l + r. Factor 0*i**5 - i - l*i**5 + 4*i**3 - i.
-2*i*(i - 1)**2*(i + 1)**2
Let d be 42/(-1008)*(34/35 + -1). Let b(h) be the third derivative of 0*h**5 + 0 + 1/168*h**4 + 0*h**3 + 0*h - d*h**6 + h**2. Factor b(c).
-c*(c - 1)*(c + 1)/7
Let x(b) = b**4 + b**2 + b + 1. Let t(m) = m**5 - 11*m**4 - 2*m**3 - 11*m**2 - 10*m - 11. Let p(n) = 2*t(n) + 22*x(n). Let p(w) = 0. What is w?
-1, 0, 1
Let g be (-2)/(-3)*(-18)/(-48). Factor -g*r - 1/4*r**2 + 0.
-r*(r + 1)/4
Suppose -6*d**3 - 8/3*d + 0 + 8*d**2 = 0. Calculate d.
0, 2/3
Suppose -8 = 2*j + 5*a, -j + 7 = -2*a + 2. Let q = j - -1. Factor i**q + 4*i**2 - 4*i**2 - 1.
(i - 1)*(i + 1)
Let b = 0 + 1/3. Let m be 1 + -3 + 0 - 1*-2. Suppose -b*w**3 + 0*w**2 + 0 + m*w + 1/3*w**4 = 0. What is w?
0, 1
Let u(x) be the first derivative of 4*x**5/5 - 6*x**4 + 52*x**3/3 - 24*x**2 + 16*x - 6. Factor u(p).
4*(p - 2)**2*(p - 1)**2
Let u(i) be the second derivative of -i**4/4 - i**3/2 - 9*i. Find j, given that u(j) = 0.
-1, 0
Suppose 0*p + p - 1 = 0. Factor -8*s**2 - 3 - 2*s**3 - p + 3*s**3 - 10*s - 3*s**3.
-2*(s + 1)**2*(s + 2)
Let l(r) = 3*r - 2. Let p be l(2). What is o in 22*o**p + 9*o**3 + 0*o**2 - 25*o**4 - 9*o**2 + 3*o = 0?
0, 1
Let t(w) be the third derivative of -w**7/1120 + w**6/240 + w**3/2 - w**2. Let b(a) be the first derivative of t(a). Determine x, given that b(x) = 0.
0, 2
Let g(f) be the third derivative of -f**7/350 - f**6/40 + 13*f**5/100 - 7*f**4/40 - 3*f**2 + 14*f. Find o, given that g(o) = 0.
-7, 0, 1
Let o(b) = -7*b**2 + 9*b. Let g(m) = -3*m**2 + 3*m - 3. Let j(y) = 7*y**2 - 7*y + 7. Let z(x) = -5*g(x) - 2*j(x). Let h(t) = o(t) - 2*z(t). Factor h(f).
-(f - 1)*(9*f - 2)
Let h be (-108)/(-20) - (-2)/(-5). Let g(w) be the first derivative of -1/6*w**6 + 0*w**h + 0*w**2 + 0*w**3 + 0*w + 2 + 1/4*w**4. Factor g(l).
-l**3*(l - 1)*(l + 1)
Let -8/3*p + 0 + 64/3*p**2 + 98/3*p**4 - 154/3*p**3 = 0. What is p?
0, 2/7, 1
Let b be (-5)/(-3)*54/18. Suppose 3*h = 4*s + 8*h + b, 0 = 4*s + h - 15. Factor 2/13*a**s + 0 + 4/13*a**4 + 2/13*a**3 + 0*a + 0*a**2.
2*a**3*(a + 1)**2/13
Let v(w) be the first derivative of w**3/3 + 3*w**2/2 + 2*w + 4. Suppose v(o) = 0. Calculate o.
-2, -1
Let b(z) be the third derivative of -z**5/60 + z**4/6 + 5*z**3/6 + 21*z**2. Factor b(m).
-(m - 5)*(m + 1)
Suppose 2*c - 15 = -5*m + 1, -4*c = m - 50. Suppose -c*r = -10*r. Factor r + 2/3*x + 2/3*x**2.
2*x*(x + 1)/3
Let o be 30/7 + 2/(-7). Suppose q = o*q. Factor -1/2*v**3 + q*v + 2*v**4 + 0*v**2 + 0.
v**3*(4*v - 1)/2
Let t(h) be the second derivative of -h**2 + 0 - 5*h + 1/6*h**3 + 1/12*h**4. Factor t(o).
(o - 1)*(o + 2)
Let b(q) be the first derivative of q**8/2100 - q**7/1400 - q**6/1800 - q**3/3 - 3. Let s(r) be the third derivative of b(r). Let s(f) = 0. What is f?
