**3 = 0.
-2, -2/7, 0, 1
Let z = 126 - 122. Let g(q) be the first derivative of 7/16*q**z + 2 + 1/6*q**3 + 0*q**2 + 0*q. Factor g(i).
i**2*(7*i + 2)/4
Let r(z) be the third derivative of -z**7/735 + 3*z**6/35 - 72*z**5/35 + 144*z**4/7 - 3*z**2 - 3*z. Factor r(g).
-2*g*(g - 12)**3/7
Factor -667/3*p**2 + 799/3*p + 97/3*p**3 + 4/3*p**5 + 56/3*p**4 - 289/3.
(p - 1)**3*(2*p + 17)**2/3
Factor 2/5*x**4 + 12*x**2 + 18/5*x**3 + 88/5*x + 48/5.
2*(x + 2)**3*(x + 3)/5
Factor -c**4 - 969*c**2 - 108*c**3 + 259 + 108*c + 713 - 2*c**4 + 0*c**2.
-3*(c - 1)*(c + 1)*(c + 18)**2
Let k be 4/6 + (-792)/(-27). Factor 1 - 5*b**2 - 2 + k*b + 1.
-5*b*(b - 6)
Let o(m) be the first derivative of -5*m**4/4 - 50*m**3/3 + 65*m**2/2 + 110*m - 142. Factor o(y).
-5*(y - 2)*(y + 1)*(y + 11)
Let p(n) = 23*n**2 - 36*n - 4. Let o(l) = -4*l**2 + 7*l + 1. Let u(b) = 33*o(b) + 6*p(b). Factor u(w).
3*(w + 1)*(2*w + 3)
Determine w so that -6*w**2 - 20*w - w**2 - 6*w**2 + 16 + 17*w**2 = 0.
1, 4
Suppose -2*g - 2*o = -5*o + 12, 8 = 5*g + 2*o. Let p(l) be the second derivative of 2*l**2 - 5*l - 5/12*l**4 + g - 4/3*l**3. Suppose p(d) = 0. What is d?
-2, 2/5
Suppose -5*a - 60 - 75 = 0. Let q = a + 27. Suppose 6 - 6 - 2*z - 2*z**2 + q = 0. Calculate z.
-1, 0
Let k = 181 + -184. Let t be ((-21)/k)/((-5)/35*-6). Factor 16/3*w**2 - 2/3*w + t*w**4 + 0 - 77/6*w**3.
w*(w - 1)*(7*w - 2)**2/6
Find v such that -4 + 185*v**2 - 95*v**2 + 8*v - 6 + 3*v - 91*v**2 = 0.
1, 10
Let k(z) = 2*z**2 + 8*z - 5. Let b be k(-6). Let q = b - 19. Factor 9*l**2 - 2*l + q*l**3 + 3*l**4 - l - 9*l**3.
3*l*(l - 1)**3
Suppose 0*f**2 + 464*f + 366*f - 940*f - 2*f**2 = 0. Calculate f.
-55, 0
Let b = 227 - 209. Let i be b/(-30)*(-10)/4. Let -3/2*a**5 + 9/2*a**3 - i*a**2 + 0 + 3/2*a**4 - 3*a = 0. What is a?
-1, 0, 1, 2
Let o = 134 + -146. Let u be -1*(o + 2)*(-10)/(-75). Factor u*l**2 - 4 - 8/3*l.
4*(l - 3)*(l + 1)/3
Determine t so that 1 + 2*t**4 + 31412*t**3 - 1 + 96*t**2 + 88*t - 31382*t**3 = 0.
-11, -2, 0
Let n(r) be the first derivative of r**6/240 - r**4/48 + 23*r**2/2 - 14. Let k(i) be the second derivative of n(i). Find w such that k(w) = 0.
-1, 0, 1
Let o = -52 + 51. Let t be o*((-13)/21 - 2/(-7)). Factor 0*s - 5/3*s**4 - t*s**3 - 4/3*s**5 + 0 + 0*s**2.
-s**3*(s + 1)*(4*s + 1)/3
Suppose 3*y = 4*d + 9, 2*d = d. Determine r, given that r**5 + 75*r**3 - 72*r**3 - 4*r - y - 4*r**4 + 3 + 4*r**2 = 0.
-1, 0, 1, 2
Determine u, given that 0 + 62/5*u**2 + 44/5*u - 6/5*u**3 + 2/5*u**5 - 22/5*u**4 = 0.
-1, 0, 2, 11
Let b be (55/22 - 1/2)/(270/60). What is a in 0*a - b*a**2 + 68/9*a**5 - 110/9*a**4 + 0 + 46/9*a**3 = 0?
0, 2/17, 1/2, 1
Suppose -3*y - 2*y = -10. Let g be (y - 0)/2 + 8. Factor -4*q**2 + 5*q - 9 - g*q + q**2 - 8*q.
