 h(i) = i**2 - 156*i + 5319. Let g(t) = -t**2 + 158*t - 5317. Let f(d) = -5*g(d) - 6*h(d). Factor f(l).
-(l - 73)**2
Let x(q) be the first derivative of -2/21*q**3 + 0*q + 1/14*q**4 + 16 + 2/35*q**5 - 1/7*q**2. Factor x(d).
2*d*(d - 1)*(d + 1)**2/7
Let d = -45 - -136/3. Suppose -4*g + 3*r = 7*r + 20, 5*r + 25 = -g. Determine x, given that g*x + 1/3*x**2 - d*x**3 + 0 = 0.
0, 1
What is v in -18 + 3/5*v**2 - 87/5*v = 0?
-1, 30
Suppose 0 = f + 2*q + 7, 5*q + 10 = 2*f + 3*q. Suppose 0 = -u + f, 2 - 1 = -x + 3*u. Factor -x*y**3 + 4 + 17*y**2 + y**3 - 20*y**2.
-(y - 1)*(y + 2)**2
Let s(p) = 4*p**2 - 25*p - 15. Let n be s(7). Suppose -5*j + 32 = 3*o + n, -3*j = -5*o - 2. Factor -3/2*a**o + 1/2*a**3 + 0 + a.
a*(a - 2)*(a - 1)/2
Let i be ((-12)/8)/((-3)/(-16))*4/(-8). Factor -10/19*v**3 + 0 + 0*v + 4/19*v**2 + 6/19*v**i.
2*v**2*(v - 1)*(3*v - 2)/19
Let o be (-2)/8 - (-5)/4 - 3. Let a be 7 + -2 + -1 + o. Factor 1/4*b**a + 1/4*b**4 + 0 + 0*b - 1/2*b**3.
b**2*(b - 1)**2/4
Suppose -42*w = -2*w. Let o(x) be the first derivative of w*x - 2/27*x**3 - 10 + 2/9*x**2 - 1/18*x**4. Solve o(g) = 0.
-2, 0, 1
Let i(w) be the third derivative of 3*w**7/14 - 11*w**6/8 - 55*w**5/6 - 115*w**4/6 - 20*w**3 + 2*w**2 - 6*w. Solve i(t) = 0.
-1, -2/3, 6
Let o = -23 + 17. Let j be (-2)/o - 64/(-24). Find p, given that 0*p**j + 0*p + 6*p**3 - 3*p**2 + 0*p - 3*p**4 = 0.
0, 1
Suppose -u - 4*l = -5, -4*u = 2*l - 5 - 15. Suppose -u*p = -2*p - 9. Let -p*r - 24*r**3 + 0*r - 6*r**2 + 21*r**3 = 0. Calculate r.
-1, 0
Let x(q) be the second derivative of q**7/105 + 7*q**6/90 + 7*q**5/30 + q**4/3 + 4*q**3/3 + 8*q. Let z(w) be the second derivative of x(w). Factor z(c).
4*(c + 1)*(c + 2)*(2*c + 1)
Let j be (1890/20)/(-27) + (-11 + 1)/(-2). Determine y so that 3 - 15/2*y**2 + j*y + 3*y**3 = 0.
-1/2, 1, 2
Suppose 5*g - 2*m = 80, 0 = 7*g - 3*g - 2*m - 64. Factor g*z**2 + 0*z**4 + 16*z**4 + 6*z**4 - 8*z**4 - 32*z - 32 + 2*z**5 + 32*z**3.
2*(z - 1)*(z + 2)**4
Let t(y) = -2*y**5 + 31*y**4 - 37*y**3 + 17*y**2 + 3*y. Let j(d) = d**5 - 33*d**4 + 36*d**3 - 16*d**2 - 4*d. Let b(w) = 3*j(w) + 4*t(w). Factor b(l).
-5*l**2*(l - 2)**2*(l - 1)
Factor -2/7*f**2 + 0*f + 2/7*f**3 + 0.
2*f**2*(f - 1)/7
Find y, given that 0 - 306/11*y**3 + 10/11*y**4 + 120/11*y + 16*y**2 = 0.
-2/5, 0, 1, 30
Let v be (240/(-280))/(105/(-98)). Factor 2/5*w**4 + v*w**3 + 0*w**2 + 0*w + 0 - 2/5*w**5.
-2*w**3*(w - 2)*(w + 1)/5
Let v(x) = x**5 - 2*x**4 + x**3 - 2*x. Let b(q) = -1027*q**5 + 6317*q**4 + 5924*q**3 + 1740*q**2 + 164*q. Let s(f) = -b(f) + 2*v(f). Factor s(h).
3*h*(h - 7)*(7*h + 2)**3
Suppose -59 = -45*d + 31. Let g(b) be the first derivative of 1/6*b**3 - 1/2*b**4 + 3/10*b**5 + 0*b + 1 + 0*b**d. Suppose g(p) = 0. What is p?
