ve of f**8/336 - f**6/40 + f**5/30 - 6*f**2. Factor w(l).
l**2*(l - 1)**2*(l + 2)
Let h be (-2)/(-4) - (-3)/6. Suppose -3*w + 4 + h = -r, -w + 19 = 4*r. Factor 3*v - 2*v**2 + 2*v**w + 6*v**2 - v.
2*v*(v + 1)**2
Solve 11*t + 44*t**2 - 19*t**2 + 4 + 9*t = 0.
-2/5
Let c = -979/9 + 109. Let o(b) be the first derivative of 0*b**2 - 2 + c*b**3 + 0*b. Factor o(r).
2*r**2/3
Suppose 10/11*k**2 + 0 + 2/11*k**3 + 8/11*k = 0. What is k?
-4, -1, 0
Let a(p) be the second derivative of -2*p**6/135 + p**5/45 + 5*p**4/27 + 2*p**3/9 - 57*p. Find h such that a(h) = 0.
-1, 0, 3
Factor 10/13*b**2 + 2/13*b**3 + 6/13 + 14/13*b.
2*(b + 1)**2*(b + 3)/13
Let -18*x**4 - 76*x**2 - 16 + 50*x**3 + 56*x + 2*x**4 + 14*x**5 - 12*x**5 = 0. What is x?
1, 2
Let u(q) be the second derivative of 5*q**4/12 - 5*q**3/6 + 3*q. Factor u(i).
5*i*(i - 1)
Let i(s) = 30*s**4 + 110*s**3 + 64*s**2 - 56*s + 8. Let g(r) = -59*r**4 - 219*r**3 - 127*r**2 + 112*r - 16. Let k(o) = 2*g(o) + 5*i(o). Factor k(l).
2*(l + 2)**2*(4*l - 1)**2
Factor 30*n**3 + 7*n**2 - 4*n**2 - 9*n**3 + 6*n + 24*n**2.
3*n*(n + 1)*(7*n + 2)
Let b(n) = n**3 - 8*n**2 - n + 8. Let z be b(8). Suppose 2*w - 4*w = z. Factor 1/3*r**2 + 0*r**3 + w*r - 1/3*r**4 + 0.
-r**2*(r - 1)*(r + 1)/3
Let p = 115/24 - 19/4. Let i(a) be the second derivative of p*a**4 - 1/2*a**2 + 1/12*a**3 + 0 - a. Suppose i(n) = 0. What is n?
-2, 1
Let z = 39/5 - 263/35. Let d = -1 + 1. Find o, given that 2/7*o**3 - z*o + d + 0*o**2 = 0.
-1, 0, 1
Let n(s) = -s**2 - s. Let z(b) = -5*b**2 + 6. Let p(w) = -30*w**2 + 35. Let k(h) = 6*p(h) - 35*z(h). Let r(f) = -k(f) + n(f). Solve r(v) = 0.
0, 1/4
Let w(r) = -3*r - 1. Let p be w(1). Let s be (p/6)/((-8)/36). Factor -7*b**3 - s*b**2 - 10*b**4 - 5*b**3 - 8*b**4 + b**2.
-2*b**2*(3*b + 1)**2
Let q(f) be the third derivative of 1/90*f**4 + 0 + 0*f**3 + 0*f + 1/450*f**5 - 2*f**2. Factor q(b).
2*b*(b + 2)/15
Determine a, given that 0 + 2/11*a + 2/11*a**2 = 0.
-1, 0
Factor 0 - 2/3*s**4 + 4/3*s**3 - 2/3*s**2 + 0*s.
-2*s**2*(s - 1)**2/3
Let f(i) be the first derivative of -i**5/20 - i**4/16 + i**3/4 + i**2/8 - i/2 + 13. Determine d, given that f(d) = 0.
-2, -1, 1
Let s(z) be the first derivative of 8 - 8*z + 0*z**2 - 1/2*z**4 + 2*z**3. Factor s(j).
-2*(j - 2)**2*(j + 1)
Let z(p) be the second derivative of p**5/30 + p**4/12 - p**2/2 - 2*p. Let j(i) be the first derivative of z(i). Find d, given that j(d) = 0.
-1, 0
Let s be 3 + 10/(-3) - (-170)/105. Find u, given that 0 + 3/7*u**2 - s*u = 0.
0, 3
Suppose -2*t + 4*v + 9 = -t, 0 = 5*t + v - 3. Suppose -t = -3*x + 5. Determine n so that 0 + 2/11*n + 0*n**3 - 4/11*n**x - 2/11*n**5 + 4/11*n**4 = 0.
