**2 - 138.
2*(i - 23)*(i - 3)*(i - 1)
Suppose -y - 2*c + 4 = 0, -y = -2*c - 2*c + 8. Suppose y = x - 61 + 59. Let -2/5*n**5 - 2/5*n**x + 0*n + 0 - 6/5*n**3 - 6/5*n**4 = 0. What is n?
-1, 0
Let r(u) be the second derivative of u**8/168 - u**6/20 + u**5/15 - 7*u**2 + 28*u. Let o(y) be the first derivative of r(y). Let o(l) = 0. What is l?
-2, 0, 1
Let b(n) = -109*n + 547. Let i be b(5). Let f(d) be the second derivative of 7*d - 1/12*d**4 - 2/3*d**3 + 0 - 3/2*d**i. Factor f(w).
-(w + 1)*(w + 3)
Suppose -5*h - 17 + 2 = 5*u, 8*h + 32 = -4*u. Determine j so that 16/11*j + 6/11*j**u + 8/11 - 2/11*j**4 - 4/11*j**3 = 0.
-2, -1, 2
Let r(u) be the third derivative of u**7/7560 - u**6/360 + u**5/40 + u**4/6 - 10*u**2. Let k(h) be the second derivative of r(h). Find o such that k(o) = 0.
3
Let v(j) = -j**5 + 11*j**4 + 8*j**3 - 4*j**2. Let a(u) = -165 + 165 - u**5. Let b(l) = 12*a(l) - 3*v(l). Factor b(p).
-3*p**2*(p + 2)**2*(3*p - 1)
Factor 2*i**2 + 2*i - 24 + 6*i + 6*i + 0*i**2 - 12*i.
2*(i - 3)*(i + 4)
Suppose w**2 - 7/6*w**3 + 0*w**4 + 0*w + 0 + 1/6*w**5 = 0. Calculate w.
-3, 0, 1, 2
Let m be -1 + -2 + (-1323)/(-343). Factor 24/7*c**2 + 2/7*c**4 - 12/7*c**3 - 20/7*c + m.
2*(c - 3)*(c - 1)**3/7
Factor -8/7 - 2/7*m**2 + 8/7*m.
-2*(m - 2)**2/7
Let g(c) be the third derivative of 169*c**7/1260 - 65*c**6/144 + 8*c**5/15 - c**4/4 - 498*c**2. Determine a so that g(a) = 0.
0, 6/13, 1
Factor -41/2*c - 1/8*c**2 - 1681/2.
-(c + 82)**2/8
What is d in 0 + 60/7*d**3 + 24/7*d**4 - 9/7*d**5 + 0*d - 48/7*d**2 = 0?
-2, 0, 2/3, 4
Let y(f) = 2*f**2 + 10. Let x(a) = 1. Let k(j) = 2. Let n(o) = -k(o) + x(o). Let d(s) = -10*n(s) - y(s). Factor d(p).
-2*p**2
Let g be (30/20)/((-3)/(-4)). Let h be (g/(-14))/((480/(-70))/12). Factor 2*x + h*x**2 + 4.
(x + 4)**2/4
Let w = -4 + 6. Solve -30 - 2*y**w + 28 + 4*y**2 = 0.
-1, 1
Let z = -550/9 - 6644/63. Let w = 167 + z. Solve -4/7*u**4 - w*u + 4/7*u**2 + 1/7*u**5 + 2/7*u**3 + 0 = 0 for u.
-1, 0, 1, 3
Let s be 44 - 39 - (-73)/(-13). Let t = 123/52 + s. Factor 0 - t*p**2 + 1/2*p.
-p*(7*p - 2)/4
Let f(y) be the second derivative of y**4/30 - 136*y**3/5 + 41616*y**2/5 - 292*y. Factor f(n).
2*(n - 204)**2/5
Factor 23*n**3 - 2*n**4 + 1755 + 2*n**4 + 1620*n - 7*n**3 + 450*n**2 - 5*n**4 + 4*n**3.
-5*(n - 13)*(n + 3)**3
Determine m, given that 64/19 + 18/19*m**3 - 72/19*m - 2/19*m**4 - 8/19*m**2 = 0.
-2, 1, 2, 8
Let j(b) be the third derivative of 4/3*b**3 - 1/15*b**5 + 0*b + 0 + 10*b**2 + 1/90*b**6 + 1/6*b**4. Let q(r) be the first derivative of j(r). Solve q(d) = 0.
1
Let c(q) be the third derivative of -q**4 - 1/15*q**5 + 8/3*q**3 + 0 + 11/60*q**6 + 0*q - 2/35*q**7 - 3*q**2 + 1/168*q**8. Factor c(l).
