14). Let r(g) = 2*g**2 + 4*g + 2. Let t be r(-2). Let o + 1/2*f - 1/6*f**t - 1/2*f**3 - 1/6*f**4 = 0. What is f?
-2, -1, 1
Let s(k) = 2. Let r(o) = -5*o**2 + 20*o + 21. Let d(m) = -r(m) - 2*s(m). Determine z so that d(z) = 0.
-1, 5
Factor 7/9*g**2 + 2/9*g**3 - 1/9*g**4 + 4/9*g + 0.
-g*(g - 4)*(g + 1)**2/9
Let g be 1780/(-100) + 16 + 46/20. Factor 1/2*h**2 + 0 - g*h.
h*(h - 1)/2
Let b(r) be the third derivative of -r**7/140 + 3*r**6/80 - r**5/20 + 10*r**2. Let b(z) = 0. What is z?
0, 1, 2
Suppose -3*p**2 + 1839 - p**3 - 1839 - 2*p = 0. What is p?
-2, -1, 0
Suppose 2*j = 44 + 26. Suppose -5*x - 37 = -2*k, 0*x + j = 4*k + 3*x. What is l in 196*l**3 - 220*l**2 - 5 - k + 128*l - 88*l**2 = 0?
2/7, 1
Suppose -130 = -4*x - 18. Let y = x + -28. Find d such that 2/5*d**3 + 0*d + 0*d**2 + y + 2/5*d**4 = 0.
-1, 0
Let o be ((-27)/6 - -4)*-426. Let k = -1915/9 + o. Factor 2/9*r**4 - 4/9*r - k + 0*r**2 + 4/9*r**3.
2*(r - 1)*(r + 1)**3/9
Let s be (-182)/26*(-8)/28. Factor 1/10*z**s + 1/10 - 1/5*z.
(z - 1)**2/10
Suppose 3*q + 2 = 5*u, -7*u + 2*u - 4*q - 26 = 0. Let k(z) = 12*z**2 + 28*z + 14. Let t(a) = -a**2 - 1. Let b(l) = u*k(l) - 28*t(l). Let b(v) = 0. What is v?
0, 14
Let n(c) be the first derivative of -36*c**5/35 + 2*c**4/7 + 62. Solve n(s) = 0.
0, 2/9
Determine r so that -104/5*r**3 - 46/5*r**2 - 54/5*r**4 + 0 + 4/5*r = 0.
-1, 0, 2/27
Let f(g) = 3*g**2 + 45*g + 216. Let h(x) = 9*x**2 + 135*x + 639. Let v(i) = -17*f(i) + 6*h(i). Suppose v(b) = 0. Calculate b.
-9, -6
Let y be (-2)/(-6)*(-4)/(96/(-9)). Factor -1/4*x**2 + 1/4 - y*x + 1/8*x**3.
(x - 2)*(x - 1)*(x + 1)/8
Let v(a) = -3*a - 2. Let l(x) = -x**2 + 30*x + 23. Let c(z) = -5*l(z) - 40*v(z). Let c(o) = 0. Calculate o.
-1, 7
Find v, given that 178*v - 68*v - 152*v**2 + 154*v**2 = 0.
-55, 0
Suppose 3 - 15 = -6*u. Factor 16*v**u + 2*v**3 + 42*v + 1 + 0*v**3 + 15 + 20.
2*(v + 2)*(v + 3)**2
Let u(b) = 4*b**2 - 8*b - 5. Let o(i) = 2*i - 5*i + 5*i + i**2 - 3*i - 1. Let g(w) = 20*o(w) - 4*u(w). Factor g(a).
4*a*(a + 3)
Let u(a) be the first derivative of -3*a**4/5 + 16*a**3/3 - 54*a**2/5 + 8*a + 242. Factor u(w).
-4*(w - 5)*(w - 1)*(3*w - 2)/5
Let r(w) = -21*w**2 + 6*w. Let y(d) = 16*d**2 - 3*d. Let x(n) = 3*r(n) + 5*y(n). Find m, given that x(m) = 0.
-3/17, 0
Let p(a) = a**2 - 2*a - 4. Let c be p(4). Factor 10*f**4 - 34*f**4 + 4*f**2 + 20*f**c.
-4*f**2*(f - 1)*(f + 1)
Let u(k) = -2*k**4 - 3*k**3 + 27*k**2 - 24*k - 6. Let b(n) = -5*n**4 - 4*n**3 + 54*n**2 - 47*n - 14. Let r(i) = -6*b(i) + 14*u(i). Factor r(g).
2*g*(g - 3)**3
Let h be -6 - -10 - (5 + -3). Suppose 0*m + 3*m = 9. Factor 4*f**4 - 3*f**2 - 2*f - 5*f**h - 6*f**m + 2*f**5 + 10*f.
