 + 3*t - 5 - 5*t**4 - 25*t**5 - 1980*t**2 = 0?
-1, -1/5, 1
Let n(x) = 7*x**2 + 54*x - 186. Let c(h) = 16*h**2 + 107*h - 373. Let m(b) = -6*c(b) + 13*n(b). Factor m(a).
-5*(a - 6)**2
Determine y so that 1/2*y - 1/4*y**3 + 3/8*y**2 - 1/8*y**4 - 1/2 = 0.
-2, 1
Let p be ((-10)/(-25))/((-15)/(-75)). Let w(l) be the first derivative of -1/16*l**4 - 1/4*l**3 - 4 - 1/4*l - 3/8*l**p. Determine d so that w(d) = 0.
-1
Let z be -1*1/(-8)*13*40/260. Determine c so that 0 + 0*c**3 + 0*c + 1/4*c**4 - z*c**2 = 0.
-1, 0, 1
Let f(y) be the third derivative of y**7/42 - y**6/24 - 5*y**5/12 - 5*y**4/8 + 83*y**2. Let f(z) = 0. Calculate z.
-1, 0, 3
Let h(f) be the first derivative of 4*f**5/35 - f**4/2 + 4*f**3/7 + f**2/7 - 4*f/7 + 115. Determine o so that h(o) = 0.
-1/2, 1, 2
Let q(x) be the first derivative of -x**4/6 + 38*x**3/9 - 115*x**2/3 + 150*x - 535. Factor q(l).
-2*(l - 9)*(l - 5)**2/3
Let c be (16/308)/((-100)/(-350)). Factor -8/11*n + 8/11 - 6/11*n**2 + 4/11*n**3 + c*n**4.
2*(n - 1)**2*(n + 2)**2/11
Let p = -8125 - -8127. Let -4/7*j**p + 0*j**3 + 2/7*j**4 + 0*j + 2/7 = 0. What is j?
-1, 1
Find u such that -2/7*u**4 + 24/7*u**3 + 24*u - 90/7 - 100/7*u**2 = 0.
1, 3, 5
Let x(f) be the third derivative of f**7/630 + 19*f**6/240 + 419*f**5/360 + 7*f**4/6 - 49*f**3/9 + 8*f**2 + 7*f. Determine j so that x(j) = 0.
-14, -1, 1/2
Suppose 8 = -s + 3*s, 2*f + 54 = 2*s. Let z = f + 26. Find x, given that -x**3 + 2*x - x**z + x**4 - 6*x**2 + 5*x**2 = 0.
-1, 0, 1, 2
Let v(r) = r**3 + 2*r**2 - 4*r - 1. Let z(d) = 2*d**3 - d**2 - 29*d - 22. Let l(j) = -5*v(j) + 5*z(j). Suppose l(q) = 0. Calculate q.
-3, -1, 7
Factor -1/4*d - 1/4*d**3 + 3/8 - 7/8*d**2.
-(d + 1)*(d + 3)*(2*d - 1)/8
Let t = 16 - 12. Suppose -5*h - 3*i + 6 = 0, 2*h + 3*i = t*h - 15. Determine u so that -2*u**2 + 18*u**h - 21*u**3 - u**2 = 0.
-1, 0
Let y(t) be the third derivative of t**8/40320 - t**7/3780 - t**4/12 + 29*t**2. Let m(i) be the second derivative of y(i). Factor m(q).
q**2*(q - 4)/6
Let t(j) be the first derivative of 7*j**4/10 - 16*j**3/15 - j**2 + 12*j/5 - 236. Determine q so that t(q) = 0.
-6/7, 1
Let z = 88 - 64. Factor -1 - 5 + 3*p - z*p**2 + 2*p + 23*p**2.
-(p - 3)*(p - 2)
Let h(i) = -4*i - 36. Let w(u) = 2*u + 35. Let t(c) = 3*h(c) + 4*w(c). Let p be t(8). Let 0*x**2 + 4/9*x**4 - 2/9*x**3 - 2/9*x**5 + p + 0*x = 0. What is x?
0, 1
Let s(r) be the third derivative of 0*r + 0 + 1/100*r**5 - 3/40*r**4 - r**2 + 1/5*r**3. Factor s(v).
3*(v - 2)*(v - 1)/5
Let a(y) be the second derivative of y**7/42 + 11*y**6/30 + 6*y**5/5 - y**4/3 - 16*y**3/3 - 310*y. Factor a(s).
s*(s - 1)*(s + 2)**2*(s + 8)
Factor 30/7*i**4 + 94/7*i**3 + 102/7*i**2 + 4/7 + 6*i.
2*(i + 1)**3*(15*i + 2)/7
Factor 2*n**2 + 179596*n - 179531*n - 60 - 7*n**2.
