 + 4 - 4*z**3 + x*z**2. Let p(y) = -4*f(y) - m(y). Factor p(o).
-3*o**2*(o + 1)
Let i be (-10 + (-1243)/(-121))*(-22)/(-4). What is f in -3/2*f**3 + 0 + 0*f**2 + 0*f - i*f**4 = 0?
-1, 0
Suppose -50 = 3*v + 2*m, -2*v - 32 + 0 = m. Let r = -14 - v. Find y such that 0 + r*y - 1/4*y**4 + 1/2*y**3 - 1/4*y**2 = 0.
0, 1
Let k be (-11 + 102/9)/(2/18). Let j(g) be the third derivative of -1/525*g**7 + 0*g**5 + 0*g**k + 0*g + 0 + 0*g**4 - 3*g**2 - 1/300*g**6. Factor j(o).
-2*o**3*(o + 1)/5
Let f(q) be the second derivative of -q**5/60 + 11*q**4/12 + 25*q**3/2 + 117*q**2/2 + 5*q + 10. Factor f(a).
-(a - 39)*(a + 3)**2/3
Let t(h) = 30*h**4 + 261*h**3 + 450*h**2 - 99*h - 621. Let b(l) = -3*l**4 - 26*l**3 - 45*l**2 + 10*l + 62. Let z(y) = 21*b(y) + 2*t(y). Factor z(g).
-3*(g - 1)*(g + 2)**2*(g + 5)
Let r be -5 + -3*(-4)/3. Let c(d) = d**4 + d**3 - d. Let w(h) = 5*h**4 + 10*h**3 - 8*h**2 - 10*h + 7. Let f(g) = r*w(g) + 4*c(g). Factor f(n).
-(n - 1)**2*(n + 1)*(n + 7)
Suppose -s + 20 = 4*b, -3*s + 9 = -4*b + 29. Let a(u) = -21*u + 233. Let k be a(11). Factor s*n + 0 - 1/5*n**4 + 2/5*n**k - 1/5*n**3.
-n**2*(n - 1)*(n + 2)/5
Let b(s) be the third derivative of s**5/420 + s**4/56 - 3*s**3/7 - 236*s**2. Suppose b(l) = 0. What is l?
-6, 3
Let u(q) = 2*q**2 - 2*q. Let o(h) = 24*h**2 - 316*h + 5476. Let l(m) = -o(m) + 10*u(m). Factor l(a).
-4*(a - 37)**2
Let t(q) be the first derivative of 3*q**5/100 - q**4/20 - q**3/5 + 11*q - 17. Let u(i) be the first derivative of t(i). Solve u(m) = 0.
-1, 0, 2
Let f(h) be the second derivative of h**4/15 + 26*h**3/15 - 96*h**2/5 + 3*h - 65. Factor f(j).
4*(j - 3)*(j + 16)/5
Let l(h) be the first derivative of h**5/5 - 3*h**4/4 + 534. Factor l(m).
m**3*(m - 3)
Let b(j) be the second derivative of 0 - 2/27*j**3 - 27*j + 0*j**2 + 1/54*j**4. Factor b(f).
2*f*(f - 2)/9
Let d(i) = i**2 + 6*i + 5. Let b(m) = -3*m - 6*m**2 - 5 + 5*m**2 - 3*m. Let v(s) = 2*b(s) + 3*d(s). Factor v(h).
(h + 1)*(h + 5)
Let s(o) = -5*o**2 + 48*o + 110. Let p(w) = 90*w**2 - 865*w - 1980. Let z(b) = -3*p(b) - 55*s(b). Factor z(d).
5*(d - 11)*(d + 2)
Let p = 691/518 + -1/1554. Factor 1 + 1/3*l**2 + p*l.
(l + 1)*(l + 3)/3
Let h(r) be the first derivative of -4*r**6/3 + 98*r**5/5 - 92*r**4 + 566*r**3/3 - 172*r**2 + 56*r - 275. Let h(z) = 0. What is z?
1/4, 1, 2, 7
Let k = 15 + -15. Factor 10 - 1549*m**2 - 5*m + 1544*m**2 + k*m.
-5*(m - 1)*(m + 2)
Let m = -105 + 164. Suppose -m = -5*t - 44. Factor 2/7 + 2/7*p**4 - 4/7*p**2 + 0*p**t + 0*p.
2*(p - 1)**2*(p + 1)**2/7
Let z(q) be the second derivative of 7/72*q**4 + q + 1/36*q**5 + 0 + 1/360*q**6 + 1/6*q**3 - 7/2*q**2. Let d(i) be the first derivative of z(i). Factor d(p).
(p + 1)**2*(p + 3)/3
Suppose -2*a = -3*f + 24, 0 = -3*f + 2*a + 2*a + 24. Find x such that 27*x**2 - 9*x**3 - 29*x**2 + 2*x**4 + x**5 + f*x**3 = 0.
