(q).
2*(q + 2)*(q + 14)/15
Let l(y) = y**3 - 23*y**2 - 26*y + 50. Let b be l(24). Factor 3/2*z**b + 3*z + 3/2.
3*(z + 1)**2/2
Let m(p) be the first derivative of p**4/4 - 43*p**3/12 - 11*p**2/8 + 24. Let m(z) = 0. Calculate z.
-1/4, 0, 11
Suppose -13 = 5*s + 2*b - 41, -b - 1 = 0. Factor s*p**2 + 8*p - 22 + 0*p**3 - 8*p**3 + 16.
-2*(p - 1)*(p + 1)*(4*p - 3)
Let k(h) = -h**2 - 10*h + 11. Let w be k(-9). Factor -w*r**3 + 4*r**2 - 6 + 20*r - 2 + 8 - 4*r**4.
-4*r*(r - 1)*(r + 1)*(r + 5)
Let r(c) be the first derivative of c**6/27 + 2*c**5/9 - c**4/9 - 56*c**3/27 - 8*c**2/9 + 64*c/9 - 419. Determine g so that r(g) = 0.
-4, -2, 1, 2
Let g(s) = 35*s**2 + 1776*s + 699. Let o(w) = -88*w**2 - 4440*w - 1748. Let t(z) = 12*g(z) + 5*o(z). Factor t(l).
-4*(l + 44)*(5*l + 2)
Let u(p) be the first derivative of 7/3*p**4 + 4 + 0*p**2 - 4/3*p**3 - 6*p. Let b(a) be the first derivative of u(a). Factor b(n).
4*n*(7*n - 2)
Let w = -6 + 9. Factor -3 - p**2 + p**2 - 8*p**2 - 3*p**w - p**2 - 9*p.
-3*(p + 1)**3
Let f(b) = b + 1. Let j(c) = c**2 - 15*c + 9. Suppose -5*a = -9*a + 84. Let h(m) = a*f(m) + 3*j(m). Let h(z) = 0. What is z?
4
Let k(i) = -35*i**4 - 208*i**3 - 280*i**2 - 43*i - 5. Let v(l) = -17*l**4 - 104*l**3 - 140*l**2 - 21*l - 3. Let m(u) = 3*k(u) - 5*v(u). Factor m(a).
-4*a*(a + 2)*(a + 3)*(5*a + 1)
Let j(y) = -6*y**2 + 4*y + 110. Let c(v) = 20*v**2 - 15*v - 329. Let l(w) = 4*c(w) + 14*j(w). Solve l(z) = 0 for z.
-8, 7
Let a(g) = 5*g**3 + 119*g**2 - 128*g - 236. Let d(m) = -6*m**3 - 120*m**2 + 129*m + 234. Let t(j) = -3*a(j) - 2*d(j). Factor t(q).
-3*(q - 2)*(q + 1)*(q + 40)
Let h be 4/((-6)/10*(-15)/18). Suppose 4*v + 3*t - h = -0*v, -2*v + 4 = t. Factor -1/3*r**3 + 0*r**4 + 1/3*r**5 + 0 + 0*r**v + 0*r.
r**3*(r - 1)*(r + 1)/3
Let y(o) be the third derivative of 2*o**7/105 + 4*o**6/15 + 6*o**5/5 + 8*o**4/3 + 10*o**3/3 - 73*o**2. Factor y(u).
4*(u + 1)**3*(u + 5)
Find m such that 0 - 18/5*m - 3/5*m**2 = 0.
-6, 0
Let j(q) = -10*q**3 - 4*q**2 + 7*q + 73. Let w(r) = r**3 + r - 1. Let x(p) = 2*j(p) + 18*w(p). Solve x(g) = 0 for g.
-4, 4
Let i = 2/1827 + 1819/7308. Factor i*l**4 + 1/2 - 7/4*l + 9/4*l**2 - 5/4*l**3.
(l - 2)*(l - 1)**3/4
Suppose -3*x - 2 + 10 = -4*v, 0 = -4*x - v + 17. Let m(o) be the second derivative of -1/3*o**3 - 5*o + 1/2*o**2 + 1/12*o**x + 0. Suppose m(s) = 0. Calculate s.
1
Let h(i) = -i**3 + 10*i**2 - 27*i + 20. Let n be h(6). Factor -8/5*w + 8/5 + 2/5*w**n.
2*(w - 2)**2/5
Suppose -4/3*s - 2 - 1/6*s**2 = 0. Calculate s.
-6, -2
Let x(w) be the third derivative of -w**7/105 + w**6/12 + 7*w**5/30 - 5*w**4/12 - 2*w**3 - 38*w**2. Factor x(z).
-2*(z - 6)*(z - 1)*(z + 1)**2
Factor -2 - 3/4*g + 11/4*g**2.