2*(l - 2)**3*(l - 1)*(l + 1)
Factor 227*t**3 + 362*t**2 - 92*t**2 + 24300*t - 226*t**3 + 729000.
(t + 90)**3
Suppose -s + 13 = -4*u, u = 4*s - 0*s - 22. Let i(z) = 7*z**4 - 2*z**3 + z**2 + 5. Let y(t) = t**4 + t**2 + 1. Let c(a) = u*i(a) + 10*y(a). Factor c(q).
-4*q**2*(q - 2)*(q + 1)
Let m(j) = 2155*j + 10775. Let z be m(-5). Factor -2/3*s**4 + 0 + z*s + 0*s**3 + 0*s**2.
-2*s**4/3
Suppose 4*c + 4*d + 112 = 0, -5*c - 186 + 6 = -5*d. Let b be c/(-63) - (-48)/(-168). Factor -2*h**4 + b*h + 10/9*h**2 + 0 + 2/3*h**3.
-2*h*(h - 1)*(3*h + 1)**2/9
Let z(k) be the second derivative of -k**6/60 - k**5/10 - k**4/6 - 9*k**2 - 11*k. Let u(h) be the first derivative of z(h). Factor u(c).
-2*c*(c + 1)*(c + 2)
Let n(a) be the first derivative of -2*a**6 + 88*a**5/5 - 58*a**4 + 272*a**3/3 - 70*a**2 + 24*a - 77. Determine w, given that n(w) = 0.
1/3, 1, 2, 3
Let v(c) be the second derivative of c**8/3360 + c**7/840 - c**6/720 - c**5/120 - 11*c**3/6 + 6*c. Let y(x) be the second derivative of v(x). Factor y(j).
j*(j - 1)*(j + 1)*(j + 2)/2
Let h = -37904 - -37907. Factor -2/13*y**h + 8/13*y**2 + 22/13*y + 12/13.
-2*(y - 6)*(y + 1)**2/13
Let f be (-111)/259*4/(-6). Let k(x) be the first derivative of 6/7*x**5 - f*x**2 + 3/7*x**6 + 1 - 2/3*x**3 + 0*x + 1/14*x**4. Find j, given that k(j) = 0.
-1, -1/3, 0, 2/3
Let a(t) be the second derivative of t**5/80 - t**4/6 + 13*t**3/24 - 3*t**2/4 + t + 15. Factor a(b).
(b - 6)*(b - 1)**2/4
Suppose -1/5*x**3 + 16/5 - 6/5*x - 9/5*x**2 = 0. What is x?
-8, -2, 1
Let z(h) be the first derivative of -h**5/15 + 2*h**4/3 - 8*h**3/3 - 10*h**2 - h + 16. Let c(l) be the second derivative of z(l). Solve c(s) = 0 for s.
2
Let n(w) be the second derivative of w**4/6 - 11*w**3/6 + 7*w**2/2 - 11*w. Let b be n(5). Factor 3/2*c**4 - 3/2*c**b + 0 + 3/4*c**5 + 0*c**3 - 3/4*c.
3*c*(c - 1)*(c + 1)**3/4
Let 5/4*c**5 + 5/2*c**2 + 20*c**3 - 85/4*c - 25/2*c**4 + 10 = 0. What is c?
-1, 1, 8
Factor 216*p**3 - 9 + 6 + p**4 + 3 - 17*p**2 - 217*p**3 - 15*p.
p*(p - 5)*(p + 1)*(p + 3)
Let v(x) be the second derivative of x**6/15 + 3*x**5/50 - x**4/15 + 111*x. Find q, given that v(q) = 0.
-1, 0, 2/5
Let o(l) be the second derivative of -1/60*l**4 + 0 - 1/15*l**3 + 4/5*l**2 - 43*l. Factor o(r).
-(r - 2)*(r + 4)/5
Suppose 2*j - 5*j - 19 = 5*p, -j + 4*p + 22 = 0. Factor 3 - 5*o**2 + 2*o**j + 2*o + 2*o**2.
-(o - 3)*(o + 1)
Let j(x) = x + 21. Let p be j(-18). Suppose 0 = p*r - 8*r + 15. Factor 1/4*t**r - 1/2*t**2 + 1/2 - 1/4*t.
(t - 2)*(t - 1)*(t + 1)/4
Let a(k) be the third derivative of -k**7/1470 + k**6/168 - k**5/420 - k**4/8 + 3*k**3/7 + 22*k**2. Factor a(d).
-(d - 3)**2*(d - 1)*(d + 2)/7
Let r(z) be the second derivative of z**6/660 - z**5/66 + z**4/33 + 5*z**2/2 + 5*z. Let j(x) be the first derivative of r(x). Let j(l) = 0. Calculate l.
