 - 1)
Factor 25 - 80/3*a + 5/3*a**2.
5*(a - 15)*(a - 1)/3
Let z be 2/(6*6/54)*(5 + -4). Let 8/5*g + 6/5*g**4 - 4/5*g**2 - 8/5*g**z - 2/5 = 0. Calculate g.
-1, 1/3, 1
Suppose 2*p = -u + 1, -3 = -8*p + 5*p - u. Let q = 146 + -144. Factor -3*v - v**q - 4*v**p + 2*v**2.
-3*v*(v + 1)
Let h be (-2 - 1) + (13 - 5). Suppose 16*v**h + 17*v + 20*v**4 + 2*v - 2*v**2 - 44*v**3 + 9*v - 26*v**2 + 8 = 0. Calculate v.
-2, -1, -1/4, 1
Suppose 0 = -2*w + 6*w + 40. Let j be 55/w + 5 - (-22)/12. Factor -6*b**2 - j + 22/3*b.
-2*(b - 1)*(9*b - 2)/3
Let b(l) be the first derivative of 0*l - 1/3*l**4 + 0*l**2 - 1 - 5/3*l**3 + 1/180*l**6 + 0*l**5. Let t(y) be the third derivative of b(y). Factor t(n).
2*(n - 2)*(n + 2)
Let t(v) be the second derivative of -v**4/48 - 3*v**3/8 - v**2 - 133*v. Factor t(q).
-(q + 1)*(q + 8)/4
Let j be (-164)/656 + 6/8. Suppose 3/2*x + 2*x**2 - j = 0. Calculate x.
-1, 1/4
Let q be -12*(-4)/6 - (1 - 1). Let m be (13 - q) + -1 + 2. Determine o so that -75/2*o**2 - 30*o - m = 0.
-2/5
Let i(b) be the third derivative of b**5/160 + 5*b**4/32 - 3*b**3/2 + 740*b**2. Solve i(z) = 0.
-12, 2
Let s(x) = 60*x**3 - 120*x**2 + 130*x - 35. Let p(v) = -5*v**3 + 10*v**2 - 11*v + 3. Suppose -10 + 220 = 6*t. Let f(b) = t*p(b) + 3*s(b). Factor f(l).
5*l*(l - 1)**2
Let m be (-2)/5 + (11 - (-99)/(-15)). Let g(y) be the second derivative of 1/12*y**m + 0*y**5 + 0*y**2 + 0*y**3 + 0 - 1/30*y**6 - 2*y. Let g(a) = 0. What is a?
-1, 0, 1
Solve -39/2*v**2 - 45/2 - 3/2*v**3 + 87/2*v = 0 for v.
-15, 1
Let -6 - 3*w**2 - 43 - 18 + 16 + 125*w - 31 = 0. What is w?
2/3, 41
Let m(w) = -12*w**3 + 12*w**2 + 27*w + 3. Let o(k) = -7*k + 9 + 14 - 3*k**2 + 3*k**3 - 24. Let j(a) = 4*m(a) + 15*o(a). Let j(q) = 0. What is q?
-1, 1
Let u(j) = 2*j**2 - 22*j + 47. Let w be u(8). Let a be 3 + (w*2)/(80/104). What is y in -a*y - 3/5 + 1/5*y**2 = 0?
-1, 3
Let o = 27974/9 + -3108. Factor -4/9*a**2 + 2/3*a - 2/9 - 4/9*a**3 - o*a**5 + 2/3*a**4.
-2*(a - 1)**4*(a + 1)/9
Let s(z) be the first derivative of z**5/70 - z**4/7 + 5*z**3/21 + 26*z - 36. Let p(l) be the first derivative of s(l). Let p(w) = 0. Calculate w.
0, 1, 5
Suppose 5*p - 29 = -3*k - 14, -3*k + 15 = 3*p. Factor 2/25*n**3 + p + 98/25*n - 28/25*n**2.
2*n*(n - 7)**2/25
Let w(v) = -v**2 + 12*v + 2. Let n be w(12). Suppose 0 = -4*y + m + 11, 0 = -3*y + 5*m - 17 + 4. Find c, given that 2*c**y - 16*c - c**4 + 16*c - n*c**5 = 0.
0, 1/2
Factor -6407 - 3*i**3 + 6*i**3 - 3*i + 6383 + 24*i**2.
3*(i - 1)*(i + 1)*(i + 8)
Let u(s) be the second derivative of -s**5/190 + 23*s**4/57 - 572*s**3/57 + 968*s**2/19 + 155*s. Suppose u(h) = 0. What is h?
2, 22
Let q = -29005/8 - -3626. Factor 1/4 + 9/8*d + q*d**2 - 7/4*d**3.
