6*z**t - 2*z**2 + 0 + 0*z**3 - 1/9*z**4 + 2/9*z**5 + 0*z. Factor c(r).
-2*r*(5*r - 2)**2/3
Determine q, given that -2/5*q**5 - 28/5*q**3 + 4/5 + 12/5*q**4 - 18/5*q + 32/5*q**2 = 0.
1, 2
Let h(z) be the third derivative of -z**6/1020 - 9*z**5/85 - 81*z**4/17 - 1944*z**3/17 + 57*z**2. Factor h(q).
-2*(q + 18)**3/17
Suppose -6 = -4*y + 2. Let i = -174 - -182. Factor -i*r**y + 7*r**2 - 16*r + 5*r**2.
4*r*(r - 4)
Let h(i) be the second derivative of 1/12*i**4 + 0*i**2 + 1/12*i**6 + 7/40*i**5 + 0 + 24*i + 0*i**3. What is p in h(p) = 0?
-1, -2/5, 0
Let x(y) be the third derivative of y**6/30 - 2*y**5/5 + 3*y**4/2 - 8*y**3/3 + 61*y**2 + 3*y. Determine u so that x(u) = 0.
1, 4
Let x(v) be the first derivative of v**4 - 176*v**3/3 - 90*v**2 + 88. Let x(r) = 0. What is r?
-1, 0, 45
Let c = 959/349 - -3/1396. Find t such that -1/8*t**5 - t**4 - 9/8*t - c*t**3 - 3*t**2 + 0 = 0.
-3, -1, 0
Let w = 3 - 4. Let m be 2*(1 - w/2). Factor -4*v**2 - v**2 + 3*v**2 - 6*v**2 - 4*v**m + 4*v**4.
4*v**2*(v - 2)*(v + 1)
Let k(l) be the second derivative of 5*l**4/6 - 167*l**3/3 + 66*l**2 + l - 27. Find n, given that k(n) = 0.
2/5, 33
Let c(l) = l**2 + 12*l + 32. Suppose -6*v = -5*v + 8. Let g be c(v). What is z in 1/3*z**2 + g - 2/3*z = 0?
0, 2
Let r = 2290 + -2288. Factor 1/2*s**r - s + 1/2.
(s - 1)**2/2
Suppose 23 = -2*z - 25. Let v be (z/(-30))/(2/5). Factor -2*m + 0*m + m**3 + m - 2*m**3 - v*m**2.
-m*(m + 1)**2
Let -150*a**2 + 2*a - 151*a**2 + 300*a**2 = 0. Calculate a.
0, 2
Let x = 1587/182 + -107/14. Let o = -3389/13 + 261. Factor -10/13*n + o - x*n**2.
-2*(n + 1)*(7*n - 2)/13
Let z(d) be the first derivative of 0*d**5 + 0*d**2 + 9/16*d**4 + 0*d + 2 + 1/2*d**3 - 1/8*d**6. Solve z(m) = 0.
-1, 0, 2
Let r(p) be the third derivative of 0 - 1/540*p**5 + 23*p**2 + 0*p + 0*p**4 + 0*p**3 + 1/1890*p**7 - 1/1080*p**6 + 1/3024*p**8. Factor r(x).
x**2*(x - 1)*(x + 1)**2/9
Factor 8*u**2 - 17*u**3 + 38*u + 4*u**4 - 12 - 68*u + 46*u + u**3.
4*(u - 3)*(u - 1)**2*(u + 1)
Suppose -18*y + 1241*y**3 - 2480*y**3 + 1242*y**3 - 15*y**2 = 0. What is y?
-1, 0, 6
Let r(f) = -f**2 - 4*f + 3. Suppose 0 = -5*v + 2*o - 19, -5*v = -5*o + 17 + 8. Let c(w) = -2*w**2 - 9*w + 5. Let m(h) = v*c(h) + 5*r(h). Solve m(d) = 0 for d.
-7, 0
Suppose 184 = 60*k + 13*k + 19*k. Suppose 2/3*y**k + 0*y + 0 = 0. Calculate y.
0
Suppose 2*j + p + 8 = 43, -4*p + 20 = 0. Let n = j + -12. Determine r so that -24/5*r - 12/5 - 3/5*r**3 - n*r**2 = 0.
-2, -1
Let c be (-2*(-31)/155)/((-3)/(-125)). Factor 20/3*b + 2/3*b**2 + c.
2*(b + 5)**2/3
Let v(t) = -3*t**3 - 13*t**2 - t + 147. Let n(d) = -25*d**3 - 105*d**2 - 5*d + 1176. Let m(u) = -6*n(u) + 51*v(u). Suppose m(b) = 0. Calculate b.
-7, 3
Let u = 2103 - 4205/2. Let i be 0/((-2)/(-2)*1). Determine q, given that i - 3/2*q**2 + u*q + q**3 = 0.
