 2*y - 2*f. Let h(z) = 2*z**2 + 12*z - 2. Let n(c) = c**2 + c + 1. Let j(m) = y*n(m) - h(m). Find g such that j(g) = 0.
1, 3
Suppose 3*o - 3 = 0, 4*u - 2*o + 6 = 6*u. Let d(p) be the second derivative of -2/3*p**3 + p + 0 - 3/10*p**5 - 7/6*p**4 + 0*p**u. Factor d(s).
-2*s*(s + 2)*(3*s + 1)
Let a(n) be the third derivative of 0*n + 1/1344*n**8 + 0*n**3 + 0*n**5 + 0*n**7 + 0*n**4 - 1/480*n**6 - 4*n**2 + 0. Factor a(j).
j**3*(j - 1)*(j + 1)/4
Let k be ((-20)/(-15))/(5/12). Let q = -3 + k. Factor q*v + 0 + 1/5*v**2.
v*(v + 1)/5
Suppose 15*a + 8*a**3 + 17*a**3 - 70*a**2 + 20*a**4 + 10*a**3 = 0. Calculate a.
-3, 0, 1/4, 1
Find m, given that -4/3 - 6*m**3 + 20/3*m**4 + 6*m - 16/3*m**2 = 0.
-1, 2/5, 1/2, 1
Let n(x) be the third derivative of x**5/60 + 6*x**2. Let d(a) = 6*a**2. Suppose -2*v + 4*v - 20 = 0. Let m(z) = v*n(z) - 2*d(z). Factor m(j).
-2*j**2
Factor 2*s**2 - 1/2*s**3 - 5/2*s + 1.
-(s - 2)*(s - 1)**2/2
Let r(d) be the third derivative of -d**5/150 - d**4/30 - d**3/15 + 3*d**2. Factor r(c).
-2*(c + 1)**2/5
Let 5/2*m**2 + 8 - 11*m + 1/2*m**3 = 0. Calculate m.
-8, 1, 2
Factor 1/4*v**2 + 1/2*v**3 - 1/4*v**4 - 1/2*v + 0.
-v*(v - 2)*(v - 1)*(v + 1)/4
Let f be (1 - 2)/((-6)/(-18)). Let v = 5 + f. Factor -3/4*n**v + 0 + 1/4*n**3 - 1/4*n + 3/4*n**4.
n*(n - 1)*(n + 1)*(3*n + 1)/4
Let q be 20/20*(-1)/(-3). Factor q*v**2 + 1/3*v - 2/3.
(v - 1)*(v + 2)/3
Let l(y) be the second derivative of -1/9*y**3 - 1/6*y**2 + 0 - 2*y - 1/36*y**4. Factor l(z).
-(z + 1)**2/3
Suppose f - 8 = 4*u - 2*f, f = 0. Let r(z) = -z + 2. Let b be r(u). Factor 3*p - b*p**2 - 2 + 2*p**2 + p.
-2*(p - 1)**2
Find g such that 0*g + 0 + 3/5*g**2 = 0.
0
Suppose s - 2*w + 0 = -4, 3*s + 4*w - 18 = 0. Find r, given that 4/9 + 2/3*r - 2/3*r**3 - 4/9*r**s = 0.
-1, -2/3, 1
Find s, given that -4/7 + 2/7*s - 18/7*s**3 + 36/7*s**2 = 0.
-1/3, 1/3, 2
Let a(u) = 3*u - 8. Let b be a(4). Let c(q) be the third derivative of 0 - 1/6*q**3 + 2*q**2 - 1/60*q**5 + 0*q - 1/12*q**b. Factor c(j).
-(j + 1)**2
Factor 28*j + 3*j**3 - 14*j**3 + 24 + 7*j**3.
-4*(j - 3)*(j + 1)*(j + 2)
Let r(v) = -v**2 - v + 159. Let j be r(12). Let -6 - 15/4*l**3 + j*l + 9/2*l**2 + 3/4*l**4 = 0. What is l?
-1, 2
Let m(d) be the first derivative of -d - 2/3*d**2 + 4/9*d**4 + 3 + 1/6*d**5 + 1/9*d**3. Let b(a) be the first derivative of m(a). Solve b(c) = 0.
-1, 2/5
Let k be 2*(3/(-6) - 0). Let s(r) = 4*r**5 + r**3 - 5*r. Let h(p) = p**5 - p. Let n(q) = k*s(q) + 5*h(q). Factor n(o).
o**3*(o - 1)*(o + 1)
Let t(x) = 2*x**2 + x. Let h(f) = f**2 + f. Let v be (-6)/10 + 8/5. Let m(g) = v*t(g) - 3*h(g). Solve m(w) = 0 for w.
