7*s**3 + 2/7.
(s - 2)*(s + 1)*(4*s - 1)/7
Let y = 2/101 + 91/505. Let k(t) be the first derivative of -1/10*t**4 - 4/15*t**3 - 5 - y*t**2 + 0*t. Find l, given that k(l) = 0.
-1, 0
Let i be 3/21*14/4. Let m(a) be the first derivative of 1/3*a**3 - 2*a - 1 + i*a**2. Let m(w) = 0. What is w?
-2, 1
Let j(s) = 8*s - 10. Let i be j(3). Determine h so that 7*h**4 - 12*h**3 + 8 + 12*h**2 - 5*h**4 + 0*h**4 + i*h**2 - 24*h = 0.
1, 2
Let q(n) = -2*n**2 - 39*n - 17. Let l be q(-19). Factor 3/4*j**3 + 3/2*j**l + 0 + 3/4*j.
3*j*(j + 1)**2/4
Let c = 21/2 + -10. Factor -1/2*h**2 - c*h + 1.
-(h - 1)*(h + 2)/2
What is f in -2*f - 14*f**5 + 23*f**5 + 4*f - 3*f**4 + 3*f**2 - 11*f**3 = 0?
-1, -1/3, 0, 2/3, 1
Let r(d) be the first derivative of 3*d**5/20 + d**4 + 2*d**3 - 2*d - 5. Let f(a) be the first derivative of r(a). What is o in f(o) = 0?
-2, 0
Let x(z) be the third derivative of 0*z**5 + 5/1008*z**8 + 0*z**6 + 3*z**2 + 0*z**4 + 0 + 1/315*z**7 + 0*z**3 + 0*z. Suppose x(t) = 0. What is t?
-2/5, 0
Let z = -28/17 + 337/153. Let c = 20/9 - z. Find x such that -10/3*x**2 + 8/3*x**4 - 1/3*x - 4/3*x**3 + 2/3 + c*x**5 = 0.
-1, 2/5, 1
Let v(p) be the first derivative of -27/5*p**2 + 6 - 54/5*p - 6/5*p**3 - 1/10*p**4. Factor v(i).
-2*(i + 3)**3/5
Suppose -2*m = 6, 2*n = 4*m + 5 + 7. Suppose n = 7*t - 4*t. Let 1/4*x**4 + 1/4*x**5 + t - 1/4*x**3 - 1/4*x**2 + 0*x = 0. What is x?
-1, 0, 1
Let c(t) be the first derivative of -2/9*t**3 + 1/2*t**4 - 3 + 0*t**2 + 0*t. Solve c(y) = 0 for y.
0, 1/3
Let c(x) be the second derivative of 9*x**4/2 + 13*x**3/2 + 3*x**2 - 7*x. Factor c(i).
3*(2*i + 1)*(9*i + 2)
Let f(a) be the second derivative of -a**7/280 + a**6/120 - a**3 - 2*a. Let m(h) be the second derivative of f(h). Find l such that m(l) = 0.
0, 1
Factor -358 + 176*z - 117 - 370 - 5*z**2 - 46*z.
-5*(z - 13)**2
Let t(u) be the second derivative of u**5/40 + u**4/12 + u**3/12 - 7*u. Factor t(m).
m*(m + 1)**2/2
Factor 5*y + 6*y**2 - 3*y**3 - 4*y - 7*y + 3*y**2.
-3*y*(y - 2)*(y - 1)
Let d be 40/(-288)*(-2)/10. Let v(q) be the second derivative of -2/3*q**2 - d*q**4 + 2/9*q**3 - 2*q + 0. What is n in v(n) = 0?
2
Let h(l) be the third derivative of 0*l + 2*l**2 + 0*l**3 + 0 - 1/270*l**5 + 0*l**4 - 1/180*l**6. Solve h(c) = 0 for c.
-1/3, 0
Let d = -29 - -15. Let v = d + 16. Factor 2/5*t**3 + 0 + 0*t**v + 2/5*t**4 + 0*t.
2*t**3*(t + 1)/5
Suppose -1 + 5 = r. Let h = -8 - -10. Factor 2*f**4 + f**h + 2*f - 2*f**3 + f**2 - r*f**2.
2*f*(f - 1)**2*(f + 1)
Let f(s) = -s - 2. Let h be f(-5). Let l(c) = -c**4 - 8*c**3 + 12*c**2 - 5*c - 1. Let v(q) = q**4 - q + 1. Let z(p) = h*v(p) + l(p). Factor z(a).
2*(a - 1)**4
Let z(k) be the second derivative of k**4/4 + k**3 + 3*k**2/2 - 4*k. Factor z(q).
3*(q + 1)**2
Let q(t) = t**2 - 3*t - 2. Let f be q(4). Let g(l) be the first derivative of 1/2*l**2 - 2/3*l - f - 1/9*l**3. Solve g(w) = 0 for w.
