+ 2)/7
Factor -18*n**3 + 17*n**3 + 7*n + n - 2*n**2.
-n*(n - 2)*(n + 4)
Let y be ((-1)/2)/(3/(-18)). Find t, given that 36/5*t**2 + 18/5*t + 9/5*t**4 + 3/5 + 6*t**y = 0.
-1, -1/3
Let b be -2 + 2 - (7 + 1). Let x be 6/b - (-6)/8. Let x + 0*w + 2/5*w**2 = 0. Calculate w.
0
Suppose 6/7*o - 2/7*o**5 + 6/7*o**4 - 4/7*o**2 - 2/7 - 4/7*o**3 = 0. What is o?
-1, 1
Let a(d) be the first derivative of -d**3/4 + 3*d/4 - 23. Find v, given that a(v) = 0.
-1, 1
Suppose 19*q + 12 = 23*q. Factor 2/9*r**q + 10/9*r + 8/9*r**2 + 4/9.
2*(r + 1)**2*(r + 2)/9
Let h(v) be the second derivative of -v**6/10 - 3*v**5/10 + v**3 + 3*v**2/2 - 6*v. Factor h(n).
-3*(n - 1)*(n + 1)**3
Let h(z) be the first derivative of -2/45*z**5 + 1/9*z**4 - 3 + 2/9*z - 2/9*z**2 + 0*z**3. Factor h(b).
-2*(b - 1)**3*(b + 1)/9
Suppose f + 0 - 2 = 0. Suppose 3*x - 7 = -1. Solve -3*h**f + h**x + 7*h - 4 - h = 0 for h.
1, 2
Let b(n) be the third derivative of n**9/7560 + n**8/6300 - n**7/2100 - n**6/1350 - 5*n**3/6 - n**2. Let k(a) be the first derivative of b(a). Solve k(o) = 0.
-1, -2/3, 0, 1
Let y = 7 + -1. Let l(t) be the second derivative of 77/60*t**5 - 49/90*t**y + 2/9*t**3 + 0 - 2*t + 0*t**2 - 8/9*t**4. Factor l(z).
-z*(z - 1)*(7*z - 2)**2/3
Suppose -2*o + 16 = -7*c + 3*c, 2*o = -4*c + 16. Factor -1 + 5/2*l + o*l**2 + 9/2*l**3.
(l + 1)**2*(9*l - 2)/2
Suppose 5*i - 25 - 15 = 0. Suppose i*h - 15 = 3*h. Factor 2/3 + 1/3*q**4 - 7/3*q + 3*q**2 - 5/3*q**h.
(q - 2)*(q - 1)**3/3
Let b(h) be the first derivative of -h**4/8 + 2*h**3/3 - 3*h**2/4 - 17. Suppose b(w) = 0. Calculate w.
0, 1, 3
Let q be (-320)/96*2/(-10). Factor -2/3 + 2/3*v + q*v**2 - 2/3*v**3.
-2*(v - 1)**2*(v + 1)/3
Let m(g) be the third derivative of -g**5/210 + g**4/84 + 2*g**3/21 - 7*g**2. Factor m(n).
-2*(n - 2)*(n + 1)/7
Let v(c) be the second derivative of 1/4*c**3 - 1/24*c**4 - 1/2*c**2 - 3*c + 0. What is b in v(b) = 0?
1, 2
Let g(l) = -l**2 + 2*l - 1. Let r be g(1). Suppose r = -2*h - h + 6. Factor -h*p**4 - p**5 - p**3 + p**3 - p**2 + p**3 + 3*p**2.
-p**2*(p - 1)*(p + 1)*(p + 2)
Let w(p) be the third derivative of -p**6/120 - p**5/20 - p**4/8 - p**3/6 - 35*p**2. Find u such that w(u) = 0.
-1
Suppose -2*j + 3*o = 8, 5*o - 16 = 5*j - 3*j. Let i(u) be the first derivative of 1/8*u**4 + 0*u - 1/4*u**j + 1/10*u**5 - 1/6*u**3 + 1. Solve i(p) = 0.
-1, 0, 1
Let 4*d - 2/3*d**4 + 10/3*d**2 - 4/3*d**3 + 0 = 0. What is d?
-3, -1, 0, 2
Let p be 1 - 1/((-1)/2). Factor 4 - 2 - 2 - v + p*v**2.
v*(3*v - 1)
Let a = 292/3 + -5839/60. Let p(w) be the third derivative of 0*w + 0*w**4 + 0*w**5 + 2*w**2 + 0 + 1/105*w**7 - a*w**6 + 0*w**3. Factor p(r).
2*r**3*(r - 1)
Suppose 0 = -4*r - 3*x - 1, x = -5*r + r + 5. Factor -12/5 + 14/5*q + 6/5*q**r.