0, 1, 4
Factor -162*u + 74*u**2 - 4*u**5 - 67*u**3 + 41*u**4 - 87*u**3 + 190*u**2 + 27 - 12*u**2.
-(u - 3)**3*(u - 1)*(4*u - 1)
Let p(a) be the third derivative of -a**6/30 + 2*a**5/3 - 13*a**4/6 - 16*a**3 - 12*a**2 + 19*a. Determine s, given that p(s) = 0.
-1, 3, 8
Let l = 56 - -79. What is w in -2*w**4 - 4*w**4 + 2*w**4 - 139*w**3 + l*w**3 = 0?
-1, 0
Let l(h) = -3*h**2 - 302*h - 22800. Let a(j) = -2*j**2 + 1. Let z(f) = 5*a(f) - 5*l(f). Factor z(d).
5*(d + 151)**2
Let x(v) be the second derivative of v**6/240 + 3*v**5/160 - v**4/32 - 11*v**3/48 - 3*v**2/8 - 15*v - 1. Factor x(b).
(b - 2)*(b + 1)**2*(b + 3)/8
What is k in 0*k + 6 - 3/2*k**2 = 0?
-2, 2
Let m(c) be the third derivative of -c**9/90720 + c**8/15120 + 17*c**5/60 - 26*c**2. Let o(g) be the third derivative of m(g). Factor o(k).
-2*k**2*(k - 2)/3
Let l(m) be the first derivative of -2*m**5/5 - 9*m**4/2 - 16*m**3 - 16*m**2 + 226. Solve l(n) = 0.
-4, -1, 0
Let v(r) = -r**2 - 76*r + 409. Let a be v(5). Let d(i) be the second derivative of 6*i - 7/10*i**5 - i**2 + 0 - 5/3*i**3 - 3/2*i**a - 2/15*i**6. Factor d(c).
-2*(c + 1)**3*(2*c + 1)
Let t(o) be the second derivative of o**4/72 - o**3/9 - 7*o**2/4 - o - 7. Factor t(q).
(q - 7)*(q + 3)/6
Let v(m) be the first derivative of m**6/2 + 84*m**5/5 + 735*m**4/4 + 698*m**3 + 1152*m**2 + 864*m + 170. Determine g so that v(g) = 0.
-12, -2, -1
Let u(c) be the third derivative of 1/72*c**6 + 1/45*c**5 + 0*c - 1/18*c**4 - 1/210*c**7 - 8*c**2 + 0*c**3 + 0. Factor u(m).
-m*(m - 2)*(m + 1)*(3*m - 2)/3
Let l(r) = 9*r + 3. Let v be l(1). Let f(m) = 4*m**2 + 6*m + 8. Let y(p) = -p**2 - p. Let o(i) = v*y(i) + 2*f(i). Factor o(d).
-4*(d - 2)*(d + 2)
Let n(z) = -z - 3. Let y be n(-6). Let h be ((-9)/6 + 3)*2. Let h*a**2 + y*a**2 - 3*a**2 - 2 - 1 = 0. Calculate a.
-1, 1
Let p = 29 + -27. Factor 30*m + 34*m + 0*m**2 - 44*m + 4*m**p.
4*m*(m + 5)
Let q(l) be the first derivative of -7*l**4/10 + 16*l**3/3 + 12*l**2/5 - 110. What is d in q(d) = 0?
-2/7, 0, 6
Let j = -19 + 16. Let q be (-1 - -1 - 1)*-7. Let r(i) = -3*i**3 + i**2 + 9. Let v(k) = -k**3 + 4. Let l(g) = j*r(g) + q*v(g). Let l(a) = 0. Calculate a.
-1/2, 1
Suppose l = 2*s - 6, -2*l - 13 = -5*s + 3. Suppose s*o + o + 5*j = -10, 22 = 4*o - 2*j. Solve -4*m**4 + 54*m**2 - 21*m**o + 15 - 60*m + 9 + 7*m**4 = 0 for m.
1, 2
Let k be (-2)/(-4)*-7*(-30)/3. Factor k*f**3 + 934*f - 17*f**2 - 5*f**4 - 358*f**2 - 309*f + 40*f**3.
-5*f*(f - 5)**3
Let r(k) = k**5 + k**3 - k**2 - k + 1. Let w(m) = -15*m**5 + 65*m**4 - 70*m**3 + 30*m**2 - 10*m + 5. Let a(t) = 5*r(t) - w(t). Factor a(f).
5*f*(f - 1)**3*(4*f - 1)
Let i = 14776 - 14772. Factor 0 - 2*p**3 + 4/9*p**2 + 14/9*p**i + 0*p.
2*p**2*(p - 1)*(7*p - 2)/9
Let w(r) be the first derivative of -r**7/126 + r**6/45 + 5*r + 1. Let h(u) be the first d