 = 45*r**3 + 4870*r**2 + 11085*r + 2350. Let i(l) = l**3 + l**2 + 11*l - 2. Let a(q) = -25*i(q) + v(q). Determine b, given that a(b) = 0.
-240, -2, -1/4
Let w(s) be the first derivative of s**4/4 + 19*s**3/3 - s**2/2 - 16*s - 9. Let d be w(-19). Factor 11*l**4 + 7*l**4 - 10*l**4 - 20*l**d + 8*l**2.
4*l**2*(l - 2)*(2*l - 1)
Let l(o) be the second derivative of 127*o + o**4 + 2/5*o**5 + 0 + 0*o**2 - 2/5*o**6 - 4/3*o**3. Factor l(a).
-4*a*(a - 1)*(a + 1)*(3*a - 2)
Let w be (-17 - (-80)/10) + (7 - -4). Let -1/2*i**2 + 2*i - 1/2*i**3 + w = 0. What is i?
-2, -1, 2
Suppose 1532*d - 764*d = 763*d. Determine x so that 8/7*x**2 + 4/7*x**5 + 0*x**3 - 4/7*x + d - 8/7*x**4 = 0.
-1, 0, 1
Let u(w) be the first derivative of -1/4*w**4 + 302 + 0*w**3 + 1/2*w**2 + 0*w. Factor u(r).
-r*(r - 1)*(r + 1)
Let m be (-1248)/(-11856) + 11/(-1254)*3916/(-3). Suppose -14/3*u**2 - 14/3 - m*u - 4/9*u**3 = 0. What is u?
-7, -3, -1/2
Solve 1440/7*q + 3200/7*q**2 + 162/7 = 0.
-9/40
Suppose 270 = -k + 4*a, 0*a + 1350 = -5*k + 2*a. Let c = k + 272. Solve -22/7*q + 12/7 - 4/7*q**c = 0.
-6, 1/2
Let g be 12/78 - 44/(-52). Let k be (0 + g*(0 + -2))/(-1). Suppose -19*z**k + 2*z**3 + 34*z**2 + 10*z + 3*z**3 + 0*z = 0. What is z?
-2, -1, 0
Suppose -5*r + 8*r - 30 = -3*d, -4*d + 88 = -4*r. Let i(a) be the first derivative of 0*a**3 + 8/45*a**5 - 2/9*a**4 + 0*a**2 + 0*a - 1/27*a**6 - d. Factor i(t).
-2*t**3*(t - 2)**2/9
Let q = 565/3399 + 1/2266. Let w(i) be the third derivative of 0 + 0*i + q*i**3 + 1/12*i**4 - 1/60*i**6 - 12*i**2 - 1/210*i**7 + 0*i**5. Factor w(s).
-(s - 1)*(s + 1)**3
Let v(f) = -f**2 - f + 4. Let u(x) = -415*x - 820. Let r(h) = -u(h) + 5*v(h). Factor r(k).
-5*(k - 84)*(k + 2)
Factor 4/9*b**2 + 12728/9*b - 4244/3.
4*(b - 1)*(b + 3183)/9
Factor 0*g - 2/3*g**5 - 2*g**3 + 6*g**2 - 10/3*g**4 + 0.
-2*g**2*(g - 1)*(g + 3)**2/3
Let p(s) be the first derivative of s**6/45 - 26*s**5/75 - s**4/30 + 26*s**3/45 - 838. Let p(f) = 0. What is f?
-1, 0, 1, 13
Let y(f) be the first derivative of 5/3*f**3 + 25/2*f**2 + 30*f + 65. Suppose y(i) = 0. Calculate i.
-3, -2
Let a(x) be the second derivative of 5*x**4/12 - 485*x**3/6 + 475*x**2 - 14071*x. Factor a(r).
5*(r - 95)*(r - 2)
Let h be 585/675 - 3/(-10). Let c(t) be the first derivative of 5/9*t**3 + t + 14 + 1/12*t**4 + h*t**2. Factor c(s).
(s + 1)**2*(s + 3)/3
Let q be (334/1670)/((-4)/(-14)*(-21)/(-60)). Find y such that 2*y**q + 10/3*y - 10/3*y**3 + 2/3*y**4 - 8/3 = 0.
-1, 1, 4
Let -5*p**2 - 7119739 + 10*p**2 + 28040*p + 46431819 = 0. Calculate p.
-2804
Suppose -480 = -3*v + 3*m + 342, 0 = -5*v + 4*m + 1365. Suppose 696 = 7*l + v. Factor -3*c**3 + l*c**2 - 57*c**2 + 10*c**4 + 17*c**3.
