-m**3. Let w(q) = -12*b(q) - 2*t(q). Factor w(s).
-4*s*(s - 4)**2
Suppose -6 = -55*b + 53*b. Factor -1 + 2*q**3 + b*q - 2 + 6*q**2 - 5*q**3 - 3.
-3*(q - 2)*(q - 1)*(q + 1)
Let l be -20 + 23 - (-1 + 845/11). Let s = 73 + l. Factor s*g**3 + 8/11 - 6/11*g**2 + 0*g.
2*(g - 2)**2*(g + 1)/11
Suppose -5*d + 2*x = 270 - 282, -4 = 4*x. Determine g so that -44/3*g + 8/3 + 70/3*g**d - 25/3*g**3 = 0.
2/5, 2
Suppose -4*k + 10 + 2 = 0. Let d(m) = -12*m**2 - 7 + 3*m**2 + k*m - 3*m. Let p(o) = -4*o**2 - 3. Let g(q) = -3*d(q) + 7*p(q). Let g(v) = 0. What is v?
0
Let v = 17719/5 - 53059/15. Determine b, given that 28/15*b - 2/15*b**2 - v = 0.
7
Suppose 8*y - 70 = -46. Let s(j) be the third derivative of 1/84*j**4 + 6*j**2 + 0*j**y + 1/1176*j**8 + 0*j**7 + 0 + 0*j**5 - 1/210*j**6 + 0*j. Factor s(o).
2*o*(o - 1)**2*(o + 1)**2/7
Let h(g) be the second derivative of -g**9/756 - 2*g**8/105 - 3*g**7/35 + 9*g**5/10 + 4*g**3/3 + g. Let t(k) be the second derivative of h(k). Factor t(f).
-4*f*(f - 1)*(f + 3)**3
Suppose v + 6 + 33 = 0. Let u be (-82)/(-26) - (-6)/v. Factor 16*g**3 - 4 + 3*g + 2*g**4 + u*g + 2*g**2 - 22*g**3.
2*(g - 2)*(g - 1)**2*(g + 1)
Let d(w) = -4*w**2 + 16*w - 17. Let z(r) = -6*r**2 + 24*r - 25. Let h(x) = -7*d(x) + 5*z(x). Factor h(s).
-2*(s - 3)*(s - 1)
Let t = 229/38 - 105/19. Factor -t*q**2 + 3/2 + q.
-(q - 3)*(q + 1)/2
Let g(k) be the third derivative of k**6/30 + 2*k**5/15 + k**2 - 27. Factor g(n).
4*n**2*(n + 2)
Let k(q) be the second derivative of 38*q**4/3 + 26*q**3 + 2*q**2 + 11*q - 5. Factor k(f).
4*(f + 1)*(38*f + 1)
Let m be ((-3)/(168/16))/(12/(-126)). What is s in -m + 45/2*s**2 - 17/2*s = 0?
-2/9, 3/5
Let x(k) be the third derivative of -k**6/360 - 2*k**5/15 + 13*k**4/18 + 11*k**2 + 7*k. Find z such that x(z) = 0.
-26, 0, 2
Let f be (-3 + 1)*18/(-4). Let b = -27 - -31. Factor 3*j**5 - 3*j + 0*j + 3*j**b + 6*j**2 - f*j**4.
3*j*(j - 1)**3*(j + 1)
Let z(i) be the second derivative of -i**6/60 - 9*i**5/40 - 5*i**4/6 - i**3 - 159*i. Find o, given that z(o) = 0.
-6, -2, -1, 0
Let o(u) be the first derivative of -3*u**4/20 + 21*u**3/5 - 441*u**2/10 + 1029*u/5 - 39. Factor o(l).
-3*(l - 7)**3/5
Suppose -2*l = 5*s + 73, 6*l - l = s - 7. Let c = 17 + s. Determine v so that -16/5*v**3 - 4/5*v**2 + 0 - 1/5*v**c + 0*v + 21/5*v**5 = 0.
-2/3, -2/7, 0, 1
Let l(p) be the third derivative of p**6/40 - p**5/4 + p**4/4 + 4*p**3 + 2*p**2 + 1. Factor l(m).
3*(m - 4)*(m - 2)*(m + 1)
Let j(q) be the third derivative of -q**9/120960 + q**8/53760 + 13*q**4/12 - 17*q**2. Let p(t) be the second derivative of j(t). Suppose p(v) = 0. What is v?
0, 1
Let v = 104556/11 - 9468. Solve v*a - 72/11 + 340/11*a**3 - 698/11*a**2 - 50/11*a**4 = 0.
2/5, 3
Let i(w) = 4*w**2 + 4*w - 173. Let q(a) = -2*a**2 - 2*a + 86. Let n(u) = -2*i(u) - 5*q(u). Factor n(g).
