9*h**2 + 3*h**2 + 6*h**4 + 4*h - 4*h = 0. What is h?
-1, 0, 1
Suppose -4*c**3 + 0*c**5 - 15*c**4 - 4*c**5 - 24*c**4 + 31*c**4 = 0. Calculate c.
-1, 0
Let b be (4/(-16))/(11/(-22)). Factor -1/2*p - 1/4 + b*p**3 + 0*p**2 + 1/4*p**4.
(p - 1)*(p + 1)**3/4
Suppose 4*d + 4*m + 192 = m, d + 2*m + 53 = 0. Let t be (-72)/d*5/3. Find i such that 4/3*i + 4/3*i**4 - 10/3*i**2 - 1/3*i**5 + t - 1/3*i**3 = 0.
-1, 2
Let n be 1/(-4) + 2/8. Let l = -55/24 - -21/8. Suppose n + 2/3*m**2 + l*m = 0. Calculate m.
-1/2, 0
Let b(r) = 3*r**2 - 9*r + 2. Let y(v) = 6*v**2 - 18*v + 5. Let z(l) = 5*b(l) - 2*y(l). Let z(n) = 0. What is n?
0, 3
Let h(g) = -g**3 + 12*g**2 + 17*g - 7. Let d be h(13). Factor 48*m**2 - 2*m**3 + 2*m**3 - 54 - 9*m**3 - d*m.
-3*(m - 3)**2*(3*m + 2)
Let f(h) be the third derivative of 0*h - 1/2*h**4 + 0*h**3 + 1/70*h**7 - 6*h**2 - 1/8*h**6 + 2/5*h**5 + 0. Factor f(i).
3*i*(i - 2)**2*(i - 1)
Let m(t) be the first derivative of -2 + 0*t - 1/5*t**2 + 1/15*t**3. Factor m(u).
u*(u - 2)/5
Let q = 38 - 35. Let p(b) be the second derivative of -4/3*b**2 + 1/6*b**4 - 4/9*b**q - 3*b - 1/45*b**6 + 0 + 1/15*b**5. Let p(u) = 0. Calculate u.
-1, 2
Let n be (-8)/288 + 2/8. Find o such that -8/9*o**2 - 2/3*o**3 + n*o + 4/9 = 0.
-1, 2/3
Let f = 100 - 100. Solve -1/5*v + f - 1/5*v**2 = 0 for v.
-1, 0
Let p = 57 + -277/5. Factor 8/5*f + p + 2/5*f**2.
2*(f + 2)**2/5
Let m = 196 + -196. Let f(z) be the second derivative of m + 0*z**2 + 1/84*z**7 - 1/20*z**5 + 0*z**6 + 3*z + 0*z**4 + 1/12*z**3. Factor f(h).
h*(h - 1)**2*(h + 1)**2/2
Let j be (-6)/4 + 26/4. What is m in -3*m - 2*m**5 + m**5 + 2*m**j + 6*m**3 + 4*m**2 + 4*m**4 + 4*m = 0?
-1, 0
Let v(u) = -u**3 + 3*u**2 + 2*u - 4. Let p be ((-12)/10)/(12/(-30)). Let q be v(p). Solve -2/3*l**q - 4/3*l + 0 = 0 for l.
-2, 0
Factor -1/4*f**3 + 0*f - 3/4*f**2 + 1.
-(f - 1)*(f + 2)**2/4
Let y(k) = k**4 + k**2 + k + 1. Let q(g) = -6*g**4 - 7*g**3 + 4*g**2 - 12*g - 7. Let r(w) = -5*q(w) - 35*y(w). Factor r(u).
-5*u*(u - 5)*(u - 1)**2
Let t(h) be the first derivative of h**4/46 - 2*h**3/69 + 68. Factor t(v).
2*v**2*(v - 1)/23
Factor -2*w**2 - 8*w**2 - 4 - 1 - 24*w - 3.
-2*(w + 2)*(5*w + 2)
Determine x so that 4*x**4 + 0*x**4 + 4*x + 4*x**4 - 4*x**5 + 0*x - 8*x**2 = 0.
-1, 0, 1
Suppose p + 4*k = -k - 23, 3*p - k + 21 = 0. Let h = p - -8. Let -3*l**4 + 2 + 4*l**2 + h*l**4 + l**4 + 6*l - 4*l**3 - 4*l**4 - 2*l**5 = 0. What is l?
-1, 1
Let d(k) be the first derivative of -k**4/8 + k**3/6 + k**2/2 + 4. Solve d(j) = 0.
-1, 0, 2
Solve 524*v**2 + 8*v - 532*v**2 - 2*v + 2*v**3 = 0 for v.
0, 1, 3
Solve 2*d**2 + 352*d**5 - 364*d**5 - 12*d - 8*d**2 + 3*d**4 + 24*d**3 + 3 = 0 for d.
