+ 0*m + 1/90*m**5. Let n(d) = 0. What is d?
-1, 1
Let c(x) be the first derivative of 5*x**3/3 - 345*x**2 - 695*x + 718. Factor c(h).
5*(h - 139)*(h + 1)
Let u(z) be the first derivative of -z**4 + 8*z**2 + 15 + 16*z - 4/3*z**3. Factor u(y).
-4*(y - 2)*(y + 1)*(y + 2)
Suppose -a = 7*y - 2*y - 38, 4*y = 3*a + 19. Let t be (y - 4 - 4)*(-2)/1. Factor -1/3*u**3 - 2/3*u**t + 1/3*u + 2/3.
-(u - 1)*(u + 1)*(u + 2)/3
Let h(t) = -2*t**2 + 23*t + 927. Let b be h(28). Factor 0*d**4 - 2/3*d + 16/9*d**2 + 2/9*d**5 + 0 - 4/3*d**b.
2*d*(d - 1)**3*(d + 3)/9
Let j be -6 - ((-1)/4 + 368/(-64)). Let x(p) be the third derivative of 128/21*p**3 + 0*p - 8/7*p**4 + 4/35*p**5 - 11*p**2 - 1/210*p**6 + j. Factor x(i).
-4*(i - 4)**3/7
Let h(a) be the third derivative of a**7/420 + 19*a**6/480 + a**5/6 - 25*a**4/96 - 513*a**2. Factor h(v).
v*(v + 5)**2*(2*v - 1)/4
Let c(g) be the first derivative of 9*g**4/16 + 133*g**3/12 - 87*g**2/4 + 8*g - 219. What is v in c(v) = 0?
-16, 2/9, 1
Let h(r) = r**4 + 32*r**3 + 72*r**2 - 98*r - 382. Let f(z) = -3*z**4 - 129*z**3 - 288*z**2 + 393*z + 1527. Let o(x) = -2*f(x) - 9*h(x). Factor o(v).
-3*(v - 2)*(v + 4)**3
Let l(v) be the first derivative of -6*v**5/5 - v**4/3 + 26*v**3 - 82*v**2/3 - 16*v + 301. Solve l(m) = 0.
-4, -2/9, 1, 3
Let d(y) be the first derivative of -y**6/840 - y**5/210 + y**4/56 - 8*y**2 - 3. Let q(k) be the second derivative of d(k). Factor q(p).
-p*(p - 1)*(p + 3)/7
Let w = -2/241413 - 2004693542/1207065. Let s = w - -1671. Solve s*j - 6/5 - 24*j**2 + 48/5*j**3 = 0.
1/4, 2
Let -20*y + 94*y + 41*y**2 + 43*y**2 + 94*y - 32 - 16*y = 0. Calculate y.
-2, 4/21
Let w(u) be the second derivative of -1/5*u**3 - 1/10*u**4 + 0*u**2 + 6*u + 0. Factor w(o).
-6*o*(o + 1)/5
Determine z, given that 2/13*z**3 + 90/13*z**2 + 94/13 - 186/13*z = 0.
-47, 1
Suppose 626*d**2 + 2*d**4 + 6593 - 2640*d - 8480 + 5759 - 60*d**3 = 0. What is d?
4, 11
Let r = 4 - 4. Let m = 1319/935 - 2/187. Determine g, given that r + m*g**5 - 2/5*g + 1/5*g**2 + 19/5*g**4 + 3*g**3 = 0.
-1, 0, 2/7
Let p(t) be the third derivative of 1/2520*t**8 + 0*t**4 + 0*t**5 + 8/1575*t**7 + 9*t**2 + 0*t**3 + 4/225*t**6 + 0*t + 0. Let p(b) = 0. Calculate b.
-4, 0
Let i(y) be the first derivative of -1045*y**4/4 - 850*y**3 - 430*y**2 + 120*y + 473. Determine z, given that i(z) = 0.
-2, -6/11, 2/19
Let g = 5241 + -26202/5. Factor 1/5*y**3 + g*y - 1/5 - 3/5*y**2.
(y - 1)**3/5
Suppose -2*f + 24*f = 88. Let d(g) be the third derivative of 0*g**5 + 2*g**f - 1/70*g**7 - 1/10*g**6 + 0 + 8*g**3 + 0*g + g**2. What is h in d(h) = 0?
-2, 2
Let i(q) = 7*q - 143. Let m be i(22). Suppose 9*c = m + 16. Factor -3/2*x**2 + 3/2*x + c.
-3*(x - 2)*(x + 1)/2
Let n(j) = -5*j - 2. Let t be n(-13). Let w = t + -60. Let 4/7 + 2/7*o**w - 4/7*o**2 - 2/7*o = 0. Calculate o.
