ine b, given that g(b) = 0.
-1, -2/7
Let z be 2 + (2 - -5) + (-16 - -9). Factor -2/11*g**z + 0 + 2/11*g.
-2*g*(g - 1)/11
Let 10*c + 25*c**2 - 10 - 2*c + 37*c - 1 + 1 = 0. Calculate c.
-2, 1/5
Let h(p) = -12*p + 147. Let k be h(12). Let l(i) be the second derivative of 7/15*i**5 + 0 - 8*i + 26/9*i**4 - 16/3*i**2 + 40/9*i**k. Factor l(d).
4*(d + 2)**2*(7*d - 2)/3
Factor 10/17*r**2 + 14/17 - 2/17*r**3 + 26/17*r.
-2*(r - 7)*(r + 1)**2/17
Suppose 0 = -5*h - w - 129, -2*h - 3*h - 5*w - 125 = 0. Let i = 31 + h. Factor 3*x**3 - x**4 - 5 + i - 2*x**3.
-x**3*(x - 1)
Let r(b) = -b**3 - 2*b**2 + 4*b - 1. Let k be r(-4). Suppose 0 = 4*h + h - k. Find u, given that -4*u**2 - 3*u + h*u**2 - u**3 + 6*u**2 - 9 = 0.
-1, 3
Let u(x) = x - 8. Let b be u(13). Suppose -a = 4*c - 4*a - 11, 0 = b*c - a - 11. Factor -8*y**5 + 4*y**c + 2*y + 13*y**5 - 3*y**4 - 7*y**3 - y**2.
y*(y - 1)**2*(y + 1)*(5*y + 2)
Let c(h) be the third derivative of -h**8/2240 + h**7/105 - h**6/12 + 2*h**5/5 - 11*h**4/12 - 9*h**2. Let y(q) be the second derivative of c(q). Factor y(i).
-3*(i - 4)*(i - 2)**2
Let z(s) be the second derivative of -s**7/168 + 17*s**6/120 - 43*s**5/80 + 11*s**4/48 + 11*s**3/6 - 7*s**2/2 + 918*s. Determine a, given that z(a) = 0.
-1, 1, 2, 14
Let s(f) be the first derivative of f**3/3 - 7*f**2 + 102. Factor s(b).
b*(b - 14)
Let b(a) be the first derivative of 0*a**4 + 0*a - 1/6*a**2 + 2/9*a**3 - 2/15*a**5 + 8 + 1/18*a**6. Factor b(q).
q*(q - 1)**3*(q + 1)/3
Let s(t) be the third derivative of -t**6/24 + 4*t**5/3 + 345*t**2. Let s(j) = 0. What is j?
0, 16
Let x(y) be the second derivative of -y**4/4 - y**3/2 + 3*y**2 + y - 6. Find j such that x(j) = 0.
-2, 1
Suppose -7 = v - 0*v. Let x = 9 + v. Suppose 3*g - 5*g**5 + g**3 + 18*g**4 + 4 - 23*g**3 - 6 + 8*g**x = 0. Calculate g.
-2/5, 1
Suppose 4*g - 7*g - 561 = 0. Let a = g - -190. Factor 6/7*r**5 + 4/7 + 52/7*r**a + 22/7*r + 48/7*r**2 + 4*r**4.
2*(r + 1)**4*(3*r + 2)/7
Let x(r) be the second derivative of 22/21*r**4 - 12/35*r**5 + 2/105*r**6 + 0 - 37*r + 14*r**2 + 8*r**3. Let x(w) = 0. Calculate w.
-1, 7
Let t(g) be the first derivative of -g**6/2 + 6*g**5/25 + 3*g**4/4 - 2*g**3/5 - 28. Determine z, given that t(z) = 0.
-1, 0, 2/5, 1
Let n(j) be the second derivative of j**6/6 + 6*j**5 + 60*j**4 - 128*j. Let n(v) = 0. Calculate v.
-12, 0
Let s(h) = 7*h**4 - 12*h**3 - 140*h**2 - 220*h - 109. Let i(b) = 120*b**4 - 205*b**3 - 2380*b**2 - 3735*b - 1855. Let l(u) = 2*i(u) - 35*s(u). Factor l(y).
-5*(y - 7)*(y + 1)**2*(y + 3)
Let y(j) be the first derivative of -j**4/21 + 8*j**2/7 - 9*j + 12. Let l(v) be the first derivative of y(v). Let l(n) = 0. Calculate n.
-2, 2
Let d(i) be the second derivative of 2*i**6/15 - 8*i**5 + 472*i**4/3 - 960*i**3 + 2592*i**2 - 21*i + 5. Factor d(w).
