 s = 15. Factor 12*u**2 + 2*u**3 - 16 + 0*u - 4*u + 6*u**h - 4*u - j*u**4.
-2*(u - 2)**2*(u + 1)*(u + 2)
Suppose 0 = 6*c - 109 + 37. Let y be (-6 + -3)*(2 - 26/c). Suppose -5/2*d**5 + y*d**4 + 0*d + 0*d**2 + d**3 + 0 = 0. What is d?
-2/5, 0, 1
Let w(n) = n**3 + 17*n**2 + 17*n + 15. Let f be w(-16). Let x(m) = 3*m**2 + 1. Let g(c) = c**2 - 1. Let o(d) = f*g(d) - x(d). Solve o(k) = 0.
0
Let h(s) = s + 7*s - 12*s. Let y be h(-1). Determine w so that 80*w**2 - 25*w + 11*w**y - 12*w**4 - 24*w**4 - 35*w**3 + 35*w**2 - 30 = 0.
-3, -2/5, 1
Let z(j) be the second derivative of j**7/14 - 143*j**6/10 + 2931*j**5/4 + 16855*j**4/4 - 15403*j**3 - 63948*j**2 - 3356*j. What is g in z(g) = 0?
-4, -1, 2, 73
Let q(r) be the second derivative of 0*r**2 + 189 + 1/24*r**4 + 2*r - 1/240*r**6 + 1/80*r**5 - 1/6*r**3. Let q(j) = 0. Calculate j.
-2, 0, 2
Let o(z) = -4*z**2 + 11*z - 3. Let p be o(2). Solve k**3 + k**3 - 455*k - 2535 - 4*k**3 + 0*k**3 + 115*k**2 - 3*k**p = 0.
-3, 13
Let x(g) = -5*g**2 - 80*g - 246. Let b(u) = 42*u**2 + 640*u + 1967. Let d(m) = 3*b(m) + 25*x(m). Factor d(a).
(a - 83)*(a + 3)
Suppose 4 = 2*f, 65*z = 70*z - 2*f - 11. Let i(m) be the first derivative of 9 + 0*m - m**2 - 7/4*m**4 - z*m**3. Factor i(r).
-r*(r + 1)*(7*r + 2)
Let r(d) be the first derivative of d**5 - 705*d**4/4 - 715*d**3 - 2155*d**2/2 - 720*d + 8129. Let r(h) = 0. Calculate h.
-1, 144
Let 4/17*f**2 + 2/17*f**3 - 40/17 - 38/17*f = 0. Calculate f.
-5, -1, 4
What is v in 1/6*v**4 + 0 - 7/3*v**2 + 13/6*v**3 + 0*v = 0?
-14, 0, 1
Let t(o) = o**3 + 33*o**2 + 3*o + 102. Let v be t(-33). Factor 0*s - v*s - 4 - 6 - s**2 - 4*s.
-(s + 2)*(s + 5)
Let z = -22674 - -90705/4. Factor 1/4*m**2 - 9/4*m**3 + z*m - 1/4*m**4 + 0.
-m*(m - 1)*(m + 1)*(m + 9)/4
Let q(r) = 2*r**2 + 2*r - 5. Let z be q(0). Let s(t) = t**3 + t**2 + t - 1. Let a(k) = -6*k**3 + 5*k**2 + 6*k + 5. Let n(i) = z*s(i) - a(i). Factor n(d).
d*(d - 11)*(d + 1)
Let 2/7*i**2 - 8/7 + 0*i = 0. What is i?
-2, 2
Let v(w) = -5*w**4 + 14*w**3 + 85*w**2 - 33*w - 387. Let j(d) = -4*d**4 + 14*d**3 + 88*d**2 - 32*d - 390. Let f(r) = -3*j(r) + 2*v(r). Factor f(x).
2*(x - 11)*(x - 2)*(x + 3)**2
Determine k so that -108 + 3*k**2 + 0*k**4 + 1/2*k**5 - 43/2*k**3 + 126*k = 0.
-6, -3, 1, 2, 6
Let -465/4*y**4 + 267/2*y + 24 - 507/4*y**3 + 369/4*y**2 - 27/4*y**5 = 0. Calculate y.
-16, -1, -2/9, 1
Let g(o) be the third derivative of o**8/1680 - o**6/120 + o**5/60 + 7*o**3/6 + 53*o**2. Let i(h) be the first derivative of g(h). Factor i(y).
y*(y - 1)**2*(y + 2)
Let k(c) = c**2 - 35*c + 358. Let z(o) = -o + 1. Let x be (-37)/12 + 8/96. Let h(a) = x*z(a) - k(a). Solve h(l) = 0 for l.
