 2)*(3*z - 1)
Let a(i) = i - 7. Let x be a(9). Let g be 3/x - 2/(-4). Let -2*z**4 + 0*z**3 - 4*z**5 + 7*z**3 - g*z - z**3 + 2*z**2 = 0. What is z?
-1, 0, 1/2, 1
Let d(c) be the first derivative of 12/5*c**5 - 16*c + 4/3*c**3 + 1/3*c**6 - 40 - 12*c**2 + 11/2*c**4. Factor d(a).
2*(a - 1)*(a + 1)*(a + 2)**3
Let y be 406/12*30/70. Suppose 3*o = -2*o + 70. Determine r, given that y*r**2 - 1 - 1/2*r + o*r**3 = 0.
-1, -2/7, 1/4
Suppose -5*v + 2*g = 3 - 13, -4*g = -3*v + 6. Solve 2*r + 33*r**2 - 1 + 28*r**v - 62*r**2 = 0 for r.
1
Let z(g) be the first derivative of 0*g - 1/14*g**4 - 1 + 2/21*g**3 + 2/7*g**2. Factor z(l).
-2*l*(l - 2)*(l + 1)/7
Suppose 5*g = 4*n + 86, 2*g = -5*n + 4*n + 37. Suppose u = 3*l - 7*l + g, 5*l - 28 = -4*u. Let 0*k**3 + 1/9*k**4 + 0 + 0*k - 1/9*k**5 + 0*k**u = 0. What is k?
0, 1
Suppose -36 = -5*t + 39. Let y = 19 - t. Factor -35 + y*q**2 + 35.
4*q**2
Let y(c) be the third derivative of c**9/1512 - c**8/288 + c**7/144 - c**6/144 - 3*c**5/20 - 3*c**2. Let h(o) be the third derivative of y(o). Factor h(r).
5*(r - 1)*(2*r - 1)*(4*r - 1)
Suppose 12*a - 15 = 4*u + 7*a, 4*a = 12. Factor 0 + 2/21*r**5 - 2/21*r**3 + u*r**2 + 0*r**4 + 0*r.
2*r**3*(r - 1)*(r + 1)/21
Let k be 2 - 2 - (2 - 4). Let -4*l**3 - 45*l**4 - 4*l**k + 49*l**4 + 5*l - 2 + 2*l**2 - l**5 = 0. What is l?
-1, 1, 2
Let a(m) be the third derivative of 8*m**7/105 + 2*m**6/5 + 13*m**5/15 + m**4 + 2*m**3/3 + 3*m**2 + 2*m. Let a(w) = 0. What is w?
-1, -1/2
Let f = -7418 - -7422. What is q in -4/7 + 348/7*q**f + 40/7*q**2 - 144/7*q**5 - 256/7*q**3 + 16/7*q = 0?
-1/4, 1/3, 1
Let d(b) be the third derivative of b**5/420 - 11*b**4/168 + 2*b**3/3 + 131*b**2. Suppose d(m) = 0. What is m?
4, 7
Let q(u) be the third derivative of u**8/140 + u**7/90 + u**6/180 + 5*u**4/8 - u**2. Let j(d) be the second derivative of q(d). Factor j(w).
4*w*(3*w + 1)*(4*w + 1)
Factor -12*j**2 + 351/5*j + 3/5*j**3 - 486/5.
3*(j - 9)**2*(j - 2)/5
Let r(h) be the third derivative of 9*h**5/4 - 545*h**4/12 + 40*h**3/3 - 236*h**2. Factor r(s).
5*(s - 8)*(27*s - 2)
Let t(w) be the second derivative of -2*w - 5/6*w**3 + 0*w**2 + 1/4*w**5 + 0*w**4 + 0. Factor t(k).
5*k*(k - 1)*(k + 1)
Suppose 4*c - 5 + 17 = 0. Let q be -2*1/2*c. Factor -4*t**2 - 2*t**2 - 3*t**q + 0*t**2.
-3*t**2*(t + 2)
Let o = -27252 + 191105/7. Let b = 49 - o. Factor 8/7 + 10/7*p**2 - 16/7*p - b*p**3.
-2*(p - 2)**2*(p - 1)/7
Let 2/5*z**3 - 12/5*z**2 + 24/5*z - 16/5 = 0. Calculate z.
2
Let d be (-2)/1 + -6 + 12. Let b be 24/(-40) - 23/(-5). Factor d*q**b - 3*q + 0*q**5 + 2*q**2 + 2*q - 6*q**4 + q**5.
q*(q - 1)**3*(q + 1)
Let z(f) be the third derivative of f**5/390 + 29*f**4/156 - 10*f**3/13 + 216*f**2. Suppose z(j) = 0. What is j?
