l**5 - 3*l**2. Factor z(m).
-3*m**2
Let q(f) = -2*f**3 + 9*f**2 + 6*f - 1. Let y be q(5). Let r(n) be the first derivative of -2/9*n**3 + 1/10*n**y + 2/15*n + 1/15*n**2 - 3. What is g in r(g) = 0?
-1/3, 1
Let n be 275/(-25) + (-13)/(-1). What is j in 4/9 - 2/9*j**3 + 2/3*j + 0*j**n = 0?
-1, 2
Let f = 13 - 9. Factor -32*m**5 + 8*m**f - 2*m**3 + 38*m**5 - 4*m**2 + 0*m**4.
2*m**2*(m + 1)**2*(3*m - 2)
Let m = -4377 - -26263/6. Factor 1/2*v**2 - 3/2*v + 5/6 + m*v**3.
(v - 1)**2*(v + 5)/6
Let o(w) be the second derivative of -w**6/30 + 3*w**5/5 - 7*w**4/4 + 5*w**3/3 - 90*w. Factor o(m).
-m*(m - 10)*(m - 1)**2
Let p be 8 - (2 + 1 + 0). Factor y**p + 4*y**2 - 5*y**2 - 4*y**3 + y**4 + 3*y**3.
y**2*(y - 1)*(y + 1)**2
Let x(r) be the second derivative of r**6/180 - r**5/20 + r**4/6 - 4*r**3 - 6*r. Let w(p) be the second derivative of x(p). Factor w(u).
2*(u - 2)*(u - 1)
Suppose -165*f**3 + 858*f**2 - 2268*f + 168*f**2 + 4*f**4 + 648 + 8*f**4 - 3*f**4 = 0. Calculate f.
1/3, 6
Suppose -8*r + 65 = 5*r. Let q(h) = 6*h**2 + 2*h - 36. Let j(t) = 4*t**2 + t - 24. Let i(u) = r*q(u) - 8*j(u). Factor i(p).
-2*(p - 3)*(p + 2)
Let b(y) = 2*y**3 - 20*y**2 - 2*y + 22. Let a be b(10). Factor -2/5*r**3 - 18/5 - 14/5*r**a - 6*r.
-2*(r + 1)*(r + 3)**2/5
Let c = 215 - 211. Suppose 2*g - 8 = 3*g + 5*v, -5*g + 4*v = -18. What is o in c*o + 6 + 8*o**2 - o - 17*o**g = 0?
-2/3, 1
What is a in 10/9*a - 10/9*a**3 - 2/9*a**4 + 2/9*a**2 + 0 = 0?
-5, -1, 0, 1
Let u(k) be the third derivative of 5*k**8/1344 - 23*k**7/210 + 271*k**6/480 - 61*k**5/60 + 5*k**4/8 - 3*k**2 + 5*k. Solve u(p) = 0.
0, 2/5, 1, 2, 15
Let a(s) = 3*s**3 + 8*s**2 - 3*s - 4. Let p(k) = 13*k**3 + 33*k**2 - 13*k - 15. Let i(c) = 9*a(c) - 2*p(c). Suppose i(u) = 0. Calculate u.
-6, -1, 1
What is v in 248/7*v**3 - 8*v**4 + 326/7*v - 428/7*v**2 + 2/7*v**5 - 92/7 = 0?
1, 2, 23
Let w(k) = -10*k**2 + 15*k + 5. Let j(n) = n**2 - n - 2. Let a(c) = -5*j(c) - w(c). Find f, given that a(f) = 0.
1
Suppose -4*p + 104*z + 16 = 105*z, 4*z = -5*p + 31. Find o, given that -2/3*o**p + 2/3*o**4 - 2/9*o**5 + 2/9*o**2 + 0 + 0*o = 0.
0, 1
Let a(d) be the second derivative of -d**5/4 - 85*d**4/12 - 188*d. Factor a(z).
-5*z**2*(z + 17)
Let o(j) be the second derivative of -2*j**6/45 - j**5/5 + 10*j**4/9 + 65*j. Let o(n) = 0. Calculate n.
-5, 0, 2
Let o be 2/(-18) - -5*(-5)/(-225). Let x(i) be the second derivative of 2*i - 20/27*i**3 + o + 1/18*i**4 + 7/9*i**5 - 4/9*i**2 - 49/135*i**6. Factor x(t).
-2*(t - 1)**2*(7*t + 2)**2/9
Suppose -5*q = 2*h - 15, -6 = 7*h - 3*h - 2*q. Let s(n) be the second derivative of -7*n + 0 + 1/24*n**3 + h*n**2 + 1/48*n**4. Let s(z) = 0. What is z?
-1, 0
Let p(g) = -g**2 + 2*g. Let a be p(2). Let y(q) be the third derivative of 1/78*q**4 - 1/390*q**5 + 0*q**3 + a + 0*q - 5*q**2. Factor y(w).
