**3 + 2 + 4*h = 0.
-1, 1
Factor -5/4 + 1/4*f**2 + f.
(f - 1)*(f + 5)/4
Let s(r) = r**3 + 2*r**2 - r. Let w(j) = -j**4 + 2*j**3 + 8*j**2 - 2*j. Let z(n) = -2*s(n) + w(n). Solve z(b) = 0 for b.
-2, 0, 2
Let v(n) be the second derivative of 0*n**2 - 1/30*n**4 + 0 - 1/15*n**3 + 3*n. Factor v(t).
-2*t*(t + 1)/5
Let f = 38/15 + 194/5. Let k = f - 41. Solve 1/3*t - k*t**2 - 1/3*t**3 + 1/3 = 0.
-1, 1
Let v(f) be the first derivative of -f**4/12 - 5*f**3/9 - 2*f**2/3 + 11. Suppose v(s) = 0. Calculate s.
-4, -1, 0
Factor -6*c**4 - 3*c - 9*c + 9*c**3 + 0*c**4 + 3*c**4.
-3*c*(c - 2)**2*(c + 1)
Suppose -5*k + 2*k = 0. Let f(w) be the third derivative of 0*w + 0*w**6 + 0 + w**2 + 1/30*w**5 - 1/105*w**7 + 0*w**4 + k*w**3. Let f(q) = 0. Calculate q.
-1, 0, 1
Let u(j) be the second derivative of 1/3*j**4 - 2/15*j**6 - 1/3*j**3 + 1/21*j**7 + j + 0 + 0*j**2 + 0*j**5. Find b, given that u(b) = 0.
-1, 0, 1
Let o = -25 - -31. Factor 4*m**2 + 2*m - 8*m**3 - 3*m**2 + o*m**3 - 1.
-(m - 1)*(m + 1)*(2*m - 1)
Let i = 192 - 75. Let o be (-18)/i - (-64)/78. Let -o*d**5 - 2/3*d**2 + 2/3*d**4 + 2/3*d**3 + 0*d + 0 = 0. Calculate d.
-1, 0, 1
Let m(o) be the second derivative of -2*o**6/15 - o**5/5 + 2*o**4/3 + 12*o. Find n such that m(n) = 0.
-2, 0, 1
Let a(q) = -3*q**3 + 3*q**2 + 2*q + 4. Let f(d) = -3*d - 3*d**2 - 4 - 1 + 2 + 0 + 3*d**3. Let x(l) = 3*a(l) + 4*f(l). Solve x(r) = 0 for r.
-1, 0, 2
Let b(s) = 8*s**5 + 5*s**4 - 8*s**3 - 2*s**2. Let i(q) = -17*q**5 - 10*q**4 + 17*q**3 + 3*q**2. Let d(l) = -7*b(l) - 3*i(l). Factor d(v).
-5*v**2*(v - 1)*(v + 1)**2
Let k be ((25/2)/(-5))/((-140)/42). Factor 3/4*h**2 + 1/4*h**3 + k*h + 1/4.
(h + 1)**3/4
Let t = -1/338 + 254/169. Solve -3/2 + 3/2*o - 3/2*o**3 + t*o**2 = 0 for o.
-1, 1
Let b = -193 - -968/5. Factor 6/5*x**2 - 3/5*x**4 - 3/5 + b*x**5 - 6/5*x**3 + 3/5*x.
3*(x - 1)**3*(x + 1)**2/5
Let i(z) be the third derivative of 0*z - 1/480*z**6 + 0*z**4 + 0 + 5*z**2 + 0*z**3 + 1/240*z**5. Let i(t) = 0. Calculate t.
0, 1
Let y(t) be the second derivative of -t**4/12 - 2*t**3/3 - 3*t**2/2 - 13*t. Solve y(h) = 0 for h.
-3, -1
Suppose s - 17 = -1. Let u be 2/8 + 60/s. Find t, given that -3/2*t**2 - t**3 - 1/4 - 1/4*t**u - t = 0.
-1
Let d(t) be the third derivative of -t**6/120 + t**5/12 + 7*t**4/24 - 2*t**3/3 - 2*t**2. Let n be d(6). Factor -n*o**2 + 6*o - 10*o**3 + 6*o**4 - 2*o + 2*o**3.
2*o*(o - 1)**2*(3*o + 2)
Let m be 246/21 + 4/14. Suppose 0 = -2*o + 6*o - m. Find n such that 11*n**5 + 0 - 2 + 16*n**2 - 3*n**5 - 14*n**4 - 4*n**o - 4*n = 0.
-1, -1/4, 1
Let y(s) be the third derivative of s**8/1344 + s**7/84 + s**6/12 + s**5/3 + 5*s**4/6 + 4*s**3/3 + 7*s**2. Factor y(i).
(i + 2)**5/4
Let w(l) be the third derivative of -l**6/180 - l**5/75 + l**4/60 + l**3/2 - 2*l**2. Let f(n) be the first derivative of w(n). Factor f(t).