-2, -1, 0, 1
Let c(w) = -5*w**2 - 30*w + 83. Let p(f) = -10*f**2 - 60*f + 167. Let y(o) = -7*c(o) + 3*p(o). Let y(j) = 0. What is j?
-8, 2
Suppose 0 = -4*o + 12, -5*l + 7*o = 2*o - 10. Factor 10*y**3 - 4*y**4 - y**4 - l*y**3 + 10*y**2.
-5*y**2*(y - 2)*(y + 1)
Determine h, given that -11/5*h**2 + 4*h - 41/5*h**3 - 4/5 + 3/5*h**4 + 9/5*h**5 = 0.
-2, -1, 1/3, 2
Let f(m) be the second derivative of -2*m**7/147 - 16*m**6/35 - 57*m**5/35 + 998*m**4/21 - 1640*m**3/7 + 3600*m**2/7 - 2*m + 154. Factor f(p).
-4*(p - 2)**3*(p + 15)**2/7
What is v in -326/9*v - 2/9*v**2 + 328/9 = 0?
-164, 1
Let s(g) be the first derivative of g**4/20 + 2*g**3/15 - 3*g**2/10 - 262. Find w, given that s(w) = 0.
-3, 0, 1
Let i be (-74)/(-112) + 630/(-1680). Suppose 26/7*b**3 - i*b + 0 + 11/7*b**4 + 1/7*b**2 - 12/7*b**5 = 0. Calculate b.
-1, -1/3, 0, 1/4, 2
Let 15/2*f**2 + 39/4*f - 3/4*f**3 - 33/2 = 0. Calculate f.
-2, 1, 11
Let k be 8/(-5)*(7/(-14) + -2). Let g(l) be the second derivative of 0*l**2 + 1/15*l**6 - 1/25*l**5 - 1/35*l**7 + 0*l**k + 0*l**3 + 0 - 6*l. Factor g(c).
-2*c**3*(c - 1)*(3*c - 2)/5
Let p(u) be the third derivative of -u**7/168 + u**6/24 - u**5/8 + 5*u**4/24 - 5*u**3/24 - 228*u**2. Solve p(j) = 0 for j.
1
Let w(d) be the second derivative of -34*d**7/63 - 28*d**6/9 - 22*d**5/3 - 80*d**4/9 - 50*d**3/9 - 4*d**2/3 + d + 3. Factor w(p).
-4*(p + 1)**4*(17*p + 2)/3
Let w(y) be the third derivative of 0*y + 1/30*y**6 - 1/84*y**8 + 8/3*y**3 - 2*y**2 + 11/15*y**5 + 2*y**4 + 0 - 2/35*y**7. Solve w(q) = 0.
-2, -1, 2
Let j(d) be the second derivative of -d**5/55 - d**4/66 + 51*d. Determine n, given that j(n) = 0.
-1/2, 0
Let v(m) = 5*m**2 - m - 3. Let q be v(-3). Suppose -3*s - 478*s**4 + q*s + 180*s**2 + 3 + 150*s**3 + 103*s**4 = 0. What is s?
-1/5, 1
Factor 0*k**4 - 30*k**3 - 3*k**4 + 33*k**2 + 8*k**3 - 8*k**3.
-3*k**2*(k - 1)*(k + 11)
Let a(q) = -q**3 - 13*q + 12. Let z(u) = 6*u**3 - u**2 + 66*u - 60. Let s(f) = -33*a(f) - 6*z(f). Let s(b) = 0. What is b?
-3, 1, 4
Let d(y) = 6*y**5 + 28*y**4 - 66*y**3 + 88*y**2 - 32*y + 8. Let i(f) = -f**5 - f**4 - f - 1. Let x(g) = -d(g) - 8*i(g). Factor x(v).
2*v*(v - 5)*(v - 2)**2*(v - 1)
Let o(v) be the second derivative of -v**8/42 + v**7/35 + v**6/60 + 3*v**2 + 27*v. Let d(p) be the first derivative of o(p). Suppose d(a) = 0. What is a?
-1/4, 0, 1
Let a be 40/22 - (-24)/132. Let t(n) be the second derivative of -5*n + 5/21*n**3 + 0 + 2/7*n**a + 2/21*n**4 + 1/70*n**5. Factor t(z).
2*(z + 1)**2*(z + 2)/7
Suppose 2*h + 3*u = -2*h + 7, h + u = 2. Let m be 2 + h + 0 + (-68)/36. Factor 14/9*t - 2*t**2 + m*t**3 - 4/9 - 2/9*t**4.