4*(w - 18)**2*(w - 2)**2
Let a(v) be the second derivative of -v**7/2940 - 11*v**6/2520 - v**5/70 + 3*v**4/56 - v**3/2 - v. Let h(l) be the second derivative of a(l). Factor h(i).
-(i + 3)**2*(2*i - 1)/7
Let x = 16727/5 + -3345. Let -x*a**3 + 0*a + 4/5*a**2 - 2/5*a**4 + 0 = 0. What is a?
-2, 0, 1
Suppose 0 = n + i - 3 + 4, 5 = -2*n - 3*i. Let h(m) be the first derivative of 3/5*m**n - 2 + 0*m - 1/5*m**3. Factor h(g).
-3*g*(g - 2)/5
Let u(c) be the second derivative of 0 + 1/5*c**5 + 9*c + 32*c**2 + 16*c**3 + 3*c**4. Let u(v) = 0. What is v?
-4, -1
Let v(w) be the third derivative of w**7/385 + 9*w**6/220 + 2*w**5/11 + 3*w**4/11 - 129*w**2 - 3. Suppose v(u) = 0. Calculate u.
-6, -2, -1, 0
Let f be 3/4*(-24)/(-36). Solve -f*v**3 - 3/2*v - 1/2 - 3/2*v**2 = 0.
-1
Solve 6*g**3 + 148*g**2 + 35*g**2 - 3*g**3 + 124*g**2 - 10*g**2 = 0 for g.
-99, 0
Suppose -3*x - 18 = -4*q - 15, 5*x + 5 = 5*q. Let a(l) be the first derivative of 12 + q*l + 0*l**2 - 3/4*l**4 - 2*l**3. Find i such that a(i) = 0.
-2, 0
Let j(w) be the third derivative of -w**6/360 + w**5/90 + w**4/24 - 71*w**2 + w. Solve j(z) = 0.
-1, 0, 3
Let c(z) be the second derivative of 0*z**2 + 0*z**6 + 0 + 0*z**4 + 4*z + 1/252*z**7 + 0*z**3 - 1/120*z**5. What is q in c(q) = 0?
-1, 0, 1
Let t(f) = 2*f**2 + 239*f - 416. Let a(m) = 2*m**2 + 121*m - 208. Let n(z) = 5*a(z) - 3*t(z). Suppose n(w) = 0. What is w?
2, 26
Let j(t) be the third derivative of -t**8/588 + 16*t**7/735 - 4*t**6/35 + 32*t**5/105 - 8*t**4/21 + 172*t**2. Factor j(w).
-4*w*(w - 2)**4/7
Let g(r) be the first derivative of 5*r**3/3 - 11*r**2/2 + 2*r - 57. Find m such that g(m) = 0.
1/5, 2
Let k = 47914/35931 - 2/11977. Solve -2/3*w**4 + k*w**3 + 0 + 2/3*w**2 - 4/3*w = 0 for w.
-1, 0, 1, 2
Let y(x) be the second derivative of -7*x + 7/15*x**3 + 6/5*x**2 + 0 + 1/15*x**4. Factor y(k).
2*(k + 2)*(2*k + 3)/5
Let h(f) be the first derivative of f**3 - 233*f**2/2 + 1440*f - 24. Let c(p) = p**2 - 116*p + 720. Let k(u) = -7*c(u) + 4*h(u). What is s in k(s) = 0?
12
Suppose -187*y = -206*y. Let v = 2 + 1. Factor 0 + y*g**v + 2/7*g**5 + 4/7*g**4 - 2/7*g - 4/7*g**2.
2*g*(g - 1)*(g + 1)**3/7
Suppose -21 = -3*y + 3. Let c be ((-2)/y)/(-1)*2 - -1. Let 3*s**5 + 0 - 9/2*s**2 + 9/2*s**4 - c*s - 3/2*s**3 = 0. Calculate s.
-1, -1/2, 0, 1
Let t(j) be the third derivative of -17*j**2 - 1/10*j**5 + 1/70*j**7 + 0 + 1/20*j**6 + 0*j + 1/2*j**3 - 1/8*j**4 - 1/112*j**8. Factor t(l).
-3*(l - 1)**3*(l + 1)**2
Let k(m) be the first derivative of -m**6/9 - 4*m**5/15 - m**4/18 + 2*m**3/9 + 8*m - 4. Let x(t) be the first derivative of k(t). Determine s so that x(s) = 0.
-1, 0, 2/5
Solve 12*l**2 + 8*l**2 - 16 - 4*l**4 + 2*l**5 + 5*l + 293*l**3 + 3*l - 303*l**3 = 0.
-2, -1, 1, 2
Find k such that -2/9*k**5 - 19712/9*k - 2264/9*k**3 - 12544/9 - 10768/9*k**2 - 124/9*k**4 = 0.