0, 1/2, 1
Let z(q) be the second derivative of -q**5/50 + q**4/15 + 2*q - 10. Determine c, given that z(c) = 0.
0, 2
Suppose -5/3*b**3 + 0*b**4 + 4/3*b + 0 + 0*b**2 + 1/3*b**5 = 0. What is b?
-2, -1, 0, 1, 2
Let j be ((-99)/198)/(-1 + 3/4). Factor 1/5 - 2/5*k**j - 1/5*k**5 - 1/5*k + 1/5*k**4 + 2/5*k**3.
-(k - 1)**3*(k + 1)**2/5
Factor -15*c**5 + 28*c**2 + 55*c**4 - 75*c**3 + 30*c**2 - 13*c**2 + c - 11*c.
-5*c*(c - 1)**3*(3*c - 2)
Let m(b) be the third derivative of 0 + 0*b**3 + 0*b + 1/720*b**5 + 16*b**2 + 0*b**4. Find z, given that m(z) = 0.
0
Let b(f) be the first derivative of -25*f**6/18 + 43*f**5/3 - 28*f**4 - 64*f**3 - 367. Factor b(o).
-o**2*(o + 1)*(5*o - 24)**2/3
Suppose -9*b + 30 = -s - 4*b, -5*b = -2*s - 30. Let -4/7*q**3 + s*q + 0*q**2 - 2/7*q**4 + 0 = 0. Calculate q.
-2, 0
Let n(a) be the first derivative of 5*a**3/18 - 5*a**2/2 + 107. Solve n(m) = 0 for m.
0, 6
Suppose 0 = 5*x + 20, 2*y - 3*x = -3*y + 42. Suppose -5*c + 8*c = y. Suppose -1/3*o + 1/3*o**3 + 0 + 0*o**c = 0. Calculate o.
-1, 0, 1
Let b(p) = -7*p - 5*p - 53 - 9. Let q be b(-6). Factor 2*f - q*f**2 - 2*f**4 + 0 + 17/2*f**3.
-f*(f - 2)**2*(4*f - 1)/2
Suppose -4*r = -7*r. Suppose 0 = -54*d + 63 + 45. Factor 8*m**3 - d*m**2 + r*m**2 + 4*m**4 + 2*m**2.
4*m**3*(m + 2)
Let x(a) = a**3 + 4*a**2 - 7*a - 5. Let s be x(-5). Factor 0*n + s*n - 5*n**3 + 78*n**2 - 78*n**2.
-5*n*(n - 1)*(n + 1)
Let f(r) be the second derivative of r**6/60 + 21*r**5/40 - 23*r**4/24 - 7*r**3/4 + 11*r**2/2 + r - 351. Factor f(z).
(z - 1)**2*(z + 1)*(z + 22)/2
Let r(t) = -t**3 + t**2. Let d(l) = 6*l**2 - 15*l + 9. Suppose -5*j = a + 4*a + 30, 5*j + 2 = 2*a. Let f(q) = j*d(q) - 2*r(q). Suppose f(n) = 0. What is n?
1, 3
Suppose 4*y = -12, -4*j - 4*y - 49 + 45 = 0. Factor 2/5*m**3 + 0*m + 2/15*m**4 + 0 + 4/15*m**j.
2*m**2*(m + 1)*(m + 2)/15
Let p(x) = 14*x**3 + 17*x**2 - 9*x. Let v(s) = 5*s**3 + 6*s**2 - 3*s. Let h(m) = 4*p(m) - 11*v(m). Factor h(f).
f*(f - 1)*(f + 3)
Let j(a) = a**3 + a**2 + a - 3. Let p(c) = -13*c**3 - 40*c**2 + 7*c + 58. Let r(h) = -6*j(h) - p(h). What is o in r(o) = 0?
-5, -1, 8/7
Let x(d) = -27*d - 729. Let i be x(-27). Factor -2*c**3 - 2/9*c - 4/3*c**2 - 8/9*c**4 + i.
-2*c*(c + 1)**2*(4*c + 1)/9
Factor 2/9*b**5 + 0*b + 0*b**2 - 4/9*b**3 + 2/9*b**4 + 0.
2*b**3*(b - 1)*(b + 2)/9
Factor -98*s - 11*s**2 + s**2 - 13*s**2 + 10*s**5 + 2*s**2 + 61*s**3 - 15*s**4 - 9*s**5.
s*(s - 7)**2*(s - 2)*(s + 1)
Let 2/3*w**2 - 278/9*w + 92/9 = 0. What is w?
1/3, 46
Let m(k) be the second derivative of -k**6/1440 + k**5/96 - k**4/16 - 19*k**3/6 - 7*k. Let z(p) be the second derivative of m(p). Factor z(l).
