x**2 - 15 + 6*x**2.
5*(x - 1)*(x + 1)*(x + 2)
Let f(u) be the second derivative of -2/7*u**2 + 0 - 4*u - 1/21*u**4 - 4/21*u**3. Factor f(a).
-4*(a + 1)**2/7
Let v(s) be the third derivative of s**8/168 - 6*s**7/35 + 71*s**6/60 - 37*s**5/15 - 5*s**4 + 104*s**3/3 - 2*s**2 - 18. Factor v(c).
2*(c - 13)*(c - 2)**3*(c + 1)
Let d(w) be the second derivative of 5*w**4/6 - 9*w**3/2 - 9*w**2/2 - 199*w. Factor d(o).
(o - 3)*(10*o + 3)
Let n(k) be the first derivative of 2*k**6/27 + 28*k**5/45 + 11*k**4/9 + 20*k**3/27 - 135. Find l, given that n(l) = 0.
-5, -1, 0
Let y be 21/(-2)*(5 - 124/24). Let t(s) = 2*s - 7. Let o be t(5). Factor 5/4*v**4 + 9/4*v**o + 0 + y*v**2 + 1/4*v**5 + 1/2*v.
v*(v + 1)**3*(v + 2)/4
Let o(d) be the first derivative of d**4/10 + 62*d**3/15 + 319*d**2/5 + 2178*d/5 - 305. Factor o(r).
2*(r + 9)*(r + 11)**2/5
Let q(n) be the first derivative of n**4 + 3 + 8/5*n**5 + 2/3*n**6 + 0*n**3 + 0*n + 0*n**2. Factor q(s).
4*s**3*(s + 1)**2
Let s(a) be the third derivative of 1/21*a**4 - 1/105*a**5 - 7/6*a**3 + 0*a + 5*a**2 + 0 + 1/1260*a**6. Let n(x) be the first derivative of s(x). Factor n(u).
2*(u - 2)**2/7
Let l(n) be the second derivative of n**4/4 + 13*n**3/2 + 63*n**2 - 117*n. Factor l(a).
3*(a + 6)*(a + 7)
Suppose 5*w - 17 = q, -2*q - 5*w + w = -36. Let v(a) be the first derivative of -4*a**2 - 3*a - a**3 + a**2 + 7 - q. Solve v(c) = 0.
-1
Let a(u) be the first derivative of -u**4/10 - 2*u**3/3 - 3*u**2/5 + 18*u/5 - 121. Factor a(o).
-2*(o - 1)*(o + 3)**2/5
What is m in -7*m + 29/4 - 1/4*m**2 = 0?
-29, 1
Let z(h) be the first derivative of -h**5 - 5*h**4/2 + 40*h**3/3 - 44. Factor z(d).
-5*d**2*(d - 2)*(d + 4)
Let f(y) = y**3 - 6*y**2 - 7*y + 3. Let j be f(7). Let g be j*(-4 - -8 - 3). Let -4*z + 3*z**2 - 7*z**2 - 4*z**2 - 4*z**g = 0. What is z?
-1, 0
Let j be 1*21/(63/4). Let v(l) be the first derivative of -4*l - 5 - j*l**3 + 4*l**2. Solve v(s) = 0 for s.
1
Let p(q) be the first derivative of -2*q**3/15 + q**2/5 + 102. Find h such that p(h) = 0.
0, 1
Factor -8*v**3 + 6*v**3 + 56 - 64*v + v**2 + 25*v**2 - 4*v**2.
-2*(v - 7)*(v - 2)**2
Let t(o) = -8*o + 3*o**3 + 7*o - o - 2*o**3. Let a be t(0). Factor -2/3*p**3 + a*p**4 + 0 + 1/3*p**5 + 0*p**2 + 1/3*p.
p*(p - 1)**2*(p + 1)**2/3
Let h = -289 - -8671/30. Let x(t) be the first derivative of -5 + h*t**4 + 0*t + 4/45*t**3 + 1/15*t**2. Factor x(r).
2*r*(r + 1)**2/15
Let t(l) be the third derivative of -l**5/30 - 49*l**4/2 - 7203*l**3 - 22*l**2 - 2*l. Factor t(m).
-2*(m + 147)**2
Let b(i) = -i**2 - 101*i - 198. Let m be b(-2). Determine w so that 1/4*w - 1/4*w**2 + m = 0.
0, 1
Suppose 4*q - 4 - 16 = 0. Suppose -2*s + 5 = -n + 1, -q*s = 5*n - 40. Find j such that -2/3*j**n + 2/3*j + j**2 + 0 - j**3 = 0.
