e the second derivative of 5/33*l**3 + 0*l**2 - 1/66*l**4 - 1/22*l**5 - 183*l + 0 + 1/165*l**6. Factor a(g).
2*g*(g - 5)*(g - 1)*(g + 1)/11
Let x(b) = 15*b + 3. Let f be x(1). Let g be 1*849/9 + 12/f. Factor -7 - 10*w - 26*w + g + 20 + 3*w**2.
3*(w - 6)**2
Let l(h) be the second derivative of h**5/20 - 37*h**4/12 + 71*h**3/6 - 35*h**2/2 + 481*h - 7. Factor l(q).
(q - 35)*(q - 1)**2
Suppose 0 = -0*i + 22*i - 1144. Suppose 18*x - i = -16. Determine a so that 0*a - 2/7*a**x + 0 = 0.
0
Let c(h) = -h**3 + 259*h**2 + 18471*h - 99405. Let z(k) = 3*k**3 - 509*k**2 - 36942*k + 198810. Let f(o) = 5*c(o) + 2*z(o). Factor f(u).
(u - 5)*(u + 141)**2
Let m be (-10 - 4) + 6 + (-413)/(-49). Factor -9/7*z**2 + 12/7*z - m.
-3*(z - 1)*(3*z - 1)/7
Let j(p) be the first derivative of -p**6/48 - p**5/20 + 3*p**4/8 - 7*p**3/12 + 5*p**2/16 - 408. Determine a so that j(a) = 0.
-5, 0, 1
Let s = -66 + 27. Let z = 52 + s. Let -z*g - 2*g**3 - 2*g**3 + 15*g + 2*g**5 = 0. What is g?
-1, 0, 1
Let b(h) be the second derivative of -h**4/42 + 884*h**3/21 - 195364*h**2/7 + 2970*h. Factor b(g).
-2*(g - 442)**2/7
Let i(c) be the first derivative of 16 + 0*c**2 - 1/3*c**4 + 1/20*c**5 - c + 2/3*c**3. Let b(v) be the first derivative of i(v). Determine m so that b(m) = 0.
0, 2
Let y(n) be the third derivative of n**5/150 - 7*n**4/30 - 17*n**3/5 - 888*n**2. Factor y(s).
2*(s - 17)*(s + 3)/5
Determine v so that -82*v**2 + 124893 - 24*v**2 + 1422*v - 22*v**3 - 126189 + 2*v**4 = 0.
-8, 1, 9
Let l(b) be the second derivative of b**5/15 + 25*b**4/9 - 272*b**3/3 - 288*b**2 + 12208*b. Factor l(k).
4*(k - 12)*(k + 1)*(k + 36)/3
Let j be (-4122)/(-378) - 7 - (-44)/(-33). Solve -j - 21*d**2 - 15/7*d**4 - 6/7*d**5 + 87/7*d + 99/7*d**3 = 0 for d.
-6, 1/2, 1
Suppose -3*g + 3*s - 11 = -14, 3*g - 11 = -5*s. Suppose -6*q + 5 = m - 7*q, g*m + 4*q = -8. Let -9 - 1/2*v**4 + 3/2*v**3 - 15/2*v + 7/2*v**m = 0. Calculate v.
-2, -1, 3
Let g be ((-135)/12)/(132/(-32)). Let t = 9612/7535 - 2/685. Find y, given that -2/11 - 8/11*y**4 - 26/11*y**3 - t*y - g*y**2 = 0.
-1, -1/4
Let h(g) be the third derivative of 71*g**2 - 11/24*g**4 + 0 + 1/336*g**8 - 1/20*g**6 - 1/210*g**7 + 1/2*g**3 + 0*g + 7/30*g**5. Factor h(z).
(z - 1)**4*(z + 3)
Factor -36/7*k + 39/7 - 3/7*k**2.
-3*(k - 1)*(k + 13)/7
Let h(x) be the second derivative of -1/28*x**4 + 1/7*x**3 + 1 + 0*x**2 + 4*x. Solve h(u) = 0.
0, 2
Suppose 91 = 5*i + 42 - 46, 2*r + 2*i - 38 = 0. Factor 2/3*b**2 + 0*b + r + 2/3*b**3.
2*b**2*(b + 1)/3
Suppose 35*l - 318 + 464 = 216. Factor -1/2*t**3 - 3/2*t**l + 0 - t.
-t*(t + 1)*(t + 2)/2
Let l = -3072/25 - -3332/25. Factor 2/5*g**2 - 54/5 - l*g.
2*(g - 27)*(g + 1)/5
Let v(j) be the first derivative of j**4/20 - 3*j**3/2 + 21*j**2/5 - 42*j + 97. Let t(g) be the first derivative of v(g). Factor t(w).
