7 = 0?
-1, 3
Solve 0 + 0*d + 3/2*d**4 + 1/2*d**2 - 2*d**3 = 0 for d.
0, 1/3, 1
Let w(h) be the third derivative of h**7/189 - h**6/45 + h**5/30 - h**4/54 + 7*h**2. Factor w(p).
2*p*(p - 1)**2*(5*p - 2)/9
Suppose -2/21*b**2 + 0 - 8/21*b = 0. Calculate b.
-4, 0
Factor -4*a**4 - 7*a**2 - 11*a**2 + 14*a**2 + 8*a**3.
-4*a**2*(a - 1)**2
Let m be (-32)/(-17) - 66/(-561). Let -49/4*b**4 + 45/4*b**m + 1 + 7*b - 7*b**3 = 0. What is b?
-1, -2/7, 1
Let f(l) be the first derivative of 49*l**6/600 - 7*l**5/50 + l**4/10 + l**3/3 + 3. Let o(z) be the third derivative of f(z). Find i such that o(i) = 0.
2/7
Suppose 0*t + 4 = -2*h - 4*t, 0 = 3*h - t - 8. Let b(p) be the first derivative of -2/5*p**5 + 0*p**4 + h + 0*p + 0*p**2 + 2/3*p**3. Let b(n) = 0. What is n?
-1, 0, 1
Let c be -1 + 1*(3 - 0). Find o such that -3*o**3 - c*o + 6*o**3 - o**3 = 0.
-1, 0, 1
Let j(h) be the first derivative of -3 + 3*h + 9/2*h**2 + 3/4*h**4 + 3*h**3. Let j(s) = 0. Calculate s.
-1
Let y(a) = -a**3 - 4*a**2 + 9*a + 3. Let s be y(-6). Let o be s/30 + 2/(-10). Suppose 0*t + 0*t**2 + 0 + 1/4*t**4 + o*t**3 = 0. What is t?
-2, 0
Suppose -12*v**3 + 16*v**5 + 12*v - 16*v**3 + 4 - 17*v**2 + 13*v**2 = 0. What is v?
-1, -1/2, 1
Let n(g) be the second derivative of g**9/3024 + g**8/1680 + 2*g**3/3 - g. Let a(s) be the second derivative of n(s). Let a(k) = 0. What is k?
-1, 0
Let b(j) = -9*j**4 - 9*j**3 - 21*j**2 + 13*j + 13. Let w(q) = 2*q**3 - 7*q + 2*q**4 - 3 + 5*q**2 + 0*q + q + 3*q. Let i(m) = 6*b(m) + 26*w(m). Solve i(d) = 0.
-2, 0, 1
Let d(z) = -z**3 + z - 1. Let g(r) = 3*r**3 - 2*r + 3. Let i(v) = -2*d(v) - g(v). Let s(y) = -3*y**3 - y**2 - 2. Let a(w) = -2*i(w) + s(w). Factor a(j).
-j**2*(j + 1)
Let v(n) = 16*n**2 + 10*n + 5. Let o(d) = 3*d**2 + 2*d + 1. Let z(l) = 11*o(l) - 2*v(l). Factor z(s).
(s + 1)**2
Let m(i) be the third derivative of -i**5/20 + 11*i**4/8 + 6*i**3 + 3*i**2 + 11. Factor m(t).
-3*(t - 12)*(t + 1)
Let z(k) be the third derivative of 0*k + 0 + 1/20*k**6 + k**2 - 1/24*k**4 + 0*k**3 + 1/24*k**5. Factor z(v).
v*(3*v + 2)*(4*v - 1)/2
Let a(j) be the second derivative of j**5/25 - j**4/3 + 14*j**3/15 - 6*j**2/5 + 14*j. Find p, given that a(p) = 0.
1, 3
Let s(a) be the third derivative of a**5/120 - a**3/12 - 5*a**2. Factor s(m).
(m - 1)*(m + 1)/2
Suppose 0 = 93*l - 91*l - 6. Let x(q) be the second derivative of -2*q + 2/35*q**5 + 5/42*q**4 + 2/21*q**l + 1/105*q**6 + 0 + 0*q**2. Factor x(a).
2*a*(a + 1)**2*(a + 2)/7
Determine g, given that 4/19 + 26/19*g**2 + 56/19*g**3 - 26/19*g = 0.
-1, 1/4, 2/7
Let u(z) be the second derivative of -z**6/120 + z**5/20 - z**4/12 + 29*z. Factor u(i).
-i**2*(i - 2)**2/4
Let v = 0 + 2. Let t be 22/28 - 1/v. Factor 0 + 2/7*z + t*z**3 + 4/7*z**2.
2*z*(z + 1)**2/7
Let w(x) = x + 13. Let c be w(-10). Let h(v) be the third derivative of 0*v**5 - 2*v**2 + 0*v**4 + 0*v + 0*v**c + 1/480*v**6 + 0. Suppose h(k) = 0. Calculate k.