-5*(n - 12)*(n - 1)
Solve -9*t**3 - 288/5 + 2/5*t**4 + 96*t + 214/5*t**2 = 0 for t.
-2, 1/2, 12
Let w(q) be the second derivative of -4/3*q**2 - 16/9*q**3 - 7/18*q**4 - 7*q + 0. Solve w(b) = 0 for b.
-2, -2/7
Let w(g) be the second derivative of g**6/30 + 13*g**5/20 + 55*g**4/12 + 25*g**3/2 + 31*g. Factor w(v).
v*(v + 3)*(v + 5)**2
Let y(w) = -50*w**3 - 65*w**2 + 85 + 48*w**3 - 20 + 149*w. Let a(p) = p**3 + 64*p**2 - 150*p - 66. Let j(h) = 7*a(h) + 6*y(h). What is k in j(k) = 0?
-2/5, 6
Suppose -18 + 348 = v. Let f be (-3)/(-6) - v/(-12). Find y, given that -4 - 48*y**2 + f*y - 7*y**2 + 6*y**2 = 0.
2/7
Let j = 2/49 - -142/1323. Let z(i) be the first derivative of 2/9*i - 6 + 2/45*i**5 + 0*i**4 + 0*i**2 - j*i**3. Factor z(u).
2*(u - 1)**2*(u + 1)**2/9
Let l(a) be the first derivative of a**5/10 + 3*a**4/2 + 5*a**3 + 7*a**2 + 9*a/2 + 197. Factor l(y).
(y + 1)**3*(y + 9)/2
Let p = 44 + -36. Suppose z + 3*z = p. Factor 18*u - 8*u + 5*u**z + 2*u - 20 + 3*u.
5*(u - 1)*(u + 4)
Let b be (-13)/(-13)*(10 + -1). Suppose -m + b = 2*y, -5*m + y + 12 = -0. Let 0*a**m + 5*a - a - 4*a**3 = 0. What is a?
-1, 0, 1
Let j(a) be the third derivative of a**5/330 + 5*a**4/66 - 17*a**2 - 2*a. Let j(v) = 0. What is v?
-10, 0
Let g = -19997/3 - -6666. Factor 1/6 + 1/6*m**4 - g*m**2 + 0*m**3 + 0*m.
(m - 1)**2*(m + 1)**2/6
Let j(t) be the second derivative of 10*t**7/63 - 68*t**6/15 + 86*t**5/3 + 944*t**4/9 + 110*t**3/3 - 484*t**2/3 - 81*t - 1. Suppose j(f) = 0. Calculate f.
-1, 2/5, 11
Let j(k) be the first derivative of 0*k + 6*k**4 + 16/3*k**3 + 0*k**2 + 1/3*k**6 + 12/5*k**5 + 10. Factor j(a).
2*a**2*(a + 2)**3
Let o be 6/(-3) + (-1134)/(-140) - 6. Factor 0 + 1/5*j**3 + 1/10*j**2 + 0*j + o*j**4.
j**2*(j + 1)**2/10
Let l(p) be the third derivative of 0*p + 10*p**2 + 0*p**7 + 1/8*p**6 + 0*p**4 + 0*p**3 + 0 + 1/6*p**5 - 5/336*p**8. Suppose l(g) = 0. What is g?
-1, 0, 2
Let s(c) be the first derivative of -3*c**5/10 - 9*c**4/4 - 9*c**3/2 - 3*c**2 + 60. Suppose s(b) = 0. What is b?
-4, -1, 0
Let i(l) be the third derivative of 0*l**3 + 0 + 0*l**4 + 0*l**6 + 14*l**2 + 0*l + 1/12*l**5 - 1/42*l**7. Factor i(b).
-5*b**2*(b - 1)*(b + 1)
Suppose 18 = -207*d + 216*d. Let q(l) be the third derivative of 0 - l**3 - 1/40*l**6 + 5*l**d - 1/5*l**5 + 0*l - 5/8*l**4. Factor q(z).
-3*(z + 1)**2*(z + 2)
Let v(b) be the first derivative of b**4/6 - 10*b**3/3 + 25*b**2 + 13*b + 5. Let y(m) be the first derivative of v(m). Factor y(f).
2*(f - 5)**2
Let j(f) = f**2 + 7*f + 10. Let h be j(-6). Let g be 42/8 - (-1)/(-4). Factor -9*z**g - 2*z**4 + 8*z**5 + z**h.
-z**4*(z + 1)
Suppose 3*s = -0*s - 12. Let m be (s/(-6))/(21/14). Factor 2/9*w**2 + 0 + m*w.
2*w*(w + 2)/9
Factor 265/4*n + 5/4*n**4 + 75/4*n**3 - 255/4*n**2 - 45/2.
