+ 1)/9
Let u = -146 - -128. Let f be (6/u)/(-1)*1. Factor 1/3*a + f*a**4 - 1/3*a**3 - 1/3*a**2 + 0.
a*(a - 1)**2*(a + 1)/3
Let j(p) = 2*p**5 - p**4 - p - 1. Let f(h) = h**5 - h**4 - h - 1. Suppose -1 + 6 = z. Let d(u) = z*j(u) - 5*f(u). Factor d(g).
5*g**5
Let f be -4*2/(-8)*3. Let y be f/(-2)*8/(-6). Determine q, given that q**3 + 8*q + 0*q + 5*q**2 - 8*q**2 - 4 - 2*q**y = 0.
1, 2
Let v(s) be the first derivative of 3*s**5/40 - 9*s**4/16 - 123. Let v(l) = 0. Calculate l.
0, 6
Let y = -948 + 85321/90. Let f(l) be the second derivative of y*l**5 + 1/27*l**4 - 2/9*l**2 - 1/27*l**3 + 0 - 5*l. Solve f(x) = 0 for x.
-2, -1, 1
Let z = -74 - -79. Find u such that -27*u**3 + 4*u**4 + 18*u**4 - 3*u**z - 4*u**4 = 0.
0, 3
Let -10/11*n**3 + 124/11*n + 48/11 + 6/11*n**2 = 0. Calculate n.
-3, -2/5, 4
Let u = 2145 + -17157/8. Factor -5/8*w - 1/8*w**4 + u*w**2 + 1/4 + 1/8*w**3.
-(w - 1)**3*(w + 2)/8
Let w = -9226 + 9226. Factor -1/7*r**3 - 1/7*r - 2/7*r**2 + w.
-r*(r + 1)**2/7
Factor 1/5*y**4 - 4/5*y**3 - 4/5*y + 1/5 + 6/5*y**2.
(y - 1)**4/5
Let f be (-5 - 58/(-12))/((-48)/1800). Factor -7/4*z**4 - 1 + 1/4*z**5 - f*z**2 + 19/4*z**3 + 4*z.
(z - 2)**2*(z - 1)**3/4
Suppose 2/5*r**4 + 0*r - 1/5*r**3 + 0 + 0*r**2 - 1/5*r**5 = 0. Calculate r.
0, 1
Let l(k) be the third derivative of k**6/280 + k**5/20 - k**4/4 - 24*k**3/7 + 2*k**2 - 18. Suppose l(h) = 0. What is h?
-8, -2, 3
Let o(c) = 14*c**2 - 21*c + 12. Let a(d) = 12*d**2 - 20*d + 12. Let k(q) = -5*a(q) + 4*o(q). Find u, given that k(u) = 0.
1, 3
Let w(t) be the first derivative of -3*t**5/5 + 3*t**4/2 - 14. Determine i so that w(i) = 0.
0, 2
Factor -44/3*i + 968/3 + 1/6*i**2.
(i - 44)**2/6
Find l, given that 7/2*l**3 - 9/2*l**2 - 9/8*l**4 + 1/8*l**5 + 2*l + 0 = 0.
0, 1, 2, 4
Let n = -564 - -7334/13. Let k(i) be the first derivative of -4 + 1/13*i**4 - n*i - 2/13*i**2 + 2/65*i**5 + 0*i**3. Let k(q) = 0. What is q?
-1, 1
Let p be (244/(-16) - -3)/((-1)/4). Factor 4*w**2 + 17*w + 15 - 4*w**5 + 23*w**3 + 1 - 4*w**4 - 3*w**3 - p*w.
-4*(w - 1)**3*(w + 2)**2
Let j = 20536 - 574925/28. Let n = -19/7 + j. Let 0 + 1/4*w**2 + n*w = 0. Calculate w.
-1, 0
Let 2*q**2 - 324*q + 6*q**2 - 3*q**2 - 113*q - 93*q - 535 = 0. Calculate q.
-1, 107
Let g(o) be the first derivative of 5*o**3/3 + 135*o**2/2 - 47. Determine s, given that g(s) = 0.
-27, 0
Suppose 0 = -40*w + 464 - 344. Factor 4/3*b + 5/3*b**w + 1/3*b**4 + 0 + 8/3*b**2.
b*(b + 1)*(b + 2)**2/3
Let f = 12 + -5. Suppose 0 = -g - 5 + f. What is j in 0*j + 0 - 1/5*j**3 + 1/5*j**5 - 1/5*j**4 + 1/5*j**g = 0?
-1, 0, 1
Suppose 2*w = 5*r - 10 - 11, 2*r - w - 9 = 0. Let x(k) be the first derivative of -1/2*k - 3/4*k**r + 11/8*k**2 - 1. Determine z, given that x(z) = 0.