-1/4, 0, 1
Let d = -47/26 + 30/13. Let x(o) be the second derivative of d*o**2 + o + 0 - 1/10*o**5 - 1/30*o**6 + 1/3*o**3 + 0*o**4. Factor x(b).
-(b - 1)*(b + 1)**3
Let r(m) = 2*m - 9. Let h be r(6). Factor 3*k**4 + k**h - 3*k - 3*k**2 - k**3 + 0*k + 3*k**3.
3*k*(k - 1)*(k + 1)**2
Let o(t) be the second derivative of 0*t**6 + 1/15*t**5 - 1/63*t**7 - 7*t + 0*t**4 + 0 - 1/9*t**3 + 0*t**2. Factor o(r).
-2*r*(r - 1)**2*(r + 1)**2/3
Let c = 1453 + -152564/105. Let k(h) be the third derivative of -c*h**7 - 1/3*h**3 + 1/15*h**5 + 0 + 0*h**4 + 0*h + 0*h**6 + 2*h**2. Solve k(t) = 0 for t.
-1, 1
Let z(v) be the first derivative of v**6/720 + v**5/120 + v**4/48 + v**3 + 1. Let b(u) be the third derivative of z(u). Solve b(g) = 0.
-1
Let l be 228/38 + -4 + 1/1. Solve 0*o**2 - 2/5*o**l + 4/15*o**4 + 0 + 2/15*o = 0.
-1/2, 0, 1
Factor -4/5 + 1/5*u + 14/5*u**2 + 9/5*u**3.
(u + 1)**2*(9*u - 4)/5
Determine r so that -3*r**5 - 57*r**2 - 30*r**3 + 4*r**4 - 44*r**3 + 151*r**2 - 51*r + 21*r**4 + 9 = 0.
1/3, 1, 3
Let k(q) be the third derivative of q**6/30 - 3*q**5/5 + 5*q**4/2 - 14*q**3/3 + 3*q**2. Factor k(m).
4*(m - 7)*(m - 1)**2
Let c(h) = -5*h**3 - 60*h**2 + 130*h - 75. Let j(i) = 5*i**3 + 60*i**2 - 131*i + 74. Let z(v) = -4*c(v) - 5*j(v). Let z(o) = 0. What is o?
-14, 1
Let n(v) = v**3 - 12*v**2 - 18*v - 13. Let g be n(13). Let a be ((-5)/(-3))/((-65)/g). Factor 7/2*j**3 + 0 + j - 9/2*j**a.
j*(j - 1)*(7*j - 2)/2
Let z(o) be the second derivative of o**6/180 + o**5/60 - 5*o**4/72 - o**3/6 - 12*o. Solve z(q) = 0 for q.
-3, -1, 0, 2
Suppose 6*n**3 - 4*n**2 - 2*n**4 - 8*n**2 - 2*n**4 + 10*n**3 = 0. Calculate n.
0, 1, 3
Suppose -3*b - 3*o - 54 = 0, 3*b = 6*b - 4*o + 33. Let y be (-1)/1 + (-20)/b. Find k, given that 0*k**2 - 1/3*k**3 + 0*k**4 + 0 + 0*k + y*k**5 = 0.
-1, 0, 1
Let l(q) = -7*q**3 - 7*q**2 + 3*q + 7. Let h(o) = 22*o**3 + 22*o**2 - 8*o - 22. Let p(c) = 2*h(c) + 7*l(c). Determine u so that p(u) = 0.
-1, 1
Suppose -5*i + 15 = -0*i. Let l be 22/4 + i/(-1). Find b such that 0*b - b**2 + 0 + l*b**3 = 0.
0, 2/5
Suppose -a + 1 = -2. Let p(x) be the first derivative of -1/3*x**a - 1/5*x**5 + 1/2*x**4 - 1 + 0*x + 0*x**2. Factor p(t).
-t**2*(t - 1)**2
Let z(i) be the first derivative of -2*i**3/39 - 2*i**2 - 26*i + 21. Factor z(y).
-2*(y + 13)**2/13
Factor 2/3*m**5 + 2/3*m**4 + 0*m**2 + 0*m - 4/3*m**3 + 0.
2*m**3*(m - 1)*(m + 2)/3
Let k(w) be the third derivative of w**6/420 + 23*w**5/420 - 13*w**4/168 - 2*w**3/7 - 70*w**2. Suppose k(v) = 0. Calculate v.
-12, -1/2, 1
Let o(z) be the first derivative of z**6/120 + z**5/20 - 4*z**3/3 - 5. Let q(a) be the third derivative of o(a). Solve q(j) = 0.
