ivative of p(r). Factor i(x).
-x**3*(x - 1)*(x + 1)/6
Let o(a) be the first derivative of -a**5/25 + a**3/15 + 8. Find m, given that o(m) = 0.
-1, 0, 1
Let b(j) be the first derivative of 0*j - 2 - 1/4*j**2 + 1/4*j**3. Determine k, given that b(k) = 0.
0, 2/3
Let g be (55/(-44))/((-1)/40). Let m be ((-20)/g)/(-1 + 0). Factor -2/5*y**2 + m*y**3 - 2/5*y + 0 + 2/5*y**4.
2*y*(y - 1)*(y + 1)**2/5
Let n = -980/9 + 109. Let i(p) be the second derivative of 0 + n*p**3 + 2*p + 1/6*p**4 + 0*p**2. What is c in i(c) = 0?
-1/3, 0
Solve 1/2*y**4 + 1 + 9/2*y**2 + 5/2*y**3 + 7/2*y = 0 for y.
-2, -1
Let y(d) be the third derivative of 1/1008*d**8 + 0*d + 0*d**3 - 1/315*d**7 + 0 + 1/90*d**5 + 0*d**4 + 5*d**2 - 1/360*d**6. Factor y(b).
b**2*(b - 2)*(b - 1)*(b + 1)/3
Let v = 29/123 + 4/41. Let l = 4/29 + 17/87. Find p such that 1/3*p**2 - v - l*p + 1/3*p**3 = 0.
-1, 1
Let g(p) be the third derivative of p**5/75 - p**4/6 + 8*p**3/15 + 4*p**2. Factor g(l).
4*(l - 4)*(l - 1)/5
Factor 8*q**2 - 11*q**2 + q**3 + 2*q**3.
3*q**2*(q - 1)
Suppose 0 = 4*l - 63 + 19. Suppose 10*n**5 + 14*n**4 + 3*n - l - 26*n**3 - 43*n - 62*n**2 + 3 = 0. What is n?
-1, -2/5, 2
Let u(k) = k**2 + 10*k + 11. Let n be u(-9). Let -2/5*z**n - 4/5*z - 2/5 = 0. What is z?
-1
Let k(p) be the first derivative of -p**8/560 + p**6/60 - p**4/8 - 5*p**3/3 - 3. Let j(m) be the third derivative of k(m). Suppose j(u) = 0. What is u?
-1, 1
Let q(f) be the second derivative of f**7/10080 - f**6/1440 + f**5/480 - f**4/2 - 6*f. Let i(s) be the third derivative of q(s). Let i(a) = 0. Calculate a.
1
Find r, given that r**3 - 10*r**4 + 10*r**3 + 4*r**3 - 5*r**2 = 0.
0, 1/2, 1
Let c be 3 + -3 - 2 - 0. Let q be c + 2 + (-10)/(-35). Factor 0 + q*u**2 - 2/7*u.
2*u*(u - 1)/7
Factor 121/6 - 33/2*x - 1/6*x**3 - 7/2*x**2.
-(x - 1)*(x + 11)**2/6
Let a(j) be the first derivative of 9 - 4/5*j**2 - 9/5*j**4 + 4/5*j**5 + 0*j - 2/15*j**6 + 28/15*j**3. Let a(q) = 0. What is q?
0, 1, 2
Let q(p) be the second derivative of 0 - 1/4*p**4 - 3/2*p**2 + 7*p - p**3. Factor q(z).
-3*(z + 1)**2
Suppose -2*s - 2 = -c + 1, -5*s = 0. Let -2 + 5*o**c - 6*o - 2*o**5 + 19/2*o**2 - 9/2*o**4 = 0. Calculate o.
-2, -1/4, 1
Let m = -9179/8 - -834737/728. Let h = 21/13 + m. Solve -4/7 - h*j - 2/7*j**2 = 0 for j.
-2, -1
Let d be 1/4 + (-57)/(-12). Let p be (-4 - -1) + d + -2. Factor -2/5*u**2 + 0*u + p.
-2*u**2/5
Let w be (-2 - -3)/(1/2). What is h in h**5 + 4*h**4 - w*h**3 - 3*h**5 + 3*h - 3*h = 0?
0, 1
Let h(s) be the first derivative of -2 + 1/3*s**2 - 2/15*s**5 + 0*s + 2/9*s**3 - 1/6*s**4. Find w such that h(w) = 0.
-1, 0, 1
Suppose -13*x + 7 = -45. Factor 0*r + 0 + 4/5*r**2 - 14/5*r**3 + 2*r**x.
2*r**2*(r - 1)*(5*r - 2)/5
Let d(y) be the second derivative of 2*y**6/135 + y**5/18 - y**4/18 + 2*y - 2. Solve d(j) = 0 for j.
-3, 0, 1/2
Suppose -20*p**3 - 21*p + 12*p**2 + 3 - 2 + 9 + 19*p**3 = 0. What is p?
