 - 4*s**6/5 - 3*s**5/20 + s**4/2 - 32*s. Let q(r) = 0. Calculate r.
-1, 0, 2/5
Let a(y) = -13*y**2 - 17*y + 9. Let i(q) = 3*q**2 + 4*q - 2. Let k(t) = 2*a(t) + 9*i(t). Let k(m) = 0. What is m?
-2, 0
Factor a + 2*a - 4*a + 2*a**3 - a + 2*a**2 - 2*a**4.
-2*a*(a - 1)**2*(a + 1)
Solve -10/7*s**3 - 6/7*s + 2/7*s**4 + 2*s**2 + 0 = 0 for s.
0, 1, 3
Suppose 5*m - 14 + 4 = 0. Suppose -22 = -4*w - 2*h, -w = -0*w - h + m. Solve 1/4*y**w - 1/4*y + 1/4*y**2 - 1/4 = 0 for y.
-1, 1
Let 12*l - 6*l + 0*l + 9 - 3*l**2 = 0. Calculate l.
-1, 3
Factor 2*g**3 - g**3 + 4*g - g**3 - 4*g**3.
-4*g*(g - 1)*(g + 1)
Let p(j) be the third derivative of j**8/60480 - j**7/7560 + j**6/2160 - 2*j**5/15 + 3*j**2. Let a(m) be the third derivative of p(m). Factor a(u).
(u - 1)**2/3
Suppose -3*i**4 - 32*i**4 - 24*i**3 + 32*i**2 - i**4 + 4 + 24*i = 0. Calculate i.
-1, -1/3, 1
Determine r, given that 2*r**3 + 5*r**3 + 2*r**4 - 3*r**3 + 2*r**3 + 4*r**2 = 0.
-2, -1, 0
Let y(m) = -m**2 + 1. Let o be y(2). Let x = -3 - o. Determine g, given that 0*g**2 + 0 + x*g - 1/5*g**3 + 1/5*g**4 = 0.
0, 1
Suppose -7*m + 3*m = -8. Factor -2 - 2 - 2*d - 2*d**m - 4*d.
-2*(d + 1)*(d + 2)
Let c = 200 + -397/2. Find d such that 0 - 1/2*d**3 + c*d - d**2 = 0.
-3, 0, 1
Let x(r) = r**3 - 5*r**2 - 4. Let g be x(5). Let h = g - -6. Factor -b + 5*b**2 - b**2 + b**4 - b**h - 3*b**3.
b*(b - 1)**3
Let p(o) = -o - 22. Let x be p(-11). Let h be (-9)/(-5) + x/(-55). Find l, given that -15/2*l**3 - l + 0 + 11/2*l**h = 0.
0, 1/3, 2/5
Let f(b) be the first derivative of -7/9*b**3 + 5 - 5/12*b**4 - 1/3*b**2 + 0*b. Factor f(q).
-q*(q + 1)*(5*q + 2)/3
Let y(q) be the first derivative of 2 + 16*q + 8*q + 5 - 4*q**3 - 14*q**2. Determine p, given that y(p) = 0.
-3, 2/3
Let g(z) be the first derivative of 0*z - 6 + 3/2*z**2 - 3/4*z**6 + 3/8*z**4 + 3/2*z**5 - 5/2*z**3. Determine w so that g(w) = 0.
-1, 0, 2/3, 1
Let y = 117 - 113. Let o(p) be the second derivative of -1/27*p**3 + 1/54*p**4 + 0 - y*p + 0*p**2. Solve o(d) = 0 for d.
0, 1
Let a(o) = 1 + 5*o - 5*o + o. Let u(h) = h**2 + 4*h + 7. Suppose 0 = 4*t, 5*c + 0*t - 30 = 4*t. Let g(r) = c*a(r) - u(r). Solve g(q) = 0 for q.
1
Let n = 9 - 6. Factor y - 2*y**3 + y**2 + 7*y**n + 2 - 6*y**3 - 3.
-(y - 1)**2*(y + 1)
Let d(g) = -4*g**4 - 10*g**3 - 8*g**2 - 2. Let r(s) = -17*s**4 - 41*s**3 - 32*s**2 - 9. Let k(y) = -9*d(y) + 2*r(y). Factor k(z).
2*z**2*(z + 2)**2
Let j be (3/9)/((-1)/(-18)). Factor -62*o**2 + 62*o**2 - 3*o**3 + j*o**4.
3*o**3*(2*o - 1)
Let t(c) be the second derivative of c**5/60 + 5*c**4/72 + c**3/12 + 43*c. Find k such that t(k) = 0.
-3/2, -1, 0
Let f(y) be the third derivative of 0*y + 0*y**3 - 4*y**2 + 1/60*y**5 + 0 + 1/210*y**7 + 1/60*y**6 + 0*y**4. Suppose f(o) = 0. What is o?