2*(g - 6)*(g + 7)
Let y be (0 - 2)*(5 - 6). Suppose 14 = y*p + 2. Factor p*h**3 + 12*h**4 - 6*h**2 + 3*h**3 - 15*h**4.
-3*h**2*(h - 2)*(h - 1)
Let j = 504 + -4029/8. Let z(w) be the third derivative of -j*w**4 + w**2 + 0*w - 1/20*w**5 + 0 + 0*w**3. Factor z(s).
-3*s*(s + 3)
Let t(m) be the first derivative of -8 - 2*m**3 + 1/4*m**4 + 6*m + 6*m**2. Let d(h) be the first derivative of t(h). Factor d(a).
3*(a - 2)**2
Let p(k) be the second derivative of -k**6/30 - 11*k**5/10 - 121*k**4/12 - k - 7. Factor p(m).
-m**2*(m + 11)**2
Let a(w) = 101*w**2 - 3634*w - 70. Let z be a(36). Suppose 5/3*d + z - 1/3*d**4 - 5/3*d**2 - 5/3*d**3 = 0. What is d?
-3, -2, -1, 1
Let r be (-13*(0 - 18/(-30)))/((-11)/22). Factor r*m**2 + 18/5*m**3 + 16*m + 24/5.
2*(m + 3)*(3*m + 2)**2/5
Solve 7/9*d**2 - 1/9*d**4 + 0*d**3 - 2/3*d + 0 = 0.
-3, 0, 1, 2
Suppose -55*d + 220 = 110. Find v such that -134/3*v**d + 146/3*v**3 + 14/3*v**5 + 56/3*v - 8/3 - 74/3*v**4 = 0.
2/7, 1, 2
Suppose -a + 2 = -2*w - 11, -5*a = w - 21. Suppose 5*g**a + 150 - 10*g**2 + 34*g - 5*g**4 - 9*g - 30*g**3 - 135 = 0. Calculate g.
-1, 1, 3
Let f(a) be the first derivative of -5*a**6/6 + 65*a**4/4 - 20*a**3 + 36. Solve f(o) = 0.
-4, 0, 1, 3
Let n(g) be the second derivative of g**6/30 + 4*g**5/15 - 5*g**4/6 - g**2 - 24*g. Let m(q) be the first derivative of n(q). Suppose m(w) = 0. What is w?
-5, 0, 1
Suppose 0 = 3*t - 55 - 35. Factor -10*m + 5*m**2 + 17 - t + 13.
5*m*(m - 2)
Let s(m) be the first derivative of -4*m**6/15 - 11*m**5/10 - 3*m**4/2 - m**3/3 + m**2 + 6*m - 1. Let z(w) be the first derivative of s(w). Factor z(i).
-2*(i + 1)**3*(4*i - 1)
Let i(u) = 108*u**3 - 72*u**2 + 12*u + 17. Let w(h) = -3 + 10*h**2 - 4*h**3 + 2*h**2 - 14*h**3 - 4*h + 2*h. Let j(t) = -6*i(t) - 34*w(t). Solve j(g) = 0.
0, 1/3
Let v = -2/577 - -1745/4039. Let w be (-3458)/(-490) + (-3)/15. Factor 24/7*i - w - v*i**2.
-3*(i - 4)**2/7
Let z(s) be the first derivative of 4/3*s + 32 + 7/3*s**2 + 10/9*s**3. Solve z(v) = 0 for v.
-1, -2/5
Let a be 11 - (13 + -7) - 3. Let 0*u**a + 0 - 3/8*u**4 - 3/8*u**3 + 0*u = 0. What is u?
-1, 0
Let x(d) be the first derivative of 4*d**5/5 + 2*d**4 - 4*d**3 - 16*d**2 - 16*d - 5. Factor x(j).
4*(j - 2)*(j + 1)**2*(j + 2)
Let q(p) = -3*p**4 - 5*p**3 + 17*p**2 - 15*p. Let a(m) = -m**4 + m**3 - 3*m. Let b(w) = -2*a(w) + q(w). What is j in b(j) = 0?
-9, 0, 1
Factor 2*v**5 + 5819*v**4 + 32*v**2 - 5819*v**4 - 24*v**3.
2*v**2*(v - 2)**2*(v + 4)
Let s(m) be the first derivative of 3*m**5/10 + 9*m**4/2 + 11*m**3 - 63*m**2 + 147*m/2 + 425. Factor s(t).
