he third derivative of 0*m + 0*m**4 + 0*m**3 + 9*m**2 - 1/8*m**6 + 0 - 2/35*m**7 - 1/10*m**5 - 1/112*m**8. Solve n(h) = 0 for h.
-2, -1, 0
Let a(k) be the third derivative of k**5/180 + k**4/8 + 4*k**3/9 + 8*k**2 + 3. Factor a(b).
(b + 1)*(b + 8)/3
Let m(c) be the first derivative of c**9/1008 - c**7/280 + 20*c**3/3 - 14. Let j(d) be the third derivative of m(d). Factor j(h).
3*h**3*(h - 1)*(h + 1)
Determine i so that 45 - 9 - 228*i**2 + 224*i**2 = 0.
-3, 3
Let i(k) be the first derivative of -k**5/12 - 35*k**4/12 - 245*k**3/6 - k**2 + 35*k - 19. Let l(u) be the second derivative of i(u). Factor l(x).
-5*(x + 7)**2
What is a in -24/5 - 8*a - 18/5*a**2 - 2/5*a**3 = 0?
-6, -2, -1
Factor 24 - 20/3*g - 4/9*g**2.
-4*(g - 3)*(g + 18)/9
Let n(p) be the second derivative of p**7/14 - 3*p**6/10 + 3*p**5/20 + 3*p**4/4 - p**3 + 2*p + 354. Suppose n(y) = 0. Calculate y.
-1, 0, 1, 2
Let p(i) = -i**3 - 7*i**2 - 3*i - 1. Let r be p(-7). Suppose -9*m - m = -r. Factor -1/2*s - 1/4*s**m + 0.
-s*(s + 2)/4
Let i = 764/1143 - 2/1143. Let f(h) be the first derivative of i*h**2 - h + 5 - 1/9*h**3. Suppose f(q) = 0. Calculate q.
1, 3
Let c(w) be the second derivative of -1/60*w**6 + 0*w**3 - 9*w + 0 + 1/10*w**5 - 1/6*w**4 + 0*w**2. Factor c(b).
-b**2*(b - 2)**2/2
Let g = -15800 + 15800. Find m such that 0*m - 4/9*m**3 - 2/3*m**4 + 4/9*m**5 + g + 0*m**2 = 0.
-1/2, 0, 2
Suppose -208*k = -213*k. Let o be 3/12*(0 - -3). Suppose k + 3/4*g**3 - 3/4*g + 3/4*g**2 - o*g**4 = 0. What is g?
-1, 0, 1
Let p = 1230 + -15988/13. Determine z, given that 4/13*z**2 - p + 2/13*z = 0.
-1, 1/2
Let h(m) = -77*m**3 + 62*m**2 - 10*m - 2. Let p(n) = 40*n**2 + 1 - 10*n**3 - 4 - 68*n**3 - 9*n + 23*n**2. Let s(u) = 3*h(u) - 2*p(u). Let s(c) = 0. What is c?
0, 2/5
Find h, given that -7735/4*h**2 + 1090*h + 245/4*h**3 - 155 = 0.
2/7, 31
Let m(r) = -r**2 - 29*r - 98. Let g be m(-25). Let d(k) be the first derivative of -k**g + 1/6*k**3 - 5 + 2*k. Factor d(u).
(u - 2)**2/2
Let q = -5607 + 5607. What is b in -10/3*b**3 + b**5 + 7/3*b + 2/3 - 2/3*b**4 + q*b**2 = 0?
-1, -1/3, 1, 2
Let y(k) be the first derivative of -1/6*k**4 - 10/3*k + 3*k**2 - 6 - 2/3*k**3. Determine q so that y(q) = 0.
-5, 1
Let q(l) be the first derivative of 2*l**3/27 + 13*l**2 - 75. Suppose q(y) = 0. Calculate y.
-117, 0
Suppose 0*u = -4*u + 20. Let w = 7 - u. Factor -f**4 + 2*f**3 - 5*f - 1 + 4*f**2 + 4*f + 2*f**2 - 4*f**w - f**5.
-(f - 1)**2*(f + 1)**3
Let p(o) be the first derivative of -o**3/15 - 7*o**2/2 - 34*o/5 - 9. Factor p(i).
-(i + 1)*(i + 34)/5
Solve 3/2 - j - 28*j**2 = 0 for j.
-1/4, 3/14
Let s(b) be the first derivative of -10*b**6/3 + b**5 + 16*b**4/3 + 8*b**3/3 + 8*b + 10. Let a(d) be the first derivative of s(d). Solve a(z) = 0.
-2/5, 0, 1
Let n(v) be the second derivative of -v**5/5 + 214*v**4/3 - 22898*v**3/3 - 4*v + 1. What is f in n(f) = 0?
