 0. What is h?
-1, 1, 2
Factor 27/5*w - 12/5*w**2 - 6/5.
-3*(w - 2)*(4*w - 1)/5
Let i(p) = -7*p**4 + 10*p**3 + p**2 + 4*p. Let n(x) = 15*x**4 - 21*x**3 - 3*x**2 - 9*x. Let s(g) = -9*i(g) - 4*n(g). Factor s(c).
3*c**2*(c - 1)**2
Let x(t) be the third derivative of 1/50*t**5 + 0*t + 1/525*t**7 - 4/15*t**3 + 0 - 1/15*t**4 + 1/75*t**6 - t**2. Let x(j) = 0. Calculate j.
-2, -1, 1
Let d(o) be the second derivative of -2*o**7/1155 - o**6/220 + o**4/132 + o**2 - 9*o. Let b(l) be the first derivative of d(l). What is q in b(q) = 0?
-1, 0, 1/2
Factor 4*s**3 - 2*s**3 + 4*s**2 - 5*s + 0*s**2 - 3*s**3 + 2.
-(s - 2)*(s - 1)**2
Suppose 0*d + 5*d = 0. Factor 2*m**2 - 3*m**2 - 2*m - 3*m**2 - 2*m**3 + d*m**2.
-2*m*(m + 1)**2
Find s, given that 25*s**3 + 21*s**3 - 41*s**3 = 0.
0
Let s(j) be the third derivative of -j**6/180 - j**3/2 - 2*j**2. Let f(l) be the first derivative of s(l). Solve f(u) = 0 for u.
0
Let r = -15 - -17. Find n, given that -n + r - n + 2*n**2 - 2 = 0.
0, 1
Let f(b) = 5*b**2 + 30*b + 75. Let w(k) = 6*k**2 + 30*k + 75. Let c(z) = -3*f(z) + 2*w(z). Find n, given that c(n) = 0.
-5
Let o(r) = 2*r**4 - 8*r**3 - 10*r**2 + 6*r - 6. Let q(u) = -2*u**4 + 9*u**3 + 11*u**2 - 7*u + 7. Let x(m) = -7*o(m) - 6*q(m). Factor x(g).
-2*g**2*(g - 2)*(g + 1)
Factor -3/5*c**4 + 3/5*c**3 + 0 - 12/5*c + 12/5*c**2.
-3*c*(c - 2)*(c - 1)*(c + 2)/5
Find j, given that 1/3*j**4 + 0*j + 0*j**2 + 0*j**3 + 0 - 1/3*j**5 = 0.
0, 1
Suppose 4*q + 7 = 15. Factor -1/2*x + 1/4 - 3/4*x**q.
-(x + 1)*(3*x - 1)/4
Let q = -2 - -41/20. Let j(c) be the third derivative of 2/105*c**7 + 0 + q*c**6 + 0*c**5 + 0*c**3 - 1/12*c**4 + 0*c + 2*c**2. Determine d, given that j(d) = 0.
-1, 0, 1/2
Factor f**5 + 4*f**3 + f**2 - 8*f**3 + 3*f**3 - f**4.
f**2*(f - 1)**2*(f + 1)
Suppose -3*q + 25 + 50 = 0. Suppose -g - q = -3*o, 0*g - 3*g = -2*o + 12. Suppose -5 - 5*f**2 + o - 7*f - 6 = 0. What is f?
-1, -2/5
Suppose -11 + 33 = 11*l. Factor 3/2 + 3/2*m**l - 3*m.
3*(m - 1)**2/2
Let j(t) = t**2. Let x(l) = 2*l**2 + 5. Let u(k) = -4*j(k) + x(k). Let p(v) = v**2 - v - 6. Let q(f) = 3*p(f) + 4*u(f). What is n in q(n) = 0?
-1, 2/5
Suppose -4 = d - 7. Suppose m = -m. Factor -1/5*q**2 + m + 2/5*q - 3/5*q**d.
-q*(q + 1)*(3*q - 2)/5
Let k = -11 - -24. Suppose 3*u + 4*v = -12 - 2, 0 = u + 3*v + k. Factor 1/4*x**4 + 0*x - 1/2*x**u + 0*x**3 + 1/4.
(x - 1)**2*(x + 1)**2/4
Let s be 15/(-63)*(5 - 6)*3. Let v(a) be the first derivative of -1/14*a**4 - 4/7*a - 8/21*a**3 - s*a**2 - 1. Factor v(z).
-2*(z + 1)**2*(z + 2)/7
Suppose 0 = l + 5*a - 28, 0*l + 3*l - 4*a + 11 = 0. Let o be (-2 - 6/10) + l. Factor -2/5*b**2 + 2/5 + o*b**3 - 2/5*b.
