ve of -g**5/90 + g**4/27 - g**3/27 - 8*g. Factor a(w).
-2*w*(w - 1)**2/9
Factor 2/3*b**2 - 10/9*b + 4/9.
2*(b - 1)*(3*b - 2)/9
Suppose 0 + 2/7*l**2 + 0*l = 0. Calculate l.
0
Let r(v) be the third derivative of 5*v**8/1344 + v**7/120 + v**6/240 + 6*v**2. Solve r(h) = 0.
-1, -2/5, 0
Let o(q) = -q**2 + 8*q + 12. Let z(a) = -9*a. Let i be z(-1). Let u be o(i). Factor 0*w**2 - 4*w**2 + 2*w - 4*w**u + 6*w**3.
2*w*(w - 1)**2
Let u = -8109/8 + 770179/760. Let z = u - -12/19. Factor 12/5*l**2 - z*l**3 + 16/5 - 24/5*l.
-2*(l - 2)**3/5
Suppose -3*r - p - 2 - 7 = 0, r + 5*p - 11 = 0. Let n be 10/4 - (-2)/r. Find w such that -16*w**2 - 8*w**3 + 3 + 1 + n*w + 0*w + 18*w**3 = 0.
-2/5, 1
Suppose -4*g = 2 - 22. Let t be (-6)/(-36) + g/42. Factor -t*b**3 + 2/7*b + 0 + 0*b**2.
-2*b*(b - 1)*(b + 1)/7
Let t(y) be the second derivative of 9*y**7/14 - 3*y**6/10 - 6*y**5/5 + y**4 - 8*y. Factor t(c).
3*c**2*(c + 1)*(3*c - 2)**2
Let k(l) be the second derivative of l**7/14 - 3*l**5/20 - 3*l. Find y, given that k(y) = 0.
-1, 0, 1
Factor -1/3*h**2 + 0 + 2/3*h.
-h*(h - 2)/3
Let -18/13*z - 8/13 - 4/13*z**2 = 0. What is z?
-4, -1/2
Let s(a) = 2*a + 9. Let u be s(-3). Factor 1/2*f**u + 3/2*f**2 + 1/2 + 3/2*f.
(f + 1)**3/2
Let w = -2/2111 + 67566/14777. Factor -w - 2/7*v**2 - 16/7*v.
-2*(v + 4)**2/7
Let t(y) be the third derivative of y**5/100 - 7*y**4/10 + 98*y**3/5 + y**2 + 21*y. Factor t(n).
3*(n - 14)**2/5
Suppose 10 = 6*o - o. Factor 0*b - 1/3*b**4 + 0 + 0*b**o - 1/3*b**3.
-b**3*(b + 1)/3
Let q = 89 + -86. Factor 2/7*v**2 + 2/7*v**q + 0*v + 0.
2*v**2*(v + 1)/7
Let g(w) be the first derivative of -3*w**4/4 + 3*w**2/2 - 1. Find q such that g(q) = 0.
-1, 0, 1
Factor -4/9 + 0*q**2 + 2/3*q - 2/9*q**3.
-2*(q - 1)**2*(q + 2)/9
Factor -1/2*y**2 + 0 + y.
-y*(y - 2)/2
Let p(k) be the third derivative of -k**7/2520 + k**6/360 - k**4/8 + k**2. Let g(l) be the second derivative of p(l). Factor g(f).
-f*(f - 2)
Factor -4*z + 14/5*z**3 - 3/5*z**2 + 4/5 + z**4.
(z - 1)*(z + 2)**2*(5*z - 1)/5
Let b(f) be the first derivative of -2/9*f**3 + 0*f**2 + 1/12*f**4 + 0*f + 2. Find m such that b(m) = 0.
0, 2
Let r(y) be the third derivative of y**8/560 + y**7/70 + 3*y**6/100 - y**5/50 - 7*y**4/40 - 3*y**3/10 - 18*y**2. Factor r(n).
3*(n - 1)*(n + 1)**3*(n + 3)/5
Let v(t) be the second derivative of -t + 0 - 1/21*t**4 - 4/7*t**3 + 9/7*t**2 + 1/105*t**6 + 2/35*t**5. What is z in v(z) = 0?
-3, 1
Find v such that -1/2*v**3 + 1/2*v**5 - v**4 + 0 + v**2 + 0*v = 0.
-1, 0, 1, 2
Let p(m) be the first derivative of 4*m**5/45 + m**4/9 - 8*m**3/9 - 8*m**2/9 + 32*m/9 + 58. Factor p(w).
4*(w - 2)*(w - 1)*(w + 2)**2/9
Let z(w) be the first derivative of w**4/12 + w**3/9 - w**2/6 - w/3 + 26. What is j in z(j) = 0?
