*(s - 1)*(s + 1)**2/2
Let b(p) be the third derivative of p**5/630 - 5*p**4/252 - 2*p**3/21 - 18*p**2. Factor b(z).
2*(z - 6)*(z + 1)/21
Let i(j) = -11*j**2 - 13*j - 2. Let c(d) = 21*d**2 + 25*d + 4. Let r(z) = 4*c(z) + 9*i(z). Factor r(f).
-(f + 1)*(15*f + 2)
Let v(c) be the first derivative of 2*c**6/3 + 12*c**5/5 - 4*c**4 - 64*c**3/3 + 64*c + 6. Find q such that v(q) = 0.
-2, 1, 2
Let m(x) = -x**3 - 4 + 0 + x - x**2 + 5. Let o(z) = 5*z**3 + 8*z**2 - 4. Let l(k) = 12*m(k) + 3*o(k). Solve l(i) = 0 for i.
-2, 0
Let h be (-27)/18 + (-3)/(-2). Let m(d) be the third derivative of -1/20*d**6 + 1/6*d**3 + 1/6*d**4 + h + 0*d + d**2 + 1/60*d**5. Suppose m(n) = 0. Calculate n.
-1/2, -1/3, 1
Let f(c) be the second derivative of -3*c**5/20 - 3*c**4/2 + c**3/2 + 9*c**2 - 17*c. Determine y so that f(y) = 0.
-6, -1, 1
Let y(o) be the second derivative of -1/3*o**3 + 0*o**2 + 0 - 1/6*o**4 + 4*o. Solve y(n) = 0 for n.
-1, 0
Let y(x) = -x**2 - 30*x - 56. Let p be y(-28). Factor p - 4/5*u**3 + 0*u + 0*u**2 + 4/5*u**4.
4*u**3*(u - 1)/5
Let s(g) be the second derivative of -g**7/35 - 2*g**6/75 + 2*g**5/25 + g**4/15 - g**3/15 + 11*g. What is q in s(q) = 0?
-1, 0, 1/3, 1
Suppose 4*w - 2 = -6, -2 = a + 2*w. Suppose a = s - 2. Factor -s*v + 3*v - 3 + 2*v**2 + 5 + 3*v.
2*(v + 1)**2
Factor 4*k - 8/3 - 4/3*k**2.
-4*(k - 2)*(k - 1)/3
Let q = -24 - -217/9. Let i(u) be the first derivative of 2 + 0*u**2 + q*u**3 - 1/3*u. Factor i(d).
(d - 1)*(d + 1)/3
Let c(z) = -z**2 + 2*z. Let p be c(2). Let o(b) be the second derivative of 0*b**2 + 1/10*b**5 - 1/6*b**4 + p*b**3 + b + 0. Determine n, given that o(n) = 0.
0, 1
Suppose 0 - 1/2*p**5 + 0*p + 3/2*p**4 + 1/2*p**3 - 3/2*p**2 = 0. What is p?
-1, 0, 1, 3
Suppose -48 = -7*p - 5*p. Factor 2/3 + m**p + 5*m**2 - 11/3*m**3 - 3*m.
(m - 1)**3*(3*m - 2)/3
Let i(c) = -c**3 + 6*c**2 + 7*c + 2. Let m be i(7). Let y be 9/8*(-2)/(-3). Factor -1/4*w**4 - 1/2 + 1/4*w - 1/4*w**3 + y*w**m.
-(w - 1)**2*(w + 1)*(w + 2)/4
Let i(a) be the first derivative of a**6/6 - 3*a**5/5 + a**4/2 + 2*a**3/3 - 3*a**2/2 + a + 19. Factor i(n).
(n - 1)**4*(n + 1)
Let l = -5 - -8. Suppose 5*i + l*y = 32, -2*i = 2*i - 4*y. Solve -6*t**2 + 3*t**2 + i*t**3 - 5*t**3 - 1 - 3*t = 0.
-1
Let a(c) = c**4 - 4*c**3 - 3*c**2 + 3*c - 3. Let j(w) = -2*w**4 + 7*w**3 + 5*w**2 - 5*w + 5. Let o(i) = 10*a(i) + 6*j(i). Factor o(f).
-2*f**3*(f - 1)
Let n be (-6)/18 + (-15)/(-18). Let g(a) be the first derivative of -n*a - 1/12*a**3 + 3/8*a**2 - 2. Factor g(w).
-(w - 2)*(w - 1)/4
Let s(j) = 7*j**2 + j - 2. Let o be s(1). Let q(z) = z**2 - 5*z - 6. Let w be q(o). Factor 0*l + 1/4*l**2 + w.
l**2/4
Let j(h) be the first derivative of h**3/9 + h**2 + 5*h/3 - 1. Solve j(v) = 0.
