 118*x**3 - 108 + 81*x**2 + 36*x**4 + 108*x - 2*x**5 - 9*x**r - 2*x**5.
-4*(x - 3)**3*(x - 1)*(x + 1)
Suppose 0 = 3*x - 107 + 98. Let i(p) be the first derivative of 1/5*p**2 + 2/15*p**x + 0*p + 6. Factor i(m).
2*m*(m + 1)/5
Let n(p) be the first derivative of p**4/10 - 8*p**3/15 + 4*p**2/5 + 144. Factor n(d).
2*d*(d - 2)**2/5
Let f be (-3)/((1 - -1)*(-8)/48). Factor -18 + 12 - 3*j**2 + 0 + f*j.
-3*(j - 2)*(j - 1)
Factor -2*z - 2/13*z**3 + 0 + 28/13*z**2.
-2*z*(z - 13)*(z - 1)/13
Let b be (2*6/(-9))/(52/(-36)). Let n = b + -106/143. Find p, given that 0 - 4/11*p**3 - n*p**4 - 2/11*p**2 + 0*p = 0.
-1, 0
Let w(l) be the second derivative of -1/12*l**3 + 1/40*l**5 + 0*l**2 + 0 + 1/48*l**4 - 1/120*l**6 - 7*l. Factor w(r).
-r*(r - 2)*(r - 1)*(r + 1)/4
Suppose 0 = 2*y - 1 + 11. Let q be (-4 - y)*(14 - -2). Factor q + 3*c**2 - 6*c - 6*c - 4.
3*(c - 2)**2
Let q(z) = -z. Let u(m) = -10*m**2 - 3*m. Let i(h) = 4*q(h) - u(h). Factor i(v).
v*(10*v - 1)
Let j(r) be the second derivative of r**7/21 + r**6/3 + 4*r**5/5 + 2*r**4/3 - r + 90. Factor j(l).
2*l**2*(l + 1)*(l + 2)**2
Determine x, given that 17/4*x**2 - 15 - 1/8*x**4 - 13/8*x**3 + 13/2*x = 0.
-15, -2, 2
Let m(r) be the second derivative of r**9/15120 + r**8/6720 - r**7/2520 - r**6/720 - 5*r**4/12 + 6*r. Let u(n) be the third derivative of m(n). Factor u(l).
l*(l - 1)*(l + 1)**2
Let f(k) be the first derivative of -k**6/600 + k**5/100 + 15*k**2/2 - 29. Let o(g) be the second derivative of f(g). Factor o(a).
-a**2*(a - 3)/5
Let a(j) be the second derivative of -3*j**5/5 + 53*j**4/3 + 40*j**3/3 - 72*j**2 + j + 142. Factor a(x).
-4*(x - 18)*(x + 1)*(3*x - 2)
Suppose -77 + 53 = 6*v. Let h be v/7 - (-32)/56. Factor 2/7*y**5 + 0*y + h - 2/7*y**3 + 0*y**2 + 0*y**4.
2*y**3*(y - 1)*(y + 1)/7
Let m(n) be the second derivative of 0*n**2 - 3/5*n**5 + 0 + 0*n**4 - 2/15*n**6 + 8/3*n**3 - 5*n. Find f such that m(f) = 0.
-2, 0, 1
Suppose -161 = j + 2*p + 22, 5*p = j + 204. Let d be j/1176 - 4/(-14). Determine k, given that d*k**2 + 1/2 + 1/2*k = 0.
-2
Let m be ((-19)/(-2505))/((-2)/(-1161)). Let t = m - 1/334. Factor 18/5*v + t*v**3 + 4/5 + 6*v**2 + 6/5*v**4.
2*(v + 1)**3*(3*v + 2)/5
Let u = 839 - 837. Let q(m) be the first derivative of 0*m**u + 0*m + 1/2*m**4 + 0*m**5 + 0*m**3 - 1/3*m**6 + 4. Factor q(p).
-2*p**3*(p - 1)*(p + 1)
Let u(i) = i**3 + 5*i**2 - 7*i - 4. Let r be u(-6). Let b be -3 + 1 - r*-2. Factor 3*v + 3*v**3 + 0*v**3 - b*v - 4*v.
3*v*(v - 1)*(v + 1)
Find h such that -16/3*h + 46/3*h**2 + 10/3*h**4 + 2/3*h**5 + 0 - 14*h**3 = 0.
-8, 0, 1
Let y(o) = -2*o - 4. Let u be y(-2). Factor -4*f**2 - 3 + 3 + 4*f + u.
-4*f*(f - 1)
Let k(s) be the first derivative of -s**4/6 - 28*s**3/9 - 97. Factor k(b).
-2*b**2*(b + 14)/3
Let n(o) = 25*o**3 + 5*o**2 - 60*o - 80. Let g(k) = -k**3 - k**2 - k + 1. Let y(v) = 20*g(v) + n(v). Suppose y(i) = 0. Calculate i.
