3 = 0. Calculate t.
-22, 2/3, 3
Let x(z) = -23*z**4 + 267*z**3 - 520*z**2 + 266*z + 5. Let n(s) = -10*s**4 + 134*s**3 - 260*s**2 + 132*s + 2. Let g(i) = -5*n(i) + 2*x(i). Factor g(a).
4*a*(a - 32)*(a - 1)**2
Let p(a) be the second derivative of -a**7/14 + 2*a**6/3 + a**5/2 - 5*a**4/3 - 7*a**3/6 - 2*a - 11. Determine t, given that p(t) = 0.
-1, -1/3, 0, 1, 7
Suppose 0 = -8*a + 327 - 231. Suppose -9 = p + 3*q, 2*p + 3*p - 45 = 3*q. Factor 20*k + p*k**4 - 1 - 76*k**5 + a*k**5 + 20*k**2 - 3 - 166*k**4 - 100*k**3.
-4*(k + 1)**3*(4*k - 1)**2
Let i(q) = 2*q**2 - 2. Let g be i(-2). Let c(x) = 2*x**3 + 11*x**2 - 3. Let u(s) = 3*s**3 + 11*s**2 + s - 3. Let k(j) = g*c(j) - 5*u(j). Factor k(n).
-(n - 3)*(n - 1)*(3*n + 1)
Let x(c) be the first derivative of c**4/36 + c**3/6 - 2*c**2/3 - 10*c - 7. Let l(p) be the first derivative of x(p). Factor l(s).
(s - 1)*(s + 4)/3
Let o(w) be the third derivative of w**7/1050 + w**6/60 + 7*w**5/75 + w**4/20 - 3*w**3/2 - 152*w**2. Determine d so that o(d) = 0.
-5, -3, 1
Suppose -49 = 8*r + 135. Let o = -21 - r. Determine x so that -12/7*x**o + 0 - 2/7*x - 10/7*x**3 = 0.
-1, -1/5, 0
Let y(v) be the first derivative of -7*v**6/8 + 141*v**5/20 - 21*v**4/4 - 59*v**3 + 60*v**2 + 48*v - 339. Find i such that y(i) = 0.
-2, -2/7, 1, 4
Let h(x) = x - 1. Let p = 22 + -16. Let z(m) = -14*m - 17*m + 3*m + 10 + p*m - 4*m**2. Let y(r) = 10*h(r) + z(r). Suppose y(u) = 0. What is u?
-3, 0
Solve -2*g**3 - 68*g**2 + 65*g**5 + 6*g**3 - 32 - 21*g + 67*g**5 - 128*g**5 - 67*g + 20*g**4 = 0.
-4, -1, 2
Suppose 137*j**2 - 9*j**4 + 15*j**3 - 61*j**2 - 15*j**5 - 67*j**2 = 0. Calculate j.
-1, -3/5, 0, 1
What is x in -3/5*x**3 + 57/5*x - 48/5*x**2 + 102/5 = 0?
-17, -1, 2
Suppose 21*l = 23*l - 4. Determine a, given that 5*a**l + 2 + 9*a - 12 - 4*a = 0.
-2, 1
Let v be -4 - (888/(-96) + (0 - -5)). Let c(l) be the second derivative of -v*l**4 + 2*l**2 - 7*l + 0 + 2/3*l**3. Factor c(i).
-(i - 2)*(3*i + 2)
Suppose 0 = -4*h + 3*v + 20, 4*v + 31 = 4*h + 7. Factor 4*d**2 - 3*d**h - 6*d - 4 - d**2 - 2*d**2.
-2*(d + 1)*(d + 2)
Let o be 3 + 2 + -4 + 14. Let k be 22/o*((-23)/(-2) + 5). Factor 4/5 + k*w**2 + 44/5*w.
(11*w + 2)**2/5
Suppose -5*a - 310 = -5*n, 8*a + n = 3*a - 286. Let b = a - -117/2. Factor -1/4*h**3 + h**2 + b - 5/4*h.
-(h - 2)*(h - 1)**2/4
Let v = -2790 - -19532/7. Suppose -2*y = 3*x + y + 3, 3*x - 18 = 4*y. Determine a, given that 0*a**x + 0 + v*a - 2/7*a**3 = 0.
-1, 0, 1
Let x(d) = -d**2 - 13*d - 20. Let p = -70 + 59. Let t be x(p). Factor -2/5*r**t - 2/5 + 4/5*r.
-2*(r - 1)**2/5
Let i = 116 + -81. Let p = -14 + i. Solve -21 - g**2 + g**4 + p = 0.
-1, 0, 1
Let j be ((-444)/(-12))/(((-297)/6)/(-9)). Solve j*y**3 - 62/11*y**2 + 12/11*y + 0 - 14/11*y**5 - 10/11*y**4 = 0 for y.
