 1/6*g + 5/6*g**2.
-g*(g - 1)*(3*g + 1)**2/6
Let i(o) = -10*o**2 + 14*o - 10. Let l = 17 - 10. Let n = 1 - l. Let g(m) = 1. Let s(w) = n*g(w) - i(w). Factor s(x).
2*(x - 1)*(5*x - 2)
Let m be 4/48 + 2/8. Let q = 5/6 - m. Factor -1/2*a**4 + 0*a**3 + 0*a + a**2 - q.
-(a - 1)**2*(a + 1)**2/2
Let a(f) be the second derivative of 1/90*f**6 - 1/36*f**4 + 0 + f + 0*f**2 + 0*f**5 + 0*f**3. What is g in a(g) = 0?
-1, 0, 1
Let p(f) = -8*f**5 + 4*f**4 - 18*f**3 + 20*f**2 - 4*f - 6. Let r(c) = -9*c**5 + 3*c**4 - 18*c**3 + 21*c**2 - 4*c - 7. Let v(u) = -7*p(u) + 6*r(u). Factor v(w).
2*w*(w - 2)*(w - 1)**3
Let j(s) be the first derivative of 14*s**3/9 - 16*s**2/3 + 8*s/3 - 1. Find u such that j(u) = 0.
2/7, 2
Let l(v) = -20*v**4 - 6*v**3 + 60*v**2 + 19*v. Let k(g) = g**4 + g. Let u(m) = -5*k(m) - l(m). Factor u(f).
3*f*(f - 2)*(f + 2)*(5*f + 2)
Let p(h) be the second derivative of -h**5/120 - h**4/12 - h**3/4 - 5*h**2 - 7*h. Let u(j) be the first derivative of p(j). Factor u(v).
-(v + 1)*(v + 3)/2
Factor 2/5 - 1/5*x**2 - 1/5*x.
-(x - 1)*(x + 2)/5
Suppose 0 - 2 = -3*s + m, 3*s + m = 10. Let f(h) be the second derivative of 0 + 2*h - 1/12*h**3 + 1/24*h**4 + 1/40*h**5 - 1/4*h**s. Factor f(t).
(t - 1)*(t + 1)**2/2
Let r(g) be the third derivative of g**5/40 + g**4/8 + 7*g**2. Let r(u) = 0. What is u?
-2, 0
Let m(v) = 5*v**2 + 3*v + 1. Let w be m(-2). Suppose 5*g - w = -3*l, 0 = -4*g + g - l + 9. Factor h**g + 0*h - 2*h**3 + h.
-h*(h - 1)*(h + 1)
What is v in -3/2*v**4 + 0 - 3/2*v**3 + 0*v**2 + 0*v = 0?
-1, 0
Let z = 316/2397 + -2/141. Let p = 28/51 + z. Find j, given that p*j**3 + 2/3 - 2/3*j - 2/3*j**2 = 0.
-1, 1
Let k(t) = -t**2 + t - 1. Let n(w) = 3*w**4 - 3*w**3 + 6*w**2 - 6*w + 9. Suppose -f = -3*f - 2. Let a(q) = f*n(q) - 9*k(q). Factor a(v).
-3*v*(v - 1)**2*(v + 1)
Let o(r) be the third derivative of r**8/1344 + r**7/120 + 17*r**6/480 + 17*r**5/240 + r**4/16 + 38*r**2. Solve o(x) = 0.
-3, -2, -1, 0
Let v be (-3)/2*32/12. Let c be ((-4)/v + 3)/1. Factor 1/3*l**3 + 0*l**c - 1/3*l**5 + 0*l + 0 + 0*l**2.
-l**3*(l - 1)*(l + 1)/3
Let l(j) be the second derivative of -j**6/180 + 2*j**5/45 - j**4/9 + j**3/6 - 2*j. Let v(f) be the second derivative of l(f). Solve v(i) = 0 for i.
2/3, 2
Suppose 0*q - 16 = -4*q. Suppose q*s - 10 = -s. Factor 2*u + u**3 - u**2 - 2*u**2 + 6*u**2 + 0*u**s.
u*(u + 1)*(u + 2)
Let i(s) be the third derivative of s**5/330 - s**4/66 - s**3/11 + 4*s**2. Suppose i(o) = 0. What is o?
-1, 3
Let b be (21/(-9))/((-21)/18). Determine y so that 0*y + 6/13*y**3 - 4/13*y**b - 2/13*y**4 + 0 = 0.
0, 1, 2
Let g be (-4)/14 - (-6)/21. What is b in -5*b**3 + g*b**3 - b + 2*b**3 + 4*b**3 = 0?
-1, 0, 1
Let u(f) be the third derivative of -15*f**8/616 - 19*f**7/385 - f**6/132 + 3*f**5/110 + f**4/66 - 28*f**2. Find o such that u(o) = 0.
