5 + f*r - 1/6*r**4 - 3 + 0*r**2 + 1/9*r**6. Suppose q(j) = 0. What is j?
-1, 0, 1/2, 1
Let n(z) be the third derivative of z**6/3060 - z**5/255 + z**4/68 - z**3 - 35*z**2. Let j(v) be the first derivative of n(v). Factor j(w).
2*(w - 3)*(w - 1)/17
Let j(d) be the second derivative of 1/4*d**5 + 25/12*d**4 + 20/3*d**3 + 0 - 13*d + 10*d**2. Determine y, given that j(y) = 0.
-2, -1
Let p(x) be the third derivative of x**6/540 - 2*x**5/45 + 4*x**4/9 + 29*x**3/6 - 20*x**2. Let l(k) be the first derivative of p(k). Let l(a) = 0. What is a?
4
Factor -40/3 - 58/3*u - 17/3*u**2 + 1/3*u**3.
(u - 20)*(u + 1)*(u + 2)/3
Suppose -5*x = -5*n + 5, 3*x + 0 = 5*n - 9. Factor -4*c**5 + 12*c**4 - 4 + 12*c - 8*c**x - 3*c + 3*c - 8*c**3.
-4*(c - 1)**4*(c + 1)
Let q(i) = i**2 + 6*i + 5. Let a(r) = 4*r**2 + 20*r + 16. Let o(s) = 3*a(s) - 10*q(s). Suppose o(z) = 0. What is z?
-1, 1
Factor -22*q**4 - 29*q**2 - 3*q**2 + 72*q**3 - 70*q - 58*q + 8*q**5 - 6*q**5.
2*q*(q - 4)**3*(q + 1)
Suppose 2*f - 2/23*f**2 - 44/23 = 0. What is f?
1, 22
Let k(x) be the second derivative of x**4/34 + 10*x**3/51 + 3*x**2/17 - 4*x. Factor k(j).
2*(j + 3)*(3*j + 1)/17
Let g be (-3)/(12/(-3) + (-357)/(-42) - 7). Let -g*m**2 - 4/5 - 14/5*m = 0. Calculate m.
-2, -1/3
Let k(a) be the first derivative of 4*a**5/5 + 3*a**4 - 20*a**3 + 34*a**2 - 24*a - 89. Solve k(c) = 0.
-6, 1
Let u(o) be the third derivative of -1/30*o**5 + 0 + 0*o + 15*o**2 - 5/3*o**3 + 1/2*o**4. Let u(r) = 0. Calculate r.
1, 5
Let y be (30/21)/((-12)/(-42)). Factor -15*q**3 - 5*q**2 + 0*q**3 - 15*q + y + 30*q.
-5*(q - 1)*(q + 1)*(3*q + 1)
Let o be ((-28)/(-8))/((-7)/(-4)). Suppose -1/5 - 1/5*u**3 - 3/5*u**o - 3/5*u = 0. What is u?
-1
Let j(a) = 43*a - 29. Let h be j(-5). Let t = h - -733/3. Find b such that t - 5/3*b**3 - b - 3*b**2 = 0.
-1, 1/5
Factor -r**3 + 0 + 2/3*r + 1/3*r**2 + 1/3*r**5 - 1/3*r**4.
r*(r - 2)*(r - 1)*(r + 1)**2/3
Suppose 68*n - 77*n = -18. Let z(m) be the first derivative of -n - 1/35*m**5 - 5/21*m**3 + 1/7*m**2 + 0*m + 1/7*m**4. Find l such that z(l) = 0.
0, 1, 2
Suppose 0 = -4*s + 4, -5*j + 8*s - 3*s + 10 = 0. Suppose 0 - 2/9*p**j - 4/9*p**4 + 0*p + 4/9*p**2 + 2/9*p**5 = 0. Calculate p.
-1, 0, 1, 2
Let w = 1247/295 - 37/59. Determine o so that 4/5*o**2 + 0 - w*o**3 + 0*o = 0.
0, 2/9
Suppose -1 = -b + 7. Let w = b + -6. Solve -2*x**3 - 12*x**3 + 17*x - x - 8 + 0*x**4 + 6*x**w + 4*x**4 = 0.
-1, 1/2, 2
Suppose 2*g + 3 = 39. Let h = -14 + g. Let -8*z**h - 7*z**3 + 4*z + z**3 - 3*z - 3*z**5 = 0. What is z?
-1, 0, 1/3
Suppose -2*b + 3*a = -40, 290*b + 4*a + 86 = 295*b. Let j(o) be the first derivative of 4/9*o - 2/9*o**3 - 1/9*o**2 - b. Factor j(u).
-2*(u + 1)*(3*u - 2)/9
Let x(a) be the second derivative of -a**7/630 + a**6/36 - 2*a**5/15 + 17*a**4/12 - 7*a. Let k(n) be the third derivative of x(n). Find t such that k(t) = 0.