-(d - 1)*(2*d + 1)*(7*d + 2)/8
Solve 36*x**2 - 351/2*x - 3/2*x**3 - 507 = 0 for x.
-2, 13
Let b(p) be the second derivative of -7*p**6/18 + 13*p**5/6 - 15*p**4/4 + 10*p**3/9 + 10*p**2/3 + 163*p. Suppose b(h) = 0. What is h?
-2/7, 1, 2
Let g(z) be the first derivative of -z**4/4 - 13*z**3/3 - z**2/2 - 11*z - 7. Let i be g(-13). Factor 0 - 2/13*u**i + 0*u.
-2*u**2/13
Factor 112*q**4 + 21*q**3 - 15*q**3 - 109*q**4.
3*q**3*(q + 2)
Let o = 17 - 14. Let l be o/((-195)/10) - 4/(-26). Factor 0*w + 1/4*w**3 + l - 1/4*w**2.
w**2*(w - 1)/4
Let z(n) be the second derivative of n**6/720 - n**4/144 + 19*n**2/2 + 10*n. Let o(b) be the first derivative of z(b). Factor o(w).
w*(w - 1)*(w + 1)/6
Let z(q) be the third derivative of q**8/1008 - 2*q**7/105 + q**6/10 - 8*q**5/45 - 4*q**2 - 15. Let z(b) = 0. Calculate b.
0, 2, 8
Let s(n) = -3*n**2 + 15*n - 12. Suppose 106 - 61 = 3*j. Suppose r = -x + 6, -2*x - x + 14 = -r. Let k(y) = -y + 1. Let p(i) = j*k(i) + r*s(i). Factor p(z).
-3*(z - 1)*(z + 1)
Let h(s) be the third derivative of -s**8/2240 - s**7/840 - s**4/4 - 10*s**2. Let c(g) be the second derivative of h(g). Factor c(b).
-3*b**2*(b + 1)
Let z(j) = 11*j**2 - 130*j - 21. Let i be z(12). Let t(o) be the second derivative of 1/45*o**6 + 6*o + 0*o**4 + 0 + 0*o**2 + 1/30*o**5 + 0*o**i. Factor t(x).
2*x**3*(x + 1)/3
Let q = 11791 + -35363/3. Factor -14/3*j - 4/3*j**2 - 2 + 2/3*j**5 + 4*j**3 + q*j**4.
2*(j - 1)*(j + 1)**3*(j + 3)/3
Suppose -3*v = -5*m + 9, 5*m + 2 = v + 15. Suppose h - 15 = -w + 4*w, v*h - 2*w - 10 = 0. Factor 0*u + h - 1/4*u**4 + 0*u**2 + 1/8*u**5 + 1/8*u**3.
u**3*(u - 1)**2/8
Let o(v) be the second derivative of v**5/10 + 11*v**4/12 + 5*v**3/3 - 4*v**2 + 3*v + 35. Suppose o(x) = 0. What is x?
-4, -2, 1/2
Let d = 979/1183 + 5/169. Let z = -816 + 818. Factor 9*p**z + d - 33/7*p - 51/7*p**3 + 15/7*p**4.
3*(p - 1)**3*(5*p - 2)/7
Let l(n) be the third derivative of n**9/30240 - n**7/2520 - n**5/10 + 22*n**2. Let s(v) be the third derivative of l(v). Factor s(m).
2*m*(m - 1)*(m + 1)
Let b = -91 - -93. Determine i so that -7457*i + 7*i**3 + 7457*i + 2*i**b = 0.
-2/7, 0
Let b(k) be the third derivative of k**6/540 + 17*k**5/135 + 289*k**4/108 + 285*k**2. Factor b(c).
2*c*(c + 17)**2/9
Let c(f) = -20*f - 1656. Let v be c(-83). Let s = -343 + 1723/5. Let -2*u**2 + 4/5*u + s*u**3 - 2/5*u**v + 0 = 0. Calculate u.
0, 1, 2
Let h(n) be the second derivative of 0*n**2 + 0*n**5 + 0 + 1/84*n**4 + 5*n - n**3 - 1/1260*n**6. Let l(p) be the second derivative of h(p). Factor l(s).
-2*(s - 1)*(s + 1)/7
Factor 13*r**3 + 123*r + 11*r**3 + 60 - 42*r**3 - 5*r + 56*r**2 + 16*r**3.
-2*(r - 30)*(r + 1)**2
Factor -9*s - 3/4*s**2 - 27.
-3*(s + 6)**2/4
Factor 0*j**4 + 4/7*j**3 - 2/7*j**5 + 0*j**2 - 2/7*j + 0.
