be the third derivative of -l**5/12 - 85*l**4/24 - 130*l**3/3 + 24*l**2 + 3*l. Let x(i) = 0. What is i?
-13, -4
Let o(r) = 2*r - 14. Let l be o(8). Solve -14*g**4 + 2*g**2 + 5*g**4 + 7*g**4 - 2*g**3 + l*g**2 = 0.
-2, 0, 1
Suppose 4*j + h = -1 - 86, -4*j = 3*h + 93. Let a be ((-10)/(-6))/((-7)/j). What is m in 3*m**a - 11*m**4 + 3*m + 6*m**2 + 15*m**3 - m - 15*m**2 = 0?
0, 2/3, 1
Let n(w) = 3*w**4 + 51*w**3 + 51*w**2 - 3*w + 3. Let v(a) = 3*a**4 + 51*a**3 + 50*a**2 - 2*a + 2. Let m(j) = -2*n(j) + 3*v(j). Solve m(x) = 0 for x.
-16, -1, 0
Let t = -491/4 - -123. Let u(h) be the first derivative of 2 - t*h**4 - 2*h**2 + 0*h - 4/3*h**3. Find r, given that u(r) = 0.
-2, 0
Let g(v) = 9*v**4 - 42*v**3 + 198*v**2 - 6*v + 6. Let i(o) = o**4 + o**3 + o**2 - o + 1. Let t(m) = g(m) - 6*i(m). Factor t(b).
3*b**2*(b - 8)**2
Suppose 3 = -3*r + 3*b, r + 2*b = -r + 18. Solve -5*n**3 - 3*n**4 + n**4 + 4*n**4 + 3*n**r = 0.
0, 1
Let o be ((-285)/35 - -8)/(36/14). Let z = 65/36 + o. What is n in 3/2 - 19/4*n - z*n**2 = 0?
-3, 2/7
Let b(d) be the first derivative of 27*d**2 + 28 + 1/10*d**5 + 9*d**3 + 81/2*d + 3/2*d**4. Let b(f) = 0. Calculate f.
-3
Suppose -3*j = -z - 1, 7*j = 2*j + 4*z - 10. Suppose -j + 4 = v. Find r such that 1/2 + 1/4*r - 1/4*r**v = 0.
-1, 2
Let c(f) = -15 + 20 - f**3 - 5*f - 5*f**2 - 6. Let l be c(-4). Solve -3*v**5 + 4*v**l - 4*v**4 - 10*v**4 + 13*v**5 = 0 for v.
0, 2/5, 1
Suppose 41 = 3*k - 2*i, -k = 2*i - i - 17. Factor 16*l - 8*l**2 - 4 - 3*l**2 + k*l**2 + 16*l**2.
4*(l + 1)*(5*l - 1)
Let t be 57/(-30)*2 + 5. Factor 16/5*a - t + 0*a**3 - 12/5*a**2 + 2/5*a**4.
2*(a - 1)**3*(a + 3)/5
Let p be 3 - ((-1)/(-16))/(81/1296). Suppose -2*g = -5*g. Factor 3/5*t + 3/5*t**4 + 9/5*t**3 + 9/5*t**p + g.
3*t*(t + 1)**3/5
Suppose -4*x = -9*x + 35. Let i(p) be the second derivative of 0 + 0*p**2 - 1/9*p**3 - x*p - 1/18*p**4 + 1/45*p**6 + 1/30*p**5. Suppose i(g) = 0. Calculate g.
-1, 0, 1
Let p(g) be the third derivative of g**6/200 + g**5/100 - g**4/40 - g**3/10 + 264*g**2. What is l in p(l) = 0?
-1, 1
Find d such that d - 16 + 4*d**2 + d + 2*d + 0*d + 8*d = 0.
-4, 1
Let a(n) = 11*n - 86. Let v be a(8). Let r(i) be the third derivative of 0*i + 2/9*i**3 + 0 - 1/180*i**6 + 1/12*i**4 + 0*i**5 + i**v. Factor r(f).
-2*(f - 2)*(f + 1)**2/3
Let y(m) be the third derivative of -m**8/2240 + m**7/840 + m**6/240 - m**5/40 - 25*m**4/24 - 14*m**2. Let w(b) be the second derivative of y(b). Factor w(x).
-3*(x - 1)**2*(x + 1)
Let b be 1*36*(-2)/(-4). Suppose b = 2*s + 4*s. Factor 0 + 2/9*j**2 - 2/9*j**s + 0*j.
-2*j**2*(j - 1)/9
Let z = 1680/2291 - -168/395. Let s = z - -36/29. Factor -3*g - 6/5 - s*g**2 - 3/5*g**3.
-3*(g + 1)**2*(g + 2)/5
Let m be (-433)/46 - (-3078)/324. Factor -6/23*j**3 - m*j**4 + 0 - 10/23*j + 18/23*j**2.
