*2 - 2/3*g - 14/3*g**4.
-2*(g + 1)**3*(7*g - 2)/3
Let o = -79 + 81. Factor -9/5*q**3 + 0*q + 0 - 3/5*q**o - 3/5*q**5 - 9/5*q**4.
-3*q**2*(q + 1)**3/5
Let n = -847/10 - -85. Let b(r) be the first derivative of 5/6*r**3 - 1/4*r**2 + 0*r + 2 - 7/8*r**4 + n*r**5. Find o, given that b(o) = 0.
0, 1/3, 1
Solve -2*u**3 - 10*u + 9*u**2 - u**3 + 4*u = 0.
0, 1, 2
Suppose 1 = -3*o + 4*v, 7*o - 3*v = 3*o + 8. Let t = -4 + o. Let z(u) = 3*u**3 - 3*u - 2. Let x(l) = l**2 + 1. Let p(j) = t*z(j) + x(j). Solve p(w) = 0.
-1, -1/3, 1
Suppose 0 = 3*q - 2*t - 13, -3*t + 4*t + 2 = 0. Factor 6*z**4 + 5/2*z**5 + 0 + 9/2*z**q + z**2 + 0*z.
z**2*(z + 1)**2*(5*z + 2)/2
Suppose -10*w + 10*w + 13*w = 0. What is q in 0*q**2 + w + 0*q + 2/7*q**4 - 2/7*q**3 = 0?
0, 1
Let y(v) be the first derivative of 3*v**4/16 + 3*v**3/2 - 45*v**2/8 + 6*v + 12. Factor y(u).
3*(u - 1)**2*(u + 8)/4
Let d(j) = 4*j**3 - 10*j**2 + 14*j - 4. Let n(x) = 17*x**3 - 40*x**2 + 56*x - 15. Let b(w) = -9*d(w) + 2*n(w). Factor b(h).
-2*(h - 3)*(h - 1)**2
Let a(p) = p**3 - 4*p**2 - 6*p + 7. Let t be a(5). Let d be (-2)/(-19) - (-100)/855. Let 0 + 16/9*c**t - d*c - 32/9*c**3 = 0. What is c?
0, 1/4
Let m(q) be the second derivative of -3*q**5/5 - 2*q**4/3 + 2*q**3/3 + 25*q. Factor m(g).
-4*g*(g + 1)*(3*g - 1)
Let y be (-20)/15*(-81)/(-2). Let d be 8/(-36) + (-93)/y. Factor d - 3/4*r**2 + 3/4*r.
-3*(r - 2)*(r + 1)/4
Let g(i) be the first derivative of 6 + 0*i**4 + 0*i**3 + 0*i + 0*i**2 - 3/10*i**5 + 1/4*i**6. Factor g(f).
3*f**4*(f - 1)/2
Let j(i) be the first derivative of -i**6/6 - 3*i**5/5 - i**4/2 + 2*i**3/3 + 3*i**2/2 + i + 27. Factor j(d).
-(d - 1)*(d + 1)**4
Let b(g) be the first derivative of -g**6/120 + g**5/80 + g**4/48 - g**3/24 + 3*g - 2. Let h(n) be the first derivative of b(n). Factor h(t).
-t*(t - 1)**2*(t + 1)/4
Let j(h) = -h**4 - h**3 - h**2 + 1. Let t(o) = -o**5 + o**4 + o**3 + 5*o**2 - 5. Let x(u) = -15*j(u) - 3*t(u). Factor x(q).
3*q**3*(q + 2)**2
Let v = 232/285 - 4/285. Factor 14/5*r**4 - v*r**5 - 16/5*r**3 + 4/5*r + 4/5*r**2 - 2/5.
-2*(r - 1)**4*(2*r + 1)/5
Find c, given that 1/5*c**2 - 3/5*c + 0 = 0.
0, 3
Let p(z) be the third derivative of -z**6/30 + 11*z**5/5 - 121*z**4/2 + 2662*z**3/3 - z**2 - 17. Factor p(y).
-4*(y - 11)**3
Let m(j) be the third derivative of -2*j**2 + 0*j + 7/48*j**4 + 1/6*j**3 + 7/120*j**5 + 1/120*j**6 + 0. What is w in m(w) = 0?
-2, -1, -1/2
Let k(x) be the first derivative of -3*x**4/16 + 3*x**2/8 + 23. Suppose k(t) = 0. What is t?
-1, 0, 1
Suppose -30 = -4*z + z. Suppose -5*v + z = -2*n, -4*n + 0*n = 3*v + 20. Factor 0*g**2 - 1/3*g**3 + 1/3*g + v.
-g*(g - 1)*(g + 1)/3
Let c = -53 - -164/3. What is v in 5/3*v**2 - 3*v**3 - c*v**4 + 0 + 7/3*v**5 + 2/3*v = 0?