-1, 0, 1
Let i(q) = -7*q**3 - 6*q**2 + q - 5. Suppose -j + 2*j + 4 = 0. Let d(y) = -3*y**3 - 3*y**2 - 2. Let k(r) = j*i(r) + 10*d(r). Let k(a) = 0. Calculate a.
-2, -1, 0
Let g(u) = 3*u**2 + 3*u - 11. Let v(n) = 4*n**2 + 5*n - 16. Let t(l) = 7*g(l) - 5*v(l). Factor t(w).
(w - 3)*(w - 1)
Let s(p) be the second derivative of -13*p**5/10 - 14*p**4/3 - 17*p**3/3 - 2*p**2 + 30*p. Determine f so that s(f) = 0.
-1, -2/13
Let s(t) be the second derivative of -7/10*t**5 + 2*t + 7/6*t**3 + 1/6*t**7 + 0 - t**2 - 1/15*t**6 + 1/3*t**4. Let s(v) = 0. What is v?
-1, 2/7, 1
Let r(b) be the second derivative of -b**6/10 + b**5/5 + b**4/12 - b**3/3 - 6*b. Determine s, given that r(s) = 0.
-2/3, 0, 1
Suppose -6*a + a + 2*a + 3*a**2 = 0. Calculate a.
0, 1
Let i(n) = n**2 - 3*n - 2. Let h be i(4). Suppose -l**2 + 2*l**5 - l**2 + 0*l**h - 6*l**4 + 6*l**3 = 0. Calculate l.
0, 1
Let v(j) be the first derivative of 2/3*j**3 + 0*j**2 + 0*j + 1/2*j**4 + 3. Factor v(u).
2*u**2*(u + 1)
Solve -6*y**4 + y**3 + 2*y**2 + 3*y**3 - 4*y - 4*y**4 + 8*y**4 = 0.
-1, 0, 1, 2
Suppose -k - 5*r = 4*k - 30, 0 = 3*r - 6. Let p(m) be the first derivative of 1/6*m**2 + 0*m + 1/12*m**k + 3 - 2/9*m**3. Factor p(a).
a*(a - 1)**2/3
Factor 2*j + 1 + j + 12*j**2 - 11*j**2 - 5*j.
(j - 1)**2
Let x(n) be the third derivative of 2*n**7/105 - n**5/15 - 4*n**2. Determine s, given that x(s) = 0.
-1, 0, 1
Let v(o) be the second derivative of -o**8/6720 - o**7/1008 - o**6/360 - o**5/240 + o**4/12 - o. Let x(q) be the third derivative of v(q). Factor x(i).
-(i + 1)**2*(2*i + 1)/2
Let z(f) be the third derivative of 2*f**2 - 1/315*f**7 - 1/30*f**5 + 0 + 1/36*f**4 + 0*f + 1/60*f**6 + 0*f**3. What is q in z(q) = 0?
0, 1
Let 1001 - 4*w**3 + 96*w**2 + 185*w + 1047 - 953*w = 0. Calculate w.
8
Factor 4/11*i**2 - 7/11*i - 10/11 + 1/11*i**3.
(i - 2)*(i + 1)*(i + 5)/11
Let g be 4/7*315/30. Let h(z) be the first derivative of 1 + 1/9*z**2 + 8/27*z**3 + 1/3*z**4 + 8/45*z**5 + 0*z + 1/27*z**g. Factor h(s).
2*s*(s + 1)**4/9
Let n = 149 + -347. Let y be 4/(-18) + (-143)/n. Factor -y*u - 3/2*u**2 + 0 - 3/2*u**3 - 1/2*u**4.
-u*(u + 1)**3/2
Suppose -2 = 2*o - 3*o. Factor -3*j**o + 3*j + 4*j - j.
-3*j*(j - 2)
Let k(j) be the second derivative of j**5/10 - j**4/2 - j**3/3 + 3*j**2 - 5*j. Find o, given that k(o) = 0.
-1, 1, 3
Let a(z) be the second derivative of -z**4/42 + 2*z**3/21 + 3*z**2/7 - 23*z. Suppose a(p) = 0. Calculate p.
-1, 3
Let g(w) be the first derivative of 0*w**5 + 0*w**3 - 2 + 1/8*w**4 - 1/12*w**6 + 0*w**2 + 0*w. Suppose g(k) = 0. Calculate k.
-1, 0, 1
Let f be (4/5)/(4/(-20)). Let l be 3 - -6*2/f. Solve 0*c + l + 2/3*c**3 - 4/3*c**2 = 0 for c.
0, 2
Let j be (18/27)/(5/(-3)). Let g = j - -13/20. Factor -o + g*o**2 + 1.
(o - 2)**2/4
Let f(t) be the first derivative of t**5/240 - t**4/48 + t**3/24 - 2*t**2 - 2. Let x(r) be the second derivative of f(r). Find m, given that x(m) = 0.