2*c**2*(c + 1)*(5*c + 2)
Let u(l) be the first derivative of l**4/6 - 46*l**3/27 - 35*l**2/9 - 2*l - 2896. Factor u(m).
2*(m - 9)*(m + 1)*(3*m + 1)/9
Let y(z) be the first derivative of -15*z**2 - 36*z - 57 + 23/12*z**3 - 1/16*z**4. Determine d, given that y(d) = 0.
-1, 12
Let d(s) = -688*s + 13763. Let l be d(20). Factor -1/4*h**l + 1/4*h + 7/4*h**2 - 7/4.
-(h - 7)*(h - 1)*(h + 1)/4
Let d(h) = 4*h**4 - 166*h**3 + 1020*h**2 - 1552*h + 704. Let m(i) = 8*i**4 - 331*i**3 + 2038*i**2 - 3100*i + 1410. Let p(v) = -5*d(v) + 2*m(v). Factor p(o).
-4*(o - 35)*(o - 5)*(o - 1)**2
Let l(a) be the first derivative of a**4/6 + a**3 + 2*a**2 - 170*a + 40. Let c(j) be the first derivative of l(j). Find o, given that c(o) = 0.
-2, -1
Let q(c) be the third derivative of -c**5/80 - 31*c**4/4 - 1922*c**3 + 1043*c**2. Solve q(i) = 0 for i.
-124
Let k(a) = -3*a**4 - 9*a**3 + 24*a**2 + 78*a - 6. Let g be ((-6)/72)/((-2)/24). Let h(w) = -w**2 + w - 1. Let x(p) = g*k(p) - 6*h(p). Factor x(d).
-3*d*(d - 3)*(d + 2)*(d + 4)
Find a, given that -95/2*a**4 - 3185/2*a**2 - 90 + 3585/2*a + 955/2*a**3 = 0.
1/19, 3, 4
Suppose -836*a - 72*a**2 + 36*a**3 + 209*a**4 - 726 + 193*a**4 - 404*a**4 = 0. Calculate a.
-3, -1, 11
Let x(l) = -14*l + 173. Let v = -281 - -293. Let f be x(v). What is c in f*c**2 + 35/3*c + 10/3 = 0?
-2, -1/3
Let z(i) be the second derivative of -i**6/135 - 491*i**5/45 - 80687*i**4/18 - 481180*i**3/27 - 240100*i**2/9 + 2*i - 805. Factor z(n).
-2*(n + 1)**2*(n + 490)**2/9
Let x(b) be the second derivative of -b**4/24 + 23*b**3/6 - 529*b**2/4 - 15*b + 4. Factor x(y).
-(y - 23)**2/2
Let o(v) be the first derivative of -v**7/1365 + v**6/468 - v**5/780 - 85*v**3/3 + 2*v - 52. Let k(j) be the third derivative of o(j). Solve k(g) = 0 for g.
0, 1/4, 1
Solve 142/9*x - 160 + 2/9*x**2 = 0.
-80, 9
Let z(b) = -2*b**2 + 640*b. Let k(y) = y**2 - 4*y. Let a(u) = -6*k(u) - z(u). Factor a(n).
-4*n*(n + 154)
Let u(r) = -2*r**2 + 135*r - 337. Let m(w) = -3*w**2 + 125*w - 338. Let c(x) = -3*m(x) + 2*u(x). Factor c(z).
5*(z - 17)*(z - 4)
Factor -1/2*q**2 + 519/2*q + 0.
-q*(q - 519)/2
Let f be 1240613/(-8107) + 156 - (-2)/67. Factor 96*b**2 + 73728 - 4608*b - 2/3*b**f.
-2*(b - 48)**3/3
Solve -106*x**3 - 11*x**3 - 127*x + 484*x + 234 + 2*x**4 + 9*x**2 - 2*x**4 - 3*x**4 = 0 for x.
-39, -1, 2
Let y(d) be the second derivative of 5*d**4/12 - 125*d**3/6 + 250*d**2 - 7036*d. Factor y(h).
5*(h - 20)*(h - 5)
Let g be (-17)/6*-4*(-2592)/(-3672) - 2*4. Factor 18/13*y + g - 2/13*y**3 - 16/13*y**2.
-2*y*(y - 1)*(y + 9)/13
Let s(j) be the first derivative of j**8/560 - j**7/140 + j**6/120 - 17*j**3/3 - 45. Let h(z) be the third derivative of s(z). Solve h(r) = 0.
0, 1
Let z be 39/((-858)/176) - (-136)/3. Factor 4/3*p**4 - z*p - 8/3*p**3 - 76/3*p**2 - 16.
