a**2 + 6*a + 1/60*a**5 - f*a**6 - 1/126*a**7 + 0. Factor u(d).
-d**2*(d - 1)*(d + 1)**2/3
Determine g, given that 0 - 27/2*g + 9*g**2 - 9/4*g**4 + 15/8*g**3 + 3/8*g**5 = 0.
-2, 0, 2, 3
Solve 14/5 - 16/5*z + 2/5*z**2 = 0.
1, 7
Find z, given that -3/7*z**5 + 45/7*z + 6/7*z**2 + 3*z**4 - 27/7 - 6*z**3 = 0.
-1, 1, 3
Let b(a) = a**3 + 2*a**2 + 4*a. Let k be b(3). Let g = -55 + k. Factor -1/9 - 1/3*u + 0*u**g + 4/9*u**3.
(u - 1)*(2*u + 1)**2/9
Let i(z) be the first derivative of -12/7*z**4 + 3/7*z**2 + 0*z - 5/7*z**3 + 5 - 27/35*z**5. Solve i(a) = 0.
-1, 0, 2/9
Suppose 1/2*n**3 - n**2 + 0 - 3/2*n = 0. What is n?
-1, 0, 3
Solve 96*y**4 - 12*y**4 + 408*y**2 - 252*y - 9*y**5 + 62 - 279*y**3 - 14 = 0.
1/3, 1, 2, 4
Let y be (1/(-2))/(2/(-12)). Let s(p) = 3*p**3 + 4*p**2 - p - 2. Let t(g) = -g**3 - g**2 + g + 1. Let l(k) = y*s(k) + 6*t(k). Suppose l(o) = 0. What is o?
-1, 0
Let z(k) = 16*k**2 + 2*k + 1. Let u = -11 - -10. Let d be z(u). Factor -78 - 44*p**4 + 172*p**3 + d*p**5 - 292*p**2 + 224*p - 11*p**5 + 14.
4*(p - 4)**2*(p - 1)**3
Let h = -187 - -262. Suppose 13 + 36*s - 1 + 59*s**3 - 32*s**3 - h*s**2 = 0. Calculate s.
-2/9, 1, 2
Factor 2/15*o**2 - 4/5*o + 2/3.
2*(o - 5)*(o - 1)/15
Let i(s) = 3*s**2 - 27*s + 4. Let p be i(9). What is c in 2/11*c**p - 10/11*c**3 - 14/11*c + 18/11*c**2 + 4/11 = 0?
1, 2
Let c(a) = -a**2 + 7*a + 10. Let j be c(8). Let i be 8/6 + (-65750)/(-300). Let -63*m + 6 - 1029/4*m**3 + i*m**j = 0. Calculate m.
2/7
Let u be (2 + -2 - 0)*-1. Suppose u = -6*p - 10 + 28. Factor 6/5*d - 4/5 - 2/5*d**p + 0*d**2.
-2*(d - 1)**2*(d + 2)/5
Let b(l) be the third derivative of -l**8/2688 - l**7/560 - l**6/960 + l**5/160 + l**4/96 - 98*l**2 - 1. What is y in b(y) = 0?
-2, -1, 0, 1
Let i(s) be the first derivative of 7*s - 1/36*s**4 + 0*s**2 + 1/9*s**3 - 4. Let n(j) be the first derivative of i(j). Factor n(l).
-l*(l - 2)/3
Let n(l) be the first derivative of -2/3*l**3 + 5/4*l**2 + 1/8*l**4 - l - 10. Let n(f) = 0. What is f?
1, 2
Let w(n) be the second derivative of -1/4*n**4 + n**3 + 11*n + 0 - 3/2*n**2. What is h in w(h) = 0?
1
Find l, given that 20*l**4 - 5*l**3 + 54*l**3 + 10*l**2 + 5*l**5 - 24*l**3 = 0.
-2, -1, 0
Let j(y) be the first derivative of 32*y**3/3 + 19*y**2 + 6*y + 198. Find r such that j(r) = 0.
-1, -3/16
Let q(l) be the second derivative of l**4/3 - 26*l**3/3 - 28*l**2 - 85*l. Factor q(g).
4*(g - 14)*(g + 1)
Let a be 2 + (-9)/(-3) + 95/(-25). Factor -3/5*i**3 + 3/5*i + 6/5*i**2 - a.
-3*(i - 2)*(i - 1)*(i + 1)/5
Let v(t) be the third derivative of -t**7/1260 + t**6/720 + t**5/120 - t**4/144 - t**3/18 - 54*t**2. Suppose v(j) = 0. What is j?
-1, 1, 2
Let t(q) = -243*q**4 + 996*q**3 + 213*q**2 - 2766*q - 1743. Let i(w) = -2*w**3 - 2*w - 1. Let f(c) = 15*i(c) - t(c). Factor f(l).
