 1)**3/5
Suppose -3*b = -2*b. Let o be 0 - (-2 - (2 - b)). Let -9*v**4 + 6*v**o - v**3 - 10*v**5 - 11*v**4 - 3*v**3 = 0. What is v?
-1, -2/5, 0
Let q be ((-16)/(-24))/((-4)/12). Let g be (-3)/(-54) + 1*q/(-12). Find b such that g + 1/9*b - 1/9*b**3 - 2/9*b**2 = 0.
-2, -1, 1
Let g(x) = 4*x + 16. Let t be g(-4). Let p(b) be the second derivative of t - 4*b + 0*b**3 + 1/60*b**5 - 1/36*b**4 + 0*b**2. Factor p(q).
q**2*(q - 1)/3
Let a(q) be the third derivative of q**8/616 + 2*q**7/1155 - 23*q**6/330 + 14*q**5/55 - 53*q**4/132 + 10*q**3/33 - 124*q**2. Determine u, given that a(u) = 0.
-5, 1/3, 1, 2
Let y(b) be the third derivative of b**9/3780 + b**8/1680 - b**4/8 - 8*b**2. Let l(i) be the second derivative of y(i). Factor l(s).
4*s**3*(s + 1)
Let p(r) = -r**5 - r**4 - r**3 - r - 1. Let j(n) = -12*n**5 - 20*n**4 - 18*n**3 - 10*n - 10. Let i(o) = 2*j(o) - 20*p(o). Suppose i(m) = 0. Calculate m.
-4, -1, 0
Let p(n) be the first derivative of n**6/720 + n**5/180 - n**4/144 - n**3/18 - 9*n**2/2 - 7. Let a(z) be the second derivative of p(z). Factor a(j).
(j - 1)*(j + 1)*(j + 2)/6
Let a(s) = -s**3 - 5*s**2 + 14*s. Let j be a(-7). Let n(h) be the first derivative of 4/3*h + h**2 - 1/6*h**4 + j*h**3 - 3. Determine d, given that n(d) = 0.
-1, 2
Let n(w) be the first derivative of w**5/4 - 5*w**3/2 + 5*w**2 + 33*w + 25. Let a(i) be the first derivative of n(i). Determine j so that a(j) = 0.
-2, 1
Let q be (-1)/(144/(-32) + 3). Suppose 4/3 + q*b**2 - 2*b**4 + 14/3*b - 14/3*b**3 = 0. What is b?
-2, -1, -1/3, 1
Suppose -b - 24 = -5*d - 1, b = -2*d + 12. Factor -4/3*g**b + g + 1/3*g**3 + 0.
g*(g - 3)*(g - 1)/3
Solve 1/6*c**3 - 2/3*c - 1/6*c**4 + 0 + 2/3*c**2 = 0 for c.
-2, 0, 1, 2
Let u(q) be the second derivative of q**5/240 - q**4/48 - q**3/8 - 21*q**2/2 + 12*q. Let z(s) be the first derivative of u(s). Factor z(p).
(p - 3)*(p + 1)/4
Let o = 296/9 - 2063/63. Let x(v) be the first derivative of 8 + 4/35*v**5 + 0*v + o*v**2 + 0*v**4 - 4/21*v**3 - 1/21*v**6. Factor x(f).
-2*f*(f - 1)**3*(f + 1)/7
Let w(f) be the second derivative of f**8/2016 - f**6/144 + f**5/72 + 2*f**3/3 + 25*f. Let m(x) be the second derivative of w(x). Determine p so that m(p) = 0.
-2, 0, 1
Suppose -7*o + 21 = -21. Factor -o*t + 11*t + 16*t**2 - 15*t**2.
t*(t + 5)
Let z = -8 - -9. Let q be z/(-3) - 5/(-9). Factor 0 + 4/9*y**3 - q*y**4 - 4/9*y + 2/9*y**2.
-2*y*(y - 2)*(y - 1)*(y + 1)/9
Let k(t) be the first derivative of t + 0*t**2 - 3/5*t**5 + 8 - 1/2*t**3 - 5/4*t**4. Let n(g) be the first derivative of k(g). Factor n(a).
-3*a*(a + 1)*(4*a + 1)
Let i(w) = -w**3 + 15*w**2 - 38*w + 26. Let z be i(12). Let s(x) be the first derivative of 6 + 1/3*x**3 - 1/2*x**z + 0*x. Factor s(t).
t*(t - 1)
Let s be 0 - (1/((-2)/16))/1. Let v(o) = -o**2 + 10*o - 14. Let x be v(s). Factor -x*l + 2 + 1/2*l**2.