0
Let i = 99541/210 - 474. Let c(p) be the third derivative of p**2 + 0*p + 1/96*p**8 + 0*p**5 + 0 + 0*p**3 + 0*p**6 + 0*p**4 - i*p**7. Factor c(s).
s**4*(7*s - 2)/2
Let g(w) be the second derivative of -w**4/21 - 2*w**3/21 + 8*w. Solve g(k) = 0.
-1, 0
Let x be (0 - 2) + 36/15. Suppose 2*i - 4*z = -10, -3*i - 2*i + z = -11. Let -x*j**2 + 1/5*j**5 + 1/5 - 2/5*j**i + 1/5*j**4 + 1/5*j = 0. What is j?
-1, 1
Suppose -3*t + 4*j + 1 = 0, 0 = -3*t + 2*t + 4*j + 3. Let d be (2/21)/t*-3. Let -2/7*s**2 - d - 4/7*s = 0. Calculate s.
-1
Let p be -23 - -26 - ((-27)/21 - -4). Solve 4/7*c**2 + 0*c - 2/7*c**3 - p*c**4 + 0 = 0 for c.
-2, 0, 1
Suppose 4*j + 3*t = 5, 3*j + 3 - 13 = 4*t. Let v = 2/113 - -898/339. Factor j*k**2 - 1/3*k**3 + v - 4*k.
-(k - 2)**3/3
Factor -t**2 - t - t**3 - 3*t**2 + 2*t**2 + 4*t.
-t*(t - 1)*(t + 3)
Let c be 15/10 + 0/(-3) + 0. Factor 3/2*k**3 + 0 - 3/2*k**2 + c*k**4 + 0*k - 3/2*k**5.
-3*k**2*(k - 1)**2*(k + 1)/2
Find f such that -31/3*f**3 + 0 + 35/3*f**5 - 4/3*f - 8*f**2 + 8*f**4 = 0.
-1, -2/5, -2/7, 0, 1
Let t(a) = -a**4 + a**2 - a. Let x(w) = 4*w**3 + 2*w**2 - 6*w - 2. Let j(h) = -2*t(h) + x(h). Determine r, given that j(r) = 0.
-1, 1
Let j be (-6 + (-51)/(-8))/((-9)/(-12)). What is k in 1/4*k**2 - j*k + 1/4 = 0?
1
Let s(h) = -h. Let c be s(-3). Let w(a) be the third derivative of 0*a + 0*a**5 - 1/315*a**7 - a**2 + 0 + 0*a**4 + 0*a**c + 1/180*a**6. Solve w(y) = 0 for y.
0, 1
Let p(n) be the second derivative of -16*n**7/147 + 8*n**6/105 + 23*n**5/70 - n**4/6 - n**3/3 - n**2/7 + 8*n. Let p(w) = 0. Calculate w.
-1, -1/4, 1
Let g(w) be the second derivative of -w**5/20 + w**3/6 - 3*w. Factor g(m).
-m*(m - 1)*(m + 1)
Let m be 17*(9/30)/3. Let j = m + -6/5. Determine v so that -j*v**5 - v**3 + v**2 + 1/2 + 3/2*v - 3/2*v**4 = 0.
-1, 1
Let d be (-1 + 6)/(4/((-8)/(-2))). Let h(u) be the third derivative of 0*u**4 + 0 + 0*u + 2*u**2 - 1/150*u**d + 0*u**3. Factor h(q).
-2*q**2/5
Let l(p) be the first derivative of -49*p**4/18 + 350*p**3/27 - 88*p**2/9 + 8*p/3 + 4. Factor l(o).
-2*(o - 3)*(7*o - 2)**2/9
Let z be ((-8)/(-44))/(2*21/77). Determine x, given that 0 - 2/3*x**5 - x**2 + 1/3*x**3 + x**4 + z*x = 0.
-1, 0, 1/2, 1
Suppose -48*v = -72*v + 48. Find p, given that -1/4*p + 1/4*p**4 + 1/4*p**3 + 0 - 1/4*p**v = 0.
-1, 0, 1
Let i = -3 + 10. Let j = 16 + -9. Let 2*k**2 - j + i + 2*k + 0*k = 0. Calculate k.
-1, 0
Factor 3*u**2 - u**2 + 9 + 4 - 15.
2*(u - 1)*(u + 1)
Let x(f) = -f**3 + f**2 - f + 8. Let q be x(0). Let g = q + -3. Determine z, given that 0*z + 6/5*z**g - 4/5*z**2 + 0 + 4/5*z**4 - 6/5*z**3 = 0.
