) + 17*u(q). Factor b(x).
4*(x + 1)*(12*x + 1)
Let l(f) be the first derivative of -f**6/3 + 426*f**5/5 - 5829*f**4 + 67412*f**3/3 - 33285*f**2 + 22050*f + 1485. Factor l(c).
-2*(c - 105)**2*(c - 1)**3
Let k be (204/(-36))/((-1)/(-3)). Let r(i) = 3*i**2 + 84*i + 81. Let g(q) = -q**2 - 28*q - 27. Let p(d) = k*g(d) - 6*r(d). Solve p(o) = 0.
-27, -1
Suppose -1023*x + 455*x = 0. Factor -6/5*p**2 + 0 - 39/5*p**3 + x*p.
-3*p**2*(13*p + 2)/5
Let t = 124 + -133. Let y be ((-125)/150)/(10/t). Factor -o**2 + 1/4 + y*o.
-(o - 1)*(4*o + 1)/4
Suppose 5*c = -4*m + 12, -4*c + 12 = -m + 3*m. Let u be 3*1/(m/(-8)) - 3. Determine l so that -u - 6*l**2 - 3 + 18*l**2 + 4*l - 3*l**3 - l**3 = 0.
-1, 1, 3
Let 4*f**2 + 23 + 16*f - 14 - 5*f**2 - 8*f = 0. What is f?
-1, 9
Let f(g) = 4429*g + 119585. Let p be f(-27). What is r in -4*r + 11/3 + 1/3*r**p = 0?
1, 11
Suppose 8*n + 6 = 10*n. Solve 7442 + 75*l**2 + 80*l - 51*l**3 + 20*l**5 - 7502 - 15*l**4 - 49*l**n = 0 for l.
-2, -1, 3/4, 1, 2
Let s(o) be the third derivative of 4*o**7/255 - 11*o**6/255 - 15*o**5/34 + 50*o**4/51 + 500*o**3/51 + o**2 + 1831*o. Solve s(t) = 0 for t.
-2, -10/7, 5/2
Let s(p) be the second derivative of p**4/36 + 74*p**3/9 + 49*p**2/2 + 3*p - 853. Factor s(g).
(g + 1)*(g + 147)/3
Let v(r) be the third derivative of 0 + 0*r - 5/6*r**3 - 3/16*r**4 + 1/120*r**5 + 47*r**2. Determine j so that v(j) = 0.
-1, 10
Let l(x) = x**2 - 2*x - 2. Let p(i) be the second derivative of -i**4/2 - 23*i**3/6 - 6*i**2 - 46*i - 1. Let n(g) = -5*l(g) + p(g). Solve n(a) = 0 for a.
-1, -2/11
Let r(d) be the first derivative of -d**3/5 - 27*d**2/2 + 150*d + 1234. Solve r(j) = 0.
-50, 5
Let s = -39 - -44. Suppose 4*d - k - 85 = -2*k, -5*k + s = -d. Factor -2*m**2 - d - 23*m - m + 6*m**3 + 28.
2*(m - 2)*(m + 2)*(3*m - 1)
Let r = -19 - -37. Factor -23 + 34 + 2*h - r*h**2 - 20 + 3*h**4 - 26*h.
3*(h - 3)*(h + 1)**3
Let x(n) be the third derivative of -n**6/30 - n**5/15 + 10*n**4 - 72*n**3 + 1996*n**2. Suppose x(h) = 0. What is h?
-9, 2, 6
Let v(c) be the first derivative of c**4/16 - 28*c**3/3 + 725*c**2/2 + 3364*c + 2410. Factor v(u).
(u - 58)**2*(u + 4)/4
Let x(m) be the third derivative of 3*m**2 + 10 + 2/105*m**7 + 0*m + 1/5*m**5 + 1/6*m**4 + 0*m**3 + 1/10*m**6. Find s such that x(s) = 0.
-1, 0
Factor -1005/2 - 2375/4*f + 15/4*f**3 + 485/2*f**2.
5*(f - 3)*(f + 67)*(3*f + 2)/4
Let v = -149 - -151. Solve 0*o**3 - 15*o**v + 12*o**2 + 4*o**3 - o**3 = 0 for o.
0, 1
Suppose j + 2*r = 4, 5*r + 6 = 5*j + r. Let w(g) be the first derivative of 1/3*g**2 + j*g - 3 - 8/9*g**3. Factor w(q).
-2*(q - 1)*(4*q + 3)/3
Suppose 0 = 3*u - 2*w - 56, 4*w = u - 0*w - 42. Let x(i) be the first derivative of 2*i**2 + 0*i + 14/3*i**3 + u + 7/2*i**4 + 4/5*i**5. Factor x(p).
