= 0. What is h?
-2, 1
Suppose 0 = -3*q + q + 6. Suppose -3*d + 3*x + 9 = 0, -2*d - q = -x - 10. Suppose -1 + 3 + i**3 + d*i**3 - 3*i**3 - 2*i - 2*i**2 = 0. Calculate i.
-1, 1
Let a(q) be the third derivative of 0*q + 7/72*q**4 + 0 - 6*q**2 + 1/20*q**5 + 1/630*q**7 + 1/72*q**6 + 1/9*q**3. Factor a(k).
(k + 1)**3*(k + 2)/3
Let t(z) = -36*z**4 - 51*z**3 - 15*z**2 - 21. Let k(w) = 7*w**4 + 10*w**3 + 3*w**2 + 4. Let j(x) = 21*k(x) + 4*t(x). Factor j(s).
3*s**2*(s + 1)**2
Let p(q) = -q**3 - 5*q**2 + 68*q - 10. Let x be p(6). Find d such that 32/7*d**4 + x*d**5 - 4*d**2 - 22/7*d + 8/7*d**3 - 4/7 = 0.
-1, -2/7, 1
Let d be (-3 - 248)*6/(-1895). Let y = d - -2/379. Suppose 2/5 + y*q**2 + 1/5*q**3 + q = 0. What is q?
-2, -1
Suppose 0*r - 6 = x - 5*r, -4*x = -5*r - 6. Let p(a) be the second derivative of 1/12*a**x - 1/3*a**3 + 0 + a + 0*a**2. Solve p(s) = 0.
0, 2
Let f(m) = 2*m**2 - 2 + 3*m + 3 + 0*m**2. Let q be f(-2). Factor 5*l**2 + l - 3*l**3 - 2*l**2 + q*l + 2*l.
-3*l*(l - 2)*(l + 1)
Let h be (-1)/4 + (-66)/(-8). Factor h*b + 12*b**2 - 2*b**3 + 2*b**4 + 3*b**3 + 7*b**3 + 2.
2*(b + 1)**4
Let t(q) = -q**3 - 2*q. Suppose 5 = 4*w - f, -2*f = -w + 3*f - 13. Let c(s) = -3*s**3 - s**2 - 5*s. Let p(g) = w*c(g) - 5*t(g). Factor p(j).
-j**2*(j + 2)
Let v be (1 - 0)*(29 + 1). Suppose -4*t = -v + 6. Suppose -2*x**2 + 2 + t*x**2 - 2*x**2 - 4*x = 0. What is x?
1
Find k such that 7 + k**2 + 5*k**4 - 27 + k + 20*k**3 + 14*k**2 - 21*k = 0.
-2, -1, 1
What is k in -4*k**3 + 5 + 4*k**5 + 3 + 6*k**4 - 3 - 8*k**2 - 3 = 0?
-1, 1/2, 1
Let v(r) be the second derivative of r**5/210 - r**4/28 + 2*r**3/21 - 5*r**2 - 2*r. Let l(n) be the first derivative of v(n). Solve l(s) = 0 for s.
1, 2
Factor 4*u + 0*u + 4*u**2 - 3 - 7 + 2.
4*(u - 1)*(u + 2)
Let a(n) be the first derivative of -n**4/8 - n**3/3 + n**2/4 + n - 20. Find d, given that a(d) = 0.
-2, -1, 1
Suppose 5*g + 1397 = 432. Let a = -1349/7 - g. Factor -a*b**3 + 2/7*b + 0 - 2/7*b**2 + 2/7*b**4.
2*b*(b - 1)**2*(b + 1)/7
Let g(h) be the third derivative of -2*h**7/525 + h**6/30 - 3*h**5/25 + 7*h**4/30 - 4*h**3/15 + 8*h**2. Factor g(s).
-4*(s - 2)*(s - 1)**3/5
Let v be (1 + -16)*10/(-25). Suppose -f = -v*f. Solve -1/2*b**3 + 0*b**2 + 0*b - 1/2*b**5 + f - b**4 = 0.
-1, 0
Let o(l) be the first derivative of l**5/25 + l**4/4 + l**3/5 - l**2/2 - 4*l/5 + 20. Determine c so that o(c) = 0.
-4, -1, 1
Suppose -5*c + 34 = -3*t, -c = 4*t + 2 + 28. Let q = t - -11. Factor -3*w**4 - 7*w**3 - 3*w + 0*w**2 - 9*w**2 - 2*w**q.
-3*w*(w + 1)**3
Let g be 2/(-3) - (-70)/15. Solve 0 + 0 - g*d**3 + 0*d**3 = 0 for d.
0
Factor -10*g - 7*g**2 + 7 + 12*g**2 - 2.
5*(g - 1)**2
Suppose -25/2 - 45/4*t + 5/4*t**2 = 0. What is t?
