actor y(l).
-4*(l + 3)*(l + 9)/3
Factor 8*h**2 - 7/3*h**3 + 0 - 3*h.
-h*(h - 3)*(7*h - 3)/3
Let x be (-9)/(-6)*-1*(-10)/45. Let d = 24397/5628 - 3/1876. Factor -x*n**3 + 8/3*n**2 + 2 - d*n.
-(n - 6)*(n - 1)**2/3
Suppose 2748*v = 2759*v - 33. Factor -s**5 + 0*s - 3/5*s**2 - 11/5*s**v - 13/5*s**4 + 0.
-s**2*(s + 1)**2*(5*s + 3)/5
Suppose y - 4*r - r + 20 = 0, y + 2*r = 15. Factor -18*q**3 - 32*q - y + 17*q**2 + 17*q**2 + 8*q**2 + 13.
-2*(q - 1)*(3*q - 2)**2
Factor 9*t**3 + 473*t**2 + 334*t**4 - 443*t**2 - 337*t**4.
-3*t**2*(t - 5)*(t + 2)
Let 0 + 0*h + 86/7*h**4 + 82/7*h**2 + 166/7*h**3 + 2/7*h**5 = 0. What is h?
-41, -1, 0
Let a = 303399/4 - 75831. Find l such that -9 - 39/4*l**2 + 3/4*l**4 + 3/4*l**3 - a*l = 0.
-3, -1, 4
Let f = 6313 + -3402706/539. Let p = f - -2687/4312. Factor 13/8*g - 1/8*g**3 + 7/8 + p*g**2.
-(g - 7)*(g + 1)**2/8
Suppose -78/5*v - 3/5*v**2 - 507/5 = 0. What is v?
-13
Let d = 97464 - 97460. Let -2832/5*z**2 + 2596/5*z**3 - 484/5*z**d + 784/5*z - 64/5 = 0. What is z?
2/11, 1, 4
Let j(c) = 2*c**2 + 56*c + 56. Let n(t) = -t**2 - 54*t - 56. Let w = 59 - 57. Let h(b) = w*n(b) + 3*j(b). Solve h(r) = 0.
-14, -1
Let j(u) be the first derivative of u**5 + 445*u**4/4 + 2140*u**3/3 + 1690*u**2 + 1680*u + 13763. What is z in j(z) = 0?
-84, -2, -1
Let p(n) be the first derivative of 25*n + 10/3*n**3 + 7 + 35/2*n**2. Factor p(m).
5*(m + 1)*(2*m + 5)
Let x(v) = 31*v**2 - 517*v + 1424. Let a(d) = -42*d**2 + 689*d - 1898. Let f(m) = -8*a(m) - 11*x(m). Factor f(y).
-5*(y - 32)*(y - 3)
Suppose 2*y**3 - 11/2*y**2 - 9/4 - 1/4*y**4 + 6*y = 0. Calculate y.
1, 3
Suppose -188*d + 1277*d - 639 = 1539. Factor 8 - d*a - 2/9*a**2.
-2*(a - 3)*(a + 12)/9
Let l(b) be the first derivative of -b**9/3780 + b**8/1050 - 13*b**3/3 - b**2 - 126. Let c(a) be the third derivative of l(a). Factor c(h).
-4*h**4*(h - 2)/5
Suppose -76*z + 67*z + 38304 = 0. Suppose 0 = -4252*d + z*d. Determine f, given that 6/5*f + d - 2/5*f**2 = 0.
0, 3
Factor 0*r**2 + 13/10*r**3 - 9/10*r + 0 + 2/5*r**4.
r*(r + 1)*(r + 3)*(4*r - 3)/10
Let r(l) = -l**2 + 56*l - 336. Let q be r(50). Let g be (-14)/7 + (-96)/q. Let -7/3*b**3 - 3*b**2 - g*b**4 - 1/3 - 5/3*b = 0. What is b?
-1, -1/2
Suppose -5*l = 3*h - 2*h - 11, -5*l + 12 = 2*h. Suppose -l*y - 4 = 0, -5*n + 3*n - 5*y + 40 = 0. Solve 15*w - n*w**2 + 4 + 4 + 7 - 5 = 0 for w.
-2/5, 1
Let i(h) be the first derivative of h**2 + 12*h - 318. Let b be i(-5). Factor -6/7*p**3 - 1/7*p**4 - 8/7*p - 12/7*p**b + 0.
-p*(p + 2)**3/7
Suppose -n = 4*z - 1, -2*n - z - 4*z = -5. Suppose -n*k = -4*f - 11, 4 = 3*k - 5*f - 0. Factor -4/7*w**2 - 8/7*w + 4/7*w**k + 0.