2/9, 1
Let w(i) = 3*i**4 - 20*i**3 + 47*i**2 - 34*i + 4. Let x(l) = 21*l**4 - 141*l**3 + 330*l**2 - 237*l + 27. Let q(z) = 27*w(z) - 4*x(z). Let q(r) = 0. What is r?
0, 1, 2, 5
Determine q, given that 1/4*q + 1/4*q**2 + 0 = 0.
-1, 0
Let m(r) be the first derivative of r**6/60 + r**5/3 + 25*r**4/12 - 25*r**2/2 + 3. Let v(u) be the second derivative of m(u). Factor v(i).
2*i*(i + 5)**2
Let j(n) be the first derivative of -n**6/120 + n**5/80 + n**4/24 - 15*n + 4. Let w(p) be the first derivative of j(p). Factor w(l).
-l**2*(l - 2)*(l + 1)/4
Let f be 630/300 - 9*(-1)/(-6). Suppose -2*o = 2*o. Suppose o*h - f + 3/5*h**2 = 0. Calculate h.
-1, 1
Suppose 3*y - 5*z = 0, -3*z - z = 0. Let b(u) be the third derivative of y*u**3 + 1/360*u**5 - 2*u**2 + 1/72*u**4 + 0 + 0*u. Find j, given that b(j) = 0.
-2, 0
Factor -1/6*n**2 + 55/3*n - 3025/6.
-(n - 55)**2/6
Suppose 2*b - 3*b = -2*h + 7, -5*h + 25 = 0. Solve -6*p - 455 + 6*p**b + 3*p**2 + 455 - 3*p**4 = 0.
-1, 0, 1, 2
Let r(k) be the third derivative of -k**7/315 - 17*k**6/360 + 17*k**5/60 - 43*k**4/72 + 11*k**3/18 + 10*k**2 - 6. Solve r(f) = 0.
-11, 1/2, 1
Factor 13*z**2 + 14*z**2 - 30*z**2 - 5*z**3 + 2*z**3.
-3*z**2*(z + 1)
Let g = 54 - 32. Let y(s) = -s**2 + s. Let k(q) = -9*q**2 + q + 12. Let p(m) = g*y(m) - 2*k(m). Factor p(n).
-4*(n - 3)*(n - 2)
Suppose -2*v = l - 6*l - 10, 3*v + 8 = -4*l. Suppose n + v*n + 4*n = 0. Factor 4/3*w**3 - 2/3*w**5 + n*w**2 - 2/3*w + 0 + 0*w**4.
-2*w*(w - 1)**2*(w + 1)**2/3
Let w = 6395 - 6392. What is d in -24/11 - 32/11*d - 14/11*d**2 - 2/11*d**w = 0?
-3, -2
Factor -261*u**2 + 524*u**2 - 48 - 260*u**2.
3*(u - 4)*(u + 4)
Let z = 9 + 11. Let h = z - 18. Factor -a**2 - 2*a - h*a**2 + a**2.
-2*a*(a + 1)
Let o(z) = 7*z**2 - 15*z + 19. Let r(g) = 2*g - 14. Let a be r(10). Let v(u) = 2*u**2 - 4*u + 5. Let d(t) = a*o(t) - 22*v(t). Solve d(x) = 0 for x.
-2, 1
Let d(y) be the third derivative of y**5/120 - 53*y**4/8 + 8427*y**3/4 - 491*y**2 - 2. Solve d(h) = 0 for h.
159
Determine q so that -10 - 1/2*q**3 + 39/2*q - 9*q**2 = 0.
-20, 1
Let p be ((-4)/(-3))/1*(-30)/(-20). Factor 4*r - 28*r**2 + 3 + 30*r**p - 1.
2*(r + 1)**2
Let w(x) = 1. Let r be 2/(-1)*1/(-4)*-6. Let h(z) = -z**2 - 7*z + 11. Let o(n) = r*w(n) + h(n). Solve o(f) = 0.
-8, 1
Let x(u) be the third derivative of -u**8/784 + 2*u**7/735 + u**6/420 - u**5/105 + u**4/168 + 9*u**2 - 1. What is p in x(p) = 0?
-1, 0, 1/3, 1
Let t = -21 + 28. Factor -30*p - p**2 + 18 + t + 6*p**2.
5*(p - 5)*(p - 1)
Let r = -4360/3 + 1464. Let a(w) be the second derivative of -1/15*w**6 - 16*w**2 - 7*w + 4/5*w**5 - 4*w**4 + r*w**3 + 0. Factor a(l).
-2*(l - 2)**4
Let t be (5 - 1) + 292/20 + -18. Let f = -1888/5 - -380. Factor -6/5*c + f*c**3 - t - 12/5*c**4 + 9/5*c**2.
