ven that p*g**2 + 2/7*g**3 + 6/7*g + 2/7 = 0.
-1
What is h in -2/11*h + 0 - 2/11*h**3 + 4/11*h**2 = 0?
0, 1
Let k be (-1)/(-4) - 3/12. Suppose -x + 4*x - 21 = -3*i, k = -x + 2. Solve -i*o**2 + 2*o**2 + 3*o**2 + o**3 = 0 for o.
0
Let s(b) = -b**3 + 7*b**2 - 7*b + 7. Let i be s(6). Let j be (-1)/(i/5*-1). Factor 2*d**3 - d**j + 0*d**4 + 4*d**2 - 8*d**3 - d + 4*d**4.
-d*(d - 1)**4
Let i = 76 - 76. Let n(y) be the second derivative of 0 + 0*y**3 + i*y**5 + 0*y**2 + 0*y**4 + 1/75*y**6 + y. Suppose n(o) = 0. What is o?
0
Solve -3*d**2 - 6*d + 12*d - 1 - 2 = 0.
1
Let b be 14/8 - 2/(-8). Suppose -b*v = v. Factor -1/2*j**3 + 0 + v*j**4 + 1/4*j**5 + 1/4*j + 0*j**2.
j*(j - 1)**2*(j + 1)**2/4
Let s be (3/5)/((-2)/(-10)). Suppose 5*y - 4*y - s = 0. Suppose y*r**4 + 0 - 2*r**2 - 2*r**4 + 1 = 0. Calculate r.
-1, 1
Suppose 0*a + 2*a = 3*x - 6, -x = 3*a - 2. Determine p so that 0 + p - x + 2*p**2 - p = 0.
-1, 1
Let f(g) = g - 2. Let x be f(6). Suppose -x*j = -2*b - 12 - 14, -j - b = -2. Factor -2*p - 2 + 3*p - j*p - 2*p**2.
-2*(p + 1)**2
Let a(i) = -4*i**2 - 6*i - 1. Let p(m) = -5*m**2 - 7*m - 2. Let d(u) = 4*a(u) - 3*p(u). Let f be d(-3). Factor -4/7 + 2/7*x**3 + 4/7*x**f - 2/7*x.
2*(x - 1)*(x + 1)*(x + 2)/7
Let n be (2/(-5))/((-24)/15). Let l = -99/4 + 25. Find t such that 1/2*t - n - l*t**2 = 0.
1
Suppose 2*k = 5 + 3. Let c be (-6)/(-4) + 10/k. Let v(a) = 3*a**2 - 2*a + 4. Let n(f) = 2*f**2 - 2*f + 4. Let s(b) = c*v(b) - 5*n(b). Let s(m) = 0. What is m?
-2, 1
Let d(s) be the first derivative of 4*s**7/735 + s**6/420 - 2*s**5/105 - s**4/84 + s**2/2 + 3. Let b(u) be the second derivative of d(u). What is r in b(r) = 0?
-1, -1/4, 0, 1
Let p(a) = 9*a**2. Let c be p(1). Let l be 12/c - 2/(-3). Factor 5*j**2 + j**3 + 0*j**2 - 4*j**l.
j**2*(j + 1)
Let n(f) = f**3 + 3*f**2 - 3*f. Let w be n(-4). Let b = w - -13/3. Suppose -1/3*v**2 + 0 + b*v = 0. What is v?
0, 1
Let i(s) = -s - 12. Let b be i(-9). Let k be (b + -1)/28 + 1. Factor 18/7*r**5 + 8/7*r**2 + 0*r + 0 - k*r**4 - 16/7*r**3.
2*r**2*(r + 1)*(3*r - 2)**2/7
Let c(x) be the first derivative of -x**3/3 - 9*x**2/2 + 13. Factor c(r).
-r*(r + 9)
Let g(m) be the second derivative of m**8/36960 - m**6/1320 - m**5/330 - m**4/4 + m. Let x(w) be the third derivative of g(w). Find d, given that x(d) = 0.
-1, 2
Let b = 6 - 4. Suppose -2*y - b = -3*y. Solve 5*q + 25/4*q**4 - 1 - 5*q**3 - 21/4*q**y = 0 for q.
-1, 2/5, 1
Let u(o) be the second derivative of -o**4/20 + 2*o**3/5 + 3*o**2/2 + 33*o. Solve u(l) = 0 for l.
-1, 5
Factor 2/9*m**3 + 2/9*m**4 + 0*m - 2/9*m**2 + 0 - 2/9*m**5.
-2*m**2*(m - 1)**2*(m + 1)/9
Let x(g) = -g**3 + g**2 + g. Let k(r) = -18*r**3 + 18*r**2 + 15*r. Let q be (-12 - -27) + 0/1. Let t(z) = q*x(z) - k(z). Factor t(n).