-3, 0, 2/7, 1
Let t(s) = s**4 - s**3 + s. Let k(j) = 10*j**4 + 30*j**3 + 30*j**2 - 135*j - 200. Let i(h) = k(h) - 5*t(h). Factor i(o).
5*(o - 2)*(o + 2)**2*(o + 5)
Determine s so that -20*s**3 + 36*s**3 + s - 11*s - 9*s**3 + 33*s**2 = 0.
-5, 0, 2/7
Suppose -1/2*g**3 - 17/2*g**2 + 0 - 15*g = 0. What is g?
-15, -2, 0
Let o = 463/4653 - -6/517. Let t(b) be the first derivative of -9 - 1/54*b**6 + 0*b + 4/45*b**5 + 0*b**2 - o*b**4 + 0*b**3. Solve t(q) = 0.
0, 2
Let y = 21545/24 - 7155/8. Solve y*w**3 - 52/3*w - 16/3 - 26/3*w**2 = 0 for w.
-1, -2/5, 4
Determine m, given that -3/5*m**4 + 6/5 - 31/5*m**2 + m + 23/5*m**3 = 0.
-1/3, 1, 6
Let g(j) = -j**3 + 7*j**2 - 7*j - 11. Let x(n) = -2*n**3 + 15*n**2 - 16*n - 23. Let s(f) = 10*g(f) - 4*x(f). Factor s(o).
-2*(o - 3)**2*(o + 1)
Suppose 30*m - 34*m = 0. Let n(b) be the second derivative of 0 + 11*b + 0*b**3 + 1/21*b**4 - 2/105*b**6 + m*b**2 + 0*b**5. Find g, given that n(g) = 0.
-1, 0, 1
Let m(x) be the second derivative of x**4/42 + 22*x**3/21 + 121*x**2/7 + 32*x. Factor m(i).
2*(i + 11)**2/7
Let m(j) be the second derivative of -j**4/8 + j**3/8 + 9*j**2/4 + 215*j. Factor m(q).
-3*(q - 2)*(2*q + 3)/4
Factor -1/10*p**2 + 0 + 9/5*p.
-p*(p - 18)/10
Let w(a) be the third derivative of -67*a**5/60 - 71*a**4/24 - 2*a**3/3 + 12*a**2 + 19. Factor w(v).
-(v + 1)*(67*v + 4)
Let h = 15 + -10. Factor 7*f**5 + f**5 - 4*f**h - 4*f**4 + 0*f**5.
4*f**4*(f - 1)
Let a(u) = -u**3 + 11*u**2 + 4*u - 26. Let t be a(11). Suppose -2*m - 4*r + 2*r = -14, 4*m = -2*r + t. Suppose 2/7*f**3 + 2/7*f + 0 - 4/7*f**m = 0. Calculate f.
0, 1
Let i(g) be the first derivative of -5*g**6/6 + 11*g**5 - 25*g**4/2 - 530*g**3/3 - 665*g**2/2 - 245*g - 81. What is s in i(s) = 0?
-1, 7
Let p(u) = -3*u**3 + 6*u**2 + 12*u + 4. Let q(j) = j**3 + j**2 + j - 1. Let c(n) = -p(n) - 4*q(n). Factor c(f).
-f*(f + 2)*(f + 8)
Let v(k) be the third derivative of -k**8/5040 + k**7/1260 - 17*k**5/60 + 27*k**2. Let r(x) be the third derivative of v(x). Factor r(o).
-4*o*(o - 1)
Factor 4*u**4 + 401*u**3 - 4*u - 388*u**3 - 4*u**4 + 8 - 3*u**4 - 14*u**2.
-(u - 2)**2*(u - 1)*(3*u + 2)
Let k(r) = 15*r**4 + 6*r**3 - 159*r**2 - 81*r + 219. Let i(y) = 3*y**4 + y**3 - 32*y**2 - 16*y + 44. Let u(w) = 21*i(w) - 4*k(w). Solve u(m) = 0.
-2, 1, 4
Suppose 0 = 2*n - 4 - 0. Find u, given that -2*u + 9*u**n - 37 + 53 - 18*u - u**3 - 4*u = 0.
1, 4
Suppose 3*c - 6*c - 2*g = -11, -c - 3*g = 1. Let h(d) = -170*d**2 + 20*d + 15. Let a(m) = m**2 + m + 1. Let k(j) = c*a(j) - h(j). Suppose k(t) = 0. Calculate t.
-1/5, 2/7
Let i(k) be the third derivative of 0*k + 0 - 1/2*k**4 - 3*k**3 - 1/30*k**5 - 11*k**2. Factor i(y).
-2*(y + 3)**2
Let j(p) = 2*p - 30. Let m be j(12). Let u be ((15/(-25))/(m/20))/12. Let -u*d**2 - 2/3*d - 2/3 = 0. What is d?
