t z(f) be the third derivative of u(f). Suppose z(s) = 0. What is s?
-1, 0, 1
Solve -180*a + 180*a**3 - 10797/2*a**2 - 3/2*a**4 + 5400 = 0 for a.
-1, 1, 60
Suppose 0 = -3*x + 12, 20*v - 24*v - 4 = -x. Let s(o) be the third derivative of 2/3*o**3 + 1/6*o**5 + 7/12*o**4 + 0*o - o**2 + v. Suppose s(q) = 0. What is q?
-1, -2/5
Let i(c) be the second derivative of 2*c**6/165 - 7*c**5/110 - c**4/33 + 13*c**3/33 + 6*c**2/11 + 2*c + 37. Let i(l) = 0. Calculate l.
-1, -1/2, 2, 3
Let j be (-8 + 12/2)/(-1). Let a(c) be the second derivative of 0 - 1/66*c**4 + 3/11*c**j - 5*c - 2/33*c**3. Factor a(v).
-2*(v - 1)*(v + 3)/11
Let i(m) be the first derivative of 3*m**4/4 - m**3 - 3*m**2/2 + 3*m - 100. Factor i(a).
3*(a - 1)**2*(a + 1)
Let i(w) be the third derivative of w**5/66 - 29*w**4/66 - 8*w**3/11 + 114*w**2. Determine q so that i(q) = 0.
-2/5, 12
Let q be (9 - 3) + (-168)/32. Let y(k) be the first derivative of 2*k**2 + 0*k - q*k**4 + 0*k**3 - 1 - 1/5*k**5. Factor y(j).
-j*(j - 1)*(j + 2)**2
Let r(x) be the third derivative of 49*x**5/390 - 21*x**4/13 + 108*x**3/13 - 26*x**2. Let r(v) = 0. Calculate v.
18/7
Let k(d) = -2*d**3 + 5*d**2 + 9. Let h be k(3). Let m(n) be the third derivative of h*n - 2/3*n**3 + 7*n**2 + 1/6*n**4 + 0 + 1/3*n**5 + 1/10*n**6. Factor m(u).
4*(u + 1)**2*(3*u - 1)
Let -3/4*q**2 + 0 - 51/4*q = 0. What is q?
-17, 0
Let k be 3 - (9364/(-112) + 3). Let y = k + -331/4. Factor -10/7*i**2 + 0 - y*i + 2/7*i**4 - 2/7*i**3.
2*i*(i - 3)*(i + 1)**2/7
Let m = 17782 + -17779. Let v = -198 + 2182/11. Factor -10/11*o**m + v + 18/11*o**2 + 2/11*o**4 - 14/11*o.
2*(o - 2)*(o - 1)**3/11
Let x(s) be the third derivative of s**7/70 - s**6/8 + 3*s**5/10 + s**4/2 - 4*s**3 + 12*s**2 + 15*s. Factor x(b).
3*(b - 2)**3*(b + 1)
Let x(v) = v**3 + v**2 - v + 1. Let s(a) = 4*a**3 + 108*a**2 - 1254*a - 1346. Let j(q) = s(q) - 6*x(q). What is r in j(r) = 0?
-1, 26
Let f = 23/150 + 1/75. Suppose 3*q + 60 = 66. Find u, given that f*u**q + 8/3 + 4/3*u = 0.
-4
Let o(y) be the third derivative of 0*y**4 + 20*y**2 + 1/1575*y**7 + 0*y**5 + 0 + 0*y**3 - 1/2520*y**8 + 0*y + 1/450*y**6. Factor o(t).
-2*t**3*(t - 2)*(t + 1)/15
Let z be 6/(12/(-2)) + 5. Suppose z*o - 20 = -4*g, o - g - 2*g = -7. Factor -1/3*w**4 - 3*w**o + 7/3*w + 5/3*w**3 - 2/3.
-(w - 2)*(w - 1)**3/3
Suppose 9*r + 38 = 20. Let f be (r/5 - 3) + 5. Determine q so that -1/5*q**3 + f - 12/5*q + 6/5*q**2 = 0.
2
Let v(g) = -7. Let k(u) = -1. Let b(x) = -6*k(x) + v(x). Let t(m) = 4*m**2 - 5*m - 3. Let s(j) = -3*b(j) - t(j). Factor s(a).
-(a - 2)*(4*a + 3)
Suppose -20/3*l - 50 - 2/9*l**2 = 0. What is l?
-15
Let z(j) be the second derivative of -j**7/231 + 2*j**6/55 + j**5/55 - 2*j**4/11 - j**3/33 + 6*j**2/11 - 5*j - 1. Solve z(c) = 0.