0, 1/3, 1
Solve 40/11*b**3 + 32/11 + 160/11*b**2 + 128/11*b - 18/11*b**5 - 42/11*b**4 = 0 for b.
-2, -1, -2/3, 2
Let q = 161 - 157. Let s(y) be the first derivative of 5/8*y**2 + q - 7/12*y**3 + 3/16*y**4 - 1/4*y. Solve s(x) = 0 for x.
1/3, 1
Let p(q) = 3*q**3 - 10*q**2 + 4*q + 3. Let w(y) = -11 - 2*y + 13 + 2*y**3 + 5*y - 3*y**2 - 4*y**2. Let f(l) = 5*p(l) - 7*w(l). Let f(j) = 0. Calculate j.
-1, 1
Let g(c) = c**2 - 4*c + 6. Let m(p) = -2*p**2 + 9*p - 13. Let o(w) = 7*g(w) + 3*m(w). Let z be o(0). Factor 0*n**4 - 3*n**4 + 2*n**4 - z*n**3.
-n**3*(n + 3)
Let x(y) be the third derivative of y**5/330 - y**4/11 - 13*y**3/33 - 158*y**2. Determine j so that x(j) = 0.
-1, 13
Suppose 2*s = -5*k - 20, -2*k - 2*k = -3*s + 16. Suppose 4*w = 4*f, -5*f - 5*w + 30 = -10. Factor -11 - h**2 + s + 5 + 3 + f*h.
-(h - 3)*(h - 1)
Let y(p) be the third derivative of -p**7/1365 - 3*p**6/260 - 4*p**5/65 - 4*p**4/39 + 50*p**2. Find n, given that y(n) = 0.
-4, -1, 0
Let u(r) = r**3 - r**2 - r. Let f(c) = -c + 133*c**4 - 10*c**2 - 5*c**3 - 3*c - 136*c**4. Let l(i) = f(i) - 4*u(i). Factor l(q).
-3*q**2*(q + 1)*(q + 2)
Let n be ((3/15)/(27/(-75)))/(15/(-6)). Factor 2/9 - 4/9*w + n*w**2.
2*(w - 1)**2/9
Let j(h) be the third derivative of -h**5/330 + 2*h**4/33 - 16*h**3/33 + h**2 - 33. Solve j(v) = 0.
4
Let 100/11 + 24/11*k**2 - 2/11*k**3 - 90/11*k = 0. Calculate k.
2, 5
Let x = -2402/27 - -89. Let d(f) be the third derivative of 1/270*f**5 + 0 - x*f**3 + 0*f + 1/108*f**4 - 1/540*f**6 - 5*f**2. Factor d(b).
-2*(b - 1)**2*(b + 1)/9
Let v(z) = -3*z**2 - 6*z - 71. Let w(d) = -2*d**2 - 3*d - 37. Let i(x) = -3*v(x) + 5*w(x). Factor i(a).
-(a - 7)*(a + 4)
Let g be (2/(-8))/(21/392) - -6. Factor 2/3*k**2 - g - 2/3*k.
2*(k - 2)*(k + 1)/3
Suppose -5*q = -2*x - 13, 4*x + 8 = 4*q - 0. Suppose -5*d = -9 - x. Find a, given that 0 + 2/5*a**d + 0*a = 0.
0
Suppose v = -6*v - 56. Let i = -3 - v. Factor 0 - 1/6*m**i + 0*m**2 + 0*m + 0*m**3 - 1/6*m**4.
-m**4*(m + 1)/6
Let g(b) = 3*b**5 + 27*b**4 + 87*b**3 + 117*b**2 + 30*b + 6. Let x(y) = y**4 + 2*y**3 - y**2 + 2*y - 1. Let v(u) = g(u) + 6*x(u). Factor v(a).
3*a*(a + 1)**2*(a + 2)*(a + 7)
Let b(t) be the first derivative of t**9/2268 + t**8/252 + t**7/70 + 7*t**6/270 + t**5/45 + t**3/3 + 1. Let l(i) be the third derivative of b(i). Factor l(j).
4*j*(j + 1)**3*(j + 2)/3
Let i be 3/(-5) + (-18)/(-30). Suppose i = 4*m, 2*j - j + 3*m = 0. Determine b so that 1/5*b**4 + 0*b + 1/5*b**2 + 2/5*b**3 + j = 0.
-1, 0
Let x(i) be the first derivative of i**3 + 3*i**2 - 24*i - 168. Factor x(f).
3*(f - 2)*(f + 4)
Let o(r) be the second derivative of -r**6/30 + 7*r**5/20 - 5*r**4/4 + 13*r**3/6 - 2*r**2 - 240*r. Factor o(h).
