**l + 0*g**4 = 0.
-1, -2/5, 0, 1
Let c(g) be the second derivative of -5*g**4/12 - 25*g**3/6 - 10*g**2 - 7*g + 1. Factor c(n).
-5*(n + 1)*(n + 4)
Let t = 73 - 71. Suppose -3*c**5 - 394*c + 6*c**t + 20*c**3 - 24 + 358*c + c**3 = 0. Calculate c.
-2, -1, 2
Let f(i) be the first derivative of -2*i**6/5 + 141*i**5/25 - 24*i**4 + 197*i**3/5 - 78*i**2/5 - 84*i/5 + 389. Solve f(k) = 0 for k.
-1/4, 1, 2, 7
Let n = 144001/90 - 1600. Let i(z) be the third derivative of -z**2 + 0*z**3 + 0*z + n*z**5 + 0 + 1/180*z**6 + 0*z**4. Factor i(y).
2*y**2*(y + 1)/3
Let o = 137 - 135. Let -9*i - o*i - 16 - i + 4*i**2 = 0. What is i?
-1, 4
Let m = 84 - 102. Let u be 3/m*(-5 + 6) + 1. Factor 0*x - 1/6*x**5 + 0 + u*x**4 - 4/3*x**3 + 2/3*x**2.
-x**2*(x - 2)**2*(x - 1)/6
What is f in 242*f**3 - 97*f**3 + 15*f**2 - 110*f**3 = 0?
-3/7, 0
Suppose -3*m - 4*l = 10 - 39, 2*m + 3*l = 21. Let b be (4*1)/(36/27). Determine f so that 2 - b*f - 4*f**2 + m*f**2 - 4 = 0.
-2, -1
Suppose 3*s + 5*l + 98 = 0, 4*l + 70 - 6 = -2*s. Let m = -33 - s. Factor -2/5*o**2 + 2/5*o**4 + 0 + 0*o + 0*o**m.
2*o**2*(o - 1)*(o + 1)/5
Suppose 4 = 261*y - 265*y. Let k be y*2/8*0. Factor k*g + 0*g**3 + g**2 - 1/2*g**4 - 1/2.
-(g - 1)**2*(g + 1)**2/2
Suppose 0 = -r - 3*f + 20, 7 = -3*f - 2. Suppose r = 4*n + 5. Factor -9*l - 23*l**4 + 0 + 15*l**5 + n - 31*l**4 + 66*l**3 - 24*l**2.
3*(l - 1)**4*(5*l + 2)
Let r(w) = 7*w**3 - w**2 + 2*w - 2. Let f be r(1). Suppose 1433*p**2 - f*p - 1430*p**2 + p**3 - 3*p + 5 = 0. What is p?
-5, 1
Let c(q) be the second derivative of 1/100*q**5 - 3/2*q**2 - 6*q - 1/5*q**3 + 1/40*q**4 + 0. Let h(g) be the first derivative of c(g). Factor h(o).
3*(o - 1)*(o + 2)/5
Suppose -230 - 50*f**2 - 18*f**3 + 464 - 250 + 84*f = 0. Calculate f.
-4, 2/9, 1
Let m(s) = s**2 - 10*s + 9. Let p be m(10). Let j(u) = -u**3 - u**2 - u + 7. Let c be j(0). Factor 2 + k**4 + p*k**2 + 0*k**4 - 5*k**3 - c*k + 0.
(k - 2)*(k - 1)**3
Let p(t) be the second derivative of t**5/20 + t**3/6 - 11*t. Let j(w) = 3*w**3 + 12*w**2 - 13*w. Let x(q) = j(q) - 5*p(q). Factor x(l).
-2*l*(l - 3)**2
Let l(g) = -g - 10. Let i be l(-12). What is d in -5*d + 5*d**3 + 44*d**2 + 35*d**i - 5*d**4 - 74*d**2 = 0?
-1, 0, 1
Let s(l) be the first derivative of l**6/12 - l**5 - 87*l**4/8 - 24*l**3 + 201. Factor s(o).
o**2*(o - 16)*(o + 3)**2/2
Let v(c) be the second derivative of -c**5/20 - 5*c**4/12 - c**3/6 - 3*c**2/2 + 3*c. Let b be v(-5). Solve 2*x - 2/3*x**b + 0 = 0 for x.
0, 3
Let t be (-4)/(-3) - (-54)/81. Suppose 2/19*p + 2/19*p**t + 0 = 0. What is p?
-1, 0
What is k in 49298/7*k**2 + 32/7 - 2512/7*k = 0?
4/157
Suppose 2*f = 25*f + 13*f - 108. Let n(s) = -s**3 + 3*s**2 - 2*s + 2. Let l be n(2). Factor -3 + f*i - 3/4*i**l.