-1, 1, 6
Let f(u) be the third derivative of 0 + 1/10*u**6 + 0*u**3 + 0*u**4 - 3/56*u**8 + 0*u + 9*u**2 + 5/21*u**7 + 0*u**5. Suppose f(s) = 0. What is s?
-2/9, 0, 3
Let z(j) = -66*j - 393. Let m be z(-6). Suppose -2/3*s**m - 2/3*s**4 + 2/3*s + 2/3*s**2 + 0 = 0. What is s?
-1, 0, 1
Let w(c) be the third derivative of c**7/525 + c**6/300 - 2*c**5/25 - 24*c**2. Factor w(k).
2*k**2*(k - 3)*(k + 4)/5
Let h be 1/1*(-11 - -8). Let n(m) be the first derivative of m**3/3 + m**2/2 - 17*m + 1. Let r(g) = 9. Let y(o) = h*n(o) - 5*r(o). Find k, given that y(k) = 0.
-2, 1
Suppose -q - 4*b = 3*q - 28, -q = 3*b - 13. Solve -2*i**q + i - i**3 - 11 + 3*i**2 + 4 + 6 = 0.
-1, 1/2, 1
Let j(o) be the second derivative of 3*o**4/16 - 11*o**3/12 + o**2 + 101*o. Factor j(l).
(l - 2)*(9*l - 4)/4
Let p(c) be the second derivative of 1/6*c**6 + 0*c**3 + 5/2*c**5 + 125/12*c**4 + 0*c**2 + 0 + 19*c. Factor p(o).
5*o**2*(o + 5)**2
Let g be ((-12)/56)/(3/(-2)). Suppose 0 = d + 2*y - 4, -3*d + 3*y + 135 = 123. Factor 0*v - 2/7*v**2 + 3/7*v**3 - g*v**d + 0.
-v**2*(v - 2)*(v - 1)/7
Let q be 1*(3 + -4) - -10. Suppose 0 = q*b - 8*b - 5. Find y, given that y**5 - 3*y**b - 2*y**4 + 9*y**2 + 2*y**3 - 7*y**2 = 0.
-1, 0, 1
Let n(s) be the first derivative of -s**7/70 - s**6/10 - 3*s**5/20 + s**4/2 + 2*s**3 + 18*s**2 + 60. Let k(h) be the second derivative of n(h). Factor k(l).
-3*(l - 1)*(l + 1)*(l + 2)**2
Suppose -57*u - 116 = -173. Suppose u - r + 1/4*r**2 = 0. Calculate r.
2
Let l = -260 - -265. Let o(i) be the second derivative of -1/3*i**4 + 0*i**2 + 0 + 4/3*i**3 - 1/5*i**l - 9*i. Factor o(x).
-4*x*(x - 1)*(x + 2)
Let t be 18/10*(13 + (-170)/15). Let l(z) be the second derivative of 15/2*z**2 + 1/4*z**4 + t*z**3 + 0 - z. Find o such that l(o) = 0.
-5, -1
Let i be 14 + 3*(-1)/1. Solve -7*d - 13*d**2 - i*d + 2*d + 9*d**2 = 0 for d.
-4, 0
Determine d, given that 11*d - 9 + 3*d**2 - 2*d**2 - 8*d - 3*d = 0.
-3, 3
Solve 16 - 4*q + 5/2*q**4 - q**3 + 1/2*q**5 - 14*q**2 = 0 for q.
-4, -2, 1, 2
Suppose -30*t + 121 = -19*t. Solve -9*y**2 + 2*y**2 + 3*y**2 + 2*y + 13*y**3 - t*y**2 = 0.
0, 2/13, 1
Suppose -g + 3*a = 2*g - 18, 9 = -2*g - 5*a. Let j be (g/1)/(1/3). Suppose -7*h**3 + j*h**2 - 7*h**4 - 2 + 2*h**3 - 4*h + 4*h + 5*h = 0. Calculate h.
-1, 2/7, 1
Find x such that -57*x**2 - 3 + 107*x**2 - 9 - 53*x**2 + 12*x = 0.
2
Factor -68*y - 10/3*y**2 - 80/3.
-2*(y + 20)*(5*y + 2)/3
Suppose -k + 5*k + 6 = -3*b, 4*b + 8 = k. Let w be (-8)/(1*b) + (-161)/46. Find a such that -1/4*a**3 + 3/4*a**2 - w*a + 0 = 0.
0, 1, 2
Let f(y) be the second derivative of -y**6/540 - y**5/270 + 2*y**2 - y. Let r(s) be the first derivative of f(s). Factor r(o).
-2*o**2*(o + 1)/9
Let h(n) = -4*n**2 + 7*n + 8. Let m(o) = 6*o + 20*o**2 - 6 - 42*o - 27 - 7. Let d(p) = 16*h(p) + 3*m(p). Determine z so that d(z) = 0.
