= -7*t**3 - 17*t**2 + 55*t - 31. Let f(g) = -g**3 - 3*g**2 + 9*g - 5. Let i(h) = q*o(h) + 39*f(h). Factor i(v).
3*(v - 3)*(v - 1)**2
Let s(d) be the second derivative of d**2 + 48*d + 0 - 1/60*d**4 + 3/10*d**3. Factor s(k).
-(k - 10)*(k + 1)/5
Suppose 376/9*a - 2/9*a**2 - 17672/9 = 0. Calculate a.
94
Let v(m) be the second derivative of 4/25*m**5 + 1/15*m**6 + 1/30*m**4 - 16*m + 0 + 0*m**2 - 2/15*m**3. Factor v(o).
2*o*(o + 1)**2*(5*o - 2)/5
Let n = -170 + 174. Let j(u) be the first derivative of n - 1/6*u**3 - 2*u - u**2. Let j(r) = 0. What is r?
-2
Let z(j) be the third derivative of 0*j**4 + 4/15*j**3 + 0 - 1/50*j**5 - 12*j**2 + 1/300*j**6 + 0*j. Factor z(b).
2*(b - 2)**2*(b + 1)/5
Let t(h) = -4*h**5 - 6*h**4 + 22*h**3 + 12*h**2 + 6*h. Let a(z) = -z**5 + z**4 + z**3 + 2*z**2 + z. Let b(n) = 6*a(n) - t(n). Factor b(j).
-2*j**3*(j - 4)*(j - 2)
Suppose -7/4*h + 1/2*h**2 + 1 + 1/4*h**3 = 0. What is h?
-4, 1
Let p = -11400 + 2063406/181. Let f = 284/2353 + p. Find g, given that -2/13*g + f*g**2 + 0 = 0.
0, 1
Let m(t) be the second derivative of t**4/12 + t**3/6 - t**2/2 + 2*t. Let l = 23 + -24. Let p(u) = -2*u**2 - 2*u - 1. Let v(b) = l*p(b) - 5*m(b). Factor v(r).
-3*(r - 1)*(r + 2)
Let m be (-40)/15 - -4 - (-4)/6. Let y be m*(4 + -7)*1/(-2). Factor -1/5*p**4 - 1/5*p**y + 0 + 0*p + 2/5*p**2.
-p**2*(p - 1)*(p + 2)/5
Suppose 1355*u + 1377*u + 78 = 2771*u. Let q = 29 + -13. Solve 16/5 - q*j + 20*j**u = 0 for j.
2/5
Let g be 20/6*24/10. Solve -3*k**2 + 4*k + 0 - 2 + g - k = 0.
-1, 2
Suppose -4*k - y = -16, 0*k + 5 = -k + 2*y. Factor -2*j**3 - 12*j + 4*j**3 + 9*j**2 + 4 - 3*j**4 + 4*j**k - 16.
-3*(j - 2)**2*(j + 1)**2
Let w be (5/14)/(-5)*412/(-309). Let -2/21*o + w*o**3 + 8/21 - 8/21*o**2 = 0. Calculate o.
-1, 1, 4
Suppose 4*b + 7 = z + 11*b, b - 1 = 4*z. Let a(j) be the third derivative of -1/5*j**4 + 0*j - 16/75*j**6 + z + 1/15*j**3 - 4*j**2 + 8/25*j**5. Factor a(c).
-2*(4*c - 1)**3/5
Solve 36*f**2 - 8*f**3 + 4*f**4 + 8 + 4*f**3 - 16*f**3 + 0*f**3 - 28*f = 0.
1, 2
Suppose 16/9*b**3 + 6*b - 8/9 + 26/3*b**2 = 0. Calculate b.
-4, -1, 1/8
Suppose r + 4 = 7. Factor -67*u**r - 9*u - 2 + 70*u**3 - 4.
3*(u - 2)*(u + 1)**2
Let z(r) = 6*r - 6. Let j be z(26). Find i such that 36*i**2 - 4*i**3 - 8*i**2 + 20 + j*i - 194*i = 0.
1, 5
Let c(x) be the first derivative of -32/3*x**3 - 1/15*x**5 + 0*x + 2 + 4/3*x**4 + 4*x**2. Let w(q) be the second derivative of c(q). What is r in w(r) = 0?
4
Let n(a) be the third derivative of 1/4*a**4 + 1/60*a**6 - 1/3*a**3 + 0*a - 11*a**2 + 0 - 1/10*a**5. Find g, given that n(g) = 0.
1
Let i(k) be the third derivative of -7*k**5/60 + k**4/8 - k**3/6 - 13*k**2. Let w(q) = -3*q**2 + q. Let p(g) = 2*i(g) - 5*w(g). Suppose p(y) = 0. Calculate y.