-3*(i - 2)**2/4
Suppose 1/8*b**2 + 169/2 - 13/2*b = 0. Calculate b.
26
Let s(v) = -14*v + 8*v + 11*v + 1. Let y be s(-9). Let q(b) = -b**2 - b - 1. Let m(c) = -9*c**3 - 9*c**2 - 2*c - 13. Let o(x) = y*q(x) + 4*m(x). Factor o(u).
-4*(u - 1)*(u + 1)*(9*u - 2)
Let i be 1 + 7 + 26/(-13). Let h(v) be the third derivative of -4*v**2 + 0*v**3 + 0 + 1/40*v**5 + 0*v - 1/24*v**4 + 1/120*v**i. Factor h(b).
b*(b + 2)*(2*b - 1)/2
Let b be ((-12)/(-26))/3 + 168/91. Factor -2/3*n**b + 4/3 - 7/3*n.
-(n + 4)*(2*n - 1)/3
Let k(r) be the first derivative of 0*r**2 - 9 - 1/3*r**3 + 1/6*r**4 - r. Let j(p) be the first derivative of k(p). Suppose j(z) = 0. What is z?
0, 1
Let q(g) be the third derivative of g**8/112 - g**6/20 + g**4/8 + g**2 + 35*g. Let q(y) = 0. What is y?
-1, 0, 1
Let q(o) be the second derivative of -o**5/160 - 29*o**4/96 - 9*o**3/8 + 27*o + 1. Factor q(g).
-g*(g + 2)*(g + 27)/8
Let i be (0 + 0)*-1*(-4)/12. Let z be ((-3)/(-12))/((-2)/(-24) - i). Factor -2/5*g**z - 54/5*g - 54/5 - 18/5*g**2.
-2*(g + 3)**3/5
Suppose -n - 35 = 5*k + 4*n, -3 = 3*n. Let y(l) = 3*l**5 - 3*l**3 - 6*l**2 - 6. Let w(f) = -f**5 + f**3 + f**2 + 1. Let i(j) = k*w(j) - y(j). Solve i(p) = 0.
-1, 0, 1
Let c be (10/(-90))/(0 - 30). Let r(v) be the third derivative of 0*v + 1/36*v**4 + c*v**5 - 6*v**2 + 2/27*v**3 + 0. Let r(t) = 0. Calculate t.
-2, -1
Let d(s) be the first derivative of -s**3/6 - 11*s**2/4 - 5*s + 112. Factor d(j).
-(j + 1)*(j + 10)/2
Let g(i) be the first derivative of -i**3/6 - 25*i**2/4 - 12*i + 65. Factor g(k).
-(k + 1)*(k + 24)/2
Suppose 8*z + 43 = 139. Suppose i + i = a - z, 4*a + 2*i = -2. What is x in 4/3 - 4/3*x + 1/3*x**a = 0?
2
Let g(y) = -y**2 + y + 1. Let i(s) = -12*s**2 + 36*s + 16. Let x(p) = 16*g(p) - i(p). Factor x(r).
-4*r*(r + 5)
Let z(q) = q**2 - 6*q - 15. Suppose -9*p + 17 = -55. Let a be z(p). Factor 0*i**2 - 1/2*i**3 + a + 3/2*i.
-(i - 2)*(i + 1)**2/2
Let r = 192 - 187. Let v(g) be the second derivative of -2/21*g**3 + g + 1/14*g**4 + 0 - 1/70*g**r + 0*g**2. Let v(u) = 0. Calculate u.
0, 1, 2
Factor 1/3*l**2 - 5/3 + 4/3*l.
(l - 1)*(l + 5)/3
Let o be (-6)/(-16)*(-1080)/(-243). Factor -o - 3/2*w + 1/6*w**2.
(w - 10)*(w + 1)/6
Let y be ((-27)/45)/(1/(-10)). Let p be (-1)/y + 275/66. Factor -3/4*r + 3/4*r**3 - 1/2 + 1/4*r**p + 1/4*r**2.
(r - 1)*(r + 1)**2*(r + 2)/4
Let f(s) = 2*s + 2. Let p be f(3). Let y be p - (-1)/((-3)/12). Determine b, given that -13*b**y + 2*b**5 + 2*b**3 + 6*b**4 + 11*b**4 = 0.
-1, 0
Let f(t) be the third derivative of t**7/42 - t**6/18 + t**5/24 + t**3/6 + 29*t**2. Let w(z) be the first derivative of f(z). Determine j so that w(j) = 0.
0, 1/2
Let b(u) be the first derivative of u**7/320 + u**6/192 - u**5/160 - 4*u**3/3 - 1. Let x(p) be the third derivative of b(p). Factor x(v).
3*v*(v + 1)*(7*v - 2)/8
Let u(m) = m**3 - 42*m**2 + 3*m - 124. Let h be u(42). Factor 1/6*v**4 + 13/6*v**2 + 2/3 - v**3 - h*v.