-1, -1/3, 0, 2/5
Let s = 3358/13 - 258. Find t such that -s + 6/13*t - 2/13*t**2 = 0.
1, 2
Let v(d) be the second derivative of 1/80*d**5 + 2*d - 1/24*d**3 - 1/60*d**6 + 0 + 1/24*d**4 + 0*d**2. Factor v(w).
-w*(w - 1)*(w + 1)*(2*w - 1)/4
Let r(p) be the third derivative of 3*p**6/340 - 7*p**4/204 - 2*p**3/51 - 15*p**2. Let r(v) = 0. Calculate v.
-2/3, -1/3, 1
Let z(j) be the first derivative of j**5/15 - 2*j**3/3 + 4*j**2 - 8. Let p(d) be the second derivative of z(d). Factor p(k).
4*(k - 1)*(k + 1)
Let r(y) be the third derivative of 1/100*y**5 + 1/600*y**6 + y**2 + 1/40*y**4 + 0*y - 1/6*y**3 + 0. Let z(u) be the first derivative of r(u). Factor z(m).
3*(m + 1)**2/5
Determine x, given that -10/11*x + 8/11 + 2/11*x**2 = 0.
1, 4
Let c(j) be the first derivative of -j**4/42 + j**3/21 + j - 5. Let o(t) be the first derivative of c(t). Let o(g) = 0. Calculate g.
0, 1
Solve -5/2*s**2 - 5/2*s**3 + 40*s - 50 = 0.
-5, 2
Let s = -15515/7158 - -1/1193. Let y = 5/2 + s. Suppose -7/3*u**3 - y*u**2 + 5/3*u**4 - 1/3*u**5 + 8/3*u - 4/3 = 0. Calculate u.
-1, 1, 2
Let b = -7 + 12. Let o(r) be the second derivative of 0*r**2 - 1/21*r**3 + 1/70*r**b - 2*r + 0 + 0*r**4. What is z in o(z) = 0?
-1, 0, 1
Factor 12/7 + 6/7*t**2 + 27/7*t.
3*(t + 4)*(2*t + 1)/7
Suppose 4*i + 92 = -5*x, 3*i + 3*x + 69 = -x. Let o = 167/7 + i. Factor -o*a**2 + 2/7*a + 0.
-2*a*(3*a - 1)/7
Let w be (-2552)/(-18) + 10/15. Let z = -142 + w. Factor 0 - z*n**3 + 0*n - 2/9*n**4 - 2/9*n**2.
-2*n**2*(n + 1)**2/9
Let a(l) be the second derivative of 0 - 1/2*l**2 - 1/2*l**3 - 1/20*l**5 - 3*l - 1/4*l**4. Factor a(w).
-(w + 1)**3
Suppose -r - 2*r + 12 = 0. Factor 0*j**2 - 3*j**r + j**2 - j**3 + 2*j**4 + j**5.
j**2*(j - 1)**2*(j + 1)
Let i be -4 + ((-59)/(-8) - 3). Let w(f) be the first derivative of 0*f + 0*f**2 - i*f**4 + 1 + 1/3*f**3 + 1/10*f**5. Determine t so that w(t) = 0.
0, 1, 2
Let o(n) be the first derivative of 2*n**3/3 + 5*n**2 - 15. Factor o(f).
2*f*(f + 5)
Let p be 0*((-6)/4 - -1). Suppose 3*v - 9 = -p*v. Solve 2*q**v + 0*q**3 - 2*q + 0*q**3 = 0.
-1, 0, 1
Suppose -3*w + w + 6 = 0. Let d be ((-2)/(-8))/(9/8). Determine n, given that 2/9*n + d*n**2 - 2/9*n**w - 2/9 = 0.
-1, 1
Factor 1/3*f**2 + 108 + 12*f.
(f + 18)**2/3
Let r = 5 - 7/2. Solve 0 - 3/2*i**3 + 3*i - r*i**2 = 0.
-2, 0, 1
Let l be (-6)/4*2/27. Let k = l - -7/9. Factor -2/3 - k*x**3 + 2/3*x**2 + 2/3*x.
-2*(x - 1)**2*(x + 1)/3
Let y = 71/30 - -11/6. Factor -y*w**2 + 3*w + 6/5.
-3*(w - 1)*(7*w + 2)/5
Find r, given that -2/7*r**2 + 0 + 0*r = 0.
0
Let d(q) = -q**3 + 10*q**2 + 15*q - 2. Let i be d(11). Factor i*k**3 + 13*k + 140*k**2 + 16 + 24*k**3 - 117*k + 32*k**3.