-3*(q + 1)*(q + 3)
Let t(m) be the second derivative of -m**7/336 - m**6/80 - 3*m**5/160 - m**4/96 - 95*m. Solve t(v) = 0.
-1, 0
Let d(a) = a. Let b(k) = 5*k**2 + 7*k - 15. Let y(p) = -b(p) - 3*d(p). Factor y(s).
-5*(s - 1)*(s + 3)
Let x(d) be the third derivative of -1/168*d**8 + 0*d - 3/245*d**7 + 3/70*d**5 + 1/42*d**4 + 1/84*d**6 + 0 - 13*d**2 + 0*d**3. Find y, given that x(y) = 0.
-1, -2/7, 0, 1
Let n = -16 + 25. Suppose s + n = 4*s. Factor -2 + o**3 - o + 2*o**2 - 3*o + s*o.
(o - 1)*(o + 1)*(o + 2)
Let y(x) be the first derivative of 18 + 3/20*x**5 + 0*x + 0*x**3 + 3/16*x**4 + 0*x**2. Determine f so that y(f) = 0.
-1, 0
Let i(c) be the third derivative of -c**7/630 - 7*c**6/45 - 11*c**5/36 - 2*c**2 + 83*c. Factor i(d).
-d**2*(d + 1)*(d + 55)/3
Let j(c) = -14*c**2 + 36*c + 45. Let h(y) = -5*y**2 + 12*y + 15. Let z(t) = -11*h(t) + 4*j(t). Let w be z(13). Let -1/2*g**w - 9/2 + 3*g = 0. Calculate g.
3
Let j(c) = c - 1. Let v(i) = 15 + 2*i**5 - 51*i + 35*i**4 + 3*i**5 + 6*i + 17*i**3 + 8*i**3 - 35*i**2. Let o(w) = 15*j(w) + v(w). Factor o(a).
5*a*(a - 1)*(a + 1)**2*(a + 6)
Suppose 0 = 9*x - 27. Let k be (-66)/28 + (-4)/(-8) + x. Factor -k*m + 6/7 + 2/7*m**2.
2*(m - 3)*(m - 1)/7
Factor 10*b**4 - 5*b**5 + 57*b**3 + 3870*b**2 - 22*b**3 - 3850*b**2.
-5*b**2*(b - 4)*(b + 1)**2
Suppose k + 0 = 4. Suppose 0*m - k*m + 12 = 0. Factor 35*s**3 - 216*s**2 + 432*s - 4*s**4 + s**m - 324 + 12*s**3.
-4*(s - 3)**4
Let f(i) be the third derivative of -i**5/210 - 4*i**4/21 - 64*i**3/21 - 2*i**2 + 135. Factor f(k).
-2*(k + 8)**2/7
Let n = 149839/5 + -29967. Factor n*y + 1/5*y**2 + 3/5.
(y + 1)*(y + 3)/5
Suppose -36 = -3*a + 3*v, 9*a - 13*a - 24 = 5*v. Let 2/7*f**a - 4/7*f**3 + 2/7 + 2/7*f**5 - 4/7*f**2 + 2/7*f = 0. What is f?
-1, 1
Let n be 12/(-30)*(-1 + -4)/((-12)/(-30)). Determine t so that -t - 17/2*t**4 - 12*t**3 - 13/2*t**2 - 2*t**n + 0 = 0.
-2, -1, -1/4, 0
Let j be -1 - 3 - (-3 - -5). Let o be j/1*(-40)/30. Solve -12*f**4 + 4*f**3 - 9 - o*f + 4*f**5 + 12*f**2 + 9 = 0.
-1, 0, 1, 2
Let i**3 - 2*i**3 - 5*i**3 - 9*i**3 - 2*i**2 - 5*i**5 + 15*i**4 + 7*i**2 = 0. What is i?
0, 1
Let b(u) = 6*u**3 - 361*u**2 + 714*u - 359. Let q(x) = -9*x**3 + 542*x**2 - 1071*x + 538. Let f(y) = 7*b(y) + 5*q(y). Factor f(s).
-3*(s - 59)*(s - 1)**2
Solve -3/2*q**2 + 129*q - 5547/2 = 0.
43
Let g(v) be the third derivative of -v**5/15 + 3*v**4/2 + 44*v**3/3 + 52*v**2 - 2*v. Solve g(s) = 0 for s.
-2, 11
Suppose 4*h = 9*h - 3035. Factor h - 4*g**3 + 4*g - 607.
-4*g*(g - 1)*(g + 1)
Let t(k) = k**3 - 3*k**2 - k + 4. Let l be t(3). Let y(p) = -p**4 - p**2 - 1. Let g(x) = 16*x**4 + 12*x**3 - 2. Let r(h) = l*g(h) - 2*y(h). Factor r(v).
2*v**2*(3*v + 1)**2
Let k(m) = -6*m**2 + 6*m - 17. Let u = 23 + -35. Let w = 6 + u. Let b(l) = 2*l**2 - 2*l + 6. Let c(v) = w*k(v) - 17*b(v). Find n such that c(n) = 0.