3*(w - 14)*(w - 1)/5
Let y(l) = -l**2. Let b(g) = 2*g**3 - 12*g**2 + 40*g - 16. Let t be (0 - 1)*(4 - (4 - -5)). Let d(z) = t*y(z) + b(z). Let d(h) = 0. Calculate h.
1/2, 4
Solve 9634*u**5 + 64*u + 32*u**2 + 9627*u**5 - 2*u**4 - 19259*u**5 - 36*u**3 = 0 for u.
-4, -1, 0, 2, 4
Suppose 0 = -3*f + 24334 - 24217. Let h(u) be the first derivative of f + 3*u**5 - 51/4*u**4 + 0*u + 16*u**3 - 6*u**2. Solve h(v) = 0 for v.
0, 2/5, 1, 2
Factor -2111209/7 - 2906/7*n - 1/7*n**2.
-(n + 1453)**2/7
Suppose -463 = -y + 5*b, -8*y - 1373 = -11*y - b. Let m = y - 2287/5. Solve -3/5*z**4 - 3/5*z**3 + 3/5*z**2 + 0 + m*z = 0.
-1, 0, 1
Let n(a) be the first derivative of -49*a**4/2 + 2534*a**3/3 - 3320*a**2 + 4600*a + 6901. What is i in n(i) = 0?
10/7, 23
Let h(j) = -2*j**3 + j**2. Let c = 64 + -71. Let v(k) = -k - 6. Let q be v(c). Let r(a) = -3*a**3 + 15*a**2 + 9*a. Let p(l) = q*r(l) - 3*h(l). Solve p(y) = 0.
-3, -1, 0
Let u = 86 + -83. What is s in 3*s + 5*s**2 - s**3 - 2*s**2 + 5*s**3 - 7*s**u - 3 = 0?
-1, 1
Let i(k) be the third derivative of -k**6/120 - 14*k**5/15 + 62*k**4/3 - 512*k**3/3 + 1018*k**2. Suppose i(b) = 0. What is b?
-64, 4
Let b(q) = 3*q**2 + 84*q + 4. Let n(d) = -d**2 + 10*d - 1. Let m(a) = 3*b(a) + 12*n(a). Let m(g) = 0. Calculate g.
0, 124
Let g be ((-30)/(-4))/((-2)/(360/(-10))). Let h be (-225)/g - (-22)/6. What is i in 2/9*i**h - 1/9*i**4 + 0*i**3 - 1/9 + 0*i = 0?
-1, 1
Let k(z) = z**3 - 11*z**2 - 425*z - 2093. Let n be k(-7). Factor n*l + 1/5*l**5 + 0 - 1/5*l**4 - 3/5*l**2 - l**3.
l**2*(l - 3)*(l + 1)**2/5
Let b = -9 + 6. Let i be (-2)/(1 + 1 + b). Factor 6*n**4 - 6*n**3 + 7*n**5 - 4*n**5 - 21*n - 12 - 24*n**2 + i + 4.
3*(n - 2)*(n + 1)**4
Let c(k) be the first derivative of k**4/4 + 401*k**3/3 + 39999*k**2/2 - 40401*k + 8554. Suppose c(r) = 0. Calculate r.
-201, 1
Suppose 114*f - 1398 - 166 - 716 = 0. Let m(n) be the first derivative of 6/7*n**2 + 1/7*n**4 - 4/7*n - 4/7*n**3 + f. Factor m(t).
4*(t - 1)**3/7
Let n be 3/(-1)*16/(-16). Suppose b - 3*r - 18 = 0, 2*b + 3*b - 30 = n*r. Factor -2*y**2 - 8/5 + 16/5*y + 2/5*y**b.
2*(y - 2)**2*(y - 1)/5
Let z = 907 + -905. Solve 346*w + 108*w**3 + 96*w**z + 8*w**2 - 172*w + 4*w**4 - 174*w = 0 for w.
-26, -1, 0
Factor 228/5 + 458/5*x + 2/5*x**3 + 232/5*x**2.
2*(x + 1)**2*(x + 114)/5
Let i = 786292/21 + -112324/3. What is d in 34/7*d**4 + 0 - 40/7*d**3 + i*d**2 - 8/7*d**5 + 0*d = 0?
0, 1/4, 2
Let n(t) = 2*t**2 - 749*t + 67574. Let u be n(223). Solve -2/7*l**4 - 2/7 - 1/7*l**u - 1/7*l + 4/7*l**2 + 2/7*l**3 = 0.
-2, -1, 1
Suppose 3*w = -3*n + 12, -w + 18 = -3*n - 6. What is l in 5*l**4 - w*l + 35*l**2 - 7*l + 9*l - 8*l - 25*l**3 = 0?