1, 2
Let u(m) be the first derivative of -2*m**5/25 - 2*m**4/5 - 4*m**3/5 - 4*m**2/5 - 2*m/5 - 4. Suppose u(f) = 0. What is f?
-1
Determine f so that -3/7*f**4 + 0 + 15/7*f**3 - 12/7*f**2 + 0*f = 0.
0, 1, 4
Let o = 3 + 2. Let w(h) = -4*h**3 - 3*h**2 + 3. Let x(j) = -7*j**3 - 5*j**2 + 5. Let u(v) = o*w(v) - 3*x(v). Factor u(r).
r**3
Let i(g) = -6*g + 2 + 5*g - 1. Let m be i(1). Factor -4/3*b - 2/3*b**4 + 2/3*b**2 + m + 4/3*b**3.
-2*b*(b - 2)*(b - 1)*(b + 1)/3
Let f(p) be the third derivative of -p**6/300 + p**5/30 - p**4/20 - 3*p**3/5 + 14*p**2. Factor f(b).
-2*(b - 3)**2*(b + 1)/5
Suppose -i**2 - 1/2*i + 1 + 1/2*i**3 = 0. What is i?
-1, 1, 2
Let r(z) be the third derivative of z**8/28 + 8*z**7/105 - z**6/15 - 4*z**5/15 - z**4/6 - 6*z**2. Find j, given that r(j) = 0.
-1, -1/3, 0, 1
Solve 4/7*j**3 - 5/7*j**4 + 2/7*j**5 + 0 - 1/7*j**2 + 0*j = 0.
0, 1/2, 1
Let t be (-22)/(-4) + (-2)/(-4). Let 0*i**2 - 6*i**2 - t*i**2 + 0*i**2 - 4 + 16*i + 16*i**4 - 16*i**3 = 0. Calculate i.
-1, 1/2, 1
Let o(w) be the third derivative of 0 + 0*w**5 + 0*w**3 + 0*w + 1/60*w**6 + 0*w**4 + 1/105*w**7 + w**2. Solve o(g) = 0.
-1, 0
Let f be (-4)/6*24/(-1). Let s = f + -14. Find o such that -1/2*o + 0 + 1/2*o**s = 0.
0, 1
Let c(h) = h**3 + 6*h**2 + 5*h + 2. Let f be c(-5). Let -4*l**3 + 2*l**4 + 4*l - 9*l**2 - 2 + 9*l**f = 0. What is l?
-1, 1
Let m(w) be the second derivative of -w**5/60 + w**4/36 + w**3/18 - w**2/6 + 9*w. Find s, given that m(s) = 0.
-1, 1
Let q(g) = g**2 - g - 1. Let a(o) = 5*o**2 + 3*o - 4. Let y(f) = 3*a(f) - 6*q(f). Factor y(z).
3*(z + 2)*(3*z - 1)
Suppose 14*z - 12 = 10*z. Determine l so that l + l**z - l**5 + l**2 - 2*l**3 + 3*l**4 - 4*l**2 + l = 0.
-1, 0, 1, 2
Let a = -864 + 867. Find g, given that 10/9*g**2 + 0 - 10/9*g**4 + 2/3*g**a - 8/9*g**5 + 2/9*g = 0.
-1, -1/4, 0, 1
Let f(b) be the third derivative of -b**5/210 - b**4/84 + 2*b**3/21 - 21*b**2. Factor f(o).
-2*(o - 1)*(o + 2)/7
Factor 8/5*b**2 + 2/5*b**3 + 0 + 8/5*b.
2*b*(b + 2)**2/5
Let j be ((-13)/(-60))/13*1. Let y(m) be the third derivative of -j*m**5 + 0 + m**2 + 0*m + 0*m**3 + 1/12*m**4. Factor y(n).
-n*(n - 2)
What is w in 4/21*w**5 + 2/21*w**3 + 0 + 0*w**2 + 0*w - 2/7*w**4 = 0?
0, 1/2, 1
Factor -6/17*b**3 - 2/17*b**4 + 0 + 0*b + 0*b**2.
-2*b**3*(b + 3)/17
Let n(w) be the third derivative of -w**7/525 - w**6/75 - w**5/30 - w**4/30 - 16*w**2. What is r in n(r) = 0?
-2, -1, 0
Let p(j) be the third derivative of j**6/180 + 4*j**5/135 + 7*j**4/108 + 2*j**3/27 + 8*j**2. Factor p(u).
2*(u + 1)**2*(3*u + 2)/9
Let l(s) = -11*s**2 + 15*s**4 + 56*s - 19 - 34*s**3 + 37*s**2 - 11. Let p(r) = -3*r**4 + 7*r**3 - 5*r**2 - 11*r + 6. Let q(u) = -2*l(u) - 11*p(u). Factor q(x).
