 - 6*s**2 + 2. Solve y(h) = 0.
-1, 0, 2
Suppose -2*t = 24 - 6. Let k be -1*(-6)/t*-3. Determine n, given that -2*n**k - n**2 + 5*n**2 = 0.
0
Let z(a) be the first derivative of -a**6/1080 - a**5/60 - a**4/8 + 8*a**3/3 + 11. Let i(q) be the third derivative of z(q). Let i(h) = 0. Calculate h.
-3
Let j(a) = -a**3 + 8*a**2 + a - 9. Let w be j(8). Let s be w/3*12/(-14). Suppose 0 + s*q - 2/7*q**3 + 2/7*q**4 - 2/7*q**2 = 0. Calculate q.
-1, 0, 1
Let n(t) be the second derivative of t**7/189 - 2*t**6/135 + t**4/27 - t**3/27 + 24*t. Find w such that n(w) = 0.
-1, 0, 1
Let k(l) be the third derivative of 0 + 1/300*l**6 + 1/1050*l**7 + 0*l + 1/300*l**5 + 0*l**3 + 2*l**2 + 0*l**4. Factor k(g).
g**2*(g + 1)**2/5
Let g(q) be the first derivative of q**5/60 - q**4/3 + 8*q**3/3 + q**2 + 3. Let m(l) be the second derivative of g(l). Factor m(z).
(z - 4)**2
Let b(a) = -2*a**5 + 3*a**4 + 2*a**3 - a**2 + 2. Let q be 0 - 6*(-2 - -3). Let t(c) = c**4 + 1. Let z(h) = q*t(h) + 3*b(h). What is s in z(s) = 0?
-1, 0, 1/2, 1
Let v(z) = 4*z**3 - 4*z**2 + 6*z + 6. Let w(s) = s**3 - s**2 + s + 1. Let n(y) = v(y) - 6*w(y). Factor n(b).
-2*b**2*(b - 1)
Let o = 6/121 - -123/4840. Let l(c) be the second derivative of -o*c**5 + 3*c + 0*c**3 + 0*c**2 + 0 - 1/12*c**4. Factor l(v).
-v**2*(3*v + 2)/2
Let z = -20 + 25. Let w(k) be the first derivative of -2/5*k**z - 1/6*k**3 - 7/16*k**4 + 2 + 0*k**2 + 0*k - 1/8*k**6. Suppose w(i) = 0. Calculate i.
-1, -2/3, 0
Let z = -218/3 + 73. Solve -z*v**3 + 4/3 + 0*v - v**2 = 0.
-2, 1
Let g(s) be the second derivative of -s**5/2 - 8*s**4 - 35*s**3 + 50*s**2 + 10*s. Factor g(r).
-2*(r + 5)**2*(5*r - 2)
Factor -1/3 - 3/4*q**2 + 5/3*q.
-(q - 2)*(9*q - 2)/12
Suppose 0 = -428*q + 411*q. Factor q*s - 1/7*s**4 + 2/7*s**2 - 1/7*s**3 + 0.
-s**2*(s - 1)*(s + 2)/7
Let f(s) = -s + 7. Let d be f(5). Factor -7*b**5 - 2*b**d - 3*b**3 + 5*b**4 - 6*b**3 + 6*b**5 - 2*b + 9*b**2.
-b*(b - 2)*(b - 1)**3
Factor 3/4*w**4 + 3/2*w**3 - 3/4*w**2 - 3/2*w + 0.
3*w*(w - 1)*(w + 1)*(w + 2)/4
Let j = -897/5 + 180. What is l in 3/5*l**2 - 3/5*l**3 - 3/5*l**4 + j*l**5 + 0 + 0*l = 0?
-1, 0, 1
Let b(z) be the second derivative of -z**7/5040 - z**6/960 - z**5/480 + z**4/12 - z. Let f(m) be the third derivative of b(m). Find o, given that f(o) = 0.
-1, -1/2
Let j(y) = -y**2 - 7*y - 7. Let g be j(-5). Let k(t) be the third derivative of 0*t**3 + 0 - 1/60*t**6 - g*t**2 + 1/48*t**4 + 0*t - 1/40*t**5. Factor k(c).
-c*(c + 1)*(4*c - 1)/2
Suppose 0*k = 5*k - 15. Factor v**2 + 0*v - k*v + 0*v**2.
v*(v - 3)
Let r(q) be the second derivative of -q**8/20160 - q**7/1512 - 7*q**6/2160 - q**5/120 + q**4/12 + 5*q. Let g(a) be the third derivative of r(a). Factor g(z).
-(z + 1)**2*(z + 3)/3
Let z be (-2)/(-9*3/6). Factor -4/9*f**2 + 2/9 + 2/9*f**4 - z*f**3 + 2/9*f + 2/9*f**5.