19
What is h in 191/7*h**2 - 1/7*h**5 + 3*h**4 + 72/7*h - 260/7 - 17*h**3 = 0?
-1, 2, 5, 13
Let l(u) be the second derivative of -u**8/560 + 3*u**7/50 - u**6/10 - 93*u**2 - 87*u. Let h(f) be the first derivative of l(f). Let h(n) = 0. What is n?
0, 1, 20
Let n(w) be the third derivative of -1/108*w**6 + 1/315*w**7 - 6 + w**2 - 1/54*w**5 + 5/108*w**4 + 0*w + 2/27*w**3. Let n(g) = 0. What is g?
-1, -1/3, 1, 2
Suppose -21790 = -8*t - 7678. Factor -655*y**2 + 168*y - t + 328*y**2 + 323*y**2.
-4*(y - 21)**2
Let d(z) = 61 + z**5 + 12*z - 60 + z**3 + z**4 - 12*z. Let t(x) = 18*x**5 + 2*x**4 - 2*x**3 + 6. Let s(j) = 6*d(j) - t(j). Factor s(b).
-4*b**3*(b - 1)*(3*b + 2)
Suppose -2400 + 10689*o + 2990*o**3 + 4943*o - 14008*o**2 - 44*o**4 + 494*o**3 = 0. Calculate o.
2/11, 2, 75
Let x be (-6)/(-7)*(-595)/(-170) - 86/30. Let z(a) be the first derivative of 58/45*a**3 + 17 + 0*a - x*a**2. Factor z(y).
2*y*(29*y - 2)/15
Let r(y) be the second derivative of -y**6/75 + 19*y**4/30 + 2*y**3 - 22*y - 16. Factor r(k).
-2*k*(k - 5)*(k + 2)*(k + 3)/5
Let k(t) be the third derivative of -t**9/3780 - t**8/336 - t**7/105 - 43*t**4/6 + 242*t**2. Let i(n) be the second derivative of k(n). Factor i(h).
-4*h**2*(h + 2)*(h + 3)
Let j(m) = -m**2 + 1. Let t(q) be the second derivative of 5/2*q**3 - 8*q**2 + 0 + 1/12*q**4 - 4*q. Let w(u) = -4*j(u) - t(u). Let w(z) = 0. Calculate z.
1, 4
Let q(h) be the third derivative of -1/336*h**8 - 33*h**2 + 2*h + 0*h**4 + 0 + 0*h**3 + 1/120*h**6 - 1/210*h**7 + 1/60*h**5. Let q(n) = 0. Calculate n.
-1, 0, 1
Let s(c) be the first derivative of 25 + c - 1/3*c**3 + 1/2*c**2 + 1/4*c**4. Let f(l) = 2*l**3 + 5*l**2 + l - 31. Let w(x) = -f(x) + s(x). Factor w(h).
-(h - 2)*(h + 4)**2
Suppose 76*a - 81 - 222 - 1 = 0. Let s(l) be the first derivative of 1/3*l**6 + 0*l - 3*l**2 - 1 + 8/3*l**3 - 8/5*l**5 + l**a. Factor s(c).
2*c*(c - 3)*(c - 1)**2*(c + 1)
Let k(p) = -175*p + 17327. Let b be k(99). Factor 0 + 88/9*u + 2/9*u**b.
2*u*(u + 44)/9
Let h(p) be the second derivative of p**4/114 - 379*p**3/19 - 1324*p. What is f in h(f) = 0?
0, 1137
Let r(g) be the third derivative of 5*g**8/896 + 41*g**7/560 + 59*g**6/320 - 121*g**5/160 - g**4 + 5*g**3 + 1032*g**2 + 2*g. Suppose r(o) = 0. Calculate o.
-5, -4, -1, 4/5, 1
Let t(f) be the first derivative of f**4/2 + 2*f**3/3 - 16*f**2 - 32*f - 1319. Factor t(c).
2*(c - 4)*(c + 1)*(c + 4)
Suppose 163*v = -223*v - 343 + 1501. Factor -1/3*m**v + 1/3*m**2 + 5/3*m + 1.
-(m - 3)*(m + 1)**2/3
Let z(j) be the first derivative of j**4/114 - 4*j**3/19 + 35*j**2/19 - 233*j - 95. Let s(v) be the first derivative of z(v). Find x such that s(x) = 0.
5, 7
Let b be (-18)/(-30) + 107/5. Determine i, given that 60*i**2 - b*i**2 - 270*i - 3*i**2 - 80 = 0.
-2/7, 8
Let n(q) be the third derivative of 3/5*q**5 + 27/4*q**4 + 28*q**3 + 0 - 2*q + 13*q**2 - 1/80*q**6. Suppose n(x) = 0. Calculate x.