-2, 0
Let g(r) be the third derivative of -r**6/360 + r**5/180 + r**4/72 - r**3/18 - 9*r**2. Factor g(w).
-(w - 1)**2*(w + 1)/3
Let c(p) be the first derivative of p**5/10 + 2*p**4/3 + 4*p**3/3 - p - 3. Let x(m) be the first derivative of c(m). Let x(y) = 0. Calculate y.
-2, 0
Let c be 9/72 + (-46)/432. Let i(m) be the third derivative of -3*m**2 + 1/270*m**5 - c*m**4 + 1/27*m**3 + 0*m + 0. Solve i(v) = 0.
1
Let k(b) be the second derivative of -2*b**2 - 2*b**3 - 1/5*b**5 + 0 - b**4 + 8*b. Solve k(i) = 0 for i.
-1
Determine x so that -12*x**3 + 0*x - 8*x**2 - 2*x**5 - 8*x**4 - 2*x + 0*x**2 = 0.
-1, 0
Suppose -5*r + 3 + 2 = 0. Let s(l) = -l**2 - 1. Let g(z) = 2*z**3 - 11*z**2 + 4*z - 5. Let h(u) = r*g(u) - 5*s(u). Solve h(j) = 0.
0, 1, 2
Let x be -2 + 95/(-50) + 4. Let u(w) be the third derivative of 0 + w**2 + x*w**5 + 0*w**3 - 1/20*w**6 + 1/105*w**7 + 0*w - 1/12*w**4. Factor u(n).
2*n*(n - 1)**3
Let g(l) be the third derivative of l**8/672 + l**7/126 + l**6/240 - 5*l**2. Factor g(j).
j**3*(j + 3)*(3*j + 1)/6
Factor 11*f**3 + 1 - f**4 - 69*f + 71*f - 13*f**3.
-(f - 1)*(f + 1)**3
Let h(x) = x**2 - 16*x + 66. Let u be h(8). Find z such that -4/5*z**u + 0*z + 8/5*z**4 + 0 - 2*z**3 + 6/5*z**5 = 0.
-2, -1/3, 0, 1
Let o(w) be the first derivative of -w**3 - 3*w**2/2 + 6*w + 14. Solve o(x) = 0.
-2, 1
Factor -a - 17 - 5*a + 13 + 8*a**2 - 10*a**2.
-2*(a + 1)*(a + 2)
Let u(i) be the first derivative of -1/360*i**6 + 0*i + 1/2*i**2 + 1/180*i**5 + 0*i**3 + 0*i**4 - 1. Let v(d) be the second derivative of u(d). Factor v(z).
-z**2*(z - 1)/3
Let k = -100 + 301/3. Solve 1/3*q + 2/3 - q**2 + 1/3*q**4 - k*q**3 = 0.
-1, 1, 2
Determine y so that 18*y**4 - 12 + 0*y**2 + 39*y**3 - y**2 + 10*y**2 - 6*y**4 - 48*y = 0.
-2, -1/4, 1
Let l be (5/3)/(5/6). Let d(c) be the third derivative of -1/80*c**6 + 0*c**4 + 3*c**l + 0*c**5 + 1/70*c**7 + 0*c + 0 + 0*c**3. Factor d(z).
3*z**3*(2*z - 1)/2
Let q(o) = 3*o - 1. Let t be q(1). Let z(w) be the second derivative of 0 + 1/24*w**4 + 0*w**3 + 2*w - 1/4*w**t. Factor z(f).
(f - 1)*(f + 1)/2
Let h(i) = -i**2 + 2*i - 4. Let l be h(3). Let k = -5 - l. Factor v**k - v**2 + 1 - v**2.
-(v - 1)*(v + 1)
Find w such that -12/7*w + 2/7*w**2 + 18/7 = 0.
3
Factor 3*v**4 - v**3 + 8*v**5 - 7*v**2 + 0 - 7*v**5 + 4.
(v - 1)**2*(v + 1)*(v + 2)**2
Suppose 13*s - 5*s = 16. Solve 1/2*h + 1/4 + 1/4*h**s = 0 for h.
-1
Solve 20/3*v**3 - 4/3*v**2 + 0 - 25/3*v**4 + 0*v = 0.
0, 2/5
Let t(m) = m**2 - 27*m + 76. Let s be t(24). Let d(i) be the first derivative of 1/4*i**s + 3*i**3 + 27/2*i**2 + 27*i - 2. Let d(w) = 0. What is w?
-3
Let a(q) be the first derivative of -q**8/168 + q**6/30 - q**4/12 + q**2 - 2. Let w(j) be the second derivative of a(j). Let w(b) = 0. Calculate b.
-1, 0, 1
Let x(g) be the second derivative of -g**4/15 + 8*g**2/5 - 7*g. Determine u, given that x(u) = 0.