-30, 1
Let x(s) be the first derivative of -15 - 6/5*s**5 - 5*s**4 + 1/3*s**6 - 4/3*s**3 + 10*s + 9*s**2. Suppose x(z) = 0. Calculate z.
-1, 1, 5
Suppose 0 = 2*p + 5*f + 20, 10 - 2 = -5*p - 2*f. Suppose 2*q + 3*x + p = -2, 3*x + 12 = 3*q. Determine m so that -3/4*m**q + 3/2 + 3/4*m = 0.
-1, 2
Suppose 129/4*y - 33 + 3/4*y**2 = 0. What is y?
-44, 1
Let y(j) = -9*j**2 + 15*j - 12. Let h(w) = 8*w**2 - 15*w + 9. Let r(t) = -4*h(t) - 3*y(t). Determine s, given that r(s) = 0.
0, 3
Let d = 19 + -17. Suppose 3*o - 20 = -3*c + 7*o, 0 = -d*c - 2*o + 4. Factor c + 3*f**3 - 2*f**3 - 4 - f.
f*(f - 1)*(f + 1)
Let c(x) be the first derivative of 0*x**3 + 0*x - 1/132*x**4 + 2*x**2 - 1/330*x**5 + 2. Let n(p) be the second derivative of c(p). Solve n(i) = 0 for i.
-1, 0
Let w(v) be the first derivative of -5*v**3/3 - 65*v**2/2 - 110*v - 77. Factor w(t).
-5*(t + 2)*(t + 11)
Let w(a) be the third derivative of -a**6/8 + 5*a**5/12 - 5*a**4/24 - 5*a**3/6 + 42*a**2 + 8. Factor w(i).
-5*(i - 1)**2*(3*i + 1)
Let g = -58 + 756/13. Let c be ((-8)/(-14) + 0)*(-889)/(-3302). Suppose -c*f - g + 2/13*f**2 + 2/13*f**3 = 0. What is f?
-1, 1
Let r(c) = c**2 - 22*c + 42. Let p be r(2). Factor 1/6*d**3 - 1/6*d + 0*d**p + 0.
d*(d - 1)*(d + 1)/6
Let o(d) be the first derivative of -d**3/12 + 7*d**2/4 + 115. Solve o(i) = 0 for i.
0, 14
Let a(s) be the second derivative of s**7/1260 + s**6/180 - s**5/20 + 5*s**4/3 + 5*s. Let r(p) be the third derivative of a(p). Factor r(h).
2*(h - 1)*(h + 3)
Let g(l) be the first derivative of -1/20*l**4 + 14 + l + 1/5*l**3 + 9/10*l**2. Factor g(j).
-(j - 5)*(j + 1)**2/5
Let r = -18867 + 18869. Let 2/5*f**4 - 6/5*f**3 - r*f**2 + 2/5*f**5 + 0 - 4/5*f = 0. Calculate f.
-1, 0, 2
Suppose 0*p + p = -0*p. Factor f**5 + p*f + 0*f**3 + f**3 + f - 3*f**3.
f*(f - 1)**2*(f + 1)**2
Factor -8*s - 6*s**2 - 36*s + 3*s**3 + 6 + 41*s.
3*(s - 2)*(s - 1)*(s + 1)
Let z(c) = -c**3 + 12*c**2 - 19*c + 3. Let b be z(8). Determine f, given that -30*f**3 - 94*f + f**5 + 26*f + 176*f**2 + 8 - 42*f**3 - 216*f**4 + b*f**5 = 0.
-1, 1/3, 2
Let m(z) = -z**3 + 9*z**2 - 7*z - 5. Let i be m(8). Let w be (3 + -6)*(-6)/9. Factor 2*y**w - 9*y**2 - 6*y + 27*y**i - 14*y**2.
3*y*(y - 1)*(9*y + 2)
Let p(l) be the first derivative of -l**5/15 - 2*l**4/3 - 2*l**3 + 9*l - 290. Suppose p(t) = 0. What is t?
-3, 1
Let f(y) = 21*y + 737. Let o be f(-35). Let x(s) be the first derivative of -o*s**2 + 4/3*s**3 + 0*s + 7. Factor x(j).
4*j*(j - 1)
Let v = -1252 - -1259. Let s(t) = -t**2 - 4*t - 1. Let l be s(-2). Find z, given that -56*z**4 - v*z**3 - 5*z**3 + l*z**2 + 41*z**4 = 0.
-1, 0, 1/5
Let f(a) be the first derivative of -a**5/20 + a**4/2 - 3*a**3/2 + 2*a**2 - 5*a/4 + 15. Factor f(k).