-2, 1
Let p(c) be the second derivative of -c**7/42 - 7*c**6/15 - 69*c**5/20 - 35*c**4/3 - 50*c**3/3 + 86*c + 2. What is d in p(d) = 0?
-5, -2, 0
Let r(l) be the first derivative of -l + 1 + l**2 - 1/3*l**3. Factor r(a).
-(a - 1)**2
Let o(t) be the third derivative of t**5/360 + t**4/72 - 2*t**3/9 - 34*t**2. Let o(u) = 0. What is u?
-4, 2
Let m(h) = 2*h**2 + 3*h - 1. Let d be m(1). Let x be (3/(-2))/(1/(-2)). Solve -2*k**4 + 5*k**3 + 3*k**x + 36*k**2 - 38*k**2 - 4*k**d = 0.
0, 1/3, 1
Let s be (6 + (4 - 1 - 2))*1. Let g be 5*s/105 + 2/(-6). Determine r, given that 0*r + g - 1/2*r**4 - 1/2*r**2 + r**3 = 0.
0, 1
Let s(g) = -5*g**4 + 7*g**3 + 2*g**2 - 9*g + 3. Let a(o) = -o**4 + o**3 + 2*o**2 + o - 1. Let y(j) = 2*a(j) + 2*s(j). Solve y(u) = 0 for u.
-1, 1/3, 1
Let r be (2 - 1) + 1 + -2. Let g = 66790 + -66788. Factor -4/13*i**g + r - 2/13*i**3 + 0*i.
-2*i**2*(i + 2)/13
Let d(b) be the second derivative of -3/100*b**5 + 0 - 9*b - 1/20*b**4 + 1/5*b**3 + 0*b**2. Factor d(j).
-3*j*(j - 1)*(j + 2)/5
Let a(b) = 135*b**2 - 1700*b + 55. Let o(g) = -5*g**2 + 63*g - 2. Let k(d) = -2*a(d) - 55*o(d). Let k(n) = 0. Calculate n.
0, 13
Find z, given that 21/2*z - 147/2*z**2 - 1/2 + 343/2*z**3 = 0.
1/7
Let m be (-7)/(-4) - 7/(-28). Factor -6/19 + 2/19*h**3 - 10/19*h - 2/19*h**m.
2*(h - 3)*(h + 1)**2/19
Find n, given that -50/7*n + 2/7*n**3 - 50/7 + 2/7*n**2 = 0.
-5, -1, 5
Suppose 63/4*d**2 + 441/4*d + 3/4*d**3 + 1029/4 = 0. What is d?
-7
Let n(x) = -x - 3. Let w be n(7). Let i = -8 - w. Find l such that 4*l**4 + 78*l**3 - l**2 + 2*l**i - 74*l**3 = 0.
-1/2, 0
Let q(o) be the second derivative of o**4/6 - 25*o**3/3 - 54*o**2 - 58*o - 3. Find h, given that q(h) = 0.
-2, 27
Let v(a) be the second derivative of 3/2*a**2 - 7*a - a**3 - 3/80*a**5 + 0 + 5/16*a**4. Factor v(d).
-3*(d - 2)**2*(d - 1)/4
Let o(n) = -n**3 + n. Let w(j) = -8*j**3 + 60*j**2 + 5*j. Let l(v) = 5*o(v) - w(v). Factor l(s).
3*s**2*(s - 20)
Let b(n) = -n**2 - 2. Let z be b(-3). Let k = z + 13. Factor -2 + 2 - 2*h**k - h - 3*h.
-2*h*(h + 2)
Suppose -13 = -6*d + 35. Suppose d*h + 5 = 21. Factor 2/9*s**3 + 0 - 2/9*s + 0*s**h.
2*s*(s - 1)*(s + 1)/9
Suppose 2 = -4*j - 2, z + 128 = -2*j. Let h be -4*(-1)/2 - (-224)/z. Suppose 4/9*m**3 + 4/9*m**2 - h*m - 2/9*m**5 - 2/9 - 2/9*m**4 = 0. What is m?
-1, 1
Suppose -84/5*x - 44/5 + 3/5*x**3 - 5*x**2 = 0. What is x?
-2, -2/3, 11
Let h = 53 + -54. Let j be 1/4 - h*35/20. Factor -1/3*a**3 - 8/3*a + 5/3*a**j + 4/3.
-(a - 2)**2*(a - 1)/3
Let l(f) be the first derivative of f**5/5 + 8*f**4/3 + 14*f**3 + 36*f**2 + 26*f + 15. Let n(p) be the first derivative of l(p). Factor n(d).
4*(d + 2)*(d + 3)**2
Let u(n) be the second derivative of 0*n**3 - 1/168*n**7 + 0*n**2 + 0*n**5 + 18*n + 0 + 1/12*n**4 - 1/40*n**6. Factor u(a).