(g - 1)*(11*g + 8)/4
Suppose -37*o + 6*o = 37*o - 136. Determine i, given that 1/4*i**o + 3/2*i + 9/4 = 0.
-3
Let p(u) = u**2 + 12*u + 29. Let m be p(-9). Suppose -5*c + 20 = 2*b, -1 - 3 = 3*c - 2*b. Factor 0*k**2 + 5*k**2 - 5*k**c - 4*k**m.
-4*k**2
Let p(f) be the second derivative of -f**4/3 + f**3/3 - 2*f**2 - 6*f. Let c(g) = -g**2 - 1. Let l(x) = 3*c(x) - p(x). Factor l(b).
(b - 1)**2
Let w(m) = 12*m**2 + 3*m + 3. Let g be w(-1). Factor 21*s**4 - s - 3*s - 12*s**3 - 25*s**4 - g*s**2.
-4*s*(s + 1)**3
Let s(u) be the first derivative of 196*u**5/25 - 161*u**4/15 + 88*u**3/15 - 8*u**2/5 + 22*u + 13. Let g(o) be the first derivative of s(o). Factor g(r).
4*(4*r - 1)*(7*r - 2)**2/5
Let s(g) = -2*g**4 + g + 2. Let t(v) = 256*v**5 - 176*v**4 - 208*v**3 + 188*v**2 - 56*v - 12. Let n(i) = -8*s(i) - t(i). Let n(m) = 0. What is m?
-1, 1/4, 1
Let a(z) be the first derivative of 7*z**6/30 - 6*z**5/5 - 13*z**4/20 + 76*z**3/15 + 18*z**2/5 - 16*z/5 + 266. Find m, given that a(m) = 0.
-1, 2/7, 2, 4
Let k(g) be the second derivative of -4*g**6/15 + 3*g**5/5 + g**4/3 - 2*g**3 + 2*g**2 + 5*g. Let k(u) = 0. Calculate u.
-1, 1/2, 1
Let n = -2 + 9. Factor -15*q**2 + q + 4 + 17*q**2 - n*q.
2*(q - 2)*(q - 1)
Suppose 10 + 5 = -h - 3*k, 2*k = 2*h - 2. Let i be (h*4/18)/((-12)/54). Determine f so that 4/3*f**5 - 1/3 + 3*f**4 - 2*f - 8/3*f**2 + 2/3*f**i = 0.
-1, -1/4, 1
Suppose 0 = 5*h - 2*h - 24. Factor 15*p - 6*p**2 - 3*p - h + 2*p**2 + 0*p**2.
-4*(p - 2)*(p - 1)
Let k(r) be the third derivative of 1/60*r**4 - 1/50*r**5 + 1/175*r**7 + 8*r**2 + 0*r**3 + 0 + 0*r - 1/672*r**8 + 1/1200*r**6. Solve k(c) = 0 for c.
-1, 0, 2/5, 1, 2
Let a(r) be the second derivative of -5*r**7/84 + r**6/12 + 7*r**5/8 - 5*r**4/24 - 5*r**3/2 + 192*r. Solve a(k) = 0 for k.
-2, -1, 0, 1, 3
Suppose -14 = -5*o - 2*o. Factor -2*z**2 + 5 - 20*z - 25 - 3*z**o + 0*z**2.
-5*(z + 2)**2
Factor -15*n + 2*n**2 - 64*n + 2*n + 23*n.
2*n*(n - 27)
What is b in 0*b**4 - 65*b + b**4 + 29*b**2 + 18 + 19*b - 9*b**3 + 7*b = 0?
1, 2, 3
Let v(p) be the first derivative of -p**5/210 + p**4/28 - 2*p**3/21 - 9*p**2/2 + 17. Let f(i) be the second derivative of v(i). Let f(q) = 0. What is q?
1, 2
Determine p so that -7/3*p - 3*p**2 + p**4 + 2 + 7/3*p**3 = 0.
-3, -1, 2/3, 1
Suppose 0*q = -5*q - 4*v + 121, -4*v + 79 = 3*q. Suppose -17*l + q*l = 0. Suppose -2/7*i + l - 1/7*i**2 = 0. What is i?
-2, 0
Suppose -8 = 9*t - 80. Let n(f) be the first derivative of -t - 8/3*f**3 + 5*f**2 - 4*f + 1/2*f**4. Find b such that n(b) = 0.
1, 2
Let x(m) be the third derivative of -m**8/336 + m**6/40 - m**5/30 - 611*m**2 + 1. Determine w so that x(w) = 0.
-2, 0, 1
Let f be (-9)/(-4) + (0 - (-7)/(-28)). Let 8/5 + 12/5*r - 8/5*r**f + 4/5*r**5 + 0*r**4 - 16/5*r**3 = 0. What is r?
-1, 1, 2
Let a(g) be the first derivative of g**3/9 - 9*g**2 + 243*g + 9. Factor a(t).