-2*j*(j - 1)**2*(j + 5)/23
Factor -31/5*u + 8/5 - 4/5*u**2.
-(u + 8)*(4*u - 1)/5
Let n be (-1520)/(-3300) + 1/((-10)/4). Let u(k) be the first derivative of -2 - n*k**3 - 2/11*k**2 + 0*k. Suppose u(w) = 0. What is w?
-2, 0
Let r = -1864 - -1866. What is j in -11/2*j**r - 1 - 11/2*j + 13/2*j**4 + 7/2*j**3 + 2*j**5 = 0?
-2, -1, -1/4, 1
Let h = -1543933/2898 + -41/414. Let o = -532 - h. Factor 2/7*n**2 + o*n + 4/7.
2*(n + 1)*(n + 2)/7
Suppose -1/3*l**2 - 4/3*l - 1 = 0. Calculate l.
-3, -1
Let a(q) = q**3 + q**2. Let h(m) = -4*m**3 - 176*m**2 - 348*m - 176. Let i(g) = -8*a(g) - h(g). Solve i(o) = 0.
-1, 44
Suppose 0 = -884*j + 1115*j - 462. Suppose -1/6*z**j - 1/2 - 5/6*z + 1/6*z**3 = 0. What is z?
-1, 3
Let y(u) be the third derivative of -u**6/280 - u**5/28 - u**4/28 + 4*u**3/7 + 74*u**2. Let y(s) = 0. Calculate s.
-4, -2, 1
Factor 0 - 2/5*u - 2/15*u**2.
-2*u*(u + 3)/15
Let m(o) be the second derivative of 0*o**2 + 1/60*o**4 - 1/100*o**5 + 1 + 52*o + 1/30*o**3 - 1/150*o**6. Let m(h) = 0. What is h?
-1, 0, 1
Determine s, given that 0 + 4/7*s**5 + 78/7*s**3 + 38/7*s**4 + 2*s + 58/7*s**2 = 0.
-7, -1, -1/2, 0
Suppose 965 = 6*c - 223. Let v be c/55 - (3 + -1). Let -8/5*u + v - 6/5*u**2 = 0. Calculate u.
-2, 2/3
Let v(f) = 902*f**5 + 2042*f**4 + 1392*f**3 + 270*f**2 + 14*f. Let x(a) = -a**5 - a**4 + 2*a**3 + a**2 + a. Let m(u) = v(u) + 2*x(u). Factor m(o).
4*o*(o + 1)**2*(15*o + 2)**2
Let 102/7*d**2 - 3/7*d**3 + 96/7 - 195/7*d = 0. What is d?
1, 32
Suppose -2*v + 5*p - 5 = -18, -p - 39 = -3*v. Suppose 4*n - v = 34. Solve -n*w**3 - 2*w**2 - 7*w**2 - 3 + 9*w + 15*w**3 = 0.
1
Let b(l) be the first derivative of -24 + 0*l - 6/5*l**5 + 0*l**2 - 7/12*l**6 + 1/2*l**4 + 0*l**3. Factor b(a).
-a**3*(a + 2)*(7*a - 2)/2
Determine n, given that -5*n**3 - 7*n**2 - 32*n - 93*n**2 + 3*n**3 - n**3 - 9*n**3 = 0.
-8, -1/3, 0
Let k(b) be the third derivative of b**6/480 - 7*b**5/240 - b**4/12 + 158*b**2. Factor k(x).
x*(x - 8)*(x + 1)/4
Let n(t) = 7*t**5 + 20*t**4 - 16*t**3 + 4*t**2. Let p(m) = -25*m**5 - 80*m**4 + 65*m**3 - 15*m**2. Let i(u) = 15*n(u) + 4*p(u). Let i(l) = 0. What is l?
0, 2
Let n be -87*(1 - (7 - 4))/(-2). Let c be (1 - 4)/((9/n)/3). Factor 147/5*q**5 + c*q**2 + 141*q**3 + 24*q + 105*q**4 + 12/5.
3*(q + 1)**3*(7*q + 2)**2/5
Let p = 437/198 - -223/198. Factor -5/3*a**3 + p*a**2 + 20/3*a - 40/3.
-5*(a - 2)**2*(a + 2)/3
Let p(r) = -13*r + 702. Let s be p(54). Suppose 0*y**4 + 0*y**3 + 1/4*y**5 + 0 + s*y**2 + 0*y = 0. Calculate y.
0
Factor 0 + 0*l + 1/2*l**2.
l**2/2
Let u(w) = 0*w - 17 - w + 2*w. Let z be u(20). Suppose r**2 - 5*r**z + 3*r**2 + 0*r**2 + 17*r**3 = 0. What is r?
-1/3, 0
Let m(d) be the first derivative of -2*d**3/51 + 28*d**2/17 - 392*d/17 + 98. Factor m(t).