-1, 2
Let j = 272/315 + -2/315. Find b such that j*b**2 + 0 + 2/7*b**4 + 6/7*b**3 + 2/7*b = 0.
-1, 0
Solve -152/5*n**3 + 1284/5*n**2 + 320 + 608*n + 4/5*n**4 = 0.
-1, 20
Suppose 335*l + l = 1344. Suppose 1/3*k**3 + l*k + k**4 - 4/3 - 11/3*k**2 - 1/3*k**5 = 0. Calculate k.
-2, 1, 2
Let o(f) = -f**3 + 33*f - 13. Let z be o(-6). Let v(h) be the second derivative of -2*h**2 - 1/10*h**z + 5*h + 0 + 1/3*h**4 + 1/3*h**3. Factor v(l).
-2*(l - 2)*(l - 1)*(l + 1)
Let n be 15*-17*(-19)/8075. Suppose -n*w**2 + 27/5 + 0*w = 0. Calculate w.
-3, 3
Let g(t) = t**2 - 21*t + 43. Let z be g(19). Factor z*p**4 + 2*p**4 + 2*p**4 + 5*p**2 - 14*p**4.
-5*p**2*(p - 1)*(p + 1)
Let x(q) be the first derivative of 20*q**3/21 + 62*q**2/7 + 24*q/7 - 216. Suppose x(p) = 0. What is p?
-6, -1/5
Let p(j) be the second derivative of j**7/147 - 11*j**6/105 + 9*j**5/35 + 65*j**4/21 - 275*j**3/21 - 375*j**2/7 - 248*j. Solve p(a) = 0 for a.
-3, -1, 5
Let t(i) be the first derivative of i**7/1680 + i**6/180 + i**5/80 + 3*i**3 + 24. Let p(y) be the third derivative of t(y). Factor p(f).
f*(f + 1)*(f + 3)/2
Let q(u) be the third derivative of u**5/100 - u**4/10 + 2*u**3/5 - 69*u**2. Solve q(p) = 0.
2
Let z(g) = -g**3 - g**2 - g. Suppose j - 6*j = -25. Let w = 7 - j. Let v(q) = -145*q**3 - 82*q**2 - 10*q. Let b(o) = w*z(o) + v(o). Solve b(h) = 0.
-2/7, 0
Determine m so that 144 + 719*m**4 + 61*m**4 - 168*m**5 + 2212*m**2 - 960*m - 2076*m**3 + 68*m**5 = 0.
2/5, 1, 3
Let j(m) = -m**2 - 6*m + 13. Let p be j(-7). Suppose -o + 3*o - p = 0. Factor -4/5*x**o - 16/5 + 0*x + 12/5*x**2.
-4*(x - 2)**2*(x + 1)/5
Let i(t) be the first derivative of 18*t**5/25 - 21*t**4/5 + 32*t**3/5 - 6*t**2/5 - 18*t/5 + 327. Determine x, given that i(x) = 0.
-1/3, 1, 3
Let n(c) be the third derivative of c**7/42 - c**6/4 - 167*c**5/12 + 110*c**4 + 19360*c**3/3 - 167*c**2. Determine j, given that n(j) = 0.
-8, 11
Factor -9*y**5 + 7*y**4 - 9 - 17*y + 5*y**5 + 3*y**5 + 2*y**2 + 18*y**3.
-(y - 9)*(y - 1)*(y + 1)**3
Suppose 3*m = -2*q - 3, -3*m + 12 = -4*q + 33. Let y be (-2)/q*(-2)/6. Determine d so that 2/9*d**2 - 4/9 + y*d = 0.
-2, 1
Let f(u) = -u**2 - 22*u - 17. Let o be f(-21). Suppose 36*l**2 - 26*l**2 + 15*l**3 + 4*l**o + l**4 = 0. What is l?
-2, -1, 0
Let y = 8/233 + 10453/932. Suppose 18*b**4 + 3/2*b**2 + 0*b - 12*b**5 + y*b**3 + 0 = 0. What is b?
-1/4, 0, 2
Let a(b) be the first derivative of 5*b**6/2 + 3*b**5/5 - 93*b**4/16 - 2*b**3 + 33*b**2/8 + 3*b - 216. Determine c, given that a(c) = 0.
-1, -1/2, 4/5, 1
Suppose -25*m + 144 = -17*m. Let p be (-3)/(-4)*m/27. Let p*n**2 + 0*n + 1/2*n**5 + 3/2*n**3 + 3/2*n**4 + 0 = 0. What is n?
-1, 0
Let a(d) be the second derivative of -59*d**7/7 + 121*d**6/10 - 9*d**5/20 + 60