-2, -1, 6
Determine v so that -2/21*v**2 - 100/7*v - 3750/7 = 0.
-75
Suppose 826*m = 620*m + 412. Let 1/2*s**3 + 0 + 0*s - 1/2*s**5 - 1/3*s**4 + 1/3*s**m = 0. What is s?
-1, -2/3, 0, 1
Determine i so that -57*i**2 + 96*i**2 + 24*i**3 - 126*i - 27*i**3 = 0.
0, 6, 7
Let m be (-14 - 275/(-22))*(9/21 + -3). Let 60/7*z**2 - 18/7*z**3 - m*z**4 - 24/7*z + 0 = 0. What is z?
-2, 0, 2/3
Let u(g) = -3*g**4 - 126*g**3 + 849*g**2. Let f(n) = -40*n**4 - 1765*n**3 + 11885*n**2. Let w(d) = 4*f(d) - 55*u(d). Factor w(c).
5*c**2*(c - 13)**2
Let w be 53/53 + (-1)/(-2). Let k = 3 - 1. Let -3/2*m**4 - 3/4*m**5 + 3/4*m**3 + w*m**k + 0*m + 0 = 0. Calculate m.
-2, -1, 0, 1
Let x(h) be the first derivative of 1/24*h**4 + 1/3*h**3 - 32 + h + 11/12*h**2. Factor x(i).
(i + 1)*(i + 2)*(i + 3)/6
Let x(m) be the second derivative of m**7/1400 - 7*m**6/1800 + m**5/300 + 13*m**3/6 + m. Let t(f) be the second derivative of x(f). Factor t(y).
y*(y - 2)*(3*y - 1)/5
Let h(z) be the third derivative of 4/3*z**3 + 17*z**2 - 1/15*z**5 + 0*z - 1/6*z**4 + 0. Factor h(c).
-4*(c - 1)*(c + 2)
Let b be 2670/178 + 7/(-1). Let d(c) be the first derivative of 2/5*c**5 - 2/3*c**3 - 1/3*c**6 + 1/2*c**4 + 0*c**2 + 0*c - b. Find f, given that d(f) = 0.
-1, 0, 1
Determine k so that -51/2*k + 27/2 - 3*k**2 = 0.
-9, 1/2
Let f = -140732/9 + 15638. Let 20/9 + 46/9*i - f*i**2 = 0. What is i?
-2/5, 5
Suppose -5*b + 4*o = 5*o + 20, 0 = b - o + 4. Let p be (-3 + 1)/(b*(-4)/(-16)). Factor p*w + 8/5*w**3 + 22/5*w**2 - 4/5.
2*(w + 1)*(w + 2)*(4*w - 1)/5
Let p be (-3)/(-6) + (-3)/6. Let x = p + 2. Suppose -3 + 4*f - f**4 + x - 13*f**2 - 6*f**3 - 3 - 16*f = 0. Calculate f.
-2, -1
Suppose -5/3*g**3 + 5/3*g + 0 + 1/3*g**2 - 1/3*g**4 = 0. What is g?
-5, -1, 0, 1
Let v be (18/15)/(576/320). Factor b**3 + 0 + v*b**2 + 1/3*b**4 + 0*b.
b**2*(b + 1)*(b + 2)/3
Suppose -3*f - 2*w + 14 = 0, 5*f + w + 5 - 26 = 0. Factor 23 + g**2 + 11*g - f*g**2 - 8 + g.
-3*(g - 5)*(g + 1)
Let n(m) be the third derivative of m**5/150 + m**4/20 - 4*m**3/15 - 39*m**2. Determine b, given that n(b) = 0.
-4, 1
Determine n so that -66/5*n**2 + 2/5*n**4 + 0 - 6/5*n**3 + 14*n = 0.
-5, 0, 1, 7
Let s = 11342/33 + -1030/3. Find d such that -2/11*d + 6/11*d**2 - s = 0.
-2/3, 1
Let y be (-13)/9 + 1 + 35000/7875. Let t = 45 - 131/3. Factor 0 - t*k**2 + 4/3*k**y - 4/3*k**3 + 4/3*k.
4*k*(k - 1)**2*(k + 1)/3
Solve -y**3 + 0 + 1/2*y**4 + 0*y + 1/2*y**2 = 0 for y.
0, 1
Let g be -1 - (56/84)/((-4)/18). Let -105/4*i**3 - 3/2*i + 0 - 51/4*i**g = 0. What is i?
-2/7, -1/5, 0
Let u(m) be the second derivative of 11*m**4/12 - 139*m**3/6 + 162*m**2 - 27*m. Let i(v) = -6*v**2 + 70*v - 162. Let z(t) = 10*i(t) + 4*u(t). Factor z(w).