2*(q + 3)*(3*q - 2)/5
Let i be (3 + (-17)/7)*7. Let j(f) be the second derivative of -1/15*f**6 + 0*f**2 + 1/6*f**i - f + 0 - 1/10*f**5 + 1/3*f**3. Suppose j(x) = 0. Calculate x.
-1, 0, 1
Let z(f) be the second derivative of -1/60*f**4 + 0 - 1/15*f**3 + 0*f**2 - 3*f. Solve z(t) = 0.
-2, 0
Let v be (-812)/30 - 4/(-10). Let g = v - -256/9. Factor 8/3*r + 4/3*r**2 + 2/9*r**3 + g.
2*(r + 2)**3/9
Let r(j) be the third derivative of 1/840*j**7 + 1/240*j**6 + 0*j**3 + 0*j - 8*j**2 + 0 + 0*j**4 + 0*j**5. Factor r(v).
v**3*(v + 2)/4
Determine o, given that -2*o**2 + 2/3*o**3 - 5/3*o + 7/3*o**4 + o**5 - 1/3 = 0.
-1, -1/3, 1
Let m be 2 + 10/(-2) + 7. Solve 6 + 5*i + 0 + 4*i**2 + i**3 - m = 0.
-2, -1
Let f be 4*1*1/(-9). Let q = f - -25/36. Factor -1/4*o + 1/2*o**3 - 1/4 - 1/4*o**5 - q*o**4 + 1/2*o**2.
-(o - 1)**2*(o + 1)**3/4
Let l be -33*4/(-3) + 2*-1. Solve -4 + l*n + 343/2*n**3 - 147*n**2 = 0 for n.
2/7
What is f in -1/2*f + 7/4*f**2 + 0 = 0?
0, 2/7
Let p be (-2 + 30/9)*3. What is t in 0*t**4 + 3*t - 5*t + t**p + 2*t**3 - t**2 = 0?
-2, -1, 0, 1
Let o(y) be the third derivative of -y**7/30 - y**6/4 - 43*y**5/60 - y**4 - 2*y**3/3 - 5*y**2. Factor o(j).
-(j + 1)**2*(j + 2)*(7*j + 2)
Let n(w) be the second derivative of -w**5/30 + 2*w**4/9 + 9*w. Let n(k) = 0. What is k?
0, 4
Let z(w) = 5 + 0*w + 2 + w. Let f be z(-5). Let 0*m**2 + 0*m**f + 3*m**2 - 4*m**2 = 0. What is m?
0
Suppose -6 = -3*d + 9. Factor -2*s**4 + 0*s**d - 4*s**2 + 4*s**2 - s**5 - s**3.
-s**3*(s + 1)**2
Let r = 1 - -1. Let q(k) = -1 + 10*k**2 - 5*k**2 + 1. Let j(w) = -4*w**2. Let x(v) = r*q(v) + 3*j(v). Suppose x(o) = 0. What is o?
0
Let h be (-4)/34 - 771/(-51). Suppose h*l - 12*l = 0. Factor 0*f**3 + 2/7*f**5 + 0*f + l*f**2 - 2/7*f**4 + 0.
2*f**4*(f - 1)/7
Suppose 7*t + 0 = 14. Let -2/3*b + 2/9*b**t + 4/9 = 0. What is b?
1, 2
Let n(m) be the third derivative of -5*m**8/336 - m**7/42 + m**6/24 + m**5/12 - 9*m**2. Factor n(i).
-5*i**2*(i - 1)*(i + 1)**2
Let d(a) be the third derivative of 0*a - 4/3*a**3 + 0 + 1/6*a**4 - 6*a**2 + 1/15*a**5. Suppose d(h) = 0. What is h?
-2, 1
Let c be 22/5 - (-16)/(-40). Let -28/3*s**3 - 15*s**2 + 49/3*s**c + 28/3*s - 4/3 = 0. What is s?
-1, 2/7, 1
Let c(b) be the third derivative of 0 - 3*b**2 + 0*b + 1/270*b**5 + 1/27*b**3 - 1/54*b**4. Let c(u) = 0. What is u?
1
Let r(h) be the first derivative of -h**7/336 + 7*h**6/720 - h**5/120 - 2*h**3/3 + 2. Let s(u) be the third derivative of r(u). Factor s(b).
-b*(b - 1)*(5*b - 2)/2
Let t(w) be the first derivative of 3/4*w**2 + 3*w + 1 - 1/2*w**3. Determine n so that t(n) = 0.
-1, 2
Solve -18*p**3 + 7*p**3 - 33*p**2 + 6*p**3 + 8*p**2 - 30*p = 0 for p.
-3, -2, 0
Suppose 26 = -3*w + 4*o, 5 = 3*o - 2*o. Let m be -2*(-2 + 3 + w). Solve 4*d**m - 3*d**2 + 0*d**2 = 0.