-2, 2
Factor 13/4*v**3 - 1/4*v + 9/4*v**2 - 1/2 + 5/4*v**4.
(v + 1)**3*(5*v - 2)/4
Let k(j) be the second derivative of 5*j**4/3 + 8*j**3/3 - 2*j**2 + 47*j. Find f such that k(f) = 0.
-1, 1/5
Let k(m) = m + 5. Let g be k(7). Let b be 6/3 - g/10. Factor 2/5*a**5 - b*a**3 + 0*a**4 + 0 + 2/5*a + 0*a**2.
2*a*(a - 1)**2*(a + 1)**2/5
Let c = 741/4 + -185. Determine n, given that c*n**4 - 3*n + 13/4*n**2 + 1 - 3/2*n**3 = 0.
1, 2
Let r(i) be the first derivative of -2*i**6/27 - 8*i**5/45 - i**4/9 - 32. Determine l, given that r(l) = 0.
-1, 0
Let u = -572/3 + 34321/180. Let w(h) be the third derivative of u*h**5 + 0 + 1/360*h**6 - 1/72*h**4 + 0*h - h**2 + 0*h**3 - 1/630*h**7. Factor w(z).
-z*(z - 1)**2*(z + 1)/3
Let r(t) be the first derivative of t**4 - 2*t**2 + 5. Find u such that r(u) = 0.
-1, 0, 1
Let k(d) be the third derivative of -1/72*d**4 - 1/9*d**3 + 2*d**2 + 0 + 0*d + 1/36*d**6 + 11/180*d**5. Find p such that k(p) = 0.
-1, -1/2, 2/5
Let 6*o**2 - 7*o**2 - 3*o + 5*o = 0. What is o?
0, 2
Let k(s) be the second derivative of -2*s - 1/10*s**2 - 1/20*s**4 + 0 - 2/15*s**3. Suppose k(g) = 0. Calculate g.
-1, -1/3
Let y(c) = c**2 + 9*c - 2. Let k be y(-9). Let l be 6/(-27) + k/(-9). Factor -a**3 + 3/2*a**2 + l - 3/2*a**4 + a.
-a*(a - 1)*(a + 1)*(3*a + 2)/2
Suppose 6*i = 3*i + 15. Let n(p) be the first derivative of -1/4*p**2 + 0*p + 0*p**3 + 1/4*p**4 - 1/12*p**6 + 0*p**i + 3. Factor n(w).
-w*(w - 1)**2*(w + 1)**2/2
Find d, given that -24/13*d**2 + 0 + 16/13*d - 4/13*d**3 + 6/13*d**4 = 0.
-2, 0, 2/3, 2
Let h(d) be the third derivative of 7*d**5/270 + 5*d**4/108 - 2*d**3/27 - 16*d**2. Factor h(j).
2*(j + 1)*(7*j - 2)/9
Let m(f) be the third derivative of -1/525*f**7 + 0 - 1/150*f**6 + 0*f**4 + 3*f**2 + 0*f - 1/150*f**5 + 0*f**3. Determine c so that m(c) = 0.
-1, 0
Let b be (-12)/36*(-12)/14. Factor 2/7 + 12/7*u**2 - 8/7*u + b*u**4 - 8/7*u**3.
2*(u - 1)**4/7
Let a(y) be the first derivative of y**6/1620 + y**5/270 + y**4/108 + y**3/3 + 2. Let i(m) be the third derivative of a(m). Factor i(z).
2*(z + 1)**2/9
Let s(d) be the second derivative of d**8/168 - d**6/30 + d**4/12 - 3*d**2/2 - d. Let o(k) be the first derivative of s(k). Factor o(a).
2*a*(a - 1)**2*(a + 1)**2
Let u(w) be the third derivative of w**6/660 - 2*w**5/165 + 5*w**4/132 - 2*w**3/33 - 18*w**2. Find x such that u(x) = 0.
1, 2
Let a(b) be the third derivative of 2*b**2 - 1/90*b**6 + 0*b**3 + 0*b + 0*b**4 - 2/315*b**7 + 0*b**5 + 0. Suppose a(h) = 0. Calculate h.
-1, 0
Let u(s) be the second derivative of s**7/14 + s**6/15 - 9*s**5/20 + 2*s**3/3 - 8*s. Factor u(a).
a*(a - 1)**2*(a + 2)*(3*a + 2)
Suppose -3*r + 3 = -9. Factor 1/2*x - 1/2*x**r + 3/2*x**3 - 3/2*x**2 + 0.
-x*(x - 1)**3/2
Let a = 18 - 15. Suppose -s - 3*t + 3 = a*s, -2*t = 4*s - 6. Solve -s + 6*h + 3/4*h**3 - 15/4*h**2 = 0.
1, 2
Suppose