tor n(s).
-2*s*(s - 1)*(s + 1)**3
Let k(z) be the second derivative of 25*z**5/4 - 475*z**4/12 + 160*z**3/3 - 30*z**2 - z - 11. Find t, given that k(t) = 0.
2/5, 3
Factor -6*i**2 + 10*i + 11*i + 97319*i**3 + 0*i**2 - 12 + 0*i**2 - 97322*i**3.
-3*(i - 1)**2*(i + 4)
Let h be 4/(-10) + (-1932)/(-2800). Let n = h - 1/25. Factor n*d - 1/4*d**3 + 0*d**2 + 0.
-d*(d - 1)*(d + 1)/4
Let b be 5/(-4) + 11223/3132. Let -b*j - 2/3 + 1/3*j**5 - 8/3*j**2 - 2/3*j**3 + 2/3*j**4 = 0. What is j?
-1, 2
Factor 0 + 27/4*w**3 - 15/4*w**2 - 9/4*w**4 + 0*w - 3/4*w**5.
-3*w**2*(w - 1)**2*(w + 5)/4
Let k(m) = m**5 + m**4 + m**2 + m. Let d(l) = -13*l**5 - 8*l**2 - 7*l. Let b(t) = -4*d(t) - 28*k(t). Let b(p) = 0. Calculate p.
-1/3, 0, 1/2, 1
Factor 6/7*c + 2/7*c**2 - 8/7.
2*(c - 1)*(c + 4)/7
Solve 2/3*y**2 + 0 + 10/9*y**4 - 2/9*y**5 - 14/9*y**3 + 0*y = 0.
0, 1, 3
Suppose -33 = q - 4*q. Suppose -2*x**2 - q*x + 5*x - 2 - 2 = 0. What is x?
-2, -1
Let w = 662 - 652. Let g(n) be the first derivative of -2/9*n**3 + 0*n**2 + 0*n + w + 2/15*n**5 + 0*n**4. Find c such that g(c) = 0.
-1, 0, 1
Suppose -2*d - 6 = -5*t + 8, -3*d - 6 = 0. Solve -16 + 4*s**2 - 4 + s**t = 0.
-2, 2
Let p(g) = 12*g**2 - 20*g - 64. Suppose -48 = -c - 5*c. Let d(l) = 4*l**2 - 7*l - 21. Let z(v) = c*d(v) - 3*p(v). Factor z(w).
-4*(w - 3)*(w + 2)
Let o(x) = 25*x + 653. Let z be o(-26). Let i(k) be the first derivative of -20*k**2 + 80/3*k + 5*k**3 + z. Factor i(j).
5*(3*j - 4)**2/3
Let u(o) be the third derivative of -7*o**5/150 - o**4/20 + 4*o**3/15 - 94*o**2. Suppose u(p) = 0. What is p?
-1, 4/7
Let d = -1401 - -1401. Let u(z) be the third derivative of 2*z**2 + 0 + 0*z - 1/2352*z**8 + 0*z**7 + d*z**6 + 0*z**3 + 0*z**4 + 0*z**5. Factor u(h).
-h**5/7
Let t = 81391/8 - 10173. Factor -t*d**3 + 1/4 - 17/8*d + 11/4*d**2.
-(d - 2)*(d - 1)*(7*d - 1)/8
Let u = 87/2629 + -2/717. Let k(j) be the second derivative of -u*j**4 + 1/33*j**3 + 1/110*j**5 + 0 + 0*j**2 - j. Factor k(v).
2*v*(v - 1)**2/11
Let h = -66/35 - -16/7. Let h*m**3 + 0 + 4/5*m**2 + 2/5*m = 0. What is m?
-1, 0
Determine g, given that -10/9*g**2 + 8/9*g**3 + 0 + 4/9*g - 2/9*g**4 = 0.
0, 1, 2
Let s be 9/3 + -1 + (-168)/91. Solve -s*g**4 + 0 + 2/13*g**2 + 2/13*g - 2/13*g**3 = 0 for g.
-1, 0, 1
Let a(j) be the second derivative of 3*j**5/20 + 9*j**4/2 - 12*j. Find q, given that a(q) = 0.
-18, 0
Suppose 4*d + 5*j - 10 = 0, 2*d - j + 3 - 15 = 0. Solve 0*u**2 + 3/5*u**4 - 3/5*u**d + 0 + 0*u + 6/5*u**3 = 0 for u.
-1, 0, 2
Suppose 32 = 5*g + 3*z, 4*g = z + 7 + 5. Determine a, given that -8/5*a**2 - a**3 - 1/5*a**g - 4/5*a + 0 = 0.
-2, -1, 0
Let c(o) = -45*o - 38. Let u(n) = -n**2 + 5*n - 1. Let q(i) = -c(i) - u(i). Factor q(m).
