 - (35/3)/(-5). Let h(u) be the first derivative of -8 - 1/12*u**3 + 1/2*u**l + 0*u. Factor h(g).
-g*(g - 4)/4
Suppose t - 2 = s, 2*s - 21 = -663*t + 660*t. Let k(o) be the first derivative of -20 - 16*o - 100/3*o**s - 40*o**2. Determine f, given that k(f) = 0.
-2/5
Factor 51*n - n**3 + 2*n - 10*n**2 - 78*n.
-n*(n + 5)**2
Determine p, given that 203 + 229 - 238*p - 53*p**2 - 426 - 27*p**2 = 0.
-3, 1/40
Let o = 196 + -2938/15. Let z be (3 + (-142)/50)/(6/90). Factor 2/3 - 32/15*l + o*l**4 - 16/15*l**3 + z*l**2.
2*(l - 5)*(l - 1)**3/15
Suppose -25/2*l**2 - 3/4*l**3 - 15/2 - 77/4*l = 0. What is l?
-15, -1, -2/3
Let s(u) be the first derivative of u**5/100 + u**4/10 + u**3/10 - u**2 + 65*u - 32. Let o(b) be the first derivative of s(b). Factor o(j).
(j - 1)*(j + 2)*(j + 5)/5
Factor 4/3*g**5 - 4352642136 + 2089701324*g + 321064*g**3 + 3208/3*g**4 + 42663456*g**2.
4*(g - 2)*(g + 201)**4/3
Let r(d) be the second derivative of d**6/45 + 49*d**5/45 + 1063*d**4/54 + 452*d**3/3 + 252*d**2 - d + 303. Suppose r(b) = 0. What is b?
-14, -9, -2/3
Let o(t) = -t + 27. Let n be o(5). Suppose -2*w + n - 8 = 0. Factor -2 - 4*x**2 - 2*x**3 - w - 3 + 20*x - 2*x**3.
-4*(x - 1)**2*(x + 3)
Let y(b) be the second derivative of -b**7/525 - b**6/75 - 2*b**5/75 - 51*b**2 + 8*b + 11. Let n(u) be the first derivative of y(u). Find r such that n(r) = 0.
-2, 0
Let i be ((3 - 3)/2)/(-2) + 16. Factor -26 - i*t - 4*t**2 + 6 + 11 - 3.
-4*(t + 1)*(t + 3)
Let j(q) be the third derivative of q**5/20 + 97*q**4/8 + 615*q**3 - 2*q**2 - 2239. Factor j(y).
3*(y + 15)*(y + 82)
Let a = 55 - 26. Let u = 33 - a. Find q such that -169*q**2 + 3*q**4 - q**u + 18*q**3 - 4*q + 223*q**2 + 58*q = 0.
-3, 0
Let v be (178 - 181)*(7/14)/((-2)/((-40)/(-15))). Let 12/7*s + 2/7*s**v + 16/7 = 0. What is s?
-4, -2
Let a = -1013 - -1029. Suppose a*z = -3*z + 38. Factor 6/5*w - 8/5*w**z + 0 + 2/5*w**3.
2*w*(w - 3)*(w - 1)/5
Let f(w) be the second derivative of -w**8/63840 + w**6/2280 + w**5/570 + 101*w**4/12 - 35*w. Let x(q) be the third derivative of f(q). Factor x(g).
-2*(g - 2)*(g + 1)**2/19
Let f be 1 + -2 - 20/(-14). Suppose 0 = -273*n + 433 - 38 + 151. Find u such that -12/7 - 12/7*u - f*u**n = 0.
-2
Let g(f) be the third derivative of 1 - 1/25*f**5 + 0*f + 2/5*f**3 + 10*f**2 - 3/8*f**4. Determine o so that g(o) = 0.
-4, 1/4
Solve -20*n**3 + 34*n**2 + 30*n**3 - 12*n**3 - 2*n**4 - 72 + 42*n = 0.
-3, 1, 4
Suppose 4*t - 23 = -11. Suppose -2*f - 2*g + 4 = 0, -g + 8 = t*f - 4. What is l in 10*l + 36*l**2 - 30*l**3 + 125*l**4 - 35*l**5 - 35*l**f - 71*l**2 = 0?
-1/2, 0, 2/7, 1
Let q(h) = -3*h + 169. Let m be q(49). Suppose -5*v = -m*w + 24*w + 21, -3*w + 16 = -2*v. Factor -3/7*o**4 + 0*o + 0 + 4/7*o**w - 4/7*o**3.
-o**2*(o + 2)*(3*o - 2)/7
Let k(w) = -2*w - 175. Let z be k(7). Let i be ((-12)/z)/(30/105). Factor i*m**4 - 2/9 + 4/9*m**3 - 4/9*m + 0*m**2.