3*(x - 2)*(x - 1)**2*(x + 1)
Suppose -4*w + 13 = 5*z - 13, -18 = -2*w - 5*z. Let h be (-2)/w*(3 - 3). What is b in h + b + 0 - b**2 = 0?
0, 1
Let i(t) be the first derivative of -t**4/12 + t**3/9 - 14. What is r in i(r) = 0?
0, 1
Let t(w) be the third derivative of -7*w**2 + 0 + 1/18*w**4 + 0*w + 1/9*w**3 + 1/90*w**5. Suppose t(y) = 0. Calculate y.
-1
Suppose -m = -f - 4, 9 = 3*f + 2*m - 4. Suppose -4*q - r + 17 = 0, -10 = -2*q - 3*r + f. Factor 2*b + b**4 - q*b**2 - 5*b**4 + 4*b**3 - b**2 + 3*b**4.
-b*(b - 2)*(b - 1)**2
Factor -4*x + 0 + 1/2*x**3 + x**2.
x*(x - 2)*(x + 4)/2
Suppose -7 = 3*s - 52. Suppose -4*y - 3 = -s. Solve -5/2*t**4 + 0 + t + 5/2*t**2 - t**y = 0 for t.
-1, -2/5, 0, 1
Let q(r) = -r + 8. Let o be q(6). Determine v so that 4*v - 2*v**3 + 8 + 14*v - 2*v**o + 14*v**2 + 4*v**3 = 0.
-4, -1
Let h be 36/54 - (-13)/3. Let o(r) be the third derivative of 0*r + 2*r**2 + 1/270*r**h - 2/27*r**3 - 1/108*r**4 + 0. Solve o(j) = 0.
-1, 2
Let k(u) be the third derivative of -u**8/168 - u**7/21 - u**6/6 - u**5/3 - 5*u**4/12 - u**3/3 - 18*u**2. Find q, given that k(q) = 0.
-1
Let g(k) = 3*k**3 - 26*k**2 - 11*k + 18. Let p be g(9). Determine x, given that p*x**2 + 2/9*x**3 - 2/9*x + 0 = 0.
-1, 0, 1
Let c(t) be the second derivative of -t**4/60 + t**3/15 + 22*t. Factor c(u).
-u*(u - 2)/5
Let k(s) be the first derivative of s**3/5 + 3*s**2/2 + 18*s/5 + 14. Factor k(a).
3*(a + 2)*(a + 3)/5
Let b(v) be the second derivative of 1/126*v**7 - 1/18*v**4 + 0*v**5 - v - 1/18*v**3 + 0*v**2 + 1/45*v**6 + 0. Find z such that b(z) = 0.
-1, 0, 1
Suppose -h - 3*d = 18, d + 62 = h - 6*h. Let u be h/8*(-8)/30. Find v such that 2/5 - 2/5*v**5 - u*v - 4/5*v**2 + 4/5*v**3 + 2/5*v**4 = 0.
-1, 1
Let i(c) be the third derivative of 0*c + 0*c**3 + 0*c**4 + 1/40*c**6 + 0 - 1/10*c**5 - 3*c**2. Factor i(v).
3*v**2*(v - 2)
Factor -w**2 - 1/2 + 1/4*w**3 + 5/4*w.
(w - 2)*(w - 1)**2/4
Let j(p) be the third derivative of p**6/72 + p**5/90 - 5*p**4/72 - p**3/9 + 24*p**2. Factor j(f).
(f - 1)*(f + 1)*(5*f + 2)/3
Let w(x) be the third derivative of -x**8/24 - 4*x**7/35 - x**6/20 + x**5/15 - 3*x**2. Determine h, given that w(h) = 0.
-1, 0, 2/7
Let x = 10 + -5. Factor -x*c + 4 + 2 - 14*c + 3*c**2 + 6*c**3 + 4*c.
3*(c - 1)*(c + 2)*(2*c - 1)
Let r(c) = c**2 + 3*c + 2. Let z be r(-3). Factor 0*k + 0*k**z + 2/3*k**3 + 0 + 1/3*k**4.
k**3*(k + 2)/3
Let -1/3*f**3 + 0*f**2 + 0 + 0*f = 0. Calculate f.
0
Let i(q) be the first derivative of q**2/2 + 5*q + 2. Let l be i(0). Determine r so that 0*r**2 + 0*r + 8/5*r**l - 2/5*r**4 + 0*r**3 + 0 = 0.
0, 1/4
Suppose -w - 4*v = 2*w - 22, 0 = -w + 3*v - 10. Let j(b) be the first derivative of -2 + 0*b - b**w - 7/3*b**3. Factor j(q).
-q*(7*q + 2)
Let 