3*n**2*(n - 1)
Let u be (36/3 - 4) + -1. Factor -8*p**2 - u*p**2 + 4*p + 17*p**2.
2*p*(p + 2)
Let i(f) = 2*f**3 - f**2 + 6*f - 3. Let o(d) = -d**3 + d**2 - d. Let k(p) = -5*i(p) - 20*o(p). Solve k(j) = 0.
-1, 1, 3/2
Let s = 37 + -73/2. Factor m + s*m**2 + 0.
m*(m + 2)/2
Let m(s) be the first derivative of s**4/2 + 2. Factor m(x).
2*x**3
Factor 2/5*d**2 - 8/5*d + 8/5.
2*(d - 2)**2/5
Let y(r) = r**4 + r**3. Let m(p) = p**5 + 6*p**4 + 6*p**3 + p**2. Let u(c) = 3*m(c) - 21*y(c). Factor u(v).
3*v**2*(v - 1)**2*(v + 1)
Let x(a) be the first derivative of -4 + 1/22*a**4 + 2/11*a - 2/33*a**3 - 1/11*a**2. Factor x(w).
2*(w - 1)**2*(w + 1)/11
What is a in -198*a**3 + 213*a**3 + 3*a**4 + 20*a**2 - 8*a**4 = 0?
-1, 0, 4
Suppose 2 = -0*t - 2*t, -t = -b + 113. Let p = -1006/9 + b. What is s in -2/3*s**2 - p*s - 2/3*s**3 - 2/9*s**4 + 0 = 0?
-1, 0
Let a(b) = 3*b**3 + b - 1. Let m be a(1). Factor 0*f**2 - 4/11 + 2/11*f**m - 6/11*f.
2*(f - 2)*(f + 1)**2/11
Let u(p) be the third derivative of -p**8/1176 - 2*p**7/735 + p**5/105 + p**4/84 + 20*p**2. Find o, given that u(o) = 0.
-1, 0, 1
Suppose 5*o - 4 = 3*o. What is r in -o*r**2 + 6*r**5 + 10*r**3 - 14*r**4 + 4*r - 4*r = 0?
0, 1/3, 1
Suppose 0 = a - 3 - 0. Factor n**2 - a + 3*n**2 - n**2.
3*(n - 1)*(n + 1)
Suppose -2*a + 5*x + 28 = -a, 5 = -5*a - 4*x. Factor h**3 - 2*h**4 + 2*h**2 - 3*h**3 - a*h + 5*h + 0*h.
-2*h*(h - 1)*(h + 1)**2
Let f = 568 - 2838/5. Factor -4/5*p + 2/5*p**2 + 0 + 4/5*p**3 - f*p**4.
-2*p*(p - 2)*(p - 1)*(p + 1)/5
Let f(i) be the third derivative of i**5/12 + 5*i**4/18 + 5*i**3/18 + 13*i**2. Factor f(n).
5*(n + 1)*(3*n + 1)/3
Let q(m) be the second derivative of m**6/90 - m**5/30 + m**3/9 - m**2/6 - 4*m. Factor q(g).
(g - 1)**3*(g + 1)/3
Let x(k) be the third derivative of k**8/6720 - k**7/840 + k**6/240 - k**5/30 + 2*k**2. Let f(u) be the third derivative of x(u). What is j in f(j) = 0?
1
Let h be 2/1 + -1*2. Suppose 3*t + h*t = 9. Find d such that -2 - t*d + d + d - d**3 + 4*d = 0.
-2, 1
Suppose 0 + 8/5*x**2 + 8/5*x + 2/5*x**3 = 0. What is x?
-2, 0
Suppose -4*w = -0*l - 4*l - 16, 2*w = -2*l + 8. Let h be (-2)/6 - (-1)/3. Factor l*t + t**2 + 3*t + 4 + h*t - 7*t.
(t - 2)**2
Solve -j - 1/4*j**2 - 1 = 0.
-2
Let y(x) be the third derivative of 5*x**8/112 - 4*x**7/21 + x**6/4 - 5*x**4/24 + 19*x**2. Factor y(g).
5*g*(g - 1)**3*(3*g + 1)
Let p = 80 + -80. Factor p*b - 1/3*b**2 + 0.
-b**2/3
Let t(o) be the third derivative of 2*o**2 + 0*o**3 - 1/96*o**4 + 0*o + 0 - 1/840*o**7 + 1/480*o**6 + 1/240*o**5. Suppose t(j) = 0. Calculate j.
-1, 0, 1
Suppose 5 = 2*o - 1. What is i in -3*i**2 + 1 - 9 + 11*i**2 + 4*i + i**3 - 5*i**o = 0?
-1, 1, 2
Determine m, given that -5/2*m**4 + 5/2*m**5 + 0 + 0*m + 5/2*m**2 - 5/2*m**3 = 0.
-1, 0, 1
Suppose 12*m**2 - 2 + 3*m - 7*m + 0*m - 6 = 0. Calculate m.
