z**2 + 8 - 2 + 816*z - 791*z + 4 = 0. What is z?
-1, -2/3
Let d(r) = -2*r**4 - 5*r**3 - 39*r**2 + 51*r - 5. Let l(q) = -q**4 - q**3 + 3*q - 1. Let b(u) = d(u) - 5*l(u). Determine y, given that b(y) = 0.
-4, 0, 1, 3
Let h(b) be the third derivative of -b**6/120 - b**5/60 + 8*b**2. Let g(n) = -4*n**3 + 25*n**2 - 37*n + 14. Let k(x) = -2*g(x) + 2*h(x). Factor k(v).
2*(v - 7)*(v - 1)*(3*v - 2)
Let g be (-553)/(-63) + (-10)/(-45). Let n(t) be the third derivative of g*t**2 + 0*t - 1/12*t**4 - 1/120*t**5 - 1/4*t**3 + 0. Let n(p) = 0. Calculate p.
-3, -1
Let a(s) be the second derivative of -3*s**5/10 + 101*s**4/6 - 199*s**3/9 + 11*s**2 + 644*s. Factor a(h).
-2*(h - 33)*(3*h - 1)**2/3
Find m, given that -m**4 + 6*m**2 + 162 + 8*m**3 - 8*m + 3*m**4 - 170 = 0.
-2, -1, 1
Suppose -35 = -5*z - 5*t - 0, -2*z + 9 = 3*t. Find g such that -2*g**3 + 11*g**3 - z*g + 3*g**3 + 16*g**2 + 3 - 1 - 18*g**4 = 0.
-1, 1/3, 1
Let p(r) be the third derivative of r**8/15680 + r**7/1960 - r**5/70 - r**4/6 + 6*r**2. Let t(f) be the second derivative of p(f). Factor t(m).
3*(m - 1)*(m + 2)**2/7
Let i(b) be the second derivative of -b**6/6 - b**5 - 5*b**4/4 + 10*b**3/3 + 10*b**2 + 73*b. Suppose i(l) = 0. Calculate l.
-2, -1, 1
Let n = 5277/6590 - 1/1318. Factor -n*g + 2/5*g**2 + 0.
2*g*(g - 2)/5
Let d(c) be the first derivative of c**6/6 - 3*c**5/5 - 3*c**4/2 + 10*c**3/3 + 21*c**2/2 + 9*c + 107. Let d(j) = 0. Calculate j.
-1, 3
Let s(h) be the second derivative of 0*h**2 + 5/18*h**4 + 1/45*h**6 - 2/15*h**5 + 0 + 12*h - 2/9*h**3. Find b, given that s(b) = 0.
0, 1, 2
Let a = 269 + -264. Let s(v) be the second derivative of -1/9*v**4 + 0*v**2 + 2/15*v**6 - 4/15*v**a + 4/9*v**3 + 0 - 4*v. What is d in s(d) = 0?
-2/3, 0, 1
Let t(n) = 5*n**3 + 2*n**2. Let f = 64 + -59. Let p(y) = -11*y**3 - 5*y**2. Let u(b) = f*t(b) + 2*p(b). Factor u(j).
3*j**3
Suppose -4*b = -b. Suppose 6 = -3*a + 4*a. Factor a*i - 8*i + 2*i**3 + 2*i**4 - 2*i**2 + b*i**2.
2*i*(i - 1)*(i + 1)**2
Let o(r) be the third derivative of -r**5/270 - r**4/54 - 3*r**2 - 5*r. Solve o(x) = 0.
-2, 0
Let k(v) be the second derivative of -3*v**6/70 - 57*v**5/140 - 39*v**4/28 - 29*v**3/14 - 9*v**2/7 - 87*v + 2. Let k(w) = 0. What is w?
-3, -2, -1, -1/3
Let l(v) be the second derivative of v**7/56 + 11*v**6/144 + v**5/12 + v**4/4 + v. Let w(p) be the third derivative of l(p). Factor w(a).
5*(a + 1)*(9*a + 2)
Let n(t) = -2*t - 9. Let q be n(-6). Factor -1 + 2*a**4 - 3*a**5 + 2*a**5 + 11*a**2 - 5*a**4 + 12*a + a**q + 5.
-(a - 2)*(a + 1)**3*(a + 2)
Let h(l) = 10*l**2 + 296*l + 5440. Let n(u) = -19*u**2 - 592*u - 10886. Let t(m) = -11*h(m) - 6*n(m). Suppose t(o) = 0. What is o?
-37
Factor 33*q - 2*q**3 + 4*q - 16*q**2 + 18*q - 33*q + 18*q.