-1, -2/7, 0, 1
Factor -4/5*x + 2/5*x**2 + 0.
2*x*(x - 2)/5
Let y be ((-2)/(-3))/((-1)/(-2)). Factor -2/3 + y*n - 2/3*n**2.
-2*(n - 1)**2/3
Let m(r) be the second derivative of -4*r + 0*r**2 + 1/54*r**4 + 1/27*r**3 + 0. Find a, given that m(a) = 0.
-1, 0
Suppose 0 = 4*r + 5*h - 1355, -2*r + r - 2*h = -335. Let g = -3097/9 + r. Factor 8/9 + g*c + 2/9*c**2.
2*(c + 2)**2/9
Suppose -p + 25 = 5*u - 6*p, -4*p = 0. Let v(a) be the second derivative of 1/6*a**3 + 0 - 1/2*a**2 + 1/12*a**4 - 1/20*a**u - 2*a. Find t, given that v(t) = 0.
-1, 1
Let n(c) be the third derivative of -3*c**2 + 0*c + 0 + 0*c**3 + 0*c**4 + 1/270*c**6 + 1/135*c**7 + 0*c**5. Solve n(a) = 0.
-2/7, 0
Let t(k) be the first derivative of 2*k**4 - 2*k**3/3 - 16*k**2 + 8*k - 3. Factor t(h).
2*(h - 2)*(h + 2)*(4*h - 1)
Factor 0 + g**2 - 1/4*g**3 - g.
-g*(g - 2)**2/4
Let l(i) be the second derivative of 0*i**2 + 4*i + 1/120*i**5 + 1/36*i**3 + 0 - 1/36*i**4. Suppose l(y) = 0. Calculate y.
0, 1
Let d(p) be the second derivative of p**6/120 - p**5/40 + p**4/48 - 2*p. Solve d(v) = 0 for v.
0, 1
Factor -2/5*n**3 - 2/5*n**2 + 2/5*n + 2/5*n**4 + 0.
2*n*(n - 1)**2*(n + 1)/5
Suppose 0 = -4*h - r + 5, 5*h - 15 - 7 = 4*r. Suppose -4*g + 65 - 53 = 0. Find i such that 0*i**4 + 1/5*i**g - 1/5*i**5 + 0*i**h + 0*i + 0 = 0.
-1, 0, 1
Let z be (-6)/(-9)*-1*-6. Suppose -z*y - y + 25 = o, -2*y + 10 = 3*o. Factor o + 8/7*w**2 - 8/7*w + 6/7*w**3.
2*w*(w + 2)*(3*w - 2)/7
Let v(a) be the first derivative of a**6/14 + 6*a**5/35 - 3*a**4/28 - 2*a**3/7 - 17. Let v(m) = 0. Calculate m.
-2, -1, 0, 1
Let f(x) be the third derivative of -x**5/60 + x**4/6 - x**3/2 - 7*x**2. Factor f(j).
-(j - 3)*(j - 1)
Let o(z) = z**2 - 2*z - 1. Let w be o(3). Suppose 5*y**w + 0*y**4 - 23*y**2 + 7*y**3 + 20*y - 3 - 5 - y**4 = 0. Calculate y.
1, 2
Let y = -19/2 + 857/90. Let u(a) be the third derivative of 3*a**2 + y*a**5 - 1/180*a**6 + 0*a + 1/36*a**4 + 0 - 2/9*a**3. Factor u(t).
-2*(t - 2)*(t - 1)*(t + 1)/3
Let w(m) be the first derivative of -2*m**4/17 + 2*m**3/51 - 15. Determine b, given that w(b) = 0.
0, 1/4
Find a such that -4*a**2 + 0*a**3 + 2/3*a**4 - 2 + 16/3*a = 0.
-3, 1
Let h be (-41)/(-2)*(-3 - -1). Let m = h - -41. Factor -4/7*j**3 - 2/7*j**4 + 2/7*j**2 + 4/7*j + m.
-2*j*(j - 1)*(j + 1)*(j + 2)/7
Let d(n) be the third derivative of -n**8/2016 + n**7/252 - n**6/90 + n**5/90 - 9*n**2. Determine t, given that d(t) = 0.
0, 1, 2
Factor 4/17 - 8/17*i**2 - 14/17*i.
-2*(i + 2)*(4*i - 1)/17
Let r be (3 + -2 + 2)*10/20. What is z in -3/4*z**4 + 0 + r*z**3 - 3/4*z**2 + 0*z = 0?
0, 1
Let j(h) be the third derivative of 7*h**8/288 + h**7/18 - 13*h**6/180 + h**5/45 + 3*h**2. Factor j(b).
b**2*(b + 2)*(7*b - 2)**2/6
Let g(r) be the third derivative of r**7/1050 + r**6/300 + r**5/300 - 4*r**2. Factor g(f).
f**2*(f + 1)**2/5
Let r(f) be the second derivative of -f**6/10 + 3*f**5/20 + f**4/4 - f**3/2 + f. Factor r(s).
