r 28/15*w + 26/15*w**2 + 0 - 2/15*w**3.
-2*w*(w - 14)*(w + 1)/15
Suppose -r - 3 = -c, r - 12 = -3*r. Determine u so that 30*u - 15*u**3 - 20*u - 31*u + 3*u**4 + c + 27*u**2 = 0.
1, 2
Let o(a) be the second derivative of -1/4*a**4 - 27/2*a**2 - 9*a - 3*a**3 + 0. Factor o(y).
-3*(y + 3)**2
Let k(j) be the first derivative of -3*j**4/4 + 4*j**3 - 6*j**2 + 37. Factor k(d).
-3*d*(d - 2)**2
Factor -1/9*y**3 - 5/9*y + 2/9 + 4/9*y**2.
-(y - 2)*(y - 1)**2/9
Suppose -446 = 4*n - 454. Solve 4/5*g + 46/5*g**n + 0 = 0.
-2/23, 0
Suppose -493*q**3 + 40 + 48*q + 166*q**3 + 164*q**3 + 165*q**3 + 18*q**2 = 0. What is q?
-5, -2
Suppose -5*g + 3*r + 33 + 13 = 0, 3*g - 32 = 4*r. Suppose -6*z + 16 = -g. Suppose 3/5*d**z + 0*d**3 - 18/5*d**2 - 9/5 - 24/5*d = 0. What is d?
-1, 3
Let h(d) be the second derivative of -d**7/8820 + d**5/420 + d**4/4 - 7*d. Let s(r) be the third derivative of h(r). Factor s(t).
-2*(t - 1)*(t + 1)/7
Let p be -390*(3 - -2*3/(-9)). Let z be 2840/p + 3 - 3/(-7). Factor -2/13*s**4 + 0*s - 2/13*s**2 + z*s**3 + 0.
-2*s**2*(s - 1)**2/13
Let s(g) be the third derivative of -g**8/20160 - g**7/630 - g**6/45 - g**5/30 - 6*g**2. Let w(m) be the third derivative of s(m). Suppose w(n) = 0. What is n?
-4
Factor 0 + 2/3*o**3 - 4/3*o**2 + 2/3*o.
2*o*(o - 1)**2/3
Solve 1682/9 - 38/3*q**2 + 2/9*q**3 + 174*q = 0 for q.
-1, 29
Let u = -383 + 185. Let z = 1394/7 + u. Let 4/7 - 8/7*n**3 - 2/7*n**5 - z*n**4 + 4/7*n**2 + 10/7*n = 0. Calculate n.
-2, -1, 1
Let l(j) be the second derivative of -j**8/40320 + j**7/5040 + j**6/480 + j**5/144 - 2*j**4/3 - 23*j. Let c(t) be the third derivative of l(t). Factor c(q).
-(q - 5)*(q + 1)**2/6
Let x(z) be the first derivative of 0*z + 9/40*z**6 - z**3 + 3/2*z**2 + 13/8*z**4 + 1 - 6/5*z**5. Let q(t) be the second derivative of x(t). Factor q(p).
3*(p - 2)*(3*p - 1)**2
Let s(i) be the third derivative of i**5/15 - 17*i**4/6 + 20*i**3 - 28*i**2. Let s(z) = 0. What is z?
2, 15
Let c(m) = m**3 + 24*m**2 + 300*m + 994. Let l(d) be the first derivative of -d**3/3 - d - 29. Let g(n) = c(n) - 6*l(n). What is h in g(h) = 0?
-10
Let i(o) be the third derivative of 7/6*o**4 - 23/60*o**5 - 1/210*o**7 + 15*o**2 + 0 + 0*o + 1/15*o**6 - 2*o**3. Find p, given that i(p) = 0.
1, 2, 3
Suppose -2 = -k + 4. Factor 2*y**5 + 2*y**4 - y**5 + 2*y**5 + k*y**2 - 8*y**4 - 3*y.
3*y*(y - 1)**3*(y + 1)
Let p be (-476)/1920 + -1 + 15/12. Let n(f) be the third derivative of 0*f**4 + p*f**6 + f**2 + 1/240*f**5 + 0 + 0*f**3 + 0*f. Find w, given that n(w) = 0.
-1, 0
Suppose 5*f = -8 - 12. Let t be (-7)/f - 5/(-20). Factor y**t - 8 + y - y + 4.
(y - 2)*(y + 2)
Let r be ((-35)/25 - -1) + (-88)/(-20). Factor 1/5*p**3 + 0*p - 2/5*p**2 + 0 + 1/5*p**r.
p**2*(p - 1)*(p + 2)/5
Let j = -23710 - -23713. Let 64/7*d**4 + 172/7*d**2 - 10/7*d**5 - 22*d**j + 16/7 - 88/7*d = 0. Calculate d.
