*b - 2/3*l**2 + 0. Factor v(n).
-(n + 2)**2/3
Let p(m) be the third derivative of -1/30*m**3 + 0*m - 1/210*m**7 + 1/60*m**6 + 12*m**2 + 1/24*m**4 + 0 + 1/1680*m**8 - 1/30*m**5. Factor p(l).
(l - 1)**5/5
Let s(x) be the third derivative of -x**6/90 + 13*x**5/135 - 4*x**4/27 - 8*x**3/9 - 2*x**2 + 27. Let s(b) = 0. Calculate b.
-2/3, 2, 3
Factor 0 + 4/5*z**2 + 0*z**3 + 0*z - 4/5*z**4.
-4*z**2*(z - 1)*(z + 1)/5
Let p(v) = -v**3 - 4*v**2 - 5*v - 94. Let b be p(-6). Let i(d) be the first derivative of 2/9*d**3 - 1/3*d**2 - 4/3*d - b. Determine x so that i(x) = 0.
-1, 2
Let o(d) = 6*d - 17. Let c be o(6). Determine t, given that t**3 + 7 + 1 - t**2 - 8*t**3 + c*t**2 - 20*t + t**4 = 0.
1, 2
Suppose 2*o - f - 7 = 5*o, 0 = 5*f - 10. Let t be ((-20)/16 + -2)*-1 + o. Determine v, given that 0 - 3/4*v**3 + t*v**5 + 1/2*v**4 + 0*v + 0*v**2 = 0.
-3, 0, 1
Find f, given that -5 - 25*f + f**3 - f**5 + 2*f**2 + 11*f + 5*f + 3*f**4 + 9*f**3 = 0.
-1, 1, 5
Let 1/3*g**2 + 4 + 8/3*g = 0. What is g?
-6, -2
Suppose -4*b + 229 = 217. What is f in 2/3*f**2 + 0 + 4/3*f - 2/3*f**4 - 4/3*f**b = 0?
-2, -1, 0, 1
Suppose 6*r - 868 = -5*w + 10*r, 5*w = -r + 883. Let s = -174 + w. Factor 2*q**3 + s*q**4 + 0*q + 0 + 2/3*q**2 + 2/3*q**5.
2*q**2*(q + 1)**3/3
Let v(c) be the third derivative of -c**7/735 - c**6/35 - 8*c**5/105 + 4*c**4/7 + 80*c**3/21 + 235*c**2. Suppose v(a) = 0. What is a?
-10, -2, 2
Let u(i) = -7*i + 9*i + 10*i. Let n be u(2). Factor n*b**4 + 6*b**4 - 12*b**3 - 10*b**3 + 4*b**2.
2*b**2*(3*b - 1)*(5*b - 2)
Suppose -4*j = -c + 15, 10*c - 4*j = 6*c. Let l be (0 + c)*((-60)/(-25))/(-6). Factor -1/2*r**3 - 5/2*r + 1 + l*r**2.
-(r - 2)*(r - 1)**2/2
Let i(l) = -l + 13. Let f be i(8). Suppose 2*q + 18 = 4*u, -f*u + 12 = 2*q - q. Find n such that -2*n**3 + u*n**3 + 2*n**3 - 3*n**2 = 0.
0, 1
Let b be -8 + 1 + 11 - (0 - -4). Factor -36*a**4 - 12*a**2 + b - 4/3*a - 36*a**3.
-4*a*(3*a + 1)**3/3
Let t be -8*(2/(-42) - (-2)/(-7)). Let z(i) be the first derivative of -t*i + 1/12*i**4 - 2/3*i**2 + 2/9*i**3 - 2. Factor z(b).
(b - 2)*(b + 2)**2/3
Let n(z) = z - 2. Let q be n(6). Find c such that -q*c**5 + 579*c**4 - 579*c**4 = 0.
0
Suppose 2*b = -8*p + 7*p, -p + 5*b = -7. Let h(o) be the first derivative of 5*o**p - 4*o - 8/3*o**3 - 5 + 1/2*o**4. Let h(j) = 0. Calculate j.
1, 2
Solve -2*j + 5/4*j**2 + 3/4 = 0 for j.
3/5, 1
Suppose -6*i = -31 - 47. Determine c so that -14*c + 3 + 10*c**2 + i*c**3 + 3 - 9*c**3 - 6*c**3 = 0.
1, 3
Suppose 3*w - 3 = 3. Suppose -w*d = -4*d + 2. Factor 0 - d + o**3 - 2*o**3 + o + o**2.
-(o - 1)**2*(o + 1)
Let q = 83 + -28. Factor q*t**5 + 0*t**2 + 43*t**4 + 22*t**4 + 10*t**3 + 0*t**2.