-2
Suppose -6*d + 69 = 21. Suppose 32*c = 28*c + d. Solve 1/2 - 1/4*b**3 + 1/4*b - 5/4*b**c + 3/4*b**4 = 0.
-1, -2/3, 1
Let p = 3867 - 3865. Determine o so that 1/3*o**3 + 0*o**p - 1/6*o**5 + 0*o**4 - 1/6*o + 0 = 0.
-1, 0, 1
Factor -75/7*v + 12/7*v**3 + 24/7 - 87/7*v**2.
3*(v - 8)*(v + 1)*(4*v - 1)/7
Let q(l) = l**3 + l**2 + l. Let r(h) = -21*h + 6*h**2 - 3*h**2 + 3*h**3 + 12*h + 6. Let b(i) = -q(i) + r(i). Factor b(t).
2*(t - 1)**2*(t + 3)
Suppose 5*c - 30 = 3*z, 0 = -2*c + 2*z - 4*z - 4. Let l(k) be the first derivative of -4/7*k**c - 6 + 1/14*k**4 + 9/7*k**2 + 0*k. Find g, given that l(g) = 0.
0, 3
Suppose -4*v = 2*x - 11 - 13, -4*x + 28 = 4*v. Let p**x + p**2 + p + p**5 - 30 + p**3 - 3*p**3 + 29 - p**4 = 0. Calculate p.
-1, 1
Let r(o) = -2*o**2 + 216*o + 12324. Let h(a) = -3*a**2 + 434*a + 24647. Let l(q) = 3*h(q) - 5*r(q). Factor l(g).
(g + 111)**2
Let c(x) be the third derivative of x**7/126 + x**6/18 + x**5/36 - 5*x**4/12 + 13*x**2 - 3. Factor c(s).
5*s*(s - 1)*(s + 2)*(s + 3)/3
Let u(b) = -b**2 + b. Let c(y) = 4*y**3 - 46*y**2 + 158*y - 180. Let x(w) = -c(w) + 2*u(w). Solve x(o) = 0 for o.
3, 5
Let k(j) be the third derivative of j**6/40 + 2*j**5/5 + 19*j**4/8 + 6*j**3 + 735*j**2. Determine h, given that k(h) = 0.
-4, -3, -1
Let h(m) be the third derivative of m**6/60 + 19*m**5/30 + 20*m**4/3 - 100*m**3/3 + 763*m**2. Factor h(b).
2*(b - 1)*(b + 10)**2
Factor 0 + 1/12*k**2 - 1/12*k.
k*(k - 1)/12
Let r(j) be the first derivative of -j + 1/4*j**4 + 0*j**3 - 1/20*j**5 - 2*j**2 + 3. Let y(s) be the first derivative of r(s). Find v such that y(v) = 0.
-1, 2
Suppose 4*n - 24 = -2*n. Suppose -2*s = -3*s + n*s. Solve s*l + 0 + 1/4*l**2 + 1/4*l**3 = 0.
-1, 0
Let u(h) be the third derivative of -h**6/60 - 14*h**5/15 - 9*h**4/4 - 195*h**2. Find m, given that u(m) = 0.
-27, -1, 0
Let y(h) be the second derivative of 5/4*h**2 + 0 + 5/24*h**4 + 2*h - 5/6*h**3. Factor y(v).
5*(v - 1)**2/2
Let i(k) be the first derivative of 17/4*k**3 - 15/4*k**4 - 3/2*k + 15/8*k**2 + 2. Find p, given that i(p) = 0.
-2/5, 1/4, 1
Let t(z) be the third derivative of z**8/2184 - z**6/260 + z**5/195 + z**2 - 4*z. Determine s so that t(s) = 0.
-2, 0, 1
Solve -25/6*z - 9 + 1/6*z**2 = 0.
-2, 27
Suppose 5*l + 10 = 7*g - 3*g, -5*l + g = -5. Factor 6/5*a + 0 - 1/5*a**l.
-a*(a - 6)/5
Factor 396236 - 15*n + 2*n**3 - 13*n + 2*n**2 - 396284.
2*(n - 4)*(n + 2)*(n + 3)
Find o, given that 0 + 2/13*o**3 - 34/13*o**2 + 32/13*o = 0.
0, 1, 16
Factor -5289/5*z - 5547/5 + 51*z**2 - 3/5*z**3.
-3*(z - 43)**2*(z + 1)/5
Let o be (-7 - -4)*(-6)/9. Factor 65*f**4 - 10*f**o - 15 - 18*f**3 + 5*f - 42*f**3 + 35*f - 20*f**5.
-5*(f - 1)**4*(4*f + 3)
Let z be -6*(0 - 4/36). Suppose 11*n = 7*n. Determine s so that 0 + 2/3*s**3 + n*s*