-1, 1
Let r(a) = a**3 + 4*a**2 - 7*a - 28. Let y be r(-4). Find h such that 3/5*h**4 + y*h**3 - 3/5*h**2 + 0*h + 0 = 0.
-1, 0, 1
Let f = -2/165 - -674/1155. Determine j, given that -10/7*j**3 - 2/7*j + f - 16/7*j**2 = 0.
-1, 2/5
Let l(u) be the second derivative of u**4/12 + u**3 - 13*u. Factor l(t).
t*(t + 6)
Let z(j) be the first derivative of 0*j + 2/25*j**5 - 3 + 0*j**3 - 3/10*j**4 + 4/5*j**2. Factor z(x).
2*x*(x - 2)**2*(x + 1)/5
Let j = 159/592 + -3/37. Let y(t) be the second derivative of -3*t + j*t**5 + 7/8*t**3 - 1/40*t**6 - 3/4*t**2 + 0 - 9/16*t**4. Let y(x) = 0. Calculate x.
1, 2
Factor 1/5*i**4 + 3/5*i**2 + 3/5*i**3 + 1/5*i + 0.
i*(i + 1)**3/5
Suppose -50 = 6*a - 62. Factor 4/7*h**a - 8/7 - 4/7*h.
4*(h - 2)*(h + 1)/7
Let g(n) = 2*n**4 + 54*n**3 - 138*n**2 - 6*n. Let d(q) = q**4 + q**3 + q**2 - q. Let i(y) = -6*d(y) + g(y). Determine j so that i(j) = 0.
0, 6
Let a(m) be the third derivative of 5*m**8/2688 - 17*m**7/1680 - 19*m**6/960 + 5*m**5/96 + 7*m**4/96 - m**3/6 + 5*m**2. Solve a(d) = 0.
-1, 2/5, 1, 4
Let c be 2*(-9)/(-18)*4/6. Factor -c*v + 4/9 + 2/9*v**2.
2*(v - 2)*(v - 1)/9
Factor 2/15*s**3 - 2/5*s**2 - 8/15*s + 0.
2*s*(s - 4)*(s + 1)/15
Factor 2/9*m + 10/9*m**3 - 16/9*m**2 + 4/9.
2*(m - 1)**2*(5*m + 2)/9
Let i(u) be the second derivative of u**4/18 - 5*u**3/9 - 6*u + 1. Factor i(k).
2*k*(k - 5)/3
Factor -6 + 52*t + 36*t**3 - 2 - 65*t**2 - 15*t**2.
4*(t - 1)**2*(9*t - 2)
Let z(a) = 5*a**3. Let v(g) = -g**4 - 11*g**3 + g**2. Let j(h) = 3*v(h) + 5*z(h). Factor j(d).
-d**2*(d + 3)*(3*d - 1)
Suppose 8*p + 12 = 4*p. Let y(d) = d**3 + 3*d**2 + 3. Let s be y(p). Determine i, given that s*i**4 + 2*i**3 + i - 4*i + 0*i**4 + i**3 - 3*i**2 = 0.
-1, 0, 1
Let r be (-2)/3 - 14*(-3)/9. Let a(n) be the second derivative of 0*n**3 + 2*n + 0 - 1/42*n**r + 0*n**2. Factor a(p).
-2*p**2/7
Suppose 3*o - 5*o = -4*k - 4, 2*o - k = 1. Suppose 2*r = -o*r. Determine g so that 0 + g**2 + r*g + 1/2*g**3 = 0.
-2, 0
Let s(j) = -j**2 + 1. Let w(p) be the second derivative of -3*p**5/4 + 7*p**4/12 + p**3 + p**2 + 5*p. Let g(a) = -2*s(a) + w(a). Factor g(q).
-3*q*(q - 1)*(5*q + 2)
Let a(c) be the third derivative of 8*c**7/735 + 2*c**6/105 - c**5/15 + c**4/21 + 16*c**2. Suppose a(r) = 0. What is r?
-2, 0, 1/2
Let r(m) be the second derivative of 3*m**6/10 - 11*m**5/20 + m**4/6 + 2*m. Determine i, given that r(i) = 0.
0, 2/9, 1
Solve 1/5*t**3 + 1/5*t + 4/5*t**2 - 6/5 = 0.
-3, -2, 1
What is v in -14/5*v - 6*v**2 - 18/5*v**3 - 2/5 = 0?
-1, -1/3
Let g = 3 - 0. Factor -2*a + 6*a**g + 3*a**5 - 7*a - 6*a**4 - 3*a**4 + 6*a**2 + 3.
3*(a - 1)**4*(a + 1)
Suppose 0 = m - 3*m - m. Solve m - 2/5*i + 4/5*i**2 - 2/5*i**3 = 0 for i.
