ve of p**5/15 + p**4/3 + 2*p**3/3 + p**2. Let n(j) = -13*j**2 - 25*j - 12. Let i(a) = -7*h(a) - 2*n(a). Factor i(o).
-2*(o + 1)*(o + 2)
Let q be 441/2352*(-4)/(-3). Solve q*t**2 + 0 - 3/4*t = 0 for t.
0, 3
Suppose 2*z + 8 = 3*z. Let j(t) = t**3 - 9*t**2 + 9*t - 4. Let m be j(z). Factor d**m - 3*d**4 - d**4 - 3*d**2 + 6*d**3.
-3*d**2*(d - 1)**2
Let g be (-4)/30 - 2392/(-390). Let k be 1 + 3*(-5)/(-12). Factor -g*d + 9/4 - k*d**2.
-3*(d + 3)*(3*d - 1)/4
Let j(z) = -17*z**3 + 31*z**2 - 33*z. Let x(k) = -200*k**3 + 370*k**2 - 395*k. Let c(h) = -35*j(h) + 3*x(h). Suppose c(u) = 0. Calculate u.
0, 2, 3
Factor 3/5*a**3 - 49/5*a - 4/5*a**2 - 6.
(a - 5)*(a + 3)*(3*a + 2)/5
Let y be (28/49 - -2) + 3 + (-25)/7. Find k, given that 1/5*k**3 - 2/5*k**y + 2/5 - 1/5*k = 0.
-1, 1, 2
Suppose 4*q - 19 = -3*h, 2*h - 4 = -q + 7. Suppose -5*r + h + 15 = 0. Suppose 43*s**3 - 4*s - 40*s**3 + r*s = 0. Calculate s.
0
Let p = -69 - -134. Suppose 4*a - 17*a = -p. Suppose 2*v**3 + 2/7*v**2 + 8/7 + 2/7*v**a - 10/7*v**4 - 16/7*v = 0. What is v?
-1, 1, 2
Let k(d) be the second derivative of 1/3*d**3 - 1/60*d**4 + 0 - 5/2*d**2 + 18*d. Factor k(j).
-(j - 5)**2/5
Let b(k) be the second derivative of 2*k**6/105 - 3*k**5/35 + k**4/7 - 2*k**3/21 - 21*k. Let b(c) = 0. Calculate c.
0, 1
Suppose 15 = -z + 6*z. Find p such that -10*p**2 - 14*p**3 + 15*p**2 + 18*p**z + 15*p**2 + 16*p = 0.
-4, -1, 0
Let d(n) = n**3 - 2*n**2 + 2*n - 2. Let f be d(2). Factor -v**f + v + 2*v**3 - 3*v**3 + 3 - 2 + 0.
-(v - 1)*(v + 1)**2
Let p = 3839/4602 - 2/2301. Let v be ((-1)/(2/(-2)))/3. Factor -1/3 + p*q - v*q**2.
-(q - 2)*(2*q - 1)/6
Let b be 14/(-5 - 236/(-20)). Let k = -147/187 + b. Factor -6/11*o**3 - 10/11*o + k*o**2 + 2/11.
-2*(o - 1)**2*(3*o - 1)/11
Let a = -3881 + 3884. Determine t, given that 0 + 5/6*t**2 - 2/3*t**a - 1/6*t = 0.
0, 1/4, 1
Let d(l) = -l**3 + 6*l**2 + l - 17. Let c be d(5). Let g be (3 - c/5)*(-3)/(-2). Let -g*p - 1/5*p**3 + 3/5*p**2 + 1/5 = 0. Calculate p.
1
Let o(b) be the third derivative of -5*b**2 + 0 + 0*b + 1/120*b**5 + 1/480*b**6 + 0*b**3 - 1/32*b**4. Factor o(v).
v*(v - 1)*(v + 3)/4
Let v(u) be the second derivative of u**8/2520 + u**7/315 + u**6/180 - u**5/45 - u**4/9 + u**3/3 - 28*u. Let b(x) be the second derivative of v(x). Factor b(n).
2*(n - 1)*(n + 1)*(n + 2)**2/3
Let o = -190 - -19. Let x = o - -517/3. Suppose 217/6*i**4 - x*i**2 - 40/3*i + 49/6*i**5 + 128/3*i**3 + 8/3 = 0. Calculate i.
-2, -1, 2/7
Let h = -699 - -985. Let 13*j**2 + 592*j**2 + 3 - h*j + 17 + 66*j = 0. Calculate j.
2/11
Let f be -8 + 0 + 3 - (-35)/7. Factor -6/17*w**2 - 2/17*w + f - 6/17*w**3 - 2/17*w**4.
-2*w*(w + 1)**3/17
Let c be ((-18)/(-45))/(38/285)*2/2. Suppose 0 - 1/2*h**c + 0*h - h**2 + 1/2*h**4 = 0. What is h?