-2/3, 1
Let 0 + 5/2*d**2 - 1/2*d**3 - 1/2*d**4 - 3/2*d = 0. What is d?
-3, 0, 1
Let n = 1 + 1. Suppose 3*p + 5*w = -5, -3*w = 4*p + 5 - 2. Let -n*t**2 + p*t + 3*t**2 + t = 0. Calculate t.
-1, 0
Let m(j) = -j**2 + j + 2. Let x be m(2). Let b be (0/3 - x) + 2. Factor -5*c**4 + 5*c**3 - 5*c**3 - 7*c**3 - b*c**2.
-c**2*(c + 1)*(5*c + 2)
Let x = -22 - -113/5. Factor -1/5*i**3 - x*i**2 - 2/5*i + 0.
-i*(i + 1)*(i + 2)/5
Let r(u) = 2*u - 14. Let a be r(7). Suppose -25*c + 24*c + 2 = a. Factor 20/7*b**c + 2/7 - 2*b.
2*(2*b - 1)*(5*b - 1)/7
Suppose 3*x = v - 2, 2*x + 2*v = -x + 4. Suppose -5*c**4 + 4*c + 14*c**2 - 9*c**4 + x*c - 6*c**3 + 2*c**3 = 0. What is c?
-1, -2/7, 0, 1
Let m be (4/(-7))/((-2)/7). Let t(g) = g - 5. Let j be t(8). Factor 2 - 3*p**j + 2*p + 2*p**5 - p**3 + 2*p**4 - 4*p**m + 0.
2*(p - 1)**2*(p + 1)**3
Let t(o) = -4*o**5 + o**4 + 6*o**3 + 7*o**2 - 4*o + 3. Let x(n) = -3*n**5 + 5*n**3 + 6*n**2 - 4*n + 2. Let k(h) = -2*t(h) + 3*x(h). Solve k(m) = 0 for m.
-2, 0, 1
Suppose -i + 0*i + 3 = 0. Suppose -3*b = i*w + 4 + 2, 5*b + 10 = -3*w. Factor w - 1/2*h - 1/2*h**2.
-h*(h + 1)/2
Let r(j) be the third derivative of j**5/30 - j**4/12 - 2*j**3/3 + 5*j**2. Suppose r(b) = 0. Calculate b.
-1, 2
Suppose 12 + 3 = 5*l. Let f(m) be the first derivative of -1/8*m**4 + 1/2*m - 2 - 1/6*m**l + 1/4*m**2. Factor f(x).
-(x - 1)*(x + 1)**2/2
Let m(g) = 4*g**2 - 2*g - 1. Let v be m(-1). Suppose -2*a - 12 = -v*a. Find w such that -3 - 4*w - 2*w**4 + 6*w**2 + 4 + 3*w**a - 4*w**3 = 0.
1
Let r = -80/3 - -107/4. Let j(s) be the first derivative of -r*s**4 + 0*s**2 + 0*s - 2/15*s**5 - 1/18*s**6 - 1 + 0*s**3. Determine c, given that j(c) = 0.
-1, 0
Let b(p) be the second derivative of p**4/42 + 2*p**3/3 + 13*p**2/7 - 39*p. Factor b(v).
2*(v + 1)*(v + 13)/7
Let x(s) = -3*s**3 + 1. Let w be x(-1). Suppose -w + 0 = -2*h. Factor 0 + 2/5*d**3 - 2/5*d + d**4 - d**h.
d*(d - 1)*(d + 1)*(5*d + 2)/5
Let s(q) = -59*q**3 + 15*q**2 + 45*q + 10. Let g(a) = -12*a**3 + 3*a**2 + 9*a + 2. Let n(d) = -11*g(d) + 2*s(d). Factor n(j).
(j - 1)*(2*j + 1)*(7*j + 2)
Let y(b) be the third derivative of -b**8/1176 + b**6/420 + 19*b**2. Suppose y(c) = 0. Calculate c.
-1, 0, 1
Suppose 6*r = 8*r - 10. Let h(k) be the first derivative of 2/15*k**3 + 0*k**2 - 4/25*k**r + 0*k - 1/10*k**4 + 1. Factor h(v).
-2*v**2*(v + 1)*(2*v - 1)/5
Let h(n) be the third derivative of n**7/42 + n**6/6 + n**5/3 - 16*n**2. Determine f so that h(f) = 0.
-2, 0
Let t = -2 + 4. Let 2 + 3*x + 10*x**2 + t + 11*x = 0. Calculate x.
-1, -2/5
Let z(g) be the third derivative of g**7/3780 - g**5/540 + g**3/2 - 3*g**2. Let o(y) be the first derivative of z(y). Factor o(i).
2*i*(i - 1)*(i + 1)/9
Let y(l) be the third derivative of l**3 + l**2 + 0*l + 