(m + 1)*(m + 39)
Let x(j) = -j**2 + j + 1. Let y(a) = -15*a**2 + 45. Suppose 4*h + 3*g - 49 = -2*g, 5*g = -h + 1. Suppose -2 = -n + h. Let t(i) = n*x(i) - y(i). Factor t(w).
-3*(w - 3)**2
Let r = 786 - 3928/5. Factor 1/5*l**4 + 1/5 - 1/5*l + 2/5*l**3 - r*l**2 - 1/5*l**5.
-(l - 1)**3*(l + 1)**2/5
Factor -152/13 + 46/13*c - 2/13*c**2.
-2*(c - 19)*(c - 4)/13
Determine b, given that 26730899/4*b**3 + 897/4*b + 268203/4*b**2 + 1/4 = 0.
-1/299
Factor -12 - 4 + 63*x - 23*x**2 - 58*x**3 + 169*x**2 - 279*x + 82*x**2.
-2*(x - 2)**2*(29*x + 2)
Let v = 85 - 763/9. Find n, given that -2/3*n**3 - 2/9*n - v*n**4 - 2/3*n**2 + 0 = 0.
-1, 0
Suppose w = -6*r + 18, -5*r + 5*w - 16 = 4. Factor -1/6 - 1/12*f + 1/4*f**r.
(f - 1)*(3*f + 2)/12
Let o be 232/(-60) + 6/(-45). Let u be (-8)/o*3/24. Determine b, given that -u*b**2 - 1/4*b + 1/4*b**3 + 1/4 = 0.
-1, 1
Let b(o) = -7*o**3 - 5*o**2 - 4*o + 6. Suppose -3*j = 2*n - 45, -4*n - n = 3*j - 135. Let d(w) = -w**3 - w**2 - w + 1. Let c(y) = n*d(y) - 5*b(y). Factor c(k).
5*k*(k - 2)*(k + 1)
Factor -41*p - 10*p**2 - 23*p**3 + 33*p + 21*p**3.
-2*p*(p + 1)*(p + 4)
Let t(j) be the third derivative of -7*j**5/60 + 11*j**4/24 + 35*j**3/6 + 7*j**2. Let g(m) = -20*m**2 + 32*m + 104. Let o(d) = -3*g(d) + 8*t(d). Factor o(u).
4*(u - 4)*(u + 2)
Let x be 11 + (-600)/32 + 8. Solve -x*i**2 - 3/4*i**3 + 3/4*i + 1/2 - 1/4*i**4 = 0.
-2, -1, 1
Let a(y) be the second derivative of y**4/30 + 37*y. Factor a(g).
2*g**2/5
Let u(z) be the first derivative of -9*z**5/25 - 21*z**4/10 - 8*z**3/5 - 79. Factor u(d).
-3*d**2*(d + 4)*(3*d + 2)/5
Let c(r) = r**3 + 79*r**2 - 17*r - 1338. Let b be c(-79). Solve 0 + 5/3*s**3 + 5/3*s**b - 10*s**2 + 20/3*s**4 + 0*s = 0 for s.
-3, -2, 0, 1
Let y(d) be the third derivative of 0*d**3 - 1/9*d**4 + 0*d + 3/70*d**7 - 10*d**2 - 5/36*d**6 + 0 + 1/5*d**5 - 5/1008*d**8. Find s such that y(s) = 0.
0, 2/5, 1, 2
Let q(i) = -i**4 - i**3 - i**2 - i. Let p(l) = -15*l**4 - 15*l**3 - 3*l**2 + 3*l + 6. Let v(n) = p(n) - 12*q(n). Factor v(d).
-3*(d - 2)*(d + 1)**3
Suppose 9*m = 11*m - 2. Let l be 4 + (-3 - -3 - m). Factor 20*k**2 - l*k**3 - 10*k**2 - 13*k**2.
-3*k**2*(k + 1)
Let g = -1789 - -1792. Let r(v) be the third derivative of 0 + 0*v + 1/15*v**g - 1/150*v**5 + 1/30*v**4 - 1/150*v**6 - 12*v**2. Solve r(f) = 0 for f.
-1, -1/2, 1
Suppose 0 = -m - 51 + 51. Let s(u) be the second derivative of 0*u**4 - 1/40*u**5 + 0*u**2 - 12*u + m + 1/60*u**6 + 0*u**3. Let s(v) = 0. Calculate v.
0, 1
Let g(k) be the second derivative of -k**6/3600 - 7*k**3/3 + 11*k. Let m(a) be the second derivative of g(a). Solve m(n) = 0 for n.
0
Let k(z) = -4*z**2 - 15*z + 6. Let w(h) = h**2 + 2*h. Let i(n) = -k(n) - 5*w(n). Determine c so that i(c) = 0.
2, 3
Let l be -3*(-6 - -3)/3. Let l*z - 3*z**2 + 2*z + 2*z - 4*z = 0. What is z?