2/5, 1, 2
Let d = -4 + 7. Suppose 2*q = -q + 5*q. Solve -8*o + q*o**3 - d*o**3 - 16*o + 16 + 12*o**2 + o**3 = 0 for o.
2
Let r be (-52)/(-16) - (4 - 45/12). Let a(i) be the first derivative of -1 + 0*i + 0*i**2 + 2/45*i**r - 1/30*i**4. Factor a(c).
-2*c**2*(c - 1)/15
Suppose -2*f - 2*f = -f. Let g(u) be the second derivative of -9*u + 0*u**2 + 0 + f*u**3 + 3/5*u**6 - 1/5*u**5 + 0*u**4. Solve g(p) = 0 for p.
0, 2/9
Let y(v) be the first derivative of v**3/3 - v**2/2 - 2*v - 102. Suppose y(h) = 0. Calculate h.
-1, 2
Let b = 6958 + -6955. Find o, given that 135/7*o + 150/7 - 27*o**2 - 87/7*o**b - 9/7*o**4 = 0.
-5, -2/3, 1
Determine w so that 2/11*w**2 - 86/11*w - 8 = 0.
-1, 44
Let k(x) = 3*x**3 - 12*x**2 + 21*x - 12. Let y(j) = -77 - 3*j**2 + 21*j - 10*j**2 + 3*j**3 + 66. Let a(f) = -2*k(f) + 3*y(f). Factor a(b).
3*(b - 3)*(b - 1)**2
Let f = 48 - 28. Suppose 2*u + 2*u = f. Solve 5*v**3 + 10 + 6*v**4 - 6*v**4 + 15*v**2 - 25*v - u*v**4 = 0.
-2, 1
Let a be 77/24 - 5/(-15)*6. Let f(i) be the first derivative of -3 - a*i**4 + 50/3*i**3 + 32/3*i - 20*i**2. Factor f(w).
-(5*w - 4)**3/6
Factor 5/2*c**2 + 30*c + 175/2.
5*(c + 5)*(c + 7)/2
Let o = -25645/4 + 6412. Factor 3/4*z**2 + o*z + 0.
3*z*(z + 1)/4
Factor -5*p + 25 + 1/4*p**2.
(p - 10)**2/4
Suppose -4*z = 4*x - 6 - 6, -5*x = 4*z - 15. Let j(l) be the third derivative of 0*l - 1/360*l**5 - 1/9*l**x - 11*l**2 + 0 + 1/36*l**4. Factor j(t).
-(t - 2)**2/6
Let w(r) = -2*r**3 - 13*r**2 - 6*r + 5. Let d(k) = 6*k**2 + k**3 - 4*k - k - 4*k - 2 + 12*k. Let l = -5 + 8. Let i(h) = l*w(h) + 7*d(h). Factor i(s).
(s + 1)**3
Let k(z) = -2*z**2 - 40*z - 36. Let i be k(-19). Let w be (2/12)/((-2)/(-4)). Let 2*r**i + 4*r + 8/3 + w*r**3 = 0. What is r?
-2
Suppose -5*u = 5*y - 5, 3*y - 167 = u - 160. Let -8/5*m + 4/5 - 1/5*m**3 + m**y = 0. What is m?
1, 2
Let y = 5183 - 15541/3. Factor y*g + 16/3 + 1/3*g**2.
(g + 4)**2/3
Solve 1/4*b**2 + 56*b + 3136 = 0 for b.
-112
Suppose -4*n = 2*r - 220, 2*n - 110 = 19*r - 22*r. Find a, given that n*a - 25/2*a**2 - 20 = 0.
2/5, 4
Let l(d) be the third derivative of d**5/12 - 95*d**4/24 - 115*d**2 + 2. Factor l(p).
5*p*(p - 19)
Let z(q) = -q**3 + 3*q**2 + 10*q + 4. Let h be z(5). Factor 28*n**5 + 12*n**3 - 16*n**4 + 32*n**h + 32*n**4 - 2*n**2 - 6*n**2.
4*n**2*(n + 1)**2*(7*n - 2)
Let s(r) be the second derivative of -1/8*r**2 - 1/8*r**3 + 0 + 17*r - 1/80*r**5 - 1/16*r**4. Let s(x) = 0. What is x?
-1
Let w = 2 - -16. Suppose -3*u + 7*u - 2*n - w = 0, -5*u + 2*n = -22. Factor -54*m**2 - 33*m + 7*m - 2*m**5 - 6*m**4 - 6 - 8*m**u - 36*m**3 + 10*m**2.
-2*(m + 1)**4*(m + 3)
Let i(a) = 3*a - 34. Let c(j) = -j**3 - 8*j**2 - 7*j + 12. Let m be c(-7). Let t be i(m). What is h in -h - 1/2 - 1/2*h**t = 0?