1
Suppose 5*s = 12 - 2. Factor 0*c**4 + 3*c**3 + c**4 - s*c**3 + 3*c**2 - 4*c**2 - c.
c*(c - 1)*(c + 1)**2
Let p(t) be the third derivative of 1/210*t**5 + 0*t + 0 - 1/140*t**6 - 2/21*t**3 + 1/28*t**4 + 1/735*t**7 - t**2. Let p(o) = 0. Calculate o.
-1, 1, 2
Let m(v) = -6*v**3 - 3*v**2 - 5*v + 4. Let c = 1 - 3. Let u = 0 - c. Let l(q) = -q**3 - q. Let d(b) = u*m(b) - 10*l(b). Factor d(k).
-2*(k - 1)*(k + 2)**2
Let c(j) be the second derivative of 1/360*j**6 - 1/120*j**5 - 3*j + 0 - 1/12*j**4 + 0*j**2 + 1/6*j**3. Let s(l) be the second derivative of c(l). Factor s(w).
(w - 2)*(w + 1)
Let v(o) be the second derivative of o**5/190 - o**4/57 + o**3/57 - 10*o. Factor v(q).
2*q*(q - 1)**2/19
Suppose 60 = 2*x + 2*x. Let y be 10/x + 8/(-30). What is r in y*r + 4/5*r**2 + 0 = 0?
-1/2, 0
Let j = -288/85 + 78/17. Suppose -24/5*c + 3/5*c**4 + j*c**3 - 9/5*c**2 - 12/5 = 0. What is c?
-2, -1, 2
Suppose 4*k + 14 + 10 = 0. Let t be (-3)/((-9)/k + -3). Factor z - 6 + 3*z**2 + t*z + 0*z**2.
3*(z - 1)*(z + 2)
Factor 0 - 4/5*d**2 - 1/5*d**3 + 1/5*d + 4/5*d**4.
d*(d - 1)*(d + 1)*(4*d - 1)/5
Let d = -454 - -5453/12. Let x(z) be the first derivative of -d*z**2 + 2/9*z**3 + 2 - 1/24*z**4 + 1/3*z. Factor x(m).
-(m - 2)*(m - 1)**2/6
Let o be (0 - 1) + 54/15. Solve 1/5*k**4 + 6/5*k**3 + 12/5*k + o*k**2 + 4/5 = 0 for k.
-2, -1
Factor 2/5*h + 2/5*h**2 + 0.
2*h*(h + 1)/5
Suppose 4*j = 8*b - 7*b + 4, 3*j = 3. Let g be 2/3*12/3. Let b + 8/3*f**2 + g*f + 2/3*f**3 = 0. What is f?
-2, 0
Let c = 0 + 3. Let -4 + z**c - 2*z + 0*z + 10*z - 5*z**2 = 0. Calculate z.
1, 2
Let a(b) = 5*b**3 + b. Let h(p) = 4*p**3. Let q(c) = -2*a(c) + 3*h(c). Suppose q(d) = 0. Calculate d.
-1, 0, 1
Let p(q) be the third derivative of q**8/10080 - q**7/1890 + q**6/1080 - q**4/4 - q**2. Let n(o) be the second derivative of p(o). Find u, given that n(u) = 0.
0, 1
Let d(l) be the second derivative of l**6/6 + 25*l**5/4 + 90*l**4 + 1760*l**3/3 + 1280*l**2 - 47*l. Determine y so that d(y) = 0.
-8, -1
Let m(k) be the second derivative of -k**6/40 + k**5/60 - k**2/2 - 3*k. Let w(b) be the first derivative of m(b). Find u such that w(u) = 0.
0, 1/3
Let z be (6 - 7)*3/(-1). Factor 0*x + 1/5*x**5 + 3/5*x**z - 3/5*x**4 - 1/5*x**2 + 0.
x**2*(x - 1)**3/5
Let q(a) be the second derivative of 1/4*a**5 + 1/12*a**6 + 1/4*a**2 + 5/12*a**4 + 0 - 3*a + 1/84*a**7 + 5/12*a**3. Determine i so that q(i) = 0.
-1
Let o(x) be the first derivative of 4*x**3/3 + 10*x**2 + 16*x - 10. Find z such that o(z) = 0.
-4, -1
Let y(d) be the first derivative of 2/15*d**3 + 0*d + 1/10*d**2 - 3/20*d**4 + 3. Factor y(c).
-c*(c - 1)*(3*c + 1)/5
Let u(o) be the third derivative of o**8/10080 - o**7/2520 - o**6/180 + o**5/30 - 2*o**2. Let i(m) be the third derivative of u(m