5*t**3*(t + 1)*(11*t + 2)
Let r be 63/15 + 84/(-420). Let b(z) be the second derivative of -3/160*z**5 - 7*z + 0 + 0*z**2 - 9/16*z**3 + 3/16*z**r. Factor b(q).
-3*q*(q - 3)**2/8
Solve 14*g**4 - 9*g**2 - 11*g**4 - 15*g + 9*g = 0.
-1, 0, 2
Let k(g) be the first derivative of g**5/12 + 5*g**4/12 + 5*g**3/6 + 23*g**2/2 - 16. Let t(n) be the second derivative of k(n). Suppose t(d) = 0. Calculate d.
-1
Let u(o) be the first derivative of -4*o**4 + 76*o**3/3 - 48*o**2 + 36*o - 4. Factor u(b).
-4*(b - 3)*(b - 1)*(4*b - 3)
Let u(v) be the first derivative of -5*v**4/4 - 10*v**3 + 75*v**2/2 - 40*v - 58. Let u(l) = 0. Calculate l.
-8, 1
Let u(g) be the first derivative of g**3/5 - 13*g**2/10 + 14*g/5 + 699. Factor u(r).
(r - 2)*(3*r - 7)/5
Let i(t) = -20*t**3 - 92*t**2 - 60*t - 12. Let q(w) = 24*w + 8*w**3 + 54*w**2 - 17*w**2 + 9 - 2 - 2. Let g(b) = 5*i(b) + 12*q(b). Solve g(z) = 0.
-3, -1, 0
Let m(k) be the third derivative of -k**6/120 - k**5/10 - k**4/2 - 7*k**3/6 + k**2. Let t(p) be the first derivative of m(p). Factor t(q).
-3*(q + 2)**2
Factor 3969/2 + 1/2*z**2 - 63*z.
(z - 63)**2/2
Let z = 11284 - 11281. Let 2*s**2 - z*s**4 + 9/2*s**3 - 6*s + 0 + 1/2*s**5 = 0. What is s?
-1, 0, 2, 3
Let z(n) = 2*n**2 + 18*n. Let s(b) = -6*b**2 - 54*b. Let j be 2/(-2) + 13 + 5. Let t(w) = j*z(w) + 6*s(w). Determine x so that t(x) = 0.
-9, 0
Let z(k) be the first derivative of -4/9*k**2 + 11/18*k**4 + 8/9*k**3 - 7/27*k**6 + 21 + 0*k - 8/15*k**5. Suppose z(s) = 0. Calculate s.
-2, -1, 0, 2/7, 1
Let h(w) be the second derivative of w**5/26 + w**4/39 - 8*w + 1. Solve h(p) = 0.
-2/5, 0
Let u(q) be the second derivative of q**4/36 + 5*q**3/9 + 3*q**2/2 + 33*q + 2. Determine v, given that u(v) = 0.
-9, -1
Let l = 38 + -14. Factor l*c**2 - 127*c**4 + c**4 + 735*c**5 + 10*c**3 - 2*c**3 - 116*c**3.
3*c**2*(5*c + 2)*(7*c - 2)**2
Let r(m) = m**2 + 5*m - 3. Let b be 4/((-12)/72 - 2/4). Let v be r(b). Suppose -5*f**2 - 5*f**v - 1/2 - 5/2*f**4 - 1/2*f**5 - 5/2*f = 0. What is f?
-1
Let l(s) be the first derivative of -6/11*s**2 - 2/11*s + 3 - 6/11*s**3. Let l(x) = 0. What is x?
-1/3
Let -170/9*r**2 - 20 + 106/3*r + 34/9*r**3 - 2/9*r**4 = 0. What is r?
1, 3, 10
Let p(a) be the second derivative of a**4/114 + a**3/19 - 7*a - 2. Suppose p(d) = 0. What is d?
-3, 0
Let j(x) be the first derivative of x**6/1620 - x**5/90 + 5*x**4/108 + 11*x**3/3 - 16. Let l(w) be the third derivative of j(w). Find h, given that l(h) = 0.
1, 5
Let j(i) = 2*i**4 + 20*i**3 - 30*i**2 - 45*i + 43. Let s(m) = 2*m**4 + 18*m**3 - 28*m**2 - 44*m + 44. Let y(o) = -4*j(o) + 5*s(o). What is n in y(n) = 0?
-6, -2, 1, 2
Let g = 3 - -11. Let w(q) = -q**2 + 14*q + 5. Let s be w(g). Factor 2*h**5 + 2*h**3 + 12*h**3 - 16*h**4 + 0*h**3 + 4*h**s - 4*h**2.
2*h**2*(h - 1)**2*(3*h - 2)
Let n(k) = 2 + 3*k**3 - 2*k**3 - 47*k + 48*k - 2*k**2. Let z be n(2). Let 3*j**5 - 2*j**4 - 4*j**5 - 5*j**2 + 4*j**2 - j**z - 3*j**3 = 0. Calculate j.