2*p*(p + 1)*(p + 2)*(2*p + 1)
Suppose -14*c = 7 - 35. Suppose -16 = -4*s, 2*w + s - 200 = -c*s. Factor -45*b**4 + 0*b**5 + 1452*b**3 - 5324*b**2 - w*b**4 + 4*b**5 + 7*b**4.
4*b**2*(b - 11)**3
Factor 4/13*y + 2/13*y**2 - 240/13.
2*(y - 10)*(y + 12)/13
Find g, given that -111702*g**5 + 639*g**4 - 100577*g**2 + 111690*g**5 - 112860*g - 6063*g**3 + 35093*g**2 + 32400 = 0.
-4, -3, 1/4, 30
Let u(l) = -l**5 - l**4 + 4*l**3 + 2*l**2 - l. Let s(o) = 5*o**5 - 15*o**4 - 54*o**3 - 28*o**2 + 3*o. Let c(f) = 2*s(f) + 6*u(f). Find h, given that c(h) = 0.
-1, 0, 11
Find f, given that -197*f + 48*f**2 + 47*f**2 + 129*f**2 - 2*f**3 + 936 - 445*f - 108*f**2 = 0.
3, 52
Let f(z) = z**2 - 87*z - 450. Let l(u) = -5*u**2 + 436*u + 2250. Let s(h) = 22*f(h) + 4*l(h). Suppose s(v) = 0. What is v?
-5, 90
Suppose -3*j + 284 = -3*n + 308, 70 = 5*j + 5*n. Determine c, given that 36/5*c**2 + 0*c + 0 + 24/5*c**j + 4/5*c**4 = 0.
-3, 0
Factor -123/4*r - 3/4*r**2 + 345/2.
-3*(r - 5)*(r + 46)/4
Let a = 624169 + -624166. Find u such that 0 + 0*u + 2/5*u**4 - 114/5*u**2 + 112/5*u**a = 0.
-57, 0, 1
Let q(f) = -f**2 - 21*f + 46. Let m be q(-23). Suppose m = 4*y + 41 - 101. Factor 14*o + 9 + 3*o**2 + y + 3 + 4*o.
3*(o + 3)**2
Let 0 + 435/4*s + 215/2*s**2 - 215/2*s**4 - 110*s**3 + 5/4*s**5 = 0. Calculate s.
-1, 0, 1, 87
Suppose 60*y = 45*y + 19 + 11. Let d(z) be the third derivative of 0 + 1/2*z**4 + 0*z**3 - 22*z**y + 0*z + 1/14*z**7 + 17/40*z**6 + 4/5*z**5. Factor d(v).
3*v*(v + 1)*(v + 2)*(5*v + 2)
Let o(s) be the second derivative of -s**6/10 + 81*s**5/10 - 913*s**4/4 + 2484*s**3 - 12696*s**2 + 1283*s. Factor o(v).
-3*(v - 23)**2*(v - 4)**2
Let x(d) be the first derivative of -21 - 3*d**3 - 1/4*d**4 - 12*d**2 - 6*d. Let n(g) be the first derivative of x(g). Suppose n(v) = 0. Calculate v.
-4, -2
Let d be 72/(28 - 10)*(1208/(-304) + 4). Find o such that -2/19*o**5 + 0*o + 2/19*o**3 + 0 - d*o**2 + 2/19*o**4 = 0.
-1, 0, 1
Suppose 0 = -5*s - 5*x + 45, 5*s + 18 = 3*x + 55. Factor -s*v**3 + 60*v**2 + 6*v**4 - 24*v - 8*v**3 - 18*v**3 - 16.
2*(v - 2)**3*(3*v + 1)
Let l(n) be the first derivative of n**3/6 - 2331*n**2/2 + 5433561*n/2 + 11591. What is i in l(i) = 0?
2331
Let y(p) be the third derivative of -p**5/210 - 496*p**4/21 - 984064*p**3/21 + p**2 + 25*p + 4. Solve y(f) = 0.
-992
Let 0 + 0*q + 12/7*q**2 + 12/7*q**4 + 40/7*q**3 = 0. Calculate q.
-3, -1/3, 0
Let k(l) be the second derivative of -l**6/75 - 11*l**5/25 - 37*l**4/30 + 308*l**3/5 - 1764*l**2/5 + 2871*l. Determine p so that k(p) = 0.
-14, 3
Let b(y) be the first derivative of y**7/84 - y**6/12 + y**5/5 - y**4/6 - 298*y - 220. Let u(r) be the first derivative of b(r). Factor u(j).
j**2*(j - 2)**2*(j - 1)/2
Let n(k) be the third derivative of k**5/140 + 3*k**4/4 - 92*k**3/7 + 993*k**2 + 2*k. Suppose n(d) = 0. Calculate d.
