 Determine g, given that -12*g - 13 - 7 - b*g**2 + 2 = 0.
-3
Factor 477*o**3 - 80*o**2 - 2 + 2 - 473*o**3 - 84*o.
4*o*(o - 21)*(o + 1)
Suppose 4*v**3 + 131 + 80*v - 334 - 32*v**2 + 139 = 0. Calculate v.
2, 4
Let p(u) be the third derivative of u**6/24 - 3*u**5/2 - 65*u**4/8 - 50*u**3/3 + 170*u**2. Determine d, given that p(d) = 0.
-1, 20
Let s(f) be the third derivative of -f**5/12 - 25*f**4/12 - 15*f**3/2 + 465*f**2. Factor s(j).
-5*(j + 1)*(j + 9)
Let h(k) be the third derivative of k**7/42 + k**6/24 - 5*k**2 - 2*k. Factor h(a).
5*a**3*(a + 1)
What is m in 152*m - 47*m**4 + 29*m**4 + 20*m**4 - 112 - 4*m**3 - 60*m**2 + 6*m**3 = 0?
-7, 2
Factor -3/7*g**5 - 99/7*g**3 + 30/7*g**4 - 48/7*g + 0 + 120/7*g**2.
-3*g*(g - 4)**2*(g - 1)**2/7
Suppose 3*c + 0*q - 10 = 2*q, -12 = -c + 5*q. Let u = 1/76 + 149/228. Solve 4/9 + 2/9*g**c + u*g = 0.
-2, -1
Let b(m) = -16*m**3 - 16*m**2 - 20*m + 28. Let i(n) = n**3 - 3. Let k(q) = -b(q) - 12*i(q). What is c in k(c) = 0?
-2, -1
Let l(c) = -1700*c + 6800. Let x be l(4). Factor 3/5*o**4 + 0 + 1/5*o**5 + x*o + 0*o**2 + 2/5*o**3.
o**3*(o + 1)*(o + 2)/5
What is j in 23*j + 3*j**2 - 44 + 40*j + 18 + 2*j**2 = 0?
-13, 2/5
Determine t so that 70/3*t**3 - 245/3 - 70/3*t + 80*t**2 + 5/3*t**4 = 0.
-7, -1, 1
Solve -8/13 - 224/13*n - 1450/13*n**2 + 1682/13*n**3 = 0 for n.
-2/29, 1
Factor -8 - 168*h - 20 + 20*h**2 + 113 - 21.
4*(h - 8)*(5*h - 2)
Factor 915/2*j**2 + 20700*j + 5/2*j**3 - 21160.
5*(j - 1)*(j + 92)**2/2
Let j(s) be the second derivative of -s**6/120 - s**5/20 - 5*s**4/48 - s**3/12 + s. Suppose j(k) = 0. Calculate k.
-2, -1, 0
Let t(l) be the first derivative of -l**5/40 - 25*l**4/8 - 1199*l**3/12 + 1275*l**2/4 - 2601*l/8 - 482. Factor t(c).
-(c - 1)**2*(c + 51)**2/8
Let p be 2/(-68)*(15 - 27). Let w(x) be the first derivative of 2/17*x**2 + p*x - 2/51*x**3 + 6. Factor w(f).
-2*(f - 3)*(f + 1)/17
Suppose 71 - 17 = 19*c - 22. Let l = 4/5 - 3/5. Factor 3/5*u**2 - 1/5*u**3 - 2/5 + 1/5*u - l*u**c.
-(u - 1)**2*(u + 1)*(u + 2)/5
Let w(q) = -3*q**4 + 2*q**2 + 1. Let j(y) be the second derivative of -y**6/30 + y**2/2 - 7*y. Let x(u) = -10*j(u) + 5*w(u). Factor x(t).
-5*(t - 1)**2*(t + 1)**2
Suppose -6*h + 43*h = 74. Let b(j) be the first derivative of 3/2*j + 1/8*j**3 + 5 - 3/4*j**h. Factor b(i).
3*(i - 2)**2/8
Let m(k) be the first derivative of -k**7/560 + k**6/80 + k**5/80 - 3*k**4/16 + 4*k**3/3 - 22. Let i(r) be the third derivative of m(r). Factor i(s).
-3*(s - 3)*(s - 1)*(s + 1)/2
Let t(q) be the second derivative of 11*q**4/4 - 35*q**3 + 36*q**2 + 88*q - 1. Factor t(c).
3*(c - 6)*(11*c - 4)
Let c(l) be the second derivative of -l**7/1680 + l**5/80 - l**4/24 - 3*l**3/2 + 14*l. Let k(v) be the second derivative of c(v). Determine q so that k(q) = 0.