-(h - 4)*(h - 1)**3
Suppose -18 = -5*q - 3*o, -q + 0*o = -2*o - 14. Let w = 206 - 198. Determine k so that q*k - 5 + w*k**2 + 8 - 5*k**2 = 0.
-1
Let s(d) be the second derivative of d**5/30 - 23*d**4/18 - 4*d**3/9 + 92*d**2/3 - d + 7. Factor s(g).
2*(g - 23)*(g - 2)*(g + 2)/3
Let m = 315 - 315. Let d(s) be the third derivative of -1/120*s**6 + 0*s + 0*s**5 + 0*s**3 + 0*s**4 + 1/336*s**8 + 4*s**2 + 0*s**7 + m. Factor d(z).
z**3*(z - 1)*(z + 1)
Let r = 921 - 915. Let j(m) be the second derivative of 0*m**2 - 1/90*m**r + 0*m**3 - 5*m + 0 + 0*m**4 - 1/120*m**5 - 1/252*m**7. Let j(c) = 0. Calculate c.
-1, 0
Let z(l) be the second derivative of 0 - 8/33*l**3 + 0*l**2 + 1/165*l**6 + l + 2/11*l**4 - 3/55*l**5. Solve z(a) = 0.
0, 2
Let w(r) = -r**3 - 5*r**2 + 4*r + 22. Let b be w(-5). Let q be b/14*(-224)/(-16). Suppose -2/15*j + 2/15*j**q - 4/15 = 0. Calculate j.
-1, 2
Suppose 0 = 4*d, -2*d - 12 = -5*y + 13. Let t(i) be the third derivative of -1/3*i**3 - 4*i**2 + 1/6*i**4 + 0 - 1/30*i**y + 0*i. Find w such that t(w) = 0.
1
Let i be -11 - 2367/(-81) - 18. Factor -200/9*x**2 - i + 40/9*x.
-2*(10*x - 1)**2/9
Let j = 38/5 - 1591/210. Let o(s) be the second derivative of 0*s**5 - 2*s + 0*s**3 + j*s**4 + 0 - 1/105*s**6 + 0*s**2. Factor o(l).
-2*l**2*(l - 1)*(l + 1)/7
Let n = -166 - -166. Suppose -4*p + 4*l - 12 = 0, -3*p = -n*p - l - 1. Let 0 - 4/13*w**p + 2/13*w = 0. What is w?
0, 1/2
Let h be (-5)/(4/24 + -1). Let l(i) be the third derivative of 0 + 0*i**3 + 0*i**4 - 1/420*i**h - 1/210*i**5 + 0*i + 3*i**2. Let l(u) = 0. Calculate u.
-1, 0
Let v = -8 - -3. Let t = v - -7. Factor -3*g + g**3 + t*g**2 - 4*g**3 - g**2 - 7*g**2.
-3*g*(g + 1)**2
Let h be 1*(-1 - 6/(-2)). Suppose -312 = o - 314. Determine j, given that -7*j**3 - 4*j - o*j**3 - 7*j**3 - 16*j**h = 0.
-1/2, 0
Let r(h) be the third derivative of 2*h**7/7 + 23*h**6/15 + 11*h**5/15 - 26*h**4/3 - 40*h**3/3 - 5*h**2 + 13*h. Determine u so that r(u) = 0.
-2, -5/3, -2/5, 1
Let a(i) be the first derivative of i**3/3 + 8*i**2 + 42*i - 97. Let v be a(-13). Determine o, given that 1/2*o - 1/2*o**v + 1/2*o**4 + 0 - 1/2*o**2 = 0.
-1, 0, 1
Let m(i) be the first derivative of -i**4/4 + 2*i**3 + 7*i**2/2 + 2*i + 5. Let u be m(7). Factor 21*f**3 - 15*f**3 - 2*f**5 + 4*f**u + 3*f**5 + 4*f**4 + f.
f*(f + 1)**4
Let h(l) = l**2 + 5*l + 1. Let o(r) = -6*r**2 - 41*r + 52. Let j(i) = -15*h(i) - 3*o(i). Find z such that j(z) = 0.
-19, 3
Suppose 10*p - 3 = 9*p. Factor 18*j**4 + 6*j - 16*j**4 - 12*j**p - 11*j**4 + 3*j**2.
-3*j*(j + 1)**2*(3*j - 2)
Let f(t) be the second derivative of t**5/10 - t**4/3 - 5*t**3/3 + 6*t**2 - 38*t. Suppose f(m) = 0. What is m?
-2, 1, 3
Let m(w) be the first derivative of -2 + 3/14*w**2 - 2/21*w**3 + 1/84*w**4 - 7*w. Let l(z) be the first derivative of m(z). Factor l(x).
(x - 3)*(x - 1)/7
Let f(c) be the second derivative of -2*c**7/21 - 8*c**6