179*q + 177*q + 4*q**3 - 4.
2*(q - 1)*(q + 1)*(q + 2)
Let b(s) be the third derivative of s**9/90720 - s**8/10080 + s**7/3780 - s**5/15 + 3*s**2. Let z(n) be the third derivative of b(n). Factor z(j).
2*j*(j - 2)*(j - 1)/3
Let h(g) be the first derivative of 0*g - 2/3*g**3 + 0*g**2 - 3 - 3/4*g**4 - 1/5*g**5. Factor h(n).
-n**2*(n + 1)*(n + 2)
Let x(k) be the third derivative of k**7/1260 + k**6/360 - k**5/360 - k**4/72 + 6*k**2. Suppose x(n) = 0. Calculate n.
-2, -1, 0, 1
Let c(k) be the third derivative of -k**8/28 - 8*k**7/105 + 17*k**6/30 + 6*k**5/5 - 10*k**4/3 - 16*k**3/3 - 26*k**2. Let c(d) = 0. Calculate d.
-2, -1/3, 1, 2
Let c be 6/(-15) - (-112)/105. Let s(x) be the third derivative of 0*x + 0 + c*x**3 + 1/60*x**5 - 1/6*x**4 + x**2. Factor s(f).
(f - 2)**2
Let l(b) be the first derivative of b**6/30 - 4*b**5/25 + b**4/5 + 2*b**3/15 - b**2/2 + 2*b/5 - 4. Determine a so that l(a) = 0.
-1, 1, 2
Let o(b) be the third derivative of -b**6/1020 - b**5/510 + b**4/204 + b**3/51 - 15*b**2. Let o(r) = 0. Calculate r.
-1, 1
Suppose -2*c + 2*k + 6 = 0, c - 5*k = 1 + 2. Let v(t) be the third derivative of 0*t**4 + 0*t + 0 + 0*t**c + 1/540*t**6 + 2*t**2 + 1/270*t**5. Factor v(d).
2*d**2*(d + 1)/9
Suppose -3*y + 2*l + 31 = -7, -24 = -4*y - 4*l. Let f be 6/y + 21/(-35). What is k in 4/5*k**2 + 2/5*k**3 + 0 + f*k = 0?
-2, 0
Let c(t) be the second derivative of -1/168*t**7 - 1/24*t**3 + 0*t**6 + 0 + t + 1/40*t**5 + 0*t**2 + 0*t**4. Solve c(j) = 0.
-1, 0, 1
Let q(f) = 1 + 2*f + 2*f + f**2 - 3*f + 0. Let k(r) = 4*r**2 + 5*r + 3. Let j be 18/3*(-1)/2. Let b(n) = j*q(n) + k(n). Solve b(o) = 0 for o.
-2, 0
Factor 19 + 12*r**2 - 11 - 20*r + 4*r**2 - 4*r**3.
-4*(r - 2)*(r - 1)**2
Let b(x) be the first derivative of -3*x**5/40 + x**4/12 + x**3/12 + x - 4. Let t(u) be the first derivative of b(u). Factor t(r).
-r*(r - 1)*(3*r + 1)/2
Let s(b) = b**2 + 1. Let a(m) = 11*m**2 + 12*m + 10. Let x(n) = -a(n) + 6*s(n). Factor x(z).
-(z + 2)*(5*z + 2)
Let x(f) be the second derivative of -f**4 + 7*f**3/2 + 3*f**2 - 2*f. Factor x(w).
-3*(w - 2)*(4*w + 1)
Suppose -4*w - 12 = 4*s + 4, -w - 3*s = 12. Let j = w - 0. Factor j + 1/2*f**2 + 0*f.
f**2/2
Let b be ((-12)/(-18))/(4/18). Determine f so that 2 - 8*f + 12*f**2 + 0 - 5*f**b + 4*f - 5*f = 0.
2/5, 1
Factor 0 + 4/3*j**4 + 4/9*j**2 - 4/3*j**3 + 0*j - 4/9*j**5.
-4*j**2*(j - 1)**3/9
Let c = 1441 - 924. Let k = c + -1507/3. What is t in -2/3 - k*t**2 - 16/3*t - 6*t**4 - 16*t**3 = 0?
-1, -1/3
Suppose 5 = -f - 4*f. Let l be (1 - 1) + (1 - f). Factor -4*o - 9*o**3 - 6*o**2 - 3*o**l - 5*o**2 - o**3.
-2*o*(o + 1)*(5*o + 2)
Factor 2*r**3 + 47*r**2 - 62*r**2 - 11*r**3 + 9*r + 3 + 12*r**4.
3*(r - 1)**2*(r + 1)*(4*r + 1)
Let t(g) be the second derivative of -g**4/18 - g**3/3 - 2*g**2/3 - 3*g. Solve t(z) = 0 for z.