-(k - 5)*(k - 1)**3/4
Let g be -4*(-10)/32*(2 + 2). Suppose -g*l + 2*l = -6. What is x in x**l + 1/2 + 9/4*x = 0?
-2, -1/4
Factor 6 + 7/2*v + 1/2*v**2.
(v + 3)*(v + 4)/2
Let s(z) be the third derivative of -17*z**7/420 + z**6/16 + z**5/60 - 899*z**2. Solve s(t) = 0 for t.
-2/17, 0, 1
Let m be (-245)/(-21) - 50/5. Let p(j) be the second derivative of 0 + 6*j - m*j**3 + 1/6*j**4 + 3*j**2 + 1/10*j**5. What is v in p(v) = 0?
-3, 1
Let u(i) be the first derivative of i**4/38 - 10*i**3/19 + 75*i**2/19 - 250*i/19 - 539. Factor u(c).
2*(c - 5)**3/19
Let v(y) be the third derivative of -2/15*y**5 + 0 + 0*y - 1/4*y**6 + 11*y**2 + 0*y**3 + 1/3*y**4. Determine s, given that v(s) = 0.
-2/3, 0, 2/5
Let n(m) be the third derivative of -m**8/2184 + 38*m**7/1365 - 101*m**6/156 + 438*m**5/65 - 324*m**4/13 + 576*m**3/13 + 53*m**2. Suppose n(g) = 0. Calculate g.
1, 12
Let i(h) = 28*h**2 + 337*h + 15. Let n be i(-12). Find b, given that 0 - 3/2*b + 3/2*b**4 - 9/4*b**2 + 9/4*b**n = 0.
-2, -1/2, 0, 1
Let i(m) be the first derivative of -12*m**5 - 395*m**4/4 + 205*m**3/3 + 215*m**2/2 + 35*m - 184. Let i(s) = 0. Calculate s.
-7, -1/3, -1/4, 1
Let r be -4 - (-212)/26 - (-6)/(-39). Let x be (-6)/r - (-170)/60. Factor 0 - 7/3*p**3 - x*p**4 + 1/3*p - 2/3*p**2.
-p*(p + 1)**2*(4*p - 1)/3
Let t(z) be the first derivative of 2*z**3/3 + 5*z**2 - 28*z - 290. Factor t(s).
2*(s - 2)*(s + 7)
Let l(q) be the third derivative of q**7/945 + q**6/216 - 5*q**4/216 - q**3/27 + 190*q**2. Solve l(u) = 0.
-2, -1, -1/2, 1
Determine w, given that 20/7*w**4 + 535/7*w + 304/7*w**2 - 181/7*w**3 - 150/7 = 0.
-6/5, 1/4, 5
Let g = -5 + 11. Let f be 8/(-12) + 22/g. Find y such that 5*y**2 + y**5 - 4*y**2 + 3*y**4 + 0*y**2 + f*y**3 = 0.
-1, 0
Let u(j) be the third derivative of -j**5/390 - 7*j**4/156 + 8*j**3/39 + 153*j**2 + 2*j. Factor u(v).
-2*(v - 1)*(v + 8)/13
Let b(v) be the second derivative of 0 - 8/3*v**6 + 2*v - 5/6*v**3 - 15/4*v**4 - 6*v**5 + 0*v**2. What is k in b(k) = 0?
-1, -1/4, 0
Let p(u) be the second derivative of u**5/20 - 7*u**4/4 + 49*u**3/2 + 10*u**2 + 5*u. Let g(h) be the first derivative of p(h). Suppose g(b) = 0. What is b?
7
Let b(s) be the second derivative of s**8/336 + s**7/105 + s**6/360 - s**5/60 + 7*s**3 + 44*s. Let v(u) be the second derivative of b(u). Factor v(h).
h*(h + 1)**2*(5*h - 2)
Let y = -4949 + 34647/7. Determine w, given that 4/7*w**2 - 8/7*w**5 + 0 - y*w**4 + 8/7*w**3 + 0*w = 0.
-1, -1/2, 0, 1
Find v such that -2 - 46/11*v - 4/11*v**2 = 0.
-11, -1/2
Factor -85*i**3 - 59*i**3 - 93382*i**2 + 588 + 93478*i**2 + 812*i.
-4*(i - 3)*(6*i + 7)**2
Let w be 6/9*6/16. Let a = -36 - -36. Factor w*c**4 - c**3 + 5/4*c**2 + a - 1/2*c.
c*(c - 2)*(c - 1)**2/4
Let x(u) be the first derivative of -2*u**4/3 + u**3 + u**2 + 11*u + 2. Let j(z) be the first derivative of x(z). Find d such that j(d) = 0.
-1/4, 1
Let 