-1, 0
Let v be (6/(-36))/((-34)/51). Let m(y) be the second derivative of 1/24*y**4 + 0 + v*y**3 + 0*y**2 + 13*y. Let m(z) = 0. Calculate z.
-3, 0
Factor -3/5*v**2 - 3/5*v - 1/5 - 1/5*v**3.
-(v + 1)**3/5
Suppose 0 = -3*a + x - 2*x + 61, -2*a = 4*x - 24. Let 10*r**2 - 1 - 14 - 3*r - a*r = 0. What is r?
-1/2, 3
Suppose -4*l + 2*r + 2 = -0, 3*r = -2*l + 21. Determine v so that 14 - l + 132*v**2 - 160*v - 40*v**3 + 0*v + 53 + 4*v**4 = 0.
1, 4
Let t be -3 - (-240)/168*(-14)/(-2) - 5. Let r = 11/24 + -1/8. Factor 4/3 - 4/3*d + r*d**t.
(d - 2)**2/3
Factor -q**2 + 6*q + 0 - 4/3*q**3 + 1/3*q**4.
q*(q - 3)**2*(q + 2)/3
Let f(t) be the third derivative of -40*t**2 - 1/110*t**5 + 0*t + 0*t**3 + 0 - 1/1155*t**7 + 1/132*t**4 + 1/220*t**6. Factor f(q).
-2*q*(q - 1)**3/11
Suppose 4*y - 109 - 3 = 0. Let f(d) = -5*d + 6*d**2 - y*d**2 + 20*d + 6*d**2 + 1. Let l(m) = 3*m**2 - 3*m. Let j(a) = 6*f(a) + 33*l(a). Factor j(i).
3*(i - 2)*(i - 1)
Factor 5*s**2 + 15/2*s**3 + 0 + 0*s + 5/2*s**4.
5*s**2*(s + 1)*(s + 2)/2
Let w = -145087/5 + 29018. Determine h, given that w*h**2 + 0*h - 3/5 = 0.
-1, 1
Determine l, given that -8/5*l**2 - l**3 + l + 8/5 = 0.
-8/5, -1, 1
Let x(g) be the third derivative of -g**7/210 - g**6/15 + 19*g**5/60 - 5*g**4/12 + 175*g**2. Let x(n) = 0. Calculate n.
-10, 0, 1
Let q(x) = x - 2. Let o be q(9). Let y = -2 + o. Find n such that 4*n**2 + 4*n**2 - 9 - y*n**2 + 6*n = 0.
-3, 1
Let o(z) be the first derivative of -z**6/12 + 3*z**5/5 - 11*z**4/8 + z**3/3 + 3*z**2 - 4*z - 80. Factor o(t).
-(t - 2)**3*(t - 1)*(t + 1)/2
Suppose 3*m**5 + 243*m - 60*m**4 - 397*m**2 - 266*m**2 + 123*m**2 + 354*m**3 = 0. What is m?
0, 1, 9
Let o(y) be the second derivative of 11*y + 0 + 1/6*y**3 - 5/4*y**2 - 1/120*y**4. Suppose o(u) = 0. What is u?
5
Let k(s) be the third derivative of -s**8/1008 + s**7/630 - 28*s**2 + 3. Let k(v) = 0. What is v?
0, 1
Let c(z) be the second derivative of z**4/54 - 10*z**3/27 + 16*z**2/9 + 35*z + 3. Let c(b) = 0. Calculate b.
2, 8
Let n = -37 + 62. Suppose -9*d = -2 - n. Factor -6/7*h - 2/7*h**d + 6/7*h**2 + 2/7.
-2*(h - 1)**3/7
Let -11/2 - 1/2*b**3 + 1/2*b + 11/2*b**2 = 0. What is b?
-1, 1, 11
Let m(p) = -7*p - 11. Let i be m(-3). Suppose 0 = -4*f - 2*w + 4, 5*f + 5*w = w + 5. Suppose 14*g**2 + 14*g - f - i*g + 1 = 0. What is g?
-2/7, 0
Let q(o) = -o**3 + 9*o**2 - 20*o + 9. Let m be q(9). Let h = m - -856/5. Factor 1/5*c - h*c**2 + 0.
-c*(c - 1)/5
Suppose -2/3*w**2 + 0*w + 0 = 0. Calculate w.
0
Let q(o) be the second derivative of -4/3*o**3 + 1/3*o**4 - 18*o + 0 + 2*o**2. Factor q(a).
4*(a - 1)**2
Factor -20 - 5*l**3 + l**3 + 4*l + 23 + l**3 - 7 + 5*l**2.
-(l - 2)*(l + 1)*(3*l - 2)
Suppose -34*j - 48 - 46 = -94. Solve