2*(k + 2)*(7*k - 2)**2
Let c = 82321/120 + -686. Let q(r) be the third derivative of 0*r - c*r**5 - r**2 + 0*r**4 - 1/120*r**6 - 1/420*r**7 + 0*r**3 + 0. Factor q(k).
-k**2*(k + 1)**2/2
Let d(p) = 4*p. Let g be d(2). Let v be (3/4)/(21/g). Factor -2/7*w**2 + 0 - v*w.
-2*w*(w + 1)/7
Let s(r) be the third derivative of -r**5/60 + r**4/12 + r**3/2 - 6*r**2. Factor s(u).
-(u - 3)*(u + 1)
Let c(n) be the third derivative of n**5/12 - 5*n**4/12 - 5*n**3/2 + 19*n**2. Let c(g) = 0. Calculate g.
-1, 3
Suppose -6*i = -7*i. Let h(b) be the first derivative of 1/4*b**2 + 0*b**3 - 1/4*b**4 + 1/12*b**6 + 2 + 0*b + i*b**5. Factor h(o).
o*(o - 1)**2*(o + 1)**2/2
Let p(s) = -s**3 - s - 1. Let x(z) be the third derivative of -z**6/15 + z**5/15 + z**4/2 - z**3/3 - z**2. Let v(d) = 2*p(d) + x(d). Factor v(n).
-2*(n - 1)*(n + 1)*(5*n - 2)
Let f = -9 + -5. Let p be (-4)/f + 36/21. Determine k, given that -2*k**2 + 0*k**p + 2*k + 1 - 1 = 0.
0, 1
Suppose x + 2*i - 3 = -13, 4*x + 5*i + 25 = 0. Solve 0 + 2/7*f**2 + x*f = 0.
0
Let m be 50/45 - 4/6. Let x(v) be the first derivative of 1/9*v**4 + 2/9*v**5 + 1/9*v**2 + 2 - m*v**3 + 2/9*v - 1/9*v**6. Let x(r) = 0. Calculate r.
-1, -1/3, 1
Let u be 2 + -1 + -2 + -3. Let j(f) = f**2 - f. Let n(t) = -2*t**2 + t**2 - 2*t**2 - 2*t**2. Let x(w) = u*j(w) - 2*n(w). Suppose x(z) = 0. What is z?
-2/3, 0
Let s(i) be the second derivative of -i**4/4 + 3*i**3 - 12*i**2 + 15*i. Determine d so that s(d) = 0.
2, 4
Factor 3*k**3 + 44*k**2 + 5*k + 2*k**3 - 34*k**2.
5*k*(k + 1)**2
Let j = -2 - -4. Suppose w + j*w = 9. Factor 0*q**3 - q**5 - w*q + 2*q**3 + 2*q.
-q*(q - 1)**2*(q + 1)**2
Let r = 4 + 5. Let o be r + -7 + (-5)/3. Factor 4/3*a**4 + 3*a**2 + 11/3*a**3 + 1/3*a - o.
(a + 1)**3*(4*a - 1)/3
Let -2/11*z**4 + 0*z - 4/11*z**2 + 0 + 6/11*z**3 = 0. Calculate z.
0, 1, 2
Let t = 1225/2232 - 2/279. Let x(l) be the third derivative of 0*l + 3*l**2 + t*l**4 + 0 - 1/3*l**3 - 23/60*l**5 + 1/10*l**6. Determine w, given that x(w) = 0.
1/4, 2/3, 1
Suppose 2*x - 7 = 2*p + 9, 28 = x - 5*p. Let f(b) be the second derivative of 0 - 1/40*b**5 + 0*b**2 + 1/12*b**4 + 0*b**3 - x*b. Determine v so that f(v) = 0.
0, 2
Factor -a**3 - 2*a**3 + 7*a**3 - 8*a + 4*a**2 + 0*a**3.
4*a*(a - 1)*(a + 2)
Let u(o) be the third derivative of o**10/453600 - o**9/90720 + o**5/10 - 10*o**2. Let k(v) be the third derivative of u(v). Factor k(p).
p**3*(p - 2)/3
Suppose 24 = -136*j + 140*j. Let a(b) be the first derivative of j*b - 1 + 3/2*b**2 - 3*b**3. Factor a(y).
-3*(y - 1)*(3*y + 2)
Let j(l) be the second derivative of l**4/3 + 8*l**3/3 + 8*l**2 + 17*l. Suppose j(q) = 0. Calculate q.
-2
Solve 0*k - 2/5*k**4 + 0 + 4/5*k**3 + 6/5*k**2 = 0 for k.
-1, 0, 3
Let p = 8 + -3. Suppose -2*l + q + p = l, 3*q = -l - 15. Determine s so that l - s**2 - 1/4*s = 0.
-1/4, 0
Let r = 124/33 - 34/11. L