3*(t - 1)**2*(t + 7)**2/2
Let s(p) = p**3 - 4*p**2 + 2*p + 3. Let k = 167 - 164. Let j be s(k). Factor 0 + 0*u**2 + 1/3*u**3 + j*u + 1/3*u**4.
u**3*(u + 1)/3
Let x(o) be the first derivative of o**5/150 - o**4/12 + 2*o**3/5 - o**2/2 + 2*o + 3. Let t(j) be the second derivative of x(j). Find v such that t(v) = 0.
2, 3
Let g = -12843/7 - -1837. Factor -2*o**2 + 8/7 + 10/7*o**3 - g*o.
2*(o - 2)*(o + 1)*(5*o - 2)/7
Factor 51/8*i**2 - 111/8*i + 3/8*i**3 + 57/8.
3*(i - 1)**2*(i + 19)/8
Determine i, given that 92/5*i + 94/5 - 2/5*i**2 = 0.
-1, 47
Let b(f) be the second derivative of 20*f + 5*f**2 + 0 + 25/6*f**3 + 5/6*f**4. Suppose b(a) = 0. Calculate a.
-2, -1/2
What is f in 8/9*f**2 + 0 - 64/9*f + 2/9*f**3 = 0?
-8, 0, 4
Let k(i) be the third derivative of i**8/9240 + i**7/2310 - i**6/1980 - i**5/330 - i**3/2 + 13*i**2. Let z(x) be the first derivative of k(x). Factor z(a).
2*a*(a - 1)*(a + 1)*(a + 2)/11
Let u be (4/(-10))/((-5)/11750*-10). Let q = u + 97. Factor 9*a**2 + 1/2*a**4 - 7/2*a**q - 10*a + 4.
(a - 2)**3*(a - 1)/2
Factor -45/7*l**2 - 3*l**3 - 3/7*l**4 + 0 - 27/7*l.
-3*l*(l + 1)*(l + 3)**2/7
Let g(a) = 4*a - 2. Let h(d) = 13*d - 5. Let m(y) = -11*g(y) + 4*h(y). Let i be m(0). Factor 0 + 0*p**i - 3/5*p**3 + 3/5*p.
-3*p*(p - 1)*(p + 1)/5
Let b(j) = j**2 + 39*j - 65. Let r be b(-41). Suppose 2736 = 33*p - r*p. Factor -p*x + 6 + 3249/2*x**2 - 20577/4*x**3.
-3*(19*x - 2)**3/4
Let s(n) be the second derivative of n**5/30 - 13*n**4/132 + 2*n**3/33 - 9*n**2/2 - 16*n. Let q(j) be the first derivative of s(j). Factor q(d).
2*(d - 1)*(11*d - 2)/11
Let c(v) be the first derivative of v**4/2 - 28*v**3/3 + 25*v**2 - 24*v + 104. Find b, given that c(b) = 0.
1, 12
Let a(f) = -f**2 - 21*f + 46. Let r be a(-23). Let s be r/(2/(-3*(-10)/15)). Factor 3/2*d**2 - 1/2*d**3 + s*d - 2.
-(d - 2)**2*(d + 1)/2
Let o(w) be the third derivative of -1/90*w**5 + 7*w**2 - 5/36*w**4 - 4/9*w**3 + 0*w + 0. Factor o(x).
-2*(x + 1)*(x + 4)/3
Let p(k) be the third derivative of -k**5/270 + 11*k**4/36 - 32*k**3/27 - 4*k**2 + 30. Suppose p(z) = 0. Calculate z.
1, 32
Let t = 221 + -216. Let i = -5 + 7. What is l in l**4 - l**2 + i*l**4 + t*l**2 - 7*l**4 = 0?
-1, 0, 1
Let v be (-1)/(-2) - (1 + 6/(-4)). Let l be ((-20)/15)/v - 2 - -4. Determine u, given that 4/3*u + 2/3 + l*u**2 = 0.
-1
Factor -4*i**2 - 1170*i**5 + 4*i**3 + 4*i**4 + 2*i + 1166*i**5 - 2*i.
-4*i**2*(i - 1)**2*(i + 1)
Let s be (4/24)/1*(-10)/(-1575). Let v(j) be the third derivative of -1/270*j**5 + 0*j + 0 + 0*j**3 + s*j**7 - 1/108*j**4 + 1/540*j**6 + 3*j**2. Factor v(r).
2*r*(r - 1)*(r + 1)**2/9
Let n be -2*(-1 + -2)/6. Let w(t) = -3*t**3 + 5*t**2 - 4*t - 2. Let k(p) = p**3 - p**2 + p + 1. Let a(q) = n*w(q) + 2*k(q). Determine y, given that a(y) = 0.
0, 1, 2
Let r(q) be the second derivative of 32*q**6/15 + 104*q**5/5 + 193*q**4/3 + 52*q**3 + 18*q**2 - 109*q. Solve r(u) = 0.
-3, -1/4
Let d(r) be the third 