-2, -1/2, 0, 1
Let s(v) = v**2 + 20*v - 19. Let x be s(-21). Factor t - t**4 + 2*t**3 + 0 - 2 + 3*t**2 - x*t - t**3.
-(t - 2)*(t - 1)*(t + 1)**2
Find t, given that -40 + 28*t**2 - 8*t**3 + 24*t + 1/2*t**5 - 9/2*t**4 = 0.
-2, 1, 2, 10
What is w in -9/5*w**4 - 69/5*w**2 - 66/5*w**3 + 24/5*w + 36/5 = 0?
-6, -1, 2/3
Let m be 28/12 - (11 - 10). Let v(f) be the second derivative of 4*f + 0*f**2 + 4/3*f**4 + m*f**3 + 1/15*f**6 + 1/2*f**5 + 0. Factor v(n).
2*n*(n + 1)*(n + 2)**2
Suppose 5*t + 0*t - 10 = 0. Let g(s) = -s**2 - 5*s + 2. Let p be g(-5). Factor 5*q - 3*q**t - q**p - 5*q - 2*q**3 + 4 + 2*q.
-2*(q - 1)*(q + 1)*(q + 2)
Let n(p) be the second derivative of -1/30*p**5 - 4*p + 1/18*p**4 - 3/2*p**2 + 1/180*p**6 + 0*p**3 + 0. Let c(k) be the first derivative of n(k). Factor c(h).
2*h*(h - 2)*(h - 1)/3
Let c(r) be the third derivative of 0 + 9/20*r**5 + 9*r**2 + 1/8*r**6 + 0*r**3 - 1/4*r**4 + 0*r. Solve c(g) = 0.
-2, 0, 1/5
Let p be (21/(-14))/(((-15)/4)/5). Factor -p*h**2 - 5*h + h**2 - 7*h**2 - 17*h**2.
-5*h*(5*h + 1)
Let v(t) be the third derivative of -t**6/72 - t**5/8 - 5*t**3/6 - 9*t**2. Let i(m) be the first derivative of v(m). Factor i(a).
-5*a*(a + 3)
Let g(x) be the third derivative of x**7/630 - x**6/72 + x**5/60 + 5*x**4/72 - 2*x**3/9 - 165*x**2. Factor g(k).
(k - 4)*(k - 1)**2*(k + 1)/3
Let s = -11 + 14. Let l = s + 3. Factor -6*z**3 + l - z**4 - 2*z**4 + 6*z - 3.
-3*(z - 1)*(z + 1)**3
Let s(v) = v**3 + 2*v**2 - v + 9. Let a be s(-3). Suppose 6*o - a*o = y - 13, -o - 3 = 0. Factor 0*f - 1/3*f**y + 0 - 2/3*f**3 + 0*f**2 + 1/3*f**5.
f**3*(f - 2)*(f + 1)/3
Let h be (434/16)/(-7) + 4. Let w(q) be the first derivative of 6 - 1/12*q**3 + 0*q - h*q**2. Suppose w(l) = 0. What is l?
-1, 0
Let k be 1288/(-140) - 60/(-6). Determine d, given that 0*d**2 + k*d**5 + 4/5*d + 0*d**4 + 0 - 8/5*d**3 = 0.
-1, 0, 1
Let k(o) be the second derivative of o**5/20 - o**4/8 - o**3 + 11*o**2/2 - 16*o. Let h(t) be the first derivative of k(t). Let h(a) = 0. Calculate a.
-1, 2
Let v(n) be the third derivative of -3*n**3 + 0 + 1/20*n**5 + 9*n**2 + 5/8*n**4 + 0*n. Factor v(l).
3*(l - 1)*(l + 6)
Let w(y) = -11*y**2 + 42*y - 4. Let h(q) = -q**2 - 7*q. Let v(k) = -6*h(k) - 3*w(k). Let v(d) = 0. What is d?
2/13, 2
Let p(d) be the first derivative of 3*d**5/25 - 18*d**4/5 + 3*d**3 + 294*d**2/5 - 828*d/5 - 725. Suppose p(l) = 0. Calculate l.
-3, 2, 23
Suppose -2*j + 1 = -u - j, 0 = -5*u + j - 9. Let z(t) = -3*t - 2. Let m be z(u). What is o in 2 + m - 4 - 6*o + 2 + 2*o**2 = 0?
1, 2
Suppose 7*o = 3*o + 4. Suppose o = 4*n - 5*n - 3*p, 4*p - 4 = -4*n. Factor -5*d**2 + 19 - 16 + n*d**2.
-3*(d - 1)*(d + 1)
Suppose 3*v = -r + 34, 5*v - 12*r = -13*r + 54. Let q be (18/26)/(v/60) - 4. What is d in -q*d**2 + 0*d + 2/13 = 0?
