/5 - 3697. Solve m*l**3 + 0 + 32/5*l - 16/5*l**2 = 0 for l.
0, 4
Suppose 25/4*d + 1/4*d**3 - 4*d**2 + 21/2 = 0. Calculate d.
-1, 3, 14
Suppose 2*y = -4*n - 22 - 6, -4*y - 2*n = 26. Let k be 1/y*(-31 - -25). Factor -9/2*x**2 - k*x**3 + 3/2*x + 3/2*x**4 + 3.
3*(x - 2)*(x - 1)*(x + 1)**2/2
Suppose 0 = 326*o - 320*o. Let n(f) be the second derivative of 1/12*f**4 - 1/5*f**5 + o - f + 2/3*f**3 - 1/2*f**2. What is w in n(w) = 0?
-1, 1/4, 1
Let c(x) be the first derivative of 13 + 1/16*x**4 + 3/4*x + 1/12*x**3 - 5/8*x**2. Factor c(j).
(j - 1)**2*(j + 3)/4
Suppose 21*j - 11*j - 20 = 0. Find c such that -164*c**2 + 82*c**j - 2*c + 81*c**2 = 0.
-2, 0
Let a(v) be the first derivative of -v**6/18 + 11*v**5/15 - 292. Factor a(i).
-i**4*(i - 11)/3
Factor 12*u**3 + 2/7*u**5 + 30/7 + 20*u**2 + 22/7*u**4 + 106/7*u.
2*(u + 1)**3*(u + 3)*(u + 5)/7
Factor 0 - 3/4*i**3 + 12*i**2 - 21*i.
-3*i*(i - 14)*(i - 2)/4
Let c(v) be the second derivative of -v**5/20 + v**4 - 8*v**3 + 32*v**2 - 27*v. Factor c(b).
-(b - 4)**3
Let p(n) be the second derivative of 0 - 10*n - 1/6*n**2 + 1/9*n**3 - 1/36*n**4. Factor p(d).
-(d - 1)**2/3
Suppose -3*q - 4*f - 42 = 0, 28 = -4*q + 2*q - 4*f. Let u = q - -44/3. Factor u*w**2 - 1/3 + 1/3*w.
(w + 1)*(2*w - 1)/3
Let z = -101/39 - -2855/741. What is w in 2/19*w**4 - 16/19 - 6/19*w**3 - 4/19*w**2 + z*w = 0?
-2, 1, 2
Let p(i) be the third derivative of i**5/420 - 17*i**4/42 + 578*i**3/21 - i**2 - 17*i. Determine u, given that p(u) = 0.
34
Let o(j) be the first derivative of -35*j**6/12 + 65*j**5/2 + 15*j**4/8 - 1045*j**3/6 + 230*j**2 - 90*j - 162. Solve o(q) = 0.
-2, 2/7, 1, 9
Let r(m) be the second derivative of -m**6/60 - m**5/4 - 3*m**4/8 + 69*m. Solve r(s) = 0.
-9, -1, 0
Let a(d) be the first derivative of -3*d**2 - 8/3*d**3 - 1/2*d**4 + 3 + 0*d. Solve a(q) = 0.
-3, -1, 0
Let o(j) be the first derivative of -j**5 + 20*j**4 - 40*j**3 - 800*j**2 - 2000*j + 570. Solve o(z) = 0 for z.
-2, 10
Let t(o) be the third derivative of -5*o**8/1344 + 13*o**7/840 + 7*o**6/160 - 49*o**5/240 + o**4/12 + o**3/2 - 87*o**2. Find k, given that t(k) = 0.
-2, -2/5, 1, 3
Let l be (2 + (-26)/4)/((-3)/4). Suppose 5*g - 9 = l. Suppose 0 + 2/11*f + 0*f**2 - 2/11*f**g = 0. Calculate f.
-1, 0, 1
Let a be 7 + -7 - (-1 - -16). Let j be (-24)/(-10)*a/(-6). Factor j*y**2 - 4*y - 3*y + y - 4*y**2 + 4.
2*(y - 2)*(y - 1)
Let b(m) be the second derivative of m**7/14 - 19*m**6/30 + 31*m**5/20 + m**4/4 - 3*m**3 - 57*m. Determine c so that b(c) = 0.
-2/3, 0, 1, 3
Let h(c) be the second derivative of -3*c**6/50 - 21*c**5/100 + 13*c**4/20 + 23*c**3/10 + 9*c**2/5 - 22*c - 1. Solve h(d) = 0.
-3, -1, -1/3, 2
Let q(l) be the second derivative of -28*l - 1/4*l**4 + 0 - 2*l**3 + 0*l**2. Factor q(a).