-1, 1/4, 1
Let n(j) be the first derivative of -j**8/1680 + j**7/420 + 2*j**3/3 - 4. Let d(h) be the third derivative of n(h). Factor d(k).
-k**3*(k - 2)
Solve -59*z**4 + z**5 + z**2 - z**3 + 116*z**4 - 58*z**4 = 0 for z.
-1, 0, 1
Suppose 524*n = 531*n. Factor n*h + 0*h**2 + 0 + 2/9*h**5 - 2/9*h**3 + 0*h**4.
2*h**3*(h - 1)*(h + 1)/9
Let m(l) be the second derivative of 2*l**6/135 - 2*l**5/45 - l**4/27 + 4*l**3/27 - 2*l - 1. Factor m(i).
4*i*(i - 2)*(i - 1)*(i + 1)/9
Let c(h) = -8*h**4 - 20*h**2 - 16*h + 11. Let d(b) = 3*b**4 + 7*b**2 + 6*b - 4. Let p(t) = -4*c(t) - 11*d(t). Suppose p(k) = 0. Calculate k.
-2, 0, 1
Let o(r) be the second derivative of -r + 0 + 0*r**2 + 1/135*r**6 + 0*r**3 - 1/90*r**5 - 1/27*r**4. Factor o(v).
2*v**2*(v - 2)*(v + 1)/9
Let y be (2 - (-4)/(-2))/1. Suppose -2*q**2 + 0*q + y*q = 0. Calculate q.
0
Let c(i) = 3*i**2 + 16*i + 9. Let t be c(-5). Find f such that -8/3*f + 0 - 20/3*f**5 + 4*f**2 + 28/3*f**3 - t*f**4 = 0.
-1, 0, 2/5, 1
Let s(x) be the first derivative of 9*x - 7 + 3*x**2 + 1/3*x**3. Factor s(t).
(t + 3)**2
Suppose -2/3*b + 2/3*b**2 + 0 = 0. What is b?
0, 1
Let b(z) = z**2 - 5*z + 4. Let f be b(6). Suppose -2*s + f = -4. Factor 0*t**3 - t**2 + s*t**2 + 3*t**3 + 3*t.
3*t*(t + 1)**2
Let g be (-126)/33 - -4 - 28/(-88). Factor -1/4 + g*t - 1/4*t**2.
-(t - 1)**2/4
Suppose 8*f = 11*f. Let p be (6/4)/(6 - f). Let -1/4*g**4 + p*g**2 - 1/4*g**3 + 0*g + 1/4*g**5 + 0 = 0. Calculate g.
-1, 0, 1
Let r(a) be the first derivative of a**5/5 + a**4/4 - a**3 - a**2/2 + 2*a - 22. Solve r(f) = 0 for f.
-2, -1, 1
Let i(v) = v - 1. Let l be i(3). Suppose -y - 6*y**5 + 6*y**l + 4*y - 7*y**4 + y**4 + 3*y**5 = 0. Calculate y.
-1, 0, 1
Let c = 5 - -2. Suppose 2*b - 15 = 3*t, 5*b - 3*t = -c*t - 20. Factor b + 4/3*m - 2/3*m**2.
-2*m*(m - 2)/3
Let t(f) be the second derivative of f**5/210 - f**4/84 + 3*f**2/2 - 3*f. Let g(x) be the first derivative of t(x). Factor g(r).
2*r*(r - 1)/7
Let f(c) = 3*c**2 + 2*c - 1. Let h be f(-3). Let m be h/24 - 2/(-3). Let -m*i**4 - 7/2*i**2 + 4*i**3 + i + 0 = 0. Calculate i.
0, 2/3, 1
Let k(h) be the third derivative of h**6/900 - h**5/150 + h**3/3 - 6*h**2. Let x(a) be the first derivative of k(a). Factor x(i).
2*i*(i - 2)/5
Let v(n) be the first derivative of -n**7/105 - n**6/20 - n**5/10 - n**4/12 - 3*n**2/2 - 1. Let t(b) be the second derivative of v(b). Factor t(j).
-2*j*(j + 1)**3
Let b be 213/(-66) + (-12)/(-6). Let j = -8/11 - b. Factor 1/2*f**2 - 1 + j*f.
(f - 1)*(f + 2)/2
Let v = 1/42 - -10/21. Find j such that v - 1/2*j**3 - 1/2*j**2 + 1/2*j = 0.
-1, 1
Let i(q) be the first derivative of -3/4*q**3 + 2 + 0*q + 3/4*q**2 - 3/8*q**4. Solve i(l) = 0 for l.
-2, 0, 1/2
Let n(u) = 6*u**3 - 35*u**2 - 7*u. Let v(q) = -2*q**3 + 12*q**2 + 2*q. Let k(o) = 6*n(o) + 17*v(o). Factor k(s).
