- -2). Factor -4*j**2 - 8 - 22 - 3*j**v - 6*j + 38*j + 5*j**2.
-2*(j - 15)*(j - 1)
Let f be (-500940)/500500 + (0 - (1 - 2)). Let h = 2283/9100 + f. Factor 0*s**2 + h*s**4 + 0 - 3/4*s**3 + s.
s*(s - 2)**2*(s + 1)/4
Suppose 0 = -2*x - 4*d, 5*x - 5*d = 7*x + 1. Let m(p) be the first derivative of -25*p**x + 10 - 5/3*p**3 - 125*p. Factor m(t).
-5*(t + 5)**2
Let g(r) be the second derivative of -2/15*r**6 + 13/12*r**4 + 2/3*r**3 + 1 + 3*r + 0*r**2 - 13/20*r**5. Factor g(k).
-k*(k - 1)*(k + 4)*(4*k + 1)
What is b in -102 - 24*b**2 + 627/5*b + 3/5*b**3 = 0?
1, 5, 34
Let x(r) be the second derivative of r**6/90 - 73*r**5/60 + 475*r**4/12 - 2975*r**3/18 - 6125*r**2/3 - 89*r + 1. Factor x(c).
(c - 35)**2*(c - 5)*(c + 2)/3
Let r(b) be the first derivative of b**5 - 4455*b**4/4 + 994565*b**3/3 - 981225*b**2/2 - 1980250*b + 7179. Factor r(i).
5*(i - 445)**2*(i - 2)*(i + 1)
Let j = 9203 - 6451. Factor 85184*c + 2752 + 132*c**3 - 5808*c**2 - j - c**4.
-c*(c - 44)**3
Let j be 387/45 + -9 - (-182)/5. Suppose -13*f - j - 8*f**2 + 7*f**2 - f**2 - 5*f = 0. Calculate f.
-6, -3
Let h(i) = -3*i**2 - 17*i - 6. Let j be h(-5). Suppose 14*t - 18*t = -8. Factor 5*c**t + 0 + 0 - c**j - 5*c**5 + 5*c**3 - 4*c**4.
-5*c**2*(c - 1)*(c + 1)**2
Let i(h) be the second derivative of -1/75*h**6 - 7/15*h**3 - 3/10*h**4 - 1/10*h**5 - 2/5*h**2 - 2 + 23*h. Factor i(w).
-2*(w + 1)**3*(w + 2)/5
Let c(w) be the first derivative of -w**6/3 - 72*w**5/5 - 120*w**4 - 896*w**3/3 - 6411. Find y such that c(y) = 0.
-28, -4, 0
Let s(h) be the second derivative of h**7/42 - h**6/6 - 5*h**5/2 - 2160*h. Determine f, given that s(f) = 0.
-5, 0, 10
Factor -6350*l**2 + 66*l**3 - 2222390*l - 61*l**3 + 30260*l**2 + 10341015909 + 9909447011 + 40334930*l.
5*(l + 1594)**3
Let d = 264 - 264. Suppose 4*h - 186 + 170 = d. What is g in 2*g**h - 2/11*g + 18/11*g**3 + 8/11*g**5 + 2/11*g**2 + 0 = 0?
-1, 0, 1/4
Let q = -260 + 288. Let u be (2/q)/(36/63). Factor -5/8*n + u*n**2 + 1/2.
(n - 4)*(n - 1)/8
Let n(s) be the first derivative of s**7/315 - s**5/25 - 4*s**4/45 - s**3/15 - 32*s + 86. Let a(z) be the first derivative of n(z). Factor a(g).
2*g*(g - 3)*(g + 1)**3/15
Suppose -m - 2 = -5. Let w = 822013 + -822011. Suppose -2/5 - 7/5*c + 6/5*c**w + 14/5*c**4 + 5*c**m = 0. What is c?
-1, -2/7, 1/2
Let y be (-1)/6*((-84)/(-10) + 18/(-2)). Let h(r) be the first derivative of 0*r**2 - 8/15*r**3 - 29 + 0*r - y*r**4. Determine w so that h(w) = 0.
-4, 0
Let f(i) be the second derivative of -i**7/105 - 31*i**6/75 - 49*i**5/10 + 67*i**4/30 + 134*i**3 - 360*i**2 - 3372*i. Determine q so that f(q) = 0.
-15, -4, 1, 2
Suppose 15 = -166*d + 171*d. Factor 12*v + 4*v**3 + 2*v**2 + 12 - d*v**4 - 7*v**3 - 9*v**3 - 11*v**2.
-3*(v - 1)*(v + 1)*(v + 2)**2
Let u(k) be the first derivative of -k**6/3 - 46*k**5/5 - 102*k**4 - 576*k**3 - 1728*k**2 - 2592*k + 11563. Factor u(o).