-5, -1
Let z(t) be the third derivative of -t**7/2520 + t**6/360 + t**4/4 - t**2. Let o(r) be the second derivative of z(r). What is q in o(q) = 0?
0, 2
Let u(t) = 6*t**3 + 7*t**2 - t - 2. Let l(j) = 19*j**3 + 22*j**2 - 4*j - 7. Let i(b) = 2*l(b) - 7*u(b). Factor i(d).
-d*(d + 1)*(4*d + 1)
Let y(f) = f**3 + 13*f**2 + 17*f + 15. Let u be y(-11). Let i = 214/3 - u. Factor i + 1/3*g**2 - 4/3*g.
(g - 2)**2/3
Factor 0 + 27/2*h**2 - 3/2*h**4 + 15/2*h + 9/2*h**3.
-3*h*(h - 5)*(h + 1)**2/2
Suppose 4*g = -1 - 7. Let b = 4 + g. Find w such that -b*w + w**2 + 4*w - 4*w = 0.
0, 2
Let n(x) be the third derivative of -x**5/20 - x**4/24 + x**3/3 - x**2. Factor n(v).
-(v + 1)*(3*v - 2)
Let w(x) be the second derivative of 0*x**4 - 1/2*x**3 + 0 - x**2 + 1/20*x**5 - x. Let w(z) = 0. What is z?
-1, 2
Let m be (0 + -2)/(-2 - 8). Determine c so that 1/5*c**3 + 2/5 - 2/5*c**2 - m*c = 0.
-1, 1, 2
Let h(c) = -c**4 + 3*c**3 - 3*c**2 + 5*c - 4. Let o(x) = -x**3 + x**2 - x + 1. Suppose 0 = -4*u + 4. Let l(s) = u*h(s) + 4*o(s). Determine b so that l(b) = 0.
-1, 0, 1
Let l(g) be the third derivative of 0*g + 1/120*g**6 - 1/6*g**3 - 4*g**2 + 1/8*g**4 - 1/20*g**5 + 0. Factor l(c).
(c - 1)**3
Let d(n) = -7*n**4 + 7*n**3 + 47*n**2 + 7*n - 11. Let r(u) = 6*u**4 - 8*u**3 - 48*u**2 - 6*u + 10. Let y(z) = -6*d(z) - 5*r(z). What is b in y(b) = 0?
-4/3, -1, 1/2, 2
Let c = -56 - -58. Factor 0 - 2/3*k - 1/3*k**3 - k**c.
-k*(k + 1)*(k + 2)/3
Let p be (2/6)/(4/24). Let v(n) = -7*n**5 - n**3 - 7*n + 5. Let j(k) = -3*k**5 - 3*k + 2. Let y(m) = p*v(m) - 5*j(m). Factor y(r).
r*(r - 1)**2*(r + 1)**2
Let v(q) = q**2 - 19*q - 13. Let k(n) = n**2 - 13*n - 9. Let x(y) = 7*k(y) - 5*v(y). Factor x(i).
2*(i + 1)**2
Let h be 1 + 3 + (13 - 14). Factor -3*a**3 - 2*a**3 + 4*a**4 - 4*a**2 - 2*a**3 + h*a**3 + 4*a.
4*a*(a - 1)**2*(a + 1)
Let h = -244 + 246. Factor 3/5*n**h + 6/5*n + 0.
3*n*(n + 2)/5
Let r be (-50 - -51)/(1/2). Factor 1/4*o**5 + 0*o**4 + 1/4*o + 0 - 1/2*o**3 + 0*o**r.
o*(o - 1)**2*(o + 1)**2/4
Let g be (-4)/7 - 408/(-420). Factor 0 + 2/5*f**2 - 2/5*f**4 + 2/5*f**5 - g*f**3 + 0*f.
2*f**2*(f - 1)**2*(f + 1)/5
Let v(p) be the second derivative of p**4/24 - p**3/6 - 2*p**2 + 16*p. Factor v(b).
(b - 4)*(b + 2)/2
Let c = 7/4 + -1/4. Suppose -2*a = v - 13, -3*a + 4 + 2 = -3*v. Suppose 1/2*y - 1/2*y**4 + 0 - 3/2*y**2 + c*y**v = 0. What is y?
0, 1
Let c(i) = i**2 + i + 1. Let z(l) = 8*l**2 + 46*l + 206. Let j(v) = 6*c(v) - z(v). Factor j(n).
-2*(n + 10)**2
Let -53*a + 8*a - 87*a**3 + 25*a**2 - 6 - 12*a**3 - 136*a**2 - 27*a**4 = 0. What is a?
-2, -1, -1/3
Solve -8/9 - 38/9*n**3 - 14/9*n**4 - 2/9*n**5 - 32/9*n - 50/9*n**2 = 0 for n.
-2, -1
Suppose -n = -4 + 1. Find f, given that f**2 - 2 + 4*f + 17*f**2 + 8*f**n - 4*f**2 = 0.