0, 1
Factor -n - 3*n**4 + n**3 + 4*n**4 + 16*n**2 - 17*n**2.
n*(n - 1)*(n + 1)**2
Let a(n) = n**2 - 3*n - 2. Let g be a(4). Factor 0*c**2 + 3*c**2 - c**g.
2*c**2
Let f(s) = -4*s**2 - 7*s + 1. Let p(i) = -5*i**2 - 8*i + 1. Let z(w) = 6*f(w) - 5*p(w). Let x be z(1). Factor x - 1/2*v - 1/4*v**2.
-v*(v + 2)/4
Let t(k) be the first derivative of -3 - 2/3*k**3 + 2/5*k**5 + 0*k**4 + 0*k + 0*k**2. Solve t(g) = 0.
-1, 0, 1
Let m = 1806652 + -1429061520/791. Let g = m - -2/113. Solve 0 + 4/7*n + g*n**2 = 0.
-2, 0
Let w be (-13 - -9)/((-10)/(-1 + 2)). Determine q so that w*q**2 + 4/5*q + 2/5 = 0.
-1
Let c = -101 + 105. Let z(p) be the second derivative of -1/66*p**c - 2*p + 0 + 0*p**3 + 0*p**2. Factor z(u).
-2*u**2/11
Let c(n) be the second derivative of -3*n**5/10 + 2*n**4/3 + 13*n**3/3 + 6*n**2 + 14*n. Factor c(d).
-2*(d - 3)*(d + 1)*(3*d + 2)
Let r(q) be the first derivative of -2*q**6/3 - 4*q**5/5 + q**4 + 4*q**3/3 - 17. Let r(t) = 0. Calculate t.
-1, 0, 1
Let t(i) be the third derivative of -2/525*i**7 + 0*i**6 + 1/75*i**5 + 0*i**3 + 9*i**2 + 0*i + 0*i**4 + 0. Factor t(u).
-4*u**2*(u - 1)*(u + 1)/5
Let n = 0 - -6. What is v in 2*v**2 - 3*v + n*v + 3*v + 4 + 0*v = 0?
-2, -1
Let r(i) be the second derivative of i**5/150 - i**4/30 - i**3/5 + i**2 + i. Let v(f) be the first derivative of r(f). Factor v(t).
2*(t - 3)*(t + 1)/5
Let z(o) be the third derivative of -o**6/600 - o**5/100 - 2*o**2 + 24*o. Factor z(m).
-m**2*(m + 3)/5
Let s(n) be the third derivative of n**8/672 + n**7/210 - n**6/120 - n**5/30 + n**4/48 + n**3/6 - 3*n**2. Suppose s(q) = 0. Calculate q.
-2, -1, 1
Suppose -26 - 16 = -3*r. Let z be (-16)/(-4) - 48/r. Find j, given that -10/7*j - 10/7*j**2 + 6/7*j**4 + 10/7*j**3 + z = 0.
-2, -1, 1/3, 1
Suppose -3*l = -2*l + 3*i - 5, -4*l - 5*i = -13. Suppose l*n = -2*n + 48. Suppose 14*o**2 - 8/3 - n*o + 245/3*o**3 = 0. Calculate o.
-2/7, 2/5
Suppose 0 = -5*t + 4*b + 10, 5*t - 4*b - 10 = -7*b. What is p in t*p + 75*p**3 + 7*p + 7 - 27*p**4 - 63*p**2 - 1 = 0?
-2/9, 1
Let w(t) be the second derivative of -3/40*t**5 - t**2 - t**3 + 0 + 6*t - 11/24*t**4. Suppose w(q) = 0. Calculate q.
-2, -1, -2/3
Suppose 4 = q - 1. Let g(d) be the third derivative of 1/24*d**3 - 1/240*d**q + 0*d**4 + 2*d**2 + 0 + 0*d. Suppose g(u) = 0. What is u?
-1, 1
Factor 0*p + 3/2*p**3 - 1/2*p**4 + 2*p**2 + 0.
-p**2*(p - 4)*(p + 1)/2
Let o = -75 + 527/7. Suppose -3*y = 2*r - y + 8, 3*r = -5*y - 20. Find v, given that 2/7*v + r + 4/7*v**2 + 0*v**3 - 4/7*v**4 - o*v**5 = 0.
-1, 0, 1
Let m(z) be the first derivative of 2*z**6/3 + 4*z**5/5 - 3*z**4 - 4*z**3/3 + 4*z**2 + 7. What is b in m(b) = 0?
-2, -1, 0, 1
Let v = 1 - -3. Suppose 2*m + v = q - 3*q, -2*q + 31 = -5*m. Let -q*z - 9*z**2 + z - z + 5*z = 0. What is z?
0, 2/9
Let i(s) be the first derivative of 2/15*s**3 - 1 + 4/5*s + 3/5*s**2. Factor i(a).
2*(a + 1)*(a + 2)/5
Let h be ((-12)/2)