1, 10
Let q(w) = 3*w**4 + 4*w**3 - 5*w**2 + 2*w - 4. Let p(a) = -a**3 - a**2 + a + 1. Let n(b) = 4*p(b) + q(b). Factor n(o).
3*o*(o - 1)**2*(o + 2)
Suppose 0 = r - 0*r - 2. Suppose 2*c + 2*h = 4, -2*h + 16 = r*c - 6*h. Factor -2/7*d**c + 4/7*d**2 + 2/7*d**5 + 2/7*d - 2/7 - 4/7*d**3.
2*(d - 1)**3*(d + 1)**2/7
Let h(l) be the third derivative of -2*l**7/105 - l**6/30 + l**5/5 + l**4/6 - 4*l**3/3 + 23*l**2. Factor h(b).
-4*(b - 1)**2*(b + 1)*(b + 2)
Factor -3*c**3 - 3*c**2 - 6*c**3 + 12*c**3.
3*c**2*(c - 1)
Let 0*g**4 + 0*g**2 + 2/7*g**5 + 0*g**3 + 0 + 0*g = 0. What is g?
0
Let k(s) = -4*s**3 + s**2 + 18*s - 18. Let v(w) = 2*w + 1. Let y(p) = -4*k(p) - 36*v(p). Find c such that y(c) = 0.
-3, 1/4, 3
Let k(n) be the second derivative of n**4/16 - 5*n**3/4 + 75*n**2/8 - 23*n. Solve k(a) = 0 for a.
5
Let g be (0 + -1)/((-27)/18 - 0). Let f be 2/(-4)*(-2)/3. Solve g - f*s - 1/3*s**2 = 0.
-2, 1
Suppose 51 = 3*o + 3. Suppose 7*t = 3*t + o. Solve 8*s**2 + 8*s**t + 2*s - 3*s**3 + 0*s + 2*s**5 + 15*s**3 = 0.
-1, 0
Suppose y = -y + 2. Let g(z) = 19*z**2 + 1. Let t be g(y). Solve 13*m**4 - 13*m**4 + 8 + t*m + 27*m**5 - 45*m**3 - 10*m**2 = 0.
-2/3, 1
What is w in 20/21*w**2 + 2/21*w**3 + 50/21*w + 0 = 0?
-5, 0
Let f(d) be the second derivative of 3*d**5/100 + d**4/4 - 4*d**3/5 - 18*d**2/5 - 15*d - 1. Factor f(s).
3*(s - 2)*(s + 1)*(s + 6)/5
Let a(z) be the first derivative of z**3/9 - z**2/3 - 18. Suppose a(v) = 0. Calculate v.
0, 2
Let x(w) = w + 5. Let m(b) = b + 6. Let u(f) = -4*m(f) + 5*x(f). Let t be u(3). What is d in 0*d**3 - 2/7*d**5 + 0 - 8/7*d**2 + 0*d + 6/7*d**t = 0?
-1, 0, 2
Let d(q) be the third derivative of -1/168*q**8 - 16/3*q**3 - 4/15*q**6 + 4/15*q**5 - 2*q**2 + 0 + 4/3*q**4 + 0*q + 1/15*q**7. Factor d(n).
-2*(n - 2)**4*(n + 1)
Let u = 13600393/546 - 74726/3. Let h = u + 2/91. Factor h*b - 1/4 - 1/4*b**2.
-(b - 1)**2/4
Let j(a) = -2*a - 4. Let t be j(4). Let n = -4 - t. Determine k, given that 0 + 8*k**2 + 0 - 2*k**2 + 2*k - n*k**3 = 0.
-1/4, 0, 1
Let u(p) be the second derivative of 2/5*p**5 - 6*p - 2/21*p**7 + 0*p**4 + 0 + 0*p**3 - 2/15*p**6 + 0*p**2. Suppose u(l) = 0. What is l?
-2, 0, 1
Let c be (-5)/(-14)*(-3)/((-30)/16). What is i in -2/7*i - c*i**2 + 2/7*i**5 + 0*i**3 + 0 + 4/7*i**4 = 0?
-1, 0, 1
Let o(k) = 2*k**2 + 3*k + 5. Suppose 0 = -5*u + 2*q + 21, -3*q = 2*u - 5 - 11. Let b(m) = 3*m**2 + 6*m + 9. Let n(i) = u*b(i) - 9*o(i). Let n(r) = 0. What is r?
0, 1
Factor -16/5*j + 2/5*j**2 + 32/5.
2*(j - 4)**2/5
Let i(w) = w**2 - 2*w + 18. Let u(c) = c**2 - 3*c + 37. Let m(g) = -13*i(g) + 6*u(g). Let l(o) = -6*o**2 + 9*o - 12. Let p(s) = 4*l(s) - 3*m(s). Factor p(y).
