**p + 421*m + 59*m - 1125 + 120*m = 0.
15/4
Let w be (3717/(-12390))/((-3)/2). Suppose 6/5 - 2/5*z**4 - w*z**3 + 14/5*z**2 + 19/5*z = 0. Calculate z.
-2, -1, -1/2, 3
Let f = 285/1061 + 11307/5305. Factor -12/5*i + 3/5*i**2 + f.
3*(i - 2)**2/5
Find n such that -1625*n**3 - 415*n**2 - 800 - 721*n**2 + 3*n**5 - n**5 - 34*n**4 + 1273*n**3 - 1568*n = 0.
-2, 25
Let d(k) = -5*k**2 - 19*k - 26. Let c(v) = -3*v**2 - 21*v - 27. Let n(o) = 4*c(o) - 3*d(o). Factor n(h).
3*(h - 10)*(h + 1)
Let h(v) be the third derivative of -v**5/210 + v**4/42 + 8*v**3 - 4*v**2 - 272. Let h(q) = 0. Calculate q.
-12, 14
Let n(b) be the third derivative of b**7/945 - b**6/54 + 19*b**5/270 + 5*b**4/18 - 2*b**2 - 437. Factor n(u).
2*u*(u - 6)*(u - 5)*(u + 1)/9
Let w be ((-2208)/(-96))/23*(-3 + 3 + 2). Solve 2/11*o**w + 56/11 + 32/11*o = 0.
-14, -2
Let g(w) be the third derivative of 1/336*w**8 - 2/105*w**7 + 13*w**2 + 1/60*w**6 + 1/15*w**5 - 1/8*w**4 + 0*w**3 + 0*w + 0. Suppose g(h) = 0. What is h?
-1, 0, 1, 3
Let n(l) be the third derivative of -2*l**7/35 - 117*l**6/70 - 1887*l**5/140 + 289*l**4/28 - 42*l**2 + 4. Factor n(a).
-3*a*(2*a + 17)**2*(7*a - 2)/7
Suppose 5*w = -12 + 22. Factor -9*s**3 - 5*s**3 + 33*s**w - 22*s**2 + 13*s**3 - 20*s - 32.
-(s - 8)*(s - 4)*(s + 1)
Let v(n) be the second derivative of n**7/3360 + n**6/480 - 3*n**5/160 + 5*n**4/96 - 20*n**3 - 24*n + 2. Let o(j) be the second derivative of v(j). Factor o(d).
(d - 1)**2*(d + 5)/4
Find q such that -703*q**3 - 231 - 780*q**3 + 231 - 75*q**4 + 80*q + 1398*q**3 + 75*q**2 + 5*q**5 = 0.
-1, 0, 1, 16
Let r = 513/85 - 4963/935. Factor 10/11*n - r - 2/11*n**2.
-2*(n - 4)*(n - 1)/11
Let n(c) be the second derivative of -c**6/480 - 3*c**5/40 + 19*c**4/96 - 27*c**2/2 - 174*c. Let t(m) be the first derivative of n(m). Factor t(z).
-z*(z - 1)*(z + 19)/4
Suppose 20*q - 87 + 227 = 0. Let r be ((-7)/q - -19)/4. What is g in 1/5*g**r - 4/5*g**4 + 6/5*g**3 - 4/5*g**2 + 0 + 1/5*g = 0?
0, 1
Let p(x) be the first derivative of -x**6/30 + 9*x**5/20 + 11*x**4/12 - 3*x**3/2 - 5*x**2 + 139*x + 213. Let h(b) be the first derivative of p(b). Factor h(a).
-(a - 10)*(a - 1)*(a + 1)**2
Let g = 330508 + -330506. Factor -3/4 + j - 1/4*j**g.
-(j - 3)*(j - 1)/4
Let l(m) = -8*m + 81. Let g be l(11). Let r(t) = -t**2 - 17*t + 1. Let c be r(g). Factor -a**2 - a**2 + 61*a - c*a.
-2*a*(a + 5)
Let w(d) be the second derivative of -d**5/130 - 19*d**4/78 + 47*d**3/13 - 225*d**2/13 - 38*d + 38. Factor w(r).
-2*(r - 3)**2*(r + 25)/13
Let i(p) be the third derivative of -p**5/20 + 25*p**4/2 - 282*p**3 + 2210*p**2. Find k, given that i(k) = 0.
6, 94
Suppose 14/9*p**2 - 4/3 - 2/9*p + 2/9*p**3 - 2/9*p**4 = 0. Calculate p.
-2, -1, 1, 3
Let l be (-1 + 0)/(5/(-121 - -6)). Factor 28*c - 10 + 4*c**2 - l + 9 - 8*c**2.