-2, 28
Let x(n) be the first derivative of 8/15*n**3 + 0*n - 3/5*n**4 - 57 + 0*n**2. Factor x(r).
-4*r**2*(3*r - 2)/5
Let a(c) be the second derivative of -5*c + 5/4*c**4 - 3/20*c**5 + 0*c**3 + 0*c**2 - 14. Factor a(d).
-3*d**2*(d - 5)
Let a(p) be the first derivative of -p**5/180 - p**4/18 - p**3/6 + 219*p**2/2 + 116. Let j(l) be the second derivative of a(l). Factor j(v).
-(v + 1)*(v + 3)/3
Suppose 404 - 97 = -13*t + 157*t - 125. Find y such that -291*y - 987/2*y**2 - 42 + 147/4*y**t = 0.
-2/7, 14
Let t = 4 - 0. Suppose -j + 5*n - 18 = 0, 3*n - t*n = j - 6. What is d in 6*d**4 - 22/3*d**j + 22/3*d - 4/3 - 10*d**3 = 0?
-1, 1/3, 2
Suppose 1142 = 19*a + 1085. Let c(r) be the first derivative of r - 24 - 3/4*r**2 + 1/6*r**a. What is u in c(u) = 0?
1, 2
Suppose 19 + 10*z - 1/4*z**3 - 37/4*z**2 = 0. Calculate z.
-38, -1, 2
Let g(u) = -64*u**3 - 543*u**2 - 18492*u + 19044. Let m(k) = 52*k**3 + 544*k**2 + 18492*k - 19044. Let j(c) = -4*g(c) - 5*m(c). Factor j(t).
-4*(t - 1)*(t + 69)**2
Let w(c) = 110*c**2 - 5*c + 1. Let v be w(1). Let v*g**3 - 22 + 152*g**2 + 244*g - 126*g**3 + 94 = 0. What is g?
-1, -2/5, 9
Solve -n**3 + 26*n + 28*n + 6*n**2 + 23*n - 88*n + n**2 + 5 = 0 for n.
1, 5
Let j = -10430 + 10464. Let a(g) be the first derivative of 0*g**2 - 1/16*g**4 + 1/24*g**6 - 1/12*g**3 + 1/20*g**5 + j + 0*g. Factor a(t).
t**2*(t - 1)*(t + 1)**2/4
Let a(m) be the second derivative of m**4 + 2/3*m**6 + 0*m**3 + 0 - 61*m + 7/5*m**5 + 2/21*m**7 + 0*m**2. Factor a(h).
4*h**2*(h + 1)**2*(h + 3)
Let c = -686 + 689. Let w(q) = -q**2 - 2*q + 18. Let x be w(c). Factor 4/3 + t**x + 8/3*t - 11/3*t**2.
(t - 2)**2*(3*t + 1)/3
Let a(t) be the third derivative of -t**7/945 + 67*t**6/270 - 1583*t**5/90 + 4355*t**4/27 - 16900*t**3/27 + 352*t**2 - 9*t. Find z such that a(z) = 0.
2, 65
Solve -12 - 16/3*d**4 + 48*d**3 + 72*d - 323/3*d**2 = 0 for d.
1/4, 3/4, 2, 6
Let m(t) = -2*t**2 + 5*t**3 - t**3 - 2*t + 3*t**3 - t**3. Let j be m(3). Factor 71 - 12*i + 67 - j - 8*i**2.
-4*i*(2*i + 3)
Let v(d) = -42*d**2 + 5856*d - 714392. Let a(s) = 13*s**2 - 1952*s + 238132. Let r(i) = -10*a(i) - 3*v(i). Factor r(f).
-4*(f - 244)**2
Let r be 69/9*254/5842. Factor -r*x**3 - 7/3*x**2 - 4 - 16/3*x.
-(x + 2)**2*(x + 3)/3
Let i(x) be the third derivative of x**6/24 + x**5/6 - 125*x**4/24 - 125*x**3/3 + 1403*x**2. What is y in i(y) = 0?
-5, -2, 5
Let n(i) be the first derivative of 3 + 0*i + 3/4*i**2 + 15/4*i**3. Find z such that n(z) = 0.
-2/15, 0
Let f be ((-657)/864)/(-1) + (-3)/4. Let q(r) be the third derivative of 1/480*r**6 + 1/240*r**5 + 0*r + 0 - 23*r**2 - f*r**4 - 1/24*r**3. Factor q(d).
(d - 1)*(d + 1)**2/4
Let s(i) be the first derivative of -864*i**3/7 + 1656*i**2/7 - 1058*i/7 + 3133. Factor s(w).
-2*(36*w 