2*f*(f - 1)**2*(f + 2)**2
Let r be (-5 - -4)*-4*14/1. Let v be (-8)/(-14) + (-8)/r. Solve 0*h - 2/7*h**2 + 4/7*h**4 + 1/7*h**3 + 0 - v*h**5 = 0 for h.
-2/3, 0, 1
Suppose 44/3*l**2 - 2/3*l**3 + 256 - 320/3*l = 0. What is l?
6, 8
Let t = 45 - 25. Let a be 6/(-12) + t/8. Solve -81/2*q**a - 2 - 18*q = 0 for q.
-2/9
Suppose 18*f - 35*f = -2*f - 45. Suppose 1 - 3*p + 9/4*p**2 - 3/4*p**4 + 1/2*p**f = 0. What is p?
-2, 2/3, 1
Let p(a) = -a**2 + 184*a - 4493. Let z be p(29). Determine q, given that 4/7*q + 2/7*q**z + 0 = 0.
-2, 0
Let x(g) be the first derivative of -4*g**3 + 5*g**2 - 4 - 13 + 3*g**3 + 9*g - 2*g**2. Factor x(j).
-3*(j - 3)*(j + 1)
Let m = -7632/5 - -1527. Let l = 17/2 - 61/10. Factor m + 9/5*v - l*v**2.
-3*(v - 1)*(4*v + 1)/5
Factor -1 - 508*v**3 + 1 - 4*v**4 + 109*v**2 - 109*v**2.
-4*v**3*(v + 127)
Let a(s) be the second derivative of -1/15*s**5 - 2*s**3 + 2*s - 2/3*s**4 + 0 - 5*s**2. Let g(h) be the first derivative of a(h). Find c, given that g(c) = 0.
-3, -1
Let v = 315 + -420. Let g be 12/18 - 80/v. Solve -2/7*r**3 - 6/7*r**4 + 2/7*r + g*r**2 - 4/7 = 0 for r.
-1, 2/3, 1
Let f = -281 + 284. Let p(i) be the first derivative of -i**3 + f*i - 3 - 3/8*i**4 + 3/4*i**2. Factor p(j).
-3*(j - 1)*(j + 1)*(j + 2)/2
Let j(g) be the first derivative of -g**6/540 + g**5/30 - g**4/4 + 5*g**3/3 - 17. Let c(q) be the third derivative of j(q). Suppose c(b) = 0. What is b?
3
Suppose -4*q = m - 0 + 2, -5*q + 4 = -2*m. Suppose -2*g + 22 - 18 = q. Factor -d + 0 + 4/3*d**3 - 11/3*d**g.
d*(d - 3)*(4*d + 1)/3
Let l(m) be the first derivative of -5*m - 1 + 1/4*m**4 - 3*m**2 + 3/2*m**3 + 1/10*m**6 - 9/20*m**5. Let t(x) be the first derivative of l(x). Factor t(w).
3*(w - 2)*(w - 1)**2*(w + 1)
Let z(w) be the second derivative of 1/130*w**5 - 11*w - 5/78*w**4 - 4/13*w**2 + 0 + 8/39*w**3. Factor z(k).
2*(k - 2)**2*(k - 1)/13
Let h(k) be the third derivative of k**8/4032 + 19*k**4/24 + 13*k**2. Let b(j) be the second derivative of h(j). Let b(c) = 0. What is c?
0
Let n be (346/(-50) - -3 - (28 + -32))*40. Factor -12/5*t**4 + 32/5*t**3 + 0*t + n*t**2 - 36/5*t**5 + 0.
-4*t**2*(t - 1)*(3*t + 2)**2/5
Let n(c) be the third derivative of -c**5/180 + c**4/9 + 2*c**2 + 12. Factor n(b).
-b*(b - 8)/3
Let c(f) be the first derivative of 9*f**5/40 - 55*f**4/32 + 19*f**3/4 - 21*f**2/4 + f + 653. Determine w, given that c(w) = 0.
1/9, 2
Factor 12 + x**2 + 12 + 5 + 7 + 2*x**4 - 5*x + 5*x**3 - 39.
(x - 1)*(x + 1)**2*(2*x + 3)
Factor -83*b**2 + 32*b**2 - 116*b + 120 + 21*b**2 + 26*b**2.
-4*(b - 1)*(b + 30)
Let z = -62 - -59. Let w be (-4)/16 - 5/(z + -2). Factor 1/2 + w*k + 1/4*k**2.
(k + 1)*(k + 2)/4
Let l = -2275/9 + 253. Let n be -15 - (-56)/18 - -13. Find c such that 10/9*c**4 + l*c**5 + 2/9 + n*c + 20/9*c**3 + 20/9*c**2 = 0.
-1
Let z(f) be the second derivative of f**6/120 + 3*f**5/40 + 13*f**4/48 + f**3/2 + f**2/2 + 211*f. Factor z(q).