0
Let h = -55 - -57. Determine n so that -2/7*n**h - 4/7 + 6/7*n = 0.
1, 2
Let k(b) be the first derivative of -b**6/100 - 11*b**5/300 - b**4/30 + b**3/3 - 4. Let u(w) be the third derivative of k(w). Factor u(j).
-2*(j + 1)*(9*j + 2)/5
Let l(y) = -5*y**2 + 76*y - 251. Let t(s) = -10*s**2 + 153*s - 503. Let w(r) = -13*l(r) + 6*t(r). Suppose w(a) = 0. Calculate a.
7
Let o(r) be the third derivative of -r**5/120 + r**4/16 + r**3/3 - 19*r**2. Determine p, given that o(p) = 0.
-1, 4
Let b(o) be the second derivative of 0 + 1/90*o**5 + 0*o**2 + 6*o - 1/54*o**4 + 0*o**3. What is y in b(y) = 0?
0, 1
Factor 1/4*v**2 + 2*v + 4.
(v + 4)**2/4
Let t = 10 - 7. Suppose -2*z + t*w = -4*z + 6, 5*w + 15 = 5*z. Let 5*c + 4 - 5 - c**2 - z*c = 0. Calculate c.
1
Let z(p) = 3*p**3 - 11*p**2 - 6*p + 3. Let g(l) = l**3 - 5*l**2 - 3*l + 1. Let h = 5 + -3. Let n(i) = h*z(i) - 5*g(i). Factor n(j).
(j + 1)**3
Let x be 0/(0 - 6 - -3). Factor x*u + 4/7*u**3 + 2/7*u**4 + 0 + 2/7*u**2.
2*u**2*(u + 1)**2/7
Let k(a) be the first derivative of -2*a**5/35 + a**4/14 + 2*a**3/21 - a**2/7 - 4. Determine o so that k(o) = 0.
-1, 0, 1
Suppose 0*m = -4*v - 2*m - 4, 2*v + 2 = 4*m. Let o be v*(-1 + 3/(-3)). Solve -4*c**2 - c - c**2 + 4*c**o = 0 for c.
-1, 0
Factor -4/7*n**2 + 8/7*n**3 + 18/7 - 24/7*n + 2/7*n**4.
2*(n - 1)**2*(n + 3)**2/7
Factor 0 + 4/15*a + 8/15*a**3 + 6/5*a**2.
2*a*(a + 2)*(4*a + 1)/15
Let h be (-75)/(-24) + (-4)/32. Let v(q) be the third derivative of 0*q**4 + 0*q**6 + 0 + 0*q - h*q**2 + 1/3*q**3 + 1/105*q**7 - 1/15*q**5. Factor v(t).
2*(t - 1)**2*(t + 1)**2
Factor 3*k**3 + 15*k**2 + 2427*k - 2447*k + 2*k**3.
5*k*(k - 1)*(k + 4)
Let d = -2 - -6. Factor 5*h**2 + 7*h**3 + 11*h**4 - 3*h**d - 5*h**4 + h.
h*(h + 1)**2*(3*h + 1)
Let g(r) be the third derivative of r**6/160 + r**5/80 - r**4/32 - r**3/8 + 3*r**2. Factor g(n).
3*(n - 1)*(n + 1)**2/4
Let f = 9 + -15. Let v = 10 + f. Factor -x + x**3 + 5*x**4 - x**4 - x**2 - 3*x**v.
x*(x - 1)*(x + 1)**2
Let u = 5 - 3. Suppose 2*c - 25 = -5*h, 2*h + 1 = c + u. Factor -7*m**3 + 3*m**3 - m**4 - m**2 + 2*m**h.
-m**2*(m + 1)**2
Let g(l) be the second derivative of -l**7/18900 - l**4/3 + l. Let r(u) be the third derivative of g(u). Factor r(h).
-2*h**2/15
Let u(v) be the second derivative of v**7/21 - v**6/5 + v**5/10 + v**4/2 - 2*v**3/3 - 2*v. Factor u(i).
2*i*(i - 2)*(i - 1)**2*(i + 1)
Suppose 20 = 5*w - 0*w, -2*v - 2 = -2*w. Let h(f) be the first derivative of -3 + 4/9*f**2 + 8/9*f + 2/27*f**v. What is o in h(o) = 0?
-2
Let s be (63/2)/(1 - -2). Determine u so that -27/2*u**2 + 27/2*u**4 - 15/2*u**3 - 3*u + s*u**5 + 0 = 0.
-1, -2/7, 0, 1
Suppose -8 = -4*q + 2*q. Let b(g) be the second derivative of 1/7*g**3 - 2*g - 1/42*g**q - 2/7*g**2 + 0. Find o such that b(o) = 0.
1, 2
Let g(c) be the first derivative 