-2*(t - 14)**2/17
Let p(w) be the third derivative of 0 - 3*w**2 + 0*w**3 + 0*w**6 + 1/168*w**8 + 0*w - 1/15*w**5 - 1/12*w**4 + 2/105*w**7. Factor p(o).
2*o*(o - 1)*(o + 1)**3
Let g(j) be the second derivative of j**7/840 + j**6/240 - j**5/240 - j**4/48 - 6*j**2 - 4*j. Let x(v) be the first derivative of g(v). Factor x(a).
a*(a - 1)*(a + 1)*(a + 2)/4
Let l be (-3328)/(-1768) + (-4)/(-34). Factor -2/9*q**4 - 16/9*q**l + 10/9*q**3 + 8/9*q + 0.
-2*q*(q - 2)**2*(q - 1)/9
Suppose 6*z + d - 10 = 0, 0*z + 5*z - 3*d = 16. Determine s, given that 0*s + 0 + 0*s**z + s**3 - 1/3*s**4 = 0.
0, 3
Let i(v) = v**3 + v**2. Let t = 14 + -11. Suppose -g + 1 - t = 0. Let r(f) = 6*f**4 + 10*f**3 + 4*f**2. Let o(j) = g*r(j) + 4*i(j). Suppose o(m) = 0. What is m?
-1, -1/3, 0
Let x be 3/12 - 5/((-40)/46). Suppose 0 + 2*t + x - 3*t - 2 - 4*t**2 + t**3 = 0. What is t?
-1, 1, 4
Let i(h) be the first derivative of 5*h**5/6 - 55*h**4/6 + 113*h**3/6 - 43*h**2/3 + 14*h/3 - 43. Factor i(m).
(m - 7)*(m - 1)*(5*m - 2)**2/6
Let g(h) be the third derivative of h**6/30 + h**5/30 + 10*h**2. Let a(v) = -5*v**3 - v**2. Let w(l) = 3*a(l) + 4*g(l). Determine m so that w(m) = 0.
-5, 0
Let 3*c**2 - 23104 + 3*c**2 - 608*c - 18*c**2 + 5*c**2 + 3*c**2 = 0. What is c?
-76
Let o(l) be the second derivative of l**7/98 + 7*l**6/30 + 43*l**5/70 - 35*l**4/3 + 100*l**3/7 + 465*l. Solve o(d) = 0 for d.
-10, 0, 2/3, 3
Let j(f) = -3*f**3 + f**2 - 14*f - 14. Let m(g) = -4*g**3 + 5*g**2 - 13*g - 15. Let h(z) = 3*j(z) - 2*m(z). What is s in h(s) = 0?
-3, -2
Let r(a) be the first derivative of -4*a**5 - 44*a**4/3 - 100*a**3/9 + 16*a**2/3 + 16*a/3 + 143. Solve r(k) = 0.
-2, -1, -1/3, 2/5
Suppose 5*q = -a + 23 + 2, q = 3*a + 5. Factor -12/7*l**3 + a*l**4 + 4/7*l**5 + 8/7*l**2 + 0 + 0*l.
4*l**2*(l - 1)**2*(l + 2)/7
Let i be 208/40 + (-1)/((-8)/(-16)). Suppose -4/5*d**3 - 8/5 - 4*d - i*d**2 = 0. What is d?
-2, -1
Let b(w) be the third derivative of -3/2*w**4 + 0 + 18*w**3 + 1/20*w**5 - 9*w**2 + 0*w. Factor b(a).
3*(a - 6)**2
Let y(l) be the second derivative of -l**6/120 + l**5/40 + 13*l**4/48 + 5*l**3/12 + 125*l. Factor y(x).
-x*(x - 5)*(x + 1)*(x + 2)/4
Factor -50/11*y**3 - 2/11 + 18/11*y - 30/11*y**2.
-2*(y + 1)*(5*y - 1)**2/11
Let s(q) be the second derivative of -4*q**7/273 + 11*q**6/39 + 9*q**5/65 - 55*q**4/78 - 14*q**3/39 + 6*q + 9. Suppose s(r) = 0. What is r?
-1, -1/4, 0, 1, 14
Factor -42*y**2 + 75 - 40*y**2 + 77*y**2 + 10*y.
-5*(y - 5)*(y + 3)
Let b = -34685 + 34689. Suppose 2*u**2 + 2/5*u**b - 4/5*u - 8/5*u**3 + 0 = 0. What is u?
0, 1, 2
Determine a so that 0 - 36/11*a**3 + 0*a**2 - 2/11*a**4 + 0*a = 0.
-18, 0
Let w(y) = y**4 + y**3 - y**2 + 1. Let b(m) = 5*m**4 + 23*m**3 + 31*m**2 + 15*m + 2. Let v(p) = -b(p) + 2*w(p). Solve v(j) = 0 for j.
-5