2*s*(s - 4)*(s + 1)
Let q(b) be the second derivative of -b**8/1176 + 2*b**7/735 - b**5/105 + b**4/84 + b**2 + b. Let c(p) be the first derivative of q(p). Factor c(i).
-2*i*(i - 1)**3*(i + 1)/7
Let w(i) be the third derivative of i**8/1440 - i**7/630 + i**6/630 - i**5/30 - 3*i**2. Let v(q) be the third derivative of w(q). Solve v(s) = 0 for s.
2/7
Let v(x) be the first derivative of x**4/54 + x**3/27 - 2*x**2/9 + 2*x - 1. Let d(u) be the first derivative of v(u). Factor d(g).
2*(g - 1)*(g + 2)/9
Let l be 15/12*5*1. Let u = -319 + 1415/4. Factor -95/4*m**4 - 8*m - 1 - 97/4*m**2 - l*m**5 - u*m**3.
-(m + 1)**3*(5*m + 2)**2/4
Let s(y) be the first derivative of y**4/2 + 6*y**3/7 + 2*y**2/7 + 9. Find j such that s(j) = 0.
-1, -2/7, 0
Let i be 21/4 - 2/8. Let r(u) be the second derivative of 0 + 1/45*u**6 + u - 1/15*u**i + 0*u**3 + 0*u**2 + 1/18*u**4. Factor r(o).
2*o**2*(o - 1)**2/3
Factor 0 + 12/5*z + 4*z**2.
4*z*(5*z + 3)/5
Let n(u) = -12*u + 77. Let z be n(6). What is p in -1/2 + 0*p + 15/2*p**4 + 5*p**2 - 2*p**z - 10*p**3 = 0?
-1/4, 1
Let b be 18/15*(-15)/6. Let i = b - -5. Find u such that 1/2*u**3 + 0 + 0*u + 1/2*u**i = 0.
-1, 0
Let g be (18/4)/((-2)/(-4)). Suppose -9*x**4 - 18*x**5 + g*x**3 - 6*x**2 + 6*x**5 + 18*x**3 = 0. Calculate x.
-2, 0, 1/4, 1
Factor 1/4*z**2 + 1/2*z + 0.
z*(z + 2)/4
Let s(y) = -y**3 + 3*y**2 + 3*y + 4. Let g be s(4). Factor -4*x**3 + 2*x**3 - x**2 - 3*x**2 + g*x + 4 + 2*x.
-2*(x - 1)*(x + 1)*(x + 2)
Let n(x) = 8*x**2 - 3*x + 2. Let f be n(1). Let i be f/3 + 7/(-21). Factor -9/4*u**3 - 7/4*u**i - 1/2*u + 0 - 1/4*u**5 - 5/4*u**4.
-u*(u + 1)**3*(u + 2)/4
Let j be 7*((-88)/(-14) - 5 - 1). Let -8 + 4*q - 1/2*q**j = 0. Calculate q.
4
Let m(j) = -j - 13. Let y be m(-7). Let r be ((-2)/y)/(4/3). Determine g, given that 0 + 1/4*g**2 + r*g = 0.
-1, 0
Suppose 0 = -2*j + 10 - 4. Suppose 2*c - 5*b - 6 = 0, -2*b + 15 = 5*c - 0*c. Find p such that -3*p**3 + 2*p**4 + p**j - 2*p - 2*p**2 + 4*p**c = 0.
-1, 0, 1
Let u(k) = 6*k**4 - 6*k**3 + 51*k**2. Let n(x) = x**4 - 4*x**3 - 4*x**3 + 5*x**3 + 2*x**3 + 10*x**2. Let s(w) = 21*n(w) - 4*u(w). Factor s(c).
-3*c**2*(c - 2)*(c + 1)
Suppose 5*x + 0*x - 10 = -3*s, 15 = 2*s - 5*x. Suppose 2*d + 1 = s. Factor -6*g**3 + 9*g**3 + d*g**2 - g - 2 - g**3 - g.
2*(g - 1)*(g + 1)**2
Let d = 12 - 8. Solve -2*y**4 - 3*y**d + 2*y**5 - 4*y**4 + 5*y**4 = 0.
0, 2
Let n(t) be the first derivative of -t**5/210 + t**2 - 2*t - 3. Let h(f) be the first derivative of n(f). Let o(l) be the first derivative of h(l). Factor o(j).
-2*j**2/7
Let a(w) be the second derivative of w**4/54 - 2*w**3/9 + w**2 + 38*w - 1. Factor a(b).
2*(b - 3)**2/9
Determine j, given that -31 - 19*j - 2*j**2 - 29*j + 319 + 4*j**2 = 0.
12
Let z(o) = o**2 + o - 4. Let d be z(-3). Suppose d*w + 3 - 7 = 0. Suppose -1/4*u**4 + 1/4*u**w + u**3 + 0 