-1
Let c(w) be the first derivative of -w**4/12 - w**3/3 + 20*w - 4. Let m(a) be the first derivative of c(a). Factor m(l).
-l*(l + 2)
Suppose -121*s - 24 - 189*s**5 + 13*s + 177*s**5 + 9*s**4 + 75*s**3 - 30*s**2 = 0. Calculate s.
-2, -1, -1/4, 2
Let j(a) = a**3 + 11*a**2 + 13*a + 35. Let v be j(-10). Suppose -4*y = -v*y. Factor 2/5*w**3 + 0*w**2 + 2/5*w**4 + y*w + 0.
2*w**3*(w + 1)/5
Let v = -15 - -14. Let u(l) = -4*l + 2. Let d be u(v). Factor 2 - a**3 + 3*a**3 + 0*a**3 + d*a**2 + 6*a.
2*(a + 1)**3
Let p(t) be the first derivative of t**3 + 42*t**2 + 15 - 9*t + 0*t**3 - 45*t**2. Solve p(q) = 0.
-1, 3
Let s(i) = 5*i**2 + 23*i + 45. Let r(o) = -5*o**2 - 24*o - 45. Let q(c) = 11 + 5*c + 1 - 3*c + 0*c. Let l be q(-9). Let p(f) = l*s(f) - 7*r(f). Factor p(z).
5*(z + 3)**2
Let l = -32 + 65/2. Let i = l + -1/10. Solve 6/5*r - i*r**2 - 4/5 = 0.
1, 2
Suppose -13/8*d - 5/4 - 1/4*d**2 + 1/8*d**3 = 0. Calculate d.
-2, -1, 5
Suppose 4*r = 3*q + 2, 4*r + 4*q = 10 + 6. Let i(f) be the third derivative of 0*f**3 + 0*f**4 + 6*f**r + 0*f - 1/300*f**6 + 1/150*f**5 + 0. Factor i(u).
-2*u**2*(u - 1)/5
Let d(h) = h**3 - h - 1. Let z(p) = p**3 + 3*p**2 + 2*p + 1. Let u be ((-5)/(-2))/((-13)/(-26)). Let b(y) = u*d(y) + 5*z(y). Factor b(i).
5*i*(i + 1)*(2*i + 1)
Suppose 0 = 64*x + 32*x - 288. Let q(s) be the first derivative of -4 - 1/12*s**x + 1/4*s**2 + 0*s. What is n in q(n) = 0?
0, 2
Let k(z) = z**2 - 17*z + 61. Let v be k(11). Let t be 1 + v - (-13 + 6). Factor 5/6*n - 2/3*n**2 + 1/6*n**t - 1/3.
(n - 2)*(n - 1)**2/6
Let b(j) be the first derivative of -2/9*j**3 - j**2 + 11 - 4/3*j. Let b(u) = 0. What is u?
-2, -1
Let a(i) = -i**3 - 34*i**2 - 33*i + 2. Let p be a(-33). Factor -2/11*c**5 + 0*c + 0*c**p + 0 - 2/11*c**3 + 4/11*c**4.
-2*c**3*(c - 1)**2/11
Let j(i) be the second derivative of 0 - 3/4*i**2 + 1/8*i**4 - 5*i + 0*i**3. Let j(d) = 0. What is d?
-1, 1
Let l be (-22)/(-55) - 8/(-5). Let -8/5*b**3 - 8/5*b + 2/5 + 2/5*b**4 + 12/5*b**l = 0. What is b?
1
Let m(f) be the first derivative of 5*f**3/6 - 55*f**2/2 + 605*f/2 - 274. Let m(c) = 0. Calculate c.
11
Let s(v) be the third derivative of -v**8/2016 + 17*v**7/1260 + v**6/40 + 47*v**2 - 3. Factor s(l).
-l**3*(l - 18)*(l + 1)/6
Let u(w) = w**3 - 9*w**2 + 3*w + 22. Let z be u(2). Factor 0 + 1/5*l**2 + z*l.
l**2/5
Let y(o) be the third derivative of o**6/6 - o**5/30 - 7*o**4/12 - 2*o**3/3 - 13*o**2 + o. Factor y(q).
2*(q - 1)*(2*q + 1)*(5*q + 2)
Let l(n) be the second derivative of n**5/80 + 19*n**4/48 - 11*n**3/3 + 23*n**2/2 - 123*n. Solve l(x) = 0 for x.
-23, 2
Let s(w) be the first derivative of w**6/27 - 14*w**5/15 + 11*w**4/2 + 242*w**3/27 + 127. Solve s(o) = 0.
-1, 0, 11
Solve 27/5*w**4 + 9/5*w**2 - 36/5