-1, 1
Let q(l) be the third derivative of l**5/15 - 3*l**4/2 - 20*l**3/3 - 4*l**2 - 31*l. Factor q(a).
4*(a - 10)*(a + 1)
Let y(m) = -41*m**2 + 145. Let l(j) = -65*j**2 + 217. Let o(u) = 5*l(u) - 8*y(u). Suppose o(t) = 0. What is t?
-5, 5
Let c be (-248)/(-155) - 21/15. Find z such that 0 - 1/5*z**3 + 0*z + c*z**2 = 0.
0, 1
Let i(z) be the first derivative of 3*z**5/10 - 9*z**4/2 + 29*z**3/2 - 27*z**2/2 - 659. Solve i(n) = 0 for n.
0, 1, 2, 9
Suppose 0*g = 2*g - 16. Let a = g - 6. Factor -1 - 2*l**2 + a + l**4 + 0*l**4 + 0*l**4.
(l - 1)**2*(l + 1)**2
Let t(p) = -p**2 + 452*p + 3217. Let q be t(-7). Suppose -3/4*s + 9/4*s**2 - 9/4*s**3 + 3/4*s**q + 0 = 0. Calculate s.
0, 1
Factor -14*m**3 + 0 - 8*m**2 - 8/7*m.
-2*m*(7*m + 2)**2/7
Suppose -3 = z, 10*z = -4*b + 5*z + 5. Factor 20*n**5 - 20*n + 19*n**5 - 34*n**5 - 50*n**2 + b*n**3 + 40 + 20*n**4.
5*(n - 1)**2*(n + 2)**3
Let o(q) be the third derivative of -11/96*q**4 + 121/48*q**3 + 0*q + 34*q**2 + 0 + 1/480*q**5. Suppose o(x) = 0. Calculate x.
11
Let k = 64 + -60. Suppose -325*q - 4*q**4 + 166*q + 167*q - 8*q**3 + k = 0. What is q?
-1, 1
Let j(g) be the first derivative of g**6/54 + 11*g**5/45 + 13*g**4/12 + 61*g**3/27 + 22*g**2/9 + 4*g/3 + 417. Factor j(d).
(d + 1)**3*(d + 2)*(d + 6)/9
Let y be (-2)/(-8) + ((-2190)/(-8))/5. Factor -45 + y + f**2 + 54 - 16*f.
(f - 8)**2
Let v(u) be the third derivative of u**8/168 - 2*u**7/35 - 17*u**6/30 - 28*u**5/15 - 13*u**4/4 - 10*u**3/3 - 26*u**2 - 2. Factor v(y).
2*(y - 10)*(y + 1)**4
Suppose -5*g + 10 = 0, -4*y - 5*g = -31 + 141. Let q be (-21)/y + ((-4)/(-5) - 1). Factor 0 - q*m - 1/2*m**2.
-m*(m + 1)/2
Let f(x) be the third derivative of -x**8/60480 - x**7/3780 - x**6/720 - x**5/4 + 6*x**2. Let j(h) be the third derivative of f(h). Factor j(n).
-(n + 1)*(n + 3)/3
Let h(c) = -7*c**2 - 9*c - 6. Let s(b) = 2 - 4 - 4 - 6*b**2 + 3*b - 12*b. Let u(j) = -3*h(j) + 4*s(j). Determine n so that u(n) = 0.
-2, -1
Let i(v) be the first derivative of -2 + 1/3*v**3 + 2*v - 3/2*v**2. Find z such that i(z) = 0.
1, 2
Let c(u) be the second derivative of u**7/189 - 22*u**6/135 + 4*u**5/9 - 108*u. Factor c(q).
2*q**3*(q - 20)*(q - 2)/9
Let u(g) be the second derivative of 8/3*g**2 + 4/9*g**3 + 1/36*g**4 - 2*g + 0. Factor u(p).
(p + 4)**2/3
Let f(g) = 2*g + 10. Let w be (-2)/(-2) + -1 + -5. Let k be f(w). Factor 12*s + k*s**2 - 3*s**2 - 3*s.
-3*s*(s - 3)
Let s(a) be the second derivative of a**6/2 - 7*a**5 + 275*a**4/12 + 125*a**3/3 + 26*a + 2. Find y such that s(y) = 0.
-2/3, 0, 5
Let s(w) be the first derivative of -w**3/33 + w**2/11 + 3*w/11 - 98. Solve s(j) = 0 for j.
-1, 3
Let r be (-2 + 3)*(8 - 5). Let x = 619/4 - 154. Solve -3/4*f**4 + 0 + 0*f + x*f**r + 0*f**2 = 0 for f.
0, 1
Let z(x) be the second derivative of -5*x - 1/4*x**5 -