(l - 2)**2/2
Let i(x) be the first derivative of 6*x**5/25 - 39*x**4/20 + 6*x**3 - 42*x**2/5 + 24*x/5 + 110. Factor i(u).
3*(u - 2)**3*(2*u - 1)/5
Let t be 23 + (4 - 7) + -6. Let q be ((-22)/8 - -2)*-4. Factor -14*o + o**4 + t*o - o**q.
o**3*(o - 1)
Let r(a) be the first derivative of 2*a**6/3 - 36*a**5/5 + 26*a**4 - 24*a**3 - 54*a**2 + 108*a + 69. What is t in r(t) = 0?
-1, 1, 3
Let y(n) = -2*n**4 - n**3 - n - 1. Let h(s) = -3*s**5 - 30*s**4 - 12*s**3 + 6*s**2 - 9*s - 12. Let m(k) = h(k) - 12*y(k). Factor m(d).
-3*d*(d - 1)*(d + 1)**3
Suppose 0 = 3*h + 2*h + 3*g - 37, 4*g = 16. Suppose 0 = -o - h + 11. Find q such that -2*q**2 + o*q**2 - 3*q**2 = 0.
0
Let x(b) be the second derivative of 4/27*b**4 + 1/18*b**5 - 4/27*b**3 + 8*b + 0 + 0*b**2. Factor x(q).
2*q*(q + 2)*(5*q - 2)/9
Let d = 14 + -12. Determine k so that -k**5 + 23*k**3 + 10*k**d - 10*k**4 - 4*k**5 - 18*k**3 = 0.
-2, -1, 0, 1
Let x(m) be the third derivative of -3/20*m**5 + 0*m + 0 + 2/3*m**3 + 2/3*m**4 - 11*m**2. Find l, given that x(l) = 0.
-2/9, 2
Let w(b) be the third derivative of 0 + 1/7*b**3 + 4*b**2 + 1/210*b**5 + 0*b + 1/21*b**4. Let w(g) = 0. Calculate g.
-3, -1
Let v(o) be the second derivative of -5*o**4/12 + 25*o**3/3 - 45*o**2/2 - 43*o. Factor v(w).
-5*(w - 9)*(w - 1)
Let w = -10 - -39. What is m in 17 - w - 30*m - 25*m**2 + 7 = 0?
-1, -1/5
Suppose -17*o + 0 = -119. Suppose -3*f = 2*y - 3 - o, -2*f = y - 6. Factor -2/5*a**f - 3/5*a**5 + 0*a - 7/5*a**3 - 8/5*a**4 + 0.
-a**2*(a + 1)**2*(3*a + 2)/5
Let x(k) be the third derivative of -k**5/510 + 5*k**4/204 - 4*k**2 + 5*k. Factor x(h).
-2*h*(h - 5)/17
Let x(u) be the third derivative of 1/2*u**3 + 0 + 0*u**4 - 20*u**2 + 0*u - 1/20*u**5. Factor x(f).
-3*(f - 1)*(f + 1)
Let n = -53 - -56. Factor -m**3 - 6*m**3 + 2*m**3 + 2*m**3 - n*m**4.
-3*m**3*(m + 1)
Determine p, given that -28968*p**2 - 14/5*p**4 + 0 - 2852/5*p**3 + 41616/5*p = 0.
-102, 0, 2/7
Let n = -69 + 357/5. Let 3/5*h**3 + 12/5*h**2 + 0 + n*h = 0. Calculate h.
-2, 0
Suppose -6*m + m + 25 = 0. Let i = -1528 - -1528. Suppose -o**2 + 0*o - 10 + 6*o**2 + i*o + m*o = 0. Calculate o.
-2, 1
Let v(m) = 8*m**2 - 4*m + 2. Let c = -148 + 154. Let j(t) be the third derivative of t**5/60 - t**2. Let q(r) = c*j(r) - v(r). Factor q(g).
-2*(g - 1)**2
Solve 2/3*s**5 + 322/3*s + 188/3*s**3 - 34/3*s**4 - 98/3 - 380/3*s**2 = 0.
1, 7
Let b(t) be the second derivative of t**9/756 - t**8/140 + t**7/105 + 13*t**3/3 + 3*t. Let r(s) be the second derivative of b(s). Factor r(x).
4*x**3*(x - 2)*(x - 1)
Factor -220/7*b + 0 + 2/7*b**2.
2*b*(b - 110)/7
Let t(q) be the second derivative of -2/5*q**3 + 6/5*q**2 - 20*q + 1/20*q**4 + 0. Factor t(d).
3*(d - 2)**2/5
Let d(f) be the first derivative of -f**7/735 + f**5/105 - f**3/21 + 7*f**2/2 + 21. Let g(r) be the second derivative of d(r). Factor g(k).