-1, 10
Suppose -7 - 15*a + 1 - 83*a**2 + 92*a**2 = 0. What is a?
-1/3, 2
Let z(q) be the second derivative of -3*q + 1/14*q**4 + 0 + 0*q**2 - 3/140*q**5 + 0*q**3. Factor z(r).
-3*r**2*(r - 2)/7
Suppose -2 = 3*g + 7. Let z be (-2 + 3)/(g/(-6)). Find h, given that 2 + 3*h**4 - z*h**3 - 2*h**4 - 6*h**2 + 7*h + 15*h**2 + 7*h**3 = 0.
-2, -1
Suppose -5*h = -18 - 2. Factor 2 + 3/2*r**2 + h*r.
(r + 2)*(3*r + 2)/2
Let d(b) be the second derivative of b**5/5 + b**4 + 2*b**3 + 2*b**2 - 5*b. Determine s, given that d(s) = 0.
-1
Suppose 0 = 17*u - 16*u - 2. Let y(i) be the first derivative of 0*i - 2/27*i**3 - u + 2/9*i**4 + 0*i**2 - 2/15*i**5. Find l such that y(l) = 0.
0, 1/3, 1
Suppose 0 = 3*v - 5*v. Let t(y) be the second derivative of 0*y**2 + v - 1/6*y**4 + 0*y**3 - y. Find f, given that t(f) = 0.
0
Let r(g) be the third derivative of g**5/10 + g**4/3 - 4*g**3/3 - 5*g**2. Factor r(o).
2*(o + 2)*(3*o - 2)
Let n(a) be the third derivative of -a**8/3360 + a**7/420 - a**6/240 + 2*a**3/3 + 2*a**2. Let w(c) be the first derivative of n(c). Find f, given that w(f) = 0.
0, 1, 3
Let k(g) be the second derivative of g**8/30240 - g**6/1080 + g**5/270 - g**4/6 - 2*g. Let y(h) be the third derivative of k(h). Solve y(d) = 0 for d.
-2, 1
Let s(c) = 14*c**4 - 2*c**3 - 14*c**2 + 4*c - 2. Let a(o) = -28*o**4 + 3*o**3 + 28*o**2 - 8*o + 5. Let h(q) = 4*a(q) + 10*s(q). Factor h(p).
4*p*(p - 1)*(p + 1)*(7*p - 2)
Let y(h) = -h**3 + 5*h**2 - 5*h + 4. Let f be y(4). Let x(l) be the third derivative of f*l + 1/24*l**3 + 0 + 1/240*l**5 + l**2 + 1/48*l**4. Factor x(o).
(o + 1)**2/4
Factor 0 - 3/7*u - 3/7*u**2.
-3*u*(u + 1)/7
Suppose -4*t + 4*a - 4 = -0, 2*a + 6 = 4*t. Suppose -t*h + 1 + 7 = 0. Factor 3*c**2 - 2*c - 5*c**2 - c**2 + 2*c**h + c**3.
c*(c - 2)*(c + 1)
Let x(t) = -5*t**4 - 5*t**3 + 3*t**2 + t - 2. Let f(p) = 16*p**4 + 16*p**3 - 9*p**2 - 2*p + 7. Let b(v) = -2*f(v) - 7*x(v). Find w, given that b(w) = 0.
-1, 0, 1
Let d(t) be the first derivative of -1/4*t**4 + t - 4 - 1/2*t**3 + 0*t**2. Let h(f) be the first derivative of d(f). Solve h(s) = 0 for s.
-1, 0
Factor 0*n**3 - 4/9*n**5 - 2/3*n**4 + 2/9*n**2 + 0 + 0*n.
-2*n**2*(n + 1)**2*(2*n - 1)/9
Suppose 5*o = 2*p - 20, 4*p = -5*o + 9 + 1. Factor -t**3 - 5*t**3 - 3*t**2 + 0*t**4 + 4*t**4 + p*t**2.
2*t**2*(t - 1)*(2*t - 1)
Suppose -17*n - 56*n - 5*n**2 - 238 - 82 - 7*n = 0. Calculate n.
-8
Let y = 349 - 9412/27. Let f = y - 2/27. Factor o**2 + f + 1/3*o**3 + o.
(o + 1)**3/3
Let a(o) be the third derivative of o**5/5 - o**4/2 + o**3/2 + 4*o**2. Find v such that a(v) = 0.
1/2
Let w(r) be the third derivative of r**5/20 - r**4/4 - r**2. Let i(a) = a. Let o(x) = 3*i(x) - w(x). Let o(g) = 0. What is g?
0, 3
Let a(o) be the second derivative of -2/3*o**2 - 25/36*o**4 + 19/60*o**5 + 1/126*o**7 + 0 - 3*o + 8/9*o**3 - 7/90*o**6. Factor a(k).
