577/3 - -139199. What is l in 32/3*l**2 - 4 - c*l = 0?
-3/8, 1
Suppose 13 = l + 12. Let k be (-5 + 2 + l)/(-1). Factor 16 - 24*i - 36 + i**2 - 5*i**k.
-4*(i + 1)*(i + 5)
Let x(p) be the first derivative of 5*p**6/96 - 5*p**5/24 + 31*p**4/96 - p**3/4 - 7*p**2/2 - 5*p + 58. Let t(o) be the second derivative of x(o). Factor t(q).
(q - 1)*(5*q - 3)*(5*q - 2)/4
Let y(a) be the third derivative of 4/3*a**4 - 1/15*a**5 - 1/84*a**8 + 0*a - 8/3*a**3 + 2/21*a**7 - 7/30*a**6 + 71*a**2 + 0. Find n such that y(n) = 0.
-1, 1, 2
Let j = -606 - -609. Let x(d) = d**2 - 1. Let g(v) = -15*v**3 + 2 + 6*v**2 + 12*v**3 - 11. Let k(n) = j*x(n) + g(n). Find o such that k(o) = 0.
-1, 2
Let h(w) be the first derivative of w**7/840 - w**6/30 + 7*w**5/40 + 49*w**4/12 + w**3/3 + 20*w + 145. Let u(c) be the third derivative of h(c). Factor u(s).
(s - 7)**2*(s + 2)
Suppose -3*c = -5*o + 8 - 5, -c = -2*o + 2. Find b, given that 148*b - 50*b**2 + 13*b**3 - 116*b + 96 - 5*b**4 + 4*b**c = 0.
-1, 4, 6
Suppose -107 - 453*x - 329 + 3*x**2 - 482 = 0. Calculate x.
-2, 153
Let f = -1342 - -10745/8. Let t(q) be the first derivative of f*q**4 - 11 + 9*q - 4*q**3 - 15/4*q**2. Factor t(m).
3*(m - 3)*(m + 1)*(3*m - 2)/2
Let q = -2457 - -2459. Let y(n) be the first derivative of 0*n - q - 1/2*n**3 + 0*n**2 + 1/8*n**4. Factor y(l).
l**2*(l - 3)/2
Let c(h) be the first derivative of 0*h**5 + 0*h + 0*h**2 - 8/3*h**3 + 16 - 3*h**4 + 2/3*h**6. Factor c(b).
4*b**2*(b - 2)*(b + 1)**2
Let j(p) be the first derivative of -p**5/90 + p**4/18 - p**3/9 + 10*p**2 - 107. Let g(n) be the second derivative of j(n). Solve g(r) = 0 for r.
1
Suppose 630 = 12*z - 9*z. Suppose -3*k + 13*k - z = 0. Factor k - j**2 + 5*j**3 - 1 - 14*j**2.
5*(j - 2)**2*(j + 1)
Factor 381/7*c - 108/7*c**2 + 1170/7 - 3/7*c**3.
-3*(c - 5)*(c + 2)*(c + 39)/7
Solve 335*g**2 + 4*g**3 + 46310 - 43214 + 105*g**2 + 48*g**2 - 3588*g = 0 for g.
-129, 1, 6
Suppose 50/3*x**3 + 88/3*x**2 + 0*x + x**4 + 0 = 0. Calculate x.
-44/3, -2, 0
Let a(v) be the first derivative of -1/6*v**3 + 7/2*v**2 - 56 + 15/2*v. Determine s so that a(s) = 0.
-1, 15
Let j = -387 - -389. Let b(p) be the first derivative of 4/95*p**5 + 1/57*p**6 - 13 + 0*p**4 - 1/19*p**j - 4/57*p**3 + 0*p. Factor b(q).
2*q*(q - 1)*(q + 1)**3/19
Factor -44/5*s - 1/5*s**3 + 32/5 + 13/5*s**2.
-(s - 8)*(s - 4)*(s - 1)/5
Let c = 3230 - 3230. Let j(y) be the third derivative of c*y - 1/30*y**5 + 5/6*y**4 - 25/3*y**3 + 0 - 17*y**2. Determine l, given that j(l) = 0.
5
Let u = -9618 + 86602/9. Factor 16/9*r**2 + u*r + 2/9*r**3 + 32/9.
2*(r + 2)**2*(r + 4)/9
Let j(o) = -o**3 + 30*o**2 + 30*o + 21. Let i(w) be the third derivative of w**5/10 + w**4/4 + 2*w**3/3 - 90*w**2. Let n(g) = -11*i(g) + 2*j(g). Factor n(u).
-2*(u + 1)**3
Factor 632*c - 1/7*c**2 - 698992.