4*w*(w - 2)*(w + 1)/7
Let y(d) be the third derivative of d**5/60 - d**4/8 + 22*d**2. Let p be y(4). Factor -2*x + 2*x**3 - 6*x**2 + x**2 + 4*x**2 + p*x**2.
x*(x + 2)*(2*x - 1)
Let a(j) be the first derivative of 3*j**4/4 - 50*j**3 + 1287*j**2/2 - 9128. Let a(y) = 0. Calculate y.
0, 11, 39
Suppose 10 = -x + 5*u, -3*u = x - 151 + 145. Let d(g) be the third derivative of 0 + x*g + 5/2*g**3 + 1/12*g**5 - 5/6*g**4 + 5*g**2. Factor d(w).
5*(w - 3)*(w - 1)
Let z be (110/25 - 3)/(413/2891). Factor z - 14/5*m + 1/5*m**2.
(m - 7)**2/5
Let m(r) = -8*r**3 + 27*r**2 + 29*r - 149. Let x(p) = 4*p**3 - 14*p**2 - 14*p + 74. Let l = -107 + 105. Let k(d) = l*m(d) - 5*x(d). Solve k(i) = 0.
-2, 3
Let c be (6 - 1)/(1/34*2). Suppose -3*s - 28 - 22 = -a, -2*a + c = -5*s. Let d(v) = 5*v**2 - 20. Let l(j) = -1. Let t(f) = s*l(f) + d(f). Factor t(b).
5*(b - 1)*(b + 1)
Suppose -2*s - 25 = 5*g, 30*s - 27*s = -g - 18. Let x(v) = -63*v - 311. Let r be x(s). Factor 1/3*a**5 + 8*a**2 + 1/3*a**3 - 2*a**r + 16/3*a + 0.
a*(a - 4)**2*(a + 1)**2/3
Let g = 1057157/11 + -96105. Let g*t**2 + 6/11*t + 0 = 0. Calculate t.
-3, 0
Let c(l) = -7683*l**2 - 992*l - 32. Suppose g - 5*g = -112. Let b(x) = 42256*x**2 + 5456*x + 176. Let a = -4916 + 4921. Let w(f) = a*b(f) + g*c(f). Factor w(k).
-4*(31*k + 2)**2
Let n = 520 + -494. Factor 120*p**2 + 52 - 6*p**3 + n*p**3 + 249 + 104 - 495*p.
5*(p + 9)*(2*p - 3)**2
Let x(j) be the third derivative of -j**6/140 - 208*j**5/105 - 229*j**4/28 - 274*j**3/21 - 153*j**2. Find i such that x(i) = 0.
-137, -1, -2/3
Let x = 2/591 - -392/591. Let g be -7 + 11 - 8/2. Factor g - 2/9*k**2 - x*k.
-2*k*(k + 3)/9
Suppose -9 = -19*b + 16*b. Factor 32*y**b + 24*y**2 + y - 30*y**3 - y.
2*y**2*(y + 12)
Let u be ((-20)/(0 + -4) - 2) + -2. Let i(b) = 13*b - 9. Let y be i(u). Determine x so that 1 - 8 + y*x**3 + 8*x**2 - 1 + 0*x**3 - 4*x = 0.
-2, -1, 1
Let d = 308947 + -617893/2. Solve 5/2*u**3 + 9/2*u**2 + 1 + 7/2*u + d*u**4 = 0 for u.
-2, -1
Factor 1 - 1129*f + 1274641/4*f**2.
(1129*f - 2)**2/4
Let f(k) = -k**3 - 23*k**2 - 8*k + 4. Let d be f(-23). Let n = d - 186. Let -3*g - 9/4 + g**3 - 1/4*g**4 + 1/2*g**n = 0. What is g?
-1, 3
Suppose 0*n - 6*n**2 - 2*n**3 - 2/3*n**5 + 0 + 10/3*n**4 = 0. Calculate n.
-1, 0, 3
Suppose 0 = 29*g - 35*g + 108. Let -246 + w**2 - 13*w + w**2 - g*w**2 + 3*w**3 - 24*w + 260 = 0. Calculate w.
-2, 1/3, 7
Let s(y) = -2*y**3 + 8*y**2 + 2*y + 12. Let a(u) = -u**2 + 8*u**2 - 6*u**2 + 1. Suppose 43 - 7 = 18*f. Let j(q) = f*s(q) - 20*a(q). Factor j(p).
-4*(p - 1)*(p + 1)**2
Let m(k) be the first derivative of -12 - 45/7*k + 4/7*k**3 + 177/14*k**2. Let m(y) = 0. Calculate y.
-15, 1/4
Suppose 39*f**2 + 324 + 75*f**3 + 260*f**2 + 891*f + 54*f**2 + 133*f**2 = 0. Calculate f.
-3, -12/25
Let b(x) be the second derivative of 81/5*x**2 - 6/5*x**3 + 1/30*x**4 + 0 + 45*x. Find h such that b(h) = 0.
