -6*d(u) + r(u). Find c, given that i(c) = 0.
0, 2
Let c(u) = -3*u - 1. Let g be c(-1). Suppose 0*r = -g*r. Factor q**2 + 4*q + r*q - 3*q.
q*(q + 1)
Let d(m) = -56*m**3 + 34*m**2 + 56*m - 34. Let b(s) = -5*s**3 + 3*s**2 + 5*s - 3. Let a(c) = -68*b(c) + 6*d(c). Factor a(t).
4*t*(t - 1)*(t + 1)
Let s(r) be the second derivative of -r**7/63 + r**6/45 + 2*r**5/15 - 2*r**4/9 - 6*r. Find j, given that s(j) = 0.
-2, 0, 1, 2
Let t(a) be the first derivative of 2*a**3/3 + 2*a**2 + 3*a/2 + 11. Factor t(m).
(2*m + 1)*(2*m + 3)/2
Let g(k) be the first derivative of -2/15*k**3 - 1 + 2/5*k + 1/5*k**2 - 1/10*k**4. Factor g(d).
-2*(d - 1)*(d + 1)**2/5
Let w = 81/190 + -1/38. Factor -2/5*d**3 + 0*d**2 + 0 + 0*d + w*d**4.
2*d**3*(d - 1)/5
Suppose 4/7*m - 2/7*m**4 - 4/7*m**3 + 2/7 + 0*m**2 = 0. What is m?
-1, 1
Let n(v) be the third derivative of v**6/240 + v**5/40 + v**4/16 + v**3/12 + 7*v**2. Factor n(p).
(p + 1)**3/2
Let j(v) be the first derivative of v**3/18 + 19*v**2/6 + 361*v/6 - 28. Let j(c) = 0. Calculate c.
-19
Let q be (-309)/6*(-49)/840 + -3. Let x(p) be the third derivative of 0*p - 3*p**2 - 1/24*p**3 + 0 - 1/48*p**4 - q*p**5. Factor x(z).
-(z + 1)**2/4
Suppose l - 4 = 4. Factor 2*m**3 + 3*m - l*m**2 + 0*m + 7*m - 2*m.
2*m*(m - 2)**2
Let b(w) be the third derivative of 3*w**8/896 + w**7/56 + 7*w**6/960 - w**5/80 + 20*w**2. Let b(g) = 0. Calculate g.
-3, -2/3, 0, 1/3
Let k = -31/259 - -15/37. Let -16/7*c - k*c**3 + 10/7*c**2 + 8/7 = 0. What is c?
1, 2
Let a be 105/56 - 3/(-24). Let r = 0 + 0. Determine d so that -2/9*d**a + 2/9*d**4 + 2/9*d**3 - 2/9*d + r = 0.
-1, 0, 1
Let m(j) = -j**2 - j + 2. Let o be m(-2). Let u be ((-5)/(-2))/((-3)/(-6)). Let 0 + 2/5*z**u + 2/5*z**3 + o*z + 4/5*z**4 + 0*z**2 = 0. What is z?
-1, 0
Let z(m) be the first derivative of 2 - 2*m - m - 4*m**2 - 2*m**2 - 6 - 4*m**3. Suppose z(j) = 0. Calculate j.
-1/2
Let h(n) be the third derivative of n**6/840 - n**4/56 - n**3/21 + 22*n**2. Factor h(a).
(a - 2)*(a + 1)**2/7
Factor 30*v**2 - 3*v**2 - 4*v**3 - 11*v + 13*v**2 - 89*v.
-4*v*(v - 5)**2
Let b(c) be the second derivative of -c**4/6 + c**3/2 - 4*c**2 - 3*c. Let g(t) = -t**2 + 2*t - 4. Let y(u) = 2*b(u) - 5*g(u). Let y(j) = 0. What is j?
2
Factor -7/8 + r - 1/8*r**2.
-(r - 7)*(r - 1)/8
Let y(b) be the first derivative of -b**6/27 - 16*b**5/45 - 4*b**4/3 - 64*b**3/27 - 16*b**2/9 + 27. Determine o, given that y(o) = 0.
-2, 0
Factor -4*m + 2*m - 6*m**4 + m**3 + 6*m**2 + 10*m - 11*m**3 + 2*m**5.
2*m*(m - 4)*(m - 1)*(m + 1)**2
Let f = 0 + 1. Let q = 4 + f. Find h such that -h**4 + 2*h**2 + 7*h**4 + 3*h**5 + 6*h**3 - h**q = 0.