-2*(t - 2)*(t - 1)**3/9
Let g(q) be the second derivative of 0 + 0*q**3 + 0*q**2 - 5/6*q**4 - 1/10*q**5 - 8*q. Find t such that g(t) = 0.
-5, 0
Let m be -2 + 4/(-6)*-9. Suppose -5*r + 5 = g, 238*r - 240*r - g + 5 = 0. Let -4/11*f**3 + 0*f**2 - 10/11*f**m + 0 + 6/11*f**5 + r*f = 0. What is f?
-1/3, 0, 2
Let t(g) = -5*g**5 + 25*g**4 - 35*g**3 + 5. Let r(s) = -5*s**5 + 26*s**4 - 36*s**3 + 4. Let f(z) = 5*r(z) - 4*t(z). Solve f(p) = 0 for p.
0, 2, 4
Let t(z) be the first derivative of 5*z**6/24 - z**5/4 - 25*z**4/16 + 25*z**3/12 + 5*z**2/2 - 5*z + 11. Let t(m) = 0. What is m?
-2, -1, 1, 2
Let f(v) = -v**2 - 1. Let g(u) = 2*u**5 - 8*u**4 - 2*u**3 + 6*u**2 - 2. Let t(b) = -4*f(b) + 2*g(b). Solve t(m) = 0.
-1, 0, 1, 4
Let c = -13/2 + 105/16. Let j(x) be the third derivative of -1/240*x**6 - 1/12*x**3 + 0*x - 1/40*x**5 + 0 - c*x**4 + 4*x**2. What is b in j(b) = 0?
-1
Let h = -1170/23 + 8552/207. Let n = h - -110/9. Factor -n - 8/3*b - 2/3*b**2.
-2*(b + 2)**2/3
Let j(p) = -50*p + 1002. Let a be j(20). Solve 4/7*g**3 - 2/7*g**4 + 2/7*g**a + 0 - 4/7*g**5 + 0*g = 0.
-1, -1/2, 0, 1
Let s = -3991 + 19957/5. Factor -1/5*h**2 - 1/5 - s*h.
-(h + 1)**2/5
Let t = 64 + -62. Let z be 7/(-3) + t + 2. Determine o, given that z*o - o**2 + 2/3 = 0.
-1/3, 2
Suppose 3 + 2 = n. Factor -n*a**2 + 3*a**2 + a**3 + 3*a**2.
a**2*(a + 1)
Let g = 27 - 26. Let k be (((-12)/(-8))/1)/(g/2). Suppose 0*m + 0*m**2 - 3/2*m**4 - k*m**3 + 0 = 0. Calculate m.
-2, 0
Let i(f) be the first derivative of -51*f**3/5 - 147*f**2/10 + 6*f/5 + 52. Factor i(o).
-3*(o + 1)*(51*o - 2)/5
Let u(i) be the second derivative of i**9/8568 - i**8/14280 - 5*i**3/6 - 14*i. Let n(d) be the second derivative of u(d). Determine k, given that n(k) = 0.
0, 1/3
Let m(l) be the third derivative of l**8/896 - l**6/160 + l**4/64 - 21*l**2. Factor m(n).
3*n*(n - 1)**2*(n + 1)**2/8
Let t = -1688 + 10163/6. Let g(v) be the first derivative of 25/9*v**3 - 5/3*v**4 + t*v**2 - 8 - 10/3*v. Let g(b) = 0. Calculate b.
-1, 1/4, 2
Let x(l) be the third derivative of -l**6/1080 - 43*l**5/540 - 161*l**4/72 - 49*l**3/6 - 37*l**2 - 2. Find v such that x(v) = 0.
-21, -1
Let d(o) be the first derivative of -12/17*o**2 - 13 + 0*o - 104/51*o**3 - 37/34*o**4 - 14/85*o**5. Solve d(c) = 0.
-3, -2, -2/7, 0
Let r = 3466 - 3464. Factor -3/2 - 3/2*q**r + 3*q.
-3*(q - 1)**2/2
Let s = -188511/17 + 11089. Find g such that -2/17*g**4 + s*g**2 - 4/17*g + 6/17*g**3 - 2/17*g**5 + 0 = 0.
-2, -1, 0, 1
Let i(k) be the first derivative of 1/5*k**2 - 41 + 2/15*k**3 - 4/5*k. Suppose i(q) = 0. What is q?
-2, 1
Let o(p) be the second derivative of 0 - 1/45*p**5 + 7*p + 1/9*p**2 - 1/27*p**4 + 1/189*p**7 + 1/27*p**3 + 1/135*p**6. Factor o(h).
2*(h - 1)**2*(h + 1)**3/9
Suppose 0 = 6*x - 4*x. Factor 0 + 2 - 2*s - s**2 + 1 + x.
-(s - 1)*(s + 3)
Let z(o) be the second derivative of 1