-2, -1
Let p(t) = -t - 4. Let m be p(-7). Let b = 244 + -969/4. Find k such that -2*k**3 + 1/2*k + 0 + m*k**5 - b*k**2 + 13/4*k**4 = 0.
-1, 0, 1/4, 2/3
Let w be (-2 - (-20)/(-6))/(-2). Let m be 8/3*(4 + -3). Factor w*x - 2/3*x**2 - m.
-2*(x - 2)**2/3
Let c(s) be the first derivative of 0*s - 4/27*s**3 - 1/18*s**4 - 1/9*s**2 - 3. Suppose c(d) = 0. Calculate d.
-1, 0
Let u(n) be the third derivative of n**6/840 - n**4/168 - 8*n**2. Factor u(h).
h*(h - 1)*(h + 1)/7
Determine w so that 9/2*w**2 + 5/2*w**4 - 1/2*w - 1 + 13/2*w**3 = 0.
-1, 2/5
Let l(h) = h**3 - 7*h**2 + 6*h. Let f be l(6). Let z be 1*((-4)/2 - -5). Solve -2/7*a**2 - 4/7*a**z + 0*a - 2/7*a**4 + f = 0.
-1, 0
Suppose 0*a + 2*a = 4*o + 4, a = 5*o + 5. Factor 1/5*z**2 + 0 + a*z.
z**2/5
Let o = 130/7 + -106/7. Let 0 + o*f**2 + 12/7*f**4 + 26/7*f**3 + 8/7*f + 2/7*f**5 = 0. Calculate f.
-2, -1, 0
Let x(h) be the first derivative of 729/2*h**4 - 324*h**3 + 108*h**2 + 3 - 16*h. Solve x(c) = 0.
2/9
Let j = 1/50 + 97/150. Factor 0*m**2 + 4/3 + 2*m - j*m**3.
-2*(m - 2)*(m + 1)**2/3
Let v = 32 + -27. Determine w, given that -4*w**2 - w**3 + 6*w + v*w**2 - 4*w = 0.
-1, 0, 2
Let h(q) = -3*q**3 - 3*q**3 + q**2 + 5*q**3 + 1. Let t(k) = 12*k**3 - 8*k**2 - 2*k - 12. Let l(d) = 10*h(d) + t(d). Factor l(y).
2*(y - 1)*(y + 1)**2
Let u = 1395796/9537 + 322/867. Let d = -146 + u. Determine i so that -26/11*i**3 - 2/11*i**5 - 24/11*i**2 - d*i + 0 - 12/11*i**4 = 0.
-2, -1, 0
Let a = 5363 + -15932/3. Let l = 53 - a. Factor 4/3*o - 2/3 - l*o**2.
-2*(o - 1)**2/3
Let u be (-11)/(1188/(-696)) + (1 - 7). Let 0 + u*f**2 + 2/9*f**3 - 2/3*f = 0. Calculate f.
-3, 0, 1
Let b(k) be the third derivative of -k**5/150 - k**4/30 + 8*k**2. Suppose b(l) = 0. Calculate l.
-2, 0
Let a = -17 - -8. Let x be a/3 + 6 - 0. What is i in 0 + 3/2*i**x - 3/2*i**4 + 0*i + 1/2*i**5 - 1/2*i**2 = 0?
0, 1
Let u(r) be the third derivative of r**6/600 - r**5/300 - r**4/120 + r**3/30 + 9*r**2. Factor u(p).
(p - 1)**2*(p + 1)/5
What is k in -3/7 - 30/7*k**3 - 30/7*k**2 - 15/7*k**4 - 15/7*k - 3/7*k**5 = 0?
-1
Let a be 12/(-6)*2/(-10). Let g(u) be the second derivative of -1/3*u**4 + 0*u**2 - 1/10*u**5 + 2*u + a*u**6 + 1/6*u**3 + 0 + 3/14*u**7. Solve g(y) = 0 for y.
-1, 0, 1/3
Let g(r) = 3*r**2 + 4*r + 6. Let n(o) = o**2 + 1. Let k(s) = g(s) - 2*n(s). Find p such that k(p) = 0.
-2
Suppose 0*f + 5*z = -f + 530, 0 = 5*f + 3*z - 2628. Let h be ((-28)/(-48))/(1/f). Let 214*y**3 + h*y**5 - 48*y**2 + 0 + 4*y - 420*y**4 = 0. What is y?
0, 2/7, 2/5
Let q(o) be the second derivative of o**6/90 + o**5/30 - o**4/9 - o**3/9 + o**2/2 - 15*o. Solve q(l) = 0 for l.
-3, -1, 1
Suppose 0 = -2*u - 4*l + 20, -4*l + 16 = 3*u - 4. Let i(z) be the third derivative of u*z**3 + 0 - 1/150*z**5 + z**2 - 1/60*z**4 + 0*z + 1/50*z**6. Factor i(q).
