i) = 4*i**2 + 34*i + 48. Let r(t) = -8*n(t) - 3*s(t). Factor r(k).
4*(k + 3)*(k + 4)
Let 12*c**4 - 10*c**4 + 18*c**4 + 454*c**2 - 438*c**2 - 32*c**3 - 4*c**5 = 0. Calculate c.
0, 1, 2
Let r(d) be the second derivative of 5*d - 4/15*d**6 + 0*d**3 + 0*d**2 - 1/3*d**4 + 1/2*d**5 + 1/21*d**7 + 0. Factor r(a).
2*a**2*(a - 2)*(a - 1)**2
Let j(c) be the first derivative of -c**4/26 + 3*c**2/13 - 4*c/13 - 12. Let j(q) = 0. What is q?
-2, 1
Let t = 1 + 1. Suppose -t*a + 7 = -1. Factor -2*x - x**3 - x**2 + 3*x**3 + 6*x**a - 5*x**2.
2*x*(x - 1)*(x + 1)*(3*x + 1)
Factor -2*a**3 + 108*a**4 + 7*a**3 - 103*a**4 - 5*a**2 - 5*a**5.
-5*a**2*(a - 1)**2*(a + 1)
Let u = 123 + -83. Let x = -118/3 + u. Factor -1/3*s**2 + 1/3*s + x.
-(s - 2)*(s + 1)/3
Let s(v) be the second derivative of -25*v**6/24 + 15*v**5/16 - v**3/6 + 10*v. Determine z, given that s(z) = 0.
-1/5, 0, 2/5
Let r(k) be the third derivative of k**6/120 - k**5/15 + 5*k**4/24 - k**3/3 + 18*k**2. Find v, given that r(v) = 0.
1, 2
Let b(t) = -t**2 - 8*t - 5. Let c be b(-7). Let 10*l + 2 + 2*l**2 - 4*l**3 + 0*l + c = 0. Calculate l.
-1, -1/2, 2
Let r = 36 - 320/9. Determine i, given that 2/9*i**3 + 0*i**2 + r - 2/3*i = 0.
-2, 1
Let r(j) be the third derivative of -j**6/360 - j**5/90 - 6*j**2. Factor r(z).
-z**2*(z + 2)/3
Let q(c) be the first derivative of 2*c**5/5 - 4*c**3/3 + 2*c - 4. Solve q(y) = 0.
-1, 1
Let c(d) be the third derivative of -d**7/840 - d**4/6 + 4*d**2. Let b(r) be the second derivative of c(r). What is y in b(y) = 0?
0
Suppose 5*w - 4*w + 3 = 0. Let c be (-12*w/(-3))/(-2). Factor c*d + 0*d**3 - 3*d - 3*d**3 + 0*d**3.
-3*d*(d - 1)*(d + 1)
Suppose 3*q + 4*x = 28, 0*q = 2*q + 2*x - 16. Let r be (-4)/35 + q/10. Suppose -2/7 - 4/7*s - r*s**2 = 0. What is s?
-1
Let y(n) be the third derivative of n**5/420 + n**4/168 + 12*n**2. What is v in y(v) = 0?
-1, 0
Let x(f) be the second derivative of -2*f + 0 + 0*f**2 + 2/45*f**3 - 1/90*f**4. Factor x(t).
-2*t*(t - 2)/15
Let q(h) be the first derivative of -3*h**4/28 + h**3/7 + 3*h**2/14 - 3*h/7 - 13. Factor q(o).
-3*(o - 1)**2*(o + 1)/7
Let f(z) be the third derivative of z**6/1080 + z**3/3 - 3*z**2. Let k(s) be the first derivative of f(s). Suppose k(o) = 0. What is o?
0
What is m in -1/5*m**5 + 12/5*m + 2/5*m**2 - 11/5*m**3 + 6/5*m**4 - 8/5 = 0?
-1, 1, 2
Suppose 20 = 1159*u - 1149*u. Factor -8/7*p**u - 10/7*p - 2/7.
-2*(p + 1)*(4*p + 1)/7
Let a(o) be the third derivative of -o**5/330 + o**4/33 + 9*o**2. Factor a(n).
-2*n*(n - 4)/11
Let t(j) = j**2 - j + 1. Let r(q) = 0 - 4*q - 1 + 3 + 6*q**2. Let y(h) = r(h) - 4*t(h). Determine v, given that y(v) = 0.
-1, 1
Let -8*s**2 - 253 - 52*s + 269 - 6*s**2 = 0. What is s?
-4, 2/7
Let q(k) be the third derivative of 0 + 0*k**5 - 2/525*k**7 + 0*k**3 + 2*k**2 + 0*k - 1/840*k**8 + 0*k**4 - 1/300*k**6. Factor q(y).