-(c - 2212)**2/7
Let v(q) be the second derivative of q**4/4 - 779*q**3/6 - 130*q**2 - 2240*q. Determine s so that v(s) = 0.
-1/3, 260
Suppose -18 = -3*l + 4*i, -3*i + 22 = 4*l + 23. Let -2/11*o**5 + 0 + 18/11*o**l + 2*o**4 + 0*o - 38/11*o**3 = 0. What is o?
0, 1, 9
Let r(u) be the second derivative of 3*u**5/40 - 133*u**3/4 + 99*u**2 - u + 169. What is l in r(l) = 0?
-12, 1, 11
Let h(c) be the first derivative of -4*c**3 - c**4 + 0*c - 2/3*c**6 + 4*c**2 + 12/5*c**5 - 108. Suppose h(d) = 0. Calculate d.
-1, 0, 1, 2
Let -171/8*v**2 + 27/8*v**4 - 3/4*v + 18 + 3/8*v**3 + 3/8*v**5 = 0. What is v?
-8, -3, -1, 1, 2
Solve 3/4*r**5 - 891/4 + 471/2*r**2 - 51/4*r**4 - 423/2*r**3 + 843/4*r = 0 for r.
-11, -1, 1, 27
Let d(a) be the second derivative of a**5/20 - a**4/4 - 8*a**3/3 + 24*a**2 + 2*a + 190. Let d(t) = 0. Calculate t.
-4, 3, 4
Let z be 92/(((-108)/15 - -7)*-5). Suppose -104 = -4*u - z. Factor 3/2*a**2 + 0 - 3/4*a + 21/4*a**u + 3*a**4.
3*a*(a + 1)**2*(4*a - 1)/4
Let d(s) be the second derivative of 4 + 54*s**2 - 8*s**3 + 1/3*s**4 - 22*s. Factor d(i).
4*(i - 9)*(i - 3)
Let 32/5*d**4 - 12/5*d**3 + 2/5*d**5 + 50*d - 96/5 - 176/5*d**2 = 0. Calculate d.
-16, -3, 1
Find g, given that 0*g**4 + 0*g + 3/7*g**3 - 3/7*g**5 + 0 + 0*g**2 = 0.
-1, 0, 1
Let 17/2*c + 1/3*c**5 - 6 - 1/2*c**4 - 11/2*c**3 + 59/6*c**2 = 0. What is c?
-4, -1, 1/2, 3
Let z(t) = -t**2 + 53*t - 700. Let v be z(27). Let f(p) be the first derivative of 11 + 13*p**3 + 12*p - 18*p**v + 3/5*p**5 - 9/2*p**4. Factor f(w).
3*(w - 2)**2*(w - 1)**2
Let l(t) be the first derivative of -t**6/14 - 72*t**5/35 - 27*t**4/4 + 5180. Factor l(i).
-3*i**3*(i + 3)*(i + 21)/7
Let q = -135 - -143. Determine i, given that 15*i + 7 - 25 - q*i**2 + 5*i**2 = 0.
2, 3
Let p(d) be the second derivative of d**5/20 - d**4/4 + d**2 + 33*d + 1. Let n(g) be the first derivative of p(g). Factor n(w).
3*w*(w - 2)
Let b(z) be the second derivative of 196/3*z**3 - 3*z + 14/3*z**4 + 1/10*z**5 + 0*z**2 - 9. Factor b(x).
2*x*(x + 14)**2
Suppose 10*h - 9*h + 4*p = 10, -22 = -4*h + 2*p. Suppose 5*o = 8*o - h. Factor 2/3*k**o + 5/3*k + 2/3.
(k + 2)*(2*k + 1)/3
Factor 267/5*j**3 - 819/5*j**2 - 276/5 + 165*j + 3/5*j**4.
3*(j - 1)**3*(j + 92)/5
Suppose 2*o**2 - 13/4*o - 1/4*o**3 + 3/2 = 0. Calculate o.
1, 6
Let p - 5*p**3 + 2*p - 1373 + 2678*p**2 - 547 + 2*p - 758*p**2 = 0. Calculate p.
-1, 1, 384
Let f(u) be the first derivative of -u**5/5 - 53*u**4/4 - 953*u**3/3 - 6103*u**2/2 - 5202*u - 3875. Factor f(j).
-(j + 1)*(j + 17)**2*(j + 18)
Let k(b) be the third derivative of b**8/47040 - 11*b**7/11760 + 49*b**5/15 - 32*b**2. Let s(f) be the third derivative of k(f). Find h such that s(h) = 0.