-2, 1
Suppose 4*f = 3*f - 7. Let d(v) = -v**3 - 8*v**2 - 8*v - 5. Let o be d(f). Determine r so that 4*r**5 + 3*r**3 + o*r**3 + 9*r**4 + r**3 + r**2 = 0.
-1, -1/4, 0
Let x(m) be the first derivative of -m**6/2340 - m**5/195 - 8*m**3 - 32. Let i(g) be the third derivative of x(g). Factor i(t).
-2*t*(t + 4)/13
Factor 109/6*b + 1/6*b**2 + 18.
(b + 1)*(b + 108)/6
Let m be ((-88)/2002 + (-16)/28)*-1. Factor 6/13*i + m*i**2 - 2/13*i**3 - 36/13.
-2*(i - 3)**2*(i + 2)/13
Let z(b) be the second derivative of -b**6/180 - b**5/120 + b**4/72 + b**3/36 + 53*b. Factor z(l).
-l*(l - 1)*(l + 1)**2/6
Suppose -562*f = -183*f. Solve f - 5*d - 45/2*d**2 = 0.
-2/9, 0
Let n = 621/2 + -1601/14. Let b = 197 - n. Factor 0 + b*k**2 - 3/7*k**3 + 0*k.
-3*k**2*(k - 2)/7
Suppose -3*q + 3*z + 18 = -0*z, 0 = q + 5*z. Suppose -q*g = -14*g + 45. Solve 0 + 0*u**2 - 4/7*u**3 + 2/7*u**4 + 0*u + 2/7*u**g = 0.
-2, 0, 1
Let d(o) be the first derivative of 0*o + 0*o**2 + 1/4*o**6 + 21/16*o**4 - 21/20*o**5 - 1/2*o**3 + 4. Solve d(q) = 0.
0, 1/2, 1, 2
Factor 3/2*y**2 + 0 + 3/2*y.
3*y*(y + 1)/2
Let n = -1026 + 1026. Factor -2/19*a**5 + n*a + 0*a**4 + 0 + 6/19*a**3 + 4/19*a**2.
-2*a**2*(a - 2)*(a + 1)**2/19
Let b be -4*8/176 - (-3480)/22. Suppose -b = j - 160. Factor 8/3*p**2 + 2/3*p**3 + 0 + j*p.
2*p*(p + 1)*(p + 3)/3
Let u(m) = -m + 1. Let d(k) = k**2 - 12*k + 6. Let c(s) = d(s) - 6*u(s). Factor c(v).
v*(v - 6)
Let b(m) be the first derivative of m**6/21 + 18*m**5/35 + 4*m**4/7 + 431. Factor b(t).
2*t**3*(t + 1)*(t + 8)/7
Let t(h) be the second derivative of 3*h**5/20 - 7*h**4/2 + 45*h**3/2 - 839*h. Suppose t(z) = 0. What is z?
0, 5, 9
Suppose v = -2*v - 12, -2*m + 3*v + 20 = 0. Factor m*p**4 + 1705*p**2 - 1660*p**2 + p**4 - 30*p**3.
5*p**2*(p - 3)**2
Let a be ((-32)/(-12))/(-4)*-3. Find f such that -f**3 - 29*f**2 - 2*f**3 - 24*f**2 + 3*f + 47*f**a + 6 = 0.
-2, -1, 1
Suppose -3*z - 1 = u + 4*u, 0 = 5*z + 2*u - 11. Factor -3*x**2 - x**z + 15*x - 17*x + 0*x**3.
-x*(x + 1)*(x + 2)
Suppose 2*h + 16 = 4*h. Let l be ((-8)/(-6))/(h/6). Let p(r) = 3*r**2 + 18*r - 6. Let a(z) = z**2 - z - 1. Let n(t) = l*p(t) + 3*a(t). Factor n(o).
3*(o + 3)*(2*o - 1)
Let l(c) be the second derivative of -20/21*c**3 + 22/7*c**2 - 54*c - 1/21*c**4 + 0. Factor l(r).
-4*(r - 1)*(r + 11)/7
Factor 6 - 5*l + 0*l + 3*l + 3*l**2 - 7*l.
3*(l - 2)*(l - 1)
Suppose 19 + 5 = 8*r. Factor -r*p**2 + 78 - 78 + 3*p.
-3*p*(p - 1)
Factor 113 - 82*q + q**2 + 3*q**2 - q**2 - 17 - 17*q.
3*(q - 32)*(q - 1)
Factor 0 + 12*a + 1/3*a**2.
a*(a + 36)/3
Let q(o) = -o. Let n = -2 + 6. Let u(c) = n*c**2 - 2*c**2 + 17*c + 0*c. Let y(p) = -22*q(p) - 2*u(p). What is j in y(j) = 0?
-3, 0
Suppose -169*g + 9 = -166*g. Factor -224*u + 3*u**g - 24 + 0*u**3 + 260*u - 18*u**2.
