3 - 44*o**3 + 136*o - 4*o**4 - 92*o**2 - 36*o**2 + 132 - 29*o**3 = 0. What is o?
-33, -1, 1
Suppose 0 = -4*v + 136*l - 141*l + 42, -4*v + 30 = 3*l. Factor -5/6*k**v - 175/6*k - 125/6 - 55/6*k**2.
-5*(k + 1)*(k + 5)**2/6
Factor 110*n**3 + 50*n - 37*n - 18*n - 105*n**2.
5*n*(n - 1)*(22*n + 1)
Let j(h) be the second derivative of 2/45*h**5 + 0*h**2 + 0*h**4 + 0 + 1/27*h**7 + 0*h**3 - 16/135*h**6 - 19*h. Let j(t) = 0. What is t?
0, 2/7, 2
Let y(c) be the first derivative of 2*c**2 + 7 - 7/10*c**5 - 1/5*c**6 - 1/2*c**4 + c**3 - 9*c. Let f(z) be the first derivative of y(z). Factor f(i).
-2*(i + 1)**3*(3*i - 2)
Let t = -5 + 4. Let x(q) = -9*q**3 - q**2 - 2*q - 1. Let o be x(t). Factor -2*f + 3*f**5 - 5*f**3 - f**5 + 5*f**5 + o*f**4 - 9*f**2.
f*(f - 1)*(f + 1)**2*(7*f + 2)
Let u(n) be the third derivative of -1/120*n**6 - 3/2*n**3 - 1/8*n**4 + 0*n + 0 + 1/12*n**5 + 11*n**2. Let u(y) = 0. Calculate y.
-1, 3
Let q be (9/(-15))/(20/(-25)). Let b be (-3 - 172/(-48))*(-36)/(-56). Factor b + 0*i**3 + 3/8*i**4 + 0*i - q*i**2.
3*(i - 1)**2*(i + 1)**2/8
Find l, given that -9/2*l**5 + 0 - 6*l + 3*l**4 - 12*l**2 + 39/2*l**3 = 0.
-2, -1/3, 0, 1, 2
Suppose 5*u - f + 5 = 0, 0*f + 3 = -3*u - 5*f. Let v be 6 - (u - (0 - 4)). Factor 1/4*c**2 - 1/4 - 1/4*c**v + 1/4*c.
-(c - 1)**2*(c + 1)/4
Let c(w) = 2*w**2 - 145*w + 213. Let b be c(71). Factor b + 16/7*u + 4/7*u**2.
4*u*(u + 4)/7
Let i(p) be the second derivative of p**9/13608 - 13*p**8/7560 + 4*p**7/315 - p**6/45 - 5*p**3/2 - 33*p. Let x(r) be the second derivative of i(r). Factor x(b).
2*b**2*(b - 6)**2*(b - 1)/9
Let w(o) be the first derivative of -2*o**5/35 - 5*o**4/14 + 64*o**3/21 - 36*o**2/7 - 148. What is i in w(i) = 0?
-9, 0, 2
Let l(r) = 41*r - 367. Let q be l(9). Let b(g) be the first derivative of 0*g - 2/27*g**3 + 2/45*g**5 - 1/18*g**4 + q + 1/9*g**2. Let b(i) = 0. Calculate i.
-1, 0, 1
Let y(r) = 7*r**4 + 2*r**2 + 8*r - 1. Let x(l) be the second derivative of l**6/30 + l**3/6 - 8*l. Let v(g) = 24*x(g) - 3*y(g). Solve v(k) = 0 for k.
-1, 1
Factor 170 + 275*u + u**4 - 98 - 87*u + 164*u**2 + 52*u**3 + 3*u**4.
4*(u + 1)**2*(u + 2)*(u + 9)
Let s be 30/(-20)*(28/(-6) - -2). Solve 7*f**3 + 2*f**3 - 2*f**s - 5*f**3 - 2*f**2 = 0.
0, 1
Solve -1/7*i**2 + 1/7*i**3 - 30/7*i + 0 = 0 for i.
-5, 0, 6
Suppose -5*y - 84 = -4*x - 233, 3*y - 87 = 3*x. Let s be 1/3 + 121/y. Factor -2*p**2 - p**s - 3*p**2 - p - 4*p**3 - p.
-p*(p + 1)**2*(p + 2)
Let n(o) = o**3 + o**2 - o - 1. Let l(w) = w**3 + 4*w**2 + 5*w + 2. Suppose 0 = u + 2*u + 3. Let j(g) = u*l(g) - 2*n(g). Suppose j(x) = 0. What is x?
-1, 0
Suppose -54 - 1648*v**3 - 8*v**4 + 8*v**4 + 75*v**2 - 9*v**4 + 1465*v**3 + 183*v - 12*v**4 = 0. What is v?