-2*(k - 1)**2*(k + 1)**2/7
Let b(p) be the first derivative of p**8/210 - p**7/70 + p**5/30 - 14*p**3/3 + 11. Let m(t) be the third derivative of b(t). Suppose m(n) = 0. What is n?
-1/2, 0, 1
Let r(f) be the second derivative of 0*f**2 - 1/18*f**3 + 0 - 1/20*f**5 - 30*f - 1/9*f**4. Solve r(t) = 0 for t.
-1, -1/3, 0
Let p = -21591/151 + 143. Let x = 155/302 - p. What is n in 3/2*n**2 + 3/2*n + 1/2*n**3 + x = 0?
-1
Factor 0 - 1/2*n**3 + 1/2*n**4 + 0*n - n**2.
n**2*(n - 2)*(n + 1)/2
Let o(z) = -6*z**2 - 5*z + 5. Let h(j) = -8*j + 6*j - 12*j**2 - 9*j + 17 - 6. Let p(l) = 6*h(l) - 10*o(l). Factor p(r).
-4*(r + 2)*(3*r - 2)
Factor 21/4*f**2 - 3/4*f**3 + 15 + 21*f.
-3*(f - 10)*(f + 1)*(f + 2)/4
Let b(y) = 9*y + 3. Let v be b(2). Factor v + 3*z - 3*z**2 + 6*z**2 - 27.
3*(z - 1)*(z + 2)
Let j be (-183)/(-9) - (-2)/(-6). Let x = j + -18. Factor q - q**x - 3 - 7*q - 6.
-(q + 3)**2
Let o(r) be the third derivative of -r**8/504 - r**7/315 + 2*r**6/45 + 2*r**5/15 + 4*r**2 - 11. Factor o(b).
-2*b**2*(b - 3)*(b + 2)**2/3
Let v(q) = 2*q**3 - 35*q**2 - 7*q - 198. Let o be v(18). Find x such that -4/3*x**2 + o*x + 7/3*x**4 + 2/3*x**5 + 0 - 5/3*x**3 = 0.
-4, -1/2, 0, 1
Suppose 2*a + 9 = a + 13. Determine j so that -2*j**3 + 0 + 0*j + 1/4*j**a + j**2 + 3/4*j**5 = 0.
-2, 0, 2/3, 1
Let u(y) be the second derivative of -y**5/30 + 2*y**4/9 + 4*y**3/3 + 141*y. Factor u(b).
-2*b*(b - 6)*(b + 2)/3
Let b be 67/13 - (-235)/(-47). Factor 0 - 4/13*h**2 + b*h**3 + 0*h + 2/13*h**4.
2*h**2*(h - 1)*(h + 2)/13
Suppose -3*m - m = 0, 0 = -2*v - m + 14. Suppose -c = 2*c - 12. Factor v + 12*y + 1 + 0*y + c + 3*y**2.
3*(y + 2)**2
Let t(h) = -h**2 - 7*h - 3. Let l be t(-6). Suppose 2*d - 28 = -5*r, -4*r + 3*d - l = -5*r. Factor -3*v**2 - 5 + r*v + v**2 + 0*v**2 + 1.
-2*(v - 2)*(v - 1)
Let g(z) = z**2 - 118*z + 885. Let k be g(8). Let v(x) be the first derivative of -k - 3/4*x**2 + 1/4*x**3 + 3/4*x. Factor v(o).
3*(o - 1)**2/4
Let w(m) be the third derivative of m**5/105 - 23*m**4/7 + 274*m**3/21 - 2*m**2 + 54*m. Let w(h) = 0. Calculate h.
1, 137
Let p(g) = -2*g**3 - g**2 + 2*g - 1. Let u(b) = 4*b**4 - 92*b**3 - 582*b**2 - 1204*b - 838. Let f(d) = 6*p(d) - u(d). Determine t so that f(t) = 0.
-2, 26
Let p(u) be the second derivative of 2*u - 1/110*u**5 + 1/22*u**4 + 0 + 0*u**2 - 2/33*u**3. Factor p(o).
-2*o*(o - 2)*(o - 1)/11
Let s = -28 - -31. Factor 6*y + 10*y**3 - y**2 - 13*y**s + 7*y**2 + 3*y.
-3*y*(y - 3)*(y + 1)
Let k = -36 - -14. Let y be ((-36)/63)/(k/14*2). Factor -2/11*w + 2/11*w**3 - 2/11*w**2 + 0 + y*w**4.
2*w*(w - 1)*(w + 1)**2/11
Let c(a) = -a**3 - 18*a**2 - 84*a - 25. Let v be c(-9). Find 