 l be 4/6*(-21)/(-35). Factor -12/5*s**2 - 8/5*s - l*s**t - 8/5*s**3 - 2/5.
-2*(s + 1)**4/5
Let q = -166 - -170. Let y(z) be the third derivative of 0*z**4 + 1/90*z**5 + 1/180*z**6 - q*z**2 + 0 + 0*z + 0*z**3. Find m, given that y(m) = 0.
-1, 0
Let u(q) = -33*q - 64. Let v be u(-2). Let b(p) be the second derivative of 7*p + 0 + 1/4*p**4 - 3/2*p**v - 2*p**3 + 3/5*p**5. Factor b(h).
3*(h - 1)*(h + 1)*(4*h + 1)
Let n = -49 + 53. What is h in -4*h**4 + 10*h**4 + h**3 - 9*h**n + 0*h**3 = 0?
0, 1/3
Let q(w) = 3*w - 32*w**3 + 16*w**2 + 5*w + 15*w**3 - 7. Let d(x) = -4*x**3 + 4*x**2 + 2*x - 2. Let a(m) = 9*d(m) - 2*q(m). Factor a(v).
-2*(v - 2)*(v - 1)*(v + 1)
Let d be ((-16)/(-20))/(7/10). Factor -2/7*o**2 - d*o - 6/7.
-2*(o + 1)*(o + 3)/7
Let v(s) be the third derivative of -s**7/225 - 31*s**6/225 - 94*s**5/225 + 16*s**4/45 - 2*s**2 - 19*s. What is r in v(r) = 0?
-16, -2, 0, 2/7
Let v(j) be the second derivative of 5/24*j**3 + 2 + 7/4*j**2 - 13*j - 1/48*j**4. Let v(t) = 0. What is t?
-2, 7
Let c(z) be the first derivative of 1/660*z**5 + 1/1980*z**6 - 5/3*z**3 + 0*z - 6 + 0*z**2 + 0*z**4. Let v(d) be the third derivative of c(d). Solve v(h) = 0.
-1, 0
Suppose 2*f + 3*v = 17, -16 = -393*f + 392*f - 4*v. Suppose 1/2*j**3 + 0 + 3/2*j**f - 1/2*j - 3/2*j**2 = 0. Calculate j.
-1, -1/3, 0, 1
Let z(y) be the third derivative of y**7/70 + y**6/40 - 3*y**5/10 - y**4/2 + 4*y**3 - 9*y**2 + 2. Factor z(p).
3*(p - 2)*(p - 1)*(p + 2)**2
Suppose 0 = -34*k - 41*k + 150. Determine q, given that 18*q**5 + 5445/4*q**k + 1443/2*q**3 + 183*q**4 + 1200*q + 375 = 0.
-5/2, -2, -2/3
Let m(a) = 6*a**2 - 14*a - 12. Let v(y) = -3*y**2 - y + 1. Let t be v(1). Let c(j) = 5*j**2 - 14*j - 13. Let x(q) = t*m(q) + 4*c(q). Factor x(i).
2*(i - 8)*(i + 1)
Let m(f) = -f**2 - f - 1. Let p(t) = t**2 - 2*t - 2. Let s be 10/(-4)*(-36)/45. Let r(j) = s*m(j) - p(j). Suppose r(o) = 0. Calculate o.
0
Let i(j) be the second derivative of -1/10*j**6 + 9/20*j**5 - 6*j**3 + 1/2*j**4 + 0 + 12*j**2 - 33*j. Let i(z) = 0. Calculate z.
-2, 1, 2
Let t be (-6)/12*0/2. Suppose -2*a - 17 = -2*d + 3*a, t = 5*d - 3*a - 33. Factor 7*h**4 + 3*h**5 + h**2 + h**2 - h**4 - h**5 + d*h**3.
2*h**2*(h + 1)**3
Let f = 134 - 156. Let j = -20 - f. Determine w, given that 0 + 2/3*w - 2/3*w**j = 0.
0, 1
Let c(x) be the first derivative of 8*x**3/21 - 11*x**2/7 - 6*x/7 - 4. Factor c(y).
2*(y - 3)*(4*y + 1)/7
Let z(i) = 3*i**5 - 14*i**4 - 33*i**3 - 11*i**2 + 5*i + 5. Let t(g) = g**5 + g**3 + g**2 - g - 1. Let l(y) = -5*t(y) - z(y). What is r in l(r) = 0?
-1, -1/4, 0, 3
Let u(c) be the third derivative of 2*c**6/5 - 382*c**5/5 - 767*c**4/8 - 48*c**3 + 200*c**2 - c. Solve u(s) = 0 for s.
-1/4, 96
Factor -1/5*u**5 + 27/5*u + 216/5 - 144/5*u**2 + 0*u**4 + 46/5*u**3.