-a**2*(a - 1)*(a + 2)**2/4
Suppose -187*c + 678 = -74*c. Let k(t) be the third derivative of -1/15*t**5 + 1/30*t**c + 0*t + 10*t**2 - 1/6*t**4 + 0 + 2/3*t**3. Let k(j) = 0. Calculate j.
-1, 1
Let i(b) = b**2 + 5*b + 16. Let w be i(-4). Let l be w/(-20)*(-12)/36. Factor -1/5*r**3 + 3/5*r**2 + r - l*r**4 + 2/5.
-(r - 2)*(r + 1)**3/5
Let j(n) be the third derivative of n**8/141120 - n**7/5040 + 5*n**5/12 + 28*n**2. Let z(s) be the third derivative of j(s). Factor z(u).
u*(u - 7)/7
Suppose 3*p - p + 2*s = 8, -5*p + 4*s + 29 = 0. Suppose 0 = 6*a + 156 - 180. Factor 6*i**3 + 4*i**5 + 0*i**3 - i**p + 9*i**a.
3*i**3*(i + 1)*(i + 2)
Let m(v) = v**3 - 3*v**2 - 3*v - 3. Let g be m(4). Let h be 2*g/(-6) + (-21)/(-9). Find c, given that -4/3*c**h + 0 + 2/3*c = 0.
0, 1/2
Let u be ((-84)/(-18))/(2/(-12)). Let f be (-114)/(-7) + u/98. Factor l**2 + l + 16 - f.
l*(l + 1)
Let u be (-3)/(-12)*(-11 - -12). Let v(q) be the first derivative of 1/5*q**5 + 0*q + 2 + 0*q**4 - 1/3*q**3 - u*q**2 + 1/12*q**6. Let v(t) = 0. Calculate t.
-1, 0, 1
Let b(a) = -a - 1. Let n(z) = z**3 + 58*z**2 + 846*z + 5. Let y(h) = 5*b(h) + n(h). Let y(p) = 0. Calculate p.
-29, 0
Let t(s) be the second derivative of 0 + 5*s - 4/5*s**2 + 2/3*s**3 - 1/5*s**4. Determine z so that t(z) = 0.
2/3, 1
Let l(n) be the third derivative of -n**8/25200 - n**7/1575 - n**6/225 + n**5/30 - 3*n**2. Let u(r) be the third derivative of l(r). Solve u(k) = 0 for k.
-2
Factor 243/8*v**2 - 3/8*v**3 - 630*v + 600.
-3*(v - 40)**2*(v - 1)/8
Let l = 202 + -196. Let o(s) be the third derivative of 0*s**3 - 1/30*s**5 + 1/18*s**4 + 0 + 1/180*s**l + s**2 + 0*s. Factor o(k).
2*k*(k - 2)*(k - 1)/3
Factor 31/3*a**2 + 68/3*a + 4.
(a + 2)*(31*a + 6)/3
Factor 72*x - 69839 - 12*x**4 + 69839 - 88*x**3 + 188*x**2.
-4*x*(x - 2)*(x + 9)*(3*x + 1)
Let k = 58 - 53. Let b(z) = 8*z**2 - 20*z. Let l(o) = 2*o - 3*o - 3*o**2 + 5*o + 3*o. Let t(w) = k*b(w) + 14*l(w). Factor t(r).
-2*r*(r + 1)
Let i be 5/(-9) - (-8)/(-36)*-3. Let t(w) be the first derivative of -2/9*w**3 + 1/9*w**4 + 0*w + i*w**2 - 1. Suppose t(q) = 0. Calculate q.
0, 1/2, 1
Let w = -264 - -800/3. Let k(b) be the first derivative of w*b + 2/9*b**3 + 4/3*b**2 + 4. Find n, given that k(n) = 0.
-2
Determine n, given that 18*n**2 - 20 + 18*n - 12*n**2 - 4*n**2 = 0.
-10, 1
Let r(j) be the first derivative of j**9/3024 - j**8/840 + j**7/840 - 8*j**3/3 + 14. Let z(y) be the third derivative of r(y). Factor z(a).
a**3*(a - 1)**2
Let q(r) = -r**3 - r**2 + r. Let o be q(0). Suppose -3*c + 12 = -o*c. Factor -8*p + 0*p**2 - 6*p**4 + 12*p**4 + 5*p**5 + 17*p**c + 30*p**3 + 4*p**2.
p*(p + 1)*(p + 2)**2*(5*p - 2)
Suppose 5*t - 3*t - 18 = 0. Suppose t*q + 2 = 20. Determine o, given that -2/21*o**4 - 2/21 + 0*o + 0*o**3 + 4/21*o**q = 0.
-1, 1