-2*(o + 2)*(o + 3)*(o + 6)**3
Let h(t) = t**3 - 17*t**2 - t + 32. Let d be h(17). Solve 30*y**3 + 8*y**4 - 65 - 3*y**4 + 70 - 10*y**2 - 15*y - d*y**5 = 0 for y.
-1, 1/3, 1
Suppose -5*w + 27 = -3*y + 4*y, -3*y - 14 = -4*w. Let t = w - 17/4. Solve q + t + 1/4*q**2 = 0.
-3, -1
Suppose -32*g = -38*g + 48. Suppose -3*x - g*x = -22. What is c in -25*c**4 + 22*c**x + 15*c**3 + 15*c**4 - 12*c**2 = 0?
-1/2, 0, 2
Factor -1/8*l + 31/2 - 31/2*l**2 + 1/8*l**3.
(l - 124)*(l - 1)*(l + 1)/8
Let l(r) be the second derivative of -4*r**7/105 + 73*r**6/25 + 279*r**5/50 + 28*r**4/15 + 637*r + 3. Determine b so that l(b) = 0.
-1, -1/4, 0, 56
Determine b, given that 0 - 60/7*b - 57/7*b**2 + 6/7*b**3 + 3/7*b**4 = 0.
-5, -1, 0, 4
Let s(b) be the second derivative of 0*b**2 + 5/12*b**4 + 7*b - 4 - 5/3*b**3. Determine v so that s(v) = 0.
0, 2
Suppose t + c = 0, 4*t + 39*c = 40*c - 25. Let p be t*42/(-35) - 3. Let 0 - 3/7*l**4 + 4/7*l**p + 6/7*l + 13/7*l**2 = 0. Calculate l.
-1, -2/3, 0, 3
Let -392*u**4 + 64009 + 348*u + 4*u**5 - 63201 + 856*u - 416*u**2 - 1208*u**3 = 0. What is u?
-2, -1, 1, 101
Suppose -4*o = -2*l - 7*o + 181, 5*o - 365 = -4*l. Factor 405 - 71*i + 23*i**3 - 28*i**3 + l*i**2 - 424*i.
-5*(i - 9)**2*(i - 1)
Let b(a) be the first derivative of a**7/3360 + a**6/480 - a**5/20 + 7*a**4/24 - a**3/3 + 76*a + 132. Let m(n) be the third derivative of b(n). Solve m(l) = 0.
-7, 2
Let w(x) be the second derivative of -92 + x - 3/10*x**4 - 1/50*x**5 + 2/3*x**3 + 0*x**2. Solve w(f) = 0.
-10, 0, 1
Let c(a) be the third derivative of a**7/168 - 5*a**6/24 + a**5/2 + 35*a**4/6 + 79*a**3/3 + 2*a**2 + 6*a. Let s(p) be the first derivative of c(p). Factor s(k).
5*(k - 14)*(k - 2)*(k + 1)
Let p be 120/900 - 28/(-15). Determine j, given that -8513*j - j**2 + 6498 + j**2 + p*j**2 + 8285*j = 0.
57
Factor -30 + 53*i - 62*i + i**3 - 12*i**2 - 34*i.
(i - 15)*(i + 1)*(i + 2)
Let t(z) be the first derivative of 11 + 592*z**2 + z**3 - 105 - 90 - 598*z**2 - 15*z. Determine i, given that t(i) = 0.
-1, 5
Let b = -50/3021 + 9263/12084. Let k(m) = -m**3 - m**2 + m + 1. Let n be k(-1). Determine j so that n*j + b*j**2 - 3 = 0.
-2, 2
Let n = -38 + 50. Let p be ((-30)/(-50))/(n/32). Suppose 0 + 4/5*z**3 - p*z + 4/5*z**2 = 0. What is z?
-2, 0, 1
Let x(a) be the second derivative of a**4/12 - 59*a**3/2 + 346*a**2 + 136*a - 14. Factor x(g).
(g - 173)*(g - 4)
Let x(i) be the third derivative of -1/18*i**6 + 1/8*i**5 + 0*i - 22*i**2 + 0 + 5/24*i**4 + 14/3*i**3. Let d(u) be the first derivative of x(u). Factor d(j).
-5*(j - 1)*(4*j + 1)
Factor -276*s - 113*s**3 - 180*s**2 - 21*s**3 - 13*s**3 - 3*s**4 - 240*s**2.
-3*s*(s + 1)*(s + 2)*(s + 46)
Let l(a) = -5*a - 1. Let p(d) = -11*d - 1. Let g(t) = 13*l(t) - 6*p(t). Let j be g(15). Factor -51*h - 2*h**4 + 47*h + 4*h**3 - j*h**2 + 4*h**4 + 6.