-2*y**3*(y + 1)**2/5
Let f be (-2)/(-5) + (-78)/(-30). Find o such that 4*o + f - o**3 - 27*o**2 - o + 24*o**2 - 2*o**3 = 0.
-1, 1
Find v, given that -2 + 5*v**3 - 9*v**2 - 25*v - v**2 - 13 + 5*v**2 = 0.
-1, 3
Let w(t) be the third derivative of t**8/84 + 16*t**7/105 + 5*t**6/6 + 38*t**5/15 + 14*t**4/3 + 16*t**3/3 + 16*t**2. Factor w(u).
4*(u + 1)**2*(u + 2)**3
Let h(n) be the third derivative of n**8/84 + 16*n**7/105 + 5*n**6/6 + 38*n**5/15 + 14*n**4/3 + 16*n**3/3 + 23*n**2. Factor h(s).
4*(s + 1)**2*(s + 2)**3
Let o(c) be the second derivative of c**7/42 + 4*c**6/15 + 5*c**5/4 + 19*c**4/6 + 14*c**3/3 + 4*c**2 - 3*c. Suppose o(q) = 0. Calculate q.
-2, -1
Let p = 5/22 + 41/110. Factor -6/5 - 3/5*s + p*s**2.
3*(s - 2)*(s + 1)/5
Suppose -2*q = -4*i - 10, 2*i + 3*q + q = 20. Factor i - 2/7*z**2 + 0*z.
-2*z**2/7
Let r = 22 + -25. Let u(x) = -x**3 - 5*x**2. Let p(s) = -s**3 - 4*s**2. Let b(w) = r*u(w) + 4*p(w). Determine m, given that b(m) = 0.
-1, 0
Let y(u) = u + 14. Let i be y(-9). Suppose 3*v = -2*v + 5*x, -i*v + x = -4. Factor 2*f - f - f**2 + v - f**3 + 0*f.
-(f - 1)*(f + 1)**2
Suppose 0*g + 8 = 2*g. Suppose -4*m - 2*r = g, -m = 3*r + 4 + 2. Suppose 4/3*y**3 + 0*y + m - 2/3*y**2 - 2/3*y**4 = 0. Calculate y.
0, 1
Suppose 3*l - 5 = 10. Let k(b) = b**2 + 6*b + 7. Let n be k(-5). Find y, given that 4*y**l + y**n - 4*y**3 + y**3 - 2*y**2 = 0.
-1/2, 0, 1
Let g(a) be the second derivative of a**6/480 + a**5/240 - a**4/96 - a**3/2 - 3*a. Let r(h) be the second derivative of g(h). Find n such that r(n) = 0.
-1, 1/3
Suppose -12*q**3 - 2*q**4 + q**4 + 24*q**2 - 16*q - q**4 + 4*q**4 = 0. What is q?
0, 2
Suppose 4*j - 20 = -b, -6*j + 2*j = -2*b - 20. Suppose b = -2*a + 5*a. Factor -6/7*q**4 + 0*q + a + 2/7*q**2 - 4/7*q**3.
-2*q**2*(q + 1)*(3*q - 1)/7
Let k = -3 + 4. Let p be k*4/30*3. What is l in 0*l**3 - p*l**4 + 0*l + 2/5*l**2 + 0 = 0?
-1, 0, 1
Let s = 10 - 3. Suppose s*p = 2*p + 15. Solve -2/3 + 2/3*m**2 - 2/3*m**p + 2/3*m = 0.
-1, 1
Let x(t) = -6*t**3 - 6*t**2 + 4*t + 4. Let a(v) = -7*v**3 + 4*v + 4 + 3*v**2 - 13*v**2 + 3*v**2. Let p(q) = 2*a(q) - 3*x(q). Factor p(n).
4*(n - 1)*(n + 1)**2
Solve 18/7*v**3 + 0 - 2*v**5 + 10/7*v**4 - 10/7*v**2 - 4/7*v = 0 for v.
-1, -2/7, 0, 1
Let c be (1/3)/(3/45). Suppose 4*b = 5*w + 25, -c*w - 25 = 3*b - 0*w. Factor 2/3*h**4 - 2/3*h**5 + 0*h**3 + b*h**2 + 0*h + 0.
-2*h**4*(h - 1)/3
Let z(i) be the second derivative of -3/10*i**2 + 1/2*i**3 - 36/25*i**5 - 9*i + 0 + 2/5*i**4. Determine w, given that z(w) = 0.
-1/3, 1/4
Determine u so that 4*u**5 + 8 + 56*u**3 - 15*u + 24*u**4 + 64*u**2 + 32*u + 19*u = 0.
-2, -1
Let p(c) = -11*c**2 + 23*c - 11. Let b(g) = 12*g**2 - 24*g + 12. Let y(r) = 3*b(r) + 4*p(r). Let y(k) = 0. Calculate k.