0, 1
Let b(u) be the first derivative of -1/12*u**2 + 7/18*u**3 + 0*u - 3/4*u**4 + 2/3*u**5 - 8 - 2/9*u**6. Let b(h) = 0. Calculate h.
0, 1/2, 1
Let n be (-52)/91 + 50*(-2)/(-28). Let x(w) be the second derivative of 0 - 6*w - 1/24*w**4 + 1/40*w**5 + 1/4*w**2 - 1/12*w**n. Factor x(o).
(o - 1)**2*(o + 1)/2
Let m(d) be the first derivative of -d**6/280 - d**5/140 - 4*d**3/3 - 26. Let r(n) be the third derivative of m(n). Factor r(k).
-3*k*(3*k + 2)/7
Let z = -4879/2 - -2349. Let o = -89 - z. Let -o + 1/2*g**2 + g = 0. Calculate g.
-3, 1
Factor 80*s**4 - 4*s**2 - 14*s**3 - 83*s**4 + s - 5*s - 3*s**2 + 4 - 12*s**2.
-(s + 1)*(s + 2)**2*(3*s - 1)
Suppose -m = m - 4. Let i = m + 2. Factor -3*n**3 - n**2 - i*n**2 + 5*n**2.
-3*n**3
Suppose -10*i + 3 = -9*i. Let a(g) = -3*g**2 + 12*g - 12. Let q(h) = -3*h**2 + 12*h - 12. Let u(c) = i*a(c) - 4*q(c). Determine x, given that u(x) = 0.
2
Let c(p) = 7*p - 2. Let z be c(1). Solve 2*r - z*r**3 + r - 2*r**3 + 4*r**3 = 0 for r.
-1, 0, 1
Let o(a) be the first derivative of 2*a**3/21 - 5*a**2/7 - 12*a/7 + 22. Factor o(m).
2*(m - 6)*(m + 1)/7
Let r be (14/8)/(9/(-2072)*2). Let a = -201 - r. Factor 2/9*z - 2/9*z**3 + a*z**2 - 4/9.
-2*(z - 2)*(z - 1)*(z + 1)/9
Let r be (-1)/6 - 3*13/(-234). Factor -1/4*j + 7/4*j**4 + 5/4*j**2 + r - 1/2*j**5 - 9/4*j**3.
-j*(j - 1)**3*(2*j - 1)/4
Let d(p) = -p**5 + p**4 - p. Let w(u) = -33*u**5 - 87*u**4 - 3*u**3 + 18*u**2 + 12*u. Let q(x) = 15*d(x) + w(x). Let q(b) = 0. Calculate b.
-1, 0, 1/4
Factor -8*j**2 + 0 + 0*j - 2/3*j**3.
-2*j**2*(j + 12)/3
Let l(t) be the second derivative of t**5/4 + 35*t**4/4 + 245*t**3/2 + 1715*t**2/2 + 6*t - 9. Determine x, given that l(x) = 0.
-7
Let r(n) be the first derivative of 19/16*n**4 - 25/12*n**3 + 38 + 2*n**2 + 1/24*n**6 - 7/20*n**5 - n. Suppose r(x) = 0. Calculate x.
1, 2
Let z be 12*5/(-20)*-1. Factor -5*s**3 + 9*s**z - 24*s**2 + 3*s + 7*s + 26*s.
4*s*(s - 3)**2
Let h(c) be the first derivative of c - 1/3*c**3 + 35 - 1/4*c**4 + 1/2*c**2. What is w in h(w) = 0?
-1, 1
Let l(b) = 84*b - 1682. Let p(f) = -f**2 - 2*f + 1. Let n(t) = -5*l(t) - 5*p(t). Determine x so that n(x) = 0.
41
Factor -15*d**3 - 33*d - 21/2 - 3/2*d**4 - 36*d**2.
-3*(d + 1)**3*(d + 7)/2
Factor 6*m**2 + 54*m - 15 + 9*m - 18*m**2.
-3*(m - 5)*(4*m - 1)
Let j = 892/897 - 58/69. Factor 0 + j*b**2 - 4/13*b.
2*b*(b - 2)/13
Let h(q) be the first derivative of -44 + 0*q + 0*q**2 + 1/14*q**4 - 2/21*q**3. Suppose h(x) = 0. What is x?
0, 1
Let r = 32121 + -32121. Solve -1/3*b**5 - b**2 + r + b**4 - 1/3*b**3 + 2/3*b = 0.
-1, 0, 1, 2
Let g(t) be the third derivative of -t**4/24 - 7*t**3/6 + 6*t**2. Let z be g(-9). Factor 14*d**4 + z*d + 10*d**2 - 7*d**5 + 11*d**5 + 0*d**5 + 18*d**3.
2*d*(d + 1)**3*(2*