-3*a*(a + 4)
Let b(u) = u**2 + 14*u + 15. Let g be b(-13). Let j(o) be the first derivative of -1/2*o**4 + o**g - 4/3*o**3 + 4*o + 3. Determine a, given that j(a) = 0.
-2, -1, 1
Let m(b) be the third derivative of b**8/336 - b**6/24 + b**5/12 - 15*b**3/2 + 34*b**2. Let i(q) be the first derivative of m(q). Suppose i(x) = 0. Calculate x.
-2, 0, 1
Let q(p) = -7*p**3 + p**2 + 15*p - 16. Let l(s) = 3*s**3 - 8*s + 8. Let f(v) = 7*l(v) + 4*q(v). Let n(z) = -z**3 - 1. Let g(o) = 5*f(o) - 40*n(o). Factor g(i).
5*i*(i + 2)**2
Factor -196/9 - 4/9*w**2 - 56/9*w.
-4*(w + 7)**2/9
Let b(f) be the third derivative of 0*f + 30*f**3 + 0 + 5/2*f**4 + 15*f**2 + 1/12*f**5. Find p, given that b(p) = 0.
-6
Let p(x) be the third derivative of 0 - 1/18*x**4 + 2/9*x**3 + 1/180*x**5 + 0*x - 8*x**2. Factor p(j).
(j - 2)**2/3
Let b(s) be the first derivative of -s**3/6 - 7*s**2/4 - 3*s - 72. Solve b(w) = 0 for w.
-6, -1
Suppose l + 3*a - 19 = -a, -22 = -2*l - 4*a. Suppose -l*s + 4*f = -26, -3*s - 3*f - 8 = -20. Factor 0*b**3 + 0*b**3 + 6*b**3 + 15*b - 3*b**3 - 12*b**2 - s.
3*(b - 2)*(b - 1)**2
Let n(j) be the third derivative of -j**7/140 - 7*j**6/80 - 3*j**5/20 - 13*j**2 - 12. What is h in n(h) = 0?
-6, -1, 0
Let a(c) be the second derivative of -c**6/40 - 7*c**5/40 - c**4/4 + 17*c**3/6 + 29*c - 1. Let u(z) be the second derivative of a(z). Factor u(g).
-3*(g + 2)*(3*g + 1)
Factor 5 - 134*p**4 - 10*p**2 + 269*p**4 - 130*p**4.
5*(p - 1)**2*(p + 1)**2
Find j such that 167/2*j - 27889/4 - 1/4*j**2 = 0.
167
Let c(g) be the third derivative of -29*g**2 - 4/11*g**3 - g - 13/132*g**4 - 1/330*g**5 + 0. Factor c(w).
-2*(w + 1)*(w + 12)/11
Factor -243*h**2 + 2*h**5 - 32*h**3 - 5*h**5 + 279*h - 33*h**4 - 103*h**3 - 441*h.
-3*h*(h + 2)*(h + 3)**3
Let b be 1 + -1 + 20/4200. Let c(v) be the third derivative of 4*v**2 + 0 + 0*v**4 + b*v**5 - 1/21*v**3 + 0*v. Find w, given that c(w) = 0.
-1, 1
Let g(i) be the second derivative of -i**4/16 - 21*i**3 - 2646*i**2 - i - 50. Find y such that g(y) = 0.
-84
Let t(s) be the first derivative of 6*s**2 - 2*s**3 - 8*s + 1/4*s**4 + 12. Factor t(k).
(k - 2)**3
Factor 1/9*p - 1/3*p**2 + 14/9.
-(p + 2)*(3*p - 7)/9
Factor -237*b - 439*b + 104*b**2 - 4*b**3 + 2*b**3 + b**3 - 3*b**3.
-4*b*(b - 13)**2
Let p(l) be the second derivative of l**7/126 - l**6/45 - 2*l - 11. What is d in p(d) = 0?
0, 2
Let u = -88 - -64. Let z(r) = r**3 - r**2 - r. Let o(n) = 28*n**3 - 32*n**2 - 52*n - 16. Let a(w) = u*z(w) + o(w). Determine f so that a(f) = 0.
-1, 4
Suppose 70 - 74 = -2*l. Suppose w - 2*w = -l*w. Factor 0 + 3/4*g**4 + w*g - 1/4*g**2 - 1/2*g**3.
g**2*(g - 1)*(3*g + 1)/4
Let a = 3 + -6. Let c(q) = q**3 + 3*q**2 - 6*q - 7. Let d be c(a). Factor -3*n**2 - 5*n - d*n + 28*n - 9*n.
-3*n*(n - 1)
Let l be (-3256)/(-1554) - 2/21. Let n(s) be the first derivative of l + 4/7*s**2 - 2/7*s**3 - 2/7*s. Solve n(k) = 0 for k.