2*q*(2*q - 1)*(3*q + 1)/5
Let s(k) = k**4 - k + 1. Let d(h) = -20*h**4 - 18*h**3 + 10*h**2 + 24*h - 2. Let a(x) = d(x) + 6*s(x). Determine f so that a(f) = 0.
-1, -2/7, 1
Let y be (32/140)/((-6)/65). Let h = y + 22/7. Find f, given that 8/3 + h*f**2 - 8/3*f = 0.
2
Suppose -2*h = 5*t - 2*t - 20, 4*h + 2*t = 24. Determine f so that -2 + 11*f**2 - 3*f**2 + 4*f + 4*f**5 - 2 - 4*f**h - 8*f**3 = 0.
-1, 1
Let b be 12/2 - (8 + -4). What is l in -10*l**b + 6*l**2 + 10*l**2 + 3*l**3 = 0?
-2, 0
Let s(w) be the second derivative of w**7/420 - w**5/20 - w**4/6 + w**3/3 - w. Let h(v) be the second derivative of s(v). Factor h(a).
2*(a - 2)*(a + 1)**2
Let v(j) be the third derivative of 0 + 0*j - j**2 - 1/360*j**5 - 1/18*j**3 - 1/48*j**4. Factor v(q).
-(q + 1)*(q + 2)/6
Factor 4*c**3 - 485 + 511 + 220*c + 52*c**2 + 274.
4*(c + 3)*(c + 5)**2
Let c(j) = -15*j**2 - 132*j + 29. Let o be c(-9). Let -1/2*l**3 - 3/2*l**o + 1 + 1/2*l + 1/2*l**4 = 0. Calculate l.
-1, 1, 2
Let m(o) = -o**3 - 6*o**2 - o - 8. Let p be m(-6). Let f be (p/4 - -1)*3. Factor -1/2 + 1/2*n**3 - 3/2*n**2 + f*n.
(n - 1)**3/2
Let m(d) = -d**4 + 4*d**3 - 4*d**2 + d. Let k(c) = c**3 - c**2. Let q(o) = 5*k(o) - m(o). Suppose q(g) = 0. Calculate g.
-1, 0, 1
Solve 4/7*t**3 + 0 + 0*t + 8/7*t**2 = 0 for t.
-2, 0
Let m(i) be the first derivative of 2*i**5/11 + 7*i**4/22 + 4*i**3/33 + 6. Let m(x) = 0. What is x?
-1, -2/5, 0
Let y(c) = c - 7. Let j be y(7). Let v(u) be the third derivative of 0*u**4 + j + 1/210*u**5 + 0*u - 2*u**2 - 1/21*u**3. Factor v(z).
2*(z - 1)*(z + 1)/7
Let w(q) be the first derivative of q**4/22 - 8*q**3/33 + 3*q**2/11 - 22. Factor w(y).
2*y*(y - 3)*(y - 1)/11
Let f(c) = c**2 + 4*c - 6. Let q be f(-6). Let h = 9 - q. Let -2/3 + 0*b**2 + 2/3*b**4 + 4/3*b - 4/3*b**h = 0. Calculate b.
-1, 1
Let w(b) be the first derivative of -b**6/9 + 2*b**5/15 + b**4/6 - 2*b**3/9 + 33. Factor w(l).
-2*l**2*(l - 1)**2*(l + 1)/3
Let w = -122 + 122. Let u = 4 - -1. Suppose -4/7*a**4 - 2/7*a + 4/7*a**2 + 2/7*a**u + w*a**3 + 0 = 0. Calculate a.
-1, 0, 1
Let z(y) be the first derivative of -3*y**4/8 - 2*y**3 + 6. Determine c so that z(c) = 0.
-4, 0
Let u(w) be the second derivative of 0*w**2 + 0 + 5/42*w**4 - 2/21*w**3 + w. Factor u(t).
2*t*(5*t - 2)/7
Let w(d) = -d**4 - d**2 - d + 1. Let i(k) = 12*k**4 + 6*k**3 + 12*k**2 - 13*k + 5. Let s(v) = 2*i(v) + 22*w(v). Find j, given that s(j) = 0.
-4, 1
Let z = 10 + 0. Let b = z + -6. Factor 3*x**b + 2*x**3 - 3*x**4 - 2*x + 1 + 2*x**4 - 3*x**4.
-(x - 1)**3*(x + 1)
Let l = 39 - 39. Factor 1/5*n**2 + 0*n**3 - 1/5*n**4 + l*n + 0.
-n**2*(n - 1)*(n + 1)/5
Let g be (-3)/((-306)/56) - (-76)/646. Suppose 4/9 + 2/9*a**2 - g*a = 0. Calculate