-3*s*(s - 1)**2*(s + 1)
Let k(d) = d**2 - d - 1. Let b(z) = -z**3 + 5*z**2 - 6*z - 5. Let g(x) = -2*b(x) + 14*k(x). Suppose g(i) = 0. What is i?
-2, -1, 1
Let h(v) = 3*v + 7. Let k be h(-3). Let w be k/2*36/(-63). Suppose 0 + w*z - 2/7*z**2 = 0. Calculate z.
0, 2
Let p = 19 + -15. Suppose p*h - 14 = -2. Factor 1/4*x - 1/4*x**5 - 1/2*x**2 + 0 + 0*x**h + 1/2*x**4.
-x*(x - 1)**3*(x + 1)/4
Suppose 0 - 16/3*u**2 + 10/3*u**3 - 8/3*u = 0. What is u?
-2/5, 0, 2
Let j(k) be the third derivative of -1/20*k**5 + 0*k + 4*k**2 + 0 - k**3 + 3/8*k**4. Factor j(s).
-3*(s - 2)*(s - 1)
Let o(r) = -4*r**5 + r**4 + 5*r**3 + 13*r**2 - 13*r - 29. Let h(k) = -k**5 + k**4 - k**3 - k**2 + k + 1. Let l(s) = -15*h(s) + 5*o(s). Factor l(c).
-5*(c - 2)**2*(c + 2)**3
Let n(m) be the second derivative of -m**6/150 + m**5/100 + m**4/15 - 2*m**3/15 + 15*m. Determine l so that n(l) = 0.
-2, 0, 1, 2
Let f(w) = 4*w**3 + 8*w**2 + 4*w + 3. Let i(b) = -b**3 - b**2 + b. Let r(h) = f(h) + 3*i(h). Determine n, given that r(n) = 0.
-3, -1
Let m(v) = -5*v**2 + 6*v - 5. Let z(b) = -b**2 + b - 1. Let f(j) = m(j) - 4*z(j). Find p, given that f(p) = 0.
1
Let v(p) be the first derivative of p**4/22 - 8*p**3/33 + 3*p**2/11 + 7. Factor v(z).
2*z*(z - 3)*(z - 1)/11
Suppose 2*r = -1 - 87. Let f be (-73)/r - (-3)/(-4). Solve f*t**2 - 4/11*t - 8/11*t**3 + 2/11*t**4 + 0 = 0.
0, 1, 2
Let v(w) be the first derivative of w**5 - 5*w**4/4 - 10*w**3/3 + 3. Factor v(j).
5*j**2*(j - 2)*(j + 1)
Suppose -4*p - 3 = -5*p. Suppose p*f + 4 = -4*n - 11, 2*n + f + 5 = 0. Let -1/3*x**3 + n - 1/3*x**2 + 0*x = 0. What is x?
-1, 0
Let p(h) = -3*h**4 - h**2 + 8*h. Let f(w) = -4*w**4 + w**3 - w**2 + 9*w. Let g(a) = -4*f(a) + 5*p(a). Suppose g(s) = 0. What is s?
-1, 0, 1, 4
Let n(u) be the first derivative of 0*u + 3/2*u**2 - 1/3*u**3 - 4. Factor n(w).
-w*(w - 3)
Suppose -262 = -5*v + 138. Let m be (-4)/26 + v/182. Determine g, given that 0 + m*g**3 + 0*g - 2/7*g**2 = 0.
0, 1
Let o(q) = 8*q**2 - 2*q. Let p(c) = c - 6*c**2 + 3 + 3*c**2 - 3. Let m(y) = -4*o(y) - 11*p(y). Factor m(x).
x*(x - 3)
Let p(r) = -r**2 + 11*r - 10. Let g be p(7). Let c be 2/3 - 4/g. Factor -2/9*m**2 + c*m - 2/9.
-2*(m - 1)**2/9
Let w(a) be the first derivative of -4*a**5/25 - 3*a**4/20 + 3*a**3/5 - a**2/5 + 10. Factor w(z).
-z*(z - 1)*(z + 2)*(4*z - 1)/5
Let o(j) be the first derivative of j**3/3 - 5*j**2 - 7*j + 5. Let q be o(11). Determine w so that 0 + 2/3*w**3 + 0*w**2 - 1/3*w - 1/3*w**5 + 0*w**q = 0.
-1, 0, 1
Factor -20081 + 80*k**3 + 20081 - 42*k**4 + 8*k**2.
-2*k**2*(k - 2)*(21*k + 2)
Factor 31*t - 5*t**2 - 27*t - 28*t + 2*t**2.
-3*t*(t + 8)
Suppose -2*h + 3 - 1 = 0. Suppose 2*o - 5 = -