-1, 1, 2
Let n be ((-112)/(-539))/(18/267). Let g = 80/21 - n. Suppose -2/11*j**2 - 8/11 - g*j = 0. What is j?
-2
Let x(z) = -z**2 + 15*z - 29. Let h be x(14). Let m = 46/3 + h. Factor 1/3 + 0*i - m*i**2.
-(i - 1)*(i + 1)/3
Let y be ((-56)/(-5))/(806/310). Let 24/13*s**2 - y*s - 2/13*s**4 + 32/13 + 2/13*s**3 = 0. Calculate s.
-4, 1, 2
Let l = 767/3080 + 3/3080. Factor 2*o - l*o**2 - 4.
-(o - 4)**2/4
Suppose 3*j + 2*s - 2 = 0, -4*j - 6*s = -4*s - 6. Determine d so that -1 - 2*d - 4*d**2 + j*d + 13 + 6*d = 0.
-1, 3
Determine q so that -17/2*q + 18 - 1/4*q**2 = 0.
-36, 2
Let y(w) be the third derivative of -w**5/60 + w**4/4 + 91*w**3/6 + w**2 - 214. Factor y(p).
-(p - 13)*(p + 7)
Let z(b) be the third derivative of -2/9*b**3 + 0 + 4*b**2 + 0*b + 1/720*b**6 - 1/60*b**5 + 1/12*b**4. Let z(y) = 0. Calculate y.
2
Factor 5 - 25/4*p + 5/4*p**2.
5*(p - 4)*(p - 1)/4
Let c(m) be the second derivative of m**5/20 + m**4/8 - 3*m**3 + 51*m**2/2 + 3*m - 2. Let l(x) be the first derivative of c(x). Suppose l(v) = 0. What is v?
-3, 2
Let w(l) be the first derivative of l**4/24 - l**3/3 - l**2/12 + l + 90. Factor w(f).
(f - 6)*(f - 1)*(f + 1)/6
Suppose 348*n - 48 - 2523/4*n**2 = 0. Calculate n.
8/29
Suppose 4*w = 2*q + 2 + 2, 3*q + w - 15 = 0. What is o in o**2 + 40 + q*o**2 + 10*o - 4*o**2 - 6*o**2 = 0?
-2, 4
Let y(r) be the third derivative of r**8/1344 - r**6/80 + r**5/30 - r**4/32 - 207*r**2. Factor y(u).
u*(u - 1)**3*(u + 3)/4
Let j = 8644 + -8641. Determine c, given that -36*c - 1/3*c**j + 6*c**2 + 72 = 0.
6
Let t(p) be the third derivative of p**8/672 + 29*p**7/840 + 11*p**6/48 + p**5/12 - 7*p**4/6 - 49*p**3/24 - 38*p**2. Solve t(l) = 0.
-7, -1, -1/2, 1
Let s(v) = -4*v**3 + 8*v**2 + 31*v - 8. Let n(b) = -b**2 + b. Let u(q) = -2*n(q) + 2*s(q). Factor u(h).
-2*(h - 4)*(h + 2)*(4*h - 1)
Factor 0 + 21/2*o - 3/2*o**2.
-3*o*(o - 7)/2
Suppose 17 = 26*q - 31 - 56. Solve 6*h + 9/2*h**3 - 27/2*h**2 + 15/2*h**q - 9/2*h**5 + 0 = 0.
-4/3, 0, 1
Let j be -12*(-8)/1440*(1 - 34/(-6)). Factor -j*d**2 + 4/3 - 8/9*d.
-4*(d - 1)*(d + 3)/9
Let w(a) be the third derivative of a**7/168 - a**5/24 - 7*a**3/6 - 15*a**2. Let n(q) be the first derivative of w(q). Factor n(m).
5*m*(m - 1)*(m + 1)
Suppose -u - 3*d = -3, 0*u - 5 = -u - d. Factor -2*b**2 + 12*b**3 - u*b + 2*b - 10*b**3.
2*b*(b - 2)*(b + 1)
Let l(q) be the second derivative of 0 + 0*q**2 - 49*q - 4/33*q**4 - 4/33*q**3 + 1/22*q**5. Find g such that l(g) = 0.
-2/5, 0, 2
Let j = 6005/4506 + 1/1502. Factor 1/9*c**2 - 8/9*c + j.
(c - 6)*(c - 2)/9
Determine g, given that 8 + 3*g**2 + 2*g**2 - 5*g**2 + 2*g**2 - g - 9*g = 0.
1, 4
Let g(u) be the first derivative of 357*u**5/5 + 66*u**4 - 29*u**3 + 3*u**2 + 161. Suppose g(h) = 0. Calculate h.