-28, -2
Factor 3*k**3 - 972/5 + 537/5*k**2 + 4752/5*k.
3*(k + 18)**2*(5*k - 1)/5
Suppose -7/2*s**4 - 10*s**2 + 4*s + 9*s**3 + 1/2*s**5 + 0 = 0. What is s?
0, 1, 2
Let x(z) be the second derivative of 0*z**2 + 0*z**3 - 11*z + 0*z**4 + 0 - 2/15*z**6 + 2/5*z**5 - 2/21*z**7. Factor x(f).
-4*f**3*(f - 1)*(f + 2)
Let a = 108 - 68. Let f be 74/90 - 24/a. Find i such that 0 - f*i**5 - 8/9*i**4 + 8/9*i + 8/9*i**2 - 2/3*i**3 = 0.
-2, -1, 0, 1
Suppose 0 = -8*p - p - 126. Let q be (-1 - -1) + (-4)/p. Factor 0*z - q + 2/7*z**2.
2*(z - 1)*(z + 1)/7
Let a = 33 - 31. Suppose 20 - 36*g + a*g**3 - 12*g**2 + 2*g**3 + 24*g**2 = 0. Calculate g.
-5, 1
Let 22665187/12 - 1/12*d**3 + 283/4*d**2 - 80089/4*d = 0. Calculate d.
283
Let r(w) = 9*w**2 + 268*w + 265. Let j(s) = 66*s**2 + 1875*s + 1854. Let u(o) = -2*j(o) + 15*r(o). Factor u(k).
3*(k + 1)*(k + 89)
Suppose 3*d = 4*d - 5. What is g in 17*g**3 - 13*g**d + 9*g**5 - g**3 = 0?
-2, 0, 2
Let m(t) be the first derivative of t**6/40 - t**5/20 - t**4/4 - 7*t**2 - 23. Let s(f) be the second derivative of m(f). Factor s(h).
3*h*(h - 2)*(h + 1)
Let u(z) be the third derivative of -z**7/49 - 13*z**6/70 - 2*z**5/7 + 3*z**4/2 + 9*z**3/7 + 165*z**2. Find k, given that u(k) = 0.
-3, -1/5, 1
Let g(s) be the first derivative of -s**6/35 + s**5/35 + s**4/42 + 3*s + 21. Let l(p) be the first derivative of g(p). Factor l(u).
-2*u**2*(u - 1)*(3*u + 1)/7
Suppose -5*a + 4*p + 26 = 0, -2*p = -7*p - 20. Factor 20*f - 29*f**a - 35*f**4 - 87*f**3 - 8*f**3 - 11*f**2.
-5*f*(f + 1)*(f + 2)*(7*f - 2)
Let a(j) be the first derivative of -1/10*j**5 + 1/8*j**4 + 1/6*j**3 - 1/4*j**2 + 0*j + 10. Factor a(i).
-i*(i - 1)**2*(i + 1)/2
Let u = 16068 - 64271/4. Solve -1/4 + 1/8*f**5 - u*f**4 + 1/8*f + 1/2*f**2 - 1/4*f**3 = 0.
-1, 1, 2
Suppose -5*y + 18 = 4*a, 6*a + 2 = 4*y + 3*a. Solve 4*w**2 - 5*w**2 + 0*w - 3*w**y - 4*w = 0.
-1, 0
Let b(d) be the first derivative of -1/21*d**6 - 3 - 2/21*d**3 + 0*d + 0*d**2 - 6/35*d**5 - 3/14*d**4. Solve b(r) = 0 for r.
-1, 0
Let u(h) be the first derivative of 3*h**5/5 + 15*h**4/2 + 9*h**3 + 114. Determine r, given that u(r) = 0.
-9, -1, 0
Let n = 1031/1320 + 5/264. Suppose -g = 3, -4*v - g = -2*g - 19. Factor -2/5*a**v - 2*a**2 - n*a + 0 - 8/5*a**3.
-2*a*(a + 1)**2*(a + 2)/5
Let d(i) be the first derivative of -2*i**5/5 + i**4/2 + 2*i**3 - 5*i**2 + 4*i - 220. What is q in d(q) = 0?
-2, 1
Let b(x) be the third derivative of x**5/30 + 19*x**4/42 - 8*x**3/7 - 238*x**2. Solve b(h) = 0.
-6, 4/7
Let y be (-1)/(-6)*((-45)/9 + 13). Factor -s**2 - 1/3*s**3 + y*s + 0.
-s*(s - 1)*(s + 4)/3
Let y(n) be the third derivative of 0 + 16*n**2 - 1/84*n**4 + 1/60*n**5 + 0*n**3 + 0*n. Find s, gi