1, 4
Let r = -280 + 282. Factor 1/3*i**4 - 1/3*i**r + 0*i + 0 + 0*i**3.
i**2*(i - 1)*(i + 1)/3
Let z = -26 - -29. Suppose g - 183 = -5*x, -3*g = z*x - 27 - 90. Factor -x*q**3 + 3 + 0 + 18*q + 15*q**2 + 0.
-3*(q - 1)*(3*q + 1)*(4*q + 1)
Let w(y) be the second derivative of -y**5/90 - 7*y**4/27 - 65*y**3/27 - 100*y**2/9 - 15*y. Determine i, given that w(i) = 0.
-5, -4
Let u(p) be the second derivative of -1/6*p**4 + 0 - 1/3*p**3 + 45*p + 1/10*p**5 + p**2. Factor u(v).
2*(v - 1)**2*(v + 1)
Let t(i) be the first derivative of -30*i**3/7 + 181*i**2/14 - 2*i/7 - 869. Suppose t(d) = 0. What is d?
1/90, 2
Suppose 2*q - 4*t = 20, -4*q - q + 2*t = -18. Suppose -3*n = -5*n. Suppose n*a - 2 + 5*a - 4*a**3 + a - 2*a**5 + 6*a**4 - 4*a**q = 0. What is a?
-1, 1
Let j(l) = 13*l**2 + 13*l + 3. Let v be j(-1). Find g, given that -6*g - v + 33/4*g**2 - 9/4*g**3 = 0.
-1/3, 2
Let k be 40/24 - (-83)/249. Factor -1/3*s**3 + 1/3 + 1/6*s**k + 5/6*s.
-(s - 2)*(s + 1)*(2*s + 1)/6
Let t = -23 + -26. Let v = t - -51. Factor 0*l + 1/2*l**3 - 1/2*l**5 + 0*l**v + 0*l**4 + 0.
-l**3*(l - 1)*(l + 1)/2
Let q be -145 - 5/(-15)*3. Let b = q + 144. Factor 2/7*i**5 + 0 + 0*i**2 + b*i + 2/7*i**3 + 4/7*i**4.
2*i**3*(i + 1)**2/7
Let o(u) be the second derivative of -u**5/30 + 5*u**4/9 - 7*u**3/3 + 252*u. Let o(k) = 0. Calculate k.
0, 3, 7
Let r(d) = -54*d**2 + 20*d**2 + 0*d - 3 + 76*d**4 - 4*d - 40*d**3. Let p(v) = -v**4 + v**3 + v**2 - v - 1. Let g(t) = -5*p(t) + r(t). Let g(n) = 0. What is n?
-1/3, 2/9, 1
Let i be ((-150)/(-48) + -3)*1. Let t(s) be the first derivative of 0*s**4 + i*s**2 + 0*s - 1 - 1/10*s**5 - 1/24*s**6 + 1/6*s**3. Factor t(n).
-n*(n - 1)*(n + 1)**3/4
Let q(a) = -3*a**4 + 8*a**3 + 15*a**2 + 2*a + 2. Let o(j) = 67 - 7*j + 4*j**4 - 74 - 45*j**2 + 4*j**4 - 23*j**3. Let m(d) = 2*o(d) + 7*q(d). Factor m(b).
-5*b**2*(b - 3)*(b + 1)
Suppose 26*x = 373 - 295. Determine n, given that 2/3*n**5 - 4/3*n**4 + 4/3*n**2 - 2/3*n**x + 0*n + 0 = 0.
-1, 0, 1, 2
Let s(t) = -8*t**2 - 178*t - 9223. Let w(i) = i**2 - 2*i + 1. Let m(k) = 3*s(k) + 21*w(k). Factor m(h).
-3*(h + 96)**2
Let -4*w**2 + 459 + 110*w - 3320 + 170*w - 2039 = 0. Calculate w.
35
Suppose -3*v = -4*s - 6 + 9, v = -3*s - 1. Let k(y) be the third derivative of 3*y**2 - 1/60*y**5 - 1/8*y**4 - 1/3*y**3 + s*y + 0. Factor k(d).
-(d + 1)*(d + 2)
Let h(w) be the third derivative of -1/80*w**6 - 1/40*w**5 + 0 + 1/140*w**7 + 1/224*w**8 + 0*w**3 - 12*w**2 + 0*w + 0*w**4. Let h(n) = 0. What is n?
-1, 0, 1
Factor -2/3*t**4 + 4/3*t - 10/3*t**2 + 0 + 8/3*t**3.
-2*t*(t - 2)*(t - 1)**2/3
Let t = -34180 + 34180. Determine w, given that -2/3*w + t + 2*w**4 + 2/3*w**3 - 2*w**2 = 0.