4*(p - 6)*(p + 1)**2*(p + 2)/3
Let v be (-14 - -10)*1/(-84). Let f(u) be the first derivative of -25/7*u + 3 + 5/7*u**2 - v*u**3. Factor f(w).
-(w - 5)**2/7
Factor 60*o - 7*o**3 - 300 - 9*o**2 + 6*o**3 + 4*o**3 + 36*o**2 + 12*o**2.
3*(o - 2)*(o + 5)*(o + 10)
Let d = 988 + -975. Suppose 29*j = d*j + 32. Find l, given that -2/5*l - 92/5*l**4 + 8/5*l**j + 48/5*l**5 + 38/5*l**3 + 0 = 0.
-1/4, 0, 1/6, 1
Let w be (-16)/(-12) + (1 - 1). Let r = 1019015 + -1019013. Determine o, given that 8/3*o**3 + 2/3*o**5 - 4/3*o**r - 10/3*o - w + 8/3*o**4 = 0.
-2, -1, 1
Let p be 4 + -1 - 2 - -1. Let -6 + 9*k - 35*k**2 - 3*k**3 - 2*k - 3*k + 41*k**p - k = 0. What is k?
-1, 1, 2
Let k(p) be the first derivative of 1/3*p**3 + 7/2*p**2 + 10*p + 70. Factor k(c).
(c + 2)*(c + 5)
Determine v, given that 324/17 + 326/17*v + 2/17*v**2 = 0.
-162, -1
Let d(w) be the second derivative of 2*w**6/15 + 9*w**5/5 + 13*w**4/3 - 6*w**3 - 28*w**2 + 3680*w. Suppose d(l) = 0. What is l?
-7, -2, -1, 1
Let y(b) be the third derivative of b**6/1260 + b**5/42 + 25*b**4/84 + 13*b**3/6 + b**2 + 60. Let x(m) be the first derivative of y(m). Solve x(r) = 0.
-5
Solve 39*z**2 - 213*z + z**3 + 551*z - 232*z - 146*z**2 = 0 for z.
0, 1, 106
Let u = -502379/20 + 25119. Let m(t) be the third derivative of -3/4*t**4 + 5/2*t**3 + 0 + 0*t - 30*t**2 + u*t**5. Factor m(d).
3*(d - 5)*(d - 1)
Let p be 3/((-6)/(-8 + 2)) - -1. Suppose -p*c + 12 = 0, 10*k - 4*c + 2 = 5*k. Solve -28/9 - 10/9*f**k + 74/9*f = 0 for f.
2/5, 7
Let f(h) = h**3 + h**2 + 9*h + 33. Let c be f(-8). Let g = c + 975/2. Factor -1 - 1/2*t + g*t**2.
(t - 2)*(t + 1)/2
Let r = -37180 - -37182. Let h(n) be the third derivative of 0*n**3 + 1/840*n**7 + 0 + 1/24*n**4 - 1/60*n**5 - 43*n**r - 1/480*n**6 + 0*n. Factor h(o).
o*(o - 2)*(o - 1)*(o + 2)/4
Let v(n) be the third derivative of -1/315*n**7 - 1/180*n**6 + 0*n**3 - 34 + 1/18*n**5 - 1/12*n**4 + 0*n - 2*n**2. Factor v(l).
-2*l*(l - 1)**2*(l + 3)/3
Let o be (3 - (-46)/(-12))/(222/(-9) + 19 + 4). Factor -2*r**2 + 0*r - 3/2*r**3 + o*r**4 + 0.
r**2*(r - 4)*(r + 1)/2
Find r, given that 26/3*r**3 + 1/3*r**4 - 28*r**2 + 24*r + 0 - 1/3*r**5 = 0.
-6, 0, 2, 3
Let k = -689 + 710. Let c be 6/(-16) + k/24. Suppose c*s**2 + 2 + 5/2*s = 0. What is s?
-4, -1
Let b = 25713377164/1795 + -14325000. Let n = -2/359 + b. Determine g so that 12*g**2 - 27/5*g**3 + n - 39/5*g = 0.
2/9, 1
Let q(w) = 21*w**3 + 1953*w**2 + 44978*w + 12686. Let t(l) = -3*l**2 + 2*l + 2. Let a(o) = -q(o) - 5*t(o). Factor a(m).
-3*(m + 46)**2*(7*m + 2)
Let c(m) be the first derivative of -185 + 1/3*m**3 + 5/6*m - 31/12*m**2. Factor c(z).
(z - 5)*(6*z - 1)/6
Let u(h) be the first derivative of -5/84*h**4 + 0*h**3 + 0*h**2 - 6*h - 2 + 1/140*h**5. Let z(n) be the first derivative of u(n). Factor z(g).
g**2*(g - 5)/7
Let j(q) be the first derivative