-2*w*(w - 2)/13
Let s be 54/(-63) + (-36)/(-42). Let h(d) be the first derivative of -6 - 2*d**2 + 4/5*d**5 + d**4 + s*d - 4/3*d**3. Factor h(a).
4*a*(a - 1)*(a + 1)**2
Factor -93*m**2 - 78*m**4 + 161*m**4 - 96*m**3 - 86*m**4.
-3*m**2*(m + 1)*(m + 31)
Let i = 57 + -55. Factor -w**4 - 12*w**i + 4*w**4 + 8 - 4*w + w**4 + 4*w**3.
4*(w - 1)**2*(w + 1)*(w + 2)
What is l in -200/7*l**2 + 128/7*l - 4/7*l**4 + 76/7*l**3 + 0 = 0?
0, 1, 2, 16
Let s(h) be the third derivative of -h**8/168 - 19*h**7/1260 + h**6/30 + 23*h**5/360 - h**4/12 - h**3/9 + 19*h**2 + 2. Determine c so that s(c) = 0.
-2, -1, -1/4, 2/3, 1
Factor -3*p**3 + 4*p - 14*p**2 + 11*p**4 + 7*p**5 - 21*p**2 - p**2 + 8*p**2 + 9*p**4.
p*(p - 1)*(p + 2)**2*(7*p - 1)
Let z(o) = -17 + 14*o - 18 - 5*o**2 + 5*o. Let b(g) = -4*g**2 + 18*g - 34. Let a(t) = -3*b(t) + 2*z(t). Solve a(p) = 0.
4
Let m = 4201/28 + -150. Let c = m + 3/28. Find g such that -64/7*g**3 + 4/7*g - 16/7*g**2 + c = 0.
-1/4, 1/4
Factor 9081*v**4 - 9*v**3 - 18149*v**4 - 15*v**2 + 9071*v**4 + 12 + 9*v.
3*(v - 4)*(v - 1)*(v + 1)**2
Let s(m) = -16*m**2 - 18*m - 35. Let u(f) = 3*f**2 + 4*f + 7. Let g(r) = 6*s(r) + 33*u(r). Suppose g(h) = 0. What is h?
-7, -1
Suppose -i + 31*i = -55*i. Let i*v**2 + 8/3*v**4 - 4/3*v**3 + 0 + 0*v - 4/3*v**5 = 0. What is v?
0, 1
Let w(f) be the first derivative of -f**4/8 - 2*f**3/3 + f**2 + 8*f - 80. Factor w(n).
-(n - 2)*(n + 2)*(n + 4)/2
Let m(o) be the first derivative of -1/30*o**3 + 0*o - 1/5*o**2 + 15. Factor m(v).
-v*(v + 4)/10
Let n(s) = 2*s**2 - 82*s + 68. Let f(j) = -3*j**2 + 83*j - 72. Let g(h) = 3*f(h) + 2*n(h). Let g(y) = 0. Calculate y.
1, 16
Let g(d) be the second derivative of 1/40*d**5 + 6*d + 0 - 5/72*d**4 + 0*d**2 + 1/180*d**6 + 1/18*d**3 - 1/252*d**7. Solve g(v) = 0 for v.
-2, 0, 1
Let s(r) be the first derivative of 3*r**5/35 + r**4/21 - 2*r**3/7 - 2*r**2/7 - 21*r - 37. Let a(n) be the first derivative of s(n). Factor a(v).
4*(v - 1)*(v + 1)*(3*v + 1)/7
Let k(z) = 27*z + 302. Let v be k(-11). Let y(r) be the first derivative of 0*r**2 - 4 - 1/5*r**v - 1/4*r**4 + 0*r + 1/3*r**3 + 1/6*r**6. Factor y(o).
o**2*(o - 1)**2*(o + 1)
Let r(w) be the third derivative of -w**5/60 + 31*w**4/12 - 961*w**3/6 - 2*w**2 - 10. Suppose r(l) = 0. Calculate l.
31
Let b(p) be the third derivative of 0*p**4 - 1/510*p**5 + 11*p**2 + 0*p + 1/51*p**3 + 0. Find c such that b(c) = 0.
-1, 1
Let v(u) be the second derivative of -49*u**4/27 + 14*u**3/9 - u**2/2 + 2*u + 10. Suppose v(s) = 0. What is s?
3/14
Let b(f) be the second derivative of f**6/70 + 18*f**5/35 - f - 29. Find r, given that b(r) = 0.
-24, 0
Let y = 2294 - 2292. Let u(b) be the second derivative of -5/3*b**y + 5/3*b**3 - 5/8*b**4 - 5*b + 0. Suppose u(g) = 0. Calculate g.