0, 1, 3
Let w(b) be the third derivative of b**7/105 - 29*b**6/30 - 439*b**5/30 - 257*b**4/3 - 260*b**3 + 3715*b**2. Let w(l) = 0. What is l?
-3, -2, 65
Let l be (-12)/(-10)*(825/495)/((-14)/(-24)). Let 0 + l*n - 3/7*n**5 - 9/7*n**4 + 6/7*n**3 + 36/7*n**2 = 0. Calculate n.
-2, -1, 0, 2
Let l = 4351/18 + -47825/198. Solve l*i**2 - 12/11*i + 0 = 0.
0, 6
Let o(w) be the second derivative of 0 - 1/6*w**2 + 5/18*w**3 + 24*w - 2/9*w**4 + 1/15*w**5. Factor o(c).
(c - 1)*(2*c - 1)**2/3
Let m(k) = k**2 + 12*k + 4. Let v be m(-12). Suppose l = -v*i + i + 6, 0 = -i + 1. Solve -j**2 - 7*j**2 + 0*j**3 + 2*j**l + 6*j**2 = 0 for j.
0, 1
Let g(s) be the third derivative of -s**6/1260 - s**5/210 + 38*s**3/3 + 28*s**2 + 2*s. Let u(o) be the first derivative of g(o). Let u(k) = 0. Calculate k.
-2, 0
Factor -2051*y - 4206601/2 - 1/2*y**2.
-(y + 2051)**2/2
Factor -20*z**3 + 20*z - 30*z**2 - 196*z**4 - 13 + 3 + 201*z**4 + 35.
5*(z - 5)*(z - 1)*(z + 1)**2
Let c(v) be the third derivative of -v**8/4032 - 41*v**7/504 - 1681*v**6/144 - 49*v**5/60 + 145*v**2. Let o(d) be the third derivative of c(d). Factor o(a).
-5*(a + 41)**2
Let q(g) be the first derivative of 0*g + 118 - 5*g**3 + 3/16*g**4 + 57/8*g**2. Factor q(j).
3*j*(j - 19)*(j - 1)/4
Let c(j) be the first derivative of -5*j**6/21 - 438*j**5/35 - 1293*j**4/7 - 8188*j**3/21 - 183*j**2 + 126*j - 2377. Suppose c(o) = 0. Calculate o.
-21, -1, 1/5
Suppose -187*z + 438 = 92*z - 60*z. Suppose -147/4*p**z - 27/4 + 63/2*p = 0. What is p?
3/7
Determine q, given that 6392*q - 94*q**3 - 4*q**4 - 33/4*q**2 - 18496 = 0.
-16, 17/4
Let r(q) be the third derivative of -q**6/2520 - q**5/840 + 37*q**3/3 - 3*q**2 - 14. Let x(m) be the first derivative of r(m). What is k in x(k) = 0?
-1, 0
Suppose -60 = -29*x + 23*x. Let v be -6 + x + (116/(-22) - -2). Determine i, given that -10/11*i + v + 2/11*i**2 = 0.
1, 4
Let a(f) be the first derivative of -f**5/30 + 25*f**4/12 + 26*f**3/3 + 79*f**2/6 + 53*f/6 - 10593. Factor a(h).
-(h - 53)*(h + 1)**3/6
Let x(f) be the third derivative of f**7/210 - 5*f**6/4 + 456*f**5/5 + 1444*f**4/3 - 186*f**2 + 4*f - 1. Let x(v) = 0. What is v?
-2, 0, 76
Let x be (3 + 3447 - 3)*(0 + 1). Solve 48 + 36*p**2 + 67*p - 3443*p**3 + x*p**3 + 13*p = 0 for p.
-6, -2, -1
Let d(b) = 334*b**2 + 1025*b + 767. Let m(v) = -2*v**3 - 2007*v**2 - 6157*v - 4603. Let z(k) = -39*d(k) - 6*m(k). Factor z(w).
3*(w - 85)*(2*w + 3)**2
Let i(a) = -64 + 70*a - 34*a - 155 + 38*a. Let c be i(3). Solve -1/2*m**2 + 0 + 1/6*m**c - 2/3*m = 0.
-1, 0, 4
Let p be 8 + ((-81430)/(-600))/(-17). Let x(t) be the second derivative of -1/18*t**4 + 0*t**3 + 12*t + 0 - p*t**5 + 0*t**2 + 1/90*t**6. Factor x(q).
q**2*(q - 2)*(q + 1)/3
Let c = 94853/426771 - 5/142257. Factor c*t**3 + 64/9*t - 40/9 - 26/9*t**2.
2*(t - 10)*(t - 2)*(t - 1)/9
Let u(l) be the first deriv