-1, 0
Suppose -3*h - 11 = -4*x, -5*x + h + 17 - 6 = 0. Find s such that 1/4*s - 1/8 - 1/8*s**x = 0.
1
Suppose 6 - 1 = z. Determine u, given that -15*u**3 + u**2 + 5*u**2 + 2*u**z + 12*u**4 - 5*u**5 = 0.
0, 1, 2
Let c(f) = -f + 7. Let o be c(5). Let y be (6/45)/(o/3). Factor -1/5*w - y*w**2 + 0.
-w*(w + 1)/5
Let h(m) be the third derivative of m**7/105 + m**6/30 + 5*m**2. Suppose h(j) = 0. What is j?
-2, 0
Let l = 8/5 - 4/15. What is p in 2*p**3 + 0 + 14/3*p**2 + l*p = 0?
-2, -1/3, 0
Let d(k) be the second derivative of k**5/210 - k**4/42 + 3*k**2/2 + 5*k. Let j(m) be the first derivative of d(m). Determine l, given that j(l) = 0.
0, 2
Let w = 5 + -3. Let d be 1*(2 + (w - 0)). Let 0*r + 2/3*r**2 + 4/3*r**3 + 0 + 2/3*r**d = 0. Calculate r.
-1, 0
Let h(u) be the third derivative of -u**9/24192 + u**8/20160 + u**5/20 + 2*u**2. Let x(g) be the third derivative of h(g). Let x(m) = 0. What is m?
0, 2/5
Let b be 8/10*(-5)/(-2). Determine w, given that -4*w**5 - 3*w**3 - 15*w**4 - 5*w**5 + 2*w**2 + w**b = 0.
-1, 0, 1/3
Let s be (6/(-8))/((-1)/4). Factor 2*h**3 + 6*h + 2*h**s + 3*h**2 - 2*h**3 - 5*h**3.
-3*h*(h - 2)*(h + 1)
Let s be (-5)/(10/4) - -2. Let z be 4 - (-2 + -2)/4. Factor -6*w**3 - z*w**4 + s - 3/2*w**5 - 3*w**2 - 1/2*w.
-w*(w + 1)**3*(3*w + 1)/2
Suppose -2/5*b - 106/15*b**3 + 16/5*b**4 + 22/5*b**2 - 2/15 = 0. What is b?
-1/8, 1/3, 1
Let i(c) = -3*c**5 - 2*c**4 - 2*c**3 + 4*c**2 + c - 2. Let d(u) = 4*u**5 + 2*u**4 + 3*u**3 - 5*u**2 - u + 3. Let w(a) = -2*d(a) - 3*i(a). Factor w(s).
s*(s - 1)*(s + 1)**3
Suppose 0 = 68*j - 73*j + 10. Factor 1/3*q**4 + 1/3 + 0*q - 2/3*q**j + 0*q**3.
(q - 1)**2*(q + 1)**2/3
Suppose 5*b = r - 0*r + 3, -4*r = -b - 7. Suppose 2/11*g**r + 2/11*g + 0 = 0. What is g?
-1, 0
Let 0 + 4/7*g**2 + 2/7*g**3 + 2/7*g = 0. Calculate g.
-1, 0
Let y(v) be the third derivative of 0*v - 1/210*v**7 + 5*v**2 + 0*v**4 - 1/15*v**5 + 0*v**3 - 1/30*v**6 + 0. Factor y(l).
-l**2*(l + 2)**2
Let f be (-2)/2 - (1 - 9). Solve -3*j + 12*j**2 + f*j + 2*j - 3*j - 15*j**3 = 0 for j.
-1/5, 0, 1
Let k = 8/37 - -76/333. Let -2/9*u + 8/9*u**2 + 4/9*u**3 - 2/9*u**5 - k - 4/9*u**4 = 0. Calculate u.
-2, -1, 1
What is y in 0 - 12/7*y**2 + 8/7*y + 4/7*y**3 = 0?
0, 1, 2
Let t(p) be the third derivative of -p**6/900 - p**5/300 + p**4/30 - 5*p**3/6 - 4*p**2. Let k(b) be the first derivative of t(b). Factor k(g).
-2*(g - 1)*(g + 2)/5
Suppose 72 = 41*z - 10. Factor 2/3*l - 2/3*l**3 + 2/9*l**z - 2/9.
-2*(l - 1)*(l + 1)*(3*l - 1)/9
Suppose -2*t = 5*g - 20, -g + 4 = -3*t + 2*t. Suppose t = -w + 5*w - 8. What is p in -2 + 2*p**w - 6*p**5 + 10*p**3 - 2*p**4 + 2 - 4*p = 0?
-1, 0, 2/3, 1
Let v be ((-4)/(-8) + (-3)/4)*-8. Find x, given that -8/3*x**4 + 2/3*x**5 + 4/3 + 8/3*x**3 - 10/3*x + 4/3*x**v = 0.