5*(n - 1)**3*(n + 18)/4
Let g(o) be the first derivative of 5*o**6/8 - 8*o**5 + 55*o**4/16 + 85*o**3/2 - 155*o**2/2 + 50*o - 59. Determine n so that g(n) = 0.
-2, 2/3, 1, 10
Let n be -3 + 3 + (76 - -2). Let i = n + -389/5. Factor 3/5*g**2 + 0 - i*g**3 + 0*g.
-g**2*(g - 3)/5
Let q(i) be the second derivative of 0 + 12*i**3 + 162*i**2 + 23*i + 1/3*i**4. Factor q(v).
4*(v + 9)**2
Let t(c) = -c**3 - 25*c**2 + 48*c + 574. Let z be t(-26). Suppose -1/6*i**5 + 0*i**z + 1/6*i**3 + 0*i + 0*i**4 + 0 = 0. What is i?
-1, 0, 1
Let v(h) = h**2 - 10*h + 2. Let c(p) = 2*p - 4. Let w be c(7). Let o be v(w). Determine t so that 3*t + 8*t**2 - 2*t**o - 3*t**2 - 2 - 4 = 0.
-2, 1
Let p(u) be the first derivative of -u**4/4 + 3*u**3 + 5*u**2 + 273. Factor p(q).
-q*(q - 10)*(q + 1)
Let d(s) be the second derivative of s**6/540 - 2*s**5/135 + s**4/27 - 5*s**2/2 - 8*s. Let l(n) be the first derivative of d(n). Factor l(b).
2*b*(b - 2)**2/9
Suppose -10 = -2*d + 4*p - p, -3*d + 3*p + 21 = 0. Factor -l**2 + 7*l**2 - d*l**2 + 25*l - 15 - 5*l**3.
-5*(l - 1)**2*(l + 3)
Let f(t) be the second derivative of 2*t + 0*t**2 + 1/21*t**7 + 0*t**5 - 1/3*t**3 + 0 + 2/15*t**6 - 1/3*t**4. Find v such that f(v) = 0.
-1, 0, 1
Let f(c) = -2*c + 9 - 6*c**2 - 3 - c**3 + 3*c. Let h(d) = -d**3 - 5*d**2 + d + 5. Let g(j) = -4*f(j) + 5*h(j). Factor g(r).
-(r - 1)*(r + 1)**2
Factor 32*v**2 - 1921*v**4 - 65*v**3 + 1916*v**4 - 92*v**2.
-5*v**2*(v + 1)*(v + 12)
Suppose 2*a + 6 = -y, -y - a = -3 + 5. Let u(s) be the first derivative of -2 + 1/3*s**y + 0*s + 1/9*s**3. Factor u(i).
i*(i + 2)/3
Factor 75*s**2 - 96/7*s - 21*s**3 - 768/7.
-3*(s + 1)*(7*s - 16)**2/7
Let q(m) = -10*m**4 - 28*m**3 - 11*m**2 - 5*m - 6. Let t(c) = 50*c**4 + 138*c**3 + 56*c**2 + 24*c + 28. Let z(d) = 28*q(d) + 6*t(d). Factor z(l).
4*l*(l + 1)**2*(5*l + 1)
Let c(w) be the third derivative of w**6/420 + 2*w**5/105 - 11*w**4/84 + 2*w**3/7 + 3*w**2 + 15. Factor c(y).
2*(y - 1)**2*(y + 6)/7
Let u = -65 - -57. Let a = u - -8. Let 0*c**2 - 2/7*c**3 + 0 + a*c + 2/7*c**4 = 0. Calculate c.
0, 1
Suppose 10/3*r**3 - 2/3*r**4 + 2/3*r**2 + 0 - 10/3*r**5 + 0*r = 0. Calculate r.
-1, -1/5, 0, 1
Let j = 345 - 327. Let g be 3/(99/(-6)) - j/(-99). Factor 0*a**2 + 1/3*a**3 + 0 + g*a**4 + 0*a - 1/3*a**5.
-a**3*(a - 1)*(a + 1)/3
Let q be (-5)/((-20)/16) - -1. Let t(i) = i + 3. Let g be t(0). Let 3*a**g - 3*a**2 - q*a**4 - 4*a**4 - 24*a + 21*a**3 + 12 = 0. What is a?
-1, 2/3, 1, 2
Let h be 28 + -25 + (-85)/35. Factor 2/7*d**4 - 6/7*d**2 + 0*d**3 - h*d + 0.
2*d*(d - 2)*(d + 1)**2/7
Let u(r) be the first derivative of r**8/5040 - r**7/1260 + r**5/180 - r**4/72 + 6*r**3 - 14. Let g(z) be the third derivative of u(z). Factor g(v).
(v - 1)**3*(v + 1)/3
Find n such that 80*n**4 - 15*n**3 - 36*n**2 + 99*n - 240 - 77