-4*(c - 6)*(c - 1)
Let x(h) = 27 - 6*h + 8 + 51 - 8*h. Let i be x(6). Factor 4/7 - 8/7*k + 4/7*k**i.
4*(k - 1)**2/7
Let h(d) = -64*d**3 + 1529*d**2 + 5559*d + 1314. Let o(k) = 112*k**3 - 2676*k**2 - 9728*k - 2300. Let w(x) = -16*h(x) - 9*o(x). Factor w(f).
4*(f - 27)*(f + 3)*(4*f + 1)
Let p(t) be the third derivative of t**5/480 - 21*t**4/64 - 67*t**3/12 - 5*t**2 + 2*t + 89. Suppose p(y) = 0. Calculate y.
-4, 67
Factor 9/2*c**3 + 1119/2*c**2 + 0 + 186*c.
3*c*(c + 124)*(3*c + 1)/2
Let h(x) be the third derivative of x**7/11340 - x**6/1080 - x**5/54 + 79*x**4/12 - 8*x**2 + 3. Let n(u) be the second derivative of h(u). Solve n(d) = 0 for d.
-2, 5
Let q be ((-7)/490*-7)/((-2044)/(-6935) + 4/38). Factor -14 - 1/4*m + q*m**2.
(m - 8)*(m + 7)/4
Let q(v) be the first derivative of -2*v**3/57 - 17*v**2/19 + 120*v/19 + 1180. Factor q(f).
-2*(f - 3)*(f + 20)/19
Suppose -4*q - 32 = -2*s, 1433*s = 1441*s + 5*q + 19. Determine v, given that -1/4*v**s - 11/2*v - 21/4 = 0.
-21, -1
Let f(m) be the second derivative of -m**9/52920 + m**8/23520 + m**7/4410 - 13*m**4/3 - m**2 - 4*m + 25. Let l(t) be the third derivative of f(t). Factor l(c).
-2*c**2*(c - 2)*(c + 1)/7
Let s(t) = 30*t**2 - 10*t - 33. Let i(n) = -13*n**2 + 5*n + 15. Let v(j) = 7*i(j) + 3*s(j). Factor v(y).
-(y - 6)*(y + 1)
Let l(s) be the first derivative of -2/3*s**4 + 0*s + 191 - 2/9*s**3 + 2/15*s**5 + 4/3*s**2. Let l(v) = 0. What is v?
-1, 0, 1, 4
Suppose -238*w + 129*w - 60 = -121*w. Let b(j) be the first derivative of 0*j**3 - 34 - 2/5*j + 2/25*j**w + 1/5*j**4 - 2/5*j**2. Let b(n) = 0. Calculate n.
-1, 1
Let j be (15 - (-352)/(-55))/((-12)/(-24)). Factor 0 - 1849/5*t - 1/5*t**3 + j*t**2.
-t*(t - 43)**2/5
Let f(l) = -274*l - 5206. Let m be f(-19). Suppose -4*g + 3*y = 7, -2*y = 5*g - 3 - 17. Factor -1/4*x**g + x + m.
-x*(x - 4)/4
Find f, given that 76/17*f - 76/17*f**3 - 2/17*f**4 + 80/17*f**2 - 78/17 = 0.
-39, -1, 1
Let z = 1462 - 2567. Let i = -1103 - z. Solve 0*w**3 + 0*w + 5/2*w**2 - 1/2*w**4 - i = 0.
-2, -1, 1, 2
Let m be (-44)/55 - 136/(-20). Suppose -16 + m = -5*s. What is b in 2/7*b - 2/7*b**3 + 2/7*b**s - 2/7 = 0?
-1, 1
Let h = 322 + -320. Let r(k) be the first derivative of 2/5*k**3 + 0*k**5 - 10 + 1/10*k**6 + 0*k + 0*k**h - 9/20*k**4. Factor r(y).
3*y**2*(y - 1)**2*(y + 2)/5
Let t(f) be the first derivative of -1/12*f**4 + 46/3*f**2 - 20/9*f**3 + 36 - 32*f. Let t(r) = 0. Calculate r.
-24, 2
Let y(b) be the third derivative of -b**7/840 + b**6/40 - b**5/6 + b**4/2 - 11*b**3/6 - 4*b**2 - 3*b. Let g(r) be the first derivative of y(r). Factor g(w).
-(w - 6)*(w - 2)*(w - 1)
Let y(v) = 17*v**2 + 880*v - 4214. Let z(l) = 8*l**2 + 438*l - 2108. Let g(a) = -6*y(a) + 13*z(a). Factor g(s).
2*(s - 5)*(s + 212)
Let v(r) be the first derivative of -r**4/24 - 13*r**3/9 - 10*r**2 + 642. Factor v(x).