(v - 2)**2*(v - 1)**2/6
Let d = 739 + -733. Let m(f) be the second derivative of 0 + 5*f + 0*f**2 + 1/36*f**4 + 0*f**3 - 1/30*f**5 + 1/90*f**d. Suppose m(h) = 0. What is h?
0, 1
Let v(h) = 12*h**2 - 80*h + 100. Let f = -17 - -24. Let u = -12 + f. Let k(q) = -8*q**2 + 53*q - 67. Let b(l) = u*v(l) - 8*k(l). Factor b(y).
4*(y - 3)**2
Factor -1/4*c**4 - 1/2 + 5/4*c**3 - 9/4*c**2 + 7/4*c.
-(c - 2)*(c - 1)**3/4
Let q(t) be the second derivative of -3*t**2 + 8*t + 1/3*t**3 + 2/3*t**4 + 0. Factor q(a).
2*(a + 1)*(4*a - 3)
Find f, given that 3528 - 1595*f + 92*f**3 + 34*f**4 - 32*f**4 + 5459*f + 1226*f**2 = 0.
-21, -2
Solve 123/5*s**2 + 3/5*s**4 + 12*s + 66/5*s**3 + 0 = 0.
-20, -1, 0
Let d(s) be the third derivative of -1/4*s**5 - 2*s**3 + 0*s - 13*s**2 + s**4 + 0 + 1/40*s**6. Determine c so that d(c) = 0.
1, 2
Let g be 29 + -29 + 6/(-184). Let r = g + 141/92. Let 3*o**2 - 3/2*o**4 + 0 + 0*o - r*o**3 = 0. What is o?
-2, 0, 1
Suppose 2*n = 5*r - r - 394, 0 = 3*r + 2*n - 292. Factor -m**2 - 2*m**2 + 86*m - r*m - 12.
-3*(m + 2)**2
Let w(f) = -f**3 - 11*f**2 - 18*f + 12. Let o(d) = -d**3 - 11*d**2 - 18*d + 16. Let n(h) = -3*o(h) + 4*w(h). Suppose n(p) = 0. Calculate p.
-9, -2, 0
Let m(f) be the first derivative of 3*f**4/4 - 255*f**3 + 65025*f**2/2 - 1842375*f + 425. Factor m(n).
3*(n - 85)**3
Let b = 55 + -33. Suppose 0 = -5*z + b - 7. Determine j so that 0*j**3 - 2*j**3 + 0*j**3 - j**z - 9*j**2 - 6*j = 0.
-2, -1, 0
Let j be (-2)/5 + 204/10. Factor 2*k + 5*k + 30*k**3 + 34*k**4 + 5*k**5 - 2*k + j*k**2 - 14*k**4.
5*k*(k + 1)**4
Solve 2*t**4 - 803649 + 803649 - 22*t**3 = 0 for t.
0, 11
Suppose d = 3*w - 9, 5*w - 2*d = -5*d + 29. Let i be -4 - (-1 - w) - -3. Determine p so that i*p + 1 + 19/4*p**3 + 25/4*p**2 + 7/4*p**4 + 1/4*p**5 = 0.
-2, -1
Suppose -2*k**4 - 36 - 15*k - 24937*k**2 + 18*k**3 - 54*k + 19*k + 24943*k**2 = 0. What is k?
-1, 2, 9
Let l = -98 - -1280/13. Let i = 11 + -7. Suppose 6/13*w**5 + 4/13*w**i + 0*w + 0 - 4/13*w**2 - l*w**3 = 0. Calculate w.
-1, -2/3, 0, 1
Let q(r) be the first derivative of 7 - 24*r + r**4 + 8/3*r**3 - 10*r**2. Factor q(m).
4*(m - 2)*(m + 1)*(m + 3)
Let v be ((-18)/5)/(16/(-10)) - (-24)/(-16). Find n, given that 1/2*n**3 - 3/4*n**2 - v*n + 1/2 = 0.
-1, 1/2, 2
Let c be ((2750/99)/25)/((-1)/(-3)). Factor c + n - 1/3*n**2.
-(n - 5)*(n + 2)/3
Let f(r) = -2*r**2 - 4*r - 6. Let w be f(-4). Let z = -17 - w. Let -362 + 4*j**2 - j + z*j + 362 = 0. Calculate j.
-1, 0
Suppose -25 + 145 = -2*c. Let y = c + 181/3. Factor y*j**2 + 0 - 1/3*j.
j*(j - 1)/3
Factor -63*z**2 + 57*z**2 + 4*z**3 - 9*z + 8 + z - 2*z**4 + 4*z**4.
2*(z - 1)**2*(z + 2)**2
Let n(d) be the second deriva