-1, 0
Let k(b) be the first derivative of -3/10*b**6 + 1/5*b**3 + 0*b - 2 + 0*b**2 - 3/25*b**5 + 9/20*b**4. Solve k(d) = 0.
-1, -1/3, 0, 1
Let v be (-9)/((-405)/(-6)) + 3/9. What is p in 6/5*p + 9/5 + v*p**2 = 0?
-3
Let g(f) be the second derivative of f**6/50 - 21*f**5/50 + 33*f**4/20 + 56*f**3/5 + 96*f**2/5 + 40*f. Factor g(c).
3*(c - 8)**2*(c + 1)**2/5
Let v be (-10)/(-40) + 9/4 - 1. Factor -3/2*p + v*p**3 + 3/2 - 3/2*p**2.
3*(p - 1)**2*(p + 1)/2
Let b(f) be the second derivative of f**4/30 - f**2/5 + 2*f. Let b(u) = 0. What is u?
-1, 1
Let b(l) be the second derivative of 2*l**6/5 + 3*l**5/20 - l**4 - l**3/2 + 7*l. Solve b(c) = 0.
-1, -1/4, 0, 1
Let k(x) = -5*x**2 + 31*x - 9. Let y(w) = 0*w**2 - 6*w + 4*w**2 + 2 - 3*w**2. Let l(n) = 2*k(n) + 11*y(n). Factor l(m).
(m - 2)**2
Suppose 0 = o + 4 - 2. Let f be 2/((-8)/(-3) + o). Determine c so that f*c**3 - 4 - 2*c**2 + 4 - 2*c**3 = 0.
0, 2
Let j(i) be the first derivative of i**8/5880 - i**6/1260 + 5*i**3/3 - 2. Let m(x) be the third derivative of j(x). Solve m(a) = 0.
-1, 0, 1
Let d(r) be the first derivative of 3*r**5/10 + 9*r**4/4 + 9*r**3/2 + 3*r**2 + 19. Factor d(p).
3*p*(p + 1)**2*(p + 4)/2
Determine w, given that 3/2*w**2 + 9/4*w + 1/4*w**3 + 0 = 0.
-3, 0
Suppose -6/13*b**5 - 36/13*b**2 - 2*b**4 - 44/13*b**3 - 14/13*b - 2/13 = 0. Calculate b.
-1, -1/3
Let a = 186907/5 - 38088. Let l = a - -709. Solve -2/5*x**4 + 8/5*x**3 - 2/5 - l*x**2 + 8/5*x = 0.
1
Let r(o) be the third derivative of -o**5/450 - o**4/18 - 5*o**3/9 + 5*o**2. Factor r(a).
-2*(a + 5)**2/15
Let u(f) be the second derivative of 1/80*f**6 - 3/2*f**2 + 2*f + 1/16*f**4 + 0*f**3 + 1/20*f**5 + 0. Let m(l) be the first derivative of u(l). Solve m(g) = 0.
-1, 0
Let k(o) = o + 1. Let m(f) = 6*f - 11. Let d(h) = 5*k(h) - m(h). Let p be d(13). Suppose -1/6*s - 1/3 + 1/3*s**2 + 1/6*s**p = 0. What is s?
-2, -1, 1
Let x(y) be the first derivative of -y**5/20 + 3*y**4/16 - y**3/4 + y**2/8 - 1. Factor x(a).
-a*(a - 1)**3/4
Let i(h) be the first derivative of 4*h - 5*h**2 - 3 + h**4 + 2/3*h**3. Factor i(t).
2*(t - 1)*(t + 2)*(2*t - 1)
Suppose 0 = f - 0*f + 9*f. Let -1/3*w**4 - 4/3*w**5 + 0 + f*w**3 + 0*w + 0*w**2 = 0. Calculate w.
-1/4, 0
Let u(b) be the second derivative of 0*b**2 + 3*b + 1/30*b**4 + 0 + 1/15*b**3. Solve u(x) = 0 for x.
-1, 0
Let g be 3/18*8/2. Factor -g*t - 2/3*t**2 + 0.
-2*t*(t + 1)/3
Let g be 2 + (1 - -316)*-1. Let o be (-1603)/g + (-2)/10. Find u, given that 4*u**2 + 26/9*u**4 + 2/9 + 14/9*u + o*u**3 + 2/3*u**5 = 0.