-(u - 3)**3*(u + 1)*(u + 8)/5
Let x(j) = -6*j**2 - 21*j. Let h be x(-3). Let t be 3/h*(3 + -5 - -3). Find q, given that 0 - t*q**2 + 2/3*q - 1/3*q**3 = 0.
-2, 0, 1
Let g(m) be the first derivative of 2*m**5/5 - 7*m**4/6 - 14*m**3/3 - 3*m**2 - 5*m + 1. Let y(o) be the first derivative of g(o). Factor y(x).
2*(x - 3)*(x + 1)*(4*x + 1)
Let z be (-9)/(-18) + (-63)/(-2). Factor -16 - 5*c**2 + 6*c**2 + z*c - 14*c**2 - 7*c**2 + 4*c**3.
4*(c - 2)**2*(c - 1)
Let k(g) be the first derivative of g**6/1350 - g**5/180 + g**4/90 + 5*g**3 - 23. Let y(x) be the third derivative of k(x). Factor y(q).
2*(q - 2)*(2*q - 1)/15
Let v(i) be the third derivative of 5*i**7/168 + 9*i**6/16 + 829*i**5/240 + 45*i**4/8 + 25*i**3/6 + 33*i**2 - 2. Suppose v(d) = 0. Calculate d.
-5, -2/5
Determine h, given that 1/3*h**4 - 196/3 - 28/3*h + 28/3*h**3 + 65*h**2 = 0.
-14, -1, 1
Let j(t) be the second derivative of -t**6/6 - 9*t**5/10 - 17*t**4/12 + 2*t**2 - 2*t - 8. Suppose j(z) = 0. What is z?
-2, -1, 2/5
Let m(t) be the first derivative of -132*t**5/5 + 97*t**4 - 124*t**3 + 54*t**2 + 8*t + 37. Factor m(q).
-4*(q - 1)**3*(33*q + 2)
Let q(k) be the first derivative of 0*k**2 + 0*k + 0*k**3 + 5/4*k**4 - 9 + k**5. Solve q(g) = 0 for g.
-1, 0
Determine r so that -32/3*r - 40/3 - 2/3*r**2 + 2/3*r**3 = 0.
-2, 5
Let o(w) be the second derivative of w**4/36 + 8*w**3/9 + 6*w - 3. Let o(s) = 0. What is s?
-16, 0
Let f(b) be the second derivative of -3*b**5/20 + 9*b**4/2 - 54*b**3 + 324*b**2 + 123*b. Let f(n) = 0. Calculate n.
6
Let a(s) = 3*s + 17. Let i be a(-7). Let b be -2 - (-4)/16 - i. Factor -1 - b*t**2 + 3*t.
-(3*t - 2)**2/4
Let i = -60 + 60. Let t(c) be the first derivative of c**2 + c**3 - 4 + i*c - 2/5*c**5 - 3/4*c**4. Factor t(s).
-s*(s - 1)*(s + 2)*(2*s + 1)
Let k(c) = -5*c**2 + 2*c + 4. Let x(p) = 5*p**2 - 3*p - 5. Let u(z) = -2*k(z) - 3*x(z). Let i(j) = 14*j**2 - 14*j - 20. Let l(f) = 3*i(f) + 8*u(f). Factor l(g).
2*(g - 2)*(g + 1)
Let u = 46 - 33. Let f = u + -10. Determine l so that -6*l**2 + f*l**5 - 9*l**3 - l**2 + 3*l**2 - 2*l**2 = 0.
-1, 0, 2
Suppose 0 = 46*f + 27*f. Let t(n) be the first derivative of f*n**2 + 1/3*n + 6 - 1/9*n**3. Suppose t(u) = 0. Calculate u.
-1, 1
Let l(h) = -12*h**3 - 16*h**2 - 5*h. Let b(t) = -t**3 + 2*t**2 + t. Let s(d) = 4*b(d) + l(d). Suppose s(a) = 0. Calculate a.
-1/4, 0
Let a(k) be the second derivative of -1/170*k**5 + 0*k**2 + 10*k + 8/51*k**3 + 0 + 7/102*k**4. Suppose a(z) = 0. Calculate z.
-1, 0, 8
Let -3/5*m**4 + 9/5*m**2 - 51/5*m + 6 + 3*m**3 = 0. Calculate m.
-2, 1, 5
Let n = 666 - 666. Let h(m) be the second derivative of 0 + 1/50*m**6 - 1/60*m**4 + 0*m**5 + 0*m**2 - 1/105*m**7 - 5*m + n*m**3. Factor h(t).