0, 107
Suppose 4*r - 3 = 4*s - 7, -r + 15 = 3*s. Let d(y) = -y - 8*y**r - 3 + 0 + 8 + 4*y**4. Let u(q) = q**4 - 2*q**3 + 1. Let z(h) = -4*d(h) + 18*u(h). Factor z(o).
2*(o - 1)**3*(o + 1)
Let n(b) = 3*b**2 + 25*b + 16. Let c be n(-8). Let s(k) be the first derivative of 1/6*k**4 - 2/3*k**3 + 8/3*k + 0*k**2 + c. Find d, given that s(d) = 0.
-1, 2
Let g be (-309)/(-1738)*8/(-60)*-5. Let c = 5/79 + g. Suppose c - 4/11*n**2 + 0*n + 2/11*n**4 + 0*n**3 = 0. Calculate n.
-1, 1
Let b(w) = 22*w**2 - 775*w + 72195. Let s(i) = -13*i**2 + 389*i - 36097. Let y(n) = 3*b(n) + 5*s(n). Suppose y(m) = 0. What is m?
190
Let x(r) = 5*r - 31. Let m(g) = g. Let s(y) = -2*m(y) - x(y). Let k be s(4). Let -8/5*q**2 + 2/5*q**5 + 12/5*q**k + 0 + 2/5*q - 8/5*q**4 = 0. Calculate q.
0, 1
Determine c, given that -1/2*c**2 - 1/8*c - 1/8*c**5 + 1/4*c**4 + 1/4 + 1/4*c**3 = 0.
-1, 1, 2
Let p(x) be the first derivative of -x**9/5292 + x**8/2940 + x**7/735 - 6*x**3 + 19. Let j(f) be the third derivative of p(f). Determine k, given that j(k) = 0.
-1, 0, 2
Let -3*x**5 + 3294*x**2 - 3224*x**2 + 2*x**5 - 53*x + 11*x**4 + 15 - 42*x**3 = 0. What is x?
1, 3, 5
Factor 2/5*f**2 + 162/5 + 36/5*f.
2*(f + 9)**2/5
Let y(g) = 14*g**3 - 4*g**2 - 18*g. Let t(v) = 15*v**3 - 4*v**2 - 18*v + 1. Suppose -b + 4 = -2*b. Let q(s) = b*t(s) + 3*y(s). Determine n, given that q(n) = 0.
-1, 2/9, 1
Let y(m) be the second derivative of m**6/6 + 4*m**5 - 5*m**4/12 - 40*m**3/3 + 6*m + 9. Factor y(g).
5*g*(g - 1)*(g + 1)*(g + 16)
Let a(c) = -388 + 191 + 7*c - c**2 + 193. Let y be a(6). Suppose 0 - 1/2*f**3 + 0*f**y + 1/2*f = 0. What is f?
-1, 0, 1
Let j be ((-3)/(3/(-3)))/1. Solve 7*z - 10*z**2 + 8 - j*z - 4*z**3 + 2*z**2 = 0.
-2, -1, 1
Suppose 0*o + 3*k - 2 = -4*o, -k = 2*o. Let t be o + 3/((-27)/(-21)). Factor 0 + 1/3*q**4 + t*q**3 + 2/3*q + 5/3*q**2.
q*(q + 1)**2*(q + 2)/3
Suppose -3*m = -0 - 9. Determine v, given that -3*v**3 - m + 3*v + 6*v**2 - 3*v**2 + 0*v + 0*v = 0.
-1, 1
Let i(d) = -7*d**3 - 85*d**2 + 400*d - 320. Let a(r) = -40*r**3 - 510*r**2 + 2400*r - 1920. Let j(u) = -6*a(u) + 35*i(u). What is b in j(b) = 0?
1, 8
Suppose 32 = 2*a - a. Let y(c) be the second derivative of -6*c - 16/3*c**3 + 1/3*c**4 + a*c**2 + 0. Factor y(p).
4*(p - 4)**2
Let z(u) be the first derivative of 3*u**4/16 + u**3/8 - 22*u - 11. Let p(x) be the first derivative of z(x). Determine f, given that p(f) = 0.
-1/3, 0
Suppose 50 = -33*u + 38*u. Suppose 10*c - u = 5*c. Solve 2/5*y**c - 2/5*y**4 - 2/5*y**3 + 2/5*y + 0 = 0.
-1, 0, 1
Let u(a) = a**3 - a**2 - 43*a - 2. Let m be u(-6). Let d(r) be the second derivative of -9/4*r**2 + 0 + r**3 - 1/8*r**m - 5*r. What is f in d(f) = 0?
