52 + 2*p**7/105 + 7*p**6/90 - 7*p**5/45 - p**4 - 16*p**3/9 - 24*p**2 - 13. Suppose n(s) = 0. What is s?
-1, 2, 4
Let p(v) be the third derivative of 1/90*v**6 - 1/36*v**4 + 0*v + 0*v**7 + 0*v**5 + 0 - 1/504*v**8 + 0*v**3 + 8*v**2. Factor p(d).
-2*d*(d - 1)**2*(d + 1)**2/3
Suppose x - 53 = 2. Factor -x*w**4 + 3*w**5 + w**2 + 8*w**3 + 15*w**2 + 48*w**4 - 2*w**5.
w**2*(w - 4)**2*(w + 1)
Let r = 148 - 148. What is h in 8*h - 2*h**4 + 8*h**3 - 2 - 9*h**2 + r*h**2 - 3*h**2 = 0?
1
Let j(q) be the first derivative of 2/7*q**2 + 2/5*q**5 + 0*q - 3/14*q**4 - 2/7*q**3 - 1/7*q**6 + 5. Determine g so that j(g) = 0.
-2/3, 0, 1
Let q = -564 - -564. Let b(m) be the third derivative of -5/156*m**4 + 1/39*m**3 + q + 0*m + 7/390*m**5 - 6*m**2 - 1/260*m**6. Let b(l) = 0. What is l?
1/3, 1
Let a(g) be the second derivative of g**6/60 - 7*g**5/20 - g + 27. Find t, given that a(t) = 0.
0, 14
Let j(g) be the third derivative of 0*g**3 - 5/6*g**4 + 0*g + 0 + 1/30*g**5 + 27*g**2. Suppose j(y) = 0. What is y?
0, 10
Let r(t) = 64*t - 1472. Let o be r(23). Find w such that 0 + 2/3*w**4 - 8/3*w**2 - 2*w**3 + o*w = 0.
-1, 0, 4
Let j(f) = 1669*f + 10019. Let g be j(-6). Find t such that 3/2*t**2 - 4 + g*t = 0.
-4, 2/3
Let w(l) be the first derivative of -2*l**3/3 - 7*l**2 - 24*l - 45. Suppose w(x) = 0. Calculate x.
-4, -3
Suppose -4*m + 59 = 3*c, 3*c + m + 2*m = 60. Let s be 1*(-2 - c/(-3)). Factor -13*r**4 + r**4 - 12*r**3 - 16*r**5 + 13*r**s.
-3*r**3*(r + 2)**2
Let i(x) be the second derivative of -2*x**2 + 0 + 4*x + 0*x**4 - 1/90*x**5 + 1/9*x**3. Let z(h) be the first derivative of i(h). Solve z(p) = 0 for p.
-1, 1
Let r(u) be the third derivative of u**6/120 - u**5/30 - 5*u**4/6 - 4*u**3 + 57*u**2. Determine m, given that r(m) = 0.
-2, 6
Let c(r) = r**4 + 8*r**3 + 18*r**2 + 28*r + 5. Let j(k) = -2*k**4 - 16*k**3 - 35*k**2 - 57*k - 9. Let m(p) = 9*c(p) + 4*j(p). Factor m(a).
(a + 1)**2*(a + 3)**2
Let z = -72 + 363/5. Let g(m) be the first derivative of z*m**5 - 2*m**3 - 3/2*m**2 - 5 - 1/2*m**6 + 3/2*m**4 + 3*m. Find a such that g(a) = 0.
-1, 1
Let o(k) be the first derivative of 1 + 1/300*k**6 - 2*k**2 - 1/60*k**4 + 1/15*k**3 - 1/150*k**5 + 0*k. Let a(r) be the second derivative of o(r). Factor a(h).
2*(h - 1)**2*(h + 1)/5
Let j = 9745/48 + -203. Let x(p) be the second derivative of j*p**4 + 4*p + 1/8*p**2 - 1/12*p**3 + 0. Suppose x(r) = 0. What is r?
1
Let j(v) be the third derivative of 4*v**3 + 0 + 7/6*v**4 + 8/45*v**5 + 1/90*v**6 - 8*v**2 + 0*v. Factor j(w).
4*(w + 2)*(w + 3)**2/3
Let d(j) be the first derivative of j**5/140 - 7*j**2/2 - 1. Let g(a) be the second derivative of d(a). Factor g(k).
3*k**2/7
Let f(v) = -52*v - 3430. Let x be f(-66). Solve 0 + 4/5*c**x - 4/5*c = 0 for c.
0, 1
Suppose 4*y - 26 - 32 = -3*f, 5*f = -2*y + 22. Let g = y - 10. Factor -6 + 4*u + g*u - u - 3*u**2.