3*(l - 3)**2*(9*l + 8)**2
Let f(t) = -t**2 - 15*t + 16. Let i(g) = -g**2 - g. Let j(s) = 2*f(s) - 6*i(s). Suppose j(n) = 0. What is n?
2, 4
Let i be ((-4)/8)/((-2)/12). Factor -18/5*p**2 - 2/5*p**i - 48/5*p - 32/5.
-2*(p + 1)*(p + 4)**2/5
Let i(t) be the second derivative of -t**7/315 - 4*t**6/225 + 3*t**5/50 + 4*t**4/9 + 4*t**3/45 - 16*t**2/5 + 3*t + 66. Find f such that i(f) = 0.
-4, -2, 1, 3
Let q(g) be the second derivative of 0 + 0*g**4 - 2/15*g**6 + 4/3*g**3 + 2*g**2 - 2/5*g**5 + 18*g. Find h such that q(h) = 0.
-1, 1
Let f = 19946/493 + -1030/29. Let g = f + -386/85. Factor 8/5*k**3 - g - 12/5*k**2 - 2/5*k**4 + 8/5*k.
-2*(k - 1)**4/5
Let f(d) = 19*d**5 + 200*d**4 + 100*d**3 + 15*d**2 - 3*d. Let p(c) = 77*c**5 + 800*c**4 + 401*c**3 + 61*c**2 - 13*c. Let v(w) = 26*f(w) - 6*p(w). Factor v(t).
2*t**2*(t + 12)*(4*t + 1)**2
Let j = 119 - 34. Factor j*c - 85*c + c**2 + 3*c**3 + c**2.
c**2*(3*c + 2)
Let t(z) be the first derivative of -2 - 1/12*z**4 + 0*z**3 + 1/2*z**2 + 3*z. Let w(p) be the first derivative of t(p). Let w(a) = 0. Calculate a.
-1, 1
Let h(y) = -6*y**4 + 71*y**3 - 227*y**2 + 229*y - 77. Let u(a) = 3*a**4 - 35*a**3 + 114*a**2 - 115*a + 39. Let l(b) = -3*h(b) - 5*u(b). What is t in l(t) = 0?
2/3, 1, 2, 9
Let m(q) be the first derivative of -q**7/98 + q**6/70 + 3*q**5/140 - q**4/28 - 11*q + 2. Let y(h) be the first derivative of m(h). Let y(j) = 0. Calculate j.
-1, 0, 1
Let 17/5*b**2 - 4/5*b**3 + 4/5 - 4*b = 0. What is b?
1/4, 2
Let h = -384 + 769/2. Let x(f) be the second derivative of 0 - h*f**3 - 1/4*f**4 + 2*f - 1/2*f**2 - 1/20*f**5. Factor x(d).
-(d + 1)**3
Let p(h) be the third derivative of -h**11/83160 - h**10/12600 - h**9/7560 + 7*h**5/20 + h**2. Let z(j) be the third derivative of p(j). What is d in z(d) = 0?
-2, -1, 0
Let v(z) be the second derivative of -2*z**7/21 + 14*z**6/15 + 12*z**5/5 - 176*z**4/3 + 640*z**3/3 + 213*z. Factor v(t).
-4*t*(t - 4)**3*(t + 5)
Suppose 0 = 18*f - 2*f - 32. Let j(b) be the second derivative of 0 + 6/7*b**f - 3*b + 1/28*b**4 - 2/7*b**3. Let j(x) = 0. What is x?
2
Let z(o) be the second derivative of -o**4/18 + 11*o**3/9 - 6*o**2 + 2*o + 27. Factor z(q).
-2*(q - 9)*(q - 2)/3
Let q(w) be the third derivative of -w**6/30 + w**5/15 + 5*w**4/6 + 2*w**3 + 127*w**2. Factor q(f).
-4*(f - 3)*(f + 1)**2
Let d(w) = -2*w**2 - 26*w - 26. Suppose -15 + 3 = 6*v. Let t(o) = o + 1. Let r(g) = v*d(g) - 36*t(g). What is c in r(c) = 0?
-2
Let p = 1683637068385/4842 - 347715210. Let l = p + -5/538. Solve l*u + 74/9*u**2 + 2*u**4 + 8/9 + 20/3*u**3 = 0.
-1, -2/3
Factor 2/13*h**3 - 96/13 + 10/13*h**2 - 16/13*h.
2*(h - 3)*(h + 4)**2/13
Let h(o) be the third derivative of -1/135*o**6 + 1/54*o**5 + 0*o - 1/54*o**4 + 0*o**3 + 1/945*o**7 + 0 - 3*o**2. Suppose h(f) = 0. What is f?