0, 1
Let s be (3 - 4/2) + (-20)/160*-16. Suppose -3/7*l**4 + 0 + 0*l + 9/7*l**2 - 6/7*l**s = 0. Calculate l.
-3, 0, 1
Let j = 95 - 663/7. Let s be 16/7 - -8*6/(-24). Factor j*t**2 + 0 - s*t.
2*t*(t - 1)/7
Let d(i) be the third derivative of 5*i**7/189 - 41*i**6/108 + 137*i**5/135 + 3*i**4 + 8*i**3/3 + i**2 + 17*i. Find w, given that d(w) = 0.
-2/5, 3, 6
Let i(z) = -2 + 0*z + 2*z - 2*z - 2*z. Let l be i(-3). Factor t**2 - l + 1 + 3.
t**2
Factor -150 - 91*p + 0*p**2 - p**2 + 10*p - 3*p**2 + p**2.
-3*(p + 2)*(p + 25)
Solve 0 - 6*s**4 + 0*s**3 + 24*s + 24*s**2 - 3/2*s**5 = 0 for s.
-2, 0, 2
Factor -2*w - 522*w**2 + 87*w + 15*w + 42 + 6 + 530*w**2.
4*(w + 12)*(2*w + 1)
Let j(w) = -5*w**3 + 34*w**2 - 40*w - 79. Let l(u) = u**2 - 1. Let b(x) = -j(x) - l(x). Factor b(m).
5*(m - 4)**2*(m + 1)
Let 4358 + 6592*n**2 + 1686*n**2 + 4291 - 40*n**4 + 41*n**4 - 17112*n + 184*n**3 = 0. Calculate n.
-93, 1
Let f be 0/4 + 6/2. Let r = 56 + -51. Determine s so that 4*s**f - 7*s**3 - 2*s**5 + r*s**5 = 0.
-1, 0, 1
What is w in -2*w**3 - 17*w**2 + 3137 - 3169 + w**2 - 40*w = 0?
-4, -2
Let a(j) be the first derivative of -50 - 1/60*j**5 - 2/3*j - 1/12*j**2 + 1/4*j**3 + 1/24*j**4. Let a(t) = 0. Calculate t.
-2, -1, 1, 4
Let z(n) be the first derivative of -n**6/180 + n**5/60 + n**4/72 - n**3/18 - n - 12. Let d(o) be the first derivative of z(o). Factor d(p).
-p*(p - 2)*(p - 1)*(p + 1)/6
Let p = 150 - 128. Suppose 22 - p = -8*d. Factor 32/11*u - 8/11*u**3 + d*u**2 + 32/11 - 2/11*u**4.
-2*(u - 2)*(u + 2)**3/11
Suppose 425 = 28*b + 369. Find z, given that -3 - 1/3*z**2 + b*z = 0.
3
Let u = 13 + -8. Suppose -10 = -u*c + 20. Factor -5*w**3 - w**4 + c*w + 2*w**3 - 2*w.
-w*(w - 1)*(w + 2)**2
Let z = 39 + -36. Let f be 2/z*(-7)/(-7). Solve -2/3*q**4 + 4/3*q + 0 + 2*q**3 + 10/3*q**2 - f*q**5 = 0 for q.
-1, 0, 2
Suppose -8*t = -3*t + 60. Let g = -10 - t. Factor -3*v**4 - 7*v**3 + 8*v**3 + 4*v**4 - v**g - v.
v*(v - 1)*(v + 1)**2
Let n(l) = l**3 - 2*l**2 + 8*l - 7. Let q(k) = -2 - 3*k**2 + 1 + 2*k**2 + k. Let r(m) = n(m) - 5*q(m). Let x(v) be the first derivative of r(v). Factor x(i).
3*(i + 1)**2
Let g = -354 + 2483/7. Let 0 + 8/7*d**2 - g*d**5 - 4/7*d - 8/7*d**4 + 9/7*d**3 = 0. Calculate d.
-2, -1, 0, 2/5, 1
Suppose n + 2*c = 0, 4*n + 3*c - 2*c = 7. Let s(w) be the first derivative of -28 - 3*w**n + 22 + 6*w**2 + 3*w**3. Factor s(m).
3*m*(3*m + 2)
Solve -64*p**3 - 180*p**2 + 145*p**3 - 96*p**4 + 16 + 84*p**3 + 115*p**3 = 0 for p.
-1/4, 1/2, 2/3, 2
Let t(r) be the second derivative of -2*r**7/21 + 4*r**6/5 - 9*r**5/5 - 336*r. What is g in t(g) = 0?
0, 3
Let u(g) be the third derivative of g**5/20 - 6*g**4 + 288*g**3 + 107*g**2. What is d in u(d) = 0?
24
Let u = -9199/325 + 369/13. Let n(v) be the first derivative of 0*v**2 + 4/15*v**3 - u*v**5 + 0*v**4