-3*(u - 2)*(u - 1)
Let f be (-25)/(1350/(-12))*3. Suppose -f*v**4 + 0 + 0*v - v**3 - 1/3*v**2 = 0. What is v?
-1, -1/2, 0
Let u(q) = -47*q - 1829. Let c be u(-39). Factor -3*i**2 + 0 - 3/5*i**c - 6/5*i - 12/5*i**3.
-3*i*(i + 1)**2*(i + 2)/5
Let m(n) = 20*n**2 - 155*n - 40. Suppose -13 + 10 = -v. Let o(d) = -20*d**2 + 155*d + 40. Let i(x) = v*m(x) + 2*o(x). Determine w, given that i(w) = 0.
-1/4, 8
Let t(u) = 2*u**2 - u + 1. Let j(n) = -3*n**3 + 1521*n**2 - 245043*n + 13476393. Let h(p) = -j(p) + 18*t(p). Factor h(s).
3*(s - 165)**3
Let s = -23 + 24. Let y be (-4 + -1)*s/(-90)*4. Factor y*t**3 + 2/9 - 2/9*t**2 - 2/9*t.
2*(t - 1)**2*(t + 1)/9
Let y = -225 + 5401/24. Let v(t) be the third derivative of 1/12*t**3 + 1/120*t**5 + y*t**4 + 0 + 0*t - 5*t**2. Find n, given that v(n) = 0.
-1
Let m(u) be the third derivative of u**7/3360 - u**6/960 - u**5/80 + u**4/24 - 21*u**2. Let d(j) be the second derivative of m(j). Factor d(n).
3*(n - 2)*(n + 1)/4
Suppose 24 - 4*w**2 - 6*w**3 - 4*w**3 + 8*w**3 + 22*w = 0. Calculate w.
-4, -1, 3
Let q(o) = o**3 + 5*o**2 + 4*o + 2. Let v(p) = -p**3 + 8*p**2 + 10*p - 13. Let z be v(9). Let b be q(z). Factor -3*m**3 - m**3 + b*m**3 - m + 3*m.
-2*m*(m - 1)*(m + 1)
Let a(n) be the second derivative of n**5/40 - 7*n**3/12 + 3*n**2/2 - 37*n + 3. Determine h, given that a(h) = 0.
-3, 1, 2
Suppose 11 = 6*h - 49. Suppose 5*u = h, -5*k - u = u - 4. Let -4/7*g**2 + k + 0*g - 2/7*g**3 = 0. Calculate g.
-2, 0
Factor -79*j**2 + 10*j + 74*j**2 + 9 - 14.
-5*(j - 1)**2
Solve -11*z - 4*z**3 + 71*z + 2*z**2 - 20*z + 10*z**2 = 0.
-2, 0, 5
Let k(i) be the first derivative of 28 + i**5 + 0*i**3 - 5/2*i**4 + 0*i + 0*i**2 + 5/6*i**6. Solve k(p) = 0.
-2, 0, 1
Let b(x) = -52*x**2 - 19*x - 1. Let k(d) = -51*d**2 - 22*d - 2. Let m(j) = 2*b(j) - 3*k(j). Solve m(o) = 0 for o.
-2/7
Let o(m) = -m**3 + 11*m**2 + 16*m + 12. Let k(v) = 12*v**2 + 18*v + 12. Let d(g) = -4*k(g) + 3*o(g). Let d(q) = 0. What is q?
-2, -1
Let j(f) = -53*f**2 - 33*f + 9. Let i(x) = 28*x**2 + 17*x - 5. Let v(n) = -11*i(n) - 6*j(n). Factor v(y).
(y + 1)*(10*y + 1)
Let c be 2160/324*(0 + (-3)/(-4)). Let w(k) be the second derivative of 2*k + 3*k**4 - 9*k**3 + 0 - 1/2*k**c + 27/2*k**2 + 1/30*k**6. What is a in w(a) = 0?
1, 3
Suppose -4 = -2*t - l, -3*t = -11*l + 13*l - 5. Let -8/11*o**2 - 8/11*o + 0 - 2/11*o**t = 0. What is o?
-2, 0
Let r(i) = 2*i**2 - 12*i + 13. Let d be r(6). Suppose 8*j + d*j = 0. Suppose -2/7*f**5 + 2/7*f**3 + 2/7*f**2 - 2/7*f**4 + 0*f + j = 0. Calculate f.
-1, 0, 1
Let k(i) be the first derivative of -i**8/1260 + i**7/315 - i**6/270 - i**3/3 + 43*i**2/2 - 50. Let z(v) be the third derivative of k(v). Factor z(b).
-4*b**2*(b - 1)**2/3
Let u(l) = -l - 5. Let v be u(-11). Suppose -v*m = -155 + 11. What is j in -13*j**3 - 4 - j - 48*j**2 - 9*j**3 - m*j - 5*j = 0?
