30*f**2 - 144*f**4 - 12*f**3.
-2*f*(f - 1)**2*(f + 8)
Let v be ((-8)/6)/((-10)/15). Factor -i**4 - 4*i**5 + 4*i - 5*i**v - 3*i**2 + 9*i**4.
-4*i*(i - 1)**3*(i + 1)
Let u = -115 - -142. Suppose -2*a - 4 = -5*g - u, 4*a + 5*g - 1 = 0. Suppose 5/3*b**4 + 0 + 2/3*b + a*b**3 + 3*b**2 = 0. Calculate b.
-1, -2/5, 0
Let m(n) = 2*n**3 - n. Let w(k) = -23*k**3 - 2*k**2 + 18*k - 4. Let x(a) = 22*m(a) + 2*w(a). Find v, given that x(v) = 0.
-4, 1
Suppose 0 = -x - 3 + 12. Find h such that -1 + 0*h**3 - x + 10*h**2 + 6*h**3 - h**3 - 5*h = 0.
-2, -1, 1
Let v be 2576/(-1610)*5/(-12). Determine z, given that 4*z**3 + 8/3*z**2 + 2/3*z**5 + v*z + 0 + 8/3*z**4 = 0.
-1, 0
Let s(h) be the second derivative of -h**7/5040 - h**6/72 - 5*h**5/12 - 125*h**4/18 + 25*h**3/6 + 15*h. Let g(z) be the second derivative of s(z). Factor g(f).
-(f + 10)**3/6
Let m(i) be the first derivative of 4*i**3/21 + 76*i**2/7 + 468. Factor m(n).
4*n*(n + 38)/7
Let q = -107 + 117. Let s be (2/q)/(18/60). Factor 2/3 + s*z**2 - 4/3*z.
2*(z - 1)**2/3
Factor 71 + 3*x + 2*x**2 - 71 - 7*x.
2*x*(x - 2)
Let l(u) be the first derivative of -25*u**3 + 42*u**2 - 9*u - 64. Find c, given that l(c) = 0.
3/25, 1
Let y(k) be the first derivative of -k**5/80 - k**4/16 - k**3/8 - k**2/8 - 3*k - 6. Let u(a) be the first derivative of y(a). Factor u(t).
-(t + 1)**3/4
Let l be 10179/60 + 51/68. Let u = -170 + l. Factor -2/5 - 2*r - u*r**5 - 4*r**2 - 4*r**3 - 2*r**4.
-2*(r + 1)**5/5
Factor 0*k**3 + k**4 + 0 + 1/6*k**5 + 0*k**2 + 0*k.
k**4*(k + 6)/6
Let h(a) be the third derivative of 0 + 4*a**2 - 1/80*a**5 + 1/32*a**4 + 0*a**3 + 0*a. Factor h(v).
-3*v*(v - 1)/4
Factor q**3 - 4/5*q**2 + 1/5*q**4 + 0 - 4*q.
q*(q - 2)*(q + 2)*(q + 5)/5
Let j = 17 + -13. Find z, given that -j*z**3 + 0*z**3 - 38 - 96*z - 26 - 36*z**2 = 0.
-4, -1
Let k(y) be the third derivative of 59/18*y**4 - 407/90*y**5 - 4/3*y**3 + 0 + 31*y**2 + 0*y + 1141/360*y**6 - 77/90*y**7. Find p such that k(p) = 0.
2/7, 6/11, 1
Let d be (-142)/(-4) - 1*3/6. Let l = d - 33. Factor 0 - 2/3*p + 1/3*p**l.
p*(p - 2)/3
Let t = -25 - -39. Let l be 0/1 + 1/(t/4). Factor 4/7*g**2 + 2/7*g - l*g**5 + 0*g**3 + 0 - 4/7*g**4.
-2*g*(g - 1)*(g + 1)**3/7
Let i(a) be the third derivative of -a**5/30 + 107*a**4/12 + 36*a**3 - 272*a**2. Factor i(z).
-2*(z - 108)*(z + 1)
Let b(i) = i**3 + i**2 + i - 1. Let c be (-10)/2 + 2*2. Let l(n) = 3*n**3 - n**2 - 9*n + 1. Let h(g) = c*l(g) - 3*b(g). Factor h(f).
-2*(f - 1)*(f + 1)*(3*f + 1)
Let l = -17/12 - -15/4. Let n(j) = -j**3 - 5*j**2 + 4*j + 23. Let o be n(-5). Let 4/3*m**o + l*m**2 - 1/3 + 2/3*m = 0. What is m?
-1, 1/4
Let g(y) = 3*y + 234. Let o be g(0). Let q be 1/(-6) - (-91)/o. Find l such that -2/9*l + q*l**2 - 2/9*l**4 + 0 + 2/9*l**3 = 0.