1/2, 2
Let g(i) be the second derivative of -4/15*i**5 + 1/45*i**6 - 9*i**2 + i**4 + 0*i**3 + i + 0. Suppose g(m) = 0. What is m?
-1, 3
Let p(o) = -7*o**2 - 3. Let n(r) = -6*r**2 - 2. Let j(v) = -3*n(v) + 2*p(v). Factor j(m).
4*m**2
Let p(f) = -f**3 + f**2 + 2*f. Let m(l) = l**3 - 3*l**2 - 4*l. Let s(o) = 3*m(o) + 5*p(o). Factor s(n).
-2*n*(n + 1)**2
Let p(m) be the first derivative of -2*m**3/63 + m**2/7 - 4*m/21 - 30. Find l such that p(l) = 0.
1, 2
Factor 0*s - 3*s + 4*s + 3*s**2.
s*(3*s + 1)
Let u(j) be the second derivative of 1/660*j**6 + 3*j + 0*j**3 - j**2 + 1/132*j**4 + 0 - 1/165*j**5. Let h(s) be the first derivative of u(s). Factor h(a).
2*a*(a - 1)**2/11
Let o be (0 - 1) + -2 + 6. Factor u + 2*u**o + 0*u + 0*u**4 - 3*u**3 + u**2 - u**4.
-u*(u - 1)*(u + 1)**2
Let j be ((-4 + 4)/(-2))/3. Let w(v) be the third derivative of 1/300*v**6 + j*v**4 + 0*v**3 + 4*v**2 + 0*v - 1/75*v**5 + 0. Factor w(l).
2*l**2*(l - 2)/5
Let i(a) be the first derivative of a**4/60 + 2*a**3/15 + 2*a**2/5 - 2*a - 5. Let w(j) be the first derivative of i(j). Solve w(l) = 0 for l.
-2
Suppose n - 2 + 0 = 0. Solve 1/2*f + 0 - 1/2*f**n = 0.
0, 1
Suppose -12 = -3*n - 3. Factor -c**3 + 2*c**n - c**4 + 0*c**4 - 2*c**4 - c + 3*c**2.
-c*(c - 1)*(c + 1)*(3*c - 1)
Suppose 7*b + 8 = 29. Let t be (-2)/b*39/(-52). Suppose -w + t + 1/2*w**2 = 0. Calculate w.
1
Let a(r) = 153*r**3 + 80*r**2 + 17*r. Let w(d) = 77*d**3 + 40*d**2 + 8*d. Let y(q) = 3*a(q) - 7*w(q). Factor y(n).
-5*n*(4*n + 1)**2
Factor 2/3*r + 1/9*r**2 - 1/9*r**4 + 0 - 2/3*r**3.
-r*(r - 1)*(r + 1)*(r + 6)/9
Let z(y) be the second derivative of y**5/20 + y**4/4 - 7*y**3/6 + 8*y. Let n(f) = 2*f**3 + 2*f**2 - 6*f. Let b(c) = -3*n(c) + 2*z(c). Factor b(k).
-4*k*(k - 1)*(k + 1)
Let j(y) be the third derivative of -y**6/360 + y**4/72 + 5*y**2. Suppose j(w) = 0. What is w?
-1, 0, 1
Let r(g) be the second derivative of 5*g**4/24 - 5*g**2 - 9*g. Factor r(t).
5*(t - 2)*(t + 2)/2
Let a(y) be the third derivative of y**6/40 - y**4/8 - 6*y**2. Factor a(s).
3*s*(s - 1)*(s + 1)
Suppose -2*i = -3*i + 2. Find l, given that 4 - 3 + 3*l - l**i - 3*l = 0.
-1, 1
Factor 2/13*f**2 + 4/13*f + 2/13.
2*(f + 1)**2/13
Let a(g) be the first derivative of -21*g**4/4 - 26*g**3 + 12*g**2 - 3. Factor a(d).
-3*d*(d + 4)*(7*d - 2)
Suppose -g - 5 = -i - 3*i, -2*g - 2*i + 10 = 0. Find j, given that 3*j**3 - g*j**3 + j**4 - j**2 = 0.
-1, 0, 1
Suppose 0*z - z - 2*h = 0, 0 = 3*z - 3*h - 27. Let v(f) = -f**2 + f - 1. Let p(c) = -c**5 - 2*c**4 - 6*c**2 + 6*c - 6. Let s(y) = z*v(y) - p(y). Factor s(b).
b**4*(b + 2)
Suppose 4/7*u**2 + 0*u + 0 + 2/7*u**3 = 0. What is u?
-2, 0
Let -2/11*z**3 - 2166/11*z - 114/11*z**2 - 13718/11 = 0. Calculate z.
-19
Let m be (-40)