0.
-2, 0
Let o(r) = -5*r**2 - 25*r + 30. Let z(s) = 5*s**2 + 24*s - 29. Let g(v) = -4*o(v) - 5*z(v). Factor g(a).
-5*(a - 1)*(a + 5)
Let u(k) be the first derivative of -k**6/6 + k**4/4 - 38. Let u(r) = 0. Calculate r.
-1, 0, 1
Let j(f) be the second derivative of -11/30*f**4 + 4/5*f**3 + 1/3*f**6 + 4/5*f**2 + 0 - 4*f - 3/5*f**5. Factor j(i).
2*(i - 1)**2*(5*i + 2)**2/5
Let d(v) be the third derivative of v**7/4200 - v**6/900 + v**5/600 - v**3/2 - 2*v**2. Let h(q) be the first derivative of d(q). Factor h(l).
l*(l - 1)**2/5
Let w(n) = -5*n**2 + 11*n - 6. Let m be (-78)/(-9) - 4/6. Let h(g) = -2*g**2 + 4*g - 2. Let p(l) = m*h(l) - 3*w(l). Find z such that p(z) = 0.
-2, 1
Solve 16/3*d - 52/3*d**3 + 0 - 40/3*d**2 - 14/3*d**4 = 0.
-2, 0, 2/7
Let c(o) = 2*o**3 + 2*o**2 - 4*o. Let b(k) = -4*k**3 - 4*k**2 + 9*k - 1. Let g(t) = 2*b(t) + 5*c(t). What is a in g(a) = 0?
-1, 1
Suppose 6*r**2 - r**2 + 1 + 4*r**2 - 10*r**2 = 0. What is r?
-1, 1
Let 2*h**4 - 126*h**3 + 0*h**4 + 126*h**3 - 4*h**2 + 2 = 0. Calculate h.
-1, 1
Let r(l) be the first derivative of l**5/5 - 3*l**4 + 10*l**3/3 + 6*l**2 - 11*l - 8. Factor r(d).
(d - 11)*(d - 1)**2*(d + 1)
Solve 4/5 + 2/5*f**3 + 2/5*f**4 - 2/5*f - 6/5*f**2 = 0 for f.
-2, -1, 1
Let r be -1 + 4 - (-4 + 1 + 3). Let a(c) be the first derivative of -2/27*c**r - 2/9*c**2 + 0*c - 3. Solve a(d) = 0.
-2, 0
Let f = 654 + -652. Factor 0 + 2/7*m - 3/7*m**f.
-m*(3*m - 2)/7
Let m(x) = -x - 6. Let d be m(-10). Let 85*g**4 - 3*g**5 - 85*g**d = 0. What is g?
0
Let k(d) = -7*d**3 + 3*d**2 + 15*d + 7. Let u(y) = -y**3 - y**2 - y - 1. Let q(c) = -2*k(c) + 18*u(c). Solve q(s) = 0.
-2
Let w(s) be the third derivative of s**6/108 + s**5/135 - 5*s**4/108 - 2*s**3/27 - 7*s**2. Determine o, given that w(o) = 0.
-1, -2/5, 1
Let r(z) = 3*z**2 - 6*z + 3. Suppose 0 = -c - 8 - 0. Let u(s) = -s**2 + 2*s - 1. Let g(m) = c*u(m) - 3*r(m). Factor g(d).
-(d - 1)**2
Let n(j) be the first derivative of -2*j**3/15 + 8*j/5 - 13. Factor n(y).
-2*(y - 2)*(y + 2)/5
Let c be (-10)/(-6) + 5/15. Suppose -c*s = -2*a + 2, a = -2*s + 4*s - 1. Suppose -3 + 3 + p - p**a = 0. What is p?
-1, 0, 1
What is g in 12*g - 15/4*g**4 + 21/4*g**3 - 9/4*g**5 + 3 + 63/4*g**2 = 0?
-1, -2/3, 2
Let w(u) be the third derivative of u**6/300 - u**5/150 - u**4/60 + u**3/15 + 17*u**2. Factor w(j).
2*(j - 1)**2*(j + 1)/5
Let b(i) be the first derivative of i**5/270 - i**4/36 + 2*i**3/27 + 2*i**2 + 1. Let h(c) be the second derivative of b(c). Factor h(z).
2*(z - 2)*(z - 1)/9
Let k(f) be the second derivative of 0*f**2 + 0 - 1/24*f**3 + f + 1/48*f**4. Suppose k(t) = 0. Calculate t.
0, 1
Let g(t) be the third derivative of t**5/75 - t**4/15 + 2*t**2. Let g(o) = 0. Calculate o.
0, 2
Let h = 23 + -19. Factor -6/5*q**2 - 21/5*q**h - 27/5*q**3 + 0 + 0*q.