-2*j*(j - 1)**2*(j + 1)**2/7
Let u(q) be the second derivative of 1/3*q**4 - 4/3*q**3 + 40*q + 0*q**2 - 2. Suppose u(x) = 0. What is x?
0, 2
Let q(h) be the second derivative of -5*h**7/84 - 3*h**6/4 - 15*h**5/4 - 115*h**4/12 - 55*h**3/4 - 45*h**2/4 + 419*h. Suppose q(w) = 0. What is w?
-3, -1
Let w(k) be the second derivative of k**8/43680 + k**7/8190 + k**6/4680 - k**4/6 - 9*k. Let b(x) be the third derivative of w(x). Factor b(f).
2*f*(f + 1)**2/13
Let b(k) = -5*k - 3. Let h be b(-6). Let m = 40 - h. What is r in 10*r - 9*r**2 - m*r + 3 + 9*r = 0?
-1/3, 1
Suppose -8*i + 20 = 2*i. Solve 0*t + 108*t**i - 107*t**2 + t = 0.
-1, 0
Suppose -11*i + 16*i - 15 = 0. Let a be (-2)/(-3)*9 - i. Factor 9*m**2 + 2*m**3 - 10*m**3 - 3 + 12*m**a + 2*m**3.
3*(m + 1)**2*(2*m - 1)
Let q(z) be the third derivative of -z**6/2880 + z**5/960 + z**4/96 + 19*z**3/6 - 6*z**2. Let w(k) be the first derivative of q(k). Factor w(g).
-(g - 2)*(g + 1)/8
Let c = 9641/57774 + -2/9629. Factor -c*x**3 + 2/3*x + 0 + 0*x**2.
-x*(x - 2)*(x + 2)/6
Let s(j) be the third derivative of j**9/15120 - j**7/630 + 3*j**4/2 - 8*j**2. Let i(x) be the second derivative of s(x). Factor i(d).
d**2*(d - 2)*(d + 2)
Let l(s) be the third derivative of -s**8/1344 - s**7/105 - 17*s**6/480 - s**5/24 + s**2 - 4. Suppose l(x) = 0. What is x?
-5, -2, -1, 0
Let t be -5 - -2*(-6 + 12). Suppose 3*i = -3*j + 15, 2*j + 3*i = 2*i + t. Factor -3/4 + 0*m + 3/4*m**j.
3*(m - 1)*(m + 1)/4
Let i = 11 - 6. Let k be (8/14)/(i + 66/(-14)). Factor 0 + k*r**4 + 2*r**3 + 2/3*r**5 + 0*r + 2/3*r**2.
2*r**2*(r + 1)**3/3
Let t(b) be the first derivative of -b**7/840 - b**6/240 + b**5/240 + b**4/48 + 13*b**2/2 - 4. Let a(j) be the second derivative of t(j). Factor a(f).
-f*(f - 1)*(f + 1)*(f + 2)/4
Find n such that 1155/2*n**3 + 755/2*n**2 + 10 - 190*n = 0.
-1, 2/33, 2/7
Let a be (-155)/(-93)*(-4)/(-5). Let u(s) be the second derivative of s**2 + a*s**3 + 0 - 5/6*s**4 - 7*s. Factor u(h).
-2*(h - 1)*(5*h + 1)
Let m(q) be the second derivative of q**6/45 + q**5/3 + 4*q**4/3 + 22*q**3/9 + 7*q**2/3 - q + 177. Factor m(x).
2*(x + 1)**3*(x + 7)/3
Let k(d) be the second derivative of 0 + 0*d**2 - 3/4*d**5 - 1/10*d**6 - 46*d - d**4 + 0*d**3. Factor k(a).
-3*a**2*(a + 1)*(a + 4)
Suppose -1/4*v**2 - 63/4 - 4*v = 0. What is v?
-9, -7
Let o(n) = -164*n + 8. Let c be o(-4). Solve -664 - 8*v**2 + 4*v**3 + c + 4*v = 0 for v.
0, 1
Let d(c) = 8*c**3 + 14*c**2 - 11*c + 11. Let m(f) = -3*f**3 - 5*f**2 + 4*f - 4. Let z be (-1 - 1) + (-6)/3. Let h(j) = z*d(j) - 11*m(j). Factor h(p).
p**2*(p - 1)
Let i be ((-260)/(-25))/(-13) + (-8)/(-10). Let f(k) be the second derivative of 1/20*k**5 - 1/2*k**3 + i*k**4 - k + 0 - k**2. Solve f(t) = 0.
-1, 2
Let g be 76/19 - 117/30. Let v(n) be the third derivative of g*n**5 - 1/3*n**4 + 0 + 0*n + 1/30*n**6 - 1/105*n**7 - 4/3*