1, 3
Let h = -23859/65 + 6818/13. Let y = h + -157. Suppose -y*v**3 - 2/5*v**2 - 6/5 + 2*v = 0. What is v?
-3, 1
Let o(t) = 3*t**3 + 36*t**2 - 159*t - 3. Let i(j) = 3*j**3 + 39*j**2 - 160*j - 2. Let l(s) = 3*i(s) - 2*o(s). Solve l(g) = 0.
-18, 0, 3
Let t(u) be the third derivative of 0*u**3 + 1/12*u**5 + 0*u**4 + 0 + 1/14*u**7 + 0*u - 1/8*u**6 - 5/336*u**8 - 8*u**2. Factor t(l).
-5*l**2*(l - 1)**3
Let c = 7 - 1. Suppose 0 = -c*a + a. Solve -5/2*i**3 + a + 2*i**5 + 3/2*i**4 + 1/2*i - 3/2*i**2 = 0.
-1, 0, 1/4, 1
Let x(m) be the second derivative of m**8/23520 - m**7/2940 + m**5/105 + m**4/2 - 10*m. Let w(s) be the third derivative of x(s). Suppose w(o) = 0. What is o?
-1, 2
Suppose -98 = -4*d + 70. Let p be 172/d + 0 + 56/(-84). Solve -32/7 - 48/7*h - p*h**2 - 4/7*h**3 = 0.
-2
Let y(g) be the first derivative of -4*g**2 - 12*g - 3. Let w be y(-2). Let -1/3*j - 1/3*j**2 + 0 + 1/3*j**w + 1/3*j**3 = 0. What is j?
-1, 0, 1
Let y = 1842/9185 + -1/1837. Let i = 2/179 - -348/895. Let -1/5*w**2 + i*w - y = 0. Calculate w.
1
Let u(a) be the third derivative of -a**7/210 + a**6/40 - a**4/6 - 202*a**2. Determine v, given that u(v) = 0.
-1, 0, 2
Let g = 1762 - 1760. Let -3/5*x**3 + 0 + 0*x**g + 1/5*x**4 + 4/5*x = 0. Calculate x.
-1, 0, 2
Let v(p) = 2*p**3 + 6*p**2 - 8*p + 5. Let k be v(3). Let b = 93 - k. Factor 0 + 0*c**2 + 3/4*c**b - 7/4*c**3 + c.
c*(c - 2)*(c - 1)*(3*c + 2)/4
Let v(l) be the second derivative of 3*l**7/14 + 2*l**6/5 - 6*l**5/5 - 9*l**4/2 - 11*l**3/2 - 3*l**2 + 83*l. Suppose v(u) = 0. Calculate u.
-1, -1/3, 2
Let q(y) = y - 2. Let z(a) = a**2 + 15*a - 14. Let p(v) = 2*q(v) + z(v). Factor p(j).
(j - 1)*(j + 18)
Let i(u) be the first derivative of u**6/3060 + u**5/170 + 4*u**3 + 2. Let v(n) be the third derivative of i(n). Factor v(b).
2*b*(b + 6)/17
Let -316/7*r**2 + 400/7 - 384/7*r + 388/7*r**3 - 4/7*r**5 - 12*r**4 = 0. What is r?
-25, -1, 1, 2
Let w(c) be the first derivative of -c**3/21 + 43*c**2 - 12943*c + 254. Suppose w(s) = 0. Calculate s.
301
Suppose -7229*z**3 + 24 + 37*z**2 + 29*z**2 + 104*z + 7215*z**3 = 0. What is z?
-1, -2/7, 6
Let t(k) = 25*k**2 + 230*k + 2625. Let d(q) = -q**2 + 1. Let c(y) = 20*d(y) + t(y). Factor c(a).
5*(a + 23)**2
Let p = 10035/802 - 5/401. Factor -45/2*v + 5/2*v**3 + p + 15/2*v**2.
5*(v - 1)**2*(v + 5)/2
Let t(c) = 1396*c + 4190. Let g be t(-3). Factor -6/7*h - 2/7*h**g + 0.
-2*h*(h + 3)/7
Let w(p) = -20*p**5 + 49*p**4 - 32*p**3 + 5*p**2 - 1. Let x(g) = g**5 + g**4 + g**3 - g**2 - 1. Let d(a) = w(a) - x(a). Suppose d(h) = 0. What is h?
0, 2/7, 1
Let a(l) be the third derivative of 20*l**2 - 7/90*l**5 - 1/9*l**3 + 0 + 2/9*l**4 + 0*l. Suppose a(h) = 0. Calculate h.
1/7, 1
Let v(l) be the first derivative of -l**5/5 + 43*l**4/12 - 194*l**3/9 + 