2/3
Factor 1/7*m**2 + 1/7*m**3 - 2/7*m + 0.
m*(m - 1)*(m + 2)/7
Let h be 0/(1/1) + 2. Let v be ((-15)/20)/(h/(-8)). Factor -2*y**3 + 6*y**v + 6*y + 9*y**2 - y**3.
3*y*(y + 1)*(y + 2)
Let t(a) be the first derivative of a**6/16 - 3*a**5/20 + 3*a**4/32 - 40. Factor t(g).
3*g**3*(g - 1)**2/8
Let f = 16 + -14. Let 40*u + u**4 + 15 + 32*u**f + u**2 - 3*u**2 - 6*u**4 = 0. What is u?
-1, 3
Let h(v) = v**2 + 10*v - 6. Let f be h(-11). Suppose -3*l + 0*l + 6 = 0. What is a in -3*a**5 - 39*a**3 + l*a - f*a + 45*a**3 = 0?
-1, 0, 1
Suppose -3*j + 4*j - 4*p = 17, 0 = -4*j + 2*p + 96. Suppose -11*k**2 - j*k - 11*k**2 - 7*k + 20*k**2 - 128 = 0. What is k?
-8
Let s = 149 - 140. Let u be 7 + (2/s - 140/63). Determine t so that 0 + 0*t + 3/4*t**u - 3/4*t**4 + 0*t**2 + 0*t**3 = 0.
0, 1
Let t(v) be the first derivative of 0*v - 5 + 3*v**3 + 3*v**2 + 3/4*v**4. Solve t(b) = 0 for b.
-2, -1, 0
Let c(f) be the second derivative of -f**6/15 + f**5/2 - f**4/2 - 3*f**3 + 48*f. Let c(j) = 0. Calculate j.
-1, 0, 3
Let j = -1004 - -1850. Let w = j - 5906/7. Solve w + 64/7*t + 4/7*t**4 - 20/7*t**2 + 16/7*t**5 - 80/7*t**3 = 0.
-2, -1, -1/4, 1, 2
Let r(q) = -q**2 - 5*q - 4. Let b be r(-3). Let x = -318 - -340. Determine t so that -t + x - t**b - 37 + 17 = 0.
-2, 1
Suppose 2*x - 37 = -5*j, -4 = 5*x - 4*x - 2*j. Let h(z) be the first derivative of -15/4*z**4 - 13*z**3 - x*z**2 + 12*z + 1. Factor h(a).
-3*(a + 1)*(a + 2)*(5*a - 2)
Let t(w) be the second derivative of -9*w - 5/8*w**2 + 0 + 5/48*w**4 + 0*w**3. Factor t(b).
5*(b - 1)*(b + 1)/4
Suppose -4*d - 7 = 5*n, -n + 2*d + 7 = -0*n. Suppose 0 = 3*f - 2*c - 2, -5*c = -9 - n. Solve -12*o + 5*o**2 - o**2 + 6 + f = 0.
1, 2
Let s(z) be the third derivative of -24*z**2 + 0 - 1/20*z**5 - 3/2*z**3 - 1/2*z**4 + 0*z. Factor s(v).
-3*(v + 1)*(v + 3)
Find x such that 0 + 12/7*x**4 - 6/7*x - 24/7*x**3 - 2/7*x**5 + 20/7*x**2 = 0.
0, 1, 3
Let s(j) = 3*j. Let i(v) = 4*v**4 + 9*v**3 + 6*v**2 + 13*v. Let a be 18/4*(-8)/12*4. Let k(w) = a*s(w) + 3*i(w). Factor k(d).
3*d*(d + 1)**2*(4*d + 1)
Let p = -131/11 + 955/22. Let d = p - 31. Factor 0 + d*j + j**2 + 1/2*j**3.
j*(j + 1)**2/2
Let n(u) = 175*u - 525. Let f be n(3). Factor f*s**3 + 5/3*s**5 - 5/3*s**4 + 0 + 0*s + 0*s**2.
5*s**4*(s - 1)/3
Suppose 3*n - 4*c = 44, 90*n - 4*c - 40 = 88*n. Let -6/23*y**3 - 4/23*y**2 + 0*y + 0*y**n + 0 + 2/23*y**5 = 0. Calculate y.
-1, 0, 2
Factor 1/7*k**3 + 10800/7*k - 180/7*k**2 - 216000/7.
(k - 60)**3/7
Let s(k) = k**2 - k - 83. Let d be s(-10). Let p(n) = -n**2 + 26*n + 29. Let w be p(d). Find u, given that 8/7*u - 6/7 - 2/7*u**w = 0.
1, 3
Let k be ((-8)/12)/((-4)/(-30)). Let c(p) = -3*p**2 - 5*p - 2. Let j(o) = 5*o**2 + 10*o + 5. Let l(r) = k*c(r) - 2*j(r). Factor l(b).
5*b*(b 