-1, -2/11
Let c = -4389 - -21946/5. Factor -1/5*k**2 + 2/5 - c*k.
-(k - 1)*(k + 2)/5
Let b(c) = -6*c**4 - 45*c**3 - 21*c**2 + 60*c + 21. Let m(l) = l**4 + 9*l**3 + 4*l**2 - 12*l - 4. Let w(i) = 4*b(i) + 21*m(i). Factor w(a).
-3*a*(a - 2)**2*(a + 1)
Let f(j) be the third derivative of -1/360*j**5 + 0 - 1/48*j**4 + 0*j**3 - 5*j**2 + 0*j. Suppose f(u) = 0. What is u?
-3, 0
Let u(c) be the third derivative of -c**8/392 - 2*c**7/735 + c**6/105 + c**5/105 - c**4/84 - 4*c**2 - 7. What is t in u(t) = 0?
-1, 0, 1/3, 1
Let l(c) = c**4 - 2*c**3 + 2*c**2 - 1. Let r(o) = -o**5 + 10*o**3 - 6*o**2 - 3. Let i(h) = 12*l(h) - 4*r(h). Find s, given that i(s) = 0.
-6, 0, 1, 2
Let w(j) be the second derivative of -j**4/108 - 2*j**3/27 + 7*j**2/6 + 118*j. Factor w(x).
-(x - 3)*(x + 7)/9
Let i = 9393 + -28178/3. Let 8/3 + i*h**2 + 3*h = 0. Calculate h.
-8, -1
Let h(z) = 7*z**2 + 164*z + 165. Let i(l) = -2*l**2 - 54*l - 55. Let n(j) = 3*h(j) + 8*i(j). Factor n(k).
5*(k + 1)*(k + 11)
Let p(x) = x**3 + 7*x**2 + 7. Let h be p(-7). Suppose -h*r - 16 = -9*r. Factor 3*u**2 + u**4 + 0*u**4 - 2*u**2 + 10*u**3 - r*u**3.
u**2*(u + 1)**2
Suppose -5*b + 39 = 4*d, -5*d + 10 = 3*b - 29. Find n, given that -4/5*n**4 + 4/5*n**5 + 0 - 4/5*n**b + 4/5*n**2 + 0*n = 0.
-1, 0, 1
Suppose 2*x = -c + 4, -x + 3*c = 5*c + 1. Factor 4*z**2 - 3*z**2 - x*z**2 + 6*z - 4.
-2*(z - 2)*(z - 1)
Let z(m) = -m**3 + 8*m**2 - 7*m. Let j = 70 - 63. Let g be z(j). Solve 3/5*u**3 + 0*u - 6/5*u**2 + g = 0 for u.
0, 2
Let c(s) = -s**4 + s**3 + s + 3. Let t(p) = 25*p**4 - 19*p**3 - 90*p**2 + 56*p + 12. Let q(a) = -4*c(a) - t(a). Find k such that q(k) = 0.
-2, -2/7, 1, 2
Suppose 2*c + 2 - 4 = 0. Suppose 3*d - c = 5. Factor 0*p - 3 + 3 - 3*p**d + 3*p.
-3*p*(p - 1)
Let f(h) be the third derivative of -h**7/735 + h**6/28 - 8*h**5/35 - 16*h**4/21 - 5*h**2 - 2*h. Suppose f(y) = 0. What is y?
-1, 0, 8
Suppose g = -g + 6. Let n = 8 - g. Factor -8*a**3 - 4*a**2 + 2*a**2 - 5*a**n - 3*a**3 + 2*a**3 - 12*a**4.
-a**2*(a + 1)**2*(5*a + 2)
Let r(c) be the third derivative of -c**5/510 - c**4/102 - c**3/51 + 4*c**2 + 4. Solve r(t) = 0 for t.
-1
Let u(q) be the second derivative of q**4/3 + 2*q**3/3 + 7*q - 5. Determine j so that u(j) = 0.
-1, 0
Let a = 7/68 + 331/748. Factor -a*x**3 + 0 + 2/11*x - 4/11*x**2.
-2*x*(x + 1)*(3*x - 1)/11
Let b(v) be the second derivative of 0*v**2 + 1/3*v**3 + 1/10*v**5 + 0 - 1/3*v**4 - 5*v. Factor b(a).
2*a*(a - 1)**2
Determine w so that -7/2 - 1/8*w**2 + 29/8*w = 0.
1, 28
Find s, given that -24/5 - 3/5*s**4 - 21/5*s**3 - 54/5*s**2 - 12*s = 0.
-2, -1
Suppose 4*k + 0*y - 5*y - 25 = 0, -2*k - 3*y 