-9, -1, 2/7, 1
Let b(g) = -2*g**2 - 2. Let d be b(5). Let a = -20 - d. Factor -2*w + 32*w**2 - 4 + 16*w**3 + 0*w - 10*w - a.
4*(w - 1)*(2*w + 3)**2
Let h(w) = -33*w**2 - 219*w + 21. Let x(d) = -8*d**2 - 55*d + 5. Let i(p) = 5*h(p) - 21*x(p). Factor i(j).
3*j*(j + 20)
Let k(r) be the second derivative of -r**8/2520 + r**7/378 - r**6/135 + r**5/90 + r**4/3 - 19*r. Let h(v) be the third derivative of k(v). Solve h(z) = 0 for z.
1/2, 1
Let a be 2/(-6) + (-96)/(-27) + -3. Solve 0*b + a*b**3 + 2/9*b**2 + 0 = 0 for b.
-1, 0
Suppose 5*v = g - 19, 3*g = -v + 6*v + 17. Let b(q) = -q - 2. Let w be b(v). Factor 0*s**2 + 15*s - 16*s - 3*s**2 + 4*s**w.
s*(s - 1)
Suppose -4 - 8 = -4*x. Determine k so that 5*k**2 - 24*k**x + 2*k + 25*k**5 + 3*k**3 + 15*k**2 - 6*k - 20*k**4 = 0.
-1, 0, 2/5, 1
Let j(v) be the first derivative of -v**6/1080 + v**5/180 - 4*v**3 + 5. Let i(u) be the third derivative of j(u). What is n in i(n) = 0?
0, 2
Let k(r) = r - 6 - 4*r**2 + r**3 - r + 0*r + r. Let p(q) = q**3 - 3*q**2 + q - 5. Let t(y) = -5*k(y) + 6*p(y). Factor t(x).
x*(x + 1)**2
Let j(o) be the first derivative of -7*o**6/6 + 9*o**5/4 - 5*o**4/6 + 9*o - 11. Let c(h) be the first derivative of j(h). Factor c(q).
-5*q**2*(q - 1)*(7*q - 2)
Suppose 3*r + 4*d = 385, 2*r = -r + 3*d + 399. Let s = 133 - r. Suppose -4/7*t**s - 2*t + 2*t**3 + 4/7 = 0. Calculate t.
-1, 2/7, 1
Let c(n) be the first derivative of 8*n**2 + 8 - 6*n**2 - n**3 - 2*n**2. Factor c(v).
-3*v**2
Suppose -7*o - 61 = -96. Let h(g) be the third derivative of 0*g + 2*g**2 - 1/480*g**6 + 0 + 1/8*g**3 + 1/96*g**4 - 1/80*g**o. Factor h(s).
-(s - 1)*(s + 1)*(s + 3)/4
Suppose -27*x + 4 = -3*o - 23*x, 0 = -o - 5*x + 5. Factor 16/3*g - 4*g**3 - 16/3*g**2 + o.
-4*g*(g + 2)*(3*g - 2)/3
Let y(a) be the first derivative of a**5/40 - 11*a**4/72 + a**3/3 - a**2/3 + 3*a + 7. Let g(t) be the first derivative of y(t). Factor g(p).
(p - 2)*(p - 1)*(3*p - 2)/6
Determine c, given that -2/13*c**4 - 10/13*c**3 + 0 + 0*c - 12/13*c**2 = 0.
-3, -2, 0
Suppose -46*a = -51*a. Let f(c) be the first derivative of 1/3*c**2 + a*c**3 - 1/6*c**4 - 5 + 0*c. Find i such that f(i) = 0.
-1, 0, 1
Let i(c) be the second derivative of -2*c**7/7 - 22*c**6/15 + 3*c**5/5 + 9*c**4 - 8*c**3/3 - 24*c**2 + 8*c - 2. Determine s so that i(s) = 0.
-3, -2, -2/3, 1
Let d = 231 + 18. Let p = 252 - d. Factor 8/11*g - 2/11*g**p + 0 + 0*g**2.
-2*g*(g - 2)*(g + 2)/11
Solve 0 + 4/3*v**5 + 92/3*v**3 - 12*v**4 + 0*v - 20*v**2 = 0.
0, 1, 3, 5
Suppose 0 = -2*o + 2*i, -2*o + 3*o = 3*i + 4. Let v(h) = h**2 - 3*h - 7. Let f be v(o). Determine g so that 2/9*g + 4/9 - 2/9*g**f - 4/9*g**2 = 0.
-2, -1, 1
Suppose -2*f + 14*m - 19 = 13*m, -5*m = -5*f - 60. Let k be (-44)/(-12) + f + 4. Determine b, given that -4/3*b - k*b**2 + 0 = 0.
-2, 0
Let b(h) be the first derivative of -2*h**5/25 + 2*h**4/5 - 29. Determine w so that b(w) = 0.