-1, -1/3
Let q(l) be the third derivative of -l**7/525 - l**6/150 + l**4/30 + l**3/15 - 9*l**2. Solve q(x) = 0.
-1, 1
Let y(t) = 13*t**3 + t**2 - 2*t - 6. Let k(i) = 12*i**3 - 2*i - 5. Let x = 0 - -6. Let a(c) = x*k(c) - 5*y(c). Factor a(m).
m*(m - 1)*(7*m + 2)
Let h be 2/(-7) - (-2)/7. Suppose w + h = 4. Find y, given that -y**2 + w*y**2 - 11*y**3 + 2*y**5 + 2*y - 3*y**4 + 7*y**5 = 0.
-1, -1/3, 0, 2/3, 1
Let c(m) be the third derivative of -m**6/180 + m**5/90 + m**4/18 + 6*m**2. Let c(n) = 0. What is n?
-1, 0, 2
Let n(j) be the third derivative of j**7/315 + 47*j**6/900 + 17*j**5/50 + 21*j**4/20 + 6*j**3/5 - 8*j**2. Let n(r) = 0. Calculate r.
-3, -2/5
Let v = 8 - 13. Let j(c) = 2*c**2 + 9*c - 3. Let p be j(v). Suppose 1/4*l**p - 1/4*l - 1/2 = 0. Calculate l.
-1, 2
Factor 0*s + 0 + 1/6*s**3 - 1/6*s**2.
s**2*(s - 1)/6
Let b(h) = -h**4 + h**3 - h**2 + h. Let s(g) = 4*g**4 + 8*g**3 - 12*g**2. Let u(y) = 8*b(y) + s(y). Factor u(z).
-4*z*(z - 2)*(z - 1)**2
Let d(r) = -r**4 - r**3 - r**2 + r. Let a(n) = 2*n**5 - 3*n**4 + 2*n**3 + 7*n**2 - 4*n. Let m(s) = a(s) + 2*d(s). Let m(z) = 0. Calculate z.
-1, 0, 1/2, 1, 2
Determine r so that 6/11*r**3 + 0 - 10/11*r**4 + 34/11*r**2 + 20/11*r - 2/11*r**5 = 0.
-5, -1, 0, 2
Let x(a) = -a. Suppose 4*r - 2*n + 12 = 0, 2*r + 2*r + 14 = 3*n. Let c be x(r). Factor b**c - b**3 + b**2 - b**3.
-2*b**2*(b - 1)
Factor -1/6*k**2 + 0 + 0*k**3 + 0*k + 1/6*k**4.
k**2*(k - 1)*(k + 1)/6
Let i(f) be the third derivative of 0*f - 2/33*f**3 + 1/132*f**4 + 1/330*f**5 + 2*f**2 + 0. Let i(s) = 0. Calculate s.
-2, 1
Find g, given that -1/6*g**4 - g**3 + 0 + 0*g - 3/2*g**2 = 0.
-3, 0
Let r(g) = g**3 - 23. Let s be r(0). Let u = s + 25. Factor 6 + 2/3*x**u + 4*x.
2*(x + 3)**2/3
Suppose -10 = -2*c, -2*t - 2*c + 413 = 163. Factor -4*s**3 + t*s + 252*s**2 + 51*s**3 - 12*s**3 + 16 + 63*s**3.
2*(s + 2)*(7*s + 2)**2
Let q(k) = -k**2 + k. Let x be q(1). Let y(o) be the second derivative of 2/45*o**6 + 1/10*o**5 + 1/18*o**4 + 0*o**2 + 0*o**3 + x + o. Factor y(s).
2*s**2*(s + 1)*(2*s + 1)/3
Factor 0 - 4*t**2 - 4 + 1 + 7.
-4*(t - 1)*(t + 1)
Let u(s) = -2*s + s**3 + 2 + 2*s + s**4 + s**2 - 1 - s. Let t(m) = 2*m**3 + 4*m**2 - 6*m + 3. Let w(o) = 3*t(o) - 3*u(o). Factor w(q).
-3*(q - 1)**3*(q + 2)
Let r(i) = -2*i**4 + 7*i**3 + 29*i**2 - 7. Let q(u) = -u**4 + 5*u**3 + 19*u**2 - 5. Let k(j) = 7*q(j) - 5*r(j). Suppose k(g) = 0. Calculate g.
-2, 0, 2
Suppose 2*g - 5*g + 18 = 0. Let h = g - 3. Facto