-1, 1/4
Let d = -4 - -11. Factor d*p**3 - 2*p**2 + 0*p**5 - 10*p**3 - p**5 + p**2 - 3*p**4.
-p**2*(p + 1)**3
Let d(k) be the second derivative of 3*k**5/100 + k**4/4 + 9*k. What is i in d(i) = 0?
-5, 0
Let c = -5 + 8. Factor 9/4*w**2 + 9/4*w + 3/4 + 3/4*w**c.
3*(w + 1)**3/4
Let c(y) be the first derivative of y**3/9 + 2*y**2 + 12*y - 32. Factor c(n).
(n + 6)**2/3
Suppose -o - 3*h + 21 = o, -5*o + 4*h = -18. Let n be (-10)/8*o/(-45). Find b such that -1/3 - n*b**2 + 1/2*b = 0.
1, 2
Let y(h) = 36*h**3 - 16*h**2 - 36*h + 16. Let n(f) = -2*f**2 + f**2 + 3 - 3*f**2 + 7*f**3 + f**2 - 7*f. Let l(a) = 16*n(a) - 3*y(a). Let l(v) = 0. Calculate v.
-1, 0, 1
Let v(n) be the third derivative of n**5/15 - 29*n**4/24 + 7*n**3/6 - 18*n**2. Let v(f) = 0. What is f?
1/4, 7
Suppose 4*m = 9*m - 15. Let l(f) be the first derivative of -2*f - 3*f**2 - 1 - 3/2*f**m. Factor l(j).
-(3*j + 2)**2/2
Find j, given that 992 + 6*j**2 - 992 - 9*j**3 = 0.
0, 2/3
Let s be 4*2/(2 + 0). Suppose t + 0*t**4 - 3*t**2 + 3*t**3 - t**4 + t**s - t**4 = 0. What is t?
0, 1
Factor 8/5*j**2 + 26/15*j**3 + 8/15*j + 0 + 2/15*j**5 + 4/5*j**4.
2*j*(j + 1)**2*(j + 2)**2/15
Factor 2 - 1 + 3*m - 3 - 2*m**2 + m.
-2*(m - 1)**2
Let v(a) be the third derivative of a**8/448 - a**7/140 + a**5/40 - a**4/32 + 3*a**2. Factor v(c).
3*c*(c - 1)**3*(c + 1)/4
Let j be -17 - (1 + -1 + 3). Let h = -18 - j. Let 2/7*b**h + 2/7*b**3 + 0 - 2/7*b - 2/7*b**4 = 0. What is b?
-1, 0, 1
Let a(m) = m**3 - 6*m**2 + m - 2. Let c be a(6). Let u = c - 2. Factor 0*q**2 + 2*q**u + q**3 + q**3.
2*q**2*(q + 1)
Let c(u) be the third derivative of u**6/40 - u**5/10 - u**4/8 + u**3 + 13*u**2. Factor c(w).
3*(w - 2)*(w - 1)*(w + 1)
Let n be 2 + 9/(-4) + 7/7. Determine i, given that -3/2*i + n + 3/4*i**2 = 0.
1
Let n be 1/3 + (-44)/(-12). Suppose n = 3*y - y. Determine j, given that 2*j**4 - y*j**2 - 6 + 2*j**3 - 2*j**5 + 6 = 0.
-1, 0, 1
Let k be ((-56)/20)/(-1)*-5. Let h be k/21 - (-1)/1. Factor -h*p**2 - 1/3*p + 0.
-p*(p + 1)/3
Let j(d) be the first derivative of -d**6/33 + 14*d**5/55 - 19*d**4/22 + 50*d**3/33 - 16*d**2/11 + 8*d/11 + 14. Factor j(f).
-2*(f - 2)**2*(f - 1)**3/11
Let q(l) be the third derivative of l**9/272160 - l**7/7560 - l**6/1620 + 3*l**5/20 - l**2. Let g(s) be the third derivative of q(s). Find r such that g(r) = 0.
-1, 2
Let m(r) be the third derivative of -r**6/40 - r**5/10 + r**4/8 + r**3 + 5*r**2. Factor m(h).
-3*(h - 1)*(h + 1)*(h + 2)
Factor r + 1/4*r**4 - 3/4*r**2 - 1/2*r**3 + 1.
(r - 2)**2*(r + 1)**2/4
Let t(p) be the first derivative of -1/4*p**4 - 1 + 4/3*p**3 + 2*p - 5/2*p**2. Factor t(m).
-(m - 2)*(m - 1)**2
Let q(a) be the third derivative of -a**7/175 + a**6/200 + a**5/100 + 18*a**2. Determine t, given that q(t) = 0.
-1/2, 0, 1
Let g(s) be the second derivative of s**5/20 + s**4/3 + 5*s**3/6 + s**2 + 9*s