1/3, 1
Let n(a) be the second derivative of 0*a**3 - 31*a - 1/24*a**4 + 0 + a**2. Factor n(j).
-(j - 2)*(j + 2)/2
Let d(m) be the first derivative of -2*m**5/15 - m**4/3 - 2*m**3/9 + 54. Factor d(i).
-2*i**2*(i + 1)**2/3
Let b(u) be the second derivative of u**4/12 - 5*u**3/3 + 9*u**2/2 - 3*u. What is q in b(q) = 0?
1, 9
Let a(d) be the second derivative of 2*d**2 + 8*d - 1/3*d**4 + 2/3*d**3 - 1/5*d**5 + 0. Factor a(w).
-4*(w - 1)*(w + 1)**2
Let t be 49/72 - (-8)/(-12). Let o(g) be the second derivative of -1/12*g**2 + 0 - 4*g - t*g**4 - 1/18*g**3. Find m, given that o(m) = 0.
-1
Suppose 2*s - 5*r = 35, 2*r + 6 = -s + 1. Factor 9*m**2 - 95*m - 18*m**2 - 45 + m**2 - s*m**3 - 47*m**2.
-5*(m + 1)**2*(m + 9)
Let -14*g - 18 - 292*g**2 - 5*g**3 + 59*g + 145*g**2 + 149*g**2 = 0. What is g?
-3, 2/5, 3
Factor -82/5*y + 38/5*y**2 + 42/5 + 2/5*y**3.
2*(y - 1)**2*(y + 21)/5
Let v = -190 - 34. Let l = v + 227. Factor 1/5*y**l - 2/5*y + 0 + 1/5*y**2.
y*(y - 1)*(y + 2)/5
Let o be (-3)/2 - (-76)/8. Let -2*w + o*w**5 - 24*w**4 - 4*w - 2*w**2 - 62 + 64 + 22*w**3 = 0. What is w?
-1/2, 1/2, 1
Let i = 15/208 + 371/624. Let r(d) be the second derivative of -1/6*d**5 - 1/30*d**6 - 1/12*d**4 + 2/3*d**2 - 6*d + 0 + i*d**3. Solve r(q) = 0.
-2, -1/3, 1
Let b(o) be the first derivative of 162*o**5/35 - 9*o**4/28 - 4*o**3/3 - 2*o**2/7 + 85. Factor b(l).
l*(2*l - 1)*(9*l + 2)**2/7
What is y in 0 - 98*y + 14*y**2 - 1/2*y**3 = 0?
0, 14
Let a = 792 + -11879/15. Let y(w) be the second derivative of a*w**4 - 13/30*w**3 + 0 + 3/10*w**2 + w. Factor y(h).
(h - 3)*(4*h - 1)/5
Let i(p) = -3*p**4 + 27*p**3 + 7*p**2 + p. Let m(s) = -s**4 + 10*s**3 + 2*s**2. Let t(g) = 3*i(g) - 8*m(g). Factor t(q).
-q*(q - 3)*(q + 1)**2
Let o(v) be the first derivative of 2/5*v + 44/45*v**3 + 6 + 13/15*v**2 + 3/5*v**4 + 14/75*v**5 + 1/45*v**6. Factor o(l).
2*(l + 1)**4*(l + 3)/15
Let y = -3556 - -17792/5. Factor 4/5*b**4 + 0 - 4/5*b - 12/5*b**3 + y*b**2.
4*b*(b - 1)**3/5
Let r(b) = 9*b**3 + 48*b**2 - 15*b - 66. Let l(y) = y**3 + y**2 + y. Let o(p) = -12*l(p) + r(p). Factor o(i).
-3*(i - 11)*(i - 2)*(i + 1)
Let u(k) = 21*k**4 + 90*k**3 - 78*k**2 - 90*k + 84. Let m(d) = 3*d**4 + 13*d**3 - 11*d**2 - 13*d + 12. Let f(c) = -27*m(c) + 4*u(c). Factor f(a).
3*(a - 1)**2*(a + 1)*(a + 4)
Let t(o) = o**3 - 12*o**2 - 15*o + 6. Let c be t(13). Let k be (8/(-9))/(c/150). Factor 8/3 - k*h - 16*h**2.
-4*(3*h + 2)*(4*h - 1)/3
Let d(j) be the second derivative of -1/54*j**4 + 0 + 0*j**5 + 10*j + 0*j**2 - 1/378*j**7 + 1/135*j**6 + 1/54*j**3. Factor d(a).
-a*(a - 1)**3*(a + 1)/9
Let q = 807 + -807. Let u(b) be the third derivative of 1/120*b**6 + 1/24*b**4 + 5*b**2 + 1/30*b**