2*(h - 1)**2*(h + 1)*(h + 3)
Let c = -157 + 335. Let g = -178 + c. Let 0*d + g + 7/12*d**4 - 1/3*d**5 - 1/12*d**2 - 1/6*d**3 = 0. What is d?
-1/4, 0, 1
Solve 252/5 + 382/5*k + 2/5*k**3 + 132/5*k**2 = 0.
-63, -2, -1
Suppose -21*n = -29*n. Determine x so that -12*x**3 + 12*x + 4*x**2 + 0*x**4 + 4*x**4 + n - 9 + 1 = 0.
-1, 1, 2
Solve -8*k**2 - 17920*k + 48*k**2 + 17980*k + 5*k**3 = 0.
-6, -2, 0
Suppose 0 = 3*d - 5*q + 2*q - 6, -4*d + 17 = 5*q. Let y be d/9 - (-10)/(-90). Factor 0 + y*r**2 + 2/3*r.
2*r*(r + 3)/9
Let v(x) = 30*x - 117. Let h be v(4). Suppose 6 = -l - 2*d, -10 = l + 5*d - 2*d. Determine s so that l - s**2 + 2*s + 2*s**2 - h*s - 2*s**2 = 0.
-2, 1
Let m be 2/3*(-6)/(-2). Let -2*q - 39 + 0*q + 35 + m*q**2 = 0. What is q?
-1, 2
Let u = 245 - 243. Find t, given that 105*t**3 + 391*t**4 - 1254*t**u + 11*t + 385*t - 115*t**4 - 63*t**5 + 216 = 0.
-2, -2/7, 2/3, 3
Let l be ((-8084)/(9 - 7))/(-3 + 1). Let k = l + -2019. Factor 0 + 12/5*y - 3/5*y**k.
-3*y*(y - 4)/5
Let a be (-24)/(-189)*((-4)/1 - 765/(-102)). Factor -16/9*n**2 + 0 - a*n**3 + 16/9*n + 4/9*n**4.
4*n*(n - 2)*(n - 1)*(n + 2)/9
Let w(j) be the second derivative of j**5/10 - 19*j**4/6 - j**3/3 + 19*j**2 + 213*j + 2. Factor w(c).
2*(c - 19)*(c - 1)*(c + 1)
Determine q so that 36*q + 59*q**3 - 84*q**2 - 10*q**3 - 47*q**3 - 34*q**3 = 0.
-3, 0, 3/8
Let 734*b + 797*b + 921390 - 921828 + 7*b**2 = 0. What is b?
-219, 2/7
Let w = -680971/3 + 226994. Factor -w*x**2 + 4/3 + 16/3*x - 3*x**3.
-(x - 1)*(x + 2)*(9*x + 2)/3
Let w = 1001 + -3001/3. Let j(i) be the first derivative of 0*i + 1/2*i**4 - w*i**3 + 14 + 0*i**2. Factor j(y).
2*y**2*(y - 1)
Let z(m) = -m**2 - 6*m - 3. Let i(j) = -2*j**3 - 47*j**2 - 27*j - 97. Let n be i(-23). Let p be z(n). Solve 4/3*x**4 + 8/3*x**3 - 16/3*x**p - 8/3*x + 4 = 0.
-3, -1, 1
Let y(t) be the first derivative of -2*t**2 + 24 - 1/10*t**5 + 1/2*t**3 + 1/4*t**4 + 2*t. Find i, given that y(i) = 0.
-2, 1, 2
Let b(a) be the second derivative of -a**6/30 - 723*a**5/20 - 481*a**4/4 - 721*a**3/6 + 5504*a. Factor b(r).
-r*(r + 1)**2*(r + 721)
Find x such that 11/4*x**3 + 0 - 3/8*x**4 - 1/8*x**5 - 9*x + 3/2*x**2 = 0.
-6, -2, 0, 2, 3
Let m be (-24)/(-76) + 7350/1995. Let -10/13*p + 4/13 + 2/13*p**5 + 4/13*p**2 + 8/13*p**3 - 8/13*p**m = 0. What is p?
-1, 1, 2
Let z(h) be the second derivative of -1/150*h**5 + 4/5*h**2 + 23/45*h**3 + 57 + 1/9*h**4 - 2*h. Determine j, given that z(j) = 0.
-1, 12
Let y(b) be the second derivative of b**6/40 - b**5/20 - b**4/4 + 63*b**2 + 3*b + 3. Let q(h) be the first derivative of y(h). Let q(r) = 0. Calculate r.
-1, 0, 2
Let f be