0, 4
Let r(x) = 5*x**4 + 10*x**3 - 33*x**2 - 34*x. Let p(v) = -2*v**2 - v. Let j(o) = 4*p(o) - r(o). Factor j(u).
-5*u*(u - 2)*(u + 1)*(u + 3)
Let z(b) be the second derivative of b**4/102 + 14*b**3/51 - 11*b - 11. Solve z(p) = 0.
-14, 0
Let t be ((-9450)/56)/(-9)*(-2 - (-72)/10). Solve -147/4*k**5 - t*k**3 + 1/2 - 15/2*k + 325/8*k**2 + 805/8*k**4 = 0.
1/6, 2/7, 1
Let p be (20/(-110))/((-48)/44 + 0). Let g(i) be the third derivative of 2/15*i**5 + 0 + 0*i**3 - 1/30*i**6 + 0*i - p*i**4 - 6*i**2. Factor g(u).
-4*u*(u - 1)**2
Let q(u) be the third derivative of -u**6/900 - 41*u**5/450 + u**4/180 + 41*u**3/45 - 790*u**2. Solve q(n) = 0.
-41, -1, 1
Let u(l) be the third derivative of l**7/105 + l**6/27 + 13*l**5/270 + l**4/54 + 2*l**2 - 158*l. Solve u(z) = 0.
-1, -2/9, 0
Let d = 67/16 - 1777/432. Let y(p) be the third derivative of -d*p**3 + 1/108*p**4 + 0 + 0*p - 10*p**2 + 1/270*p**5. Factor y(t).
2*(t - 1)*(t + 2)/9
Let o = 80 + -62. Let f be 66/o + 0 - 1. Determine k, given that 8/3*k - 8/9*k**4 - 8/9 - 2/9*k**2 - f*k**3 = 0.
-2, 1/2
Let -8/3*c + 0 - 16*c**3 + 16/3*c**5 + 4/3*c**4 - 44/3*c**2 = 0. What is c?
-1, -1/4, 0, 2
Let l = -160 + 165. Suppose 2*u + 12 = l*f, -6*u - 4 = -3*u - 4*f. Find d such that 16/15 + 28/15*d**2 - 8/15*d**u - 2/15*d**5 - 2/15*d**3 + 8/3*d = 0.
-2, -1, 2
Let a(w) = -w**2 + 16*w + 72. Let o be a(20). Let q be 45/42 + o/14. Factor 1/4*g**3 + 0 + q*g**2 - 3/4*g.
g*(g - 1)*(g + 3)/4
Factor 24/5*s**3 - 51/5*s**2 + 6*s + 0 - 3/5*s**4.
-3*s*(s - 5)*(s - 2)*(s - 1)/5
Let w(n) = 4*n**3 - 6*n**2 + 23*n + 3. Let u(a) = a**3 + a**2 + a + 1. Let g(y) = 3*u(y) - w(y). Let g(d) = 0. Calculate d.
0, 4, 5
Let f be (-4)/(-10)*300/270. Let d be (-32)/18 - (0 - 2). Determine v, given that -f*v**2 + 0*v**3 + 0*v + d*v**4 + 2/9 = 0.
-1, 1
Factor -97*i**4 + 98*i**4 + i**2 + 0*i**2 - 9*i**3 + 5*i**2 + 2*i**3.
i**2*(i - 6)*(i - 1)
Let r(o) be the first derivative of o**4/14 - 2*o**3/3 + 11*o**2/7 - 10*o/7 + 22. Determine p so that r(p) = 0.
1, 5
Factor 315*q - 229*q + 3*q**2 - q**2 - 88.
2*(q - 1)*(q + 44)
Let d(n) be the third derivative of -5/84*n**7 - 11/6*n**5 + 125/672*n**8 + 0 + 0*n - 5/6*n**4 - 10*n**2 - 11/8*n**6 + 0*n**3. Let d(j) = 0. Calculate j.
-1, -2/5, 0, 2
Let i = 51 - 51. Suppose 0 = 3*k + 15, 3*g + 2*g - 5*k - 35 = 0. Find o, given that 2*o**2 - 2 + i + g*o - 2*o**3 + 0*o**2 + 0 = 0.
-1, 1
Let z(d) be the first derivative of 64*d**5/5 - 24*d**4 - 28*d**3/3 + 48*d**2 - 36*d + 617. Factor z(u).
4*(u - 1)*(u + 1)*(4*u - 3)**2
Suppose -5*l = 3*p - 26, -4*p - 2 = 4*l - 18. Suppose -6 = -2*z + 2*o, -2*o = 5*z + o - l. Factor 4*v - 8*v - 5*v**2 - 2 + 3*v**z.
-2*(v + 1)**2
Suppose 216*g - 215*g = -3*f + 15, -12 = 2*f - 3*g. 