-2*q*(q - 2)*(q + 10)
Let f be 77/11 - (0 + 1 + 3). Suppose -1/2*n**f + 3/2*n**2 + 0 + n - 3/2*n**4 - 1/2*n**5 = 0. What is n?
-2, -1, 0, 1
Let b(i) = 2*i**5 - 81*i**4 + 789*i**3 - 1368*i**2 + 648*i. Let r(t) = -t**5 + 40*t**4 - 395*t**3 + 684*t**2 - 324*t. Let z(n) = -2*b(n) - 5*r(n). Factor z(m).
m*(m - 18)**2*(m - 1)**2
Let d be 158/24 + (3 - 4) + 63/84. Factor 25/9*u**2 + d*u - 2 - 14/9*u**3.
-(u - 3)*(2*u + 3)*(7*u - 2)/9
Let b(w) = 160*w**3 + 1204*w**2 + 2120*w - 2140. Let p(c) = -29*c**3 - 219*c**2 - 386*c + 389. Let h(o) = 5*b(o) + 28*p(o). Suppose h(q) = 0. What is q?
-6, -4, 2/3
Let c(t) be the first derivative of -t**6/15 + t**5/20 + t**4/12 - 8*t + 13. Let b(j) be the first derivative of c(j). Factor b(p).
-p**2*(p - 1)*(2*p + 1)
Let v(r) = -r**2 + 8*r - 40. Let g(t) = t**2 - 7*t + 41. Let p be -7 - (112/(-49) - 2/(-7)). Let c(n) = p*v(n) - 4*g(n). Find i such that c(i) = 0.
6
Suppose -2*x + 4*d - 8 = -0*x, 4*d - 2 = 5*x. Let y be 2/(-1 + -1) + 4. Find t such that -3*t**2 + t**x + t**2 - t**y = 0.
-1, 0
Suppose -7 = -11*f - 7. Let m(b) be the first derivative of 1 + 1/6*b**6 - 1/2*b**2 + 2/5*b**5 + 0*b**4 + f*b - 2/3*b**3. What is w in m(w) = 0?
-1, 0, 1
Suppose -58*z + 54*z = 0. Let m(a) be the second derivative of 0*a**3 + 1/10*a**6 + 0*a**4 + 0 + z*a**5 + 0*a**2 - 4*a + 1/14*a**7. Factor m(t).
3*t**4*(t + 1)
Let q(r) be the first derivative of -r**8/1120 + r**7/280 + r**6/240 - r**5/40 + r**3/3 + 14*r + 25. Let n(c) be the third derivative of q(c). Factor n(i).
-3*i*(i - 2)*(i - 1)*(i + 1)/2
Let f(s) = 4*s**2 + 14*s + 3. Let o(r) = 3*r**2 + 13*r + 2. Let v(q) = 2*f(q) - 3*o(q). Solve v(d) = 0 for d.
-11, 0
Let a(j) = 5*j**2 - 89*j + 84. Let n(r) = 70*r**2 - 1245*r + 1175. Let x(s) = -85*a(s) + 6*n(s). Factor x(p).
-5*(p - 18)*(p - 1)
Suppose 29 = 4*x - q, 3*x - 4*q + 2*q = 23. Let g be -4*(x/(-2))/7. Factor 3*p - 7*p**2 - 2*p**3 + 3*p**g - 4*p - p.
-2*p*(p + 1)**2
Let g = -96 - -99. Factor 11*p**4 - 2*p**4 - 500*p + 300*p**2 - 60*p**g - 5*p**4.
4*p*(p - 5)**3
Let u(o) be the first derivative of o**6/780 - o**5/390 - o**4/39 + 4*o**3/39 - o**2/2 + 7. Let v(a) be the second derivative of u(a). Factor v(s).
2*(s - 2)*(s - 1)*(s + 2)/13
Suppose 21*s - 24 = -3*w + 26*s, w + 9 = -4*s. Let g be (-2)/(-2) - (2 + -3). Find v, given that 4/3*v**4 - 2/3*v**w + 2/3 + 2/3*v - g*v**2 = 0.
-1, -1/2, 1
Let p(t) be the first derivative of t**6/30 - 7*t**5/15 - 4*t**4/3 - t**2 - 29. Let b(g) be the second derivative of p(g). Factor b(u).
4*u*(u - 8)*(u + 1)
Let s(c) be the first derivative of c**4/18 - 4*c**2/3 - 32*c/9 - 133. Factor s(o).
2*(o - 4)*(o + 2)**2/9
Let j(v) be the third derivative of -v**7/1260 - v**6/540 + 11*v**3/3 + 31*v**2. Let m(l) be the first derivative of j(l). Factor m(r).