-1, 0, 2
Let c be ((-12)/972)/(6/(-36)) + 112/189. Solve 0 - 1/3*h**5 + 7/3*h**3 + c*h**4 + 0*h + 4/3*h**2 = 0.
-1, 0, 4
Let w(d) be the first derivative of -22*d**5/25 + 229*d**4/10 - 210*d**3 + 3479*d**2/5 + 1372*d/5 - 153. Factor w(f).
-2*(f - 7)**3*(11*f + 2)/5
Let h be 3/4*(0 + 4). Factor 36*p**2 + h*p**3 + 0*p + 0*p + 21*p**3 + 4*p**4.
4*p**2*(p + 3)**2
Factor -1/4*q**3 + 0*q - 5*q**2 + 0 + 1/4*q**4.
q**2*(q - 5)*(q + 4)/4
Let y(c) be the first derivative of -2/7*c**2 - 9 + 2/21*c**3 - 6/7*c. Solve y(t) = 0.
-1, 3
Let s(o) be the third derivative of -o**5/12 - 230*o**4/3 - 84640*o**3/3 - 680*o**2. Solve s(m) = 0.
-184
Factor -5*w**2 + w**5 - 10*w + w**4 - 3*w**3 + 6*w + 2*w.
w*(w - 2)*(w + 1)**3
Let o(i) = 5*i**3 - 41 - 4*i**2 + 44 - 4*i**3. Let u be o(4). What is y in u*y + 3*y**2 + 0*y + 2 + y**3 - 3 + 2 = 0?
-1
Let o(t) = -4*t**3 + 72*t**2 - 304*t + 396. Let v(g) = g**2 - g. Let a(k) = o(k) - 4*v(k). Determine l, given that a(l) = 0.
3, 11
Let n(j) be the third derivative of -j**5/30 + 29*j**4/48 + 2*j**3 + j**2 + 32*j. Factor n(z).
-(z - 8)*(4*z + 3)/2
Let j = 1927/9560 + -3/1912. Factor 6/5*g + 9/5 + j*g**2.
(g + 3)**2/5
Let i be 51/85 + 401/15. Let j = i - 136/5. Let -8/15*k - j*k**2 - 8/15 = 0. Calculate k.
-2
Let n(h) be the second derivative of -5*h**7/126 + 7*h**5/3 - 15*h**4/2 - 15*h**3/2 + 45*h**2 - 459*h. Suppose n(r) = 0. Calculate r.
-6, -1, 1, 3
Let w(f) be the second derivative of f**5/4 + 5*f**4/4 - 5*f**3/6 - 15*f**2/2 - 3*f - 20. Solve w(l) = 0.
-3, -1, 1
Let h = 17981 + -17980. Suppose -h - 10/3*n - 4*n**2 - 2*n**3 - 1/3*n**4 = 0. Calculate n.
-3, -1
Let r = -467/95 + 44/19. Let j = r - -49/15. Suppose j*o - 1/3 + 0*o**2 - 2/3*o**3 + 1/3*o**4 = 0. What is o?
-1, 1
Let t(x) be the first derivative of -1/15*x**3 - 2 + 0*x**4 - x**2 + 0*x + 1/150*x**5. Let h(g) be the second derivative of t(g). Factor h(n).
2*(n - 1)*(n + 1)/5
Let m(r) be the second derivative of 3*r**5/20 - r**4/2 - r**3/2 + 3*r**2 - 217*r. Factor m(f).
3*(f - 2)*(f - 1)*(f + 1)
Suppose -24*j - 5 = -25*j. Let n(y) be the second derivative of 0 + 1/48*y**4 - 1/8*y**2 - 6*y + 1/3*y**3 - 1/10*y**j. Factor n(r).
-(r - 1)*(r + 1)*(8*r - 1)/4
Let c be 3*(-3)/(9/(-2)). Factor 17*v + 10*v + 3*v**c + 37 + 11 - 3*v.
3*(v + 4)**2
Factor 7*z**2 + 3*z**3 + 24 - z**3 - 3*z**2 + 14*z**2 + 40*z.
2*(z + 1)*(z + 2)*(z + 6)
Let j be (-102)/969 - (-65)/76. Let 1/2 + j*o + 0*o**2 - 1/4*o**3 = 0. What is o?
-1, 2
Suppose -6*k + 10*k = 28. Let u(t) = -9*t**2 - 8*t - 1. Let r(q) = -4*q**2 - 4*q - 1. Let f(d) = k*r(d) - 3*u(d). Factor f(y).
-(y + 2)**2
Let p be 12/18*(-18)/(-32). Let i(v) be the third derivative of 0*v + 1/40*v**6 - p*v**4 + 11*v**2 + 1/10*v**5 + 0*v**3 + 0. Solve i(t) = 0 for t.
-3, 0, 1
Let y(g) be the second derivative of g**5/20 - 5*g**4/12 - 5*g**3/6 - 2*g. Let p be y(6). Factor 7*u**5 - 22*u**5 - p*u**4 + 12*u**5 - 3*u**3.
