 y?
3
Factor -25/2*k**2 + 335/2*k - 65.
-5*(k - 13)*(5*k - 2)/2
Let g(h) = -h**4 - 6*h**3 - 8*h**2 + 4*h + 7. Let b(f) = -f - 1. Let z(v) = -2*b(v) + g(v). Let z(x) = 0. Calculate x.
-3, -1, 1
Let p(q) be the third derivative of 10*q**2 - 7/108*q**4 - 1/108*q**6 + 2/27*q**3 + 1/945*q**7 + 1/30*q**5 + 0 + 0*q. Let p(k) = 0. Calculate k.
1, 2
Let q = -14 + 17. Factor 21*j**q - 9*j**4 + 3*j**4 + 2*j**5 - 15*j**3 - 2*j**2.
2*j**2*(j - 1)**3
Determine g, given that -248/5*g - 48 - 2/5*g**3 - 68/5*g**2 = 0.
-30, -2
Let u(f) be the second derivative of -f**4/42 - 8*f**3/7 - 23*f**2/7 + 342*f. Solve u(m) = 0 for m.
-23, -1
Let l(b) be the third derivative of b**5/60 + 11*b**4/24 + 14*b**3/3 - 346*b**2. Factor l(c).
(c + 4)*(c + 7)
Let u(f) be the third derivative of -f**7/420 - f**6/80 - f**5/40 - f**4/48 - 130*f**2. Find g, given that u(g) = 0.
-1, 0
Let b(r) be the second derivative of -729*r**5/160 + 207*r**4/32 + 13*r**3/6 + r**2/4 - 56*r. Suppose b(x) = 0. What is x?
-2/27, 1
Suppose 0 = t - 0 - 4. Let i be 18/(-12)*(-11)/(77/14). Factor 0 + 2/9*u + 2/9*u**t - 2/9*u**i - 2/9*u**2.
2*u*(u - 1)**2*(u + 1)/9
Let d be (684/315 + -2)*(-20)/8 - -1. Factor 8/7 - 4/7*l - d*l**2.
-4*(l - 1)*(l + 2)/7
Let i be 87/((-12)/(-4)) + -4. Factor 15*z**2 - z + 11*z**2 - i*z**2.
z*(z - 1)
Let v(s) be the second derivative of -s**5/150 - s**4/6 + 4*s**3/45 + 4*s**2 - 2*s - 59. Find r such that v(r) = 0.
-15, -2, 2
Let y(v) be the second derivative of v**5/90 + v**4/54 - v**3/27 - v**2/9 + 74*v. Let y(m) = 0. What is m?
-1, 1
Let o(k) be the third derivative of 0*k - 1/10*k**5 + 0 - 1/60*k**6 + 0*k**4 - 5*k**2 + 4/3*k**3. Find v such that o(v) = 0.
-2, 1
Factor 8 + 11/2*h**2 + 13*h + 1/2*h**3.
(h + 1)*(h + 2)*(h + 8)/2
Determine f, given that 0 + 1/2*f**2 - 31*f = 0.
0, 62
Let d(j) be the third derivative of j**7/4620 - j**5/165 - 3*j**3/2 + 12*j**2. Let s(p) be the first derivative of d(p). Suppose s(o) = 0. What is o?
-2, 0, 2
Let f(w) be the first derivative of 2*w**5/25 + 7*w**4/10 - 34*w**3/15 + 9*w**2/5 + 38. Factor f(b).
2*b*(b - 1)**2*(b + 9)/5
Let m(l) = 10*l**4 + 34*l**3 - 18*l**2 - 22*l + 8. Let w(q) = -q**4 - 2*q**3 + q**2 + q. Let g(a) = -m(a) - 12*w(a). Determine n so that g(n) = 0.
-1, 1, 4
Let v be ((-2)/(-12) - (-44)/(-264))/(-1). Factor -15/2*p**2 + 5*p + 0 + 5/2*p**4 + v*p**3.
5*p*(p - 1)**2*(p + 2)/2
Factor 2*m**2 + 2/7*m + 0.
2*m*(7*m + 1)/7
Let k(z) be the second derivative of -z**7/70 + 17*z**6/200 - 3*z**5/50 + 5*z**2 - 15*z. Let d(u) be the first derivative of k(u). Determine b so that d(b) = 0.
0, 2/5, 3
Let s be (68/(-459))/(2/(-36)). Suppose 4/3*o**2 + s + 4*o = 0. Calculate o.
-2, -1
Suppose -s + 32 = 5*l, 0*s + 4*l = 3*s - 134. Factor -18*o**3 - 4*o**4 - s*o**2 + 4 - 1 + 2*o**4 - 38*o - 15.