-2*r**2*(r + 1)/3
Let a(k) be the third derivative of 7*k**2 - 1/12*k**5 + 0*k**3 + 0 - 5/24*k**4 + 0*k. Factor a(q).
-5*q*(q + 1)
Let s(a) be the third derivative of 0*a + 125/24*a**3 + 2*a**2 + 25/48*a**4 + 1/48*a**5 - 30. Determine k so that s(k) = 0.
-5
Let d(q) = -4*q**4 + 2*q**3 + 16*q**2 - 14*q. Let g(w) = -4*w**4 + w**3 + 16*w**2 - 13*w. Let x(m) = 3*d(m) - 2*g(m). What is h in x(h) = 0?
-2, 0, 1, 2
Let t(m) = -5*m**4 - 22*m**3 + 46*m**2 - 39*m - 2. Let x = -65 - -54. Let h(d) = -2*d**4 - 7*d**3 + 15*d**2 - 13*d - 1. Let j(v) = x*h(v) + 4*t(v). Factor j(p).
(p - 3)*(p - 1)**2*(2*p - 1)
Suppose -k = 3*l + 9, -5*l = 5*k - 10*l - 55. Factor 4*n**3 + 6 + k*n**2 - 1 + 3*n + n**4 - 4 + n.
(n + 1)**4
Suppose 2546 = -38*z + 2660. Factor 1/5*m**5 + 0*m - 4/5*m**2 + 1/5*m**4 + 0 - 4/5*m**z.
m**2*(m - 2)*(m + 1)*(m + 2)/5
Let s(t) be the first derivative of -t**5/20 - 9*t**4/16 - 2*t**3 - 5*t**2/2 - 492. What is z in s(z) = 0?
-5, -2, 0
Let y(u) be the first derivative of -u**6/50 + u**4/20 + 17*u + 15. Let o(f) be the first derivative of y(f). Factor o(w).
-3*w**2*(w - 1)*(w + 1)/5
Suppose -2*p + 0*n + n = -63, -p - 4*n + 45 = 0. Let q = -228/7 + p. Factor 18/7*g + 27/7 + q*g**2.
3*(g + 3)**2/7
Let i(m) be the second derivative of 13*m + 1/5*m**6 - 1/21*m**7 - 1/2*m**4 - 1/10*m**5 + 0*m**2 + 2/3*m**3 + 0. Suppose i(q) = 0. What is q?
-1, 0, 1, 2
Factor 0*l**4 - 4/5 + 2/5*l**5 + 6/5*l + 4/5*l**2 - 8/5*l**3.
2*(l - 1)**3*(l + 1)*(l + 2)/5
Let i(b) be the first derivative of 0*b - 16 - 2/39*b**3 - 1/26*b**4 + 0*b**2. Solve i(q) = 0 for q.
-1, 0
Factor 2*m**3 - 589*m**2 - 147*m**2 - 7*m**3 + m**3 - 33856*m.
-4*m*(m + 92)**2
Let d(r) be the third derivative of r**6/120 - 11*r**5/60 + 19*r**4/24 + 20*r**3/3 - 4*r**2 - 21*r. Let s be d(8). Factor -3*v - 3/2*v**2 + s.
-3*v*(v + 2)/2
Let n(b) be the first derivative of 2*b**5/55 - 14*b**3/33 - 6*b**2/11 + 22. Determine m so that n(m) = 0.
-2, -1, 0, 3
Let m be (-6)/4*(-6 + 4). Factor -m*j - 3 + 15*j - 6*j - 2*j - j**2.
-(j - 3)*(j - 1)
Let f(c) be the second derivative of -c**4/4 + 14*c**3 - 294*c**2 + 18*c + 1. What is w in f(w) = 0?
14
Let p(d) be the third derivative of 0*d + 1/20*d**5 + 11*d**2 + 1/2*d**4 + 0 + 2*d**3. Factor p(y).
3*(y + 2)**2
Let y(i) be the third derivative of i**6/280 - i**5/35 + i**4/14 + 166*i**2. Let y(n) = 0. What is n?
0, 2
Let b(j) be the second derivative of -j**7/14 + 7*j**6/10 - 9*j**5/4 + 13*j**4/4 - 2*j**3 - 8*j. Factor b(z).
-3*z*(z - 4)*(z - 1)**3
Let r(q) be the first derivative of -5*q**4/2 - 38*q**3/3 - 24*q**2/5 + 288*q/5 + 50. Let r(n) = 0. Calculate n.
-12/5, 1
Let z(u) be the second derivative of -u**4/36 + 7*u**3/18 + 4*u**2/3 + 28*u. Determine o so that z(o) = 0.
-1, 8
Find r, given that 17/7*r**3 - 16/7 + 17/7*r**2 - 1/