-3*u**3*(u + 1)**2
Let s(w) = -w**5 + w**4 + w. Let a = 77 - 85. Let m(x) = -12*x**5 - 8*x**4 - 24*x**3 - 16*x**2 + 4*x. Let d(q) = a*s(q) + m(q). Find k such that d(k) = 0.
-1, 0
Let h(l) = l**3 - 2*l**2. Suppose 0 = 4*g + 4*v - 12, 6*g - 4*v = g + 6. Let u(x) = 0*x**2 + 2*x**2 - 3*x**g. Let z(q) = -3*h(q) + 6*u(q). Factor z(t).
-3*t**3
Let x = -3/50 + 39/25. Let j = -779 + 3119/4. Solve 9/4*s + x + j*s**2 = 0 for s.
-2, -1
Let k(t) = -5*t**3 + t**2 + 11*t - 7. Let x(i) = -i**3 + i. Let g(c) = -k(c) + 3*x(c). Let y be g(1). Factor 1/3*w**3 + 1/3*w**2 + y - 2/3*w.
w*(w - 1)*(w + 2)/3
Let s = 2407 + -2405. Find q such that -1/2*q - 1/3*q**s + 1/3 = 0.
-2, 1/2
Determine j, given that -5/2*j + 5/4*j**4 + 5/2*j**3 - 5/4*j**2 + 0 = 0.
-2, -1, 0, 1
Let k(n) be the first derivative of -3*n**6 + 36*n**5/5 + 31*n**4/2 - 16*n**3/3 - 12*n**2 - 5. Let k(l) = 0. Calculate l.
-1, -2/3, 0, 2/3, 3
Let l = -222 - -156. Let z = l - -68. Factor 1/2*g - 1/4 - 1/4*g**z.
-(g - 1)**2/4
Let z = 8706/5 + -1738. Determine c, given that z*c - 4/5*c**2 - 12/5 = 0.
1, 3
Suppose 0*z - 3*y = -z + 21, 4*z + 5*y = 169. Let -8*m**4 - 429 + 203 - 40*m + 210 + z*m**2 - 6*m**5 + 34*m**3 = 0. Calculate m.
-2, -1/3, 1, 2
Let c(o) = -3*o**5 + 11*o**4 + 3*o**3 - 19*o**2 - 18*o - 2. Let f(i) = 7*i**5 - 23*i**4 - 6*i**3 + 35*i**2 + 36*i + 5. Let d(v) = 5*c(v) + 2*f(v). Factor d(t).
-t*(t - 9)*(t - 2)*(t + 1)**2
Let a = -49079/40 + 1227. Let s(v) be the third derivative of 1/20*v**5 - a*v**6 + 0*v**3 + 0*v**4 + 0 + 0*v - 6*v**2. Determine b, given that s(b) = 0.
0, 1
Factor 17*b**2 - b**5 + 9*b**3 - 5*b**5 + 3*b**5 - 11*b**2.
-3*b**2*(b - 2)*(b + 1)**2
Let o = -6 - 7. Let p = -10 - o. Factor 6*z**4 + 12*z**2 - 2*z + 2*z - 23*z**3 + 7*z**p - 2.
2*(z - 1)**3*(3*z + 1)
Let a(u) be the first derivative of -29 - 3*u - 23*u**2 - u**3 + 9*u**2 + 11*u**2. Factor a(w).
-3*(w + 1)**2
Let h(a) be the second derivative of -a**7/21 - a**6/15 + 2*a**5/5 + 2*a**4/3 - 59*a. Let h(t) = 0. Calculate t.
-2, -1, 0, 2
Factor -39/2*v**4 + 67/2*v**3 - 57/2*v**2 + 9/2*v**5 - 2 + 12*v.
(v - 1)**3*(3*v - 2)**2/2
Let t = -34 + 37. Suppose t*v + 4 = 5*v. Factor -4/7 + 2/7*w**v + 2/7*w.
2*(w - 1)*(w + 2)/7
Factor -3/4*f**2 + 6*f + 0.
-3*f*(f - 8)/4
Factor 11/4*h - 5/4 + 1/4*h**3 - 7/4*h**2.
(h - 5)*(h - 1)**2/4
Let d(j) be the first derivative of 36*j + 20 + 28/3*j**3 - j**4 - 30*j**2. Factor d(c).
-4*(c - 3)**2*(c - 1)
Suppose -28*v + 9 = 9. Factor 4/5*t**2 + v*t + 0 - 8/5*t**4 - 4/5*t**3.
-4*t**2*(t + 1)*(2*t - 1)/5
Let 108/7 + 6/7*j**3 - 24/7*j**2 - 18/7*j = 0. What is j?
-2, 3
Suppose 0 = -z - 5*g + 43, 5*z - 5*g = 3*z + 11. Suppose 0 