-t**2*(t - 1)**2*(2*t + 1)/5
Let b = 27 - 22. Suppose -b = -2*v + 5. Determine c, given that -c**5 + 2*c**5 + 8*c**3 - v*c**5 - 4*c = 0.
-1, 0, 1
Let y(s) = s**2 - 3*s. Let p(r) = -5*r**2 - 87*r. Let j(v) = p(v) + 2*y(v). Find c such that j(c) = 0.
-31, 0
Factor -17*j**3 - 625/3*j + 1/3*j**4 + 225*j**2 + 0.
j*(j - 25)**2*(j - 1)/3
Let a(o) be the third derivative of o**5/12 + 5*o**4/6 - 25*o**3/6 - 6*o**2 - 2*o. Factor a(t).
5*(t - 1)*(t + 5)
Let t(p) = p**3 + 6*p**2 + 7*p - 1. Let j be t(-4). Let w(y) be the first derivative of -j*y - 1/9*y**3 + y**2 - 5. Factor w(n).
-(n - 3)**2/3
Suppose 4*j + 0*j = -2*i + 6, 3*j - 15 = -5*i. Let c be (-112)/(-280)*(4 - (-21)/(-9)). Let -4/3*h**3 - c*h**2 + j + 2*h = 0. What is h?
-3/2, 0, 1
Let m = -19 - -24. Let -s**5 - 7*s**3 - 6*s**5 + 4*s**m + 10*s**3 = 0. Calculate s.
-1, 0, 1
Let p(c) be the first derivative of -19 + 25/6*c**4 + 32/15*c**5 + 7/3*c**2 + 4/9*c**6 + 38/9*c**3 + 2/3*c. Determine s, given that p(s) = 0.
-1, -1/2
Let d be 14/(-2) - (-192 - -181). Factor -9/7*z**2 + 6/7 + 3/7*z - 3/7*z**3 + 3/7*z**d.
3*(z - 2)*(z - 1)*(z + 1)**2/7
Let g(q) be the first derivative of q**8/3528 + q**7/2205 - q**6/1260 - q**5/630 + 13*q**2/2 - 7. Let j(c) be the second derivative of g(c). Solve j(y) = 0.
-1, 0, 1
Find u, given that -7*u**3 + 16*u**3 + 75*u - 6*u**3 - 36 - 42*u**2 = 0.
1, 12
Factor 3*k**2 + 18*k**3 + 10 - 18 + 22*k - 41*k**2 + 6.
2*(k - 1)**2*(9*k - 1)
Solve -4/3 - 38/3*x + 20/3*x**2 = 0.
-1/10, 2
Let s = 32 - 27. Factor -r + s*r**2 - 6*r + 2*r.
5*r*(r - 1)
Let q(l) be the second derivative of -5/12*l**4 + 0 + 1/6*l**6 + 5/14*l**7 - 3/4*l**5 + 0*l**2 + 12*l + 0*l**3. Determine p, given that q(p) = 0.
-1, -1/3, 0, 1
Suppose 2*u + 900 = 11*u. Factor -47*v - 66*v**2 + 7*v - u + 62*v**2.
-4*(v + 5)**2
Let b(x) = -9*x**3 - 42*x**2 - 141*x + 18. Let h(a) = -a**3 - a + 3. Let y(g) = -b(g) + 6*h(g). Factor y(q).
3*q*(q + 5)*(q + 9)
Let l = 3359747/607 + -5535. Let y = 4862/1821 - l. Solve 2/3*h**4 + y*h**3 + 8/3*h + 4*h**2 + 2/3 = 0.
-1
Let c(i) be the first derivative of -2*i**7/315 + i**6/18 - 4*i**5/45 - i**2 - 28. Let g(x) be the second derivative of c(x). Find f, given that g(f) = 0.
0, 1, 4
Let y(a) = a - 1. Let w(j) be the first derivative of -2*j**3/3 - 13*j**2/2 - 3*j + 10. Let g(d) = 2*w(d) + 10*y(d). Determine x, given that g(x) = 0.
-2
Let x = 9074 + -9074. Determine w so that -2/3*w**4 + x*w + 0 + 8*w**3 - 24*w**2 = 0.
0, 6
Let s be (-3 - 0)/(9/(-2)). Let t be 235/(-188) + (-34)/(-40) - 196/(-315). Factor s*h + 0 - t*h**2.
-2*h*(h - 3)/9
Let l be 16/12*(-12)/(-8). Solve 15*q - 4*q**l + 4*q**3 - 19*q + 8*q**4 - 4*q**4 = 0 for q.
-1, 0, 1
Let o(a) be the first derivative of a**7/42 - a**6/4 + 13*a**5/12 - 5*a**4/2 + 10*a**3/3 - 5*a**2/2 + 1. Let x(k) be the second derivative of o(k). Factor x(n)