-2*(o + 1)**3*(o + 6)
Let j be 2/(-9) - (-1494)/162. Solve 0 + 9 - j*n + 4*n**2 - 7 + 0*n**2 = 0 for n.
1/4, 2
Let g(n) be the second derivative of 0 - 5/24*n**4 - 3/4*n**2 - 3*n - 7/12*n**3 - 1/40*n**5. Solve g(c) = 0 for c.
-3, -1
Let p be ((-3)/2)/(9*(-1)/(-48)). Let d be ((-4)/(84/(-9)))/(p/(-14)). Let -d*s**2 + 3/4*s - 1/4 + 1/4*s**3 = 0. Calculate s.
1
Let s(u) = -2*u**2 - 39*u - 10. Let x be s(-18). Suppose l - d = -4*d - 4, 4*l - 3*d = x. Solve -4/9*h - 8/3*h**5 - l*h**3 + 0 - 10/3*h**2 - 70/9*h**4 = 0.
-1, -2/3, -1/4, 0
Let p = -85 - -163. What is r in -p*r - 2*r**2 + 8 + 8 + 74*r = 0?
-4, 2
Suppose 36*c = 59*c. Let j(f) = f**3 + 6*f**2 - 7*f + 4. Let s be j(-7). Factor 0*v**s - 6/7*v**3 - 4/7*v**2 + 0*v + c + 2/7*v**5.
2*v**2*(v - 2)*(v + 1)**2/7
Suppose 0 = 4*v + v + 2*h - 72, -4*v - 5*h = -61. Let m = -10 + v. Factor m + 0*o**2 + 2*o**3 + 4*o**2 - 4.
2*o**2*(o + 2)
Let s be ((-2)/18)/(8 - (-1649)/(-204)). Let h(z) be the first derivative of -4*z**2 + 12*z - 8 - s*z**3. Determine i so that h(i) = 0.
-3, 1
Let f(h) = -3*h**3 - 2*h**2 - 2*h - 1. Let p be f(-1). Suppose -p*a + 14 = 2. Determine s, given that 4 - 4 - s - 4*s**4 - s**5 - 4*s**2 - a*s**3 = 0.
-1, 0
Let u = 63/5 - 12. Let 21/5*m + u*m**3 + 3*m**2 + 9/5 = 0. Calculate m.
-3, -1
Let s(v) = v + 15. Let p be s(-12). Factor 3*t**5 - 3*t**4 - 1 - 2 - 3*t**2 - 6*t**p + 3*t + 9*t**2.
3*(t - 1)**3*(t + 1)**2
Factor h**2 + 15/2*h - 18 - 1/2*h**3.
-(h - 3)**2*(h + 4)/2
Let z(u) = -11*u**3 + 36*u**2 + 21*u - 26. Let v(x) = -100*x**3 + 325*x**2 + 190*x - 235. Let p(d) = -4*v(d) + 35*z(d). Find m such that p(m) = 0.
-1, 2/3, 3
Let v = 8410/6309 + 2/6309. Factor a - v + 1/3*a**2.
(a - 1)*(a + 4)/3
Let d(g) be the first derivative of 48*g - 11*g**2 + g**2 - 30 - 3*g**3 - 23*g**2. Factor d(r).
-3*(r + 8)*(3*r - 2)
Let y(j) be the first derivative of -2*j**6/15 - j**5/5 + j**4/6 + 6*j**2 + 1. Let x(b) be the second derivative of y(b). Let x(s) = 0. What is s?
-1, 0, 1/4
Suppose 0 = 5*u - 2*x + 41, 0*x = 2*u - x + 16. Let o = 12 + u. Factor 6*q**3 - 3*q**4 - 2*q**4 + o*q**4 - 4*q**2.
-2*q**2*(q - 2)*(q - 1)
Find j such that 9/7 - 6/7*j + 1/7*j**2 = 0.
3
Let f(o) be the first derivative of 2*o**3/5 - 54*o**2/5 + 486*o/5 + 72. Solve f(i) = 0 for i.
9
Let l(p) be the second derivative of p**5/10 - 5*p**4/6 + 2*p**3/3 + 8*p**2 + p + 98. Factor l(c).
2*(c - 4)*(c - 2)*(c + 1)
Let h = -5203 - -67689/13. Let -h - 2/13*y**2 + 20/13*y = 0. Calculate y.
5
Find o such that -874/9*o**2 - 2/9*o**4 + 80/9*o**3 + 0 + 1444/9*o = 0.
0, 2, 19
Suppose -15 = -12*l - 24*l + 129. Solve 0 + 0*q - 1/3*q**l - 1/3*q**2 - 2/3*q**3 = 0.
-1, 0
Determine q so that 54*q + 55*q**4 - 15*q**5 - 21 - 75*q**2 - 25*q**3 + 41 - 14*q = 0.