-1, 1, 2
Let w be ((-4)/(-5))/(27/5 - 5). Let q(p) be the second derivative of -1/10*p**5 + 0*p**4 + 1/3*p**3 + 0 + 0*p**w + 2*p. Factor q(d).
-2*d*(d - 1)*(d + 1)
Let q(u) be the first derivative of u**4/22 - 8*u**3/33 - 32. Factor q(f).
2*f**2*(f - 4)/11
Factor 0*x**3 - 2/11*x + 4/11*x**4 - 4/11*x**2 + 0 + 2/11*x**5.
2*x*(x - 1)*(x + 1)**3/11
Let g = 14 - 12. Let p(a) be the third derivative of 1/1512*a**8 + 0*a**3 + 0 + 0*a**4 + 1/180*a**6 + 0*a - a**g + 1/315*a**7 + 1/270*a**5. Factor p(h).
2*h**2*(h + 1)**3/9
Let v(k) be the first derivative of k**2 - 5*k - 8. Let c be v(4). Factor 2/5*w**c - 1/5 + 3/5*w**4 - 2/5*w**2 + 1/5*w**5 - 3/5*w.
(w - 1)*(w + 1)**4/5
Let b(d) be the first derivative of d**9/432 + d**8/336 - 3*d**7/280 - d**6/72 + d**5/60 + 2*d**3/3 - 1. Let f(t) be the third derivative of b(t). Factor f(r).
r*(r - 1)*(r + 1)**2*(7*r - 2)
Suppose 118/9*t**2 + 8/3*t**4 - 56/9*t + 8/9 - 94/9*t**3 = 0. What is t?
1/4, 2/3, 1, 2
Let l(n) be the first derivative of -3*n**5/40 + 9*n**4/32 - n**3/4 - 9. Factor l(m).
-3*m**2*(m - 2)*(m - 1)/8
Let y be 4/14 - (-76)/28. Let c be (-8)/(-6) - (0 - 0). Factor 0 + 2/3*p**y + c*p**2 + 2/3*p.
2*p*(p + 1)**2/3
Let k(a) = a**4 - 4*a**3 - 6*a**2 - 2*a + 1. Let r(m) = 4*m**4 - 12*m**3 - 18*m**2 - 5*m + 4. Let s(i) = 7*k(i) - 2*r(i). Determine p so that s(p) = 0.
-1
Factor 2/13*m**4 - 20/13*m**2 + 0 + 6/13*m**3 + 0*m.
2*m**2*(m - 2)*(m + 5)/13
Let o(a) be the first derivative of -a**5/35 - a**4/14 + a**3/21 + a**2/7 + 37. Factor o(f).
-f*(f - 1)*(f + 1)*(f + 2)/7
Let k(g) be the second derivative of -g**4/2 - 5*g**3/2 + 9*g**2/2 - 7*g. Suppose k(m) = 0. Calculate m.
-3, 1/2
Suppose -3*b = o - 3*o - 16, -3*b = -3*o - 21. Factor -h**4 + 9*h**b - 6*h**3 + 15*h + 3*h**3 + 6 - h**4 - h**4.
-3*(h - 2)*(h + 1)**3
Let u(s) = -6*s**4 - 9*s**3 - 3*s**2 + 3*s + 3. Let f(c) = c**5 + c**4 + c + 1. Let r(d) = -3*f(d) + u(d). Factor r(a).
-3*a**2*(a + 1)**3
Let n be -2 - (-213 + (2 - 3)). Let z = n - 1906/9. Factor -2/9*m**3 - z*m + 0 + 4/9*m**2.
-2*m*(m - 1)**2/9
Let t(p) = 25*p - 5. Let g(u) = u**2 + 25*u - 4. Let a(l) = 5*g(l) - 4*t(l). Factor a(r).
5*r*(r + 5)
Let b(k) be the second derivative of 0*k**4 - 2*k**2 - 1/60*k**5 + 0*k**3 + 0 + 3*k. Let m(d) be the first derivative of b(d). Find v, given that m(v) = 0.
0
Let t(l) = 2*l**3 + 9*l - 3*l**3 + 12 - l + 2*l**3 + 8*l**2. Let h be t(-7). Factor 0 + 0*r**2 - r**h + 1/3*r**4 + 0*r + 0*r**3.
-r**4*(3*r - 1)/3
Let m(o) be the second derivative of -o**6/165 - o**5/110 + o**4/66 + o**3/33 - 4*o. Determine i, given that m(i) = 0.
-1, 0, 1
Let g(b) = b**2. Let h(v) = -6*v**3 - 27*v**2 - 24*v - 8. Let k(q) = 5*g(q) + h(q). Suppose k(s) = 0. What is s?
-2, -1, -2/3
Let f(d) be the first derivative of -d**6/3 - 6*d**5 - 75*d**4/2 - 290*