(k - 2)**2*(k - 1)**3/3
Factor -2/13*u**4 + 4/13*u**3 - 4/13*u + 2/13 + 0*u**2.
-2*(u - 1)**3*(u + 1)/13
Let n(s) be the third derivative of -s**6/180 + s**5/90 + s**4/18 + 10*s**2. Find u such that n(u) = 0.
-1, 0, 2
Factor 39/5*x - 69/5*x**2 + 9/5*x**3 + 21/5.
3*(x - 7)*(x - 1)*(3*x + 1)/5
Let t(f) be the first derivative of -1/12*f**4 + 0*f**2 + 4*f + 1/8*f**5 + 1 + 0*f**3. Let p(n) be the first derivative of t(n). Factor p(z).
z**2*(5*z - 2)/2
Let r(a) be the first derivative of -a**9/252 - a**8/280 + a**7/160 - a**6/480 + a**3/3 + 4. Let o(l) be the third derivative of r(l). Factor o(b).
-3*b**2*(b + 1)*(4*b - 1)**2/4
Let u(h) be the third derivative of h**7/135 - 13*h**6/270 + 2*h**5/27 + 2*h**4/27 + 12*h**2. Factor u(m).
2*m*(m - 2)**2*(7*m + 2)/9
Let 0 + 128/7*b**2 + 50/7*b**4 + 190/7*b**3 + 24/7*b = 0. Calculate b.
-3, -2/5, 0
What is r in 0 + 16/9*r**3 + 14/9*r + 29/9*r**2 + 1/9*r**4 = 0?
-14, -1, 0
Let n be (-2)/(-20)*(-6)/(-9)*12. Find w such that n*w**2 + 4/5*w - 8/5 = 0.
-2, 1
Let x be (-2*(-16)/280)/(2/10). Factor -10/7*o**3 + x*o**4 + 8/7*o**2 - 2/7*o + 0.
2*o*(o - 1)**2*(2*o - 1)/7
Let i be (1/(-3))/((-14)/24). Let b(r) be the first derivative of -8/7*r - 1 - 2/21*r**3 - i*r**2. Factor b(u).
-2*(u + 2)**2/7
Let f be 2/(8/7) - (-15 - -16). Factor -f*j**3 + 0 + 3/4*j**2 + 0*j.
-3*j**2*(j - 1)/4
Suppose 6*x = 2*x + 3*v + 21, 2*x - 3 = -v. Let h be 6*(-2)/(4/(-1)). Factor -5*k**x + 2*k**h - 2*k**4 - k**3.
-2*k**3*(k + 2)
Let u(m) be the second derivative of -m**6/240 - m**5/40 + m**4/96 + m**3/12 + 36*m. Solve u(w) = 0.
-4, -1, 0, 1
Let u be 1 - -16 - (1 - 2). Let z(r) = 4*r**3 + r**2 - 4*r - 14*r**3 - 4*r - 10. Let y(l) = l**3 + l + 1. Let d(s) = u*y(s) + 2*z(s). Factor d(n).
-2*(n - 1)**2*(n + 1)
Let h(b) be the second derivative of b**4/42 + 8*b**3/21 + 16*b**2/7 + 8*b. Factor h(i).
2*(i + 4)**2/7
Suppose 5*o = -k + 25, 0 = -6*k + k + 3*o - 15. Factor 2/11*r - 2/11*r**5 + 0*r**3 - 4/11*r**4 + 4/11*r**2 + k.
-2*r*(r - 1)*(r + 1)**3/11
Let y(b) = b**3 + 8*b**2 + 5*b - 14. Let a be y(-7). Factor a - 2/7*c**2 + 2/7*c.
-2*c*(c - 1)/7
Let z(d) = -2*d**4 + 2*d + 2*d**2 - 18*d**3 + 12*d**3 + 0*d**4 + 4*d**3. Let q(s) = -s**4 - s**3 + s**2 + s. Let o(v) = -4*q(v) + z(v). Factor o(t).
2*t*(t - 1)*(t + 1)**2
Let u be 4/14 + (-2)/7. Let q(c) be the third derivative of 0 - 1/36*c**4 - 2/9*c**3 + 3*c**2 + u*c + 1/90*c**5. Factor q(i).
2*(i - 2)*(i + 1)/3
Let m(n) be the second derivative of 9*n**5/10 + 11*n**4/6 - 16*n**3/3 - 4*n**2 + 11*n. Find f such that m(f) = 0.
-2, -2/9, 1
Let n = 0 - -1. Let d(h) = h**3 - 9*h**2 - 5*h - 3. Let s = 3 - 7. Let f(y) = y**3 + y. Let u(q) = n*d(q) + s*f(q). Factor u(p).
-3*(p + 1)**3
Let p be ((-4)/(-4) - 6) + 5. What is b in 2/5*b**2 + p + 2