-1, 0, 1
Let a(u) = -u**2 + 2*u - 5. Let c(p) = -10*p**2 + 836*p - 30. Let z(b) = 6*a(b) - c(b). Determine m, given that z(m) = 0.
0, 206
Suppose 4*o - 2*b + 3 + 7 = 0, 4*o = -2*b + 10. Suppose l = 5*y - 15, -5*l = 2*y - 3*l + 6. Find t, given that 0 + 1/2*t**3 - 1/2*t + o*t**y = 0.
-1, 0, 1
Let n = -27864 - -111457/4. Determine u, given that 0 - 1/4*u**2 - n*u = 0.
-1, 0
Let j be ((-17)/340)/((-1)/12). Let i = 28/45 - -16/9. Let -12/5 - j*s**2 + i*s = 0. Calculate s.
2
Let n(h) be the third derivative of -h**6/180 + h**4/9 - 187*h**2. Suppose n(z) = 0. Calculate z.
-2, 0, 2
Let t be (8/(-66))/(32/(-560)). Let y = -16/11 + t. Factor y - 5/3*k + k**2.
(k - 1)*(3*k - 2)/3
Factor -31/6*v + 1/2*v**2 + 5/3.
(v - 10)*(3*v - 1)/6
Let o = 30 + -28. Find f such that -18*f**4 + 47*f**4 - 23*f**3 - 51*f + 19*f**4 - f**3 - 6 - 117*f**o = 0.
-1, -1/4, 2
Let q(r) = -9*r**3 - 74*r**2 - 209*r - 144. Let x(d) = -6*d**3 - 49*d**2 - 139*d - 96. Let g(v) = -5*q(v) + 7*x(v). Solve g(l) = 0 for l.
-4, -1
Let u = 9571/5 - 1914. Suppose u*k**3 + 2/5*k**2 + 0*k - 1/5*k**4 + 0 = 0. Calculate k.
-1, 0, 2
Solve 193/9*a**3 - 68/9*a**4 - 188/9*a - 5/9*a**5 + 4/9*a**2 + 64/9 = 0.
-16, -1, 2/5, 1, 2
Let w(q) be the first derivative of -q**6/720 + q**5/24 - 25*q**4/48 + 13*q**3/3 - 19. Let k(z) be the third derivative of w(z). Suppose k(m) = 0. Calculate m.
5
Suppose -2*z - 153 + 157 = 0. Factor 0 - 2/7*d**3 + 4/21*d**z + 0*d + 2/21*d**4.
2*d**2*(d - 2)*(d - 1)/21
Let q(t) = 7*t**2 + 16*t. Let m(z) = -21*z**2 - 48*z - 1. Let x be 1 + -2 - 1 - 2. Let p(b) = x*m(b) - 11*q(b). Solve p(c) = 0.
-2, -2/7
Suppose 2*v + 50 = 3*r, -3*v + r - 34 - 27 = 0. Let a = 19 + v. Let a + 5/3*t**3 + 0*t + 1/3*t**5 + 2/3*t**2 + 4/3*t**4 = 0. What is t?
-2, -1, 0
Let b = -277 - -287. Factor -5/3*z**2 + b*z - 25/3.
-5*(z - 5)*(z - 1)/3
Suppose -5*h + 1 = -a - 2*h, -2*h + 19 = 3*a. Factor -6*i**4 - 2*i**a + 8*i**5 + 9*i**3 - 5*i**5 - 4*i**2.
i**2*(i - 4)*(i - 1)**2
Let -9*k**4 + 23*k**3 - 4 + 2*k - 11*k**2 + 10 + k**5 - 26*k + 14 = 0. What is k?
-1, 1, 2, 5
Let q(l) = -7*l**3 - 27*l**2 - 2*l + 27. Let r(y) = 64*y**3 + 244*y**2 + 20*y - 244. Let b(d) = -28*q(d) - 3*r(d). Factor b(g).
4*(g - 1)*(g + 1)*(g + 6)
Let n(t) be the second derivative of -2*t**7/525 + 7*t**6/600 - t**5/150 - t**4/120 - 15*t**2/2 - 16*t. Let v(i) be the first derivative of n(i). Factor v(d).
-d*(d - 1)**2*(4*d + 1)/5
Let t = -687 + 1375/2. Let p(s) be the first derivative of 0*s - 1/3*s**2 + 2/3*s**3 + 1 + 2/15*s**5 - t*s**4. Factor p(g).
2*g*(g - 1)**3/3
Let q(v) = v**2 - 114*v + 113. Let w be q(1). Factor -2/17*n + w + 2/17*n**2.
2*n*(n - 1)/17
Determine t, given that -102/13*t + 2/13*t**2 - 8 = 0.
-1, 52
Let s(y) = -3*y**3 - 10*y**2 - 27*y + 94. Let p(j) = 19*j**3 + 59*j**2 + 165*j - 562. Let z(u) = 2*p(u) + 13*s(u). Factor z(o).