2*(f - 1)**2*(f + 1)**3/9
Let h be (4/6)/(3/9). Suppose 3 - 4*n + 2 + 6*n**2 - 5 - h*n**4 = 0. Calculate n.
-2, 0, 1
Let c = -5 - -7. Factor -2*o**2 + 2*o**4 - 5*o**3 + 5*o**3 - 2*o**3 - c*o + 4*o.
2*o*(o - 1)**2*(o + 1)
Let o = -24 + 26. Factor 14*g - 17*g - g**o + 2 - 4.
-(g + 1)*(g + 2)
Let p(o) = 2*o**2 + 10*o. Suppose 3*b = b + 3*u - 11, 2*u = -3*b - 36. Let a(w) = -w. Let y(f) = b*a(f) - p(f). Factor y(r).
-2*r**2
Let a(g) = -g**4 + 12*g**3 + 9*g**2 - 12*g - 16. Let b(i) = 2*i**4 - 36*i**3 - 27*i**2 + 36*i + 47. Let f(s) = -11*a(s) - 4*b(s). Find d such that f(d) = 0.
-2, -1, 1
Let z(a) be the third derivative of 1/10*a**5 - 1/40*a**6 + 3*a**2 + 0*a + 0*a**4 + 0*a**3 + 0. Suppose z(t) = 0. What is t?
0, 2
Let f(n) be the second derivative of 21/40*n**5 + 0*n**2 - 5/6*n**4 + 0 + n + 1/3*n**6 - 25/84*n**7 + 1/3*n**3. Suppose f(s) = 0. Calculate s.
-1, 0, 2/5, 1
Let o(y) = -y**4 - y**3 + y**2 + y - 1. Let q(d) = 9*d**4 + 21*d**3 + 18*d**2 + 6*d + 6. Let z(k) = 6*o(k) + q(k). Factor z(c).
3*c*(c + 1)*(c + 2)**2
Let d(a) = -a**3 - 5*a**2 - 6*a - 3. Let q be d(-4). Suppose -q*m + 12 = -m. Factor 0*h**3 + h**5 - h**3 + h**5 - m*h**5 - 2*h**4.
-h**3*(h + 1)**2
Suppose -5*t - 2*r = -r - 8, -4*t + 2*r + 12 = 0. Let d(x) = -x**2 + 10*x - 8. Let w be d(8). Factor 2*a**2 - w*a - t + 4 + 4*a**2 + 0.
2*(a - 1)*(3*a - 1)
Let b(q) be the first derivative of -18/35*q**5 - 6/7*q + 27/14*q**2 + 3/2*q**4 - 3 + 1/14*q**6 - 16/7*q**3. Factor b(s).
3*(s - 2)*(s - 1)**4/7
Suppose 3*s = o + 3, s = -3*o - 5 + 16. Suppose 6*x - x + 4 + 9*x + x**s + 9*x**2 = 0. What is x?
-1, -2/5
Let g(y) be the first derivative of -y**4/2 + 2*y**3/3 + 4*y**2 - 8*y - 9. Factor g(a).
-2*(a - 2)*(a - 1)*(a + 2)
Let w be (-4 + 3 - -2)/1. Let v(l) be the first derivative of w - 1/6*l**3 + 1/24*l**6 + 1/10*l**5 + 0*l**4 - 1/8*l**2 + 0*l. What is x in v(x) = 0?
-1, 0, 1
Let u(g) = -3*g**4 + 19*g**3 - 31*g**2 + 25*g - 10. Let i(v) = -21*v**4 + 132*v**3 - 216*v**2 + 174*v - 69. Let p(j) = -4*i(j) + 27*u(j). What is r in p(r) = 0?
1, 2
Let t(w) = 2*w**3 + 1. Let m(q) = -q**3 - q - 1. Let p(g) = 4*m(g) + 4*t(g). Suppose p(c) = 0. Calculate c.
-1, 0, 1
Let q(g) be the first derivative of -7*g**5/10 + 13*g**4/4 - 13*g**3/6 - 3*g**2/2 + 5. Find w, given that q(w) = 0.
-2/7, 0, 1, 3
Let l = 14 - 10. Let g(t) be the third derivative of -1/8*t**l + t**2 - 1/20*t**5 - 1/6*t**3 - 1/120*t**6 + 0 + 0*t. Find i such that g(i) = 0.
-1
Let t be -6*(-2)/(-2 + 6). What is o in 1/2*o**2 + 1/4*o**t + 1/4*o + 0 = 0?
-1, 0
Suppose -2*x - 4*j - 6 + 2 = 0, -x = -j - 7. Factor 3*q**3 - 9*q**2 - 11*q - 16 + 3*q**4 + 10 - x*q.
3*(q - 2)*(q + 1)**3
Let h(m) be the first derivative of -2 - 2/27*m**3 + 0*m + 1/9*m**2. Factor h(n).