-2, 0
Let s(p) = -p**3 + 10*p**2 - 13*p + 10. Let j be s(9). Let d = -24 - j. Factor 0*y**d + 0 + 8/5*y**4 + 6/5*y**3 + 3/5*y**5 - 1/5*y.
y*(y + 1)**3*(3*y - 1)/5
Let q be (-57)/21 + (-6)/(-2). Factor 0 + q*y + 9/7*y**2.
y*(9*y + 2)/7
Let m be ((-6)/21)/((-1)/(-58)). Let k = m - -118/7. Factor 0 - 16/7*t**3 - k*t**5 + 0*t + 8/7*t**2 + 10/7*t**4.
-2*t**2*(t - 2)**2*(t - 1)/7
Let m be (4 - -5) + (-15 - -10). Factor 3/4*l**3 + 0*l + 1/4*l**5 + 0 - 3/4*l**m - 1/4*l**2.
l**2*(l - 1)**3/4
Let u(x) be the second derivative of 1/24*x**4 + 0 - x**2 + 1/120*x**5 + 0*x**3 - 2*x. Let w(f) be the first derivative of u(f). Let w(b) = 0. Calculate b.
-2, 0
Let y(k) be the second derivative of -k**4/20 + 2*k**3/5 - 6*k**2/5 - 6*k. Factor y(u).
-3*(u - 2)**2/5
Let o be (6 + -6)*2/4. Let t(f) be the second derivative of 0*f**3 + 2*f + 0*f**2 + o + 1/18*f**4 + 2/45*f**6 - 1/10*f**5. What is q in t(q) = 0?
0, 1/2, 1
Let r = 347/168 + -15/8. Let y(c) be the second derivative of r*c**3 + 1/42*c**4 + 4/7*c**2 + c + 0. Factor y(i).
2*(i + 2)**2/7
Let a(n) be the first derivative of -1/6*n**4 + 0*n + 0*n**3 - 4 + 0*n**2 - 2/5*n**5 - 1/4*n**6. Find z, given that a(z) = 0.
-2/3, 0
Let s(b) be the first derivative of 3*b**4 - 32*b**3/3 + 14*b**2 - 8*b + 6. Factor s(q).
4*(q - 1)**2*(3*q - 2)
Suppose 10 = -5*c + 25. Suppose -c*n = 2*n. Determine f, given that 0 + 0*f**2 + n*f + 2/9*f**3 - 2/9*f**4 = 0.
0, 1
Let y = -286/5 - -58. Let a(z) = z - 4. Let f be a(6). Factor 6/5*i**2 + f*i + y.
2*(i + 1)*(3*i + 2)/5
Let o(j) be the second derivative of -j**5/120 + j**4/36 - j**3/36 + 5*j. Factor o(a).
-a*(a - 1)**2/6
Suppose -2*m**2 - 2/5*m**4 + 4/5*m + 0 + 8/5*m**3 = 0. What is m?
0, 1, 2
Let c(h) be the first derivative of 3*h**5/5 + 3*h**4/2 - 3*h**2 - 3*h - 16. Let c(l) = 0. Calculate l.
-1, 1
Let s(i) be the first derivative of -1/9*i**3 - 1 + 0*i**2 + 1/12*i**4 + 0*i. Suppose s(w) = 0. What is w?
0, 1
Let x(v) = -v**2 - 8*v + 4. Let h be x(-6). Suppose 5*k = -5*p + 5, 0*p + p - 4*k = h. Factor -p*s - 2*s**4 + s**5 - 2*s + 5*s + 2*s**2.
s*(s - 1)**3*(s + 1)
Let o(c) = -7*c**4 + 4*c**3 - 3*c - 3. Let s(r) = -20*r**4 + 12*r**3 - 8*r - 8. Let k(g) = -8*o(g) + 3*s(g). Factor k(v).
-4*v**3*(v - 1)
Let x = 8 + -5. Suppose -x*l**2 + 4*l**3 + 4 + 0 - 3*l**3 = 0. Calculate l.
-1, 2
Let t be (1350/(-20))/(1/(-2)). Let y = t + -943/7. Factor y*k**3 + 0*k**2 + 0*k + 2/7*k**5 + 0 + 4/7*k**4.
2*k**3*(k + 1)**2/7
Let q(h) be the third derivative of 0*h + 0*h**3 - 3*h**2 - 1/150*h**5 - 1/60*h**4 + 0. Factor q(j).
-2*j*(j + 1)/5
Let j(n) = 12*n**3 + 16*n**2 + 4*n - 6. Let l(o) = o**3 + o - 1. Let v(r) = -2*j(r) + 4*l(r). Factor v(b).
-4*(b + 1)**2*(5*b - 2)
Let c be ((-4)/(-14))/((-6)/(-21)). Let j = -2 + 4. Let 3*f - f**j - c - 1 + 0 = 0. What is f?
1, 2
Let b = -756 - -5296/7. Factor -4/7*w**2 - b*w + 0.
-4*w*(w + 1)/7
Let s be (0/(2 + 0))/(-1). 