3*(u - 2)**3
Suppose 2*g + 2 = 8. Find k, given that -102*k + 3*k**3 - 20*k**3 - 44*k**2 - 36*k**2 + g*k**3 + 36 = 0.
-3, 2/7
Factor -1/10*m**2 - 3*m - 29/10.
-(m + 1)*(m + 29)/10
Let j = 1943 - 1941. Find g such that 4/5 + 2/5*g**j + 6/5*g = 0.
-2, -1
Let c(p) be the first derivative of 2*p**5/5 + 6*p**4 + 18*p**3 - 17. Suppose c(z) = 0. What is z?
-9, -3, 0
Let w(v) be the third derivative of v**5/180 + 29*v**4/72 - 92*v**2 - v. Factor w(q).
q*(q + 29)/3
Suppose 4/5*m - 2/5*m**2 + 0 - 2/5*m**3 = 0. What is m?
-2, 0, 1
Factor -1300*n**2 + 2596*n**2 + 64*n - 1294*n**2.
2*n*(n + 32)
Find n, given that 8/3*n - 2/9*n**4 + 4/3*n**3 - 26/9*n**2 - 8/9 = 0.
1, 2
Let a(s) = -26*s**2 + 6*s + 3. Let i(d) = -5 - 3 - 2*d + 4 - 3. Let u be i(5). Let p(x) = -9*x**2 + 2*x + 1. Let q(m) = u*p(m) + 6*a(m). Factor q(h).
-(h - 1)*(3*h + 1)
Determine g, given that -64*g**2 - 3/4*g**4 + 147/4 + 175/2*g + 25/2*g**3 = 0.
-1/3, 3, 7
Let y = 741 - -589. Let h = y + -9262/7. Factor 2/7*c**4 + h*c + 44/7*c**2 + 16/7*c**3 + 18/7.
2*(c + 1)**2*(c + 3)**2/7
Let f = 51858 + -414863/8. Factor -7/8*o - f*o**2 + 1.
-(o - 1)*(o + 8)/8
Let p(k) be the first derivative of k**8/336 - k**6/60 + k**4/24 - 55*k**2/2 + 7. Let d(r) be the second derivative of p(r). Determine b, given that d(b) = 0.
-1, 0, 1
Let o(l) be the second derivative of -l**4/8 - 7*l**3/4 - 9*l**2 - 2*l - 38. Find n such that o(n) = 0.
-4, -3
Suppose 11*b + 36 = 58. Let a be (10/(-5) - -7)/(5/b). Factor 3 + 21/2*u + 9/2*u**a.
3*(u + 2)*(3*u + 1)/2
Let u be (1 - (-8)/6) + (-27 - (-1440)/54). Let f be 0 + 2 + (0 - 2). Factor f*p**u + 0 - 3/5*p + 3/5*p**3.
3*p*(p - 1)*(p + 1)/5
Suppose 4*o - 14 = -3*g + 21, 0 = -2*o - 3*g + 25. Factor 1 - 15*z**2 - 2*z**3 + o*z**4 - 4 - 4*z + 5 + 2.
(z - 2)*(z + 1)**2*(5*z - 2)
Suppose c + 18 = -2*c. Let n be 247 + c/((-8)/(-4)). Suppose 244*s - 2*s**5 - n*s + 2*s**4 = 0. Calculate s.
0, 1
Let j(i) be the third derivative of -i**5/300 + i**4/60 - i**3/30 + 12*i**2. Determine h, given that j(h) = 0.
1
Let r(p) be the third derivative of 8*p**8/147 - 272*p**7/735 - 51*p**6/35 - 347*p**5/210 - 11*p**4/12 - 2*p**3/7 - 13*p**2 + 2. What is k in r(k) = 0?
-1, -1/4, 6
Suppose 72/7*d**2 + 0*d - 8/7*d**5 + 0 + 298/7*d**3 + 38/7*d**4 = 0. What is d?
-4, -1/4, 0, 9
Let r(c) = -c**3 + c**2 - c - 1. Let u be 1/((-1)/3) - -2. Let z be r(u). Factor a**2 + 1 + 0*a**3 + a - z - a**3.
-(a - 1)**2*(a + 1)
Let i(j) be the third derivative of -5*j**8/336 + 3*j**7/14 + j**6/24 - 61*j**5/12 - 35*j**4/2 - 80*j**3/3 - 145*j**2 - 2. Factor i(x).
-5*(x - 8)*(x - 4)*(x + 1)**3
Let c(z) be the second derivative of -z**6/75 - 4*z**5/25 - 2*z**4/5 - z - 253. Factor c(i).
-2*i**2*(i + 2)*(i + 6)/5
Let f(x) = 22*x**2 - 1380*x + 31740. Let o(d) = 7*d**2 - 460*d + 10580. Let y