-(o - 2)*(o + 7)**2
Suppose 0 = -2*k - 5*y + 24 + 62, -2*k + 82 = 3*y. Solve 84*l**3 + 72*l**2 + 22*l**5 + 20*l**5 + 32*l**4 - k*l**5 = 0 for l.
-3, -2, 0
Let o(p) = -p**3 + p + 2. Let r(b) = -4*b**3 - b**2 + 3*b + 7. Let a = 7 + 7. Let w be (2 - (-2)/(-4))*a. Let j(h) = w*o(h) - 6*r(h). Let j(l) = 0. Calculate l.
-1, 0
Let k(v) be the second derivative of v**6/15 - 4*v**5/5 + v**4 + 40*v**3/3 + 25*v**2 - 23*v + 1. Factor k(f).
2*(f - 5)**2*(f + 1)**2
Let p = 205921/2545755 - 2/54165. Let j = 1519/47 + p. Factor -j*c**2 - 72/5*c - 8/5.
-2*(9*c + 2)**2/5
Let w be ((-2122)/5305)/(14/(-40)). Let g be 1 - (6/14 - 0). Let -g*f**5 - 2/7 + 10/7*f**4 - 4/7*f**3 + w*f - 8/7*f**2 = 0. What is f?
-1, 1/2, 1
Solve -203*t**2 + 136*t**2 - 84*t - 3*t**4 + 124*t**2 + 36 + t**3 - 5*t**3 - 2*t**3 = 0.
-6, 1, 2
Let v be (-1)/(-2) + (84/8 - -4). Let y be (v/27)/(5/6). Factor -y*g**5 + 0*g**2 + 0 - 2/9*g**3 + 0*g - 8/9*g**4.
-2*g**3*(g + 1)*(3*g + 1)/9
Let v be (-19 + (-14935)/(-783))/(1/3). Factor -2/3*o**2 + 0 + v*o**3 + 4/9*o.
2*o*(o - 2)*(o - 1)/9
Let y(h) be the first derivative of -h**6/120 + h**4/48 + 33*h - 42. Let t(z) be the first derivative of y(z). Determine m so that t(m) = 0.
-1, 0, 1
Let j(b) be the first derivative of -b**6/30 + b**4/10 - b**2/10 + 80. Factor j(h).
-h*(h - 1)**2*(h + 1)**2/5
Let k be (-5)/((-20)/3)*-4 + (-19)/(-6). Factor 1/6*g**3 - 1/3 - k*g + 1/3*g**2.
(g - 1)*(g + 1)*(g + 2)/6
Solve -7/4 - 8381*y**3 - 3009/2*y**2 + 4913/4*y**4 - 89*y = 0.
-1/17, 7
Let a(n) = n**3 - 9*n**2 + 23*n - 120. Let t be a(8). Let l(v) be the third derivative of -v**2 + 0 - 5/6*v**4 + v**3 + t*v + 5/18*v**5. Factor l(q).
2*(5*q - 3)**2/3
Suppose 8 = 8*a - 8. Suppose 212*k**a - 2*k - 213*k**2 + 11*k = 0. What is k?
0, 9
Factor 1/7*c**2 + 5/7*c + 0.
c*(c + 5)/7
Suppose -50 = 9*s + 4. Let d be s*(-6)/(-8)*(-2)/6. Factor 6*q**2 + 3/2*q + 0 + 6*q**4 + d*q**5 + 9*q**3.
3*q*(q + 1)**4/2
Factor 123/5*y + 3/5*y**2 + 234/5.
3*(y + 2)*(y + 39)/5
Let v(d) be the first derivative of d**4/4 + 4*d**3 - 13*d**2/2 + 284. Find u such that v(u) = 0.
-13, 0, 1
Let q(d) be the second derivative of -2*d**4/3 + 19*d**3/3 - 15*d**2 - 41*d - 5. Factor q(m).
-2*(m - 1)*(4*m - 15)
Let j = 4621/4 + -5753/5. Let s = j + -12/5. Factor -s - 3/2*v - 1/4*v**2.
-(v + 3)**2/4
Let d(z) = -z**3 + 2*z + 2. Let c(t) = -6*t**3 - 276*t**2 + 9*t + 282. Let g(q) = -c(q) + 3*d(q). Factor g(b).
3*(b - 1)*(b + 1)*(b + 92)
Let v(u) be the second derivative of -363*u**4 - 88*u**3 - 8*u**2 - 80*u. Factor v(g).
-4*(33*g + 2)**2
Let s(z) = -z**4 + 6*z**3 - 25*z**2 + 4*z + 8. Let m(a) = a**4 - 11*a**3 + 49*a**2 - 8*a - 17. Let u(q) = 4*m(q) + 7*s(q). What is h in u(h) = 0?
-3, -2/3, 1, 2
Let n(h) be the f