2*(m - 1)*(m + 1)**3/9
Let f(n) be the first derivative of -n**4/2 + 226*n**3/3 + 116*n**2 - 456*n + 2566. Let f(l) = 0. Calculate l.
-2, 1, 114
Let w(a) be the first derivative of 9/4*a**2 + 62 + 6*a - 1/2*a**3. Factor w(y).
-3*(y - 4)*(y + 1)/2
Let i = 264 - 260. Determine y so that 6*y**4 + y**4 - 4*y**i - 12*y**3 + 12*y**2 = 0.
0, 2
Let z be 20/8 + ((-156)/208)/(6/4). Suppose 2/19*v**3 + 24/19*v**z + 22/19*v + 0 = 0. What is v?
-11, -1, 0
Suppose 8*l + 28*l = -23*l. Let n(a) be the third derivative of 1/270*a**5 + l - 5/27*a**3 + 0*a + 1/27*a**4 - 29*a**2. Factor n(y).
2*(y - 1)*(y + 5)/9
Let x(g) be the first derivative of -5*g**3/24 + 29*g**2/16 + 264. Find r, given that x(r) = 0.
0, 29/5
Let x(g) be the first derivative of 3*g**4/16 + 89*g**3/4 - 69*g**2/2 - 135*g - 1962. Solve x(d) = 0 for d.
-90, -1, 2
Suppose -44*x = -l - 42*x - 5, x = -3*l + 20. Solve -5/2*q + 5/4*q**4 + 15/4*q**3 + 0 - 5/4*q**l - 5/4*q**2 = 0 for q.
-1, 0, 1, 2
Let d(s) be the second derivative of s**4/36 + s**3/9 - 35*s**2/6 + 41*s. Factor d(k).
(k - 5)*(k + 7)/3
Let i(p) be the second derivative of p**5/190 - 1147*p**4/114 - 2297*p**3/57 - 1149*p**2/19 - 1379*p + 2. Factor i(k).
2*(k - 1149)*(k + 1)**2/19
Let d be (16/(-128)*20)/(-3 + 21/12). Factor 3 - 5/3*y**d - y - 1/3*y**3.
-(y - 1)*(y + 3)**2/3
Let s be (-1920)/(-28) + (14 - 62). Suppose s*b + 0 - 6/7*b**2 = 0. What is b?
0, 24
Let s = -4743839/240 - -19766. Let c(v) be the second derivative of 7*v + 1/96*v**4 + 0*v**3 + 0*v**2 + 0 + s*v**6 - 1/80*v**5. Factor c(t).
t**2*(t - 1)**2/8
Suppose -10 = -2*t - 4. Factor -4*s**2 + 0*s**2 - 3*s**3 + s**2 + 4*s**t.
s**2*(s - 3)
Let w be -1 + 260/84 - 24/252. Let o = -36 - -241/6. Factor -8/3*q + o*q**w + 2/3 - 1/6*q**5 - 19/6*q**3 + 7/6*q**4.
-(q - 2)**2*(q - 1)**3/6
Suppose 3*a = 133*i - 128*i - 4, -4*i + 2 = -3*a. Factor -10/9*u**2 + 4/9 - a*u.
-2*(u + 2)*(5*u - 1)/9
Let i(u) be the second derivative of u**4/12 - 995*u**3/18 - 166*u**2/3 + 2934*u. Factor i(w).
(w - 332)*(3*w + 1)/3
Let c be (-6060)/(-4545) - (-2 + (-4)/(-3)). Factor 2/13*w**c + 16/13 + 12/13*w.
2*(w + 2)*(w + 4)/13
Let h(d) = d**3 + d**2 - 1. Let s(y) = 17*y - 288. Let w be s(17). Let l(u) = 2*u**3 + 3*u**2 + 7*u - 9. Let i(z) = w*l(z) - 3*h(z). Factor i(o).
-(o - 2)*(o - 1)*(o + 3)
Let x be (98 - 106) + 101/12. Let c(s) be the third derivative of 5/12*s**4 + 0 + 0*s + 5/2*s**3 - 6*s**2 - x*s**5. Suppose c(m) = 0. Calculate m.
-3/5, 1
Factor 6*o - 30*o + 120 - 20*o**2 - 33*o**2 - 101*o - 2*o**2.
-5*(o + 3)*(11*o - 8)
Let g(r) be the third derivative of 7*r**5/20 - 55*r**4/8 + 41*r**3 + 11029*r**2. Determine t so that g(t) = 0.