-2*(t + 1)*(5*t - 1)/5
Let f = -21 + 17. Let o be ((0 + f)/(-2))/10. Let o*p**2 + 1/5*p**3 - 1/5*p - 1/5 = 0. What is p?
-1, 1
Factor 3/4*c**4 + 7/2*c - 3/4 + 1/2*c**3 - 4*c**2.
(c - 1)**2*(c + 3)*(3*c - 1)/4
Let i(l) = 7*l**3 + l**2 - l. Let v be i(1). Suppose 0 = -3*t + 3, 0 = -3*p - t + v. Find g, given that 0*g**2 - g - g + 1 + g**p = 0.
1
Let q = 44 - 5. Let u be q/9 - (2 - -1). Factor -u*p**2 + 4/3 + 2/3*p**3 - 2/3*p.
2*(p - 2)*(p - 1)*(p + 1)/3
Let z(k) be the third derivative of 27*k**7/70 - 27*k**6/20 + 9*k**5/5 - 5*k**4/4 + k**3/2 + 7*k**2. Find q, given that z(q) = 0.
1/3, 1
Let g(i) be the first derivative of -i**4 - 4*i**3 - 6*i**2 - 4*i - 13. Factor g(c).
-4*(c + 1)**3
Factor -40/7*z**3 + 40/7*z**2 + 4/7 + 20/7*z**4 - 20/7*z - 4/7*z**5.
-4*(z - 1)**5/7
Let m be ((-4)/8)/((-21)/24). What is f in 2/7*f**5 + 0*f + 0 - 2/7*f**3 + 4/7*f**2 - m*f**4 = 0?
-1, 0, 1, 2
Let v(x) be the second derivative of 0*x**5 + 0*x**3 + 3*x - 1/180*x**6 + 0 + 0*x**2 + 1/72*x**4. Solve v(q) = 0.
-1, 0, 1
Solve 45/7*t**2 + 0 + 6/7*t = 0.
-2/15, 0
Let c = 237 - 473/2. Factor -1/2*j + 0 - j**2 - c*j**3.
-j*(j + 1)**2/2
Let y(b) be the third derivative of 0*b**4 + 0*b**3 - 1/240*b**6 + 0 + 0*b + 1/240*b**5 + 2*b**2. Factor y(d).
-d**2*(2*d - 1)/4
Suppose -2*j + 9 + 45 = 0. Factor -55*l**2 + 21*l**2 + j*l + 3*l**5 + 42*l**3 - 14*l**2 - 18*l**4 - 6.
3*(l - 2)*(l - 1)**4
Let f be -1 - -1 - 20/(-10). Factor 0 - 2/7*x**f + 0*x.
-2*x**2/7
Let t(j) be the first derivative of 6 + 0*j**4 + 1/6*j**2 + 0*j - 1/18*j**6 - 2/9*j**3 + 2/15*j**5. Find v, given that t(v) = 0.
-1, 0, 1
Let h(p) = -11*p**2 - 27*p + 6. Let n(v) = 5*v**2 + 13*v - 3. Let t(b) = -6*h(b) - 13*n(b). Let a be t(7). Factor r**2 - 5*r**2 + a*r**2.
-r**2
Let u(c) = -11 - 15*c - 18*c**3 - 2*c**2 + 3*c**3 + 10*c**2. Let r be -1*2*11/2. Let z(q) = 8*q**3 - 4*q**2 + 8*q + 6. Let o(y) = r*z(y) - 6*u(y). Factor o(x).
2*x*(x - 1)**2
Let w(y) = 5*y**2 - 10*y + 11. Let p(b) = -b**2 + b - 1. Let h(m) = 6*p(m) + w(m). Find v such that h(v) = 0.
-5, 1
Let h(l) be the second derivative of -l**5/10 - 5*l**4/7 - 12*l**3/7 - 8*l**2/7 + 5*l. Factor h(o).
-2*(o + 2)**2*(7*o + 2)/7
Factor 1/2*o**5 + 0*o**3 + 0*o - 2*o**2 + 0 + 3/2*o**4.
o**2*(o - 1)*(o + 2)**2/2
Solve -3*n**2 + 12*n**4 - 6*n**4 - 3*n**4 - 6*n + 6*n**3 = 0.
-2, -1, 0, 1
Suppose -15 + 0 = -5*w. Suppose -p + 0*p = w*a + 3, 4*a = p - 11. Factor -s**2 + 0*s - 4*s + p*s.
-s*(s + 1)
Suppose 17 = 2*i + 3*g, -5*i + 5*g - g + 8 = 0. Let 2*l**5 + 0*l**3 + 6*l**2 - 4*l**2 + 2*l**3 - 2*l**i - 4*l**5 = 0. Calculate l.