0, 1, 2
Let r be (-3)/(-6) - (-6)/(-12). Let q be (r + 2 - (-66)/(-18)) + 2. Factor 8/3 - 25/3*n**3 - 28/3*n + 8/3*n**4 + 38/3*n**2 - q*n**5.
-(n - 2)**3*(n - 1)**2/3
Let c(b) be the second derivative of 0*b**3 + 0*b**2 + 13*b + 1/30*b**4 + 0. Factor c(s).
2*s**2/5
Suppose -21*o + 12 = -18*o. Suppose o*k - 8*k + 236 = 0. Let k*d**2 - 4*d**3 - 67*d**2 + 2*d**4 + 2*d**4 = 0. Calculate d.
-1, 0, 2
Suppose g**2 + 0*g**2 + g**2 + 336 + 46*g + 128*g + g**2 = 0. Calculate g.
-56, -2
Let n = -21 + 25. Let w(x) = 3*x**2 - 6*x - 1. Let l(i) = -3*i + 4 - 15*i**2 + 2 + 23*i + 10*i. Let p(o) = n*l(o) + 21*w(o). Let p(b) = 0. What is b?
1
Factor -31*o + 4*o**3 - 69*o + 0*o**2 - 336 + 136 + 11*o**2 - 3*o**2.
4*(o - 5)*(o + 2)*(o + 5)
Let b be 48/84*14 + -4. Let c(l) be the second derivative of -1/6*l**b - 2/9*l**3 + 11*l + 0*l**2 + 0 + 1/6*l**5. Determine r, given that c(r) = 0.
-2/5, 0, 1
Let t(f) be the second derivative of 17*f + 41/80*f**5 + 0*f**2 + 1/12*f**4 - 7/40*f**6 - 1/6*f**3 + 0. Solve t(b) = 0 for b.
-1/3, 0, 2/7, 2
Let r(f) = -f**2 + 19*f - 81. Let w be r(7). Factor 3 + 3/4*m**w - 3*m**2 - 3/4*m.
3*(m - 4)*(m - 1)*(m + 1)/4
Let i(q) = -1 + 1 - 4 + q + 5. Let l(h) = 5*h**3 + 5*h**2 - 50*h - 70. Let j(t) = 10*i(t) + l(t). Factor j(d).
5*(d - 3)*(d + 2)**2
Let a(n) = n + 4. Let k be a(0). Let h = -142/3 - -48. Factor 0*r**2 + 0*r + h*r**3 - 1/3*r**k - 1/3*r**5 + 0.
-r**3*(r - 1)*(r + 2)/3
Suppose -2*x + 4*p = 6, p = -x - 0*p + 6. Factor 6*v - x*v - 9*v**3 + 12*v - 5*v**4 + 10 - 6*v**3 - 5*v**2.
-5*(v - 1)*(v + 1)**2*(v + 2)
Let u(l) = 36*l**2 + 520*l + 944. Let w(v) = -7*v**2 - 104*v - 189. Let n(d) = -3*u(d) - 16*w(d). Factor n(a).
4*(a + 2)*(a + 24)
Suppose 3*w - 2 = 7, v = -3*w - 258. Let k be v/(-168) - 6/(-48). Suppose -75/7*x**5 + k*x**3 + 12/7*x**2 + 0*x - 75/7*x**4 + 0 = 0. Calculate x.
-1, -2/5, 0, 2/5
Let k(a) be the third derivative of -a**7/1155 - 13*a**6/660 - 4*a**5/33 - 3*a**4/11 - a**2 + 16*a. Factor k(s).
-2*s*(s + 2)**2*(s + 9)/11
Factor 15*q**3 - 880*q**2 + 6*q**3 + 920*q**2 + 4*q**3.
5*q**2*(5*q + 8)
Let p(l) be the third derivative of -l**8/112 - 5*l**7/56 - 17*l**6/80 + 17*l**5/80 + 19*l**4/16 + l**3 - 26*l**2. Determine s, given that p(s) = 0.
-4, -2, -1, -1/4, 1
Let s(t) be the second derivative of -2*t**6/15 + 2*t**4 - 16*t**3/3 + 6*t**2 - 43*t - 6. Factor s(y).
-4*(y - 1)**3*(y + 3)
Let r(y) be the second derivative of -y**5/50 + 13*y**4/6 + 133*y**3/15 + 67*y**2/5 + 2*y - 45. Factor r(u).
-2*(u - 67)*(u + 1)**2/5
Let w be 1*(-164)/3*1/(-6). Let f be 5/9 - 30/(-10). What is t in -2/9*t**2 - 8/9 - w*t**3 + 10/9*t**4 + 50/9*t**5 + f*t = 0?
-1, 2/5, 1
Let m = 46 + -35. Factor -m*x + 3 + 39*x + x**2 - 24*x.
(x + 1)*(x + 3)
Let k = 15 -