-1, -2/3, 0, 1
Let b(n) be the first derivative of -n**8/560 + n**6/40 + n**5/20 + 4*n**3/3 - 3. Let s(f) be the third derivative of b(f). Factor s(k).
-3*k*(k - 2)*(k + 1)**2
Let z(i) be the first derivative of 2*i**7/175 - i**6/60 + i**5/150 + 3*i**2/2 + 3. Let k(n) be the second derivative of z(n). Suppose k(l) = 0. Calculate l.
0, 1/3, 1/2
Let o(c) be the second derivative of -c**4/6 + 5*c**3/3 - 3*c**2 - 4*c. Let q(d) = -4*d**2 + 21*d - 11. Let x(z) = 5*o(z) - 2*q(z). Factor x(a).
-2*(a - 2)**2
Determine k so that 11*k**2 - 2*k - 6*k**2 - 7*k**2 = 0.
-1, 0
Let l be (-8)/(-28) - (-36)/21. Determine z so that l*z**5 + 4*z**4 + 162*z**2 - 162*z**2 + 2*z**3 = 0.
-1, 0
Let s(i) = i**4 + 9*i**3 + 4*i**2 - 5. Let p(y) = y**3 - 1. Let n(c) = -20*p(c) + 4*s(c). Factor n(a).
4*a**2*(a + 2)**2
Let y(z) be the first derivative of -z**6/3 - z**5/10 - 57. Let y(w) = 0. What is w?
-1/4, 0
Suppose 0 = 5*m - 252 + 7. Let j be 2/(-7) - (-112)/m. Factor 0 + 0*h**j + 0*h - 1/2*h**3.
-h**3/2
Suppose 3*l - 17 = d, 4*l = -5*d - 1 - 8. Suppose 0 = 3*z - 5*s - 14 - 17, 0 = -l*z - s + 3. Find v such that -2/9*v**4 - 4/9*v + 0*v**z + 4/9*v**3 + 2/9 = 0.
-1, 1
Let s = 0 + -1. Let y be (s/5)/((-9)/15). Solve -y*m - 1/3*m**2 + 1/3 + 1/3*m**3 = 0 for m.
-1, 1
Let g(f) = -3*f**4 + 15*f**3 + 27*f**2 + 27*f + 12. Let w(d) = d**4 - d - 1. Let k(i) = g(i) + 6*w(i). Factor k(h).
3*(h + 1)**3*(h + 2)
Suppose -4*c = -5*a - 48 + 162, 88 = 4*a - 4*c. Suppose -a*t = -23*t - 12. Factor 2*i**t + 0*i + 3/2*i**3 + 0 - 1/2*i**2.
i**2*(i + 1)*(4*i - 1)/2
Let k be (-27)/(-45) + 24/10. What is r in -k*r**2 - 2*r + 6*r**2 - 2*r + r**2 = 0?
0, 1
Solve -10/7 + 8/7*z + 2/7*z**2 = 0.
-5, 1
Let z(p) be the first derivative of p**4 + 0*p - p**2 - 2/3*p**3 - 1. What is y in z(y) = 0?
-1/2, 0, 1
Let p be 116/12 - 2/3. Let m be ((-4)/6)/((-3)/p). What is c in c**2 + 1/2 - 2*c + m*c**3 - 3/2*c**4 = 0?
-1, 1/3, 1
What is g in 0*g + 0 + 2/5*g**4 - 2/5*g**3 - 4/5*g**2 = 0?
-1, 0, 2
Find k, given that 3*k**2 + 2*k - 14 - 26*k + 62 = 0.
4
Let r(b) = -b**3 - 9*b**2 - 4*b + 35. Let y be r(-8). Find z such that 0 + z**y + 1/2*z**4 + 0*z**2 + 0*z = 0.
-2, 0
Factor 4/3*k + 2/3*k**4 - 2/3*k**5 + 0 + 2*k**3 - 10/3*k**2.
-2*k*(k - 1)**3*(k + 2)/3
Let w(r) = r**3 - 7*r**2 + r - 4. Let b be w(7). Let y(k) be the second derivative of -3*k + 0 - 1/6*k**b - 1/12*k**4 + k**2. Factor y(i).
-(i - 1)*(i + 2)
Let y(k) be the second derivative of 5*k**7/126 + k**6/18 - k**5/4 - 5*k**4/36 + 5*k**3/9 + 27*k. Find a, given that y(a) = 0.
-2, -1, 0, 1
Factor -2/7*k + 1/7*k**2 + 0.
k*(k - 2)/7
Let o = -79 - -114. Let i be (-3)/1*o/(-75). Factor g + i*g**2 - 2/5.
(g + 1)*(7*g - 2)/5
Let c be 35/10 + (-3)/2. Factor 0*n**2 - 3*n**2 + c*n**2 - n**2.
-2*n**2
Let r(w) = w**2 + 3*w + 6. Let v(y) = -2*y**2 -