-1, 0, 1
Let f(k) be the second derivative of -k**5/240 + 3*k**2/2 + 2*k. Let u(w) be the first derivative of f(w). Find p such that u(p) = 0.
0
Let r(p) = 15*p**4 + 15*p**3 - 18*p**2 + 6*p - 6. Let w(n) = n**5 - n**4 - n**2 + n - 1. Let a(c) = r(c) - 6*w(c). Solve a(g) = 0.
-1, 0, 1/2, 4
Let r(v) be the third derivative of v**10/50400 - v**8/3360 + v**6/240 - v**5/20 - 2*v**2. Let x(t) be the third derivative of r(t). What is p in x(p) = 0?
-1, 1
Let n be (-6)/(-4)*84/63. Let h(y) be the first derivative of 3/8*y**n + 1/2*y - 2 + 1/12*y**3. Factor h(r).
(r + 1)*(r + 2)/4
Let h(o) = 11*o + 1. Let q be h(1). Factor -25*a - 5*a + 6*a - q + 9*a**3 + 0*a**2 - 3*a**2.
3*(a - 2)*(a + 1)*(3*a + 2)
Let r = 3/4 + 3/4. Solve r*t**2 + 9*t + 27/2 = 0 for t.
-3
Let b(y) = -15*y - 1. Let k be b(1). Let h be 3/2 + 20/k. Suppose 3/4*w**3 + 0*w**2 + 0 - h*w + 1/2*w**4 = 0. What is w?
-1, 0, 1/2
Let r be (-4 - -5)*(-10)/(-35). Factor 2/7*j + 0 + 0*j**3 - r*j**5 - 4/7*j**4 + 4/7*j**2.
-2*j*(j - 1)*(j + 1)**3/7
Let u(t) be the second derivative of -t**7/21 + t**6/15 + 3*t**5/10 - t**4/6 - 2*t**3/3 - 16*t. Suppose u(d) = 0. What is d?
-1, 0, 1, 2
Let k(c) be the first derivative of 1/15*c**5 - 1/3*c**4 + 4 + 2/3*c**3 + 1/3*c - 2/3*c**2. Find a such that k(a) = 0.
1
Let b = -275 - -275. Solve 4/3*a - 4/3*a**2 + 2/3*a**4 + b - a**3 + 1/3*a**5 = 0.
-2, 0, 1
Let v(y) be the first derivative of -y**6/12 - y**5/5 + y**4/4 + 2*y**3/3 - y**2/4 - y - 2. Find f, given that v(f) = 0.
-2, -1, 1
Let r(d) be the first derivative of 3/2*d**2 - 12/5*d**5 + 33/4*d**4 - 9*d**3 + 3*d - 5. Solve r(v) = 0 for v.
-1/4, 1
Let f = -4 + 7. Suppose 0 = -4*w + 13 + 3. Find s, given that 0*s**2 + f*s**3 + 2*s**2 - 2*s**3 - w*s + 5*s = 0.
-1, 0
Let o(c) be the third derivative of -c**6/360 + c**5/60 - c**4/36 + c**2. What is b in o(b) = 0?
0, 1, 2
Find b, given that 0 + 6/5*b**5 + 0*b - 6/5*b**3 - 16/5*b**4 + 0*b**2 = 0.
-1/3, 0, 3
Let z(c) be the third derivative of -c**8/47040 - c**7/3528 - c**6/720 - c**5/280 + 5*c**4/24 + 5*c**2. Let q(v) be the second derivative of z(v). Factor q(f).
-(f + 1)**2*(f + 3)/7
Let i = -1931341 + 589059613/305. Let a = -24/61 + i. Suppose 2/5*y**3 - 2*y**2 + 16/5*y - a = 0. What is y?
1, 2
Let 1/3 - 1/6*z**3 - 1/3*z**2 + 1/6*z = 0. What is z?
-2, -1, 1
Let a(p) be the second derivative of p**6/165 - p**4/22 - 2*p**3/33 + 20*p. Let a(q) = 0. Calculate q.
-1, 0, 2
Suppose 6*h = 12*h + 7*h. Factor -8/3*o**2 + h - 2/3*o.
-2*o*(4*o + 1)/3
Let g be (1/12)/(10/90). Factor -1/2*d**2 - 1/4 - 3/4*d + g*d**4 + 1/4*d**5 + 1/2*d**3.
(d - 1)*(d + 1)**4/4
Let v be 35/25 + 9/15. Let l(w) be the first derivative of 9/2*w**4 + 2/3*w**6 - 2 + 0*w - 14/5*w**5 + w**v - 10/3*w**3. Let l(q) = 0. Calculate q.
0, 1/2, 1
Let l(b) = -12*b**3 - 42*b**2 - 16*b + 32. Let w(s) = -60*s**3 - 211*s**2 - 80*s + 160. Let c(p) = -11*l(p) + 2*w(p). Factor c(z).
4*(z + 2)**2*(3*