-3*(y - 2)**2
Let 2*g - 4*g**2 - 3*g - 3*g = 0. What is g?
-1, 0
Let k(a) = -5*a**3 - 17*a**2 - 20*a. Let z(r) = -5*r**3 - 18*r**2 - 20*r. Let h(c) = 2*k(c) - 3*z(c). Factor h(f).
5*f*(f + 2)**2
Let g(v) be the second derivative of v**5/5 + 5*v**4/3 + 21*v. What is c in g(c) = 0?
-5, 0
Let q(i) be the first derivative of -i**4/16 + i**3/6 + 7*i**2/8 + i + 12. Factor q(r).
-(r - 4)*(r + 1)**2/4
Let r = 409/11 + -37. Factor -6/11*y - 2/11*y**3 + r + 6/11*y**2.
-2*(y - 1)**3/11
Find v, given that 13*v - 32*v + 16*v - 3*v**2 = 0.
-1, 0
Let i be 6 + (-24)/20*2. Factor -i - 2/5*n**2 + 12/5*n.
-2*(n - 3)**2/5
Let v = -7/2 - -15/4. Let n(q) be the first derivative of 2 - 1/12*q**3 - v*q - 1/4*q**2. Factor n(c).
-(c + 1)**2/4
Let u(b) be the third derivative of b**6/360 - b**4/24 + b**3/3 + b**2. Let g(o) be the first derivative of u(o). Let g(h) = 0. Calculate h.
-1, 1
Find o such that -49*o**4 + 45*o**2 + 63*o**3 - 3 - 59*o**4 - 3*o + 6*o**2 = 0.
-1/3, 1/4, 1
Let j be ((-1)/9)/(7/(-168)*4). Find a such that -1/3*a**2 - j*a - 1/3 = 0.
-1
Suppose -2*v + 4 = 4*a, 4*v + 0*v - 4*a = 32. Suppose x = 5*m + 15, 4*x - m + 3*m + v = 0. Factor x - 2/5*o**2 - 2/5*o.
-2*o*(o + 1)/5
Let u be (7/(-16))/(9/(-12)). Let m = u + -1/12. Factor -3/2*x + m*x**2 + 1.
(x - 2)*(x - 1)/2
Factor -1/5*p**4 - 3/5*p**3 - 1/5*p + 0 - 3/5*p**2.
-p*(p + 1)**3/5
Suppose j + 2*j - 15 = 0. Let k be 1 - -2*(-1)/j. Factor -3/5*q**4 - 1/5*q**5 + 0*q - 1/5*q**2 - k*q**3 + 0.
-q**2*(q + 1)**3/5
Let t(s) be the first derivative of 3/2*s**2 + 1/48*s**4 + 1/120*s**5 + 1 + 0*s - 1/6*s**3. Let j(k) be the second derivative of t(k). Factor j(r).
(r - 1)*(r + 2)/2
Find b, given that -1 - 44*b + 38*b**3 - 11*b**3 - 7 - 30*b**2 = 0.
-2/3, -2/9, 2
Let g(y) = 2*y**2 + 4*y. Let s be g(-3). Suppose 7 = -s*h + 19. Factor -14/5*z**h - 4/5 - 18/5*z.
-2*(z + 1)*(7*z + 2)/5
What is l in -1/4 - 1/4*l - 3/4*l**3 + 5/4*l**2 = 0?
-1/3, 1
Let p(o) be the first derivative of -3*o**3/5 - 3*o**2/10 + 5. Solve p(t) = 0.
-1/3, 0
Suppose -28 = -5*k - 2*q, -2*k = -3*k - 2*q + 12. Let j - j**5 - j - j**3 - 26*j**4 + 28*j**k = 0. Calculate j.
0, 1
Suppose -k + 20 = 5*r, -2*k - 3 = 2*r - 11. Factor -7/4*u**3 + k + 5/4*u**2 + 1/2*u.
-u*(u - 1)*(7*u + 2)/4
Factor -7*c**2 + 50*c - c**2 + 125 + 13*c**2.
5*(c + 5)**2
Let j(i) be the third derivative of 0*i**4 + 0 + 0*i - 1/9*i**3 + 1/90*i**5 - i**2. Determine r, given that j(r) = 0.
-1, 1
Let i(f) be the second derivative of -5*f**7/168 + 3*f**5/16 - 5*f**4/24 + 4*f. What is j in i(j) = 0?
-2, 0, 1
Let o(h) = h**5 - h**4 + h**3 + h - 1. Let b(r) = -r**5 + 7*r**4 - r**3 - 3*r + 3. Let a(f) = 2*b(f) + 6*o(f). Factor a(k).
4*k**3*(k + 1)**2
Determine q so that -1/6*q**3 - 1/2*q**2 + 0 - 1/3*q = 0.
-2, -1, 0
Let m(l