-46, 4
Let r(l) be the first derivative of l**4/36 - 39*l**3 + 41067*l**2/2 - 4804839*l + 1438. Solve r(s) = 0 for s.
351
Suppose -5*b - 42 = 2*x, 4 = -4*x - 0*x. Let q be (-3)/57*(-13)/(-52)*b. Let -q*l**4 - 2/19*l**3 + 2/19*l**2 + 2/19*l + 0 = 0. Calculate l.
-1, 0, 1
Let o be (111/((-3663)/22))/(8/(-27)). What is x in -1/2*x + 3/4*x**4 - 5/2*x**3 + o*x**2 + 0 = 0?
0, 1/3, 1, 2
Let r(g) be the third derivative of g**7/630 + g**6/8 - 71*g**5/90 + 4*g**4/3 - 46*g**2 + 9*g. Factor r(m).
m*(m - 2)*(m - 1)*(m + 48)/3
Determine i so that 282/7*i + 0 + 2/7*i**2 = 0.
-141, 0
Let i(w) be the first derivative of -128*w**2 - 4/3*w**3 - 4096*w + 206. Determine s, given that i(s) = 0.
-32
Let q = 862 + -826. Suppose q*x + 3 = 75. Factor -8/5*i + 6/5*i**x + 0*i**3 - 1/5*i**4 + 3/5.
-(i - 1)**3*(i + 3)/5
Let z = 2564902/9 + -284988. Suppose 4/9*i**2 + z*i - 2/3 - 4/3*i**3 + 2/9*i**4 + 2/9*i**5 = 0. Calculate i.
-3, -1, 1
Suppose 0 = u - 2*d + 9, 4*d - 57 = -5*u - 3*d. Suppose 2/3*r**u + 2/3*r**2 + 2 - 10/3*r = 0. What is r?
-3, 1
Let m(t) be the first derivative of t**5/5 + 3*t**4 + 16*t**3/3 - 26*t - 30. Let g(j) be the first derivative of m(j). Let g(l) = 0. What is l?
-8, -1, 0
Let q(l) be the first derivative of -l**5 + 45*l**4/2 - 195*l**3 + 810*l**2 - 1620*l - 117. Suppose q(w) = 0. Calculate w.
3, 6
Let g be (-2 + 4)/(3 - (-4)/(-2)). Let 295 + 2*y**g + 56 + 41 - 56*y = 0. What is y?
14
Suppose -w**2 + 11 + 338*w + 369*w - 738*w + 91 = 0. Calculate w.
-34, 3
Suppose 2*m + 6 - 54 = 0. Suppose -7*w + m = -w. Let 38*f**5 - 17*f**5 - f**4 - f**w - 20*f**5 = 0. Calculate f.
0, 2
Suppose -7*r + 3370*r + 0 = 1 - 1. Find n, given that 3/4*n**4 + 2*n**3 + 0 + n**2 + r*n = 0.
-2, -2/3, 0
Factor 1/3*y**5 + 586/3*y**2 - 33*y**4 - 2*y**3 + 99 + 263*y.
(y - 99)*(y - 3)*(y + 1)**3/3
Let u be (2/6)/((-8)/48). Let g = 2 - u. Determine w, given that g*w**4 + 4*w**4 - 2*w**3 - 9*w**4 + w**5 = 0.
-1, 0, 2
Let n = -222 - -237. Suppose 15 = 2*f + n. Factor -1/4*c**4 + f + c + 0*c**2 - 3/4*c**3.
-c*(c - 1)*(c + 2)**2/4
Let b = -902 + 898. Let w be b/18 + 1038/297. Factor -2/11*o**3 + 16/11*o**2 + w - 42/11*o.
-2*(o - 3)**2*(o - 2)/11
Let n(o) be the first derivative of -5*o**4/4 + 905*o**3/3 - 20700*o**2 + 40500*o + 2447. Factor n(g).
-5*(g - 90)**2*(g - 1)
Let g(p) be the third derivative of 0*p**4 - 7/3*p**3 + p**2 + 1/540*p**6 + 0*p + 0 + 1/60*p**5. Let m(x) be the first derivative of g(x). Factor m(d).
2*d*(d + 3)/3
Let o(x) = x**3 + 7*x**2 - x - 5. Suppose -4*r + 2*w - 44 = -8, -6 = -2*r - 5*w. Let u be o(r). Factor -6 - 10*d - 3*d**2 + 2*d + 2*d**u - 1.
-(d + 1)*(d + 7)
Let z(a) = 2*a**2 + 801*a - 159186. Let n(j) = -7*j**2 - 3203*j + 636749. Let q(h) = -6*n(h) - 22*z(