2*(b - 1)**2*(b + 1)/5
Let r(w) be the first derivative of -w**4/4 - 4*w**3 - 24*w**2 - 64*w + 39. What is m in r(m) = 0?
-4
Let y(r) be the second derivative of 0*r**2 + 0 + 1/4*r**4 - 1/10*r**6 + 0*r**5 + 0*r**3 + 5*r. Factor y(o).
-3*o**2*(o - 1)*(o + 1)
Let x be 1/(-3) - 1/(-3). Suppose 4*a + 16 = x, 4*o + 7*a + 12 = 4*a. Factor 3*m**3 - m**3 + o*m**3.
2*m**3
Let p(q) be the second derivative of q**5/30 + q**4/4 + 2*q**3/3 - 5*q**2/2 + 2*q. Let f(o) be the first derivative of p(o). Let f(i) = 0. Calculate i.
-2, -1
Let a(y) be the second derivative of -y**6/135 - y**5/90 + y**4/54 + y**3/27 - y. Determine b, given that a(b) = 0.
-1, 0, 1
Factor 4/5*f**3 - 4/5*f**2 - 8/5*f + 0.
4*f*(f - 2)*(f + 1)/5
Let j(w) be the first derivative of 245*w**4/4 + 70*w**3/3 + 5*w**2/2 + 16. Determine l, given that j(l) = 0.
-1/7, 0
Suppose -14 - 24*a**3 + 23*a**3 + 2*a**2 + 6 + 4*a = 0. Calculate a.
-2, 2
Let s(t) be the third derivative of -t**6/120 + t**5/20 + t**2 + 13*t. Suppose s(n) = 0. What is n?
0, 3
Let b = 1 - -3. Let n(h) be the second derivative of 0 + 0*h**2 + 1/18*h**b - h + 0*h**3 + 1/30*h**5. Factor n(o).
2*o**2*(o + 1)/3
Suppose 3*x = -x + 2*k + 2, 28 = x + 5*k. Factor -4 + 2*g**2 + 4 + 2*g + g**x - g.
g*(g + 1)**2
Let z be 1*(4 - (19 + -3)). Let u be z/(-28)*2/3. Factor u*c**2 - 4/7 + 6/7*c - 6/7*c**3 + 2/7*c**4.
2*(c - 2)*(c - 1)**2*(c + 1)/7
Let x = 23 + -3. Determine g, given that -20 + 8*g - 15*g**4 + x + 3*g**5 + 27*g**3 - 2*g - 21*g**2 = 0.
0, 1, 2
Let f = 108 + -108. Let b be (-2)/(-3)*(-3)/(-7). Factor f*t + 0 + b*t**3 + 0*t**2.
2*t**3/7
Let q(g) be the first derivative of g**7/420 - g**6/90 + g**5/60 - g**3 + 3. Let u(n) be the third derivative of q(n). What is p in u(p) = 0?
0, 1
Let z(u) be the first derivative of 0*u**2 - 1 + 0*u**3 + u - 1/30*u**5 - 1/9*u**4. Let y(x) be the first derivative of z(x). Suppose y(t) = 0. What is t?
-2, 0
Let o = -42388/3655 + -2/731. Let v = o + 12. Factor -v*w - 2/5*w**4 + 2/5*w**2 + 0 + 2/5*w**3.
-2*w*(w - 1)**2*(w + 1)/5
Let f(m) be the third derivative of m**6/200 + 3*m**5/50 + 11*m**4/40 + 3*m**3/5 - 2*m**2 + 1. Factor f(o).
3*(o + 1)*(o + 2)*(o + 3)/5
Let b be (-5)/4 - 3/(-12). Let y be -5*((-7)/5 - b). Factor 14*w**2 - 3*w + 4*w**y - w.
2*w*(9*w - 2)
Let l(h) be the first derivative of -h**4 - 16*h**3/3 + 10*h**2 + 32. Determine t, given that l(t) = 0.
-5, 0, 1
Let n = 3 + -3. Suppose -5*d - 16 = 4*b, n = -d - 4*d - b - 4. Factor -2/11*o**2 + 2/11*o + d.
-2*o*(o - 1)/11
Let m(y) be the third derivative of 0 + 1/150*y**5 - 1/525*y**7 + 0*y + 1/60*y**4 + y**2 + 0*y**3 - 1/300*y**6. What is u in m(u) = 0?
-1, 0, 1
Let w(d) = -d - 7. Let c be w(-11). Suppose 0 = -4*f + 16 + c. Factor 1/4*h**3 + 0*h**4 - 1/4*h**f + 0*h**2 + 0 + 0*h.
-h**3*(h - 1)*(h + 1)/4
Let r(f) = 0 + 2 - f**4 - 1 - f**2. Let v(k) = 10*k**4 - 8*k**2 + 19*k**2 - 16 + k**3 + 5. Let j(b) = -22*r(b) - 2*v(b). Factor j(i).