-2*n*(n - 1)/9
Let f = -936 + 6554/7. Let o(k) = -k**2 - 4*k. Let n be o(-4). Solve 2/7*l + n - f*l**2 = 0.
0, 1
Let p(x) be the second derivative of 0*x**2 + 1/252*x**7 + 0*x**5 - 1/180*x**6 + 0*x**4 + 0*x**3 + 0 - x. Factor p(c).
c**4*(c - 1)/6
Let h = 39 + -39. Factor h + 2/5*s + 2/5*s**3 - 4/5*s**2.
2*s*(s - 1)**2/5
Let h be (3 + (-4 - -2))/((-4)/(-7)). Let 5/4*u**3 - h*u**2 + 1 - 2*u = 0. Calculate u.
-1, 2/5, 2
Let b(d) = -3*d**4 - 4*d**3 - 5*d**2 - 4*d. Let o(w) = 4*w + w**2 - 4*w - 2*w + 3*w. Let p(u) = b(u) + 4*o(u). Solve p(i) = 0 for i.
-1, -1/3, 0
Let l(n) be the first derivative of -2*n**2 + 0*n - 16/3*n**3 + 8 - 3*n**4. Factor l(t).
-4*t*(t + 1)*(3*t + 1)
Let t(z) be the third derivative of 2*z**2 + 49/60*z**6 - 8/21*z**3 + 0 + z**4 + 0*z - 7/5*z**5. Factor t(r).
2*(7*r - 2)**3/7
Let b be 5/2*(-2)/(-1). Factor 25/4*n**b - 97/4*n**2 + 139/4*n**3 - 1 - 95/4*n**4 + 8*n.
(n - 1)**3*(5*n - 2)**2/4
Let l be (40/(-30))/(1/3). Let n = 4 + l. Factor 0*k - 4/5*k**2 + n - 18/5*k**3 - 2*k**5 - 24/5*k**4.
-2*k**2*(k + 1)**2*(5*k + 2)/5
Solve -2/3 + 19/3*b - 56/3*b**2 + 16*b**3 = 0 for b.
1/4, 2/3
Let o(v) = -v**2 + v - 8. Let a(l) = 2*l**2 - 2*l + 8. Let n(t) = -5*a(t) - 6*o(t). Find i such that n(i) = 0.
-1, 2
Let s(b) be the second derivative of b**8/252 - 2*b**7/315 - b**6/90 + b**5/45 - b**2 + 2*b. Let v(r) be the first derivative of s(r). Solve v(p) = 0 for p.
-1, 0, 1
Let r(f) be the first derivative of -6/5*f**5 + 2*f**3 - f**2 - 2 + 0*f + 1/2*f**4. Solve r(l) = 0.
-1, 0, 1/3, 1
Let b be (0 - -3 - 3)*(1 + 0). Factor -1/5*c**3 + 2/5 + b*c**2 + 3/5*c.
-(c - 2)*(c + 1)**2/5
Let n(i) be the third derivative of i**6/420 + i**5/70 + i**4/42 - 9*i**2. Suppose n(o) = 0. What is o?
-2, -1, 0
Let k(x) be the second derivative of 2/75*x**6 + 3*x + 0 - 1/15*x**4 + 0*x**3 - 1/25*x**5 + 0*x**2 + 2/105*x**7. Factor k(b).
4*b**2*(b - 1)*(b + 1)**2/5
Let w(s) = s**3 - s**2 - 2*s. Let v be w(2). Solve v*y - 3/5*y**4 + 0*y**3 + 4/5*y**2 + 0 + 1/5*y**5 = 0.
-1, 0, 2
Let g(q) be the first derivative of -q**4/2 + 14*q**3 - 147*q**2 + 686*q + 8. Factor g(l).
-2*(l - 7)**3
Let t(s) be the second derivative of -s**4/12 - s**3/3 - s**2/2 + 6*s. Find f, given that t(f) = 0.
-1
Suppose -4/3*t + 2/3*t**2 + 2/3 = 0. Calculate t.
1
Let d(u) = -u**3 + 3*u**2 - 2*u. Let i be d(1). Suppose 4*f = 5 + 11. Suppose 1/4*c**f - 1/4*c + i - 1/4*c**2 + 1/4*c**3 = 0. What is c?
-1, 0, 1
Suppose 0 = 7*i - 3*i - 8. Let o(j) = -j**2 - j + 1. Let k(g) = g - 4 + 2*g**2 + g + 1. Let x(u) = i*k(u) + 6*o(u). Find v such that x(v) = 0.
-1, 0
Suppose 0 = r - r + r. Solve 0 - 3/4*z**4 - 3/2*z**3 + r*z - 3/4*z**2 = 0.
-1, 0
Let y(h) be the third derivative of -h**8/23520 + h**6/840 + h**5/210 + h**4/6 - 3*h**2. 