-3*(c - 1)**2*(2*c + 1)**2/5
Factor -862*a**2 - 5*a**3 + 872*a**2 + 0*a**3 + 40*a.
-5*a*(a - 4)*(a + 2)
Let i be 4*(-3)/78 - (-837)/117. Let h(o) be the third derivative of 0*o**4 - 1/15*o**5 - 3/20*o**6 + 0*o**3 - 4/105*o**i + 0 - 13*o**2 + 0*o. Factor h(n).
-2*n**2*(n + 2)*(4*n + 1)
Factor 228*a - 4*a**5 + 140*a + 140*a - 112*a**4 + 133*a**3 + 355*a**3 - 752*a**2 + 19 - 147.
-4*(a - 1)**4*(a + 32)
Suppose 87 - 215 = -2*w. Suppose -2*d - w = -3*d. Factor d + t - t**3 - 64.
-t*(t - 1)*(t + 1)
Let o(x) be the first derivative of -x**7/42 + 8*x**6/45 - 13*x**5/30 + x**4/3 + 8*x**3/3 - 35. Let t(p) be the third derivative of o(p). Factor t(k).
-4*(k - 2)*(k - 1)*(5*k - 1)
Let n(x) = -2*x**4 - 6*x**3 + 3*x**2 + 6*x - 1. Let d = 2 - 3. Let w(o) = -o**4 + 1. Let f be (-2)/(1 + 1) + 0. Let a(j) = d*n(j) + f*w(j). Factor a(c).
3*c*(c - 1)*(c + 1)*(c + 2)
Let g = 87 - 85. Let t(q) be the third derivative of -2/9*q**3 + 0*q + 0 - 1/90*q**5 - 5*q**g + 1/12*q**4. Determine z so that t(z) = 0.
1, 2
Let r(g) be the second derivative of -14/15*g**3 - 1/20*g**4 - 18*g + 0 + 2*g**2. Factor r(d).
-(d + 10)*(3*d - 2)/5
Suppose 30*z + 6 = 6. Let d(o) be the first derivative of 8 + 2/21*o**3 + 0*o**2 - 2/21*o**6 + 1/7*o**4 + z*o - 2/35*o**5. Find q, given that d(q) = 0.
-1, -1/2, 0, 1
Let y(o) = 19*o**2 - 10. Suppose 0 = 2*p + 2*r - 4*r, r = -2*p - 12. Let b(j) = -9*j**2 + 5. Let v(i) = p*y(i) - 9*b(i). Factor v(z).
5*(z - 1)*(z + 1)
Let i = 1509859/2679999 - 8/22521. Let c = i + 1/119. What is y in 0 - c*y + 1/7*y**2 = 0?
0, 4
Let q(y) = -y**2 - 3*y - 6. Let i(a) = 4*a**2 + 8*a + 18. Suppose 3*o + 5 = 11. Let g(s) = o*i(s) + 7*q(s). Factor g(j).
(j - 6)*(j + 1)
Solve -60*i**2 + 229*i**3 - 119*i**3 - 58*i - 124*i**3 - 12 = 0.
-3, -1, -2/7
Let z(f) = f**3 - 225*f**2 - 5621*f - 46877. Let o(r) = 3*r**3 - 225*r**2 - 5619*r - 46878. Let g(k) = -2*o(k) + 3*z(k). Determine l, given that g(l) = 0.
-25
Let y(i) be the second derivative of i**3/6 + 3*i**2 + 13*i. Let u be y(-6). Factor 3/2*s - 3/4*s**3 + u + 3/4*s**2.
-3*s*(s - 2)*(s + 1)/4
Let o(w) be the first derivative of 18*w**5/5 + 12*w**4 - 34*w**3/3 - 20*w**2 + 24*w - 86. Let o(c) = 0. Calculate c.
-3, -1, 2/3
Let q(u) be the second derivative of u**5/110 + 7*u**4/66 + 10*u**3/33 - 60*u. Factor q(y).
2*y*(y + 2)*(y + 5)/11
Let x(z) be the second derivative of -4563*z**4 - 156*z**3 - 2*z**2 + 170*z. Determine r, given that x(r) = 0.
-1/117
Let l be (-8 - -12)/(15 + -8). Let q be (-4)/(-8)*6/1. Suppose -12/7*a**2 + 12/7*a + 4/7*a**q - l = 0. What is a?
1
Let j(q) = 12*q + 38. Let k be j(-3). Let p(g) be the first derivative of -3 - 4/5*g - 2/5*g**k - 1/15*g**3. Factor p(a).
-(a + 2)**2/5
Let m = -8351 + 8356. Let 0*f**3 + 5/4*f**m + 0 - 5/2*f**4 + 5/2*f**2 - 5/4*f = 0. Calculate f.
-1, 0, 1
Suppose 60 = -3*a + 90. Find z, giv