-4*(2*w - 9)**2
Factor -1/4*w - 1/8*w**2 + 0.
-w*(w + 2)/8
Let 11563*z - 48 + 2*z**3 - 11543*z - 4*z**3 + 6*z**2 = 0. What is z?
-3, 2, 4
Let n = 1611/1414 + 5/1414. Solve -n + 200/7*l - 1250/7*l**2 = 0 for l.
2/25
Let g(i) be the second derivative of -2*i**6/15 - 24*i**5/5 - 166*i**4/3 - 176*i**3 - 242*i**2 + 49*i. Factor g(o).
-4*(o + 1)**2*(o + 11)**2
Let y(h) = 16*h**2 + 2*h. Let m be y(0). Let q(a) be the first derivative of 3/4*a**4 + 3/10*a**5 + 3 + m*a**3 - 3/2*a**2 - 3/2*a. Factor q(j).
3*(j - 1)*(j + 1)**3/2
Let l(u) be the third derivative of -u**7/252 - u**6/36 - 5*u**5/72 - 5*u**4/72 + 40*u**2 + 5. Solve l(y) = 0.
-2, -1, 0
Let y(o) be the first derivative of -o**6/18 + o**4/6 - o**2/6 + 656. Suppose y(c) = 0. What is c?
-1, 0, 1
Let y be 47/77 + (-26)/((-3094)/(-51)). Let v be 4*(3/2)/3. Factor -y*z + 4/11 - 2/11*z**v.
-2*(z - 1)*(z + 2)/11
Let d = -30 - -29. Let z be d/15 - (-10)/15. Factor 4/5*r**3 + 0 + z*r**2 - 1/5*r.
r*(r + 1)*(4*r - 1)/5
Suppose 264 + 446 = 130*c + 190. Factor -63/8*n**c - 15/4*n**3 - 3/8 + 9/8*n - 27/8*n**5 + 9/4*n**2.
-3*(n + 1)**3*(3*n - 1)**2/8
Let h = 4 - 1. Suppose -h*a + a + 72 = 0. Factor 0*o + 3*o - 14*o**4 + 62*o**4 - a*o**3.
3*o*(2*o - 1)**2*(4*o + 1)
Let b(u) = 2*u**3 + 3*u. Let n(f) = -2*f**3 - 2*f. Let c(o) = o**2 - 9*o + 6. Let k be c(9). Let d(a) = k*n(a) + 4*b(a). Determine t so that d(t) = 0.
0
Let x(z) be the first derivative of 5*z**3/6 - 17*z**2/4 + 7*z + 77. Factor x(i).
(i - 2)*(5*i - 7)/2
Let d be 236/132 + (42/(-9) - -4). Let v = d - 5/11. Factor 8/9*n**2 - 8/9*n + 0 + v*n**3.
2*n*(n + 2)*(3*n - 2)/9
Let y be (7 - 1)*(-1 - 1). Let t be (-51)/(-108) + 3/y + 0. Factor t*q + 0 + 8/9*q**2.
2*q*(4*q + 1)/9
Let m(q) = q**2 + 15*q + 38. Let s be m(-12). Suppose -3*x + 3*r + 15 = -s*x, -3*r = 3*x + 3. Let -8/5 + 0*h + 2/5*h**x + 6/5*h**2 = 0. Calculate h.
-2, 1
Let t be -3*((-605)/60 + 10). Suppose -t - 1/8*c + 1/8*c**2 = 0. What is c?
-1, 2
Let b(m) be the first derivative of m**4/24 + 34*m**3/9 - 139*m**2/12 + 35*m/3 + 382. Factor b(x).
(x - 1)**2*(x + 70)/6
Let n be (-105)/162 - (-10)/15. Let s(w) be the second derivative of 0*w**2 - n*w**4 - 1/90*w**5 + 0 + 0*w**3 - w. Factor s(b).
-2*b**2*(b + 1)/9
Let b = 551 + -1343. Let h be 2/4 - b/16. Factor 24*u - 3*u**2 + 14 - u**2 - h.
-4*(u - 3)**2
Let b(x) be the first derivative of -5*x**3/3 - 105*x**2/2 + 230*x + 341. Solve b(t) = 0.
-23, 2
Let x = 3 + -7. Let v = x - -12. Factor -v + 7 - 15*k + 7 + 9*k**2.
3*(k - 1)*(3*k - 2)
Let u = -58 + 61. Find g, given that 4 - 24*g**4 + 55*g**u - 30*g**3 + 18*g - 10*g**5 + 20*g**2 - 33*g**3 = 0.
-1, -2/5, 1
Suppose 4*f = -2*l - 2, -32*f + 3*l = -37*f - 5. Factor 2/9*w**f - 2/9*w**3 + 0 + 0*w.
-2*w**2*(w - 1)/9