(t - 27)**2/3
Suppose 0 = i - 4*k + k + 6, 0 = -i + k. Let z = 7 + -4. Factor 4*s**3 - s**4 + 0*s**i - 5*s**z.
-s**3*(s + 1)
Determine i, given that -30*i**2 - 16 - 12*i - 23*i**2 + 57*i**2 = 0.
-1, 4
Let k = 550 + -550. Let o(c) be the first derivative of -6/5*c**5 - 3/2*c**2 + 0*c + 1/2*c**6 - 7 + k*c**4 + 2*c**3. Factor o(z).
3*z*(z - 1)**3*(z + 1)
Suppose 5*v + 67 = 4*a, -5*a + 85 = -5*v + 20. Let d be (-24)/v + -2 - 8/(-15). Factor 0*k + 0 - d*k**3 + 2/15*k**2.
-2*k**2*(k - 1)/15
Suppose 2*k = -z + 4, -8 = -5*z + 2*z - 2*k. Suppose 6*o - 20 = -z. Find j, given that -2*j**4 + 10*j**4 + 4*j**o + 5*j**5 - j**5 = 0.
-1, 0
Let w be (-1)/(((-14)/8)/7). Suppose 18 + 2 = w*m. Suppose 2*g - 2 - 7*g**3 + 0*g + g**2 + g**2 + m*g**3 = 0. Calculate g.
-1, 1
What is c in -20*c**2 + 64*c**3 + 4*c**4 + 507*c + 320 + 17*c - 153*c**2 + 461*c**2 - 12*c = 0?
-10, -2
Suppose 2*m - 32 = 2*q, 0 = -5*q - m - 58 + 8. Let n be (-48)/64 + q/(-4) + 1. Factor 0*u**n - 2/7*u**2 + 2/7*u**4 + 0 + 0*u.
2*u**2*(u - 1)*(u + 1)/7
Let n(x) = x**2 - 6*x - 5. Let w be n(12). Let g = -62 + w. Solve -1/5*k**g + 1/5*k**2 + 0*k - 3/5*k**3 + 0 + 3/5*k**4 = 0 for k.
0, 1
Let n(b) be the first derivative of 1/2*b**4 + 2/7*b**5 + 4/21*b**3 + 10 + 0*b + 0*b**2. Factor n(f).
2*f**2*(f + 1)*(5*f + 2)/7
Let v(k) be the first derivative of -4*k**6/3 - 6*k**5 - 2*k**4 + 12*k**3 + 8*k**2 - 6*k + 286. Solve v(l) = 0.
-3, -1, 1/4, 1
Let w be (-5 + (-256)/(-51))*-4*1. Let v = w + 46/153. Factor -v*r + 4/9*r**4 - 4/9*r**2 + 0*r**3 + 0 + 2/9*r**5.
2*r*(r - 1)*(r + 1)**3/9
Let d(a) be the third derivative of a**7/945 - 11*a**6/540 + a**5/30 + 119*a**4/108 + 98*a**3/27 - 232*a**2. Solve d(h) = 0 for h.
-2, -1, 7
Let k(q) be the third derivative of -q**8/3192 - 2*q**7/1995 + q**2 + 53. Factor k(j).
-2*j**4*(j + 2)/19
Let g(z) be the first derivative of 7/300*z**6 - 3/2*z**2 - 1/5*z**4 + 4/15*z**3 - 3/50*z**5 + 0*z - 2. Let f(a) be the second derivative of g(a). Factor f(n).
2*(n - 2)*(n + 1)*(7*n - 2)/5
Let h be 3*((-232)/580 + (-28)/(-30)). Factor -h*i + 16/5 + 1/5*i**2.
(i - 4)**2/5
Let u(v) = 73*v - 144. Let c be u(2). Factor -8/9*a + 0 - 4/9*a**3 - 4/3*a**c.
-4*a*(a + 1)*(a + 2)/9
Suppose 6*b**4 - 15/2*b + 9*b**3 - 6*b**2 + 0 - 3/2*b**5 = 0. What is b?
-1, 0, 1, 5
Let b(r) be the first derivative of 8*r**5/5 + 39*r**4/2 + 116*r**3/3 - 129*r**2 + 56*r - 218. Let b(y) = 0. Calculate y.
-7, -4, 1/4, 1
Let n(h) be the first derivative of 0*h**2 + 6*h - 1/24*h**4 - 1/24*h**3 - 1/80*h**5 + 1. Let o(f) be the first derivative of n(f). Factor o(m).
-m*(m + 1)**2/4
Let g(d) be the third derivative of 0 + 0*d - 1/8*d**4 + 3/20*d**5 + 0*d**3 + 8*d**2. Let u(v) = -v. Let m(l) = -g(l) + 6*u(l). What is c in m(c) = 0?
-1/3, 0
Let q be (-16)/9 - 