-x*(x + 6)*(x + 20)/6
Let n(q) = -2444*q**2 - 255*q - 1485*q + 20 + 40291*q**2. Let y(z) = 37848*z**2 - 1740*z + 20. Let i(h) = -3*n(h) + 2*y(h). Factor i(s).
-5*(87*s - 2)**2
Let m be (((-2)/12)/(6/(-4)))/(12/216). Suppose 0*v**m + 0*v - 7/2*v**4 - 1/2*v**5 + 0 - 3*v**3 = 0. What is v?
-6, -1, 0
Let o = -615474305/884 + 696238. Let l = o - -1/52. Factor -l*z**5 + 2/17*z + 0 - 4/17*z**2 + 0*z**3 + 4/17*z**4.
-2*z*(z - 1)**3*(z + 1)/17
Suppose -8697*d = -8741*d + 176. Factor 4 + 0*q + 1/4*q**d + 0*q**3 - 2*q**2.
(q - 2)**2*(q + 2)**2/4
Let d(q) be the third derivative of 2*q**7/105 + 11*q**6/30 + 38*q**5/15 + 26*q**4/3 + 16*q**3 - 2600*q**2 - 3. Factor d(j).
4*(j + 1)*(j + 2)**2*(j + 6)
Let m be 12/2 - (-28)/(-6). Let n be ((-24)/(-28))/3 - (-216)/126. Find x, given that -m - 6*x + 10/3*x**n = 0.
-1/5, 2
Let b(j) = -2*j**2 + 13*j - 7. Let d be b(1). Suppose 3*s - 4*w = -9*w - 6, d*s + 4*w = 0. Find m, given that -8/7*m**2 + 6/7*m + 2/7*m**s + 0 = 0.
0, 1, 3
Let b = -2896 + 2898. Factor -b*r + 1/3*r**2 + 5/3.
(r - 5)*(r - 1)/3
Let u(z) be the first derivative of z**4/6 + 4*z**3/3 + 11*z**2/3 + 4*z - 559. Solve u(w) = 0 for w.
-3, -2, -1
Let -704/7 + 592/7*o + 4/7*o**4 - 44/7*o**3 - 48/7*o**2 = 0. Calculate o.
-4, 2, 11
Let z = 376 - 374. Find i such that 80*i - z*i - 14*i - 18*i + 68 - 2*i**2 - 16*i = 0.
-2, 17
Determine l, given that 52*l**2 - 10*l**3 - 914*l + 0 + 193 + 31 + 18*l**2 + 18*l**3 = 0.
-16, 1/4, 7
Solve 0*p**4 + 2*p**5 + 30*p**2 + 4397*p**3 - 88*p - 15*p**4 - 15*p**4 - 4311*p**3 = 0 for p.
-1, 0, 1, 4, 11
Let a(t) be the third derivative of t**7/2940 + t**6/630 - t**5/140 - 59*t**3/3 + 69*t**2. Let p(z) be the first derivative of a(z). Factor p(y).
2*y*(y - 1)*(y + 3)/7
Let o(r) = 5*r**3 + r**2 - 8*r. Let c(u) = -19*u + 4*u**2 - 57*u**3 - u**2 + 69*u**3 + 4*u**2 - 5*u**2. Let k(s) = -2*c(s) + 5*o(s). Factor k(a).
a*(a - 1)*(a + 2)
Let x(w) be the first derivative of -16/3*w**3 - 92 - 19*w**2 + 1/2*w**4 - 20*w. Suppose x(g) = 0. What is g?
-1, 10
Let g = 116 - 114. Let i = -1213 - -1216. Factor 72/5*q + 273/10*q**g + 2 + 49/10*q**i.
(q + 5)*(7*q + 2)**2/10
Let f(c) be the second derivative of 2/3*c**2 + 1/36*c**4 + 0 - 79*c - 5/18*c**3. Factor f(y).
(y - 4)*(y - 1)/3
Let l(i) be the second derivative of -i**4/36 - 5*i**3/9 - 4*i**2 + 19*i - 2. Factor l(k).
-(k + 4)*(k + 6)/3
Let f be (-4)/10 - 26864/(-16560). Let -35/9*s**2 + 25/9*s + f*s**3 + 0 - 1/9*s**4 = 0. What is s?
0, 1, 5
Let d(a) be the first derivative of -20/21*a**3 + 32/7*a**2 + 1/14*a**4 - 79 - 64/7*a. Factor d(o).
2*(o - 4)**2*(o - 2)/7
Let u(o) be the third derivative of o**7/840 - o**6/60 + o**5/16 + o**4/24 - 5*o**3/6 + 2*o**