2, 41/7
Determine m so that -52*m**4 + 299*m**4 + 321415*m**5 - 321385*m**5 - 284*m**2 - 562*m**3 + 360*m = 0.
-10, -9/10, 0, 2/3, 2
Let l(q) be the third derivative of -q**5/20 - 1021*q**4/28 + 292*q**3/7 + 27*q**2 - 2*q. What is k in l(k) = 0?
-292, 2/7
Let m = -533 + 500. Let n(i) = -96*i**3 + 408*i**2 - 417*i + 138. Let o(l) = 12*l**3 - 51*l**2 + 52*l - 17. Let k(b) = m*o(b) - 4*n(b). Factor k(d).
-3*(d - 3)*(d - 1)*(4*d - 1)
Let w(v) = -674*v**3 + 6*v**2 + 2*v. Let a be w(-1). Suppose 341*h**2 + 340*h**2 - a*h**2 - 27*h + 24 = 0. What is h?
1, 8
Let j be 0/(-8 - -3) + (-4)/6*(-56 - -53). Factor -4/9*t**4 - t + 1/3*t**j + 0 + 8/9*t**3.
-t*(t + 1)*(2*t - 3)**2/9
Let j = -94 - -90. Let l be 4/(-4) + 8 + j + -1. Factor 0 - r - 3*r**2 - l*r**2 + 11*r - 5.
-5*(r - 1)**2
Let l(v) be the second derivative of -v**6/540 - 2*v**5/45 - 5*v**4/12 + v**3/3 - v**2 + 2*v + 80. Let n(m) be the second derivative of l(m). Factor n(a).
-2*(a + 3)*(a + 5)/3
Factor -2/5*m**3 - 512*m + 8192/5 + 136/5*m**2.
-2*(m - 32)**2*(m - 4)/5
Suppose 787*h = 777*h. Let c(n) be the second derivative of h*n**3 + 0*n**2 + 1/190*n**5 + 0 + 2/57*n**4 + 8*n. Factor c(g).
2*g**2*(g + 4)/19
Factor 1/9*j**4 - 34/3*j**3 - 7140*j + 429*j**2 + 44100.
(j - 30)**2*(j - 21)**2/9
Let k = 5/118607 + 666334061/1541891. Factor -212/13*f - k - 2/13*f**2.
-2*(f + 53)**2/13
Let q = 447/277 + -2745/2216. Factor -q*x**2 + 0*x + 0 - 3/8*x**3.
-3*x**2*(x + 1)/8
Suppose 0 = -14*g + 19*g - 30. What is r in -g*r + 9*r**2 + 26*r**3 - 52*r**3 + 23*r**3 = 0?
0, 1, 2
Let d(c) be the first derivative of c**6/540 - c**5/180 - 5*c**4/9 + 44*c**3 + 6. Let g(z) be the third derivative of d(z). Solve g(j) = 0.
-4, 5
Let t be (4 + -3)/(((-1620)/(-144))/45). Find u, given that -12/7*u**3 + 2/7*u**2 + 0 + 12/7*u - 2/7*u**t = 0.
-6, -1, 0, 1
Let y = -231388 + 231390. Solve 2/3*m**y - m - 1/9*m**3 + 4/9 = 0.
1, 4
Let q(r) be the first derivative of r**5/12 - 25*r**4/3 + 1000*r**3/3 + 20*r**2 - 2*r + 48. Let k(j) be the second derivative of q(j). Factor k(a).
5*(a - 20)**2
Find b such that 788*b - 133 - 387*b + b**2 - 413*b = 0.
-7, 19
Let 0 + 2/17*w**4 - 54/17*w**3 - 2/17*w**2 + 54/17*w = 0. Calculate w.
-1, 0, 1, 27
Let c = -45423 + 139762/3. Let z = c + -1161. Factor 5/6*v**4 + 5/3*v**2 - 5/2 + 10/3*v - z*v**3.
5*(v - 3)*(v - 1)**2*(v + 1)/6
Let t(f) be the first derivative of -16*f**2 + 2/3*f**4 - 9 + 24*f - 40/3*f**3 + f**5. Let a(b) be the first derivative of t(b). Factor a(q).
4*(q - 2)*(q + 2)*(5*q + 2)
Suppose -w - 9 = -5*b, 3*w = -4*b + 9*b - 7. Let 3*s**2 - 9*s**2 + 5*s - b*s**3 - 14*s**2 - 23*s = 0. What is s?
-9, -1, 0
Let q be 38/323 + 5160/68. Let r be (q + -79)/((4 - 1)/(-3)). Find m such that -12/5*m**2 + 9/5*m + 3/5*m**r + 0 = 0.
0, 1, 3
Suppose