9
Let c(s) be the first derivative of 2*s**3/3 + 121*s**2 - 244*s - 2986. Factor c(z).
2*(z - 1)*(z + 122)
Determine h so that -52/9 + 16/3*h + 4/9*h**2 = 0.
-13, 1
Let 35*j + 22/3*j**2 + 1/3*j**3 + 48 = 0. What is j?
-16, -3
Suppose 16 - 90*u**3 - 603842*u**2 - 124*u + 604162*u**2 + 36*u**5 - 206*u**3 + 48*u**4 = 0. What is u?
-4, 1/3, 1
Let x be ((-47)/(-7) - 1 - (-75)/(-15))*1. Let o(k) be the second derivative of 2*k + 75/14*k**2 + 0 - x*k**3 + 1/28*k**4. What is c in o(c) = 0?
5
Let q(l) be the first derivative of -l**6/14 - 3*l**5/35 + 471*l**4/28 + 313*l**3/7 + 234*l**2/7 - 6710. Let q(v) = 0. Calculate v.
-12, -1, 0, 13
Factor -49*i**2 - 9*i + 1 - 41*i + 73*i - 2 - 9*i.
-(7*i - 1)**2
Let f be 5*(10/2 + 2). Solve 37*z - 203*z**2 - 9 + 207*z**2 - f + 3*z = 0 for z.
-11, 1
Let h(i) = 18*i - 1368. Let f be h(76). Let j(x) be the second derivative of -14*x + 5/12*x**4 + 1/4*x**5 + 0 + f*x**3 + 0*x**2. Determine a so that j(a) = 0.
-1, 0
Let o = -381 + 462. Let l be 4 - (o/21 - 0). Factor 0 + l*h**2 - 2/7*h.
h*(h - 2)/7
Let h(u) be the second derivative of -u**5/90 + 19*u**4/27 - 73*u**3/27 + 4*u**2 - 1112*u. Factor h(c).
-2*(c - 36)*(c - 1)**2/9
Factor 20911*y - 7*y**3 + 150 - 10471*y - 10835*y + 108*y**2.
-(y - 10)*(y - 5)*(7*y - 3)
Let a(h) = -8*h**2 - 13*h - 33. Suppose 4*x - 8*x - 5*s + 1 = 0, -17 = -2*x + 3*s. Let w(v) = -10*v**2 - 12*v - 34. Let z(y) = x*a(y) - 3*w(y). Factor z(r).
-2*(r + 3)*(r + 5)
Let i = 15989/145 - 3192/29. Let n(h) be the second derivative of 3/25*h**5 + 1/4*h**4 + 0*h**2 + 27*h + 1/50*h**6 + 0 + i*h**3. Factor n(d).
3*d*(d + 1)**2*(d + 2)/5
Let z(u) be the second derivative of u**3 + 72*u + 0 - 1/15*u**6 - 3/10*u**5 + 2*u**2 - 1/6*u**4. Solve z(n) = 0.
-2, -1, 1
Let i be 6/39 + (-240)/(-130). Suppose 2 = i*k - 2. Factor 0*f**2 + 0*f**k + f**2 - 2442*f**3 - 2*f + 2443*f**3.
f*(f - 1)*(f + 2)
Let l = 312 - 1014. Let x = l + 2108/3. Factor -x*j**2 - 4/3 - 1/3*j**3 + 7/3*j.
-(j - 1)**2*(j + 4)/3
Let x(o) be the third derivative of 0*o - 233/540*o**5 + 83/108*o**4 - 2/135*o**7 - 181/1080*o**6 - 4/9*o**3 + 1 - 6*o**2. Solve x(f) = 0 for f.
-4, -3, 1/4, 2/7
Let t(b) be the first derivative of 0*b + 1/7*b**2 - 3/14*b**4 - 4/21*b**3 + 216. Factor t(w).
-2*w*(w + 1)*(3*w - 1)/7
Find j such that 615/2 + 101*j - 1/2*j**2 = 0.
-3, 205
Factor 0*t**2 - 1/2*t**5 + 0 + 0*t + 0*t**3 + 630*t**4.
-t**4*(t - 1260)/2
Suppose -450 = 21*l - 66*l. Suppose 51*j = l*j. Factor j*v - 1/4 + 1/4*v**2.
(v - 1)*(v + 1)/4
Let m(k) = -2*k**2 - 104*k + 832. Let i be m(7). Let s(g) be the first derivative of -1/8*g**4 + 2 - 1/2*g**3 + i*g + g**2. Find r, given that s(r) = 0.
-3, -2, 2
Let d(u) be the second derivative of -u**5/4 + 25*u**4/12 + 20*u**3/3 - 30*u**2 - 1284*u. Factor d(x).
-5*(x - 6)*(x - 1)*(x + 2)
Let 