0, 11
Let x(l) = -2*l**3 - 38*l**2 + 8. Let q(v) be the second derivative of v**5/20 + 25*v**4/12 - 5*v**2/2 - 25*v. Let b(o) = 8*q(o) + 5*x(o). Factor b(y).
-2*y**2*(y - 5)
Let s = -284 - 74. Let h = s - -360. Find z, given that -2/7*z + 4/21 + 2/21*z**h = 0.
1, 2
Suppose 3680/7*y + 178/7*y**4 - 3678/7*y**3 - 2/7*y**5 + 12696/7 - 12874/7*y**2 = 0. Calculate y.
-3, -1, 1, 46
Suppose 306*y + 70*y = -4136. Let b(i) = 10*i**2 + 19*i + 11. Let c(t) = 2*t**2 - t + 3 - 1 + 5*t. Let k(u) = y*c(u) + 2*b(u). Find z, given that k(z) = 0.
-3, 0
Suppose 0 = p + 2*l - 24, -14 = -p + 895*l - 896*l. Factor -2/13*h**5 + 42/13*h**p + 110/13*h**2 - 114/13*h**3 - 36/13*h + 0.
-2*h*(h - 18)*(h - 1)**3/13
Let o(j) be the first derivative of -3/8*j**6 + 284 - 13/16*j**4 - 21/10*j**5 + 7*j**3 - 9/2*j**2 + 0*j. Factor o(k).
-k*(k + 3)**2*(3*k - 2)**2/4
Suppose 192*o = 175*o. Let d(b) be the third derivative of -4*b**2 + 0*b**4 + 3/245*b**7 + 0*b**5 + 0*b**3 - 1/210*b**6 - 3/392*b**8 + 0 + o*b. Factor d(s).
-2*s**3*(3*s - 2)*(3*s - 1)/7
Factor 1/2*a**2 + 508*a + 129032.
(a + 508)**2/2
Suppose -11*z + 5*z - a = -4*z, 12*z = a. Let t(r) be the first derivative of 1/42*r**6 - 1/14*r**4 + z*r**3 + 35 + 0*r + 1/35*r**5 + 0*r**2. Factor t(l).
l**3*(l - 1)*(l + 2)/7
Let q(m) = m**3 + 224*m**2 + 4*m + 6. Let d(f) = -f**2 + 2*f + 3. Let t(g) = 10*d(g) - 5*q(g). Factor t(a).
-5*a**2*(a + 226)
Let z(k) be the third derivative of k**6/360 - 17*k**5/180 + 19*k**4/18 - 10*k**3/3 - 307*k**2. Factor z(c).
(c - 10)*(c - 6)*(c - 1)/3
Let l = -8926 - -8929. Let v(q) be the first derivative of -34/45*q**5 + 200/9*q + 1/27*q**6 + 24 + 482/27*q**l + 43/18*q**4 + 280/9*q**2. Factor v(u).
2*(u - 10)**2*(u + 1)**3/9
Let a(w) be the second derivative of -w**4/28 + 5*w**3/7 - 24*w**2/7 + w + 720. Suppose a(o) = 0. Calculate o.
2, 8
Let l(o) be the third derivative of o**7/1400 - o**6/75 + 3*o**3/2 - 7*o**2 + 4. Let i(b) be the first derivative of l(b). Let i(h) = 0. What is h?
0, 8
Let l(q) be the first derivative of q**6/720 - q**5/360 - q**4/72 + 9*q**2/2 - 2*q - 2. Let a(z) be the second derivative of l(z). Find d, given that a(d) = 0.
-1, 0, 2
Let m be (4 + -1 + -382)*5. Let n = -1895 - m. Solve 0 + 0*g + 0*g**2 - 9/2*g**5 + 3/2*g**4 + n*g**3 = 0.
0, 1/3
Let i(l) be the third derivative of -l**8/112 - 8*l**7/35 - 8*l**6/5 - 53*l**5/10 - 79*l**4/8 - 11*l**3 + 335*l**2. Factor i(p).
-3*(p + 1)**3*(p + 2)*(p + 11)
Let n(h) be the second derivative of h**4/84 - 556*h**3/21 + 154568*h**2/7 + h + 3616. Solve n(c) = 0.
556
Let i be 60/14 + (-102)/357. Let y(x) be the second derivative of 17*x - x**3 - i*x**2 + 1/6*x**4 + 0. Factor y(s).
2*(s - 4)*(s + 1)
Factor -40/3*g - 43/3*g**2 - 1/3*g**3 + 28.
-(g - 1)*(g + 2)*(g + 42)/3
Factor 2/9*j**3 - 220/9*j**2 + 6466/9*j - 22472/9.
2*(j - 53)**2*(j -