-1, -1/3, 1, 2
Let b be (11/(-33))/((-1)/6). Let v be 3 - 2*-3*b. Suppose -3*t - 13*t**3 - t + v*t**3 + 2*t**2 = 0. What is t?
-2, 0, 1
Let k be ((-11)/44 - (-3)/(-4))*-3. Solve 1/2*t**k + 0 + 0*t + 1/4*t**2 + 1/4*t**4 = 0 for t.
-1, 0
Suppose -4362 + 3870 = -246*a. Factor 0 + 2/13*o**a + 22/13*o.
2*o*(o + 11)/13
Let h be 0/(-10) - (-5 + 1). Suppose h*l = -0*l + 12. Factor 0 + 20*p**2 - 27*p - 2*p**2 + 12 - 3*p**l.
-3*(p - 4)*(p - 1)**2
Let f(l) be the first derivative of -3*l**5/20 + 3*l**4/4 - l**3 + 6*l + 5. Let s(j) be the first derivative of f(j). Suppose s(n) = 0. What is n?
0, 1, 2
Factor -s**4 - 7*s**3 + 2*s**3 + 7*s**2 + 288*s - 283*s - 6.
-(s - 1)**2*(s + 1)*(s + 6)
Let i = 2/2971 + 5936/8913. Let t(h) be the first derivative of 0*h - 2/5*h**5 + i*h**3 + 0*h**2 + 5 + 0*h**4. Find m, given that t(m) = 0.
-1, 0, 1
Suppose 0 = -3*b - 3*x - 6, -b + 8*x = 4*x - 3. Let n = b + 11/4. Factor n*p**3 + 0 + 1/2*p**2 + 0*p.
p**2*(7*p + 2)/4
Let f = -2596 + 2599. Let z(s) be the first derivative of 0*s + 0*s**f - 1/10*s**4 + 0*s**2 - 2/25*s**5 - 4. What is b in z(b) = 0?
-1, 0
Let j = -2927 + 8855/3. Let h = j - 21. Solve -h*u - 13/3*u**2 + 2/3 = 0.
-1, 2/13
Factor -25*s + 3*s**3 + 6*s**3 + 28*s**4 - 10*s**4 - 17*s**4 + 4*s**3 - 250 + 45*s**2.
(s - 2)*(s + 5)**3
Let j(t) be the second derivative of -t**4/72 - t**3/4 + 2*t + 26. Factor j(v).
-v*(v + 9)/6
Suppose 0 = -c + 3*v + v - 309, 4*c + 1281 = v. Let w = c - -3535/11. Suppose -8/11*t**4 + 10/11*t + w*t**2 + 4/11 - 2/11*t**5 - 8/11*t**3 = 0. What is t?
-2, -1, 1
Let u(n) = n**4 - n**3 + n**2 + 3*n. Let h(q) = -4*q**4 + 18*q**3 - 77*q**2 + 123*q - 72. Let v(d) = -h(d) - 3*u(d). Factor v(j).
(j - 6)**2*(j - 2)*(j - 1)
Let q(r) be the second derivative of r**3/6 - 34*r. Let h(k) = 4*k**2 - 105*k + 676. Let v(a) = -h(a) - q(a). Factor v(i).
-4*(i - 13)**2
Suppose 7*u**3 - 6*u**3 + 26*u**2 + 66*u**2 = 0. Calculate u.
-92, 0
Let j(i) be the third derivative of -i**8/10080 + i**7/1260 - i**6/360 - 2*i**5/15 + 2*i**2. Let b(a) be the third derivative of j(a). Factor b(y).
-2*(y - 1)**2
Find o such that 79*o - 15 - 8*o - 9*o**2 - 3*o**3 - 44*o = 0.
-5, 1
Let d = 530 - 948. Let r be d/(-231) + 5/(-3). Factor 1/7*f**4 - 2/7 + r*f**2 + 3/7*f**3 - 3/7*f.
(f - 1)*(f + 1)**2*(f + 2)/7
Let d(l) be the second derivative of 31*l + 0 + 1/96*l**4 + 1/8*l**3 + 1/2*l**2. Let d(r) = 0. What is r?
-4, -2
Let u(o) be the first derivative of -4*o**3/3 - 56*o**2 - 95. Determine r, given that u(r) = 0.
-28, 0
What is r in -1/6*r**2 + 1/6*r + 1 = 0?
-2, 3
Let v(z) be the third derivative of z**5/180 - 49*z**4/36 + 2401*z**3/18 - 2*z**2 - 36. Factor v(x).
(x - 49)**2/3
Let j = 17295 + -17292. What is u in 6*u**2 - j*u**5 + 0*u**4 - 3/2 - 9/4*u + 39/4*u**3 = 0?
-1, -1/2, 1/2, 2