-3*q**2*(q + 1)*(7*q + 2)/5
Let c(n) be the second derivative of n**5/60 - n**4/12 - n**3/2 + 9*n**2/2 - 40*n. Find u such that c(u) = 0.
-3, 3
Factor -2/11*v + 2/11*v**2 - 2/11*v**4 + 0 + 2/11*v**3.
-2*v*(v - 1)**2*(v + 1)/11
Suppose 4*q + 0*n = -4*n - 20, -q + 5*n + 13 = 0. Let g(t) = -t + 1. Let c be g(q). Factor -6*a**3 + 6*a**2 - a - 2*a**3 + c*a.
-2*a*(a - 1)*(4*a + 1)
Factor 5*v**5 + 15*v**3 + 64*v + 15*v**4 - 64*v + 5*v**2.
5*v**2*(v + 1)**3
Suppose -5*b + 3*t + 0*t - 13 = 0, 4*b + 7 = -t. Let v be 2/9 + b/9. Solve -2/3*y**3 + v*y**2 + 0 - 4/3*y**4 - 2/3*y**5 + 0*y = 0 for y.
-1, 0
Let u = -15 - -20. Let h(j) be the third derivative of 0*j**4 + 0*j + 0 - 1/240*j**6 + 2*j**2 + 1/120*j**u + 0*j**3. Suppose h(r) = 0. Calculate r.
0, 1
Factor -16*k**4 - 8*k**2 - 2*k - 16*k**3 + 31*k**3 - 2*k + 13*k**3.
-4*k*(k - 1)**2*(4*k + 1)
Factor 1/3*m**2 - 1/3 + 1/6*m - 1/6*m**3.
-(m - 2)*(m - 1)*(m + 1)/6
Solve -8/3*n + 6*n**3 - 4*n**2 - 5/3*n**4 + 0 = 0 for n.
-2/5, 0, 2
Let j be 8/10 + (-56)/120. Let h(p) be the first derivative of 2*p - p**4 - j*p**6 + 4/3*p**3 - 6/5*p**5 + 3*p**2 + 3. What is k in h(k) = 0?
-1, 1
Let b(u) be the third derivative of -8/63*u**7 + 0*u + 2/63*u**8 + 4*u**2 + 1/18*u**5 + 0 + 5/36*u**6 - 1/9*u**3 - 5/36*u**4. Determine v, given that b(v) = 0.
-1/4, 1
Let u = 13 + -13. Let w(m) be the third derivative of u + 0*m**3 - 2*m**2 + 1/15*m**5 - 1/120*m**6 + 0*m - 1/6*m**4. Factor w(c).
-c*(c - 2)**2
Let h(f) be the third derivative of 0*f**3 - f**2 + 1/4*f**5 + 0 + 3/40*f**6 - 1/112*f**8 + 1/4*f**4 - 1/70*f**7 + 0*f. Find t such that h(t) = 0.
-1, 0, 2
Let c(n) be the first derivative of -n**7/210 - n**6/60 + n**4/12 + n**3/6 - n**2/2 + 2. Let q(b) be the second derivative of c(b). Solve q(z) = 0.
-1, 1
Let b(w) be the first derivative of 1/9*w**6 + 0*w + 0*w**2 + 6 - 2/9*w**3 + 2/15*w**5 - 1/6*w**4. Let b(f) = 0. What is f?
-1, 0, 1
Let w(m) be the third derivative of -m**5/450 + m**4/45 - m**3/15 + 15*m**2. Factor w(z).
-2*(z - 3)*(z - 1)/15
Let m(t) = -2*t - 2. Let w be m(-2). What is g in 1 - 2*g**4 - 1 + w*g**3 + 2*g**2 - 2*g**5 = 0?
-1, 0, 1
Let n(j) be the first derivative of j**5/60 - j**4/36 + 3*j + 1. Let f(r) be the first derivative of n(r). Solve f(s) = 0.
0, 1
Let z(j) be the second derivative of j**8/1344 - j**6/240 + j**4/96 + 2*j**2 + 4*j. Let i(f) be the first derivative of z(f). Factor i(b).
b*(b - 1)**2*(b + 1)**2/4
Suppose -2/7*w + 0 - 2/7*w**3 + 4/7*w**2 = 0. Calculate w.
0, 1
Let c = -1279/7 + 183. Let -8/7*u**2 + c*u + 6/7 = 0. Calculate u.
-3/4, 1
Let t(u) = u**4 + u - 1. Let h(d) = -13*d**4 + 23*d**3 - 20*d**2 - 2*d + 6. Let k(x) = -h(x) - 6*t(x). Factor k(c).
c*(c - 2)*(c - 1)*(7*c - 2)
Find r such that 1 - 7/3*r - 1/3*r**3 + 5/3*r**2 = 0.