-1, 0, 2/17, 1/7
Let b(j) be the second derivative of j**6/45 + 13*j**5/30 + 16*j**4/9 + 20*j**3/9 - 376*j. Suppose b(p) = 0. What is p?
-10, -2, -1, 0
Let i = -13419 - -26841/2. Factor 3/4*n**2 + 3/4*n - i.
3*(n - 1)*(n + 2)/4
Suppose 385 = -6*c + 403. Let w(y) be the first derivative of 4 + 2/3*y**2 - 2/3*y - 2/9*y**c. Factor w(k).
-2*(k - 1)**2/3
Let r(t) be the third derivative of -1/48*t**6 - 1/112*t**7 + 4*t - 1/48*t**5 + 2*t**2 - 1/672*t**8 + 1/48*t**3 + 0*t**4 + 0. Suppose r(w) = 0. Calculate w.
-1, 1/4
Determine c so that 0 - 5/4*c + 1/4*c**5 - 1/2*c**4 - 7/2*c**2 - 3*c**3 = 0.
-1, 0, 5
Let a(q) = 5*q**4 - 15*q**3 + 4*q**2 - 3. Let g(c) = 5*c**4 - 15*c**3 + 6*c**2 - 2. Let x(s) = -2*a(s) + 3*g(s). Solve x(l) = 0 for l.
0, 1, 2
Let l = 2621/18 + -291/2. Let t(n) be the third derivative of 1/45*n**5 - l*n**3 + 3*n**2 - 1/120*n**6 + 1/72*n**4 + 0*n + 0. Let t(a) = 0. Calculate a.
-2/3, 1
Let l = -1/4028 - -8061/20140. What is m in 2/5*m**2 + 0 - l*m = 0?
0, 1
Let h(d) be the third derivative of -1/4*d**4 + 0*d + 0 + 0*d**3 - 7/20*d**5 - 1/112*d**8 - 12*d**2 - 9/40*d**6 - 1/14*d**7. Determine x, given that h(x) = 0.
-2, -1, 0
Let j(i) be the first derivative of 0*i + 3/16*i**4 + 3/8*i**2 + 1/2*i**3 - 34. What is b in j(b) = 0?
-1, 0
Factor 3/4 + 11/4*x**2 + 5*x - 3/2*x**3.
-(x - 3)*(x + 1)*(6*x + 1)/4
Let u(m) be the third derivative of 0 + 1/15*m**3 + 1/300*m**6 + 0*m - 1/60*m**4 - 39*m**2 - 1/150*m**5. Factor u(t).
2*(t - 1)**2*(t + 1)/5
Let h(r) be the third derivative of r**7/1575 - r**6/450 - 2*r**5/225 + 2*r**4/45 + 359*r**2. Factor h(f).
2*f*(f - 2)**2*(f + 2)/15
Let v(q) = 3*q**2 + 12*q - 16. Let l be v(-7). Let n = l - 281/6. Let -n + 5/6*f - 2/3*f**2 = 0. What is f?
1/4, 1
Let m(g) be the first derivative of 23 - 1/9*g**4 + 2/45*g**5 + 1/9*g**2 + 1/27*g**6 + 2/9*g - 4/27*g**3. Factor m(s).
2*(s - 1)**2*(s + 1)**3/9
Let r(f) be the second derivative of f**4/48 + 25*f**3/4 + 5625*f**2/8 + f + 236. Factor r(j).
(j + 75)**2/4
Let l(d) = 5*d**2 + 955*d - 940. Let h(t) = -t**2 - 478*t + 471. Let k(o) = -5*h(o) - 2*l(o). What is p in k(p) = 0?
1, 95
Let z(b) be the second derivative of 7*b**5/40 + 19*b**4/8 - 55*b**3/12 - 9*b**2/4 - 2*b + 76. Suppose z(p) = 0. Calculate p.
-9, -1/7, 1
Let f(i) = 4*i**3 + i**2 + 3*i. Let u be 3/5 - 224/40. Let r(m) = -7*m**3 - m**2 - 5*m. Let a(n) = u*f(n) - 3*r(n). Let a(k) = 0. Calculate k.
0, 2
Let u(i) = 2*i**3 + i**2 + 2. Let y(r) = 5*r**4 - 107*r**3 + 384*r**2 + 700*r - 1012. Let c(j) = 6*u(j) + y(j). Let c(s) = 0. Calculate s.
-2, 1, 10
Suppose -125*j + 132*j = 0. Let b(n) be the third derivative of j*n - 2/3*n**3 - 1/60*n**5 + 6*n**2 + 1/6*n**4 + 0. Factor b(f).
-(f - 2)**2
Let t = -1087 - -1099. Let m(k) be the second derivativ