(q + 1)**2*(q + 2)**2/4
Let l(a) be the first derivative of a**8/5880 - 2*a**6/315 + 4*a**4/21 - 2*a**3/3 - 9. Let s(b) be the third derivative of l(b). Solve s(n) = 0.
-2, 2
Suppose 0*o = 5*o - 10. Factor 3*q - 7*q + 4*q**o - 12*q + 16.
4*(q - 2)**2
Let s be (-96)/56 - (-1 + -1). Let p be (-15 - -14)*(0 + -2). Find v such that -s - 2/7*v + 4/7*v**3 - 2/7*v**5 + 4/7*v**p - 2/7*v**4 = 0.
-1, 1
Let b(k) be the first derivative of k**6/30 - k**5/15 - k**4/3 + 3*k**2/2 - 8. Let x(u) be the second derivative of b(u). Factor x(d).
4*d*(d - 2)*(d + 1)
Let l(z) = 11*z**2 - 22*z - 172. Let q(b) = -5*b**2 + 12*b + 84. Let i(a) = -6*l(a) - 14*q(a). Let i(s) = 0. Calculate s.
-3, 12
Suppose -48*t = -36*t + 240. Let k be 98/20 + (32/t)/4. Find p, given that -3/2*p**4 - k*p**5 - 2 - 4*p + 17/2*p**3 + 7/2*p**2 = 0.
-1, -2/3, 1
Let t = -9488 + 9490. Let 1/4*f**t - 1/4 + 0*f = 0. What is f?
-1, 1
Let s(h) be the third derivative of 0*h**3 - 3*h**2 + 0 - 1/52*h**4 - 1/390*h**5 + 0*h. Factor s(b).
-2*b*(b + 3)/13
Let g(b) be the first derivative of 67/10*b**4 - 112/3*b**6 - 1/5*b - 7/20*b**2 - 296/25*b**5 + 4 + 73/30*b**3. What is z in g(z) = 0?
-1/4, 1/5, 2/7
Let w be ((-3)/9)/(212/(-159)). Solve 0 - h - w*h**2 = 0.
-4, 0
Let k be (-4)/10 - (-64)/10. Suppose 10 = t + k. Factor -o**4 - o - t*o**4 + 12*o**2 + 3*o**3 - o + 6*o.
-o*(o - 2)*(o + 1)*(5*o + 2)
Suppose 4*z + 10 = -10. Let k(s) = -9*s**4 + 8*s**3 - s**2 - 3*s + 5. Let c(h) = 8*h**4 - 8*h**3 + 4*h - 4. Let a(d) = z*c(d) - 4*k(d). Factor a(j).
-4*j*(j - 2)*(j - 1)*(j + 1)
Let s(z) be the second derivative of -5*z**4/12 - 35*z**3/3 + 80*z**2 + 33*z + 3. Factor s(b).
-5*(b - 2)*(b + 16)
Suppose -5*j - 90 = -7*j. Let a be 1 - (j/(-12) + 4). Determine o so that 3/4 + a*o**2 - 3/2*o = 0.
1
Suppose 0 = -4*m + 1 + 11. Let p be (m + 44/(-12))*-9. Factor 7*n**3 - 3*n**3 + 2*n**4 + 2*n + 2*n**3 - p*n**2 - 4*n**4.
-2*n*(n - 1)**3
Let f(m) be the second derivative of m**4/16 - 3*m**3/4 - 6*m**2 - 3*m - 3. Factor f(a).
3*(a - 8)*(a + 2)/4
Let z(l) = -l**3 - 7*l**2 + 5*l + 6. Let d be z(-8). Suppose 0*v = 5*x - 3*v - d, 5*x - v = 20. Factor -2/13*j**x + 0*j + 0 - 2/13*j**2.
-2*j**2*(j + 1)/13
Let u(f) be the first derivative of f**3/33 + 3*f**2 + 65*f/11 + 132. Factor u(r).
(r + 1)*(r + 65)/11
Let n(s) be the third derivative of -2*s**7/105 + 2*s**6/3 - 20*s**5/3 + 271*s**2. Factor n(v).
-4*v**2*(v - 10)**2
Let s(l) be the first derivative of 16*l**5/45 + 3*l**4 + 8*l**3 + 6*l**2 + 17. Factor s(k).
4*k*(k + 3)**2*(4*k + 3)/9
Let x(h) be the third derivative of 27*h**2 + 1/15*h**3 + 0*h - 1/300*h**5 + 0 - 1/120*h**4. Find p, given that x(p) = 0.
-2, 1
Let k be (-63)/49 - (-750)/175. Factor 5/3*y**k - 5*y**2 + 10/3*y + 0.
5*y*(y - 2)*(y - 1)