1, 3
Let c(m) be the first derivative of m**5 + 15*m**4/4 + 10*m**3/3 + 5. Factor c(w).
5*w**2*(w + 1)*(w + 2)
Let -152 + 30*n**3 + 104 + 120*n - 58*n**2 - 3*n**4 - 41*n**2 = 0. Calculate n.
1, 4
Factor 3/2*l**3 + 3/2*l + 0 - 3*l**2.
3*l*(l - 1)**2/2
Let c(s) be the second derivative of -s**7/84 + s**6/60 + s**5/40 - s**4/24 + 9*s. Determine j so that c(j) = 0.
-1, 0, 1
Let m(j) be the third derivative of 1/6*j**5 + 0 + 1/15*j**6 + 0*j**3 + 1/12*j**4 + 0*j - j**2. Factor m(a).
2*a*(a + 1)*(4*a + 1)
Let l(y) be the first derivative of -3*y**4/20 + 7*y**3/15 - y**2/2 + y/5 - 2. Factor l(i).
-(i - 1)**2*(3*i - 1)/5
Let w be -2 - 0 - (-6723)/(-63). Let j = w - -109. Factor -j - 2/7*i**2 + 4/7*i.
-2*(i - 1)**2/7
Solve -6*b**3 + 112*b**2 - 12*b**3 - 116*b**2 = 0 for b.
-2/9, 0
Solve -94*m**2 - 51*m**5 - 47*m**5 + 41*m**3 - 350*m**4 - 196*m**2 - 80*m - 8 - 511*m**3 = 0.
-1, -2/7
Let y = 39 - 37. Let k(p) be the second derivative of 0*p**y + 0 - p + 4/3*p**3 + 1/2*p**5 - 2*p**4. Factor k(x).
2*x*(x - 2)*(5*x - 2)
Let r be (6/21)/(3/7). Determine q so that 2/3 + 2*q**2 - r*q**3 - 2*q = 0.
1
Suppose -4*q + q = 12. Let b be -1*((-8)/(-1))/q. What is x in -2*x**2 + 0 + 2/3*x - 2/3*x**4 + b*x**3 = 0?
0, 1
Let c(r) be the first derivative of -r**6/165 - r**5/110 + r**4/66 + r**3/33 - 4*r + 2. Let v(w) be the first derivative of c(w). Let v(k) = 0. What is k?
-1, 0, 1
Let r(z) = -2*z**3 - 6*z**2 + 12*z + 28. Let t(v) = -2*v**3 - 5*v**2 + 13*v + 27. Let y(d) = 3*r(d) - 4*t(d). Solve y(f) = 0.
-2, 3
Let v(i) = 25*i - 273. Let m be v(11). Factor -1/2*p**3 + 0 - p**m - 1/2*p.
-p*(p + 1)**2/2
Suppose -3*v + 5*v = 12. Let h(d) be the third derivative of 2*d**2 + 0 + 2/15*d**3 - 8/75*d**5 + 0*d - 3/100*d**v - 1/12*d**4. Factor h(a).
-2*(a + 1)**2*(9*a - 2)/5
Let g be 6/9 + 0/(-4). Factor -2*b - 4/3 - g*b**2.
-2*(b + 1)*(b + 2)/3
Let o(d) be the third derivative of 1/315*d**7 - 1/360*d**6 + 5*d**2 - 1/90*d**5 + 0*d**3 + 0 + 0*d + 0*d**4 + 1/1008*d**8. Factor o(j).
j**2*(j - 1)*(j + 1)*(j + 2)/3
Solve i**4 - 6*i**2 + i**4 - i**3 + 109*i - 93*i - 3*i**3 - 8 = 0.
-2, 1, 2
Let k(h) = 5*h**4 + 10*h**3 - 17*h**2 - 2*h. Let r(o) = 16*o**4 + 29*o**3 - 52*o**2 - 7*o. Let j(y) = -7*k(y) + 2*r(y). Factor j(u).
-3*u**2*(u - 1)*(u + 5)
Factor 1/4*s**2 + s + 0.
s*(s + 4)/4
Let u(c) = -c**2 - 120*c - 716. Let l(k) = -k**2 - 240*k - 1431. Let s(j) = 4*l(j) - 9*u(j). Factor s(x).
5*(x + 12)**2
Let g(a) be the first derivative of 0*a + 1/21*a**6 + 1 + 0*a**4 + 2/35*a**5 + 0*a**3 + 0*a**2. Factor g(b).
2*b**4*(b + 1)/7
Let h = 11 + -8. Let y = 2 + 0. Solve -4*n**h + 2*n**3 + 5*n**2 - n**2 - y*n = 0.
0, 1
Let l(h) be the second derivative of h**6/120 - h**5/80 - h**4/16 + h**3/24 + h**2/4 - 8*h. Factor l(