-(l - 3)*(l - 2)/4
Let o = 40 - 43. Let b = 41/13 + o. Factor 2/13*v**3 - 2/13*v**2 + 0 - 2/13*v + b*v**4.
2*v*(v - 1)*(v + 1)**2/13
Let y(q) be the second derivative of q**7/42 + q**6/15 - 3*q**5/20 - 2*q**4/3 - 2*q**3/3 + 12*q - 2. Find g such that y(g) = 0.
-2, -1, 0, 2
Let o(s) = -s**5 - s**4 + 3*s**3 + s**2 + 2. Let d(c) = -3*c**5 - 3*c**4 + 12*c**3 + 3*c**2 + 9. Suppose 6 = -2*g - 12. Let p(z) = g*o(z) + 2*d(z). Factor p(v).
3*v**2*(v - 1)*(v + 1)**2
Suppose -d - 35 = -6*d. Let o = d - 5. Factor -o*v**2 + 4*v + 3*v**2 + v**2 + 2.
2*(v + 1)**2
Let t(l) = 75*l**3 + 405*l**2 + 634*l + 317. Let u(n) = 75*n**3 + 405*n**2 + 636*n + 318. Let s(d) = 6*t(d) - 7*u(d). Factor s(z).
-3*(z + 3)*(5*z + 6)**2
Let l(n) be the first derivative of -n**6/3 + 4*n**5/5 + 36*n**4 + 180*n**3 + 297*n**2 + 348. Factor l(p).
-2*p*(p - 11)*(p + 3)**3
Suppose -12*h = 17*h - 203. Let y be (-6)/(-42)*h + -1. Factor 4/7*w**3 - 16/7 + 12/7*w**2 + y*w.
4*(w - 1)*(w + 2)**2/7
Factor 2/3*s**2 + 1014 - 52*s.
2*(s - 39)**2/3
Let s = 3 - 3. Suppose -n = -t - 1, -n - 3*t + 6 - 1 = s. Determine y, given that -66*y**2 + 66*y**2 - n*y**4 + y**5 = 0.
0, 2
Let b(k) be the second derivative of k**4/54 - k**3/27 - 2*k**2/9 - k - 90. Determine w, given that b(w) = 0.
-1, 2
Suppose 133807 + 3*v**3 + 128*v**2 + 65464 + 250*v**2 + 15876*v - 41600 + 64593 = 0. What is v?
-42
Let i(t) be the third derivative of t**10/90720 - t**8/20160 + t**4/8 + 10*t**2. Let v(j) be the second derivative of i(j). Suppose v(f) = 0. Calculate f.
-1, 0, 1
Let r = 4756 - 265813/56. Let h = 77/8 - r. Solve h*m**2 + 0 - 4/7*m = 0 for m.
0, 2
Let c(r) = -r**3 - r - 1. Suppose 5*x = 31 - 26. Let v(n) = 0*n**4 + 1 + 8*n**2 - 4 + n - 3*n**4 - 2*n**3. Let h(j) = x*v(j) - 3*c(j). Factor h(k).
-k*(k - 2)*(k + 1)*(3*k + 2)
Let p(o) be the second derivative of -o**4/32 + 31*o**3/8 - 183*o**2/16 + 22*o + 6. Find g such that p(g) = 0.
1, 61
Let s be -14 - -4 - -3 - 570/(-80). Factor 1/4*w**3 - 1/8*w**4 - 1/4*w + 0 + s*w**2.
-w*(w - 2)*(w - 1)*(w + 1)/8
Let c(j) be the first derivative of j**3/9 - j**2/2 - 4*j/3 + 203. Solve c(v) = 0 for v.
-1, 4
Let q be (-7 - 0) + -20*(-54)/144. Let d be (-1)/(6/(-4) + 1). Solve 0 + q*l - 1/4*l**d = 0 for l.
0, 2
Let m(o) = -4*o**2 + 44*o - 19. Let x be m(15). Let i = x - -3369/13. Solve -i + 0*f**2 + 4/13*f**3 - 4/13*f + 2/13*f**4 = 0 for f.
-1, 1
Suppose 44*q = -3*q + 141. Find x, given that -4/5*x + 4/5*x**q + 0 + 0*x**2 = 0.
-1, 0, 1
Let t = -160 - -164. Let k(n) be the third derivative of 2*n**2 + 0 - 3/280*n**7 + 0*n**3 + 0*n**t + 0*n**5 + 1/80*n**6 + 0*n. Factor k(j).
-3*j**3*(3*j - 2)/4
Let x(b) be the first derivative of -b**9/5040 + b**7/700 - b**5/200 - 7*b**3 - 35. Let a(m) be the third derivative of x(m). What is v in a(v) = 0?
-1, 0, 1
Let q(o) be the first derivative of 0*o - 1/2*o**6 + 2*o**3 + 1 + 0*o**2 + 3/4*o**4