2*i**3*(i - 1)
Let z(a) be the second derivative of 1/18*a**4 + 0*a**2 + 1/9*a**3 + 0 - 3*a. Suppose z(o) = 0. Calculate o.
-1, 0
Let y(g) = g**2 - 4*g - 3. Let d be y(4). Let t = d + 7. Factor -f + 1 - 3*f**3 + 0 + t*f**3 - f**2.
(f - 1)**2*(f + 1)
Let o(z) be the third derivative of z**8/84 + 2*z**7/21 + 3*z**6/10 + 7*z**5/15 + z**4/3 + 6*z**2. What is g in o(g) = 0?
-2, -1, 0
Let m(p) be the third derivative of 0*p - 1/45*p**5 + 0 + 1/18*p**3 + 1/24*p**4 - 3*p**2. Solve m(y) = 0.
-1/4, 1
Let j(q) be the first derivative of -q**7/280 - q**6/180 - q**3/3 - 7. Let c(u) be the third derivative of j(u). Factor c(y).
-y**2*(3*y + 2)
Suppose 4*x - 16 = -2*g, -x - 4*g + 23 = 4*x. Suppose x*c - 2 = 4*o + 2, 4*o = -2*c - 4. Determine t so that -2/3*t**2 + c + 0*t = 0.
0
Let c(s) be the first derivative of -s**6/1440 + s**5/120 - s**4/24 - s**3/3 - 3. Let r(i) be the third derivative of c(i). Find q, given that r(q) = 0.
2
Suppose -4*o + 0 = -2*q + 28, 4*q - 101 = -o. Let -q*u - 6 + 75/2*u**3 - 15/2*u**2 = 0. Calculate u.
-2/5, 1
Let b(p) be the second derivative of 0 + 7/6*p**3 + 5/4*p**4 + 3*p + 9/20*p**5 + 1/2*p**2. Determine c so that b(c) = 0.
-1, -1/3
Suppose b + 3 = 5*x - 14, 3*x = 2*b + 6. Factor 3*c**5 + c**3 + c**4 + 0*c**x - 2*c**5 - 3*c**4.
c**3*(c - 1)**2
Let z(t) be the first derivative of -1/6*t**3 + 1/8*t**4 + 10 + 1/2*t - 1/4*t**2. Factor z(v).
(v - 1)**2*(v + 1)/2
Let v(c) = -c**5 + c**4 - c**2 - c. Let q(k) be the first derivative of 4*k**6/3 - 2*k**5 + 10*k**3/3 + 2*k**2 + 2. Let x(j) = -q(j) - 6*v(j). Solve x(y) = 0.
-1, 0, 1
Suppose 2*c = -2*n + 1 + 1, -3*c + 3*n = -9. Factor -2*b + 2*b**3 + 0*b**2 - c*b**2 + 3 - 4 + 3*b**2.
(b - 1)*(b + 1)*(2*b + 1)
Let d(p) = 7*p - 5. Let n be d(1). Let k(h) be the first derivative of -1/14*h**4 - n + 0*h**3 + 0*h + 0*h**2. Factor k(l).
-2*l**3/7
Let k be ((-10)/(-4) - 1)*1. Suppose -18 = -3*a - 12. What is g in -1/2 + k*g - g**a = 0?
1/2, 1
Let m(g) be the third derivative of g**6/240 - g**5/60 - g**4/12 + 2*g**3/3 - 6*g**2. Solve m(l) = 0.
-2, 2
Let x(t) = 4*t**2 + 13*t - 10. Let o(d) = 3*d**2 + 12*d - 9. Let l(k) = 7*o(k) - 6*x(k). Let l(c) = 0. Calculate c.
1
Let i = -825/104 - -69/8. Let w = i - 37/91. Suppose -2/7*j**4 + 0*j**2 + 0*j + w*j**3 + 0 = 0. Calculate j.
0, 1
Suppose 7*f - 23 = -9. Let k be (-11)/((-363)/72) - f. Find j such that -2/11*j**4 + 0 - 2/11*j**3 + 2/11*j + k*j**2 = 0.
-1, 0, 1
Let q(n) be the first derivative of 4*n**3/3 - 2*n**2 - 8*n + 5. Let q(z) = 0. What is z?
-1, 2
Suppose -26 = -x - 5*d, -3*d - 32 = -4*x + d. Solve 10*c**4 + 6 - x*c**3 + 20*c**2 - 4 - 2*c**5 - 10*c - 9*c**3 = 0 for c.
1
Let q be (-2 - 28/(-16))*90. Let m = q + 319/14. Let 2/7*h + 2/7 - 2/7*h**3 - m*h**2 