-1, -1/3, 0, 1
Let r(z) be the second derivative of z**4/66 + 20*z**3/11 + 900*z**2/11 - 46*z. Factor r(m).
2*(m + 30)**2/11
Let m = 33 - 31. Suppose -4*s - m + 12 = -2*n, 2*s = -2*n + 8. What is k in -1/6 + 1/2*k**s - 7/6*k**2 + 5/6*k = 0?
1/3, 1
Let g(p) be the second derivative of 13*p + 0*p**2 + 1/4*p**4 - p**3 + 0. Factor g(m).
3*m*(m - 2)
Let m(a) be the third derivative of -4*a**7/315 + 3*a**6/20 - 37*a**5/90 + a**4/4 + 5*a**3/9 - 8*a**2 - 2. Determine t, given that m(t) = 0.
-1/4, 1, 5
Let u be ((-30)/44)/(312/(-416)). Factor 6/11*q + 0 + 4/11*q**2 - u*q**3.
-2*q*(q - 1)*(5*q + 3)/11
Suppose 12*f**4 + 6*f**2 - 2*f**2 - 4*f**2 + 14*f**3 - 2*f**5 = 0. Calculate f.
-1, 0, 7
Suppose -105*u = -190*u - 133*u. Factor v**3 + u - 1/3*v**5 - 4/3*v**2 + 2/3*v**4 - 4/3*v.
-v*(v - 2)**2*(v + 1)**2/3
Let m be 15/(-12)*(-264)/2310. What is f in 1/7 + m*f**2 - 2/7*f = 0?
1
Let l be -13 + 14 + -2*(-3)/(-6). Let j(q) be the third derivative of 0*q**3 + 0 + 4*q**2 + 1/390*q**5 + l*q + 1/156*q**4. Determine o so that j(o) = 0.
-1, 0
Determine q, given that -44*q - 5*q**2 + 20*q + 49*q + 30 = 0.
-1, 6
Let q(c) be the first derivative of 2/27*c**3 - 4/9*c**2 + 7 + 8/9*c. Factor q(j).
2*(j - 2)**2/9
Let r(x) be the second derivative of -x**7/294 + 11*x**6/210 - 43*x**5/140 + 11*x**4/12 - 32*x**3/21 + 10*x**2/7 + 4*x - 1. Suppose r(z) = 0. What is z?
1, 2, 5
Factor 21*z**3 + 60*z + 48139*z**2 - 48223*z**2 + 0*z**4 + 3*z**4.
3*z*(z - 2)*(z - 1)*(z + 10)
Let j be (5 + 0)*(6 - 5). Suppose j*w + 0*w + 2 = -3*f, -3*w = -f - 10. Factor 2 - y**w - 2*y - 1 + 4*y - 2.
-(y - 1)**2
Let g = 15286/34353 + -2/3817. Factor 2/3*x + 2/9*x**2 + g.
2*(x + 1)*(x + 2)/9
What is c in -14*c**2 + 37*c**2 - 19*c**2 - 40*c + 17 + 83 = 0?
5
Suppose b = -2*b + 6. Solve 30 + 5*a - 3*a**2 + 0*a**b - 2*a**2 = 0.
-2, 3
Let x(k) be the first derivative of -k**6/6 + 3*k**5 - 14*k**4 + 56*k**3/3 + 24*k**2 - 80*k - 741. Factor x(o).
-(o - 10)*(o - 2)**3*(o + 1)
Let o(r) be the third derivative of -r**7/28 + 25*r**6/48 - 17*r**5/6 + 85*r**4/12 - 20*r**3/3 + 118*r**2 + r. Find a such that o(a) = 0.
1/3, 2, 4
Factor 2*h - 2*h**2 + h**2 + 4*h + 5*h**2 - 4*h**3 - 4*h**4 - 2*h.
-4*h*(h - 1)*(h + 1)**2
Let k(v) = 3*v - 19. Let o be k(8). Suppose -60*u**4 + 24*u**5 + 20*u**2 + 21*u**5 - 5*u**3 + u**3 - 6*u**3 + o*u = 0. What is u?
-1/3, 0, 1
Let s(r) = r**3 + 13*r**2 + 202*r + 2628. Let q be s(-13). What is b in -2/3*b**q + 1/6*b**3 + 1/2*b + 0 = 0?
0, 1, 3
Let i(r) = 2*r**2 + 13*r + 3. Let v be i(-5). Let w = v - -16. Let -8*o**4 + 2*o**5 - 4*o**2 + 13*o**w - 2*o - o**4 = 0. What is o?
-1, 0, 1
Factor 2/3*w**2 - 4/3*w - 16/3.
2*(w - 4)*(w + 2)/3
Let x(g) be the first derivative of -4*g**3/3 - 20*g**2 - 100*g + 297. Factor x(z).
-4*(z + 5)**2
Let y be 0 - (-5 + 